title:
Measurement-based direct quantum feedback control in an open quantum
  system

abstract:
  We consider a general quantum system interacting with a bath and derive a
master equation in the Lindblad form describing the evolution of the whole
quantum system subjected to a measurement-based direct quantum feedback control
(MDFC). As an example, we consider a qubit coupled with a dephasing environment
under the MDFC. We show that for any given pure target state we can always find
the corresponding MDFC scheme which can effectively drive any initial state
into this target state. And by using appropriate MDFC scheme with weak
measurement we can stabilize a single qubit initially prepared in one of two
nonorthogonal states against dephasing noise. Furthermore, we can effectively
protect a kind of known mixed states composed of two nonorthogonal states by
using the corresponding MDFC scheme.


title:
INTEGRAL observations of SS433: system's parameters and nutation of
  supercritical accretion disk

abstract:
  Based on multiyear INTEGRAL observations of SS433 in 2003-2011, a composite
IBIS/ISGRI 18-60 keV orbital light curve is constructed around zero
precessional phases psi_{pr}= 0 at the maximim accretion disk opening angle. It
shows a peculiar shape with significant excess near the orbital phase phi_orb=
0.25, which is not seen in the softer 2-10 keV energy band. The 40-60 keV
orbital light curve demonstrates two almost equal humps at phases \sim 0.25 and
\sim 0.75, most likely due to nutation effects of the accretion disk. The
nutational variability of SS433 in 15-50 keV with a period of 6.290 days is
independently found from timing analysis of Swift/BAT data. The change of the
off-eclipse 18-60 keV X-ray flux with the precessional phase shows a
double-wave form with strong primary maximum at psi_{pr}= 0 and weak but
significant secondary maximum at psi_{pr}= 0.6. A weak variability of the 18-60
keV flux in the middle of the orbital eclipse correlated with the disk
precessional phase is also observed. The joint analysis of the broadband 18-60
keV orbital and precessional light curves confirms the presence of a hot
extended corona in the central parts of the supercritical accretion disk and
constrains the binary mass ratio in SS433 in the range 0.5>q>0.3, suggesting
the black hole nature of the compact object.


title: Thin films of the spin ice compound Ho2Ti2O7

abstract:
  The pyrochlore compounds Ho2Ti2O7 and Dy2Ti2O7 show an exotic form of
magnetism called the spin ice state, resulting from the interplay between
geometrical frustration and ferromagnetic coupling. A fascinating feature of
this state is the appearance of magnetic monopoles as emergent excitations
above the degenerate ground state. Over the past years, strong effort has been
devoted to the investigation of these monopoles and other properties of the
spin ice state in bulk crystals. A tantalising prospect is to incorporate spin
ice materials into devices for spintronics and devices that can manipulate the
magnetic monopoles. This would require the availability of spin ice thin films.
Here, we report the fabrication of Ho2Ti2O7 thin films using pulsed laser
deposition. These films not only show a high crystalline quality, but also
exhibit the hallmarks of a spin ice: a pronounced magnetic anisotropy and an
intermediate plateau in the magnetisation along the [111] crystal direction.


title: Pre-Excitation Studies for Rubidium-Plasma Generation

abstract:
  The key element in the Proton-Driven-Plasma-Wake-Field-Accelerator (AWAKE)
project is the generation of highly uniform plasma from Rubidium vapor. The
standard way to achieve full ionization is to use high power laser which can
assure the over-barrier-ionization (OBI) along the 10 meters long active
region. The Wigner-team in Budapest is investigating an alternative way of
uniform plasma generation. The proposed Resonance Enhanced Multi Photon
Ionization (REMPI) scheme probably can be realized by much less laser power. In
the following the resonant pre-excitations of the Rb atoms are investigated,
theoretically and the status report about the preparatory work on the
experiment are presented.


title: Full time-dependent Hartree-Fock solution of large N Gross-Neveu models

abstract:
  We find the general solution to the time-dependent Hartree-Fock problem for
scattering solutions of the Gross-Neveu models, with both discrete (GN_2) and
continuous (NJL_2) chiral symmetry. We find new multi-breather solutions both
for the GN_2 model, generalizing the Dashen-Hasslacher-Neveu breather solution,
and also new twisted breathers for the NJL_2 model. These solutions satisfy the
full TDHF consistency conditions, and only in the special cases of GN_2 kink
scattering do these conditions reduce to the integrable Sinh-Gordon equation.
We also show that all baryons and breathers are composed of constituent twisted
kinks of the NJL_2 model. Our solution depends crucially on a general class of
transparent, time dependent Dirac potentials found recently by algebraic
methods.


title:
A Game-Theoretic Approach to Distributed Coalition Formation in
  Energy-Aware Cloud Federations (Extended Version)

abstract:
  Federations among sets of Cloud Providers (CPs), whereby a set of CPs agree
to mutually use their own resources to run the VMs of other CPs, are considered
a promising solution to the problem of reducing the energy cost. In this paper,
we address the problem of federation formation for a set of CPs, whose solution
is necessary to exploit the potential of cloud federations for the reduction of
the energy bill. We devise a distributed algorithm, based on cooperative game
theory, that allows a set of CPs to cooperatively set up their federations in
such a way that their individual profit is increased with respect to the case
in which they work in isolation, and we show that, by using our algorithm and
the proposed CPs' utility function, they are able to self-organize into
Nash-stable federations and, by means of iterated executions, to adapt
themselves to environmental changes. Numerical results are presented to
demonstrate the effectiveness of the proposed algorithm.


title: Histograms in heavy-quark QCD at finite temperature and density

abstract:
  We study the phase structure of lattice QCD with heavy quarks at finite
temperature and density by a histogram method. We determine the location of the
critical point at which the first-order deconfining transition in the
heavy-quark limit turns into a crossover at intermediate quark masses through a
change of the shape of the histogram under variation of coupling parameters. We
estimate the effect of the complex phase factor which causes the sign problem
at finite density, and show that, in heavy-quark QCD, the effect is small
around the critical point. We determine the critical surface in 2+1 flavor QCD
in the heavy-quark region at all values of the chemical potential mu including
mu=infty.


title: Quantum discord as a resource for quantum cryptography

abstract:
  Quantum discord is the minimal bipartite resource which is needed for a
secure quantum key distribution, being a cryptographic primitive equivalent to
non-orthogonality. Its role becomes crucial in device-dependent quantum
cryptography, where the presence of preparation and detection noise
(inaccessible to all parties) may be so strong to prevent the distribution and
distillation of entanglement. The necessity of entanglement is re-affirmed in
the stronger scenario of device-independent quantum cryptography, where all
sources of noise are ascribed to the eavesdropper.


title: Kitaev spin models from topological nanowire networks

abstract:
  We show that networks of topological nanowires can realize the physics of
exactly solvable Kitaev spin models with two-body interactions. This connection
arises from the description of the low-energy theory of both systems in terms
of a tight-binding model of Majorana modes. In Kitaev spin models the Majorana
description provides a convenient representation to solve the model, whereas in
an array of topological nanowires it arises, because the physical Majorana
modes localized at wire ends permit tunnelling between wire ends and across
different Josephson junctions. We explicitly show that an array of junctions of
three wires -- a setup relevant to topological quantum computing with nanowires
-- can realize the Yao-Kivelson model, a variant of Kitaev spin models on a
decorated honeycomb lattice. Translating the results from the latter, we show
that the network can be constructed to give rise to collective states
characterized by Chern numbers \nu = 0, +/-1 and +/-2, and that defects in an
array can be associated with vortex-like quasi-particle excitations. Finally,
we analyze the stability of the collective states as well as that of the
network as a quantum information processor. We show that decoherence inducing
instabilities, be them due to disorder or phase fluctuations, can be understood
in terms of proliferation of the vortex-like quasi-particles.


title: Rotating Wormholes in Five Dimensions

abstract:
  We consider rotating Lorentzian wormholes with a phantom field in five
dimensions. These wormhole solutions possess equal angular momenta and thus
represent cohomogeneity-1 configurations. For a given size of the throat, the
angular momenta are bounded by the value of the corresponding extremal
Myers-Perry black hole, which represents the limiting configuration. With
increasing angular momenta the throat becomes increasingly deformed. At the
same time, the violation of the null energy condition decreases to zero, as the
limiting configuration is approached. Symmetric wormhole solutions satisfy a
Smarr-like relation, which is analogous to the Smarr relation of extremal black
holes. A stability analysis shows that the unstable mode of the static
wormholes solutions vanishes when the angular momentum exceeds some critical
value.


title:
Are natural orbitals useful for generating an efficient expansion of the
  wave function?

abstract:
  We investigate whether the natural orbitals (NOs) minimize $\lVert\Psi -
\Phi\rVert^2$, where $\Psi$ is a wave function and $\Phi$ is a full
configuration interaction (CI) approximation to $\Psi$ in a truncated basis. We
will show that the NOs rarely provide the optimal orbitals for $\Phi$, except
when (1) there are only two particles or (2) only one basis function is removed
in the case of fermions. Further, we will show that the CI expansion
coefficients of $\Psi$ and $\Phi$ are identical up to a global scaling factor
and demonstrate how the NOs can be used to generate the orbitals that minimize
$\lVert\Psi - \Phi\rVert^2$.


title:
Universal Chern-Simons partition functions as quadruple Barnes'
  gamma-functions

abstract:
  We show that both perturbative and non-perturbative parts of universal
partition functions of Chern-Simons theory on 3d sphere are ratios of four over
four Barnes' quadruple gamma functions with arguments given by linear
combinations of universal parameters. Since nonperturbative part of partition
function is essentially a universal compact simple Lie group's volume, latter
appears to be expressed through quadruple Barnes' functions, also. For SU(N)
values of parameters recurrent relations on Barnes' functions give the proof of
level-rank duality of complete partition function, thus extending that duality
on non-integer level and rank. We note that integral representation of
universal partition function is defined on few disjoint regions in parameters'
space, corresponding to different signs of real parts of parameters, and
introduce a framework for discussion of analytic continuation of partition
functions(s) from these regions. Although initial integral representation is
symmetric under all permutations of parameters (which corresponds particularly
to $N \rightarrow -N$ duality of gauge theories with classical groups),
analytic continuations are not symmetric under transposition of parameters with
different signs of their real parts. For the particular case of SU(N)
Chern-Simons this asymmetry appears to be the Kinkelin's functional equation
(reflection relation) for Barnes' G-function.


title: Coherent transport by adiabatic passage on atom chips

abstract:
  Adiabatic techniques offer some of the most promising tools to achieve
high-fidelity control of the centre-of-mass degree of freedom of single atoms.
As their main requirement is to follow an eigenstate of the system, constraints
on timing and field strength stability are usually low, especially for trapped
systems. In this paper we present a detailed example of a technique to
adiabatically transport a single atom between different waveguides on an atom
chip. To ensure that all conditions are fulfilled, we carry out fully three
dimensional simulations of the system, using experimentally realistic
parameters. We also detail our method for simulating the system in very
reasonable timescales on a consumer desktop machine by leveraging the power of
GPU computing.


title: Warm Vector Inflation

abstract:
  In this paper we introduce the "warm vector inflation" scenario. In warm
inflation scenario radiation is produced during the inflation epoch and
reheating is avoided. Slow-roll and perturbation parameters of this model are
presented. We develop our model using intermediate inflation model. In this
case, the model is compatible with observational data. We also study the model
using another exact cosmological solution, named logamediate scenario. We
present slow-roll and Hubble parameters, power spectrum and tensor-scalar ratio
in terms of inflaton. The model is compatible with WMAP7 and Planck
observational data.


title: Statistical Mechanics of Multi-Edge Networks

abstract:
  Statistical properties of binary complex networks are well understood and
recently many attempts have been made to extend this knowledge to weighted
ones. There is, however, a subtle difference between networks where weights are
continuos variables and those where they account for discrete, distinguishable
events, which we call multi-edge networks. In this work we face this problem
introducing multi-edge networks as graphs where multiple (distinguishable)
connections between nodes are considered. We develop a statistical mechanics
framework where it is possible to get information about the most relevant
observables given a large spectrum of linear and nonlinear constraints
including those depending both on the number of multi-edges per link and their
binary projection. The latter case is particularly interesting as we show that
binary projections can be understood from multi-edge processes. The
implications of these results are important as many real agent based problems
mapped onto graphs require of this treatment for a proper characterization of
its collective behavior.


title: Linearized multipole solutions and their representation

abstract:
  The monopole solution of the Einstein vacuum field equations (Schwarzschild`s
solution) in Weyl coordinates involves a metric function that can be
interpreted as the gravitational potential of a bar of length $2m$ with
constant linear density. The question addressed in this work is whether similar
representations can be constructed for Weyl solutions other than the
spherically symmetric one.
  A new family of static solutions of the axisymmetric vacuum field equations
generalizing the M-Q$^{(1)}$ solution is developed. These represent slight
deviations from spherical symmetry in terms of the relativistic multipole
moments (RMM) we wish the solution to contain. A Newtonian object referred to
as a dumbbell can be used to describe these solutions in a simple form by means
of the density of this object, since the physical properties of the
relativistic solution are characterized by its behaviour. The density profile
of the dumbbell, which is given in terms of the RMM of the solution, allows us
to distinguish general multipole Weyl solutions from the constant-density
Schwarzschild solution. The range of values of the multipole moments that
generate positive-definite density profiles are also calculated. The bounds on
the multipole moments that arise from this density condition are identical to
those required for a well-behaved infinite-redshift surface $g_{00}=0$.


title:
Geodesics in the linearized multipole solution: Distinguishing black
  holes from naked singularities

abstract:
  We analyze the behaviour of geodesic motion of test particles in the
spacetime of a specific class of axially symmetric static vacuum solutions to
the Einstein equations, hereafter referred to as linearized multipole solution
(LM). We discuss about its suitability to describe a quasi-spherical spacetime.
The existence of an ISCO (innermost stable circular orbit) very close to the
(singular) horizon of the source, is established. The existence of such stable
orbit, inner than the one of the Schwarzschild metric, as well as the
appearance of a splitting in the admissible region of circular orbits, is shown
to be due to the multipole structure of the solution, thereby providing
additional potential observational evidence for distinguishing Schwarzschild
black holes from naked singularities.


title: Category Theory of Symbolic Dynamics

abstract:
  We study the central objects of symbolic dynamics, that is, subshifts and
block maps, from the perspective of basic category theory, and present several
natural categories with subshifts as objects and block maps as morphisms. Our
main goals are to find universal objects in these symbolic categories, to
classify their block maps based on their category theoretic properties, and to
establish as many natural properties (finite completeness, regularity etc.) as
possible. Existing definitions in category theory suggest interesting new
problems for block maps. Our main technical contributions are the solution to
the dual problem of the Extension Lemma and results on certain types of
conserved quantities, suggested by the concept of a coequalizer.


title: High efficiency coupling of photon pairs in practice

abstract:
  Multi-photon and quantum communication experiments such as loophole-free Bell
tests and device independent quantum key distribution require entangled photon
sources which display high coupling efficiency. In this paper we put forward a
simple quantum theoretical model which allows the experimenter to design a
source with high pair coupling efficiency. In particular we apply this approach
to a situation where high coupling has not been previously obtained: we
demonstrate a symmetric coupling efficiency of more than 80% in a highly
frequency non-degenerate configuration. Furthermore, we demonstrate this
technique in a broad range of configurations, i.e. in continuous wave and
pulsed pump regimes, and for different nonlinear crystals.


title: Low power-area designs of 1bit full adder in cadence virtuoso platform

abstract:
  Power consumption has emerged as a primary design constraint for integrated
circuits (ICs). In the Nano meter technology regime, leakage power has become a
major component of total power. Full adder is the basic functional unit of an
ALU. The power consumption of a processor is lowered by lowering the power
consumption of an ALU, and the power consumption of an ALU can be lowered by
lowering the power consumption of Full adder. So the full adder designs with
low power characteristics are becoming more popular these days. This proposed
work illustrates the design of the low-power less transistor full adder designs
using cadence tool and virtuoso platform, the entire simulations have been done
on 180nm single n-well CMOS bulk technology, in virtuoso platform of cadence
tool with the supply voltage 1.8V and frequency of 100MHz. These circuits
consume less power with maximum (6T design)of 93.1% power saving compare to
conventional 28T design and 80.2% power saving compare to SERF design without
much delay degradation. The proposed circuit exploits the advantage of GDI
technique and pass transistor logic


title:
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and
  2-dimensional fluid mechanics

abstract:
  Space-like maximal surfaces and time-like minimal surfaces in
Lorentz-Minkowski3-space are both characterized as zero mean curvature
surfaces. We are interested in the case where the zero mean curvature surface
changes type from space-like to time-like at a given non-degenerate null curve.
We consider this phenomenon and its interesting connection to 2-dimensional
fluid mechanics in this expository article.


title: Computing and Analyzing Recoverable Supports for Sparse Reconstruction

abstract:
  Designing computational experiments involving $\ell_1$ minimization with
linear constraints in a finite-dimensional, real-valued space for receiving a
sparse solution with a precise number $k$ of nonzero entries is, in general,
difficult. Several conditions were introduced which guarantee that, for small
$k$ and for certain matrices, simply placing entries with desired
characteristics on a randomly chosen support will produce vectors which can be
recovered by $\ell_1$ minimization.
  In this work, we consider the case of large $k$ and propose both a
methodology to quickly check whether a given vector is recoverable, and to
construct vectors with the largest possible support. Moreover, we gain new
insights in the recoverability in a non-asymptotic regime. The theoretical
results are illustrated with computational experiments.


title:
Enhancing of the in-plane FFLO-state critical temperature in
  heterostructures by the orbital effect of the magnetic field

abstract:
  It is well-known that the orbital effect of the magnetic field suppresses
superconducting $T_c$. We show that for a system, which is in the
Larkin-Ovchinnikov-Fulde-Ferrell (FFLO) state at zero external magnetic field,
the orbital effect of an applied magnetic field can lead to the enhancement of
the critical temperature higher than $T_c$ at zero field. We concentrate on two
systems, where the in-plane FFLO-state was predicted recently. These are
equilibrium S/F bilayers and S/N bilayers under nonequilibrium quasiparticle
distribution. However, it is suggested that such an effect can take place for
any plane superconducting heterostructure, which is in the in-plane FFLO-state
(or is close enough to it) at zero applied field.


title:
Reducing the standard deviation in multiple-assay experiments where the
  variation matters but the absolute value does not

abstract:
  You measure the value of a quantity x for a number of systems (cells,
molecules, people, chunks of metal, DNA vectors, etc.). You repeat the whole
set of measures in different occasions or assays, which you try to design as
equal to one another as possible. Despite the effort, you find that the results
are too different from one assay to another. As a consequence, some systems'
averages present standard deviations that are too large to render the results
statistically significant. In this work, we present a novel correction method
of very low mathematical and numerical complexity that can reduce the standard
deviation in your results and increase their statistical significance as long
as two conditions are met: inter-system variations of x matter to you but its
absolute value does not, and the different assays display a similar tendency in
the values of x; in other words, the results corresponding to different assays
present high linear correlation. We demonstrate the improvement that this
method brings about on a real cell biology experiment, but the method can be
applied to any problem that conforms to the described structure and
requirements, in any quantitative scientific field that has to deal with data
subject to uncertainty.


title:
Double-scattering mechanism in exclusive $A A \to A A \rho^0 \rho^0$
  reaction at ultrarelativistic collisions

abstract:
  We calculate, for the first time, differential distributions for double
$\rho^0$ meson production in exclusive ultraperipheral, ultrarelativistic
collisions via a double scattering mechanism. The calculations are done in
impact parameter space. The cross section for $\gamma A \to \rho^0 A$ is
parametrized based on an existing calculation. Smearing of $\rho^0$ masses is
taken into account. The results of our calculations are compared at the RHIC
energy to the contribution of the two-photon mechanism discussed previously in
the literature. The cross section for the double scattering mechanism is found
to be an order of magnitude larger at $M_{\rho \rho} <$ 2 GeV and more than two
orders of magnitude at $M_{\rho \rho} >$ 3 GeV, than that for the photon-photon
mechanism. Compared to the two-photon mechanism the double scattering mechanism
populates somewhat larger $\rho^0 \rho^0$ invariant masses and larger rapidity
distances between the two $\rho^0$ mesons and gives a significant contribution
to the $A A \to A A \pi^+ \pi^- \pi^+ \pi^-$ reaction. Some observables related
to charged pions are presented too. We compare the results of our calculation
with the STAR collaboration results on four charged pion production. While the
shape in invariant mass of the four-pion system is very similar to the measured
one, the predicted cross section constitutes only 20% of the measured one. We
discuss a possibility of identifying the double scattering mechanism at the
LHC.


title: Fermionic Superradiance in a Transversely Pumped Optical Cavity

abstract:
  Following the experimental realization of Dicke superradiance in Bose gases
coupled to cavity light fields, we investigate the behavior of ultra cold
fermions in a transversely pumped cavity. We focus on the equilibrium phase
diagram of spinless fermions coupled to a single cavity mode and establish a
zero temperature transition to a superradiant state. In contrast to the bosonic
case, Pauli blocking leads to lattice commensuration effects that influence
self-organization in the cavity light field. This includes a sequence of
discontinuous transitions with increasing atomic density and tricritical
superradiance. We discuss the implications for experiment.


title: A class of operators with normal Aluthge transformation

abstract:
  In this paper, we show that the generalized Aluthge transforma- tions of a
large class of operators (weighted conditional type operators) are normal. As a
consequence, the operator MwEMu is p-hyponormal if and only if it is normal,
and under a weak condition, if MwEMu is normal, then the Holder inequality turn
into equality for w, u. Also, we conclude that, invertible weighted conditional
type operators are normal. In the end we give some appli- cations of
p-hyponormal weighted conditional type operators. In the end, some examples are
provided to illustrate concrete application of the main results of the paper.


title:
Left-handed Z' and Z FCNC quark couplings facing new b -> s mu^+ mu^-
  data

abstract:
  In view of the recent improved data on B_{s,d}->mu^+ mu^- and
B_d->K^*mu^+mu^- we revisit two simple NP scenarios in which new FCNC currents
in b->s mu^+ mu^- transitions are mediated either entirely by a neutral heavy
gauge boson Z' with purely LH complex couplings Delta_L^{qb}(Z') (q=d,s) and
couplings to muons Delta_A^{mu mu}(Z') and Delta_V^{mu mu}(Z') or the SM Z
boson with LH complex couplings Delta_L^{qb}(Z). We demonstrate how these
couplings can be determined by future Delta F=2 and b->s mu^+ mu^- observables.
The correlations between various observables can test these NP scenarios. We
present the results as functions of Delta M_q/Delta M_q^SM, S_{psi phi} and
S_{psi K_S} which should be precisely determined in this decade. We calculate
the violation of the CMFV relation between BR(B_{s,d}-> mu^+ mu^-) and Delta
M_{s,d} in these scenarios. We find that the data on B_{s,d}->mu^+ mu^- from
CMS and LHCb can be reproduced in both scenarios but in the case of Z, Delta
M_s and S_{psi phi} have to be very close to their SM values. As far as
B_d->K^*mu^+mu^- anomalies are concerned the Z' scenario can significantly
soften these anomalies while the Z boson fails because of the small vector
coupling to muons. We also point out that recent proposals of explaining these
anomalies with the help of a real Wilson coefficient C^NP_9 implies uniquely an
enhancement of Delta M_s with respect to its SM value, while a complex C^NP_9
allows for both enhancement and suppression of Delta M_s and simultaneously
novel CP-violating effects. We also discuss briefly scenarios in which the Z'
boson has RH FCNC couplings. In this context we point out a number of
correlations between angular observables measured in B_d->K^*mu^+ mu^- that
arise in the absence of new CP-violating phases in scenarios with only LH or RH
couplings or scenarios in which LH and RH couplings are equal to each other or
differ by sign.


title:
Omnidirectional broadband insulating device for flexural waves in thin
  plates

abstract:
  This work presents a gradient index device for insulating from vibrations a
circular area of a thin plate. The gradient of the refractive index is achieved
by locally changing the thickness of the plate, exploiting in this way the
thickness-dependence of the dispersion relation of flexural waves in thin
plates. A well-like thickness profile in an annular region of the plate is used
to mimic the combination of an attractive and repulsive potentials, focusing
waves at its bottom and dissipating them by means of a properly designed
absorptive layer placed on top of the plate. The central area is therefore
isolated from vibrations while they are dissipated at the bottom of the well.
Simulations have been done using the multilayer multiple scattering method and
the results prove their broadband efficiency and omnidirectional properties.


title:
Algebraic and Geometric Mean Density of States in Topological Anderson
  Insulators

abstract:
  Algebraic and geometric mean density of states in disordered systems may
reveal properties of electronic localization. In order to understand the
topological phases with disorder in two dimensions, we present the calculated
density of states for disordered Bernevig-Hughes-Zhang model. The topological
phase is characterized by a perfectly quantized conducting plateau, carried by
helical edge states, in a two-terminal setup. In the presence of disorder, the
bulk of the topological phase is either a band insulator or an Anderson
insulator. Both of them can protect edge states from backscattering. The
topological phases are explicitly distinguished as topological band insulator
or topological Anderson insulator from the ratio of the algebraic mean density
of states to the geometric mean density of states. The calculation reveals that
topological Anderson insulator can be induced by disorders from either a
topologically trivial band insulator or a topologically nontrivial band
insulator.


title: Riesz representation and optimal stopping with two case studies

abstract:
  In this paper we demonstrate that the Riesz representation of excessive
functions is a useful and enlightening tool to study optimal stopping problems.
After a short general discussion of the Riesz representation we concretize,
firstly, on a d-dimensional and, secondly, a space-time one-dimensional
geometric Brownian motion. After this, two classical optimal stopping problems
are discussed: 1) the optimal investment problem and 2) the valuation of the
American put option. It is seen in both of these problems that the boundary of
the stopping region can be characterized as a unique solution of an integral
equation arising immediately from the Riesz representation of the value
function. In Problem 2 the derived equation coincides with the standard
well-known equation found in the literature.


title:
Remote state preparation of a photonic quantum state via quantum
  teleportation

abstract:
  We demonstrate an experimental realization of remote state preparation via
the quantum teleportation algorithm, using an entangled photon pair in the
polarization degree of freedom as the quantum resource. The input state is
encoded on the path of one of the photons from the pair. The improved
experimental scheme allows us to control the preparation and teleportation of a
state over the entire Bloch sphere with a resolution of the degree of mixture
given by the coherence length of the photon pair. Both the preparation of the
input state and the implementation of the quantum gates are performed in a pair
of chained displaced Sagnac interferometers, which contribute to the overall
robustness of the setup. An average fidelity above 0.9 is obtained for the
remote state preparation process. This scheme allows for a prepared state to be
transmitted on every repetition of the experiment, thus giving an intrinsic
success probability of 1.


title:
Implementation of nlization framework for verbs, pronouns and
  determiners with eugene

abstract:
  UNL system is designed and implemented by a nonprofit organization, UNDL
Foundation at Geneva in 1999. UNL applications are application softwares that
allow end users to accomplish natural language tasks, such as translating,
summarizing, retrieving or extracting information, etc. Two major web based
application softwares are Interactive ANalyzer (IAN), which is a natural
language analysis system. It represents natural language sentences as semantic
networks in the UNL format. Other application software is dEep-to-sUrface
GENErator (EUGENE), which is an open-source interactive NLizer. It generates
natural language sentences out of semantic networks represented in the UNL
format. In this paper, NLization framework with EUGENE is focused, while using
UNL system for accomplishing the task of machine translation. In whole
NLization process, EUGENE takes a UNL input and delivers an output in natural
language without any human intervention. It is language-independent and has to
be parametrized to the natural language input through a dictionary and a
grammar, provided as separate interpretable files. In this paper, it is
explained that how UNL input is syntactically and semantically analyzed with
the UNL-NL T-Grammar for NLization of UNL sentences involving verbs, pronouns
and determiners for Punjabi natural language.


title: Universality of Quark and Gluon TMD Correlators

abstract:
  Transverse Momentum Dependent (TMD) parton distribution functions (PDFs), in
short referred to as TMDs, also take into account the transverse momentum (pT)
of the partons. Just as the pT-integrated analogues we want to link them to
quark and gluon matrix elements using Operator Product Expansion methods in
QCD, involving operators of definite twist. The TMDs also involve operators of
higher twist, which are not suppressed by powers of the hard scale, however.
Using the expression for TMDs involving nonlocal matrix elements of quark and
gluon fields there is a gauge link dependence, which also introduces an
inherent process dependence. Using transverse moments, which are specific
pT-weightings, we can establish the link with quark and gluon fields including
the higher twist ones. We introduce (a finite number of) universal TMDs of
definite rank and show how the process dependent TMDs can be written as
combinations of these universal functions.


title:
Interference Alignment with Diversity for the $2 \times 2$ $X$-Network
  with three antennas

abstract:
  Interference alignment is known to achieve the maximum sum DoF of
$\frac{4M}{3}$ in the $2 \times 2$ $X$-Network (i.e., two-transmitter (Tx)
two-receiver (Rx) $X$-Network) with $M$ antennas at each node, as demonstrated
by Jafar and Shamai. Recently, an Alamouti code based transmission scheme,
which we call the Li-Jafarkhani-Jafar (LJJ) scheme, was proposed for the $2
\times 2$ $X$-Network with two antennas at each node. This scheme achieves a
sum degrees of freedom (DoF) of $\frac{8}{3}$ and also a diversity gain of two
when fixed finite constellations are employed at each Tx. In the LJJ scheme,
each Tx required the knowledge of only its own channel unlike the Jafar-Shamai
scheme which required global CSIT to achieve the maximum possible sum DoF of
$\frac{8}{3}$. Bit error rate (BER) is an important performance metric when the
coding length is finite. This work first proposes a new STBC for a three
transmit antenna single user MIMO system. Building on this STBC, we extend the
LJJ scheme to the $2 \times 2$ $X$-Network with three antennas at each node.
Local channel knowledge is assumed at each Tx. It is shown that the proposed
scheme achieves the maximum possible sum DoF of 4. A diversity gain of 3 is
also guaranteed when fixed finite constellation inputs are used.


title:
Weak lensing reconstruction through cosmic magnification. II. Improved
  power spectrum determination and map-making

abstract:
  The existence of galaxy intrinsic clustering severely hampers the weak
lensing reconstruction from cosmic magnification. In paper I \citep{Yang2011},
we proposed a minimal variance estimator to overcome this problem. By utilizing
the different dependences of cosmic magnification and galaxy intrinsic
clustering on galaxy flux, we demonstrated that the otherwise overwhelming
galaxy intrinsic clustering can be significantly suppressed such that lensing
maps can be reconstructed with promising accuracy. This procedure relies
heavily on the accuracy of determining the galaxy bias from the same data.
Paper I adopts an iterative approach, which degrades toward high redshift. The
current paper presents an alternative method, improving over paper I. We prove
that the measured galaxy clustering between flux bins allows for simultaneous
determination of the lensing power spectrum and the flux dependence of galaxy
bias, at this redshift bin. Comparing to paper I, the new approach is not only
more straightforward, but also more robust. It identifies an ambiguity in
determining the galaxy bias and further discovers a mathematically robust way
to suppress this ambiguity to non-negligible level ($\sim 0.1%$). The
accurately determined galaxy bias can then be applied to the minimal variance
estimator proposed in paper I to improve the lensing map-making. The gain at
high redshift is significant. These maps can be used to measure other
statistics, such as cluster finding and peak statistics. Furthermore, by
including galaxy clustering measurement between different redshift bins, we can
also determine the lensing cross power spectrum between these bins, up to a
small and correctable multiplicative factor.


title: Decomposition numbers of SO_7(q) and Sp_6(q)

abstract:
  We complete the l-modular decomposition numbers of the unipotent characters
in the principal block of the special orthogonal groups SO_7(q) and the
symplectic groups Sp_6(q) for all prime powers q and all odd primes l different
from the defining characteristic.


title:
TRANS outperforms MTF for two special types of request sequences without
  locality of reference

abstract:
  Various list accessing algorithms have been proposed in the literature and
their performances have been analyzed theoretically and experimentally.
Move-To-Front (MTF) and Transpose (TRANS) are two well known primitive list
accessing algorithms. MTF has been proved to be the best performing online
algorithm till date in the literature for real life inputs and practical
applications with locality of reference. It has been shown that when storage
space is extremely limited and pointers for lists cannot be used, then array
implementation of TRANS gives efficient reorganization. Use of MTF is extensive
in the literature whereas, the use of TRANS is rare. As mentioned as an open
problem in literature, direct bounds on the behavior and performance of various
list accessing algorithms are needed to allow realistic comparisons. Since it
has been shown that no single optimal permutation algorithm exists, it becomes
necessary to characterize the circumstances that indicate the advantage in
using a particular list accessing algorithm. Motivated by above challenging
research issue, in this paper we have made an analytical study for evaluating
the performance of TRANS list accessing algorithm using two special types of
request sequences without locality of reference. We have compared the
performance of TRANS with MTF and observed that TRANS outperforms MTF for these
considered types of request sequences.


title:
Optimization of an Amplification Protocol for Misfolded Proteins by
  using Relaxed Control

abstract:
  We investigate an optimal control problem which arises in the optimization of
an amplification technique for misfolded proteins. The improvement of this
technique may play a role in the detection of prion diseases. The model
consists in a linear system of differential equations with a nonlinear control.
The appearance of oscillations in the numerical simulations is understood by
using the Perron and Floquet eigenvalue theory for nonnegative irreductible
matrices. Then to overcome the unsolvability of the optimal control, we relax
the problem. In the two dimensional case we solve explicitely the optimal
relaxed control problem when the final time is large enough.


title: On the $(1,1)-$tensor bundle with Cheeger-Gromoll type metric

abstract:
  The main purpose of the present paper is to construct Riemannian almost
product structures on the $(1,1)-$tensor bundle equipped with Cheeger-Gromoll
type metric over a Riemannian manifold and present some results concerning with
these structures.


title:
Quantitative approximations of the Lyapunov exponent of a rational
  function over valued fields

abstract:
  We establish a quantitative approximation formula of the Lyapunov exponent of
a rational function of degree more than one over an algebraically closed field
of characteristic $0$ that is complete with respect to a non-trivial and
possibly non-archimedean absolute value, in terms of the multipliers of
periodic points of the rational function. This quantifies both our former
convergence result over general fields and the one-dimensional version of
Berteloot--Dupont--Molino's one over archimedean fields.


title:
Exponential relaxation to self-similarity for the superquadratic
  fragmentation equation

abstract:
  We consider the self-similar fragmentation equation with a superquadratic
fragmentation rate and provide a quantitative estimate of the spectral gap.


title:
Structure-dependent mobility of a dry aqueous foam flowing along two
  parallel channels

abstract:
  The velocity of a two-dimensional aqueous foam has been measured as it flows
through two parallel channels, at a constant overall volumetric flow rate. The
flux distribution between the two channels is studied as a function of the
ratio of their widths. A peculiar dependence of the velocity ratio on the width
ratio is observed when the foam structure in the narrower channel is either
single staircase or bamboo. In particular, discontinuities in the velocity
ratios are observed at the transitions between double and single staircase and
between single staircase and bamboo. A theoretical model accounting for the
viscous dissipation at the solid wall and the capillary pressure across a film
pinned at the channel outlet predicts the observed non-monotonic evolution of
the velocity ratio as a function of the width ratio. It also predicts
quantitatively the intermittent temporal evolution of the velocity in the
narrower channel when it is so narrow that film pinning at its outlet
repeatedly brings the flow to a near stop.


title:
Extension of a suspended soap film: A homogeneous dilatation followed by
  new film extraction

abstract:
  Liquid foams are widely used in industry for their high effective viscosity,
whose local origin is still unclear. This Letter presents new results on the
extension of a suspended soap film, in a configuration mimicking the elementary
deformation occurring during foam shearing. We evidence a surprising two-step
evolution: the film first extends homogeneously, then its extension stops, and
a new thicker film is extracted from the meniscus. The second step is
independent of the nature of the surfactant solution, whereas the initial
extension is only observed for surfactant solutions with negligible
dilatational moduli. We predict this complex behavior using a model based on
Frankel's theory and on interface rigidification induced by confinement.


title:
Studying and removing effects of fixed topology in a quantum mechanical
  model

abstract:
  At small lattice spacing, or when using e.g. overlap fermions, lattice QCD
simulations tend to become stuck in a single topological sector. Physical
observables then differ from their full QCD counterparts by 1/V corrections,
where V is the spacetime volume. Brower et al. and Aoki et al. have derived
equations by means of a saddle point approximation, to determine and to remove
these corrections. We extend these equations and apply them to a simple toy
model, a quantum mechanical particle on a circle in a square well potential at
fixed topology. This model can be solved numerically up to arbitrary precision
and allows to explore effects arising due to fixed topology. We investigate the
range of validity and accuracy of the above mentioned equations, to remove such
fixed topology effects.


title:
Deriving the time-dependent Schrodinger m- and p-equations from the
  Klein-Gordon equation

abstract:
  I present an alternative and rather direct way to derive the well known
Schr\"odinger equation for a quantum wavefunction, by starting with the Klein
Gordon equation and applying a directional factorization scheme. And since if
you have a directionally factorizing hammer, everything looks like a
factorizable nail, I also derive an alternative wavefunction propagation
equation in the momentum-dominated limit. This new Schr\"odinger $p$-equation
therefore provides a potentially useful complement to the traditional
Schr\"odinger $m$-equation's mass-dominated limit.


title: Model Checking Contest @ Petri Nets, Report on the 2013 edition

abstract:
  This document presents the results of the Model Checking Contest held at
Petri Nets 2013 in Milano. This contest aimed at a fair and experimental
evaluation of the performances of model checking techniques applied to Petri
nets. This is the third edition after two successful editions in 2011 and 2012.
  The participating tools were compared on several examinations (state space
generation and evaluation of several types of formul{\ae} -- reachability, LTL,
CTL for various classes of atomic propositions) run on a set of common models
(Place/Transition and Symmetric Petri nets).
  After a short overview of the contest, this paper provides the raw results
from the contest, model per model and examination per examination. An HTML
version of this report is also provided (http://mcc.lip6.fr).


title: Entitymetrics: Measuring the Impact of Entities

abstract:
  This paper proposes entitymetrics to measure the impact of knowledge units.
Entitymetrics highlight the importance of entities embedded in scientific
literature for further knowledge discovery. In this paper, we use Metformin, a
drug for diabetes, as an example to form an entity-entity citation network
based on literature related to Metformin. We then calculate the network
features and compare the centrality ranks of biological entities with results
from Comparative Toxicogenomics Database (CTD). The comparison demonstrates the
usefulness of entitymetrics to detect most of the outstanding interactions
manually curated in CTD.


title: Slant Riemannian Submersions from Sasakian Manifolds

abstract:
  We introduce slant Riemannian submersions from Sasakian manifolds onto
Riemannian manifolds. We survey main results of slant Riemannian submersions
defined on Sasakian manifolds. We also give an example of such slant
submersions.


title: Bad reduction of the Brauer-Manin obstruction

abstract:
  We relate the Brauer group of a smooth variety over a p-adic field to the
geometry of the special fibre of a regular model, using the purity theorem in
\'etale cohomology. As an illustration, we describe how the Brauer group of a
smooth del Pezzo surface is determined by the singularity type of its
reduction. We then relate the evaluation of an element of the Brauer group to
the existence of points on certain torsors over the special fibre; we use this
to describe situations when the evaluation is constant, and situations when the
evaluation is surjective. In the latter case, we describe how this surjectivity
can be used to prove vanishing of the Brauer-Manin obstruction on varieties
over number fields.


title: Refinement in the Function-Behaviour-Structure Framework

abstract:
  We introduce refinement in the function-behaviour-structure framework for
design, as described by John Gero, in order to deal with complexity. We do this
by connecting the frameworks for the design of two models, one the refinement
of the other. The result is a framework for the design of an object that
supports levels of abstraction in the design. This framework can easily be
extended for the design of an object on more than two levels of abstraction.


title:
Direct products and elementary equivalence of polycyclic-by-finite
  groups

abstract:
  We give an algebraic characterization of elementary equivalence for
polycyclic-by-finite groups. Using this characterization, we investigate the
relations between their elementary equivalence and the elementary equivalence
of the factors in their decompositions in direct products of indecomposable
groups. In particular we prove that the elementary equivalence of two such
groups G,H is equivalent to each of the following properties:
  1)Gx...xG (k times G) and Hx...xG (k times H) are elementarily equivalent for
a strictly positive integer k;
  2)AxG and AxH are elementarily equivalent for two elementarily equivalent
polycyclic-by-finite groups A,B.
  It is not presently known if 1) implies elementary equivalence for any groups
G,H.


title: Shortcut to adiabaticity in internal bosonic Josephson junctions

abstract:
  We extend a recent method to shortcut the adiabatic following to internal
bosonic Josephson junctions in which the control parameter is the linear
coupling between the modes. The approach is based on the mapping between the
two-site Bose-Hubbard Hamiltonian and a 1D effective Schr\"odinger-like
equation, valid in the large $N$ (number of particles) limit. Our method can be
readily implemented in current internal bosonic Josephson junctions and it
improves substantially the production of spin-squeezing with respect to usually
employed linear rampings.


title:
The influence of spin-phonon coupling on antiferromagnetic spin
  fluctuations in FeSe under pressure: the First-principles calculations with
  van der Waals corrections

abstract:
  The electronic structures, lattice dynamics, and magnetic properties of
crystal {\beta}-FeSe under hydrostatic pressure have been studied by using the
first-principles electronic structure calculations with van der Waals (vdW)
corrections. With applied pressures, the energy bands around the Fermi energy
level consisting mainly of Fe-3d orbitals show obvious energy shifts and
occupation variations, and meanwhile the frequencies of all optical phonon
modes increase. Among these phonon modes, the A1g mode, which relates to the Se
height from the Fe-Fe plane, shows a clear frequency jump in the range between
5 and 6 GPa. This is also the pressure range within which the highest
superconducting transition temperature Tc of FeSe is reached in experiments. In
comparison with the other phonon modes, the zero-point vibration of the A1g
mode induces the strongest fluctuation of local magnetic moment on Fe under a
pressure from 0 to 9 GPa, and the induced fluctuation reaches the maximum
around 5 GPa. These results suggest that the effect of phonon via spin-phonon
coupling need to be considered when exploring the superconducting mechanism in
iron-based superconductors.


title:
Unit L-functions for \'etale sheaves of modules over noncommutative
  rings

abstract:
  Let $s\colon X\rightarrow \operatorname{Spec} \mathbb{F}$ be a separated
scheme of finite type over a finite field $\mathbb{F}$ of characteristic $p$,
let $\Lambda$ be a not necessarily commutative $\mathbb{Z}_p$-algebra with
finitely many elements, and let $\mathcal{F}^\bullet$ be a perfect complex of
$\Lambda$-sheaves on the \'etale site of $X$. We show that the ratio
$L(\mathcal{F}^\bullet,T)/L(R s_!\mathcal{F}^\bullet,T)$, which is a priori an
element of $K_1(\Lambda[[T]])$, has a canonical preimage in $K_1(\Lambda[T])$.
We use this to prove a version of the noncommmutative Iwasawa main conjecture
for $p$-adic Lie coverings of $X$.


title:
A reduced model for domain walls in soft ferromagnetic films at the
  cross-over from symmetric to asymmetric wall types

abstract:
  We study the Landau-Lifshitz model for the energy of multi-scale transition
layers -- called "domain walls" -- in soft ferromagnetic films. Domain walls
separate domains of constant magnetization vectors $m^\pm \in \mathbb{S}^2$
that differ by an angle $2\alpha$. Assuming translation invariance tangential
to the wall, our main result is the rigorous derivation of a reduced model for
the energy of the optimal transition layer, which in a certain parameter regime
confirms the experimental, numerical and physical predictions: The minimal
energy splits into a contribution from an asymmetric, divergence-free core
which performs a partial rotation in $\mathbb{S}^2$ by an angle $2\theta$, and
a contribution from two symmetric, logarithmically decaying tails, each of
which completes the rotation from angle $\theta$ to $\alpha$ in $\mathbb{S}^1$.
The angle $\theta$ is chosen such that the total energy is minimal. The
contribution from the symmetric tails is known explicitly, while the
contribution from the asymmetric core is analyzed in [7]. Our reduced model is
the starting point for the analysis of a bifurcation phenomenon from symmetric
to asymmetric domain walls. Moreover, it allows for capturing asymmetric domain
walls including their extended tails (which were previously inaccessible to
brute-force numerical simulation).


title:
Maximum-norm stability and maximal L^p regularity of FEMs for parabolic
  equations with Lipschitz continuous coefficients

abstract:
  In this paper, we study the semi-discrete Galerkin finite element method for
parabolic equations with Lipschitz continuous coefficients. We prove the
maximum-norm stability of the semigroup generated by the corresponding elliptic
finite element operator, and prove the space-time stability of the parabolic
projection onto the finite element space in $L^\infty(\Omega_T)$ and
$L^p((0,T);L^q(\Omega))$, $1<p,q<\infty$. The maximal $L^p$ regularity of the
parabolic finite element equation is also established.


title: Self Energy Correction in Light Front QED And Coherent State Basis

abstract:
  We discuss the calculation of fermion self energy correction in Light Front
QED using a coherent state basis. We show that if one uses coherent state basis
instead of fock basis to calculate the transition matrix elements, the true
infrared divergences in electron mass renormalization $\delta m^2$ get canceled
up to $O(e^4)$ in Light Front gauge. We have also verified this cancellation in
Feynman gauge up to $O(e^2)$.


title:
Effective multi-quark interactions with explicit breaking of chiral
  symmetry

abstract:
  In a long distance Lagrangian approach to the low lying meson phenomenology
we present and discuss the most general spin zero multi-quark interaction
vertices of non-derivative type which include a set of effective interactions
proportional to the current quark masses, breaking explicitely the chiral
SU(3)_L X SU(3)_R and U_A(1) symmetries. These vertices are of the sameorder in
Nc counting as the 't Hooft flavor determinant interaction and the 8 quark
interactions which extend the original leading in Nc four quark interaction
Lagrangian of Nambu and Jona-Lasinio. The Nc assignements match the counting
rules based on arguments set by the scale of spontaneous chiral symmetry
breaking. With path integral bosonization techniques which take appropriately
into account the quark mass differences we derive the mesonic Lagrangian up to
3-point mesonic vertices. We demonstrate that explicit symmetry breaking
effects in interactions are essential to obtain the correct empirical ordering
and magnitude of the splitting of certain states such as m_K < m_eta for the
pseudoscalars and m{kappa(800)} < m{a0(980)} m{f0(980)} in the scalar sector,
and achieve total agreement with the empirical low lying meson mass spectra.
With all parameters of the model fixed by the spectra we analyze further a bulk
of two body decays at tree level of the bosonic Lagrangian: the strong decays
of the scalars sigma->pi pi, f0->pi pi, kappa->pi K, a0(980)->pi eta, as well
as the two photon decays of a0, f0 and sigma mesons and the anomalous decays of
the pseudoscalars {pi,eta,eta'}-> 2 photons. Our results for the strong decays
are within the current expectations and the pseudoscalar radiative decays are
in very good agreement with data. The radiative decays of the scalars are
smaller than the observed values for the f0 and the sigma, but reasonable for
the a0. A detailed discussion accompanies all the results.


title: The Ultraviolet Properties of N=4 Supergravity at Four Loops

abstract:
  We demonstrate that pure N=4 supergravity is ultraviolet divergent at four
loops. The form of the divergence suggests that it is due to the rigid U(1)
duality-symmetry anomaly of the theory. This is the first known example of an
ultraviolet divergence in a pure ungauged supergravity theory in four
dimensions. We use the duality between color and kinematics to construct the
integrand of the four-loop four-point amplitude, whose ultraviolet divergence
is then extracted by standard integration techniques.


title: Limits on Tensor Coupling from Neutron $\beta$-Decay

abstract:
  Limits on the tensor couplings generating a Fierz interference term, b, in
mixed Gamow-Teller Fermi decays can be derived by combining data from
measurements of angular correlation parameters in neutron decay, the neutron
lifetime, and $G_{\text{V}}=G_{\text{F}} V_{ud}$ as extracted from measurements
of the $\mathcal{F}t$ values from the $0^{+} \to 0^{+}$ superallowed decays
dataset. These limits are derived by comparing the neutron $\beta$-decay rate
as predicted in the standard model with the measured decay rate while allowing
for the existence of beyond the standard model couplings. We analyze limits
derived from the electron-neutrino asymmetry, $a$, or the beta-asymmetry, $A$,
finding that the most stringent limits for $C_\text{T}/C_\text{A}$ under the
assumption of no right-handed currents is $-0.0026 < C_\text{T}/C_\text{A} <
0.0024$ (95% C.L.) for the two most recent values of $A$.


title:
La transform\'ee de Fourier pour les espaces tordus sur un groupe
  r\'eductif $\mathfrak{p}$-adique I. Le th\'eor\`eme de Paley-Wiener

abstract:
  Let ${\boldsymbol{G}}$ be a connected reductive group defined over a
non--Archimedean local field $F$. Put $G={\boldsymbol{G}}(F)$. Let $\theta$ be
an $F$--automorphism of ${\boldsymbol{G}}$, and let $\omega$ be a smooth
character of $G$. This paper is concerned with the smooth complex
representations $\pi$ of $G$ such that $\pi^\theta=\pi\circ\theta$ is
isomorphic to $\omega\pi=\omega\otimes\pi$. If $\pi$ is admissible, in
particular irreducible, the choice of an isomorphism $A$ from $\omega\pi$ to
$\pi^\theta$ (and of a Haar measure on $G$) defines a distribution
$\Theta_\pi^A={\rm tr}(\pi\circ A)$ on $G$. The twisted Fourier transform
associates to a compactly supported locally constant function $f$ on $G$, the
function $(\pi,A)\mapsto \Theta_\pi^A(f)$ on a suitable Grothendieck group.
Here we describe its image (Paley--Wiener theorem), and we reduce the
description of its kernel (spectral density theorem) to a result on the
discrete part of the theory.


title:
Relaxation and Intermediate Asymptotics of a Rectangular Trench in a
  Viscous Film

abstract:
  The surface of a thin liquid film with nonconstant curvature flattens as a
result of capillary forces. While this leveling is driven by local curvature
gradients, the global boundary conditions greatly influence the dynamics. Here,
we study the evolution of rectangular trenches in a polystyrene nanofilm.
Initially, when the two sides of a trench are well separated, the asymmetric
boundary condition given by the step height controls the dynamics. In this
case, the evolution results from the leveling of two noninteracting steps. As
the steps broaden further and start to interact, the global symmetric boundary
condition alters the leveling dynamics. We report on full agreement between
theory and experiments for: the capillary-driven flow and resulting time
dependent height profiles; a crossover in the power-law dependence of the
viscous energy dissipation as a function of time as the trench evolution
transitions from two noninteracting to interacting steps; and the convergence
of the profiles to a universal self-similar attractor that is given by the
Green's function of the linear operator describing the dimensionless linearized
thin film equation.

categories: cond-mat.soft cond-mat.mes-hall cond-mat.mtrl-sci math.AP physics.flu-dyn


title: Distributed Maximum Likelihood Sensor Network Localization

abstract:
  We propose a class of convex relaxations to solve the sensor network
localization problem, based on a maximum likelihood (ML) formulation. This
class, as well as the tightness of the relaxations, depends on the noise
probability density function (PDF) of the collected measurements. We derive a
computational efficient edge-based version of this ML convex relaxation class
and we design a distributed algorithm that enables the sensor nodes to solve
these edge-based convex programs locally by communicating only with their close
neighbors. This algorithm relies on the alternating direction method of
multipliers (ADMM), it converges to the centralized solution, it can run
asynchronously, and it is computation error-resilient. Finally, we compare our
proposed distributed scheme with other available methods, both analytically and
numerically, and we argue the added value of ADMM, especially for large-scale
networks.


title:
Search for TeV $\gamma$-ray emission from AE Aqr coincident with high
  optical and X-ray states with the MAGIC telescopes

abstract:
  We report on observations of the nova-like cataclysmic variable AE Aqr
performed by MAGIC. The observations were part of a quasi-simultaneous
multi-wavelength campaign carried out between 2012 May and June covering the
optical, UV, X-ray and gamma-ray ranges. MAGIC conducted the campaign and
observed the source during 12 hours. The other instruments involved were KVA,
Skinakas, and Vidojevica in the optic and Swift in the X-ray. We also used
optical data from the AAVSO. The goals were to: monitor the variability of the
source at different wavelengths, perform gamma-ray studies coincident with the
highest states of the source at the other wavelengths, and confirm or rule out
previous claims of detection of very-high-energy emission from this object. We
report on a search for steady TeV emission during the whole observation, for
variable TeV emission coincident with the highest optical and X-ray states and
periodic TeV emission at the 33.08 s rotation period (30.23 mHz rotation
frequency) of the white dwarf and its first harmonic (60.46 mHz rotation
frequency). These are the first observations under good weather conditions
performed by the present generation of IACTs for this object.


title:
Quantum confinement, energy spectra and backscattering of Dirac fermions
  in quantum wire in magnetic field

abstract:
  We address the problems of an energy spectrum and backscattering of massive
Dirac fermions confined in a cylindrical quantum wire. The Dirac fermions are
described by the 3D Dirac equation supplemented by time-reversal-invariant
boundary conditions at a surface of the wire. Even in zero magnetic field,
spectra quantum-confined and surface states substantially depend on a boundary
parameter a0. At the wire surface with a0 > 0 (a0 < 0) the surface states form
1D massive subbands inside (outside) the bulk gap. The longitudinal magnetic
field transforms the energy spectra. In the limit of the thick wires and the
weak magnetic fields, the 1D massless surface subbands arise at half- integer
number of magnetic flux quanta passing through the wire cross section. We
reveal conditions when backscattering of the surface Dirac fermions by a
non-magnetic impurity is suppressed. In addition, we calculate a conductance
formed by the massless surface Dirac fermions in the magnetic field in
collisional and ballistic regimes.


title: Compressed Sensing for Block-Sparse Smooth Signals

abstract:
  We present reconstruction algorithms for smooth signals with block sparsity
from their compressed measurements. We tackle the issue of varying group size
via group-sparse least absolute shrinkage selection operator (LASSO) as well as
via latent group LASSO regularizations. We achieve smoothness in the signal via
fusion. We develop low-complexity solvers for our proposed formulations through
the alternating direction method of multipliers.


title:
A multi-stream hmm approach to offline handwritten arabic word
  recognition

abstract:
  In This paper we presented new approach for cursive Arabic text recognition
system. The objective is to propose methodology analytical offline recognition
of handwritten Arabic for rapid implementation. The first part in the writing
recognition system is the preprocessing phase is the preprocessing phase to
prepare the data was introduces and extracts a set of simple statistical
features by two methods : from a window which is sliding long that text line
the right to left and the approach VH2D (consists in projecting every character
on the abscissa, on the ordinate and the diagonals 45{\deg} and 135{\deg}) . It
then injects the resulting feature vectors to Hidden Markov Model (HMM) and
combined the two HMM by multi-stream approach.


title: Two-term trace estimates for relativistic stable processes

abstract:
  We prove trace estimates for the relativistic $\alpha$-stable process
extending the result of Ba\~{n}uelos and Kulczycki (2008) in the stable case.


title:
Double logarithms resummation in exclusive processes : the surprising
  behavior of DVCS

abstract:
  Double logarithms resummation has been much studied in inclusive as well as
exclusive processes. The Sudakov mechanism has often be the crucial tool to
exponentiate potentially large contributions to amplitudes or cross-sections
near phase-space boundaries. We report on a recent work where a very different
pattern emerges : the DVCS quark coefficient function C(x,\xi) develops, near
the particular point x=\xi, a non-alternate series in \alpha_s^n
log^{2n}(x-\xi) which may be resummed in a cosh[K sqrt \alpha_s log(x-\xi)]
factor. This result is at odds with the known result for the corresponding
coefficient function for the pion transition form factor near the end point
C(z) although they are much related through a z -> x/\xi correspondence.


title: Consistent description of kinetics and hydrodynamics of dusty plasma

abstract:
  A consistent statistical description of kinetics and hydrodynamics of dusty
plasma is proposed based on the Zubarev nonequilibrium statistical operator
method. For the case of partial dynamics the nonequilibrium statistical
operator and the generalized transport equations for a consistent description
of kinetics of dust particles and hydrodynamics of electrons, ions and neutral
atoms are obtained. In the approximation of weakly nonequilibrium process a
spectrum of collective excitations of dusty plasma is investigated in the
hydrodynamic limit.


title: Geophysical turbulence and the duality of the energy flow across scales

abstract:
  The ocean and the atmosphere, and hence the climate, are governed at large
scale by interactions between pressure gradient, Coriolis and buoyancy forces.
This leads to a quasi-geostrophic balance in which, in a two-dimensional-like
fashion, the energy injected by solar radiation, winds or tides goes to large
scales in what is known as an inverse cascade. Yet, except for Ekman friction,
energy dissipation and turbulent mixing occur at small scale implying the
formation of such scales associated with breaking of geostrophic dynamics
through wave-eddy interactions \cite{ledwell_00, vanneste_13} or frontogenesis
\cite{hoskins_72, mcwilliams_10}, in opposition to the inverse cascade. Can it
be both at the same time? We exemplify here this dual behavior of energy with
the help of three-dimensional direct numerical simulations of rotating
stratified Boussinesq turbulence. We show that efficient small-scale mixing and
large-scale coherence develop simultaneously in such geophysical and
astrophysical flows, both with constant flux as required by theoretical
arguments, thereby clearly resolving the aforementioned contradiction.


title: On Sound Compilation of Reals

abstract:
  Writing accurate numerical software is hard because of many sources of
unavoidable uncertainties, including finite numerical precision of
implementations. We present a programming model where the user writes a program
in a real-valued implementation and specification language that explicitly
includes different types of uncertainties. We then present a compilation
algorithm that generates a conventional implementation that is guaranteed to
meet the desired precision with respect to real numbers. Our verification step
generates verification conditions that treat different uncertainties in a
unified way and encode reasoning about floating-point roundoff errors into
reasoning about real numbers. Such verification conditions can be used as a
standardized format for verifying the precision and the correctness of
numerical programs. Due to their often non-linear nature, precise reasoning
about such verification conditions remains difficult. We show that current
state-of-the art SMT solvers do not scale well to solving such verification
conditions. We propose a new procedure that combines exact SMT solving over
reals with approximate and sound affine and interval arithmetic. We show that
this approach overcomes scalability limitations of SMT solvers while providing
improved precision over affine and interval arithmetic. Using our initial
implementation we show the usefullness and effectiveness of our approach on
several examples, including those containing non-linear computation.


title: Enumeration of the adjunctive hierarchy of hereditarily finite sets

abstract:
  Hereditarily finite sets (sets which are finite and have only hereditarily
finite sets as members) are basic mathematical and computational objects, and
also stand at the basis of some programming languages. This raises the need for
efficient representation of such sets, for example by numbers. In 2008, Kirby
proposed an adjunctive hierarchy of hereditarily finite sets, based on the fact
that they can also be seen as built up from the empty set by repeated
adjunction, that is, by the addition of a new single element drawn from the
already existing sets to an already existing set. Determining the cardinality
$a_n$ of each level of this hierarchy, problem crucial in establishing whether
the natural adjunctive hierarchy leads to an efficient encoding by numbers, was
left open.
  In this paper we solve this problem. Our results can be generalized to
hereditarily finite sets with atoms, or can be further refined by imposing
restrictions on rank, on cardinality, or on the maximum level from where the
new adjoined element can be drawn. We also show that $a_n$ satisfies the
asymptotic formula $a_n = C^{2^n} + O(C^{2^{n-1}})$, for a constant $C \approx
1.3399$, which is a too fast asymptotic growth for practical purposes. We thus
propose a very natural variant of the adjunctive hierarchy, whose asymptotic
behavior we prove to be $\Theta(2^n)$. To our knowledge, this is the first
result of this kind.


title: Categorification and Heisenberg doubles arising from towers of algebras

abstract:
  The Grothendieck groups of the categories of finitely generated modules and
finitely generated projective modules over a tower of algebras can be endowed
with (co)algebra structures that, in many cases of interest, give rise to a
dual pair of Hopf algebras. Moreover, given a dual pair of Hopf algebras, one
can construct an algebra called the Heisenberg double, which is a
generalization of the classical Heisenberg algebra. The aim of this paper is to
study Heisenberg doubles arising from towers of algebras in this manner. First,
we develop the basic representation theory of such Heisenberg doubles and show
that if induction and restriction satisfy Mackey-like isomorphisms then the
Fock space representation of the Heisenberg double has a natural
categorification. This unifies the existing categorifications of the polynomial
representation of the Weyl algebra and the Fock space representation of the
Heisenberg algebra. Second, we develop in detail the theory applied to the
tower of 0-Hecke algebras, obtaining new Heisenberg-like algebras that we call
quasi-Heisenberg algebras. As an application of a generalized Stone--von
Neumann Theorem, we give a new proof of the fact that the ring of
quasisymmetric functions is free over the ring of symmetric functions.


title:
Quantum interference of a single spin excitation with a macroscopic
  atomic ensemble

abstract:
  We report on the observation of quantum interference of a collective single
spin excitation with a spin ensemble of $N_{\text{atom}} =10^5$ atoms.
Detection of a single photon scattered from the atoms creates the single spin
excitation, a Fock state embedded in the collective spin of the ensemble. The
state of the atomic ensemble is then detected by tomography via a quantum
non-demolition measurement of the collective spin. A macroscopic difference of
the order of $\sqrt{N_{\text{atom}}}$ in the marginal distribution of the
collective spin state arises from the interference between the single excited
spin and $N_{\text{atom}}$ atoms. The hybrid discrete-continuous processing of
the collective spin pave the road towards generation of even more exotic states
for quantum information processing, precision measurements and communication.


title: Homogeneous Ricci Solitons are Algebraic

abstract:
  In this short note, we show that homogeneous Ricci solitons are algebraic. As
an application, we see that the generalized Alekseevskii conjecture is
equivalent to the Alekseevskii conjecture.


title:
Cluster expansion of multicomponent ionic systems with controlled
  accuracy: Importance of long-range interactions in heterovalent ionic systems

abstract:
  We have been examining factors determining the accuracy of cluster expansion
(CE), which is used in combination with many density functional theory (DFT)
calculations. With the exception of multicomponent metallic or isovalent ionic
systems, the contributions of long-range effective cluster interactions (ECIs)
to configurational energetics are not negligible, which is ascribed to
long-range electrostatic interactions. The truncation of ECIs in such systems
leads to systematic errors. A typical problem with such errors can be seen in
Monte Carlo (MC) simulations since simulation supercells composed of a larger
number of atoms than those of the input DFT structures are used. The prediction
errors for long-period structures beyond the cell size of the input DFT
structures in addition to those for short-period structures within the cell
size of the input DFT structures need to be carefully examined to control the
accuracy of CE. In the present study, we quantitatively discuss the
contribution of the truncation of long-range ECIs to the accuracy of CE. Two
types of system, namely, a point-charge spinel lattice and a real MgAl2O4
spinel crystal, are examined.


title:
Forecasting Stock Time-Series using Data Approximation and Pattern
  Sequence Similarity

abstract:
  Time series analysis is the process of building a model using statistical
techniques to represent characteristics of time series data. Processing and
forecasting huge time series data is a challenging task. This paper presents
Approximation and Prediction of Stock Time-series data (APST), which is a two
step approach to predict the direction of change of stock price indices. First,
performs data approximation by using the technique called Multilevel Segment
Mean (MSM). In second phase, prediction is performed for the approximated data
using Euclidian distance and Nearest-Neighbour technique. The computational
cost of data approximation is O(n ni) and computational cost of prediction task
is O(m |NN|). Thus, the accuracy and the time required for prediction in the
proposed method is comparatively efficient than the existing Label Based
Forecasting (LBF) method [1].


title:
On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter
  groups

abstract:
  In this paper, we investigate an equivariant homeomorphism of the boundaries
$\partial X$ and $\partial Y$ of two proper CAT(0) spaces $X$ and $Y$ on which
a CAT(0) group $G$ acts geometrically. We provide a sufficient condition and an
equivalent condition to obtain a $G$-equivariant homeomorphism of the
boundaries $\partial X$ and $\partial Y$ as a continuous extension of the
quasi-isometry $\phi:Gx_0\rightarrow Gy_0$ defined by $\phi(gx_0)=gy_0$, where
$x_0\in X$ and $y_0\in Y$. In this paper, we say that a CAT(0) group $G$ is
{\it equivariant (boundary) rigid}, if $G$ determines its ideal boundary by the
equivariant homeomorphisms as above. As an application, we introduce some
examples of (non-)equivariant rigid CAT(0) groups and we show that if Coxeter
groups $W_1$ and $W_2$ are equivariant rigid as reflection groups, then so is
$W_1 * W_2$. We also provide a conjecture on non-rigidity of boundaries of some
CAT(0) groups.


title: A spatially localized $L \log L$ estimate on the vorticity in the 3D NSE

abstract:
  The purpose of this note is to present a spatially localized $L \log L$ bound
on the vorticity in the 3D Navier-Stokes equations, assuming a very mild,
\emph{purely geometric} condition. This yields an extra-log decay of the
distribution function of the vorticity, which in turn implies \emph{breaking
the criticality} in a physically, numerically, and mathematical
analysis-motivated blow-up scenario based on vortex stretching and anisotropic
diffusion.


title: On the origin of cyclotron lines in the spectra of X-ray pulsars

abstract:
  Cyclotron resonance scattering features are observed in the spectra of some
X-ray pulsars and show significant changes in the line energy with the pulsar
luminosity. In a case of bright sources, the line centroid energy is
anti-correlated with the luminosity. Such a behaviour is often associated with
the onset and growth of the accretion column, which is believed to be the
origin of the observed emission and the cyclotron lines. However, this scenario
inevitably implies large gradient of the magnetic field strength within the
line-forming region, and it makes the formation of the observed line-like
features problematic. Moreover, the observed variation of the cyclotron line
energy is much smaller than could be anticipated for the corresponding
luminosity changes. We argue that a more physically realistic situation is that
the cyclotron line forms when the radiation emitted by the accretion column is
reflected from the neutron star surface. The idea is based on the facts that a
substantial part of column luminosity is intercepted by the neutron star
surface and the reflected radiation should contain absorption features. The
reflection model is developed and applied to explain the observed variations of
the cyclotron line energy in a bright X-ray pulsar V 0332+53 over a wide range
of luminosities.


title:
Inferring selective constraint from population genomic data suggests
  recent regulatory turnover in the human brain

abstract:
  The comparative genomics revolution of the past decade has enabled the
discovery of functional elements in the human genome via sequence comparison.
While that is so, an important class of elements, those specific to humans, is
entirely missed by searching for sequence conservation across species. Here we
present an analysis based on variation data among human genomes that utilizes a
supervised machine learning approach for the identification of human specific
purifying selection in the genome. Using only allele frequency information from
the complete low coverage 1000 Genomes Project dataset in conjunction with a
support vector machine trained from known functional and non-functional
portions of the genome, we are able to accurately identify portions of the
genome constrained by purifying selection. Our method identifies previously
known human-specific gains or losses of function and uncovers many novel
candidates. Candidate targets for gain and loss of function along the human
lineage include numerous putative regulatory regions of genes essential for
normal development of the central nervous system, including a significant
enrichment of gain of function events near neurotransmitter receptor genes.
These results are consistent with regulatory turnover being a key mechanism in
the evolution of human-specific characteristics of brain development. Finally,
we show that the majority of the genome is unconstrained by natural selection
currently, in agreement with what has been estimated from phylogenetic methods
but in sharp contrast to estimates based on transcriptomics or other
high-throughput functional methods.


title: Structured mapping problems for linearly structured matrices

abstract:
  Given an appropriate class of structured matrices S; we characterize matrices
X and B for which there exists a matrix A \in S such that AX = B and determine
all matrices in S mapping X to B. We also determine all matrices in S mapping X
to B and having the smallest norm. We use these results to investigate
structured backward errors of approximate eigenpairs and approximate invariant
subspaces, and structured pseudospectra of structured matrices.


title:
Experimental measurement methods and data on irradiation of functional
  design materials by helium ions in linear accelerator

abstract:
  The experimental research on the irradiation of the functional design
materials by the Helium ions in the linear accelerator is conducted. The
experimental measurements techniques and data on the irradiation of the
functional design materials by the Helium ions with the energy up to 4 MeV,
including the detailed scheme of experimental measurements setup, are
presented. The new design of accelerating structure of the IH-type such as
POS-4, using the method of alternate-phase focusing with the step-by-step
change of the synchronous phase along the focusing periods in a linear
accelerator, is developed with the aim to irradiate the functional design
materials by the Helium ions. The new design of the injector of the charged
Helium ions with the energy of 120 KeV at the output of an accelerating tube
and the accelerating structure of the type of POS-4 for the one time charged
Helium ions acceleration in the linear accelerator are researched and
developed. The special chamber for the irradiation of functional design
materials by the Helium ions is also created. In the process of experiment, the
temperature of a sample, the magnitude of current of Helium ions beam and the
irradiation dose of sample are measured precisely. The experimental measurement
setup and techniques are fully tested and optimized in the course of the
research on the electro-physical properties of irradiated samples and the
thermal-desorption of Helium ions in a wide range of temperatures

categories: cond-mat.mtrl-sci nucl-ex physics.acc-ph physics.ins-det


title: Pathologies in cohomology of non-paracompact Hausdorff spaces

abstract:
  We construct a non-paracompact Hausdorff space for which Cech cohomology does
not coincide with sheaf cohomology. Moreover, the sheaf of continuous
real-valued functions is neither soft nor acyclic, and our space admits
non-numerable principal bundles.


title: Max-Flows on Sparse and Dense Networks

abstract:
  In this paper, we present an improved algorithm for the maximum flow problem
on general networks with $n$ vertices and $m$ arcs. We show how to solve the
problem in $O(mn)$ time, when $m = O(n^{2-\epsilon})$, for some $0 <\epsilon
\leq 1$. This improves upon the results of both Orlin and King, et. al., who
solved the problem in $O(mn + m^{31/16} \log^2 n)$ and $O(mn\log_{m/n\log n}n)$
time, respectively. Our main result is reducing the number of nonsaturating
pushes to $O(mn)$ across all scaling phases. Our algorithm can be seen as
complementary to King, et. al., in the sense that we solve the max-flow problem
in $O(mn)$ time when $m = O(n^{2-\epsilon})$ (all sparse and non-dense
networks), whereas King, et. al. solve it in $O(mn)$ time when $m =
\Omega(n^{1+\epsilon})$ (all dense and non-sparse networks).
  Our improvement is reached by a novel combination of Ahuja and Orlin's excess
scaling method and Orlin's compact flow networks. To our knowledge, this is the
first $O(mn)$ time max-flow algorithm that runs on this range of networks.
Further, we extend the range of Orlin's $O(mn)$ time algorithm from
$O(n^{16/15-\epsilon})$ to $O(n^{2-\epsilon})$, which is an improvement of
approximately $O(n^{0.94})$. Our result also establishes that the problem can
be solved for all $n$ and $m$ using exclusively the push-relabel method. We
also give improved algorithms for parametric flows and efficiently constructing
Gomory-Hu trees, and suggest a new approach to the minimum-cost flow problem.


title: The ratio method: a new tool to study one-neutron halo nuclei

abstract:
  Recently a new observable to study halo nuclei was introduced, based on the
ratio between breakup and elastic angular cross sections. This new observable
is shown by the analysis of specific reactions to be independent of the
reaction mechanism and to provide nuclear-structure information of the
projectile. Here we explore the details of this ratio method, including the
sensitivity to binding energy and angular momentum of the projectile. We also
study the reliability of the method with breakup energy. Finally, we provide
guidelines and specific examples for experimentalists who wish to apply this
method.


title: A Polarisation Survey of Bright Extragalactic AT20G Sources

abstract:
  We present polarisation data for 180 extragalactic sources extracted from the
Australia Telescope 20 GHz (AT20G) survey catalog, and observed with the
Australia Telescope Compact Array during a dedicated, high sensitivity run. For
the sake of completeness we extracted the polarisation information for 7
extended sources from the 9-yr WMAP coadded maps at 23 GHz. The full sample of
187 sources constitutes a 99% complete sample of extragalactic sources brighter
than S(20 GHz)=500mJy at the selection epoch with declination <-30 deg. The
sample has a 91.4% detection rate in polarisation at 20GHz (94% if considering
the sub-sample of point like sources). We have measurements also at 4.8 and 8.6
GHz within 1 month of the 20GHz observations for 172 sources to reconstruct the
spectral properties of the sample in total intensity and in polarisation: 143
of them have a polarisation detection at all three frequencies. We find that
there is no statistically significant evidence of a relationship either between
the fraction of polarisation and frequency or between the fraction of
polarisation and the total intensity flux density. This indicates that Faraday
depolarisation is not very important above 4.8 GHz and that the magnetic field
is not substantially more ordered in the regions dominating the emission at
higher frequencies (up to 20 GHz). We estimate the distribution of the
polarisation fraction and the polarised flux density source counts at 20GHz.


title: A Paneitz-type operator for CR pluriharmonic functions

abstract:
  We introduce a fourth order CR invariant operator on pluriharmonic functions
on a three-dimensional CR manifold, generalizing to the abstract setting the
operator discovered by Branson, Fontana and Morpurgo. For a distinguished class
of contact forms, all of which have vanishing Hirachi-$Q$ curvature, these
operators determine a new scalar invariant with properties analogous to the
usual $Q$-curvature. We discuss how these are similar to the (conformal)
Paneitz operator and $Q$-curvature of a four-manifold, and describe its
relation to some problems for three-dimensional CR manifolds.


title: Limits of Efficiency in Sequential Auctions

abstract:
  We study the efficiency of sequential first-price item auctions at (subgame
perfect) equilibrium. This auction format has recently attracted much
attention, with previous work establishing positive results for unit-demand
valuations and negative results for submodular valuations. This leaves a large
gap in our understanding between these valuation classes. In this work we
resolve this gap on the negative side. In particular, we show that even in the
very restricted case in which each bidder has either an additive valuation or a
unit-demand valuation, there exist instances in which the inefficiency at
equilibrium grows linearly with the minimum of the number of items and the
number of bidders. Moreover, these inefficient equilibria persist even under
iterated elimination of weakly dominated strategies. Our main result implies
linear inefficiency for many natural settings, including auctions with gross
substitute valuations, capacitated valuations, budget-additive valuations, and
additive valuations with hard budget constraints on the payments. Another
implication is that the inefficiency in sequential auctions is driven by the
maximum number of items contained in any player's optimal set, and this is
tight. For capacitated valuations, our results imply a lower bound that equals
the maximum capacity of any bidder, which is tight following the upper-bound
technique established by Paes Leme et al. \cite{PaesLeme2012}.


title: Determination of Vus: Recent Input from the Lattice

abstract:
  The two most precise determinations of the CKM matrix element V_us are based
on the analyses of leptonic and semileptonic kaon decays. These studies also
rely on the lattice QCD calculations of two hadronic parameters, namely the
ratio of the kaon and pion decay constants, f_K+/f_pi+, and the kaon
semileptonic vector form factor at zero momentum transfer, f_+(0). In this
talk, I review the recent lattice results for these quantities, by showing that
the sub-percent accuracy required by the phenomenological analyses has been
reached by lattice QCD. As best estimates of the lattice calculations I quote
f_K+/f_pi+ = 1.193(4) and f_+(0)=0.965(3). I also discuss some recent
theoretical progress in the evaluation of the small, but phenomenologically
relevant, SU(2) isospin breaking corrections.


title: Mean field limit for the one dimensional Vlasov-Poisson equation

abstract:
  We consider systems of $N$ particles in dimension one, driven by pair
Coulombian or gravitational interactions. When the number of particles goes to
infinity in the so called mean field scaling, we formally expect convergence
towards the Vlasov-Poisson equation. Actually a rigorous proof of that
convergence was given by Trocheris in \cite{Tro86}. Here we shall give a
simpler proof of this result, and explain why it implies the so-called
"Propagation of molecular chaos". More precisely, both results will be a direct
consequence of a weak-strong stability result on the one dimensional
Vlasov-Poisson equation that is interesting by it own. We also prove the
existence of global solutions to the $N$ particles dynamic starting from any
initial positions and velocities, and the existence of global solutions to the
Vlasov-Poisson equation starting from any measures with bounded first moment in
velocity.


title: Single-photon frequency conversion in nonlinear crystals

abstract:
  Frequency conversion of single photons in a nonlinear crystal is
theoretically discussed. Losses and noise are included within a
Heisenberg-Langevin formalism for the propagating photon field. We calculate
the first- and second-order correlation functions of the frequency-converted
light when the input is a train of single-photon pulses. This model allows one
to identify the requirements on the nonlinear device so that it can be
integrated in a quantum network.


title:
Evaluation of the Performance/Energy Overhead in DSP Video Decoding and
  its Implications

abstract:
  Video decoding is considered as one of the most compute and energy intensive
application in energy constrained mobile devices. Some specific processing
units, such as DSPs, are added to those devices in order to optimize the
performance and the energy consumption. However, in DSP video decoding, the
inter-processor communication overhead may have a considerable impact on the
performance and the energy consumption. In this paper, we propose to evaluate
this overhead and analyse its impact on the performance and the energy
consumption as compared to the GPP decoding. Our work revealed that the GPP can
be the best choice in many cases due to the a significant overhead in DSP
decoding which may represents 30% of the total decoding energy.


title: Multiple zeta values, Pad\'e approximation and Vasilyev's conjecture

abstract:
  Sorokin gave in 1996 a new proof that pi is transcendental. It is based on a
simultaneous Pad\'e approximation problem involving certain multiple
polylogarithms, which evaluated at the point 1 are multiple zeta values equal
to powers of pi. In this paper we construct a Pad\'e approximation problem of
the same flavour, and prove that it has a unique solution up to
proportionality. At the point 1, this provides a rational linear combination of
1 and multiple zeta values in an extended sense that turn out to be values of
the Riemann zeta function at odd integers. As an application, we obtain a new
proof of Vasilyev's conjecture for any odd weight, concerning the explicit
evaluation of certain hypergeometric multiple integrals; it was first proved by
Zudilin in 2003.


title: Magnetic Neumann Laplacian on a sharp cone

abstract:
  This paper is devoted to the spectral analysis of the Laplacian with constant
magnetic field on a cone of aperture $\alpha$ and Neumann boundary condition.
We analyze the influence of the orientation of the magnetic field. In
particular, for any orientation of the magnetic field, we prove the existence
of discrete spectrum below the essential spectrum in the limit $\alpha\to 0$
and establish a full asymptotic expansion for the $n$-th eigenvalue and the
$n$-th eigenfunction.


title: Zeta Functions, Excision in Cyclic Cohomology and Index Problems

abstract:
  The aim of this paper is to show how zeta functions and excision in cyclic
cohomology may be combined to obtain index theorems. In the first part, we
obtain a local index formula for "abstract elliptic pseudodifferential
operators" associated to spectral triples. This formula is notably well adapted
when the zeta function has multiple poles. The second part is devoted to give a
concrete realization of this formula by deriving an index theorem on the
simple, but significant example of Heisenberg elliptic operators on a trivial
foliation, which are in general non-elliptic but hypoelliptic. The last part
contains a discussion on manifolds with conic singularity, more precisely about
the regularity of spectral triples in this context.


title:
On the Relaxation Behaviors of Slow and Classical Glitches:
  Observational Biases and Their Opposite Recovery Trends

abstract:
  We study the pulsar timing properties and the data analysis methods during
glitch recoveries. In some cases one first fits the time-of-arrivals (TOAs) to
obtain the "time-averaged" frequency $\nu$ and its first derivative $\dot\nu$,
and then fits models to them. However, our simulations show that $\nu$ and
$\dot\nu$ obtained this way are systematically biased, unless the time
intervals between the nearby data points of TOAs are smaller than about $10^4$
s, which is much shorter than typical observation intervals. Alternatively,
glitch parameters can be obtained by fitting the phases directly with
relatively smaller biases; but the initial recovery timescale is usually chosen
by eyes, which may introduce a strong bias. We also construct a
phenomenological model by assuming a pulsar's spin-down law of $\dot\nu\nu^{-3}
=-H_0 G(t)$ with $G(t)=1+\kappa e^{-t/\tau}$ for a glitch recovery, where $H_0$
is a constant and $\kappa$ and $\tau$ are the glitch parameters to be found.
This model can reproduce the observed data of slow glitches from B1822--09 and
a giant classical glitch of B2334+61, with $\kappa<0$ or $\kappa>0$,
respectively. We then use this model to simulate TOA data and test several
fitting procedures for a glitch recovery. The best procedure is: 1) use a very
high order polynomial (e.g. to 50th order) to precisely describe the phase; 2)
then obtain $\nu(t)$ and $\dot\nu(t)$ from the polynomial; and 3) the glitch
parameters are obtained from $\nu(t)$ or $\dot\nu(t)$. Finally, the uncertainty
in the starting time $t_0$ of a classical glitch causes uncertainties to some
glitch parameters, but less so to a slow glitch and $t_0$ of which can be
determined from data.


title:
Artificial abelian gauge potentials induced by dipole-dipole
  interactions between Rydberg atoms

abstract:
  We analyze the influence of dipole-dipole interactions between Rydberg atoms
on the generation of Abelian artificial gauge potentials and fields. When two
Rydberg atoms are driven by a uniform laser field, we show that the combined
atom-atom and atom-field interactions give rise to new, nonuniform, artificial
gauge potentials. We identify the mechanism responsible for the emergence of
these gauge potentials. Analytical expressions for the latter indicate that the
strongest artificial magnetic fields are reached in the regime intermediate
between the dipole blockade regime and the regime in which the atoms are
sufficiently far apart such that atom-light interaction dominates over
atom-atom interactions. We discuss the differences and similarities of
artificial gauge fields originating from resonant dipole-dipole and van der
Waals interactions. We also give an estimation of experimentally attainable
artificial magnetic fields resulting from this mechanism and we discuss their
detection through the deflection of the atomic motion.