title:
Quantum Information Transfer between Topological and Superconducting
  Qubits

abstract:
  We describe a scheme that enables a strong Jaynes-Cummings coupling between a
topological qubit and a superconducting flux qubit. The coupling strength is
dependent on the phase difference between two superconductors on a topological
insulator and may be expediently controlled by a phase controller. With this
coherent coupling and single-qubit rotations arbitrary unitary operations on
the two-qubit hybrid system of topological and flux qubits can be performed.
Numerical simulations show that quantum state transfer and entanglement
distributing between the topological and superconducting flux qubits may be
performed with high fidelity.


title: Towards a criterion for slope stability of Fano manifolds along divisors

abstract:
  We give a simple criterion for slope stability of Fano manifolds $X$ along
divisors or smooth subvarieties. As an application, we show that $X$ is slope
stable along an ample effective divisor $D\subset X$ unless $X$ is isomorphic
to a projective space and $D$ is a hyperplane section. We also give
counterexamples to Aubin's conjecture on the relation between the anticanonical
volume and the existence of a K\"ahler-Einstein metric. Finally, we consider
the case that $\dim X=3$; we give a complete answer for slope (semi)stability
along divisors of Fano threefolds.


title:
Sophie, an FDTD code on the way to multicore, getting rid of the memory
  bandwidth bottleneck better using cache

abstract:
  FDTD codes, such as Sophie developed at CEA/DAM, no longer take advantage of
the processor's increased computing power, especially recently with the raising
multicore technology. This is rooted in the fact that low order numerical
schemes need an important memory bandwidth to bring and store the computed
fields. The aim of this article is to present a programming method at the
software's architecture level that improves the memory access pattern in order
to reuse data in cache instead of constantly accessing RAM memory. We will
exhibit a more than two computing time improvement in practical applications.
The target audience of this article is made of computing scientists and of
electrical engineers that develop simulation codes with no specific knowledge
in computer science or electronics.


title:
A Zero-Sum Stochastic Game with Compact Action Sets and no Asymptotic
  Value

abstract:
  We give an example of a zero-sum stochastic game with four states, compact
action sets for each player, and continuous payoff and transition functions,
such that the discounted value does not converge as the discount factor tends
to 0, and the value of the n-stage game does not converge as n goes to
infinity.


title: Upper Bounds for Mutations of Potentials

abstract:
  In this note we provide a new, algebraic proof of the excessive Laurent
phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A.,
Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the
upper bounds from [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126
(2005), 1-52].


title: Matching of Hecke operators for Exceptional dual pair correspondences

abstract:
  Let $\mathbf{G}$ be a split algebrac group of type $E_n$ defined over a
$p$-adic field. This group contains a dual pair $G \times G'$ where one of the
groups is of type $G_2$. The minimal representation of $\mathbf{G}$, when
restricted to the dual pair, gives a correspondence of representations of the
two groups in the dual pair. We prove a matching of spherical Hecke algebras of
$G$ and $G'$, when acting on the minimal representation. This implies that the
correspondence is functorial, in the sense of Arthur and Langlands, for
spherical representations.


title: The large scale magnetic fields of thin accretion disks

abstract:
  Large scale magnetic field threading an accretion disk is a key ingredient in
the jet formation model. The most attractive scenario for the origin of such a
large scale field is the advection of the field by the gas in the accretion
disk from the interstellar medium or a companion star. However, it is realized
that outward diffusion of the accreted field is fast compared to the inward
accretion velocity in a geometrically thin accretion disk if the value of the
Prandtl number Pm is around unity. In this work, we revisit this problem
considering the angular momentum of the disk is removed predominantly by the
magnetically driven outflows. The radial velocity of the disk is significantly
increased due to the presence of the outflows. Using a simplified model for the
vertical disk structure, we find that even moderately weak fields can cause
sufficient angular momentum loss via a magnetic wind to balance outward
diffusion. There are two equilibrium points, one at low field strengths
corresponding to a plasma-beta at the midplane of order several hundred, and
one for strong accreted fields, beta~1. We surmise that the first is relevant
for the accretion of weak, possibly external, fields through the outer parts of
the disk, while the latter one could explain the tendency, observed in full 3D
numerical simulations, of strong flux bundles at the centers of disk to stay
confined in spite of strong MRI turbulence surrounding them.


title: Observation of the Quantum Zeno Effect on a Single Solid State Spin

abstract:
  The quantum Zeno effect, i.e. the inhibition of coherent quantum dynamics by
projective measurements is one of the most intriguing predictions of quantum
mechanics. Here we experimentally demonstrate the quantum Zeno effect by
inhibiting the microwave driven coherent spin dynamics between two ground state
spin levels of the nitrogen vacancy center in diamond nano-crystals. Our
experiments are supported by a detailed analysis of the population dynamics via
a semi-classical model.


title: Transition between soft physics at LHC and low-x physics at HERA

abstract:
  We find out the connection between the unintegrated gluon distribution at low
intrinsic transverse momenta and the inclusive spectrum of the hadrons produced
in pp collision at LHC energies in the mid-rapidity region and low hadron
transverse momenta. The parameters of this distribution are found from the best
description of the LHC data. Its application to the analysis of ep deep
inelastic scattering allows us to obtain the results which reasonable describe
the H1 and ZEUS data on the structure functions at low x. The connection
between the soft processes at LHC and small-x physics at HERA is found.


title:
An Approach to Exascale Visualization: Interactive Viewing of In-Situ
  Visualization

abstract:
  In the coming era of exascale supercomputing, in-situ visualization will be a
crucial approach for reducing the output data size. A problem of in-situ
visualization is that it loses interactivity if a steering method is not
adopted. In this paper, we propose a new method for the interactive analysis of
in-situ visualization images produced by a batch simulation job. A key idea is
to apply numerous (thousands to millions) in-situ visualizations
simultaneously. The viewer then analyzes the image database interactively
during postprocessing. If each movie can be compressed to 100 MB, one million
movies will only require 100 TB, which is smaller than the size of the raw
numerical data in exascale supercomputing. We performed a feasibility study
using the proposed method. Multiple movie files were produced by a simulation
and they were analyzed using a specially designed movie player. The user could
change the viewing angle, the visualization method, and the parameters
interactively by retrieving an appropriate sequence of images from the movie
dataset.


title: Truncated channel representations for coupled harmonic oscillators

abstract:
  Coupled quantum harmonic oscillators, studied by many authors using many
different techniques over the decades, are frequently used toy-models to study
open quantum systems. In this manuscript, we explicitly study the simplest
oscillator model -- a pair of initially decoupled quantum harmonic oscillators
interacting with a spring-like coupling, where the bath oscillator is initially
in a thermal-like state. In particular, we treat the completely positive and
trace preserving map on the system as a quantum channel, and study the
truncation of the channel by truncating its Kraus set and its output dimension.
We thereby derive the truncated transition amplitudes of the corresponding
truncated channel. Finally, we give a computable approximation for these
truncated transition amplitudes with explicit error bounds, and perform a case
study of the oscillators in the off-resonant and weakly-coupled regime
numerically.
  We demonstrate explicitly that the substantial leakage error can be mitigated
via quantum error correction.


title:
Remarks on partition functions of topological string theory on
  generalized conifolds

abstract:
  The method of topological vertex for topological string theory on toric
Calabi-Yau 3-folds is reviewed. Implications of an explicit formula of
partition functions in the "on-strip" case, typically the generalized
conifolds, are considered. Generating functions of part of the partition
functions are shown to be tau functions of the KP hierarchy. The associated
Baker-Akhiezer functions play the role of wave functions, and satisfy
$q$-difference equations. These $q$-difference equations represent the quantum
mirror curves conjectured by Gukov and Su{\l}kowski.


title:
Enhanced Warm H2 Emission in the Compact Group Mid-Infrared "Green
  Valley"

abstract:
  We present results from a Spitzer, mid-infrared spectroscopy study of a
sample of 74 galaxies located in 23 Hickson Compact Groups, chosen to be at a
dynamically-active stage of HI depletion. We find evidence for enhanced warm H2
emission (i.e. above that associated with UV excitation in star-forming
regions) in 14 galaxies (~20%), with 8 galaxies having extreme values of L(H2
S(0)-S(3))/L(7.7micron PAH), in excess of 0.07. Such emission has been seen
previously in the compact group HCG 92 (Stephan's Quintet), and was shown to be
associated with the dissipation of mechanical energy associated with a
large-scale shock caused when one group member collided, at high velocity, with
tidal debris in the intragroup medium. Similarly, shock excitation or turbulent
heating is likely responsible for the enhanced H2 emission in the compact group
galaxies, since other sources of heating (UV or X-ray excitation from star
formation or AGN) are insufficient to account for the observed emission. The
group galaxies fall predominantly in a region of mid-infrared color-color space
identified by previous studies as being connected to rapid transformations in
HCG galaxy evolution. Furthermore, the majority of H2-enhanced galaxies lie in
the optical "green valley" between the blue cloud and red-sequence, and are
primarily early-type disk systems. We suggest that H2-enhanced systems may
represent a specific phase in the evolution of galaxies in dense environments
and provide new insight into mechanisms which transform galaxies onto the
optical red sequence.


title: A Counting Function

abstract:
  We define a counting function that is related to the binomial coefficients.
  An explicit formula for this function is proved.
  In some particular cases, simpler explicit formuls are derived. We also
derive a formula for the number of (0,1)-matrices, having a fixed number of
1's, and having no zero rows and zero columns.
  Further, we show that our function satisfies several recurrence relations.
  The relationship of our counting function with different classes of integers
is then examined. These classes include: different kind of figurate numbers,
the number of points on the surface of a square pyramid, the magic constants,
the truncated square numbers, the coefficients of the Chebyshev polynomials,
the Catalan numbers, the Dellanoy numbers, the Sulanke numbers, the numbers of
the coordination sequences, and the number of the crystal ball sequences of a
cubic lattice.
  In the last part of the paper, we prove that several configurations are
counted by our function. Some of these are: the number of spanning subgraphs of
the complete bipartite graph, the number of square containing in a square, the
number of coloring's of points on a line, the number of divisors of some
particular numbers, the number of all parts in the compositions of an integer,
the numbers of the weak compositions of integers, and the number of particular
lattice paths.
  We conclude by counting the number of possible moves of the rook, bishop, and
queen on a chessboard.
  The most statements in the paper are provided by bijective proofs in terms of
insets, which are defined in the paper. With this we want to show that
different configurations may be counted by the same method.


title:
Decentralized Lifetime Minimizing Tree for Data Aggregation in Wireless
  Sensor Networks

abstract:
  To meet the demands of wireless sensor networks (WSNs) where data are usually
aggregated at a single source prior to transmitting to any distant user, there
is a need to establish a tree structure inside any given event region. In this
paper, we propose a novel technique to create one such tree, which preserves
the energy and minimizes the lifetime of event sources while they are
constantly transmitting for data aggregation in future WSNs. We use the term
Decentralized Lifetime-Minimizing Tree (DLMT) to denote this tree. DLMT
features in nodes with higher energy tend to be chosen as data aggregating
parents so that the time to detect the first broken tree link can be extended
and less energy is involved in tree maintenance. In addition, by constructing
the tree in such a way, the protocol is also able to reduce the frequency of
tree reconstruction, minimizes the amount of data loss, minimizes the delay
during data collection and preserves the energy. Forwarded directed Diffusion
protocol is chosen as the routing platform.


title:
Sliding Mode Control for Torque Evolution of a Double Feed Asynchronous
  Generator

abstract:
  This paper proposes a robust control of doublefed induction generator of wind
turbine to optimize its production: that means the energy quality and
efficiency. The proposed control reposes in the sliding mode control using a
multimodel approach which contributes on the minimization of the static error
and the chattering phenomenon. This new approach is called sliding mode
multimodel control (SMMC). Simulation results show good performances of this
control.


title:
Quantum Hairs and Entropy of Quantum Isolated Horizon from Chern-Simons
  Theory

abstract:
  We articulate the fact that the loop quantum gravity description of the
quantum macrostates of black hole horizons, modeled as Quantum Isolated
Horizons (QIHs), is completely characterized in terms of two independent
integer-valued `quantum hairs', viz,. the coupling constant $(k)$ of the
quantum $SU(2)$ Chern-Simons theory describing QIH dynamics, and the number of
punctures $(N)$ produced by the bulk spin network edges piercing the isolated
horizon (which act as pointlike sources for the Chern- Simons fields). We
demonstrate that the microcanonical entropy of macroscopic (both parameters
assuming very large values) QIHs can be obtained directly from the microstates
of this Chern-Simons theory, using standard statistical mechanical methods,
without having to additionally postulate the horizon as an ideal gas of
punctures, or incorporate any additional classical or semi-classical input from
general relativity vis-a-vis the functional dependence of the IH mass on its
area, or indeed, without having to restrict to any special class of spins.
Requiring the validity of the Bekenstein-Hawking area law relates these two
parameters (as an equilibrium `equation of state') and consequently allows the
Barbero-Immirzi parameter to take any real and positive value depending on the
value of $k/N$. The logarithmic correction to the area law obtained a decade
ago by R. Kaul and one of us (P.M.), ensues straightforwardly, with precisely
the coefficient -3/2, making it a signature of the loop quantum gravity
approach to black hole entropy.


title:
Transverse force on a vortex and vortex mass: effects of free bulk and
  vortex-core bound quasiparticles

abstract:
  The paper reassesses the old but still controversial problem of the
transverse force on a vortex and the vortex mass. The transverse force from
free bulk quasiparticles on the vortex, both in the Bose and the Fermi liquid,
originates from the Aharonov--Bohm effect. However, in the Fermi liquid one
should take into account peculiarities of the Aharonov--Bohm effect for BCS
quasiparticles described by two-component spinor wave functions. There is no
connection between the transverse force (either from free bulk quasiparticles
or from vortex-core bound quasiparticles) and the spectral flow in the vortex
core in superfluid Fermi liquid, in contrast to widely known claims. In fact,
there is no steady spectral flow in the core of the moving vortex, and the
analogy with the Andreev bound states in the SNS junction, where the spectral
flow is really possible, is not valid in this respect.
  The role of the backflow on the vortex mass is clarified. The backflow is an
inevitable consequence of a mismatch between the currents inside and outside
the vortex core and restores the conservation of the particle number (charge)
violated by this mismatch. In the Fermi liquid the backflow compensates the
current through the core bound states, which is a source of the vortex mass
(the Kopnin mass). This results in renormalization of the Kopnin vortex mass by
a numerical factor.


title: Hadron Mass Effects in Power Corrections to Event Shapes

abstract:
  We study the effect of hadron masses on the leading power correction of dijet
event-shape distributions. We define the transverse velocity operator, that
describes the effects of hadron masses. It depends on the "transverse velocity"
r, which is different from one only for non-vanishing hadron masses. We find
that hadron-mass effects in general break universality. However we provide a
simple method to identify universality classes of event shapes with a common
power correction. We also compute the anomalous dimension of the power
correction and the structure of the corresponding Wilson coefficient, finding a
nontrivial result.


title: Singularities in ternary mixtures of k-core percolation

abstract:
  Heterogeneous k-core percolation is an extension of a percolation model which
has interesting applications to the resilience of networks under random damage.
In this model, the notion of node robustness is local, instead of global as in
uniform k-core percolation. One of the advantages of k-core percolation models
is the validity of an analytical mathematical framework for a large class of
network topologies. We study ternary mixtures of node types in random networks
and show the presence of a new type of critical phenomenon. This scenario may
have useful applications in the stability of large scale infrastructures and
the description of glass-forming systems.

categories: cond-mat.dis-nn cond-mat.stat-mech math-ph math.MP


title: Hadronic molecules for charmed and bottom baryons near thresholds

abstract:
  We study hadronic molecules formed by a heavy meson and a nucleon, DN and D*N
(BbarN and Bbar*N) systems. Respecting the heavy quark symmetry and chiral
symmetry, we consider the DN-D*N (BbarN-Bbar*N$) mixing induced by the one
boson exchange potential including the tensor force. We find many bound and
resonant states with J^P=1/2^\pm, 3/2^\pm,
  5/2^\pm and 7/2^- in isospin singlet channels, while only a few resonant
states with J^P=1/2^- in isospin triplet channels. The analysis of DN and D*N
(BbarN and Bbar*N) molecules will be useful to study mass spectra of excited
charmed (bottom) baryons with large angular momenta, when their masses are
close to the DN and D*N (BbarN and Bbar*N) thresholds.


title: Lip Localization and Viseme Classification for Visual Speech Recognition

abstract:
  The need for an automatic lip-reading system is ever increasing. Infact,
today, extraction and reliable analysis of facial movements make up an
important part in many multimedia systems such as videoconference, low
communication systems, lip-reading systems. In addition, visual information is
imperative among people with special needs. We can imagine, for example, a
dependent person ordering a machine with an easy lip movement or by a simple
syllable pronunciation. Moreover, people with hearing problems compensate for
their special needs by lip-reading as well as listening to the person with
whome they are talking.


title:
Single atom trapping and control inside a nanosize photonic crystal
  cavity

abstract:
  We analyze a possibility to trap, control and load a single atom inside a
nanosize cavity formed in a photonic crystal. We consider a 1D nanobeam crystal
having two nearly degenerate localized modes with mode maxima at the central
air gap, forming a cavity with a mode volume <\lambda^{3}. For this system we
found that an atom can be trapped by a mode detuned from an atomic transition
and controled by the second resonant mode. We show that atomic motion can be
cooled using cavity-enhanced rf Sisyphus cooling. We also discuss how an atom
can be loaded inside the nanosize crystal air gap from short-wavelength optical
tweezers.


title: Two Single-shot Methods for Locating Multiple Electromagnetic Scatterers

abstract:
  We develop two inverse scattering schemes for locating multiple
electromagnetic (EM) scatterers by the electric far-field measurement
corresponding to a single incident/detecting plane wave. The first scheme is
for locating scatterers of small size compared to the wavelength of the
detecting plane wave. The multiple scatterers could be extremely general with
an unknown number of components, and each scatterer component could be either
an impenetrable perfectly conducting obstacle or a penetrable inhomogeneous
medium with an unknown content. The second scheme is for locating multiple
perfectly conducting obstacles of regular size compared to the detecting EM
wavelength. The number of the obstacle components is not required to be known
in advance, but the shape of each component must be from a certain known
admissible class. The admissible class may consist of multiple different
reference obstacles. The second scheme could also be extended to include the
medium components if a certain generic condition is satisfied. Both schemes are
based on some novel indicator functions whose indicating behaviors could be
used to locate the scatterers. No inversion will be involved in calculating the
indicator functions, and the proposed methods are every efficient and robust to
noise. Rigorous mathematical justifications are provided and extensive
numerical experiments are conducted to illustrate the effectiveness of the
imaging schemes.


title: Relations in the tautological ring of the moduli space of curves

abstract:
  The virtual geometry of the moduli space of stable quotients is used to
obtain Chow relations among the kappa classes on the moduli space of
nonsingular genus g curves. In a series of steps, the stable quotient relations
are rewritten in successively simpler forms. The final result is the proof of
the Faber-Zagier relations (conjectured in 2000).


title: On the electron transport in conducting polymer nanofibers

abstract:
  Recent advances in synthesis and electrical characterization of nanofibers
and nanotubes made out of various conjugated polymers attract attention of the
research community to studies of transport properties of these materials. In
this work we present a theoretical analysis of electron transport in polymer
nanofibers assuming them to be in conducting state. We treat a conducting
polymer as a network of metallic-like grains embedded in poorly conducting
environment, which consists of randomly distributed polymeric chains. We
analyze the contribution from intergrain electron resonance tunneling via
intermediate states localized on the polymeric chains between the grains.
Correspondingly, we apply the quantum theory of conduction in mesoscopic
systems to analyze this transport mechanism. We show that the contribution of
resonance electron tunneling to the intergrain electron transport may be
predominating, as follows from experiments on the electrical characterization
of single polyaniline nanofibers. We study the effect of temperature on the
transport characteristics. We represent the thermal environment as a phonon
bath coupled to the intermediate state, which provides electron tunneling
between the metallic-like grains. Using the Buttiker model within the
scattering matrix formalism combined with the nonequilibrium Green's functions
technique, we show that temperature dependencies of both current and
conductance associated with the intergrain electron tunneling, differ from
those typical for other conduction mechanisms in conducting polymers. Also, we
demonstrate that under certain conditions the phonon bath may cause suppression
of the original intermediate state accompanied by emergence of new states for
electron tunneling. The temperature dependencies of the magnitudes of the peaks
in the transmission corresponding to these new states are analyzed.


title: Parton Energy Loss in the Extremely Prolate Quark-Gluon Plasma

abstract:
  The energy loss per unit path length of a highly energetic parton scattering
elastically in a weakly coupled quark-gluon plasma is studied as an initial
value problem. The approach is designed to study unstable plasmas but in the
case of an equilibrium plasma the well known result is reproduced. As an
example of an unstable system, an extremely prolate plasma, where the momentum
distribution is infinitely elongated along one direction, is considered here.
The energy loss is shown to be strongly time and directionally dependent and
its magnitude can much exceed the energy loss in equilibrium plasma.


title:
Protein flexibility upon ligand binding: Docking predictions and
  statistical analysis

abstract:
  Side chain flexibility is an important factor in ligand binding. In order to
determine the extent to which side chain flexibility is involved in ligand
binding, a knowledge-based approach was taken. A database composed of examples
of protein structures in the presence or absence of a given ligand is used to
analyze which side chains undergo side chain conformational changes. Such an
analysis has determined that up to 40% of binding site do not present side
chain conformational changes. A total of three residues undergoing side chain
conformational changes encompass approximately 85% of the binding sites
studied. When analyzing the propensities of different amino acids to undergo
side chain conformational changes we find that there are considerable
differences between different amino acids. A support vector machine learning
approach was used to create a classifier system utilizing information about the
solvent accessible area as well as flexibility scale value of each specific
side chain to be predicted together with its neighboring side chains. An
accuracy level of 70% is reached using this approach. The fact that a small
number of residues undergo side chain conformational changes in the majority of
binding sites makes it feasible to introduce side chain flexibility in docking
simulations. An algorithm has been developed for introducing side chain
flexibility utilizing a hybrid genetic-algorithm/exhaustive-search procedure
and a surface complementarity based scoring function. This approach is
implemented in the software tool FlexAID. FlexAID utilizes a rotamer library to
create alternative conformations for a list of residues that are exhaustively
searched during the docking simulation. The performance of FlexAID in rigid
local as well as global simulations falls in the 70-80% range for both local
and global simulations.


title:
The boundary term from the Analytic Torsion of a cone over a
  $m$-dimensional sphere

abstract:
  We present a direct proof that the Anomaly Boundary term of J. Br\"unning and
X. Ma generalizes to the cases of the cone over a $m$-dimensional sphere.


title:
Sparse/Robust Estimation and Kalman Smoothing with Nonsmooth Log-Concave
  Densities: Modeling, Computation, and Theory

abstract:
  We introduce a class of quadratic support (QS) functions, many of which play
a crucial role in a variety of applications, including machine learning, robust
statistical inference, sparsity promotion, and Kalman smoothing. Well known
examples include the l2, Huber, l1 and Vapnik losses. We build on a dual
representation for QS functions using convex analysis, revealing the structure
necessary for a QS function to be interpreted as the negative log of a
probability density, and providing the foundation for statistical
interpretation and analysis of QS loss functions. For a subclass of QS
functions called piecewise linear quadratic (PLQ) penalties, we also develop
efficient numerical estimation schemes. These components form a flexible
statistical modeling framework for a variety of learning applications, together
with a toolbox of efficient numerical methods for inference. In particular, for
PLQ densities, interior point (IP) methods can be used. IP methods solve
nonsmooth optimization problems by working directly with smooth systems of
equations characterizing their optimality. The efficiency of the IP approach
depends on the structure of particular applications. We consider the class of
dynamic inverse problems using Kalman smoothing, where the aim is to
reconstruct the state of a dynamical system with known process and measurement
models starting from noisy output samples. In the classical case, Gaussian
errors are assumed in the process and measurement models. The extended
framework allows arbitrary PLQ densities to be used, and the proposed IP
approach solves the generalized Kalman smoothing problem while maintaining the
linear complexity in the size of the time series, just as in the Gaussian case.
This extends the computational efficiency of classic algorithms to a much
broader nonsmooth setting, and includes many recently proposed robust and
sparse smoothers as special cases.


title:
Edge usage, motifs and regulatory logic for cell cycling genetic
  networks

abstract:
  The cell cycle is a tightly controlled process, yet its underlying genetic
network shows marked differences across species. Which of the associated
structural features follow solely from the ability to impose the appropriate
gene expression patterns? We tackle this question in silico by examining the
ensemble of all regulatory networks which satisfy the constraint of producing a
given sequence of gene expressions. We focus on three cell cycle profiles
coming from baker's yeast, fission yeast and mammals. First, we show that the
networks in each of the ensembles use just a few interactions that are
repeatedly reused as building blocks. Second, we find an enrichment in network
motifs that is similar in the two yeast cell cycle systems investigated. These
motifs do not have autonomous functions, but nevertheless they reveal a
regulatory logic for cell cycling based on a feed-forward cascade of activating
interactions.


title:
Molecular Dynamics of Spin Crossover: the (P,T) phase diagram of
  [Fe(PM-BIA)2(NCS)2]

abstract:
  The spin crossover properties and the domains of existence of the different
phases for the [Fe(PM-BIA)2(NCS)2] complex are obtained from combining DFT and
classical molecular dynamics (MD). The potential energy surfaces expressed in
the Morse form for Fe-N interactions are deduced from molecular DFT
calculations and they allow producing Infra Red and Raman frequencies. These
Fe-N potentials inserted in a classical force field lead from MD calculations
to the relative energies of the high spin and low spin configurations of the
orthorhombic structure. The MD investigations have also allowed assessing the
experimental (P, T) phase diagram by showing the monoclinic polymorph in its
two spin- states, and generating two triple points.


title: A fully quantum model of Big Bang

abstract:
  In the paper the closed Friedmann-Robertson-Walker model with quantization in
the presence of the positive cosmological constant and radiation is studied.
For analysis of tunneling probability for birth of an asymptotically deSitter,
inflationary Universe as a function of the radiation energy a new definition of
a "free" wave propagating inside strong fields is proposed. On such a basis,
tunneling boundary condition is corrected, penetrability and reflection
concerning to the barrier are calculated in fully quantum stationary approach.
For the first time non-zero interference between the incident and reflected
waves has been taken into account which turns out to play important role inside
cosmological potentials and could be explained by non-locality of barriers in
quantum mechanics. Inside whole region of energy of radiation the tunneling
probability for the birth of the inflationary Universe is found to be close to
its value obtained in semiclassical approach. The reflection from the barrier
is determined for the first time (which is essentially differs on 1 at the
energy of radiation close to the barrier height). The proposed method could be
easily generalized on the cosmological models with the barriers of arbitrary
shape, that has been demonstrated for the FRW-model with included Chaplygin
gas. Result is stable for variations of the studied barriers, accuracy are
found to be 11--18 digits for all coefficients and energies below the barrier
height.


title:
Spontaneous Spacetime Reduction and Unitary Weak Boson Scattering at the
  LHC

abstract:
  Theories of quantum gravity predict spacetime dimensions to become reduced at
high energies, a striking phenomenon known as spontaneous dimensional reduction
(SDR). We construct an effective electroweak theory based on the standard model
(SM) and incorporate the TeV-scale SDR, which exhibits good high energy
behavior and ensures the unitarity of weak gauge boson scattering. This also
provides a natural solution to the hierarchy problem in the presence of scalar
Higgs boson. We demonstrate that this model predicts unitary longitudinal weak
boson scattering, and can be discriminated from the conventional 4d SM by the
WW scattering experiments at the CERN LHC.


title: Normal forms in Poisson geometry

abstract:
  This thesis studies normal forms for Poisson structures around symplectic
leaves using several techniques: geometric, formal and analytic ones. One of
the main results (Theorem 2) is a normal form theorem in Poisson geometry,
which is the Poisson-geometric version of the Local Reeb Stability (from
foliation theory) and of the Slice Theorem (from equivariant geometry). The
result generalizes Conn's theorem from fixed points to arbitrary symplectic
leaves. We present two proofs of this result: a geometric one relying heavily
on the theory of Lie algebroids and Lie groupoids (similar to the new proof of
Conn's theorem by Crainic and Fernandes), and an analytic one using the
Nash-Moser fast convergence method (more in the spirit of Conn's original
proof). The analytic approach gives much more, we prove a local rigidity result
(Theorem 4) around compact Poisson submanifolds, which is the first of this
kind in Poisson geometry. Theorem 4 has a surprising application to the study
of smooth deformation of Poisson structures: in Theorem 5 we compute the
Poisson-moduli space around the Lie-Poisson sphere (i.e. the invariant unit
sphere inside the linear Poisson manifold corresponding to a compact semisimple
Lie algebra). This is the first such computation of a Poisson moduli space in
dimension greater or equal to 3 around a degenerate (i.e. non-symplectic)
Poisson structure. Other results presented in the thesis are: a new proof to
the existence of symplectic realizations (Theorem 0), a normal form theorem for
symplectic foliations (Theorem 1), a formal normal form/rigidity result around
Poisson submanifolds (Theorem 3), and a general construction of tame homotopy
operators for Lie algebroid cohomology (the Tame Vanishing Lemma). We also
revisit Conn's theorem and a theorem of Hamilton on rigidity of foliations.


title:
Giant spin-polarized current in a Dirac fermion system at cyclotron
  resonance

abstract:
  We report on the observation of the giant spin-polarized photocurrent in
HgTe/HgCdTe quantum well (QW) of critical thickness at which a Dirac spectrum
emerges. Exciting QW of 6.6 nm width by terahertz (THz) radiation and sweeping
magnetic field we detected a resonant photocurrent. Remarkably, the position of
the resonance can be tuned from negative (-0.4 T) to positive (up to 1.2 T)
magnetic fields by means of optical gating. The photocurent data, accompanied
by measurements of radiation transmission as well as Shubnikov-de Haas and
quantum Hall effects, give an evidence that the enhancement of the photocurrent
is caused by cyclotron resonance in a Dirac fermion system. The developed
theory shows that the current is spin polarized and originates from the spin
dependent scattering of charge carriers heated by the radiation.


title:
Angular Momentum Transport by Acoustic Modes Generated in the Boundary
  Layer II: MHD Simulations

abstract:
  We perform global unstratified 3D magnetohydrodynamic simulations of an
astrophysical boundary layer (BL) -- an interface region between an accretion
disk and a weakly magnetized accreting object such as a white dwarf -- with the
goal of understanding the effects of magnetic field on the BL. We use
cylindrical coordinates with an isothermal equation of state and investigate a
number of initial field geometries including toroidal, vertical, and vertical
with zero net flux. Our initial setup consists of a Keplerian disk attached to
a non-rotating star. In a previous work, we found that in hydrodynamical
simulations, sound waves excited by shear in the BL were able to efficiently
transport angular momentum and drive mass accretion onto the star. Here we
confirm that in MHD simulations, waves serve as an efficient means of angular
momentum transport in the vicinity of the BL, despite the magnetorotational
instability (MRI) operating in the disk. In particular, the angular momentum
current due to waves is at times larger than the angular momentum current due
to MRI. Our results suggest that angular momentum transport in the BL and its
vicinity is a global phenomenon occurring through dissipation of waves and
shocks. This point of view is quite different from the standard picture of
transport by a local anomalous turbulent viscosity. In addition to angular
momentum transport, we also study magnetic field amplification within the BL.
We find that the field is indeed amplified in the BL, but only by a factor of a
few and remains subthermal.


title:
The Bishop-Phelps-Bollob\'as property for numerical radius in
  $\ell_1(\mathbb{C})$

abstract:
  We show that the set of bounded linear operators from $X$ to $X$ admits a
Bishop-Phelps-Bollob\'as type theorem for numerical radius whenever $X$ is
$\ell_1(\mathbb{C})$ or $c_0(\mathbb{C})$. As an essential tool we provide two
constructive versions of the classical Bishop-Phelps-Bollob\'as theorem for
$\ell_1(\mathbb{C})$.


title:
Potential energy curves for the interaction of Ag(5s) and Ag(5p) with
  noble gas atoms

abstract:
  We investigate the interaction of ground and excited states of a silver atom
with noble gases (NG), including helium. Born-Oppenheimer potential energy
curves are calculated with quantum chemistry methods and spin-orbit effects in
the excited states are included by assuming a spin-orbit splitting independent
of the internuclear distance. We compare our results with experimentally
available spectroscopic data, as well as with previous calculations. Because of
strong spin-orbit interactions, excited Ag-NG potential energy curves cannot be
fitted to Morse-like potentials. We find that the labeling of the observed
vibrational levels has to be shifted by one unit.


title: Gyrokinetic Studies of Microinstabilities in the RFP

abstract:
  An analytic equilibrium, the Toroidal Bessel Function Model, is used in
conjunction with the gyrokinetic code GYRO to investigate the nature of
microinstabilities in a reversed field pinch (RFP) plasma. The effect of the
normalized electron plasma pressure ({\beta}) on the characteristics of the
microinstabilities is studied. A transition between an ion temperature gradient
(ITG) driven mode and a microtearing mode as the dominant instability is found
to occur at a {\beta} value of approximately 4.5%. Suppression of the ITG mode
occurs as in the tokamak, through coupling to shear Alfven waves, with a
critical {\beta} for stability higher than its tokamak equivalent due to a
shorter parallel connection length. There is a steep dependence of the
microtearing growth rate on temperature gradient suggesting high profile
stiffness. There is evidence for a collisionless microtearing mode. The
properties of this mode are investigated, and it is found that curvature drift
plays an important role in the instability.


title: Counting muons to probe the neutrino mass spectrum

abstract:
  The experimental evidence that \theta_{13} is large opens new opportunities
to identify the neutrino mass spectrum. We outline a possibility to investigate
this issue by means of conventional technology. The ideal setup turns out to be
long baseline experiment: the muon neutrino beam, with 10^{20} protons on
target, has an average energy of 6 (8) GeV; the neutrinos, after propagating
6000 (8000) km, are observed by a muon detector of 1 Mton and with a muon
energy threshold of 2 GeV. The expected number of muon events is about 1000,
and the difference between the two neutrino spectra is sizeable, about 30%.
This allows the identification of the mass spectrum just counting muon tracks.
The signal events are well characterized experimentally by their time and
direction of arrival, and 2/3 of them are in a region with little atmospheric
neutrino background, namely, between 4 GeV and 10 GeV. The distances from CERN
to Baikal Lake and from Fermilab to KM3NET, or ANTARES, fit in the ideal range.


title: An Extended Reich Fixed Point Theorem

abstract:
  We obtain an extended Reich fixed point theorem for the setting of
generalized cone rectangular metric spaces without assuming the normality of
the underlying cone. Our work is a generalization of the main result in
\cite{AAB} and \cite{JS}.


title: Sets of integers with no large sum-free subset

abstract:
  Answering a question of P. Erdos from 1965, we show that for every eps>0
there is a set A of n integers with the following property: every subset A' of
A with at least (1/3 + eps)n elements contains three distinct elements x,y,z
with x + y = z.


title: Scattering distributions in the presence of measurement backaction

abstract:
  Scattering probe particles from a quantum system can provide experimental
access to information about the system's state. However, measurement backaction
and momentum transfer during scattering changes the state of the system,
potentially destroying the state of the system we wish to probe. Here we
investigate how to probe the system's initial state even in the presence of
backaction and momentum transfer. We show that summing the scattering
distributions of an ensemble of measurements reveals the initial state
scattering pattern even when each of the individual measurements completely
destroys the initial state. This procedure is effective provided the scattering
takes place on a timescale that is short compared with the free evolution of
the system.


title:
Electron neutrino and antineutrino appearance in the full MINOS data
  sample

abstract:
  We report on $\nu_e$ and $\bar{\nu}_e$ appearance in $\nu_\mu$ and
$\bar{\nu}_\mu$ beams using the full MINOS data sample. The comparison of these
$\nu_e$ and $\bar{\nu}_e$ appearance data at a 735 km baseline with
$\theta_{13}$ measurements by reactor experiments probes $\delta$, the
$\theta_{23}$ octant degeneracy, and the mass hierarchy. This analysis is the
first use of this technique and includes the first accelerator long-baseline
search for $\bar{\nu}_\mu\rightarrow\bar{\nu}_e$. Our data disfavor 31% (5%) of
the three-parameter space defined by $\delta$, the octant of the $\theta_{23}$,
and the mass hierarchy at the 68% (90%) C.L. We measure a value of
2sin$^2(2\theta_{13})$sin$^2(\theta_{23})$ that is consistent with reactor
experiments.


title:
Nonlinear dynamics analysis of a membrane Stirling engine: Starting and
  stable operation

abstract:
  This paper presents the work devoted to the study of the operation of a
miniaturized membrane Stirling engine. Indeed, such an engine relies on the
dynamic coupling of the motion of two membranes to achieve a prime mover
Stirling thermodynamic cycle. The modelling of the system introduces the large
vibration amplitudes of the membrane as well as the nonlinear dissipative
effects associated to the fluid flow within the engine. The nonlinearities are
expressed as polynomial functions with quadratic and cubic terms. This paper
displays the stability analysis to predict the starting of the engine and the
instability problem which leads to the steady state behaviour. The centre
manifold - normal form theory is used to obtain the simplest expression for the
limit cycle amplitudes. The approach allows the reduction of the number of
equations of the original system in order to obtain a simplified system,
without loosing the dynamics of the original system as well as the
contributions of non-linear terms. The model intends to be used as a semi
analytical design tool for the optimization of miniaturized Stirling machines
from the starting to the steady operation.


title: Distinguishing partitions of complete multipartite graphs

abstract:
  A \textit{distinguishing partition} of a group $X$ with automorphism group
${aut}(X)$ is a partition of $X$ that is fixed by no nontrivial element of
${aut}(X)$. In the event that $X$ is a complete multipartite graph with its
automorphism group, the existence of a distinguishing partition is equivalent
to the existence of an asymmetric hypergraph with prescribed edge sizes. An
asymptotic result is proven on the existence of a distinguishing partition when
$X$ is a complete multipartite graph with $m_1$ parts of size $n_1$ and $m_2$
parts of size $n_2$ for small $n_1$, $m_2$ and large $m_1$, $n_2$. A key tool
in making the estimate is counting the number of trees of particular classes.


title: Analytical model for Stirling cycle machine design

abstract:
  In order to study further the promising free piston Stirling engine
architecture, there is a need of an analytical thermodynamic model which could
be used in a dynamical analysis for preliminary design. To aim at more
realistic values, the models have to take into account the heat losses and
irreversibilities on the engine. An analytical model which encompasses the
critical flaws of the regenerator and furthermore the heat exchangers
effectivenesses has been developed. This model has been validated using the
whole range of the experimental data available from the General Motor GPU-3
Stirling engine prototype. The effects of the technological and operating
parameters on Stirling engine performance have been investigated. In addition
to the regenerator influence, the effect of the cooler effectiveness is
underlined.


title: Crossed Products and MF algebras

abstract:
  We prove that the crossed product AxG of a unital finitely generated MF
algebra A by a discrete finitely generated amenable residually finite group G
is an MF algebra, provided that the action is almost periodic. This generalizes
a result of Hadwin and Shen. We also construct two examples of crossed product
C*-algebras whose BDF Ext semigroups are not groups.


title:
Fine Structure of Open Shell Diatomic Molecules in Combined Electric and
  Magnetic Fields

abstract:
  We present a theoretical study of the impact of an electric field combined
with a magnetic field on the rotational dynamics of open shell diatomic
molecules. Within the rigid rotor approximation, we solve the time-independent
Schr\"odinger equation including the fine-structure interactions and the
\Lambda-doubling effects. We consider three sets of molecule specific
parameters and several field regimes and investigate the interplay between the
different interactions identifying the dominant one. The possibility of
inducing couplings between the spin and rotational degrees of freedom is
demonstrated.


title: Consensus Networks over Finite Fields

abstract:
  This work studies consensus strategies for networks of agents with limited
memory, computation, and communication capabilities. We assume that agents can
process only values from a finite alphabet, and we adopt the framework of
finite fields, where the alphabet consists of the integers {0,...,p-1}, for
some prime number p, and operations are performed modulo p. Thus, we define a
new class of consensus dynamics, which can be exploited in certain applications
such as pose estimation in capacity and memory constrained sensor networks. For
consensus networks over finite fields, we provide necessary and sufficient
conditions on the network topology and weights to ensure convergence. We show
that consensus networks over finite fields converge in finite time, a feature
that can be hardly achieved over the field of real numbers. For the design of
finite-field consensus networks, we propose a general design method, with high
computational complexity, and a network composition rule to generate large
consensus networks from smaller components. Finally, we discuss the application
of finite-field consensus networks to distributed averaging and pose estimation
in sensor networks.


title:
Coupled thermodynamic-dynamic semi-analytical model of Free Piston
  Stirling engines

abstract:
  The study of free piston Stirling engine (FPSE) requires both accurate
thermodynamic and dynamic modelling to predict its performances. The steady
state behaviour of the engine partly relies on non linear dissipative phenomena
such as pressure drop loss within heat exchangers which is dependant on the
temperature within the associated components. An analytical thermodynamic model
which encompasses the effectiveness and the flaws of the heat exchangers and
the regenerator has been previously developed and validated. A semi-analytical
dynamic model of FPSE is developed and presented in this paper. The
thermodynamic model is used to define the thermal variables that are used in
the dynamic model which evaluates the kinematic results. Thus, a coupled
iterative strategy has been used to perform a global simulation. The global
modelling approach has been validated using the experimental data available
from the NASA RE-1000 Stirling engine prototype. The resulting coupled
thermodynamic-dynamic model using a standardized description of the engine
allows efficient and realistic preliminary design of FPSE.


title:
Development of low frequencies, insulating thick diaphragms for power
  MEMS applications

abstract:
  Major challenges of micro thermal machines are the thermal insulation and
mechanical tolerance in the case of sliding piston. Switching from piston to
membrane in microengines can alleviate the latest and lead to planar
architectures. However, the thermal isolation would call for very thick
structures which are associated to too high resonant frequencies which are
detrimental to the engine performances. A thermal and mechanical compromise is
to be made. On the contrary, based on fluid structure interaction, using an
incompressible fluid contained in a cavity sealed by deformable diaphragm it
would be possible to design a thick, low frequency insulating diaphragm. The
design involves a simple planar geometry that is easy to manufacture with
standard microelectronics methods. An analytical fluid structure model is
proposed and theoretically validated. Experimental structures are realized and
tested. The model is in agreement with the experimental results. A
dimensionless model is proposed to design hybrid fluid structures for
micromachines.


title: Computing Hypermatrix Spectra with the Poisson Product Formula

abstract:
  We compute the spectrum of the "all ones" hypermatrix using the Poisson
product formula. This computation includes a complete description of the
eigenvalues' multiplicities, a seemingly elusive aspect of the spectral theory
of tensors. We also give a general distributional picture of the spectrum as a
point-set in the complex plane, and use our techniques to analyze the spectrum
of "sunflower hypergraphs", a class that has played a prominent role in
extremal hypergraph theory.


title: Determining equations of families of cyclic curves

abstract:
  In previous work we determined automorphism groups of cyclic algebraic curves
defined over fields of any odd characteristic. In this paper we determine
parametric equations of families of curves for each automorphism group for such
curves.


title:
Electronic signature of the instantaneous asymmetry in the first
  coordination shell of liquid water

abstract:
  Interpretation of the X-ray spectra of water as evidence for its asymmetric
structure has challenged the conventional symmetric nearly-tetrahedral model
and initiated an intense debate about the order and symmetry of the hydrogen
bond network in water. Here, we present new insights into the nature of local
interactions in water obtained using a novel energy decomposition method. Our
simulations reveal that while a water molecule forms, on average, two strong
donor and two strong acceptor bonds, there is a significant asymmetry in the
energy of these contacts. We demonstrate that this asymmetry is a result of
small instantaneous distortions of hydrogen bonds, which appear as fluctuations
on a timescale of hundreds of femtoseconds around the average symmetric
structure. Furthermore, we show that the distinct features of the X-ray
absorption spectra originate from molecules with high instantaneous asymmetry.
Our findings have important implications as they help reconcile the symmetric
and asymmetric views on the structure of water.

categories: physics.chem-ph cond-mat.other cond-mat.soft cond-mat.stat-mech physics.comp-ph


title:
Automorphism groups of cyclic curves defined over finite fields of any
  characteristics

abstract:
  In this paper we determine automorphism groups of cyclic algebraic curves
defined over finite fields of any characteristic.


title:
The fields of definition of branched Galois covers of the projective
  line

abstract:
  In this paper I explore the structure of the fields of definition of Galois
branched covers of the projective line over \bar Q. The first main result
states that every mere cover model has a unique minimal field of definition
where its automorphisms are defined, and goes on to describe special properties
of this field. One corollary of this result is that for every G-Galois branched
cover there is a field of definition which is Galois over its field of moduli,
with Galois group a subgroup of Aut(G). The second main theorem states that the
field resulting by adjoining to the field of moduli all of the roots of unity
whose order divides some power of |Z(G)| is a field of definition. By combining
this result with results from an earlier paper, I prove corollaries related to
the Inverse Galois Problem. For example, it allows me to prove that for every
finite group G, there is an extension of number fields Q \subset E \subset F
such that F/E is G-Galois, and E/Q ramifies only over those primes that divide
|G|. I.e., G is realizable over a field that is "close" to Q.


title: Thetanulls of cyclic curves of small genus

abstract:
  We study relations among the classical thetanulls of cyclic curves, namely
curves $\mathcal X$ (of genus $g(\mathcal X)>1$) with an automorphism $\sigma$
such that $\sigma$ generates a normal subgroup of the group $G$ of
automorphisms, and $g (\mathcal X/ < \sigma>) =0$. Relations between thetanulls
and branch points of the projection are the object of much classical work,
especially for hyperelliptic curves, and of recent work, in the cyclic case. We
determine the curves of genus 2 and 3 in the locus $\mathcal M_g (G,
\textbf{C})$ for all $G$ that have a normal subgroup $<\s>$ as above, and all
possible signatures \textbf{C}, via relations among their thetanulls.


title: Degree 4 coverings of elliptic curves by genus 2 curves

abstract:
  Genus two curves covering elliptic curves have been the object of study of
many articles. For a fixed degree $n$ the subloci of the moduli space $\mathcal
M_2$ of curves having a degree $n$ elliptic subcover has been computed for
$n=3, 5$ and discussed in detail for $n$ odd; see \cite{Sh1, SV2, Fr, FK}. When
the degree of the cover is even the case in general has been treated in
\cite{PRS}. In this paper we compute the sublocus of $\mathcal M_2$ of curves
having a degree 4 elliptic subcover.


title: Counting publications and citations: Is more always better?

abstract:
  Is more always better? We address this question in the context of
bibliometric indices that aim to assess the scientific impact of individual
researchers by counting their number of highly cited publications. We propose a
simple model in which the number of citations of a publication depends not only
on the scientific impact of the publication but also on other 'random' factors.
Our model indicates that more need not always be better. It turns out that the
most influential researchers may have a systematically lower performance, in
terms of highly cited publications, than some of their less influential
colleagues. The model also suggests an improved way of counting highly cited
publications.


title: New program with new approach for spectral data analysis

abstract:
  This article presents a high-throughput computer program, called EasyDD, for
batch processing, analyzing and visualizing of spectral data; particularly
those related to the new generation of synchrotron detectors and X-ray powder
diffraction applications. This computing tool is designed for the treatment of
large volumes of data in reasonable time with affordable computational
resources. A case study in which this program was used to process and analyze
powder diffraction data obtained from the ESRF synchrotron on an alumina-based
nickel nanoparticle catalysis system is also presented for demonstration. The
development of this computing tool, with the associated protocols, is inspired
by a novel approach in spectral data analysis.


title:
Commentary on Robert Riley's article "A personal account of the
  discovery of hyperbolic structures on some knot complements"

abstract:
  We give some background and biographical commentary on the postumous article
that appears in this [journal issue | ArXiv] by Robert Riley on his part of the
early history of hyperbolic structures on some compact 3-manifolds. A complete
list of Riley's publications appears at the end of the article.


title:
Requirements Management for Service Providers: the Case of Services for
  Citizens

abstract:
  Take the Internet of Things, a piece of cloud computing, a handful of smart
cities, don't forget social platforms, flavour it with mobile technologies and
ever-changing environments, shake it up and... voila! What a wonderful service!
Oops! Wait a minute, where did my requirements go?


title:
A personal account of the discovery of hyperbolic structures on some
  knot complements

abstract:
  I give my view of the early history of the discovery of hyperbolic structures
on knot complements from my early work on representations of knot groups into
matrix groups to my meeting with William Thurston in 1976. (This article was
written by Robert Riley about ten years before his death in 2000 and never
submitted for publication. An explanation of why it is being published now and
some information about Riley and this article is given in the article by Brin,
Jones and Singerman which accompanies this article in this issue of the
[journal | arxiv].)


title:
On the Uniqueness of the Canonical Polyadic Decomposition of third-order
  tensors --- Part I: Basic Results and Uniqueness of One Factor Matrix

abstract:
  Canonical Polyadic Decomposition (CPD) of a higher-order tensor is
decomposition in a minimal number of rank-1 tensors. We give an overview of
existing results concerning uniqueness. We present new, relaxed, conditions
that guarantee uniqueness of one factor matrix. These conditions involve
Khatri-Rao products of compound matrices. We make links with existing results
involving ranks and k-ranks of factor matrices. We give a shorter proof, based
on properties of second compound matrices, of existing results concerning
overall CPD uniqueness in the case where one factor matrix has full column
rank. We develop basic material involving $m$-th compound matrices that will be
instrumental in Part II for establishing overall CPD uniqueness in cases where
none of the factor matrices has full column rank.


title:
On the Uniqueness of the Canonical Polyadic Decomposition of third-order
  tensors --- Part II: Uniqueness of the overall decomposition

abstract:
  Canonical Polyadic (also known as Candecomp/Parafac) Decomposition (CPD) of a
higher-order tensor is decomposition in a minimal number of rank-1 tensors. In
Part I, we gave an overview of existing results concerning uniqueness and
presented new, relaxed, conditions that guarantee uniqueness of one factor
matrix. In Part II we use these results for establishing overall CPD uniqueness
in cases where none of the factor matrices has full column rank. We obtain
uniqueness conditions involving Khatri-Rao products of compound matrices and
Kruskal-type conditions.


title:
Proceedings of the Twenty-Eighth Conference on Uncertainty in Artificial
  Intelligence (2012)

abstract:
  This is the Proceedings of the Twenty-Eighth Conference on Uncertainty in
Artificial Intelligence, which was held on Catalina Island, CA August 14-18
2012.


title: On an Extension Problem for Density Matrices

abstract:
  We investigate the problem of the existence of a density matrix rho on the
product of three Hilbert spaces with given marginals on the pair (1,2) and the
pair (2,3). While we do not solve this problem completely we offer partial
results in the form of some necessary and some sufficient conditions on the two
marginals. The quantum case differs markedly from the classical (commutative)
case, where the obvious necessary compatibility condition suffices, namely,
trace_1 (rho_{12}) = \trace_3 (rho_{23}).


title:
Proceedings of the Nineteenth Conference on Uncertainty in Artificial
  Intelligence (2003)

abstract:
  This is the Proceedings of the Nineteenth Conference on Uncertainty in
Artificial Intelligence, which was held in Acapulco, Mexico, August 7-10 2003


title:
Proceedings of the Seventeenth Conference on Uncertainty in Artificial
  Intelligence (2001)

abstract:
  This is the Proceedings of the Seventeenth Conference on Uncertainty in
Artificial Intelligence, which was held in Seattle, WA, August 2-5 2001


title:
Proceedings of the Eighteenth Conference on Uncertainty in Artificial
  Intelligence (2002)

abstract:
  This is the Proceedings of the Eighteenth Conference on Uncertainty in
Artificial Intelligence, which was held in Alberta, Canada, August 1-4 2002


title: Two-valued sigma-maxitive measures and Mesiar's hypothesis

abstract:
  We reformulate Mesiar's hypothesis [Possibility measures, integration and
fuzzy possibility measures, Fuzzy Sets and Systems 92 (1997) 191-196], which as
such was shown to be untrue by Murofushi [Two-valued possibility measures
induced by $\sigma$-finite $\sigma$-additive measures, Fuzzy Sets and Systems
126 (2002) 265-268]. We prove that a two-valued $\sigma$-maxitive measure can
be induced by a $\sigma$-additive measure under the additional condition that
it is $\sigma$-principal.


title: On the Weyl-Titchmarsh and Liv\v{s}ic functions

abstract:
  We establish a mutual relationship between main analytic objects for the
dissipative extension theory of a symmetric operator $\dot A$ with deficiency
indices $(1,1)$. In particular, we introduce the Weyl-Titchmarsh function $\cM$
of a maximal dissipative extension $\hat A$ of the symmetric operator $\dot A$.
Given a reference self-adjoint extension $A$ of $\dot A$, we introduce a von
Neumann parameter $\kappa$, $|\kappa|<1$, characterizing the domain of the
dissipative extension $\hat A$ against $\Dom (A)$ and show that the pair
$(\kappa, \cM)$ is a complete unitary invariant of the triple $(\dot A, A, \hat
A)$, unless $\kappa=0$. As a by-product of our considerations we obtain a
relevant functional model for a dissipative operator and get an analog of the
formula of Krein for its resolvent.


title:
A one-parameter formula for testing slow-roll dark energy: observational
  prospects

abstract:
  Numerous upcoming observations, such as WFIRST, BOSS, BigBOSS, LSST, Euclid,
and Planck, will constrain dark energy (DE)'s equation of state with great
precision. They may well find the ratio of pressure to energy density, $w$, is
-1, meaning DE is equivalent to a cosmological constant. However, many
time-varying DE models have also been proposed. A single parametrization to
test a broad class of them and that is itself motivated by a physical picture
is therefore desirable. We suggest the simplest model of DE has the same
mechanism as inflation, likely a scalar field slowly rolling down its
potential. If this is so, DE will have a generic equation of state and the
Universe will have a generic dependence of the Hubble constant on redshift
independent of the potential's starting value and shape. This equation of state
and expression for the Hubble constant offer the desired model-independent but
physically motivated parametrization, because they will hold for most of the
standard scalar-field models of DE such as quintessence and phantom DE. Up
until now two-parameter descriptions of $w$ have been available, but this work
finds an additional approximation that leads to a single-parameter model. Using
it, we conduct a $\chi^2$ analysis and find that experiments in the next seven
years should be able to distinguish any of these time-varying DE models on the
one hand from a cosmological constant on the other to 73% confidence if $w$
today differs from -1 by 3.5%. In the limit of perfectly accurate measurements
of $\Omega_m$ and $H_0$, this confidence would rise to 96%. We also include
discussion of the current status of DE experiment, a table compiling the
techniques each will use, and tables of the precisions of the experiments for
which this information was available at the time of publication.


title: Quantum Computing: a Quantum Group Approach

abstract:
  There is compelling theoretical evidence that quantum physics will change the
face of information science. Exciting progress has been made during the last
two decades towards the building of a large scale quantum computer. A quantum
group approach stands out as a promising route to this holy grail, and provides
hope that we may have quantum computers in our future.


title:
Idempotent biquadratics, Yang-Baxter maps and birational representations
  of Coxeter groups

abstract:
  A transformation is obtained which completes the unification of
quadrirational Yang-Baxter maps and known integrable multi-quadratic quad
equations. By combining theory from these two classes of quad-graph models we
find an extension of the known integrability feature, and show how this leads
subsequently to a natural extension of the associated lattice geometry. The
extended lattice is encoded in a birational representation of a particular
sequence of Coxeter groups. In this setting the usual quad-graph is associated
with a subgroup of type BC_n, and is part of a larger and more symmetric
ambient space. The model also defines, for instance, integrable dynamics on a
triangle-graph associated with a subgroup of type A_n, as well as finite
degree-of-freedom dynamics, in the simplest cases associated with affine-E6 and
affine-E8 subgroups. Underlying this structure is a class of biquadratic
polynomials, that we call idempotent, which express the trisection of elliptic
function periods algebraically via the addition law.


title: Ambiguous volatility and asset pricing in continuous time

abstract:
  This paper formulates a model of utility for a continuous time framework that
captures the decision-maker's concern with ambiguity about both volatility and
drift. Corresponding extensions of some basic results in asset pricing theory
are presented. First, we derive arbitrage-free pricing rules based on hedging
arguments. Ambiguous volatility implies market incompleteness that rules out
perfect hedging. Consequently, hedging arguments determine prices only up to
intervals. However, sharper predictions can be obtained by assuming preference
maximization and equilibrium. Thus we apply the model of utility to a
representative agent endowment economy to study equilibrium asset returns. A
version of the C-CAPM is derived and the effects of ambiguous volatility are
described.


title: Summary of CP Violation in D -> hh Decays at Belle

abstract:
  Although CP violation is predicted to be small in the Standard Model, there
exists a continuing theoretical interest within the charm sector due to
enhancements of CPV through new physics processes. We present an overview of
the measurements of direct CP violation in the charm sector at Belle. We give a
brief review of the theory of CP violation in charm physics, then discuss
recent measurements for the decay modes $D^{+}_{(s)}\rightarrow \phi\pi^{+}$;
$D^{0}\rightarrow K^{0}_{S}\pi^{0}, K^{0}_{S}\eta^{(\prime)}$;
$D^{+}\rightarrow \pi^{+}\eta^{(\prime)}$; and $D^{+}\rightarrow
K^{0}_{S}\pi^{+}$.


title: Global Mackey functors with operations and n-special lambda rings

abstract:
  Systematically using the language of groupoids, we survey the theory of
global Mackey functors, global Green functors and global power functors. Given
a global power functor, we study rings with similar operations. The example of
n-class functions leads to the notion of an n-special lambda ring.


title:
Three Parameters for the Horizontal-Branch Morphology in Globular
  Clusters

abstract:
  The horizontal branch (HB) morphology of globular clusters (GCs) is mainly
described by metallicity. The fact that some clusters with almost the same
metallicity exhibit different HB demonstrates that other parameters are at
work. We present results from the analysis of the CMD of 72 GCs obtained with
the Advanced Camera for Survey (ACS) of the Hubble Space Telescope (HST). We
find a significant correlation between the HB color extension and the mass of
the hosting cluster, while the color distance between the HB and the red-giant
branch (RGB) depends on metallicity and age. We suggest that age and
metallicity are the main global parameters of the HB morphology in GCs, while
the HB extension is mainly due to internal helium variation, associated to
multiple stellar populations.


title:
Ultra-high energy collision with neither black hole nor naked
  singularity

abstract:
  We explore the collision between two concentric spherical thin shells. The
inner shell is charged, whereas the outer one is either neutral or charged. In
the situation we consider, the charge of the inner shell is larger than its
gravitational mass, and the inside of it is empty and regular. Hence the domain
just outside it is described by the overcharged Reissner-Nordstrom geometry
whereas the inside of it is Minkowski. First, the inner shell starts to shrink
form infinity with finite kinetic energy, and then the outer shell starts to
shrink from infinity with vanishing kinetic energy. The inner shell bounces on
the potential wall and collides with the ingoing outer shell. The energy of
collision between these shells at "their center of mass frame" does not exceed
the total energy of the system. By contrast, by virtue of the very large gamma
factor of the relative velocity of the shells, the energy of collision between
two of the constituent particles of these shells at their center of mass frame
can be much larger than the Planck scale. This result suggests that the black
hole or naked singularity is not necessary for ultra-high energy collision of
particles.


title:
Impurity probe of topological superfluid in one-dimensional spin-orbit
  coupled atomic Fermi gases

abstract:
  We investigate theoretically non-magnetic impurity scattering in a
one-dimensional atomic topological superfluid in harmonic traps, by solving
self-consistently the microscopic Bogoliubov-de Gennes equation. In sharp
contrast to topologically trivial Bardeen-Cooper-Schrieffer \textit{s}-wave
superfluid, topological superfluid can host a mid-gap state that is bound to
localized non-magnetic impurity. For strong impurity scattering, the bound
state becomes universal, with nearly zero energy and a wave-function that
closely follows the symmetry of that of Majorana fermions. We propose that the
observation of such a universal bound state could be a useful evidence for
characterizing the topolgoical nature of topological superfluids. Our
prediction is applicable to an ultracold resonantly-interacting Fermi gas of
$^{40}$K atoms with spin-orbit coupling confined in a two-dimensional optical
lattice.


title: Update-Efficient Error-Correcting Product-Matrix Codes

abstract:
  Regenerating codes provide an efficient way to recover data at failed nodes
in distributed storage systems. It has been shown that regenerating codes can
be designed to minimize the per-node storage (called MSR) or minimize the
communication overhead for regeneration (called MBR). In this work, we propose
new encoding schemes for $[n,d]$ error-correcting MSR and MBR codes that
generalize our earlier work on error-correcting regenerating codes. We show
that by choosing a suitable diagonal matrix, any generator matrix of the
$[n,\alpha]$ Reed-Solomon (RS) code can be integrated into the encoding matrix.
Hence, MSR codes with the least update complexity can be found. By using the
coefficients of generator polynomials of $[n,k]$ and $[n,d]$ RS codes, we
present a least-update-complexity encoding scheme for MBR codes. A decoding
scheme is proposed that utilizes the $[n,\alpha]$ RS code to perform data
reconstruction for MSR codes. The proposed decoding scheme has better error
correction capability and incurs the least number of node accesses when errors
are present. A new decoding scheme is also proposed for MBR codes that can
correct more error-patterns.


title:
Investigating the Core Morphology-Seyfert Class relationship with Hubble
  Space Telescope Archival Images of local Seyfert galaxies

abstract:
  The Unified Model of Active Galactic Nuclei (AGN) has provided a successful
explanation for the observed diversity of AGN in the local Universe. However,
recent analysis of multi-wavelength spectral and image data suggests that the
Unified Model is only a partial theory of AGN, and may need to be augmented to
remain consistent with all observations. Recent studies using high spatial
resolution ground- and space-based observations of local AGN show that Seyfert
class and the "core" (r<~1 kpc) host-galaxy morphology are correlated.
Currently, this relationship has only been established qualitatively, by visual
inspection of the core morphologies of low redshift (z<0.035) Seyfert host
galaxies (Malkan et al. 1998). We re-establish this empirical relationship in
Hubble Space Telescope (HST) optical imaging by visual inspection of a catalog
of 85 local (D<63 Mpc) Seyfert galaxies. We also attempt to re-establish the
core morphology-Seyfert class relationship using an automated, non-parametric
technique that combines both existing classification parameters methods (the
adapted CAS, G-M20), and a new method which implements the Source Extractor
software for feature detection in unsharp-mask images. This new method is
designed explicitly to detect dust features in the images. We use our automated
approach to classify the morphology of the AGN cores and determine that Sy2
galaxies visually appear, on average, to have more dust features than Sy1. With
the exception of this "dustiness" however, we do not measure a strong
correlation between the dust morphology and the Seyfert class of the host
galaxy using quantitative techniques. We discuss the implications of these
results in the context of the Unified Model.


title: Lattice QCD Methods for Hadronic Polarizabilities

abstract:
  Chiral dynamics makes definitive predictions for the electromagnetic
polarizabilities of hadrons near the chiral limit; but, agreement with
experiment is tenuous in some cases. We provide an overview of lattice QCD
methods to compute the electric and magnetic polarizabilities of hadrons.
Central to these methods is the lattice simulation of quarks in uniform,
classical electromagnetic fields. A long-term goal is the determination of
polarizabilities directly from lattice computations, however, in the near term,
one may need to rely on partially quenched chiral perturbation theory.
Nonetheless the same striking predictions for the pion mass dependence of
electric and magnetic polarizabilities can be made from chiral dynamics, and
tested with lattice QCD. A particular focus is a novel new method to handle
charged particle correlation functions in magnetic fields.


title:
On extremal graphs with exactly one Steiner tree connecting any $k$
  vertices

abstract:
  The problem of determining the largest number $f(n;\bar{\kappa}\leq \ell)$ of
edges for graphs with $n$ vertices and maximal local connectivity at most
$\ell$ was considered by Bollob\'{a}s. Li et al. studied the largest number
$f(n;\bar{\kappa}_3\leq2)$ of edges for graphs with $n$ vertices and at most
two internally disjoint Steiner trees connecting any three vertices. In this
paper, we further study the largest number $f(n;\bar{\kappa}_k=1)$ of edges for
graphs with $n$ vertices and exactly one Steiner tree connecting any $k$
vertices with $k\geq 3$. It turns out that this is not an easy task to finish,
not like the same problem for the classical connectivity parameter. We
determine the exact values of $f(n;\bar{\kappa}_k=1)$ for $k=3,4,n$,
respectively, and characterize the graphs which attain each of these values.


title: Strongly Pseudoradial Spaces

abstract:
  The "weakly Hausdorff" property for pseudoradial spaces fails to be naturally
characterized by unique convergence of transfinite sequences. In response, we
develop the category $\mathbf{SPsRad}$ of strongly pseudoradial spaces,
compactly generated spaces whose closed sets are determined by globally
continuous maps from well-ordered spaces. Categorically, $\mathbf{SPsRad}$ is
the coreflective hull of the class of well-ordered spaces, and
$\mathbf{SPsRad}$ is Cartesian closed. The strongly pseudoradial weakly
Hausdorff spaces admit a natural characterization involving unique extensions
of injective maps of well-ordered spaces. We also obtain analogs in
$\mathbf{SPsRad}$ of the fact that for sequential spaces, sequential
compactness is equivalent to countable compactness.


title:
Two-Way Training for Discriminatory Channel Estimation in Wireless MIMO
  Systems

abstract:
  This work examines the use of two-way training to efficiently discriminate
the channel estimation performances at a legitimate receiver (LR) and an
unauthorized receiver (UR) in a multiple-input multiple-output (MIMO) wireless
system. This work improves upon the original discriminatory channel estimation
(DCE) scheme proposed by Chang et al where multiple stages of feedback and
retraining were used. While most studies on physical layer secrecy are under
the information-theoretic framework and focus directly on the data transmission
phase, studies on DCE focus on the training phase and aim to provide a
practical signal processing technique to discriminate between the channel
estimation performances at LR and UR. A key feature of DCE designs is the
insertion of artificial noise (AN) in the training signal to degrade the
channel estimation performance at UR. To do so, AN must be placed in a
carefully chosen subspace based on the transmitter's knowledge of LR's channel
in order to minimize its effect on LR. In this paper, we adopt the idea of
two-way training that allows both the transmitter and LR to send training
signals to facilitate channel estimation at both ends. Both reciprocal and
non-reciprocal channels are considered and a two-way DCE scheme is proposed for
each scenario. {For mathematical tractability, we assume that all terminals
employ the linear minimum mean square error criterion for channel estimation.
Based on the mean square error (MSE) of the channel estimates at all
terminals,} we formulate and solve an optimization problem where the optimal
power allocation between the training signal and AN is found by minimizing the
MSE of LR's channel estimate subject to a constraint on the MSE achievable at
UR. Numerical results show that the proposed DCE schemes can effectively
discriminate between the channel estimation and hence the data detection
performances at LR and UR.


title: Infinite product representations for kernels and iterations of functions

abstract:
  We study infinite products of reproducing kernels with view to their use in
dynamics (of iterated function systems), in harmonic analysis, and in
stochastic processes. On the way, we construct a new family of representations
of the Cuntz relations. Then, using these representations we associate a fixed
filled Julia set with a Hilbert space. This is based on analysis and conformal
geometry of a fixed rational mapping $R$ in one complex variable, and its
iterations.


title: Gaussian estimates for Schroedinger perturbations

abstract:
  We prove an optimal 4G Theorem for the Gaussian kernel. We also propose a new
general method of estimating Schroedinger perturbations of transition
densities, and give applications to the Gaussian kernel.


title:
Intrinsic posterior regret gamma-minimax estimation for the exponential
  family of distributions

abstract:
  In practice, it is desired to have estimates that are invariant under
reparameterization. The invariance property of the estimators helps to
formulate a unified solution to the underlying estimation problem. In robust
Bayesian analysis, a frequent criticism is that the optimal estimators are not
invariant under smooth reparameterizations. This paper considers the problem of
posterior regret gamma-minimax (PRGM) estimation of the natural parameter of
the exponential family of distributions under intrinsic loss functions. We show
that under the class of Jeffrey's Conjugate Prior (JCP) distributions, PRGM
estimators are invariant to smooth one-to-one reparameterizations. We apply our
results to several distributions and different classes of JCP, as well as the
usual conjugate prior distributions. We observe that, in many cases, invariant
PRGM estimators in the class of JCP distributions can be obtained by some
modifications of PRGM estimators in the usual class of conjugate priors.
  Moreover, when the class of priors are convex or dependant on a
hyper-parameter belonging to a connected set, we show that the PRGM estimator
under the intrinsic loss function could be Bayes with respect to a prior
distribution in the original prior class. Theoretical results are supplemented
with several examples and illustrations.


title: Residual properties of groups defined by basic commutators

abstract:
  In this paper we study the residual nilpotence of groups defined by basic
commutators. We prove that the so-called Hydra groups as well as certain of
their generalizations and quotients are, in the main, residually torsion-free
nilpotent. By way of contrast we give an example of a group defined by two
basic commutators which is not residually torsion-free nilpotent.


title:
The vanishing ideal of a finite set of points with multiplicity
  structures

abstract:
  Given a finite set of arbitrarily distributed points in affine space with
arbitrary multiplicity structures, we present an algorithm to compute the
reduced Groebner basis of the vanishing ideal under the lexicographic ordering.
Our method discloses the essential geometric connection between the relative
position of the points with multiplicity structures and the quotient basis of
the vanishing ideal, so we will explicitly know the set of leading terms of
elements of I. We split the problem into several smaller ones which can be
solved by induction over variables and then use our new algorithm for
intersection of ideals to compute the result of the original problem. The new
algorithm for intersection of ideals is mainly based on the Extended Euclidean
Algorithm.


title: Primordial scalar perturbations in tachyonic power-law inflation

abstract:
  In this work we determine the power spectrum of the gravitational potential
of the primordial fluctuations for an inflationary model whose \emph{inflaton}
is a non-canonical scalar field of the tachyon-type. The respective background
field equations for an inverse-square potential produce a power-law inflation,
and it is explicitly shown that for such a potential the power spectrum tends
to be scale-independent for highly accelerated regimes in the inflationary
expansion.


title: Wild Ramification and the Cotangent Bundle

abstract:
  We define the characteristic cycle of a locally constant \'etale sheaf on a
smooth variety in positive characteristic ramified along boundary as a cycle in
the cotangent bundle of the variety, at least on a neighborhood of the generic
point of the divisor on the boundary. The crucial ingredient in the definition
is an additive structure on the boundary induced by the groupoid structure of
multiple self products.
  We prove a compatibility with pull-back and local acyclicity in
non-characteristic situations. We also give a relation with the characteristic
cohomology class under a certain condition and a concrete example where the
intersection with the 0-section computes the Euler-Poincar\'e characteristic.


title:
Critical escape velocity for a charged particle moving around a weakly
  magnetized Schwarzschild black hole

abstract:
  We discuss charged particles motion in a spacetime of a weakly magnetized
static non-rotating black hole. We study under which conditions a charged
particle originally revolving around the black hole at a circular orbit after
being kicked by another particle or photon can escape to infinity. We determine
the escape velocity for particles at the innermost stable circular orbits and
discuss the properties of particles moving with near-critical velocity. We show
that in a general case such a motion is chaotic.


title: Transparency effect in the emergence of monopolies in social networks

abstract:
  Power law degree distribution was shown in many complex networks. However, in
most real systems, deviation from power-law behavior is observed in social and
economical networks and emergence of giant hubs is obvious in real network
structures far from the tail of power law. We propose a model based on the
information transparency (transparency means how much the information is
obvious to others). This model can explain power structure in societies with
non-transparency in information delivery. The emergence of ultra powerful nodes
is explained as a direct result of censorship. Based on these assumptions, we
define four distinct transparency regions: perfect non-transparent, low
transparent, perfect transparent and exaggerated regions. We observe the
emergence of some ultra powerful (very high degree) nodes in low transparent
networks, in accordance with the economical and social systems. We show that
the low transparent networks are more vulnerable to attacks and the
controllability of low transparent networks is harder than the others. Also,
the ultra powerful nodes in the low transparent networks have a smaller mean
length and higher clustering coefficients than the other regions.


title: On Gravitational Radiation by a Quantum Bound System

abstract:
  A method based on the path integral approach is engaged to consider the
gravitational emission from a quantum mechanical bound system in a locally
inertial frame. In such a frame, interaction between the electromagnetic (bound
potential) and gravitational fields can be neglected resulting in the less
mathematical complexity. The final outcome is in agreement with the previous
result for the radiation intensity of emitted gravitons due to decay of bound
states in TT gauge.


title: Effects of coating rate on morphology of copper surfaces

abstract:
  We have used standard fractal analysis and Markov approach to obtain further
insights on roughness and multifractality of different surfaces. The effect of
coating rates on generating topographic rough surfaces in copper thin films
with same thickness has been studied using atomic force microscopy technique
(AFM). Our results show that by increasing the coating rates, correlation
length (grain sizes) and Markov length are decreased and roughness exponent is
decreased and our surfaces become more multifractal. Indeed, by decreasing the
coating rate, the relaxation time of embedding the particles is increased.


title: Srb Measures For Almost Axiom A Diffeomorphisms

abstract:
  We consider a diffeomorphism f of a compact manifold M which is Almost Axiom
A, i.e. f is hyperbolic in a neighborhood of some compact f-invariant set,
except in some singular set of neutral points. We prove that if there exists
some f-invariant set of hyperbolic points with positive unstable-Lebesgue
measure such that for every point in this set the stable and unstable leaves
are "long enough", then f admits a probability SRB measure.


title:
A canonical structure on the tangent bundle of a pseudo- or
  para-K\"ahler manifold

abstract:
  It is a classical fact that the cotangent bundle $T^* \M$ of a differentiable
manifold $\M$ enjoys a canonical symplectic form $\Omega^*$. If
$(\M,\j,g,\omega)$ is a pseudo-K\"ahler or para-K\"ahler $2n$-dimensional
manifold, we prove that the tangent bundle $T\M$ also enjoys a natural
pseudo-K\"ahler or para-K\"ahler structure $(\J,\G,\Omega)$, where $\Omega$ is
the pull-back by $g$ of $\Omega^*$ and $\G$ is a pseudo-Riemannian metric with
neutral signature $(2n,2n)$. We investigate the curvature properties of the
pair $(\J,\G)$ and prove that: $\G$ is scalar-flat, is not Einstein unless $g$
is flat, has nonpositive (resp.\ nonnegative) Ricci curvature if and only if
$g$ has nonpositive (resp.\ nonnegative) Ricci curvature as well, and is
locally conformally flat if and only if $n=1$ and $g$ has constant curvature,
or $n>2$ and $g$ is flat. We also check that (i) the holomorphic sectional
curvature of $(\J,\G)$ is not constant unless $g$ is flat, and (ii) in $n=1$
case, that $\G$ is never anti-self-dual, unless conformally flat.


title: Vulnerability of super edge-connected graphs

abstract:
  A subset $F$ of edges in a connected graph $G$ is a $h$-extra edge-cut if
$G-F$ is disconnected and every component has more than $h$ vertices. The
$h$-extra edge-connectivity $\la^{(h)}(G)$ of $G$ is defined as the minimum
cardinality over all $h$-extra edge-cuts of $G$. A graph $G$, if $\la^{(h)}(G)$
exists, is super-$\la^{(h)}$ if every minimum $h$-extra edge-cut of $G$
isolates at least one connected subgraph of order $h+1$. The persistence
$\rho^{(h)}(G)$ of a super-$\la^{(h)}$ graph $G$ is the maximum integer $m$ for
which $G-F$ is still super-$\la^{(h)}$ for any set $F\subseteq E(G)$ with
$|F|\leqslant m$. Hong {\it et al.} [Discrete Appl. Math. 160 (2012), 579-587]
showed that $\min\{\la^{(1)}(G)-\delta(G)-1,\delta(G)-1\}\leqslant
\rho^{(0)}(G)\leqslant \delta(G)-1$, where $\delta(G)$ is the minimum
vertex-degree of $G$. This paper shows that
$\min\{\la^{(2)}(G)-\xi(G)-1,\delta(G)-1\}\leqslant \rho^{(1)}(G)\leqslant
\delta(G)-1$, where $\xi(G)$ is the minimum edge-degree of $G$. In particular,
for a $k$-regular super-$\la'$ graph $G$, $\rho^{(1)}(G)=k-1$ if $\la^{(2)}(G)$
does not exist or $G$ is super-$\la^{(2)}$ and triangle-free, from which the
exact values of $\rho^{(1)}(G)$ are determined for some well-known networks.


title: Cophenetic metrics for phylogenetic trees, after Sokal and Rohlf

abstract:
  Phylogenetic tree comparison metrics are an important tool in the study of
evolution, and hence the definition of such metrics is an interesting problem
in phylogenetics. In a paper in Taxon fifty years ago, Sokal and Rohlf proposed
to measure quantitatively the difference between a pair of phylogenetic trees
by first encoding them by means of their half-matrices of cophenetic values,
and then comparing these matrices. This idea has been used several times since
then to define dissimilarity measures between phylogenetic trees but, to our
knowledge, no proper metric on weighted phylogenetic trees with nested taxa
based on this idea has been formally defined and studied yet. Actually, the
cophenetic values of pairs of different taxa alone are not enough to single out
phylogenetic trees with weighted arcs or nested taxa. In this paper we define a
family of cophenetic metrics that compare phylogenetic trees on a same set of
taxa by encoding them by means of their vectors of cophenetic values of pairs
of taxa and depths of single taxa, and then computing the $L^p$ norm of the
difference of the corresponding vectors. Then, we study, either analytically or
numerically, some of their basic properties: neighbors, diameter, distribution,
and their rank correlation with each other and with other metrics.


title:
The Z+photon and diphoton decays of the Higgs boson as a joint probe of
  low energy SUSY models at LHC

abstract:
  In light of recent remarkable progress in Higgs search at the LHC, we study
the rare decay process $h \to Z\gamma$ and show its correlation with the decay
$h \to \gamma\gamma$ in low energy SUSY models such as CMSSM, MSSM, NMSSM and
nMSSM. Under various experimental constraints, we scan the parameter space of
each model, and present in the allowed parameter space the SUSY predictions on
the $Z\gamma$ and $\gamma\gamma$ signal rates in the Higgs production at the
LHC and future e+e- linear colliders. We have following observations: (i)
Compared with the SM prediction, the $Z\gamma$ and $\gamma\gamma$ signal rates
in the CMSSM are both slightly suppressed; (ii) In the MSSM, both the $Z\gamma$
and $\gamma\gamma$ rates can be either enhanced or suppressed, and in optimal
case, the enhancement factors can reach 1.2 and 2 respectively; (iii) In the
NMSSM, the $Z\gamma$ and $\gamma\gamma$ signal rates normalized by their SM
predictions are strongly correlated, and vary from 0.2 to 2; (iv) In the nMSSM,
the $Z\gamma$ and $\gamma\gamma$ rates are greatly reduced. Since the
correlation behavior between the Z\gamma signal and the \gamma\gamma signal is
so model-dependent, it may be used to distinguish the models in future
experiments.


title: Exploring Cylindrical Solutions in Modified f(G) Gravity

abstract:
  We present cylindrically symmetric solutions for a type of the Gauss-Bonnet
gravity, in details. We derive the full system of the field equations and show
that there exist seven families of exact solutions for three forms of viable
models. By applying the method based on the effective fluid energy momentum
tensor components, we evaluate the mass per unit length for the solutions. From
dynamical point of the view, by evaluating the null energy condition for these
configurations, we show that in some cases the azimuthal pressure breaks the
energy condition. This violation of the null energy condition predicts the
existence of a cylindrical wormhole.


title: Bounds on List Decoding of Rank-Metric Codes

abstract:
  So far, there is no polynomial-time list decoding algorithm (beyond half the
minimum distance) for Gabidulin codes. These codes can be seen as the
rank-metric equivalent of Reed--Solomon codes. In this paper, we provide bounds
on the list size of rank-metric codes in order to understand whether
polynomial-time list decoding is possible or whether it works only with
exponential time complexity. Three bounds on the list size are proven. The
first one is a lower exponential bound for Gabidulin codes and shows that for
these codes no polynomial-time list decoding beyond the Johnson radius exists.
Second, an exponential upper bound is derived, which holds for any rank-metric
code of length $n$ and minimum rank distance $d$. The third bound proves that
there exists a rank-metric code over $\Fqm$ of length $n \leq m$ such that the
list size is exponential in the length for any radius greater than half the
minimum rank distance. This implies that there cannot exist a polynomial upper
bound depending only on $n$ and $d$ similar to the Johnson bound in Hamming
metric. All three rank-metric bounds reveal significant differences to bounds
for codes in Hamming metric.


title:
Flares and variability from Sagittarius A*: five nights of simultaneous
  multi-wavelength observations

abstract:
  Aims. We report on simultaneous observations and modeling of mid-infrared
(MIR), near-infrared (NIR), and submillimeter (submm) emission of the source
Sgr A* associated with the supermassive black hole at the center of our Galaxy.
Our goal was to monitor the activity of Sgr A* at different wavelengths in
order to constrain the emitting processes and gain insight into the nature of
the close environment of Sgr A*. Methods. We used the MIR instrument VISIR in
the BURST imaging mode, the adaptive optics assisted NIR camera NACO, and the
sub-mm antenna APEX to monitor Sgr A* over several nights in July 2007.
Results. The observations reveal remarkable variability in the NIR and sub-mm
during the five nights of observation. No source was detected in the MIR, but
we derived the lowest upper limit for a flare at 8.59 microns (22.4 mJy with
A_8.59mu = 1.6+/- 0.5). This observational constraint makes us discard the
observed NIR emission as coming from a thermal component emitting at sub-mm
frequencies. Moreover, comparison of the sub-mm and NIR variability shows that
the highest NIR fluxes (flares) are coincident with the lowest sub-mm levels of
our five-night campaign involving three flares. We explain this behavior by a
loss of electrons to the system and/or by a decrease in the magnetic field, as
might conceivably occur in scenarios involving fast outflows and/or magnetic
reconnection.


title: Time-dependent localized Hartree-Fock potential

abstract:
  By minimizing the difference between the left- and the right-hand sides of
the many-body time-dependent Schr\"{o}dinger equation with the
Slater-determinant wave-function, we derive a non-adiabatic and
self-interaction free time-dependent single-particle effective potential which
is the generalization to the time-dependent case of the localized Hartree-Fock
potential. The new potential can be efficiently used within the framework of
the time-dependent density-functional theory as we demonstrate by the
evaluation of the wave-vector and frequency dependent exchange kernel
$f_x(q,\omega)$ and the exchange shear modulus $\mu_x$ of the homogeneous
electron gas.