title: Averaging operators over homogeneous varieties over finite fields

abstract:
  In this paper we study the mapping properties of the averaging operator over
a variety given by a system of homogeneous equations over a finite field. We
obtain optimal results on the averaging problems over two dimensional varieties
whose elements are common solutions of diagonal homogeneous equations. The
proof is based on a careful study of algebraic and geometric properties of such
varieties. In particular, we show that they are not contained in any hyperplane
and are complete intersections. We also address partial results on averaging
problems over arbitrary dimensional homogeneous varieties which are smooth away
from the origin.


title: Holomorphically finitely generated algebras

abstract:
  We introduce and study holomorphically finitely generated (HFG) Fr\'echet
algebras, which are analytic counterparts of affine (i.e., finitely generated)
$\mathbb C$-algebras. Using a theorem of O. Forster, we prove that the category
of commutative HFG algebras is anti-equivalent to the category of Stein spaces
of finite embedding dimension. We also show that the class of HFG algebras is
stable under some natural constructions. This enables us to give a series of
concrete examples of HFG algebras, including Arens-Michael envelopes of affine
algebras (such as the algebras of holomorphic functions on the quantum affine
space and on the quantum torus), the algebras of holomorphic functions on the
free polydisk, on the quantum polydisk, and on the quantum polyannulus.


title: Gamma-ray line from radiative decay of gravitino dark matter

abstract:
  We study radiative decay of gravitino dark matter with trilinear R-parity
violations. We show that the branching ratio of the decay of gravitino into
monochromatic photon can be large enough to explain the observed gamma-ray line
from the Galactic centre in the Fermi-LAT data without producing too much
continuum gamma-ray and anti-proton flux. This scenario is realized when the
mass of sfermions and the trilinear R-parity violating coupling are $O(1-10)$
TeV and $O(10^{-7}-10^{-6})$ respectively.


title: Capabilities' Substitutability and the "S" Curve of Export Diversity

abstract:
  Product diversity, which is highly important in economic systems, has been
highlighted by recent studies on international trade. We found an empirical
pattern, designated as the "S-shaped curve", that models the relationship
between economic size (logarithmic GDP) and export diversity (the number of
varieties of export products) on the detailed international trade data. As the
economic size of a country begins to increase, its export diversity initially
increases in an exponential manner, but overtime, this diversity growth slows
and eventually reaches an upper limit. The interdependence between size and
diversity takes the shape of an S-shaped curve that an be fitted by a logistic
equation. To explain this phenomenon, we introduce a new parameter called
"substitutability" into the list of capabilities or factors of products in the
tri-partite network model (i.e., the country-capability-product model) of
Hidalgo et al. As we observe, when the substitutability is zero, the model
returns to Hidalgo's original model but failed to reproduce the S-shaped curve.
However, in a plot of data, the data increasingly resembles an the S-shaped
curve as the substitutability expands. Therefore, the diversity ceiling effect
can be explained by the substitutability of different capabilities.


title: Leptonic mixing matrix in terms of Cabibbo angle

abstract:
  We phenomenologically build a neutrino mass matrix obeying $\mu-\tau$
symmetry with only two parameters, Cabibbo angle $(\lambda)$ and a flavour
twister parameter $(\eta)$. For vanishing $\eta$, the model assumes TBM mixing.
When $\eta=\lambda$, the model generates a solar mixing angle and solar mass
squared difference that coincide with the experimental best-fits. It motivates
us to propose a mixing matrix in the neutrino sector with $
sin\theta_{12}<\frac{1}{\sqrt{3}}$, $\theta_{13}=0$ and $\theta_{23}=\pi/4$.
The corrections in $\theta_{13}$ and $\theta_{23}$ are conducted following the
breaking of $\mu-\tau$ symmetry, by choosing a proper unitary diagonalizing
charged lepton matrix, and this ensures that $\theta_{23}$ lies within the
first octant. The Cabibbo angle $(\lambda=\sin\theta_{c})$ plays the role of a
guiding parameter in both neutrino as well as leptonic sector. The effect of
the Dirac CP violating phase $\delta_{cp}$ is also studied when it enters
either through the charged lepton diagonalizing matrix or through neutrino
mixing matrix.


title:
Image Retrieval using Histogram Factorization and Contextual Similarity
  Learning

abstract:
  Image retrieval has been a top topic in the field of both computer vision and
machine learning for a long time. Content based image retrieval, which tries to
retrieve images from a database visually similar to a query image, has
attracted much attention. Two most important issues of image retrieval are the
representation and ranking of the images. Recently, bag-of-words based method
has shown its power as a representation method. Moreover, nonnegative matrix
factorization is also a popular way to represent the data samples. In addition,
contextual similarity learning has also been studied and proven to be an
effective method for the ranking problem. However, these technologies have
never been used together. In this paper, we developed an effective image
retrieval system by representing each image using the bag-of-words method as
histograms, and then apply the nonnegative matrix factorization to factorize
the histograms, and finally learn the ranking score using the contextual
similarity learning method. The proposed novel system is evaluated on a large
scale image database and the effectiveness is shown.


title: On the Subexponential Time Complexity of CSP

abstract:
  A CSP with n variables ranging over a domain of d values can be solved by
brute-force in d^n steps (omitting a polynomial factor). With a more careful
approach, this trivial upper bound can be improved for certain natural
restrictions of the CSP. In this paper we establish theoretical limits to such
improvements, and draw a detailed landscape of the subexponential-time
complexity of CSP.
  We first establish relations between the subexponential-time complexity of
CSP and that of other problems, including CNF-Sat. We exploit this connection
to provide tight characterizations of the subexponential-time complexity of CSP
under common assumptions in complexity theory. For several natural CSP
parameters, we obtain threshold functions that precisely dictate the
subexponential-time complexity of CSP with respect to the parameters under
consideration.
  Our analysis provides fundamental results indicating whether and when one can
significantly improve on the brute-force search approach for solving CSP.


title:
Implications of the first AMS-02 measurement for dark matter
  annihilation and decay

abstract:
  In light of the first measurement of the positron fraction by the AMS-02
experiment, we perform a detailed global analysis on the interpretation of the
latest data of PAMELA, Fermi-LAT, and AMS-02 in terms of dark matter (DM)
annihilation and decay in various propagation models. The allowed regions for
the DM particle mass and annihilation cross section or decay life-time are
obtained for channels with leptonic final states: $2e$, $2\mu$, $2\tau$, $4e$,
$4\mu$ and $4\tau$. We show that for the conventional astrophysical background
the AMS-02 positron fraction data alone favour a DM particle mass $\sim 500 \
(800)$ GeV if DM particles annihilate dominantly into $2\mu \ (4\mu)$ final
states, which is significantly lower than that favoured by the Fermi-LAT data
of the total flux of electrons and positrons. The allowed regions by the two
experiments do not overlap at a high confidence level ($99.99999\%$C.L.). We
consider a number of propagation models with different halo height $Z_{h}$,
diffusion parameters $D_{0}$ and $\delta_{1/2}$, and power indices of primary
nucleon sources $\gamma_{p1/p2}$. The normalization and the slope of the
electron background are also allowed to vary. We find that the tension between
the two experiments can be only slightly reduced in the propagation model with
large $Z_{h}$ and $D_{0}$. The consistency of fit is improved for annihilation
channels with $2\tau$ and $4\tau$ final states which favour TeV scale DM
particle with large cross sections above $\sim 10^{-23}
\text{cm}^3\text{s}^{-1}$. In all the considered leptonic channels, the current
data favour the scenario of DM annihilation over DM decay. In the decay
scenario, the charge asymmetric DM decay is slightly favoured.


title:
Convex conditions for robust stability analysis and stabilization of
  linear aperiodic impulsive and sampled-data systems under dwell-time
  constraints

abstract:
  Stability analysis and control of linear impulsive systems is addressed in a
hybrid framework, through the use of continuous-time time-varying discontinuous
Lyapunov functions. Necessary and sufficient conditions for stability of
impulsive systems with periodic impulses are first provided in order to set up
the main ideas. Extensions to stability of aperiodic systems under minimum,
maximum and ranged dwell-times are then derived. By exploiting further the
particular structure of the stability conditions, the results are
non-conservatively extended to quadratic stability analysis of linear uncertain
impulsive systems. These stability criteria are, in turn, losslessly extended
to stabilization using a particular, yet broad enough, class of state-feedback
controllers, providing then a convex solution to the open problem of robust
dwell-time stabilization of impulsive systems using hybrid stability criteria.
Relying finally on the representability of sampled-data systems as impulsive
systems, the problems of robust stability analysis and robust stabilization of
periodic and aperiodic uncertain sampled-data systems are straightforwardly
solved using the same ideas. Several examples are discussed in order to show
the effectiveness and reduced complexity of the proposed approach.


title: Mirror and Synchronous Couplings of Geometric Brownian Motions

abstract:
  The paper studies the question of whether the classical mirror and
synchronous couplings of two Brownian motions minimise and maximise,
respectively, the coupling time of the corresponding geometric Brownian
motions. We establish a characterisation of the optimality of the two couplings
over any finite time horizon and show that, unlike in the case of Brownian
motion, the optimality fails in general even if the geometric Brownian motions
are martingales. On the other hand, we prove that in the cases of the ergodic
average and the infinite time horizon criteria, the mirror coupling and the
synchronous coupling are always optimal for general (possibly non-martingale)
geometric Brownian motions. We show that the two couplings are efficient if and
only if they are optimal over a finite time horizon and give a conjectural
answer for the efficient couplings when they are suboptimal.


title:
The Response of Metal Rich Gas to X-Ray Irradiation from a Massive Black
  Hole at High Redshift: Proof of Concept

abstract:
  Observational studies show that there is a strong link between the formation
and evolution of galaxies and the growth of supermassive black holes (SMBH) at
their centers. However, the underlying physics of this observed relation is
poorly understood. In order to study the effects of X-ray radiation on the
surroundings of the black hole, we implement X-ray Dominated Region (XDR)
physics into Enzo and use the radiation transport module Moray to calculate the
radiative transfer for a polychromatic spectrum. In this work, we investigate
the effects of X-ray irradiation, produced by a central massive black hole
(MBH) with a mass of M = 5x10^4 M_(solar), on ambient gas with solar and zero
metallicity. We find that in the solar metallicity case, due to high opacity of
the metals, the energy deposition rate in the central region (< 20 pc) is high
and hence the temperatures in the center are on the order of 10^(5-7) K.
Moreover, due to the cooling ability and high intrinsic opacity of solar
metallicity gas, column densities of 10^(24) cm^(-2) are reached at a radius of
20 pc from the MBH. These column densities are about 3 orders of magnitudes
higher than in the zero metallicity case. Furthermore, in the zero metallicity
case an X-ray induced H II region is formed already after 5.8 Myr. This causes
a significant outflow of gas (~8x10^6 M_(solar) from the central region, with
the gas reaching outflow velocities up to ~100 km s^(-1). At later times, ~23
Myr after we insert the MBH, we find that the solar metallicity case also
develops an X-ray induced H II region, but delayed by ~17 Myr.


title: Time to MRCA for stationary CBI-processes

abstract:
  Motivated by sample path decomposition of the stationary continuous state
branching process with immigration, a general population model is considered
using the idea of immortal individual. We compute the joint distribution of the
random variables: the time to the most recent common ancestor (MRCA), the size
of the current population and the size of the population just before MRCA. We
obtain the bottleneck effect as well. The distribution of the number of the
oldest families is also established.


title: Some remarks on relativistic zero-mass wave equations and supersymmetry

abstract:
  We study several formulations of zero-mass relativistic equations, stressing
similarities between different frameworks. It is shown that all these massless
wave equations have fermionic as well as bosonic solutions.


title: Variants of Ahlfors' lemma and properties of the logarithmic potentials

abstract:
  As a special class of conformal metrics with negative curvatures, SK-metrics
play a crucial role in metric spaces. This paper concerns the variants of
Ahlfors' lemma in an SK-metric space and gives a higher order derivative
formula for the logarithmic potential function, which can be applied for the
estimates near the singularity of a conformal metric with negative curvatures.


title:
A note on the asymptotic behavior of conformal metrics with negative
  curvatures near isolated singularities

abstract:
  The asymptotic behavior of conformal metrics with negative curvatures near an
isolated singularity for at most second order derivatives was described by
Kraus and Roth in one of their papers in 2008. Our work improves one estimate
of theirs and shows the estimate for higher order derivatives near an isolated
singularity by means of potential theory. We also give some limits of
Minda-type for SK-metrics near the origin. Combining these limits with the
Ahlfors' lemma, we provide some observations SK-metrics.


title:
Integer invariants of an incidence matrix related to Rota's basis
  conjecture

abstract:
  We compute the spectrum and Smith normal form of the incidence matrix of
disjoint transversals, a combinatorial object closely related to the
n-dimensional case of Rota's basis conjecture.


title: Relativistic diffusive motion in thermal electromagnetic fields

abstract:
  We discuss relativistic dynamics in a random electromagnetic field which can
be considered as a high temperature limit of the quantum electromagnetic field
in a heat bath (cavity) moving with a uniform velocity w. We derive diffusion
approximation for the particle's dynamics generalizing the diffusion of Schay
and Dudley. It is shown that the Juttner distribution is the equilibrium state
of the diffusion.


title: Kondo memory in driven strongly-correlated quantum dots

abstract:
  We investigate the real-time current response of strongly-correlated quantum
dot systems under sinusoidal driving voltages. By means of an accurate
hierarchical equations of motion approach, we demonstrate the presence of
prominent memory effects induced by the Kondo resonance on the real-time
current response. These memory effects appear as distinctive hysteresis line
shapes and self-crossing features in the dynamic current-voltage
characteristics, with concomitant excitation of odd-number overtones. They
emerge as a cooperative effect of quantum coherence - due to inductive behavior
- and electron correlations - due to the Kondo resonance. We also show the
suppression of memory effects and the transition to classical behavior as a
function of temperature. All these phenomena can be observed in experiments and
may lead to novel quantum memory applications.


title: Thermodynamics of Local Causal Horizons

abstract:
  We propose an expression for the entropy density associated with the Local
Causal Horizons in any diffeomorphism invariant theory of gravity. If the
black-hole entropy of the theory satisfies the physical process version of the
first law of thermodynamics then our proposed entropy satisfies the Clausius
relation. Thus, our study shows that the thermodynamic nature of the spacetime
horizons is not restricted to the black holes; it also applies to the local
causal horizons in the neighborhood of any point in the spacetime.


title:
Thermal entanglement in an orthogonal dimer-plaquette chain with
  alternating Ising-Heisenberg coupling

abstract:
  In this paper we explore the entanglement in orthogonal dimer-plaquette
Ising-Heisenberg chain, assembled between plaquette edges, also known as
orthogonal dimer plaquettes. The quantum entanglement properties involving an
infinite chain structure are quite important, not only because the mathematical
calculation is cumbersome but also because real materials are well represented
by infinite chain. Using the local gauge symmetry of this model, we are able to
map onto a simple spin-1 like Ising and spin-1/2 Heisenberg dimer model with
single effective ion anisotropy. Thereafter this model can be solved using the
decoration transformation and transfer matrix approach. First, we discuss the
phase diagram at zero temperature of this model, where we find five ground
states, one ferromagnetic, one antiferromagnetic, one triplet-triplet
disordered and one triplet-singlet disordered phase, beside a dimer
ferromagnetic-antiferromagnetic phase. In addition, we discuss the
thermodynamic properties such as entropy, where we display the residual
entropy. Furthermore, using the nearest site correlation function it is
possible also to analyze the pairwise thermal entanglement for both orthogonal
dimers, additionally we discuss the threshold temperature of the entangled
region as a function of Hamiltonian parameters. We find quite interesting thin
reentrance threshold temperature for one of the dimers, and we also discuss the
differences and similarities for both dimers.


title: A Spectral Analysis of Subspace Enchanced Preconditioners

abstract:
  It is well-known that the convergence of Krylov subspace methods to solve
linear system depends on the spectrum of the coefficient matrix, moreover, it
is widely accepted that for both symmetric and unsymmetric systems Krylov
subspace methods will converge fast if the spectrum of the coefficient matrix
is clustered. In this paper we investigate the spectrum of the system
preconditioned by the deflation, coarse correction and adapted deflation
preconditioners. Our analysis shows that the spectrum of the preconditioned
system is highly impacted by the angle between the coarse space for the
construction of the three preconditioners and the subspace spanned by the
eigenvectors associated with the small eigenvalues of the coefficient matrix.
Furthermore, we prove that the accuracy of the inverse of projection matrix
also impacts the spectrum of the preconditioned system. Numerical experiments
emphasized the theoretical analysis.


title: The moduli space of striped black branes

abstract:
  At finite charge density certain holographic models exhibit the spontaneous
breaking of translational invariance resulting in an inhomogeneous phase. We
follow up on recent numerical work, reporting results for a larger class of
cohomogeneity two black branes in AdS, dual to a holographic striped phase. We
construct the continuous moduli space of inhomogeneous black branes as a
function of the temperature. Minimising the free energy we determine the
dominant striped solutions, revealing a growth in the stripe size as the system
is cooled. We discuss the thermodynamic properties of this line of solutions.


title: Variational analysis of a mean curvature flow action functional

abstract:
  We consider the reduced Allen-Cahn action functional, which appears as the
sharp interface limit of the Allen-Cahn action functional and can be understood
as a formal action functional for a stochastically perturbed mean curvature
flow. For suitable evolutions of generalized hypersurfaces this functional
consists of the sum of the squares of the mean curvature and of the velocity
vector, integrated over time and space. For given initial and final conditions
we investigate the corresponding action minimization problem. We give a
generalized formulation and prove compactness and lower semicontinuity
properties of the action functional. Furthermore we characterize the
Euler-Lagrange equation for smooth stationary points and investigate conserved
quantities. Finally we present an explicit example and consider concentric
spheres as initial and final data and characterize in dependence of the given
time span the properties of the minimal rotationally symmetric connection.


title:
Formation of orbital-selective electron states in LaTiO$_3$/SrTiO$_3$
  superlattices

abstract:
  The interface electronic structure of correlated LaTiO$_3$/SrTiO$_3$
superlattices is investigated by means of the charge self-consistent
combination of the local density approximation (LDA) to density functional
theory (DFT) with dynamical mean-field theory (DMFT). Utilizing a
pseudopotential technique together with a continuous-time quantum Monte-Carlo
approach, the resulting complex multiorbital electronic states are addressed in
a coherent fashion beyond static mean-field. General structural relaxations are
taken into account on the LDA level and cooperate with the driving forces from
strong electronic correlations. This alliance leads to an Ti($3d_{xy}$)
dominated low-energy quasiparticle peak and a lower Hubbard band in line with
photoemission studies. Furthermore correlation effects close to the
band-insulating bulk SrTiO$_3$ limit as well as the Mott-insulating bulk
LaTiO$_3$ limit are studied via realistic single-layer embeddings.


title: Image Compression predicated on Recurrent Iterated Function Systems

abstract:
  Recurrent iterated function systems (RIFSs) are improvements of iterated
function systems (IFSs) using elements of the theory of Marcovian stochastic
processes which can produce more natural looking images. We construct new RIFSs
consisting substantially of a vertical contraction factor function and
nonlinear transformations. These RIFSs are applied to image compression.


title: Scheduling Cutting Process for Large Paper Rolls

abstract:
  Paper cutting is a simple process of slicing large rolls of paper,
jumbo-reels, into various sub-rolls with variable widths based on demands risen
by customers. Since the variability is high due to collected various orders
into a pool, the process turns to be production scheduling problem, which
requires optimisation so as to minimise the final remaining amount of paper
wasted. The problem holds characteristics similar one-dimensional bin-packing
problem to some extends and differs with some respects. This paper introduces a
modelling attempt as a scheduling problem with an integer programming approach
for optimisation purposes. Then, a constructive heuristic algorithm revising
one of well-known approaches, called Best-fit algorithm, is introduced to solve
the problem. The illustrative examples provided shows the near optimum solution
provided with very low complexity .


title:
First critical probability for a problem on random orientations in
  $G(n,p)$

abstract:
  We study the random graph $G(n,p)$ with a random orientation. For three fixed
vertices $s,a,b$ in $G(n,p)$ we study the correlation of the events $a \to s$
and $s\to b$. We prove that asymptotically the correlation is negative for
small $p$, $p<\frac{C_1}n$, where $C_1\approx0.3617$, positive for
$\frac{C_1}n<p<\frac2n$ and up to $p=p_2(n)$. Computer aided computations
suggest that $p_2(n)=\frac{C_2}n$, with $C_2\approx7.5$. We conjecture that the
correlation then stays negative for $p$ up to the previously known zero at
$\frac12$; for larger $p$ it is positive.


title:
Accelerating Image Reconstruction in Three-Dimensional Optoacoustic
  Tomography on Graphics Processing Units

abstract:
  Purpose: Optoacoustic tomography (OAT) is inherently a three-dimensional (3D)
inverse problem. However, most studies of OAT image reconstruction still employ
two-dimensional (2D) imaging models. One important reason is because 3D image
reconstruction is computationally burdensome. The aim of this work is to
accelerate existing image reconstruction algorithms for 3D OAT by use of
parallel programming techniques.
  Methods: Parallelization strategies are proposed to accelerate a filtered
backprojection (FBP) algorithm and two different pairs of
projection/backprojection operations that correspond to two different numerical
imaging models. The algorithms are designed to fully exploit the parallel
computing power of graphic processing units (GPUs). In order to evaluate the
parallelization strategies for the projection/backprojection pairs, an
iterative image reconstruction algorithm is implemented. Computer-simulation
and experimental studies are conducted to investigate the computational
efficiency and numerical accuracy of the developed algorithms.
  Results: The GPU implementations improve the computational efficiency by
factors of 1, 000, 125, and 250 for the FBP algorithm and the two pairs of
projection/backprojection operators, respectively. Accurate images are
reconstructed by use of the FBP and iterative image reconstruction algorithms
from both computer-simulated and experimental data.
  Conclusions: Parallelization strategies for 3D OAT image reconstruction are
proposed for the first time. These GPU-based implementations significantly
reduce the computational time for 3D image reconstruction, complementing our
earlier work on 3D OAT iterative image reconstruction.


title: Beyond Spikes: Neural Codes and the Chemical Vocabulary of Cognition

abstract:
  In this paper, I examine what I refer to as the spike doctrine, which is the
generally held belief in neuroscience that information in the brain is encoded
by sequences of neural action potentials. I present the argument that specific
neurochemicals, and not spikes, are the elementary units of information in the
brain. I outline several predictions that arise from this interpretation,
relate them to results in the current research literature, and show how they
address some open questions.


title:
The backbone decomposition for spatially dependent supercritical
  superprocesses

abstract:
  Consider any supercritical Galton-Watson process which may become extinct
with positive probability. It is a well-understood and intuitively obvious
phenomenon that, on the survival set, the process may be pathwise decomposed
into a stochastically `thinner' Galton-Watson process, which almost surely
survives and which is decorated with immigrants, at every time step, initiating
independent copies of the original Galton-Watson process conditioned to become
extinct. The thinner process is known as the backbone and characterizes the
genealogical lines of descent of prolific individuals in the original process.
Here, prolific means individuals who have at least one descendant in every
subsequent generation to their own.
  Starting with Evans and O'Connell, there exists a cluster of literature
describing the analogue of this decomposition (the so-called backbone
decomposition) for a variety of different classes of superprocesses and
continuous-state branching processes. Note that the latter family of stochastic
processes may be seen as the total mass process of superprocesses with
non-spatially dependent branching mechanism.
  In this article we consolidate the aforementioned collection of results
concerning backbone decompositions and describe a result for a general class of
supercritical superprocesses with spatially dependent branching mechanisms. Our
approach exposes the commonality and robustness of many of the existing
arguments in the literature.


title:
Paths on the Doubly Covered Region of a Covering of the Plane by Unit
  Discs

abstract:
  Given a covering of the plane by closed unit discs $\mathcal F$ and two
points $A$ and $B$ in the region doubly covered by $\mathcal F$, what is the
length of the shortest path connecting them that stays within the doubly
covered region? This is a problem of G. Fejes-T\'oth and he conjectured that if
the distance between $A$ and $B$ is $d$, then the length of this path is at
most $\sqrt 2 d+O(1)$. In this paper we give a bound of $2.78 d+O(1)$.


title:
Abundances of Suprathermal Heavy Ions in CIRs on STEREO during the
  Minimum of Solar Cycle 23

abstract:
  We examine the composition of the 0.1 - 1 MeV/n interplanetary heavy ions
from H to Fe in corotating interaction regions (CIRs) measured by the SIT
(Suprathermal Ion Telescope) instrument. We use observations taken on board the
two STEREO spacecraft during the unusually long minimum of Solar Cycle 23 from
January 2007 through December 2010. During this period instruments on STEREO
observed more than 50 CIR events making it possible to investigate CIR ion
abundances during solar minimum conditions with unprecedentedly high
statistics. The observations reveal annual variations of relative ion
abundances in the CIRs during the 2007 - 2008 period. In 2010 the elemental
composition in CIRs were influenced by solar energetic particle events.


title:
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D
  Euler Equations

abstract:
  We establish the existence and uniqueness of an ergodic invariant measure for
2D fractionally dissipated stochastic Euler equations on the periodic box, for
any power of the dissipation term.


title:
Comment on "The influence of planetary attractions on the solar
  tachocline" by Callebaut, de Jager and Duhau

abstract:
  Callebaut et al. (2012)'s claim that Scafetta (2010)'s results about a
correlation between 20-year and 60-year temperature cycles and the orbital
motion of Jupiter and Saturn were not confirmed by Humlum et al. (2011) is
erroneous and severely misleading. Also Callebaut et al. (2012)'s absolute
claim that a planetary influences on the Sun should be ruled out as a possible
cause of solar variability is not conclusive because: (1) their calculations
are based on simplistic classical Newtonian analytical mechanics that does not
fully characterize solar physics; (2) the planetary theory of solar variation
is supported by empirical findings. We show that both claims are already
questioned in the scientific literature.

categories: astro-ph.SR astro-ph.EP physics.geo-ph physics.space-ph


title:
A General Framework for Interacting Bayes-Optimally with Self-Interested
  Agents using Arbitrary Parametric Model and Model Prior

abstract:
  Recent advances in Bayesian reinforcement learning (BRL) have shown that
Bayes-optimality is theoretically achievable by modeling the environment's
latent dynamics using Flat-Dirichlet-Multinomial (FDM) prior. In
self-interested multi-agent environments, the transition dynamics are mainly
controlled by the other agent's stochastic behavior for which FDM's
independence and modeling assumptions do not hold. As a result, FDM does not
allow the other agent's behavior to be generalized across different states nor
specified using prior domain knowledge. To overcome these practical limitations
of FDM, we propose a generalization of BRL to integrate the general class of
parametric models and model priors, thus allowing practitioners' domain
knowledge to be exploited to produce a fine-grained and compact representation
of the other agent's behavior. Empirical evaluation shows that our approach
outperforms existing multi-agent reinforcement learning algorithms.


title: Sequential quantum-enhanced measurement with an atomic ensemble

abstract:
  We propose a quantum-enhanced iterative (with $K$ steps) measurement scheme
based on an ensemble of $N$ two-level probes which asymptotically approaches
the Heisenberg limit $\delta_K \propto R^{-K/(K+1)}$, $R$ the number of quantum
resources. The protocol is inspired by Kitaev's phase estimation algorithm and
involves only collective manipulation and measurement of the ensemble. The
iterative procedure takes the shot-noise limited primary measurement with
precision $\delta_1\propto N^{-1/2}$ to increasingly precise results
$\delta_K\propto N^{-K/2}$. A straightforward implementation of the algorithm
makes use of a two-component atomic cloud of Bosons in the precision
measurement of a magnetic field.


title: Resolution structure in HornSAT and CNFSAT

abstract:
  This article describes about the difference of resolution structure and size
between HornSAT and CNFSAT. We can compute HornSAT by using clauses causality.
Therefore we can compute proof diagram by using Log space reduction. But we
must compute CNFSAT by using clauses correlation. Therefore we cannot compute
proof diagram by using Log space reduction, and reduction of CNFSAT is not
P-Complete.


title:
A unified normal mode approach to dynamic tides and its application to
  rotating Sun-like stars

abstract:
  We determine the response of a uniformly rotating star to tidal perturbations
due to a companion. General periodic orbits and parabolic flybys are
considered. We evaluate energy and angular momentum exchange rates as a sum of
contributions from normal modes allowing for dissipative processes. We consider
the case when the response is dominated by the contribution of an identifiable
regular spectrum of low frequency modes, such as gravity modes and evaluate it
in the limit of very weak dissipation. Our formalism may be applied both to
Sun-like stars with radiative cores and convective envelopes and to more
massive stars with convective cores and radiative envelopes. We provide general
expressions for transfer of energy and angular momentum valid for an orbit with
any eccentricity.
  Detailed calculations are made for Sun-like stars in the slow rotation regime
where centrifugal distortion is neglected in the equilibrium and the
traditional approximation is made for the normal modes. We use both a WKBJ
procedure and direct numerical evaluation which are found to be in good
agreement for regimes of interest.
  Finally we use our formalism to determine the evolution time scales for an
object, in an orbit of small eccentricity, around a Sun-like star in which the
tidal response is assumed to occur. Systems with either no rotation or
synchronous rotation are considered. Only rotationally modified gravity modes
are taken into account under the assumption that wave dissipation occurs close
to the stellar centre.


title: Giant vacuum forces via transmission lines

abstract:
  Quantum electromagnetic fluctuations induce forces between neutral particles,
known as the van der Waals (vdW) and Casimir interactions. These fundamental
forces, mediated by virtual photons from the vacuum, play an important role in
basic physics and chemistry, and in emerging technologies involving, e.g.
micro-electromechanical systems or quantum information processing. Here we show
that these interactions can be enhanced by many orders of magnitude upon
changing the character of the mediating vacuum-modes. By considering two
polarizable particles in the vicinity of any standard electric transmission
line, along which photons can propagate in one dimension (1d), we find a much
stronger and longer-range interaction than in free-space. This enhancement may
have profound implications on many-particle and bulk systems, and impact the
quantum technologies mentioned above. The predicted giant vacuum force is
estimated to be measurable in a coplanar waveguide line.


title:
Critical Temperature Studies of the Anisotropic Bi- and Multilayer
  Heisenberg Ferromagnets in Pair Approximation

abstract:
  The Pair Approximation method is applied to studies of the bilayer and
multilayer magnetic systems with simple cubic structure. The method allows to
take into account quantum effects related with non-Ising couplings. The paper
adopts the anisotropic Heisenberg model for spin $S=1/2$ and considers the
phase transition temperatures as a function of the exchange integrals strength
in line with the role of intra- and interplanar anisotropic interactions in the
onset of low-dimensional magnetism. The compensation effect for the Curie
temperature is found for asymmetric interactions within the neighbouring planes
of the bilayer system. The paper predicts the saturation of the Curie
temperature for strong interplanar interactions. However, such an effect for
the multilayer system occurs only when the interplanar interactions are of
purely isotropic character.


title: On Spacetime Entanglement

abstract:
  We examine the idea that in quantum gravity, the entanglement entropy of a
general region should be finite and the leading contribution is given by the
Bekenstein-Hawking area law. Using holographic entanglement entropy
calculations, we show that this idea is realized in the Randall-Sundrum II
braneworld for sufficiently large regions in smoothly curved backgrounds.
Extending the induced gravity action on the brane to include the
curvature-squared interactions, we show that the Wald entropy closely matches
the expression describing the entanglement entropy. The difference is that for
a general region, the latter includes terms involving the extrinsic curvature
of the entangling surface, which do not appear in the Wald entropy. We also
consider various limitations on the validity of these results.


title:
Temporal Analysis of Activity Patterns of Editors in Collaborative
  Mapping Project of OpenStreetMap

abstract:
  In the recent years Wikis have become an attractive platform for social
studies of the human behaviour. Containing millions records of edits across the
globe, collaborative systems such as Wikipedia have allowed researchers to gain
a better understanding of editors participation and their activity patterns.
However, contributions made to Geo-wikis_wiki-based collaborative mapping
projects_ differ from systems such as Wikipedia in a fundamental way due to
spatial dimension of the content that limits the contributors to a set of those
who posses local knowledge about a specific area and therefore cross-platform
studies and comparisons are required to build a comprehensive image of online
open collaboration phenomena. In this work, we study the temporal behavioural
pattern of OpenStreetMap editors, a successful example of geo-wiki, for two
European capital cities. We categorise different type of temporal patterns and
report on the historical trend within a period of 7 years of the project age.
We also draw a comparison with the previously observed editing activity
patterns of Wikipedia.

categories: cs.CY cs.HC cs.SI physics.data-an physics.soc-ph


title:
Google Scholar and the h-index in biomedicine: the popularization of
  bibliometric asessment

abstract:
  The aim of this paper is to review the features, benefits and limitations of
the new scientific evaluation products derived from Google Scholar; Google
Scholar Metrics and Google Scholar Citations, as well as the h-index which is
the standard bibliometric indicator adopted by these services. It also outlines
the potential of this new database as a source for studies in Biomedicine and
compares the h-index obtained by the most relevant journals and researchers in
the field of Intensive Care Medicine, by means of data extracted from Web of
Science, Scopus and Google Scholar. Results show that, although average h-index
values in Google Scholar are almost 30% higher than those obtained in Web of
Science and about 15% higher than those collected by Scopus, there are no
substantive changes in the rankings generated from either data source. Despite
some technical problems, it is concluded that Google Scholar is a valid tool
for researchers in Health Sciences, both for purposes of information retrieval
and computation of bibliometric indicators


title:
Performance Modelling and Analysis of Connection Admission Control in
  OFDMA based WiMAX System with MMPP Queuing

abstract:
  This paper presents a problem of queuing theoretic performance modeling and
analysis of Orthogonal Frequency Division Multiple Access (OFDMA) under
broad-band wireless networks. We consider a single-cell WiMAX environment in
which the base station allocates sub channels to the subscriber stations in its
coverage area. The sub channels allocated to a subscriber station are shared by
multiple connections at that subscriber station. To ensure the Quality of
Service (QoS) performances, two Connection Admission Control (CAC) schemes,
namely, threshold-based and queue-aware CAC schemes are considered at a
subscriber station. A queuing analytical framework for these admission control
schemes is presented considering OFDMA-based transmission at the physical
layer. Then, based on the queuing model, both the connection-level and the
packetlevel performances are studied and compared with their analogues in the
case without CAC. The connection arrival is modeled by a Poisson process and
the packet arrival for a connection by a Markov Modulated Poisson Process
(MMPP). We determine analytically and numerically different performance
parameters, such as connection blocking probability, average number of ongoing
connections, average queue length, packet dropping probability, queue
throughput and average packet delay.


title:
Thermodynamic properties of a diluted Heisenberg ferromagnet with
  interaction anisotropy -- magnetocaloric point of view

abstract:
  The thermodynamics of a site-diluted ferromagnetic Heisenberg model for spin
$S=1/2$ with interaction anisotropy in spin space is investigated. The study is
aimed at presenting the magnetocaloric properties of such a model, including
the entropy and temperature changes in magnetization/demagnetization processes,
generalized Gr\"uneisen ratio as well as the quantities characterizing the
efficiency of magnetic cooling cycles. The results are obtained using Pair
Approximation (PA) method and extensively compared with the Molecular Field
Approximation (MFA) calculations. The importance of interaction anisotropy and
site-dilution is discussed. The inadequacy of the MFA approach (even on the
qualitative level) is found for selected quantities, while PA provides the
results which are consistent with the experimentally observed behaviour.


title:
Simulation Analysis of Routing Protocols using Manhattan Grid Mobility
  Model in MANET

abstract:
  A Mobile Ad-hoc Network (MANET) is a self-configuring infrastructure less
network of mobile devices connected by wireless links. In this network
technology, simulative analysis is a significant method to understand the
performance of routing protocols. In this paper three protocols AODV, DSDV and
DSR were simulated using Manhattan Grid Mobility Model. The reactive (AODV,
DSR) and proactive (DSDV) protocols internal mechanism leads to considerable
performance difference. The performance differentials are analyzed using NS-2
which is the main network simulator, NAM (Network Animator), AWK (post
processing script) and were compared in terms of Packet Delivery Fraction
(PDF), Average end-to-end Delay and Throughput, in different environments
specified by varying network load, mobility rate and number of nodes. Our
results presented in this research work demonstrate the performance analysis of
AODV, DSDV and DSR routing protocols. It has been observed that, under
Manhattan Grid mobility model, AODV and DSR performs better than DSDV in terms
of PDF and Throughput. However in term of Average end-to-end Delay, DSDV
appears to be the best one.


title: Does SUSY know about the Standard Model?

abstract:
  The BRST cohomology of free chiral SUSY has a wealth of Extraordinary
Invariants. When one adds a superpotential to the free theory, the extention of
the Extraordinary Invariants leads to some constraints on that superpotential.
A particularly simple solution of those constraints is based on a $3 \times 3$
matrix of nine chiral superfields, and then the superpotential is simply the
determinant of that matrix.
  It is remarkable that this same theory is also a plausible basic version of
the SUSY Standard Model for one Lepton family, and then the nine superfields
are seen to be a left (Weak) SU(2) Lepton Doublet, Two Higgs Doublets, a Right
Electron Singlet, a Right Neutrino Singlet and a Higgs singlet. Moreover, the
algebra is consistent with the notion that the other two observed Lepton
families arise from the coupling of the Extraordinary Invariants.


title:
Extraordinary Invariants are Seeds that Grow Interacting Theories Out of
  Free Theories

abstract:
  Extraordinary Invariants are elements of the BRST Cohomology Space which are
irrevocably dependent on Zinn sources. The existence of an Extraordinary
Invariant means that the symmetry is broken in that sector, and that the field
equations can almost rescue the invariance. Adding the Extraordinary Invariant
to the action results in a new theory with constraints on the starting theory.
So Extraordinary Invariants are seeds from which a theory can grow.
  For a simple example, it is shown in this paper how Yang Mills theory is
implicitly contained in the BRST Cohomology of Free Gauge Theory. It comes from
an Extraordinary Invariant which can be added to the free gauge action. The
Jacobi Identities are generated by requiring that the BRST Poisson Bracket be
zero.
  Since the mechanism is a general one, it can be used to construct new
theories. Some of these, for example in Supersymmetric theories, have not yet
been noticed using other methods.


title: On Cremona Transformations of P^3 with all possible bidegrees

abstract:
  We construct Cremona transformations of P^3 with bidegrees (d,e), where
d<e^2+1, e< d^2+1 and d,e> 0.


title:
On the relative distance of Magellanic Clouds using Cepheid NlR and
  Optical-NIR PW relations

abstract:
  We present new estimates of the relative distance of the Magellanic Clouds
(MCs) by using NIR and Optical-NIR Cepheid Period Wesenheit (PW) relations. The
relative distances are independent of uncertainties affecting the zero-point of
the PW relations, but do depend on the adopted pivot periods. We estimated the
pivot periods for fundamental (FU) and first overtone (FO) Cepheids on the
basis of their period distributions. We found that log P=0.5 (FU) and log P=0.3
(FO) are solid choices, since they trace a main peak and a shoulder in LMC and
SMC period distributions. By using the above pivot periods and ten PW
relations, we found MC relative distances of 0.53$\pm$0.06 (FU) and
0.53$\pm$0.07 (FO) mag. Moreover, we investigated the possibility to use
mixed-mode (FU/FO, FO/SO) Cepheids as distance indicators and we found that
they follow quite well the PW relations defined by single mode MC Cepheids,
with deviations typically smaller than 0.3{\sigma}.


title:
Checking the optimality of entanglement witnesses: an application to
  structural physical approximations

abstract:
  In 2008, the conjecture that structural physical approximations to optimal
entanglement witnesses are separable states (in general unnormalized) was
posed. In an attempt to disprove it, in [K.-C. Ha and S.-H. Kye, Separable
states with unique decompositions, arXiv:1210.1088v3], Ha and Kye proposed a
decomposable entanglement witness whose SPA is entangled and argued that it is
optimal. In this note, which is based on a comment to the latter work [R.
Augusiak et al., Comment on "Separable states with unique decompositions",
arXiv:1304.2040v1], we show, both analytically and numerically, that this
entanglement witness is not optimal, and as such it is not a counterexample to
the conjecture. To this end, we make use of a method for checking optimality of
entanglement witnesses developed already in [M. Lewenstein et al., Phys. Rev. A
62, 052310 (2000)], however, hardly exploited so far in the literature.


title:
Trigonometric Parallaxes of Massive Star Forming Regions: G012.88+0.48
  and W33

abstract:
  We report trigonometric parallaxes for water masers in the G012.88+0.48
region and in the massive star forming complex W33 (containing G012.68--0.18,
G012.81--0.19, G012.90--0.24, G012.90--0.26), from the Bar and Spiral Structure
Legacy (BeSSeL) survey using the Very Long Baseline Array. The parallax
distances to all these masers are consistent with $2.40^{+0.17}_{-0.15}$ kpc,
which locates the W33 complex and G012.88+0.48 in the Scutum spiral arm. Our
results show that W33 is a single star forming complex at about two-thirds the
kinematic distance of 3.7 kpc. The luminosity and mass of this region, based on
the kinematic distance, have therefore been overestimated by more than a factor
of two. The spectral types in the star cluster in W33\,Main have to be changed
by 1.5 points to later types.


title: Non-meager free sets for meager relations on Polish spaces

abstract:
  We prove that for each meager relation $E\subset X\times X$ on a Polish space
$X$ there is a nowhere meager subspace $F\subset X$ which is $E$-free in the
sense that $(x,y)\notin E$ for any distinct points $x,y\in F$.


title: Exact Fourier Spectrum Recovery

abstract:
  Discrete Fourier Transform (DFT) is widely used in signal processing to
analyze the frequencies in a discrete signal. However, DFT fails to recover the
exact Fourier spectrum, when the signal contains frequencies that do not
correspond to the sampling grid. Here, we present an exact Fourier spectrum
recovery method and we provide an implementation algorithm. Also, we show
numerically that the proposed method is robust to noise perturbations.


title: Free path lengths in quasicrystals

abstract:
  Previous studies of kinetic transport in the Lorentz gas have been limited to
cases where the scatterers are distributed at random (e.g. at the points of a
spatial Poisson process) or at the vertices of a Euclidean lattice. In the
present paper we investigate quasicrystalline scatterer configurations, which
are non-periodic, yet strongly correlated. A famous example is the vertex set
of the Penrose tiling. Our main result proves the existence of a limit
distribution of the free path length, which answers a question of Wennberg. The
limit distribution is characterised by a certain random variable on the space
of higher dimensional lattices, and is distinctly different from the
exponential distribution observed for random scatterer configurations. The key
ingredients in the proofs are equidistribution theorems on homogeneous spaces,
which follow from Ratner's measure classification.


title: MUSIC for Faraday Rotation Measure Synthesis

abstract:
  Faraday Rotation Measure (RM) synthesis requires the recovery of the Faraday
Dispersion Function (FDF) from measurements restricted to limited wavelength
ranges, which is an ill-conditioned deconvolution problem. Here, we propose a
novel deconvolution method based on an extension of the MUltiple SIgnal
Classification (MUSIC) algorithm. The complexity and speed of the method is
determined by the eigen-decomposition of the covariance matrix of the observed
polarizations. We show numerically that for high to moderate Signal to Noise
(S/N) cases the RM-MUSIC method is able to recover the Faraday depth values of
closely spaced pairs of thin RM components, even in situations where the peak
response of the FDF is outside of the RM range between the two input RM
components. This result is particularly important because the standard
deconvolution approach based on RM-CLEAN fails systematically in such
situations, due to its greedy mechanism used to extract the RM components. For
low S/N situations, both the RM-MUSIC and RM-CLEAN methods provide similar
results.


title: Luminosity Bias (II): The Cosmic Web of the First Stars

abstract:
  Understanding the formation and evolution of the first stars and galaxies
represents one of the most exciting frontiers in astronomy. Since the universe
was filled with neutral hydrogen at early times, the most promising method for
observing the epoch of the first stars is using the prominent 21-cm spectral
line of the hydrogen atom. Current observational efforts are focused on the
reionization era (cosmic age t ~ 500 Myr), with earlier times considered much
more challenging. However, the next frontier of even earlier galaxy formation
(t ~ 200 Myr) is emerging as a promising observational target. This is made
possible by a recently noticed effect of a significant relative velocity
between the baryons and dark matter at early times. The velocity difference
suppresses star formation, causing a unique form of early luminosity bias. The
spatial variation of this suppression enhances large-scale clustering and
produces a prominent cosmic web on 100 comoving Mpc scales in the 21-cm
intensity distribution. This structure makes it much more feasible for radio
astronomers to detect these early stars, and should drive a new focus on this
era, which is rich with little-explored astrophysics.


title: Sterile neutrinos: the necessity for a 5 sigma definitive clarification

abstract:
  Several different experiments have hinted to the existence of "anomalies" in
the neutrino sector, implying the possible presence of additional sterile
neutrinos or of other options. A definitive experimental search, capable to
clarify either in favour or against all these anomalies at the appropriate > 5
sigma level has been proposed by the ICARUS-NESSIE Collaboration. The technique
is based on two innovative concepts, namely (1) a large mass Liquid Argon Time
Projection Chamber (LAr-TPC) now in full operation at LNGS and (2) the search
for spectral differences in two identical detectors at different distances
along the (anti-)neutrino line(s).


title: Bayesian Computational Tools

abstract:
  This chapter surveys advances in the field of Bayesian computation over the
past twenty years, with missing data. It also contains some novel computational
entries on the double-exponential model that may be of interest per se.


title:
A simple thermodynamic description of the combined Einstein and elastic
  models

abstract:
  Simple application of the Einstein model combined with the elastic
description of solid state is developed. The frequency of quantum oscillators
has been assumed as volume dependent and, furthermore, elastic energy terms of
static character have been included to complete the description. Such an
extension enables to construct the complete thermodynamics. In particular, the
model yields practical equation of state and describes the thermal expansion
coefficient as well as the isothermal compressibility of solids. The
thermodynamic properties resulting from the Gibbs free-energy analysis have
been calculated and illustrated in figures. Some comparison of the theoretical
results with experimental data for solid argon has been made.


title: On Creativity of Slime Mould

abstract:
  Slime mould Physarum polycephalum is large single cell with intriguingly
smart behaviour. The slime mould shows outstanding abilities to adapt its
protoplasmic network to varying environmental conditions. The slime mould can
solve tasks of computational geometry, image processing, logics and arithmetics
when data are represented by configurations of attractants and repellents. We
attempt to map behavioural patterns of slime onto the cognitive control versus
schizotypy spectrum phase space and thus interpret slime mould's activity in
terms of creativity.


title: Homotopy moment maps

abstract:
  Associated to any manifold equipped with a closed form of degree >1 is an
`L-infinity algebra of observables' which acts as a higher/homotopy analog of
the Poisson algebra of functions on a symplectic manifold. In order to study
Lie group actions on these manifolds, we introduce a theory of homotopy moment
maps. Such a map is a L-infinity morphism from the Lie algebra of the group
into the observables which lifts the infinitesimal action. We establish the
relationship between homotopy moment maps and equivariant de Rham cohomology,
and analyze the obstruction theory for the existence of such maps. This allows
us to easily and explicitly construct a large number of examples. These include
results concerning group actions on loop spaces and moduli spaces of flat
connections. Relationships are also established with previous work by others in
classical field theory, algebroid theory, and dg geometry. Furthermore, we use
our theory to geometrically construct various L-infinity algebras as higher
central extensions of Lie algebras, in analogy with Kostant's quantization
theory. In particular, the so-called `string Lie 2-algebra' arises this way.


title: Equation-of-state-independent relations in neutron stars

abstract:
  Neutron stars are extremely relativistic objects which abound in our universe
and yet are poorly understood, due to the high uncertainty on how matter
behaves in the extreme conditions which prevail in the stellar core. It has
recently been pointed out that the moment of inertia I, the Love number lambda
and the spin-induced quadrupole moment Q of an isolated neutron star, are
related through functions which are practically independent of the equation of
state. These surprising universal I-lambda-Q relations pave the way for a
better understanding of neutron stars, most notably via gravitational-wave
emission. Gravitational-wave observations will probe highly-dynamical binaries
and it is important to understand whether the universality of the I-lambda-Q
relations survives strong-field and finite-size effects. We apply a
Post-Newtonian-Affine approach to model tidal deformations in compact binaries
and show that the I-lambda relation depends on the inspiral frequency, but is
insensitive to the equation of state. We provide a fit for the universal
relation, which is valid up to a gravitational wave frequency of ~900 Hz and
accurate to within a few percent. Our results strengthen the universality of
I-lambda-Q relations, and are relevant for gravitational-wave observations with
advanced ground-based interferometers. We also discuss the possibility of using
the Love-compactness relation to measure the neutron-star radius with an
uncertainty of about 10% or smaller from gravitational-wave observations.


title: Ageing studies of resistive Micromegas detectors for the HL-LHC

abstract:
  Resistive-anode Micromegas detectors are in development since several years,
in an effort to solve the problem of sparks when working in high flux and high
radiations environment like in the HL-LHC (ten times the luminosity of the
LHC). They have been chosen as one of the technologies that will be part of the
ATLAS New Small Wheel project (forward muon system). An ageing study is
mandatory to assess their capabilities to handle the HL-LHC environment on a
long-term period. A prototype has been exposed to several types of irradiations
(X-rays, cold neutrons, 60 Co gammas) up to an equivalent HL-LHC time of more
than five years without showing any degradation of the performances in terms of
gain and energy resolution. Beam test studies took place in October 2012 to
assess the tracking performances (efficiency, spatial resolution,...). Results
of ageing studies and beam test performances are reported in this paper.


title:
Monte-Carlo Simulation of a Multi-Dimensional Switch-Like Model of Stem
  Cell Differentiation

abstract:
  The process controlling the diferentiation of stem, or progenitor, cells into
one specific functional direction is called lineage specification. An important
characteristic of this process is the multi-lineage priming, which requires the
simultaneous expression of lineage-specific genes. Prior to commitment to a
certain lineage, it has been observed that these genes exhibit intermediate
values of their expression levels. Multi-lineage differentiation has been
reported for various progenitor cells, and it has been explained through the
bifurcation of a metastable state. During the differentiation process the
dynamics of the core regulatory network follows a bifurcation, where the
metastable state, corresponding to the progenitor cell, is destabilized and the
system is forced to choose between the possible developmental alternatives.
While this approach gives a reasonable interpretation of the cell fate decision
process, it fails to explain the multi-lineage priming characteristic. Here, we
describe a new multi-dimensional switch-like model that captures both the
process of cell fate decision and the phenomenon of multi-lineage priming. We
show that in the symmetrical interaction case, the system exhibits a new type
of degenerate bifurcation, characterized by a critical hyperplane, containing
an infinite number of critical steady states. This critical hyperplane may be
interpreted as the support for the multi-lineage priming states of the
progenitor. Also, the cell fate decision (the multi-stability and switching
behavior) can be explained by a symmetry breaking in the parameter space of
this critical hyperplane. These analytical results are confirmed by Monte-Carlo
simulations of the corresponding chemical master equations.


title:
Dark Matter and Strong Electroweak Phase Transition in a Radiative
  Neutrino Mass Model

abstract:
  We consider an extension of the standard model (SM) with charged singlet
scalars and right handed (RH) neutrinos all at the electroweak scale. In this
model, the neutrino masses are generated at three loops, which provide an
explanation for their smallness, and the lightest RH neutrino, $N_{1}$, is a
dark matter candidate. We find that for three generations of RH neutrinos, the
model can be consistent with the neutrino oscillation data, lepton flavor
violating processes, $N_{1}$ can have a relic density in agreement with the
recent Planck data, and the electroweak phase transition can be strongly first
order. We also show that the charged scalars may enhance the branching ratio
$h-->YY$, where as $h-->YZ$ get can get few percent suppression. We also
discuss the phenomenological implications of the RH neutrinos at the collider.


title: The Strong-Coupling Polaron in Electromagnetic Fields

abstract:
  This paper is concerned with Fr\"ohlich polarons subject to external
electromagnetic fields in the limit of large electron-phonon coupling. To
leading order in the coupling constant, $\sqrt\alpha$, the ground state energy
is shown to be correctly given by the minimum of the Pekar functional including
the electromagnetic fields, provided these fields in the Fr\"ohlich model are
scaled properly with $\alpha$. As a corollary, the binding of two polarons in
strong magnetic fields is obtained.


title:
Characterization and simulation of resistive-MPGDs with resistive strip
  and layer topologies

abstract:
  The use of resistive technologies to MPGD detectors is taking advantage for
many new applications, including high rate and energetic particle flux
scenarios. The recent use of these technologies in large area detectors makes
necessary to understand and characterize the response of this type of detectors
in order to optimize or constrain the parameters used in its production,
material resistivity, strip width, or layer thickness. The values to be chosen
will depend on the environmental conditions in which the detector will be
placed, and the requirements in time resolution and gain, improving the
detector performance for each given application. We present two different
methods to calculate the propagation of charge diffusion through different
resistive topologies; one is based on a FEM of solving the telegraph equation
in our particular strip detector scheme, the other is based on a
semi-analytical approach of charge diffusion and is used to determine the
charge evolution in a resistive layer.


title: Stochastic Recovery Of Sparse Signals From Random Measurements

abstract:
  Sparse signal recovery from a small number of random measurements is a well
known NP-hard to solve combinatorial optimization problem, with important
applications in signal and image processing. The standard approach to the
sparse signal recovery problem is based on the basis pursuit method. This
approach requires the solution of a large convex optimization problem, and
therefore suffers from high computational complexity. Here, we discuss a
stochastic optimization method, as a low-complexity alternative to the basis
pursuit approach.


title:
RG flow equations for the proper-vertices of the background effective
  average action

abstract:
  We derive a system of coupled flow equations for the proper-vertices of the
background effective average action and we give an explicit representation of
these by means of diagrammatic and momentum space techniques. This explicit
representation can be used as a new computational technique that enables the
projection of the flow of a large new class of truncations of the background
effective average action. In particular, these can be single- or bi-field
truncations of local or non-local character. As an application we study
non-abelian gauge theories. We show how to use this new technique to calculate
the beta function of the gauge coupling (without employing the heat kernel
expansion) under various approximations. In particular, one of these
approximations leads to a derivation of beta functions similar to those
proposed as candidates for an "all-orders" beta function. Finally, we discuss
some possible phenomenology related to these flows.


title:
Improved ARV Rounding in Small-set Expanders and Graphs of Bounded
  Threshold Rank

abstract:
  We prove a structure theorem for the feasible solutions of the
Arora-Rao-Vazirani SDP relaxation on low threshold rank graphs and on small-set
expanders. We show that if G is a graph of bounded threshold rank or a
small-set expander, then an optimal solution of the Arora-Rao-Vazirani
relaxation (or of any stronger version of it) can be almost entirely covered by
a small number of balls of bounded radius.
  Then, we show that, if k is the number of balls, a solution of this form can
be rounded with an approximation factor of O(sqrt {log k}) in the case of the
Arora-Rao-Vazirani relaxation, and with a constant-factor approximation in the
case of the k-th round of the Sherali-Adams hierarchy starting at the
Arora-Rao-Vazirani relaxation.
  The structure theorem and the rounding scheme combine to prove the following
result, where G=(V,E) is a graph of expansion \phi(G), \lambda_k is the k-th
smallest eigenvalue of the normalized Laplacian of G, and \phi_k(G) =
\min_{disjoint S_1,...,S_k} \max_{1 <= i <= k} \phi(S_i) is the largest
expansion of any k disjoint subsets of V: if either \lambda_k >> log^{2.5} k
\cdot phi(G) or \phi_{k} (G) >> log k \cdot sqrt{log n}\cdot loglog n\cdot
\phi(G), then the Arora-Rao-Vazirani relaxation can be rounded in polynomial
time with an approximation ratio O(sqrt{log k}).
  Stronger approximation guarantees are achievable in time exponential in k via
relaxations in the Lasserre hierarchy. Guruswami and Sinop [GS13] and Arora, Ge
and Sinop [AGS13] prove that 1+eps approximation is achievable in time 2^{O(k)}
poly(n) if either \lambda_k > \phi(G)/ poly(eps), or if SSE_{n/k} > sqrt{log k
log n} \cdot \phi(G)/ poly(eps), where SSE_s is the minimal expansion of sets
of size at most s.


title:
Zero Dimensional Polariton Laser in a Sub-Wavelength Grating Based
  Vertical Microcavity

abstract:
  Semiconductor exciton-polaritons in planar microcavities form coherent
two-dimensional condensates in non-equilibrium. However, coupling of multiple
lower-dimensional polariton quantum systems, critically needed for polaritonic
quantum device applications and novel cavity-lattice physics, has been limited
due to the conventional cavity structures. Here we demonstrate full confinement
of the polaritons non-destructively using a hybrid cavity made of a
single-layer sub-wavelength grating mirror and a distributed Bragg reflector.
Single-mode polariton lasing was observed at a chosen polarization.
Incorporation of a designable slab mirror into the conventional vertical
cavity, when operating in the strong-coupling regime, enables confinement,
control and coupling of polariton gasses in a scalable fashion. It may open a
door to experimental implementation of polariton-based quantum photonic devices
and coupled cavity quantum electrodynamics systems.


title: Hypoelliptic diffusion and human vision: a semi-discrete new twist

abstract:
  This paper presents a semi-discrete alternative to the theory of
neurogeometry of vision, due to Citti, Petitot and Sarti. We propose a new
ingredient, namely working on the group of translations and discrete rotations
$SE(2,N)$. The theoretical side of our study relates the stochastic nature of
the problem with the Moore group structure of $SE(2,N)$. Harmonic analysis over
this group leads to very simple finite dimensional reductions. We then apply
these ideas to the inpainting problem which is reduced to the integration of a
completely parallelizable finite set of Mathieu-type diffusions (indexed by the
dual of $SE(2,N)$ in place of the points of the Fourier plane, which is a
drastic reduction). The integration of the the Mathieu equations can be
performed by standard numerical methods for elliptic diffusions and leads to a
very simple and efficient class of inpainting algorithms. We illustrate the
performances of the method on a series of deeply corrupted images.


title: On the IYB-property in some solvable groups

abstract:
  A finite group $G$ is called Involutive Yang-Baxter (IYB) if there exists a
bijective 1-cocycle $\chi: G \longrightarrow M$ for some $\mathbb Z G$-module
$M$. It is known that every IYB-group is solvable, but it is still an open
question whether the converse holds. A characterization of the IYB property by
the existence of an ideal $I$ in the augmentation ideal $\omega \mathbb Z G$
complementing the set $1-G$ lead to some speculation that there might be a
connection with the isomorphism problem for $\mathbb Z G$. In this paper we
show that if $N$ is a nilpotent group of class two and $H$ is an IYB-group of
order coprime to that of $N$, then $N\rtimes H$ is IYB. The class of groups
that can be obtained in that way (and hence are IYB) contains in particular
Hertweck's famous counterexample to the isomorphism conjecture as well as all
of its subgroups. We then investigate what an IYB structure on Hertweck's
counterexample looks like concretely.


title:
Turbulent Extreme Multi-Zone Model for Multi-Waveband Variations of
  Blazars

abstract:
  The author is developing a numerical code with thousands of emission zones to
simulate the time-dependent multi-waveband emission from blazars. The code is
based on a model in which turbulent plasma flowing at a relativistic speed down
a jet crosses a standing conical collimation shock that accelerates electrons
to maximum energies in the 5-100 GeV range. This paper reports early results
produced by the model. The simulated light curves and time profiles of the
degree and position angle of polarization have a number of features in common
with the observational data of blazars. Maps of the polarized intensity
structure can be compared with those of blazars observed with very long
baseline interferometry at short millimeter wavelengths.


title:
Statistical Mechanics of a Discrete Schr\"odinger Equation with
  Saturable Nonlinearity

abstract:
  We study the statistical mechanics of the one-dimensional discrete nonlinear
Schr\"odinger (DNLS) equation with saturable nonlinearity. Our study represents
an extension of earlier work [Phys. Rev. Lett. {\bf 84}, 3740 (2000)] regarding
the statistical mechanics of the one-dimensional DNLS equation with a cubic
nonlinearity. As in this earlier study we identify the spontaneous creation of
localized excitations with a discontinuity in the partition function. The fact
that this phenomenon is retained in the saturable DNLS is non-trivial, since in
contrast to the cubic DNLS whose nonlinear character is enhanced as the
excitation amplitude increases, the saturable DNLS in fact becomes increasingly
linear as the excitation amplitude increases. We explore the nonlinear dynamics
of this phenomenon by direct numerical simulations.


title: Inconsistent thermostatistics and negative absolute temperatures

abstract:
  A considerable body of experimental and theoretical work claims the existence
of negative absolute temperatures in spin systems and ultra-cold quantum gases.
Here, we clarify that such findings can be attributed to the use of a popular
yet inconsistent entropy definition, which violates fundamental thermodynamic
relations and fails to produce sensible results for simple analytically
tractable classical and quantum systems. Within a mathematically consistent
thermodynamic formalism, based on an entropy concept originally derived by
Gibbs, absolute temperature remains positive even for systems with bounded
spectrum. We address spurious arguments against the Gibbs formalism and comment
briefly on heat engines with efficiencies greater than one.


title:
Relative variables of the exact fermion-antifermion bound state
  wave-function in the Schwinger Model

abstract:
  The exact Bethe-Salpeter amplitude for the fermion-antifermion bound state in
the Schwinger Model is investigated. The dependence on the relative time and
position in the center-of-mass frame in all contributing instanton sectors is
analyzed. The same is accomplished for the relative energy and momentum
variables. Several interesting properties of the amplitude are revealed. The
explicit threshold structure is demonstrated.


title:
Quasi-classical physics and T-linear resistivity in both strongly
  correlated and ordinary metals

abstract:
  We show that near a quantum critical point generating quantum criticality of
strongly correlated metals where the density of electron states diverges, the
quasi-classical physics remains applicable to the description of the
resistivity \rho of strongly correlated metals due to the presence of a
transverse zero-sound collective mode, reminiscent of the phonon mode in
solids. We demonstrate that at T, being in excess of an extremely low Debye
temperature T_D, the resistivity \rho(T) changes linearly with T, since the
mechanism, forming the T dependence of \rho(T), is the same as the
electron-phonon mechanism that prevails at high temperatures in ordinary
metals. Thus, electron-phonon scattering leads to near material-independence of
the lifetime \tau of quasiparticles that is expressed as the ratio of the
Planck constant \hbar to the Boltzmann constant k_B, T\tau\sim \hbar/k_B. We
find that at T<T_D there exists a different mechanism, maintaining the T-linear
dependence of \rho(T), and making the constancy of \tau fail in spite of the
presence of T-linear dependence. Our results are in good agreement with
exciting experimental observations.


title: Robustification of Elliott's on-line EM algorithm for HMMs

abstract:
  In this paper, we establish a robustification of an on-line algorithm for
modelling asset prices within a hidden Markov model (HMM). In this HMM
framework, parameters of the model are guided by a Markov chain in discrete
time, parameters of the asset returns are therefore able to switch between
different regimes. The parameters are estimated through an on-line algorithm,
which utilizes incoming information from the market and leads to adaptive
optimal estimates. We robustify this algorithm step by step against additive
outliers appearing in the observed asset prices with the rationale to better
handle possible peaks or missings in asset returns.


title:
Active subspace methods in theory and practice: applications to kriging
  surfaces

abstract:
  Many multivariate functions in engineering models vary primarily along a few
directions in the space of input parameters. When these directions correspond
to coordinate directions, one may apply global sensitivity measures to
determine the most influential parameters. However, these methods perform
poorly when the directions of variability are not aligned with the natural
coordinates of the input space. We present a method to first detect the
directions of the strongest variability using evaluations of the gradient and
subsequently exploit these directions to construct a response surface on a
low-dimensional subspace---i.e., the active subspace---of the inputs. We
develop a theoretical framework with error bounds, and we link the theoretical
quantities to the parameters of a kriging response surface on the active
subspace. We apply the method to an elliptic PDE model with coefficients
parameterized by 100 Gaussian random variables and compare it with a local
sensitivity analysis method for dimension reduction.


title:
How well can one jointly measure two incompatible observables on a given
  quantum state?

abstract:
  Heisenberg's uncertainty principle is one of the main tenets of quantum
theory. Nevertheless, and despite its fundamental importance for our
understanding of quantum foundations, there has been some confusion in its
interpretation: although Heisenberg's first argument was that the measurement
of one observable on a quantum state necessarily disturbs another incompatible
observable, standard uncertainty relations typically bound the indeterminacy of
the outcomes when either one or the other observable is measured. In this
paper, we quantify precisely Heisenberg's intuition. Even if two incompatible
observables cannot be measured together, one can still approximate their joint
measurement, at the price of introducing some errors with respect to the ideal
measurement of each of them. We present a new, tight relation characterizing
the optimal trade-off between the error on one observable versus the error on
the other. As a particular case, our approach allows us to characterize the
disturbance of an observable induced by the approximate measurement of another
one; we also derive a stronger error-disturbance relation for this scenario.


title:
Inclination and relativistic effects in the outburst evolution of black
  hole transients

abstract:
  We have systematically studied the effect of the orbital inclination in the
outburst evolution of black hole transients. We have included all the systems
observed by the Rossi X-ray timing explorer in which the thermal, accretion
disc component becomes strongly dominant at some point of the outburst.
Inclination is found to modify the shape of the tracks that these systems
display in the colour/luminosity diagrams traditionally used for their study.
Black hole transients seen at low inclination reach softer spectra and their
accretion discs look cooler than those observed closer to edge-on. This
difference can be naturally explained by considering inclination dependent
relativistic effects on accretion discs.


title:
Study of Particle Ratio Fluctuations and Charge Balance Functions at
  RHIC

abstract:
  The study of correlations between opposite-sign charge pairs and
particle-ratio fluctuations can provide a powerful tool to probe the properties
of the quark-gluon plasma (QGP). It has been suggested that the existence of a
QCD phase transition would cause an increase and divergence of fluctuations.
Thus the event-by-event particle-ratio fluctuations could be used to study
strangeness and baryon number fluctuations near the critical point in the QCD
phase diagram. On the other hand, the study of the balance function can provide
information about charge creation time as well as the subsequent collective
behavior of particles.
  For fluctuations we present dynamical $K/\pi$, $p/\pi$, and $K/p$ ratio
fluctuations from Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 7.7 to 200 GeV at
the Relativistic Heavy Ion Collider using the STAR detector. Charge dependent
results as well as multiplicity scaling properties of these fluctuation results
are discussed. The STAR data are compared to different theoretical model
predictions and previous experimental measurements.
  For balance functions we present results for charged particle pairs,
identified charged pion pairs, and identified charged kaon pairs in Au+Au,
$d$+Au, and $p+p$ collisions at $\sqrt{s_{\rm NN}}$ = 200 GeV. These balance
functions are presented in terms of relative pseudorapidity, $\Delta \eta$,
relative rapidity, $\Delta y$, relative azimuthal angle, $\Delta \phi$, and
invariant relative momentum, $q_{\rm inv}$. In addition, balance functions are
shown in terms of the three components of $q_{\rm inv}$: $q_{\rm long}$,
$q_{\rm out}$, and $q_{\rm side}$. Beam energy and reaction-plane-dependent
balance functions are also discussed in this paper.


title:
A Stochastic Delay Model for Pricing Debt and Equity: Numerical
  Techniques and Applications

abstract:
  In the accompanied paper [14], a delayed nonlinear model for pricing
corporate liabilities was developed. Using self-financed strategy and
duplication we were able to derive two Random Partial Differential Equations
(RPDEs) describing the evolution of debt and equity values of the corporate in
the last delay period interval. In this paper, we provide numerical techniques
to solve our delayed nonlinear model along with the corresponding RPDEs
modeling the debt and equity values of the corporate. Using financial data from
some firms, we compare numerical solutions from both our nonlinear model and
classical Merton model [7] to the real corporate data. From this comparison, it
comes up that in corporate finance the past dependence of the firm value
process may be an important feature and therefore should not be ignored.


title:
Classical $r$-matrix like approach to Frobenius manifolds, WDVV
  equations and flat metrics

abstract:
  A general scheme for construction of flat pencils of contravariant metrics
and Frobenius manifolds as well as related solutions to WDVV associativity
equations is formulated. The advantage is taken from the Rota-Baxter identity
and some relation being counterpart of the modified Yang-Baxter identity from
the classical $r$-matrix formalism. The scheme for the construction of
Frobenius manifolds is illustrated on the algebras of formal Laurent series and
meromorphic functions on Riemann sphere.


title:
Bound-state field theory approach to proton structure effects in muonic
  hydrogen

abstract:
  A bound-state field theory approach to muonic hydrogen is set up using a
variant of the Furry representation in which the lowest-order Hamiltonian
describes a muon in the presence of a point Coulomb field, but the origin of
the binding field is taken to be three charged quarks in the proton which are
modeled as Dirac particles that move freely within a spherical well.
Bound-state field theory techniques are used to evaluate one- and two-photon
effects. Particular attention is paid to two-photon exchange diagrams, which
include the effect of proton polarizability. In addition the modification of
the electromagnetic self energy of the proton by the electric field of the muon
is examined. Finally, the model is used to carry out a calculation of the
static electric polarizability of the proton.


title: Nearly Maximum Flows in Nearly Linear Time

abstract:
  We introduce a new approach to the maximum flow problem in undirected,
capacitated graphs using $\alpha$-\emph{congestion-approximators}:
easy-to-compute functions that approximate the congestion required to route
single-commodity demands in a graph to within a factor of $\alpha$. Our
algorithm maintains an arbitrary flow that may have some residual excess and
deficits, while taking steps to minimize a potential function measuring the
congestion of the current flow plus an over-estimate of the congestion required
to route the residual demand. Since the residual term over-estimates, the
descent process gradually moves the contribution to our potential function from
the residual term to the congestion term, eventually achieving a flow routing
the desired demands with nearly minimal congestion after
$\tilde{O}(\alpha\eps^{-2}\log^2 n)$ iterations. Our approach is similar in
spirit to that used by Spielman and Teng (STOC 2004) for solving Laplacian
systems, and we summarize our approach as trying to do for $\ell_\infty$-flows
what they do for $\ell_2$-flows.
  Together with a nearly linear time construction of a
$n^{o(1)}$-congestion-approximator, we obtain $1+\eps$-optimal single-commodity
flows undirected graphs in time $m^{1+o(1)}\eps^{-2}$, yielding the fastest
known algorithm for that problem. Our requirements of a congestion-approximator
are quite low, suggesting even faster and simpler algorithms for certain
classes of graphs. For example, an $\alpha$-competitive oblivious routing tree
meets our definition, \emph{even without knowing how to route the tree back in
the graph}. For graphs of conductance $\phi$, a trivial
$\phi^{-1}$-congestion-approximator gives an extremely simple algorithm for
finding $1+\eps$-optimal-flows in time $\tilde{O}(m\phi^{-1})$.


title: Quasisymmetric rigidity of Sierpinski carpets $F_{n,p}$

abstract:
  We study a new class of square Sierpi\'nski carpets $F_{n,p}$ ($5\leq n,
1\leq p<\frac{n}{2}-1$) on $\mathbb{S}^2$, which are not quasisymmetrically
equivalent to the standard Sierpi\'{n}ski carpets. We prove that the group of
quasisymmetric self-maps of each $F_{n,p}$ is the Euclidean isometry group.
  We also establish that $F_{n,p}$ and $F_{n',p'}$ are quasisymmetrically
equivalent if and only if $(n,p)=(n',p')$.


title: Learning Coverage Functions and Private Release of Marginals

abstract:
  We study the problem of approximating and learning coverage functions. A
function $c: 2^{[n]} \rightarrow \mathbf{R}^{+}$ is a coverage function, if
there exists a universe $U$ with non-negative weights $w(u)$ for each $u \in U$
and subsets $A_1, A_2, \ldots, A_n$ of $U$ such that $c(S) = \sum_{u \in
\cup_{i \in S} A_i} w(u)$. Alternatively, coverage functions can be described
as non-negative linear combinations of monotone disjunctions. They are a
natural subclass of submodular functions and arise in a number of applications.
  We give an algorithm that for any $\gamma,\delta>0$, given random and uniform
examples of an unknown coverage function $c$, finds a function $h$ that
approximates $c$ within factor $1+\gamma$ on all but $\delta$-fraction of the
points in time $poly(n,1/\gamma,1/\delta)$. This is the first fully-polynomial
algorithm for learning an interesting class of functions in the demanding PMAC
model of Balcan and Harvey (2011). Our algorithms are based on several new
structural properties of coverage functions. Using the results in (Feldman and
Kothari, 2014), we also show that coverage functions are learnable agnostically
with excess $\ell_1$-error $\epsilon$ over all product and symmetric
distributions in time $n^{\log(1/\epsilon)}$. In contrast, we show that,
without assumptions on the distribution, learning coverage functions is at
least as hard as learning polynomial-size disjoint DNF formulas, a class of
functions for which the best known algorithm runs in time
$2^{\tilde{O}(n^{1/3})}$ (Klivans and Servedio, 2004).
  As an application of our learning results, we give simple
differentially-private algorithms for releasing monotone conjunction counting
queries with low average error. In particular, for any $k \leq n$, we obtain
private release of $k$-way marginals with average error $\bar{\alpha}$ in time
$n^{O(\log(1/\bar{\alpha}))}$.


title:
Web Services Modeling and Composition Approach using Object-Oriented
  Petri Nets

abstract:
  Nowadays, with the emergence and the evolution of new technologies, such as
e-business, a large number of companies are connected to Internet, and have
proposed web services to trade. Web services as presented, are conceptually
limited components to relatively simple functionalities. Generally, a single
service does not satisfy the users needs that are more and more complex.
Therefore, services must be made able to be composed to offer added value
services. In this paper, a web services composition approach, modelled by
Objects-Oriented Petri nets, is presented. In his context, an expressive
algebra, which successfully solves the web services complex composition
problem, is proposed. A java tool that allows automating this approach; based
on a definite algebra and a G-nets meta-model, proposed by us, is developed.


title: Chiral-Symmetric Technicolor with Standard Model Higgs boson

abstract:
  Most of the traditional Technicolor-based models are known to be in a strong
tension with the electroweak precision tests. We show that this serious issue
is naturally cured in strongly coupled sectors with chiral-symmetric
vector-like gauge interactions in the framework of gauged linear \sigma-model.
We discuss possible phenomenological implications of such non-standard
chiral-symmetric Technicolor scenario in its simplest formulation preserving
the Standard Model (SM) Higgs mechanism. For this purpose, we assume the
existence of an extra technifermion sector confined under extra SU(3)_TC at the
energy scales reachable at the LHC, \Lambda_TC ~ 0.1-1 TeV, and interacting
with the SM gauge bosons in a chiral-symmetric (vector-like) way. In the
framework of this scenario, the SM Higgs vev acquires natural interpretation in
terms of the condensate of technifermions in confinement in the nearly
conformal limit. We study the influence of the lowest lying composite physical
states, namely, technipions, technisigma and constituent technifermions, on the
Higgs sector properties in the SM and other observables at the LHC. We found
out that the predicted Higgs boson signal strengths in \gamma\gamma,
vector-boson VV* and fermion ffbar decay channels can be sensitive to the new
strongly-coupled dynamics and are consistent with the current SM-like Higgs
boson observations in the limit of relatively small Higgs-technisigma mixing.
At the same time, the chiral-symmetric Technicolor provides us with rich
technipion phenomenology at the LHC, and its major implications are discussed
in detail.


title:
Planar limits of three-dimensional incompressible flows with helical
  symmetry

abstract:
  Helical symmetry is invariance under a one-dimensional group of rigid motions
generated by a simultaneous rotation around a fixed axis and translation along
the same axis. The key parameter in helical symmetry is the step or pitch, the
magnitude of the translation after rotating one full turn around the symmetry
axis. In this article we study the limits of three-dimensional helical viscous
and inviscid incompressible flows in an infinite circular pipe, with
respectively no-slip and no-penetration boundary conditions, as the step
approaches infinity. We show that, as the step becomes large, the
three-dimensional helical flow approaches a planar flow, which is governed by
the so-called two-and-half Navier-Stokes and Euler equations, respectively.


title: Current and Future Liquid Argon Neutrino Experiments

abstract:
  The liquid argon time projection chamber (LArTPC) detector technology
provides an opportunity for precision neutrino oscillation measurements,
neutrino cross section measurements, and searches for rare processes, such as
SuperNova neutrino detection. These proceedings review current and future
LArTPC neutrino experiments. Particular focus is paid to the ICARUS,
MicroBooNE, LAr1, 2-LArTPC at CERN-SPS, LBNE, and 100 kton at Okinoshima
experiments.


title:
Generators of modular function fields obtained from generalized lambda
  functions

abstract:
  We define a modular function which is a generalization of the elliptic
modular lambda function. We show this function and the modular invariant
function generate the modular function field with respect to the principal
congruence subgroup. Further we study its values at imaginary quadratic points.


title: Minimax risk of matrix denoising by singular value thresholding

abstract:
  An unknown $m$ by $n$ matrix $X_0$ is to be estimated from noisy measurements
$Y=X_0+Z$, where the noise matrix $Z$ has i.i.d. Gaussian entries. A popular
matrix denoising scheme solves the nuclear norm penalization problem
$\operatorname {min}_X\|Y-X\|_F^2/2+\lambda\|X\|_*$, where $\|X\|_*$ denotes
the nuclear norm (sum of singular values). This is the analog, for matrices, of
$\ell_1$ penalization in the vector case. It has been empirically observed that
if $X_0$ has low rank, it may be recovered quite accurately from the noisy
measurement $Y$. In a proportional growth framework where the rank $r_n$,
number of rows $m_n$ and number of columns $n$ all tend to $\infty$
proportionally to each other ($r_n/m_n\rightarrow \rho$, $m_n/n\rightarrow
\beta$), we evaluate the asymptotic minimax MSE $\mathcal
{M}(\rho,\beta)=\lim_{m_n,n\rightarrow \infty}\inf_{\lambda}\sup_{\operatorname
{rank}(X)\leq r_n}\operatorname {MSE}(X_0,\hat{X}_{\lambda})$. Our formulas
involve incomplete moments of the quarter- and semi-circle laws ($\beta=1$,
square case) and the Mar\v{c}enko-Pastur law ($\beta<1$, nonsquare case). For
finite $m$ and $n$, we show that MSE increases as the nonzero singular values
of $X_0$ grow larger. As a result, the finite-$n$ worst-case MSE, a quantity
which can be evaluated numerically, is achieved when the signal $X_0$ is
"infinitely strong." The nuclear norm penalization problem is solved by
applying soft thresholding to the singular values of $Y$. We also derive the
minimax threshold, namely the value $\lambda^*(\rho)$, which is the optimal
place to threshold the singular values. All these results are obtained for
general (nonsquare, nonsymmetric) real matrices. Comparable results are
obtained for square symmetric nonnegative-definite matrices.


title: Hidden Nambu mechanics - A variant formulation of Hamiltonian systems -

abstract:
  We propose a variant formulation of Hamiltonian systems by the use of
variables including redundant degrees of freedom. We show that Hamiltonian
systems can be described by extended dynamics whose master equation is the
Nambu equation or its generalization. Partition functions associated with the
extended dynamics in many degrees of freedom systems are given. Our formulation
can also be applied to Hamiltonian systems with first class constraints.


title: K\"ahler-Einstein metrics on stable varieties and log canonical pairs

abstract:
  Let $X$ be a canonically polarized variety, i.e. a complex projective variety
such that its canonical class $K_{X}$ defines an ample $\Q-$line bundle, and
satisfying the conditions $G_1$ and $S_2$. Our main result says that $X$ admits
a K\"ahler-Einstein metric iff $X$ has semi-log canonical singularities i.e.
iff $X$ is a stable variety in the sense of Koll\'ar-Shepherd-Barron and
Alexeev (whose moduli spaces are known to be compact). By definition a
K\"ahler-Einstein metric in this singular context simply means a
K\"ahler-Einstein on the regular locus of $X$ with volume equal to the
algebraic volume of $K_{X},$ i.e. the top intersection number of $K_{X}.$ We
also show that such a metric is uniquely determined and extends to define a
canonical positive current in $c_{1}(K_{X}).$ Combined with recent results of
Odaka our main result shows that $X$ admits a K\"ahler-Einstein metric iff $X$
is K-stable, which thus confirms the Yau-Tian-Donaldson conjecture in this
general setting of (possibly singular) canonically polarized varieties. More
generally, our results are shown to hold in the setting of log minimal
varieties and they also generalize some prior results concerning
K\"ahler-Einstein metrics on quasi-projective varieties.


title: Motif Patterns and Coverings of Points with Unit Disks, Part I

abstract:
  We consider a modification of Winkler's "dots and coins" problem, where we
constrain the dots to lie on a square lattice in the plane. We construct
packings of "coins" (closed unit disks) using motif patterns.


title:
Chaotic motion of three-body problem : an origin of macroscopic
  randomness of the universe

abstract:
  The famous three-body problem is investigated by means of a numerical
approach with negligible numerical noises in a long enough time interval,
namely the Clean Numerical Simulation (CNS). From physical viewpoints, position
of any bodies contains inherent micro-level uncertainty. The evaluations of
such kind of inherent micro-level uncertainty are accurately simulated by means
of the CNS. Our reliable, very accurate CNS results indicate that the inherent
micro-level uncertainty of position of a star/planet might transfer into
macroscopic randomness. Thus, the inherent micro-level uncertainty of a body
might be an origin of macroscopic randomness of the universe. In addition, from
physical viewpoints, orbits of some three-body systems at large time are
inherently random, and thus it has no physical meanings to talk about the
accurate long-term prediction of the chaotic orbits. Note that such kind of
uncertainty and randomness has nothing to do with the ability of human being.
All of these might enrich our knowledge and deepen our understandings about not
only the three-body problem but also chaos.


title:
Matter-gravity scattering in the presence of spontaneous Lorentz
  violation

abstract:
  Considering quantum gravity within the framework of effective field theory,
we investigated the consequences of spontaneous Lorentz violation for the
gravitational potential. In particular, we focus our attention on the bumblebee
models, in which the graviton couples to a vector $B_{\mu}$ that assumes a
nonzero vacuum expectation value. The leading order corrections for the
nonrelativistic potential are obtained from calculation of the scattering
matrix of two scalar particles interacting gravitationally. These corrections
imply anisotropic properties associated with the bumblebee background and also
add a Darwin-like term for Newton's potential.


title: Phase structure of many flavor lattice QCD at finite temperature

abstract:
  In realistic technicolor models containing many fermions, the electroweak
baryogenesis offers a natural scenario for generating baryon number asymmetry.
One of the key ingredients is the occurrence of the first order phase
transition at finite temperature. As a first step toward the exploration of
this possibility on the lattice, we develop an agile method to identify the
critical mass for a given Nf, separating the first order and the crossover
transition. We explain the outline of our method and demonstrate it by
determining the critical mass of Nf-flavors in the presence of light
two-flavors. It is found that the critical mass becomes larger with Nf.


title: On the equational complexity of RRA

abstract:
  We prove that the equational complexity function for the variety of
representable relation algebras is bounded below by a log-log function.