title: Radiative Mechanisms in GRB prompt emission

abstract:
  Motivated by the Fermi gamma-ray space telescope results, in recent years
immense efforts were given to understanding the mechanism that leads to the
prompt emission observed. The failure of the optically thin emission models
(synchrotron and synchrotron self Compton) increased interest in alternative
models. Optically thick models, while having several advantages, also face
difficulty in capturing several key observables. Theoretical efforts are
focused in two main directions: (1) mechanisms that act to broaden the Planck
spectrum; and (2) combining the optically thin and optically thick models to a
hybrid model that could explain the key observables.


title: Consistency tests for Planck and WMAP in the low multipole domain

abstract:
  Recently, full sky maps from Planck have been made publicly available. In
this paper, we do consistency tests for the three Planck CMB sky maps. We
assume that the difference between two maps represents the contributions from
systematics, noise, foregrounds and other sources, and that a precise
representation of the Cosmic Microwave Background should be uncorrelated with
it. We investigate the cross correlation in pixel space between the difference
maps and the various Planck maps and find no significant correlations, in
comparison to 10000 random Gaussian simulated maps. Additionally we investigate
the difference map between the WMAP ILC 9 year map and the ILC 7 year map. We
perform cross correlations between this difference map, and the ILC9 and ILC7,
and find significant correlations only for the ILC9, at more than the 99.99%
level. Likewise, a comparison between the Planck NILC map and the WMAP ILC9
map, shows a strong correlation for the ILC9 map with the difference map, also
at more than the 99.99% level. Thus the ILC9 appears to be more contaminated
than the ILC7, which should be taken into consideration when using WMAP maps
for cosmological analyses.


title: Another Sierpinski object in BFTS

abstract:
  We identify a Sierpinski object in the category of fuzzy bitopological
spaces, which is different from the two Sierpinski objects in this category,
obtained earlier by Khastgir and Srivastava ['On two epireflective
subcategories of the category of 2$T_0$-fuzzy bitopological spaces',
Quaestiones Mathematicae, 23 (2000) 163-177].


title:
Comparative study of magnetic and magnetotransport properties of
  Sm0.55Sr0.45MnO3 thin films grown on different substrates

abstract:
  Highly oriented polycrystalline SSMO thin films deposited on single crystal
substrates by ultrasonic nebulized spray pyrolysis have been studied. The film
on LAO is under compressive strain while LSAT and STO are under tensile strain.
The presence of a metamagnetic state akin to cluster glass formed due to
coexisting FM and antiferromagnetic/charge order (AFM/CO) clusters. All the
films show colossal magnetoresistance but its temperature and magnetic field
dependence are drastically different. In the lower temperature region the
magnetic field dependent isothermal resistivity also shows signature of
metamagnetic transitions. The observed results have been explained in terms of
the variation of the relative fractions of the coexisting FM and AFM/CO phases
as a function of the substrate induced strain and oxygen vacancy induced
quenched disorder.


title:
Lattice BGK kinetic model for high speed compressible flows:
  hydrodynamic and nonequilibrium behaviors

abstract:
  We present a simple and general approach to formulate the lattice BGK model
for high speed compressible flows. The main point consists of two parts: an
appropriate discrete equilibrium distribution function (DEDF) $\mathbf{f}^{eq}$
and a discrete velocity model with flexible velocity size. The DEDF is obtained
by $\mathbf{f}^{eq}=\mathbf{C}^{-1}\mathbf{M}$, where $\mathbf{M}$ is a set of
moment of the Maxwellian distribution function, and $\mathbf{C}$ is the matrix
connecting the DEDF and the moments. The numerical components of $\mathbf{C}$
are determined by the discrete velocity model. The calculation of
$\mathbf{C}^{-1}$ is based on the analytic solution which is a function of the
parameter controlling the sizes of discrete velocity. The choosing of discrete
velocity model has a high flexibility. The specific heat ratio of the system
can be flexible. The approach works for the one-, two- and three-dimensional
model constructions. As an example, we compose a new lattice BGK kinetic model
which works not only for recovering the Navier-Stokes equations in the
continuum limit but also for measuring the departure of system from its
thermodynamic equilibrium. Via adjusting the sizes of the discrete velocities
the stably simulated Mach number can be significantly increased up to 30 or
even higher. The model is verified and validated by well-known benchmark tests.
Some macroscopic behaviors of the system due to deviating from thermodynamic
equilibrium around the shock wave interfaces are shown.


title: $Tb$ theorem on product spaces

abstract:
  In this paper, we prove a $Tb$ theorem on product spaces $\Bbb R^n\times \Bbb
R^m$, where $b(x_1,x_2)=b_1(x_1)b_2(x_2)$, $b_1$ and $b_2$ are para-accretive
functions on $\Bbb R^n$ and $\Bbb R^m$, respectively.


title:
Air Dominance in Sensor Networks: Guarding Sensor Motes using Selective
  Interference

abstract:
  Securing wireless sensor networks (WSNs) is a hard problem. In particular,
network access control is notoriously difficult to achieve due to the inherent
broadcast characteristics of wireless communications: an attacker can easily
target any node in its transmission range and affect large parts of a sensor
network simultaneously. In this paper, we therefore propose a distributed
guardian system to protect a WSN based on physically regulating channel access
by means of selective interference. The guardians are deployed alongside a
sensor network, inspecting all local traffic, classifying packets based on
their content, and destroying any malicious packet while still on the air. In
that sense, the system tries to gain "air dominance" over attackers. A key
challenge in implementing the guardian system is the resulting real-time
requirement in order to classify and destroy packets during transmission. We
present a USRP2 software radio based guardian implementation for IEEE 802.15.4
that meets this challenge; using an FPGA-based design we can even check for the
content of the very last payload byte of a packet and still prevent its
reception by a potential victim mote. Our evaluation shows that the guardians
effectively block 99.9% of unauthorized traffic in 802.15.4 networks in our
experiments, without disturbing the legitimate operations of the WSN.


title:
Global axis shape of magnetic clouds deduced from the distribution of
  their local axis orientation

abstract:
  Coronal mass ejections (CMEs) are routinely tracked with imagers in the
interplanetary space while magnetic clouds (MCs) properties are measured
locally by spacecraft. However, both imager and insitu data do not provide
direct estimation on the global flux rope properties. The main aim of this
study is to constrain the global shape of the flux rope axis from local
measurements, and to compare the results from in-situ data with imager
observations. We perform a statistical analysis of the set of MCs observed by
WIND spacecraft over 15 years in the vicinity of Earth. With the hypothesis of
having a sample of MCs with a uniform distribution of spacecraft crossing along
their axis, we show that a mean axis shape can be derived from the distribution
of the axis orientation. In complement, while heliospheric imagers do not
typically observe MCs but only their sheath region, we analyze one event where
the flux-rope axis can be estimated from the STEREO imagers. From the analysis
of a set of theoretical models, we show that the distribution of the local axis
orientation is strongly affected by the global axis shape. Next, we derive the
mean axis shape from the integration of the observed orientation distribution.
This shape is robust as it is mostly determined from the global shape of the
distribution. Moreover, we find no dependence on the flux-rope inclination on
the ecliptic. Finally, the derived shape is fully consistent with the one
derived from heliospheric imager observations of the June 2008 event. We have
derived a mean shape of MC axis which only depends on one free parameter, the
angular separation of the legs (as viewed from the Sun). This mean shape can be
used in various contexts such as the study of high energy particles or space
weather forecast.


title: Q-SOB as an epireflecive hull in Q-$TOP_0$

abstract:
  We show that the epireflective hull of the Q-Sierpinski space in the category
Q-$TOP_0$ of $T_0$ Q-topological spaces is the category Q-SOB of Q-sober
topological spaces.


title: Complexity of multidimensional hydrogenic systems

abstract:
  The Cram\'er-Rao, Fisher-Shannon and LMC shape complexity measures have been
recently shown to play a relevant role to study the internal disorder of finite
many-body systems (e.g., atoms, molecules, nuclei). They highlight amongst the
bunch of complexities appeared in the literature by their mathematical
simplicity and transparent physical interpretation. They are composed by two
spreading measures (variance, Fisher information and Shannon entropies) of the
single-particle probability density of the systems. Here we discuss the
physico-mathematical knowledge of these two-component complexities for
hydrogenic systems with standard ($D = 3$) and non-standard dimensionalities.
These systems include not only the hydrogen atom and its isoelectronic series
but also a large diversity of quantum systems such as, e.g. exotic atoms,
antimatter atoms, some qubits systems and Rydberg atoms, ions and molecules.


title:
Ghost modes and continuum scattering in the dimerized distorted kagome
  lattice antiferromagnet Rb$_2$Cu$_3$SnF$_{12}$

abstract:
  High intensity pulsed neutron scattering reveals a new set of magnetic
excitations in the pinwheel valence bond solid state of the distorted kagome
lattice antiferromagnet Rb$_2$Cu$_3$SnF$_{12}$. The polarization of the
dominant dispersive modes (2 meV $<\hbar\omega< $7 meV) is determined and found
consistent with a dimer series expansion with strong Dzyaloshinskii-Moriya
interactions ($D/J=0.18$). A weakly dispersive mode near 5 meV and shifted
"ghosts" of the main modes are attributed to the enlarged unit cell below a
$T=215$ K structural transition. Continuum scattering between 8 meV and 10 meV
might be interpreted as a remnant of the kagome spinon continuum [T.-H. Han et
al., Nature 492, 406 (2012)]


title: Information Exchange via Surface Modified Resonance Energy Transfer

abstract:
  The theory is presented for resonance interaction between two atoms in an
excited configuration: one atom, the "receptor" of information (i.e. energy),
adsorbed on a phospholipid surface and the other atom, the "emitter" of
information (i.e. energy), a long distance away. The dielectric function for a
specific phospholipid membrane is obtained from density functional theory
calculations. We present numerical results comparing the range and magnitude of
non-specific Casimir-Polder interactions with the much more long-ranged, and
highly specific, resonance interaction. A study of the resonance interaction
with one or both atoms adsorbed on a phospholipid membrane surface reveals a
possibility to have a cross over from attraction to repulsion or from repulsion
to attraction at separations between receptor and emitter atoms exceeding
several hundred {\AA}ngstr\"oms. The energy transfer and the observed
transitions in the sign of the interaction energies near surfaces provide
potential new ways to start recognition processes in biological systems.


title: Low-dimensional dynamics of populations of pulse-coupled oscillators

abstract:
  Large communities of biological oscillators show a prevalent tendency to
self-organize in time. This cooperative phenomenon inspired Winfree to
formulate a mathematical model that originated the theory of macroscopic
synchronization. Despite its fundamental importance, a complete mathematical
analysis of the model proposed by Winfree ---consisting of a large population
of all-to-all pulse-coupled oscillators--- is still missing. Here we show that
the dynamics of the Winfree model evolves into the so-called Ott-Antonsen
manifold. This important property allows for an exact description of this
high-dimensional system in terms of a few macroscopic variables, and the full
investigation of its dynamics. We find that brief pulses are capable of
synchronizing heterogeneous ensembles which fail to synchronize with broad
pulses, specially for certain phase response curves. Finally, to further
illustrate the potential of our results, we investigate the possibility of
`chimera' states in populations of identical pulse-coupled oscillators.
Chimeras are self-organized states in which the symmetry of a population is
broken into a synchronous and an asynchronous part. Here we derive three
ordinary differential equations describing two coupled populations, and uncover
a variety of chimera states, including a new class with chaotic dynamics.


title:
Signature Generation for Sensitive Information Leakage in Android
  Applications

abstract:
  In recent years, there has been rapid growth in mobile devices such as
smartphones, and a number of applications are developed specifically for the
smartphone market. In particular, there are many applications that are ``free''
to the user, but depend on advertisement services for their revenue. Such
applications include an advertisement module - a library provided by the
advertisement service - that can collect a user's sensitive information and
transmit it across the network. Users accept this business model, but in most
cases the applications do not require the user's acknowledgment in order to
transmit sensitive information. Therefore, such applications' behavior becomes
an invasion of privacy. In our analysis of 1,188 Android applications' network
traffic and permissions, 93% of the applications we analyzed connected to
multiple destinations when using the network. 61% required a permission
combination that included both access to sensitive information and use of
networking services. These applications have the potential to leak the user's
sensitive information. In an effort to enable users to control the transmission
of their private information, we propose a system which, using a novel
clustering method based on the HTTP packet destination and content distances,
generates signatures from the clustering result and uses them to detect
sensitive information leakage from Android applications. Our system does not
require an Android framework modification or any special privileges. Thus users
can easily introduce our system to their devices, and manage suspicious
applications' network behavior in a fine grained manner. Our system accurately
detected 94% of the sensitive information leakage from the applications
evaluated and produced only 5% false negative results, and less than 3% false
positive results.


title:
Evolution of antibaryon abundances in the early Universe and in
  heavy-ion collisions

abstract:
  We study the kinetics of antibaryon production and annihilation in an
expanding system, assuming that it is spatially homogeneous and chemically
equilibrated at the initial stage. By solving simplified rate equations for
(anti)baryon abundances we study the deviations from chemical equilibrium at
late stages. The calculations are done for different expansion rates and
net-baryon-to-entropy ratios, covering the conditions from early Universe to
heavy-ion collisions. Our analysis includes both stable (anti)baryons and
resonances. We conclude that residual antibaryon abundances are very sensitive
to the time scales of expansion. Our calculations naturally explain noticeable
deviations of antiproton-to-pion and proton-to-pion ratios observed in nuclear
collisions at the LHC energy from the thermal model predictions. We conclude
that at high bombarding energies the chemical freeze-out of (anti)baryons
should occur at lower temperatures as compared to mesons.


title: Rank metric and Gabidulin codes in characteristic zero

abstract:
  We transpose the theory of rank metric and Gabidulin codes to the case of
fields of characteristic zero. The Frobenius automorphism is then replaced by
any element of the Galois group. We derive some conditions on the automorphism
to be able to easily transpose the results obtained by Gabidulin as well and a
classical polynomial-time decoding algorithm. We also provide various
definitions for the rank-metric.


title:
Molecular modelling and simulation of electrolyte solutions,
  biomolecules, and wetting of component surfaces

abstract:
  Massively-parallel molecular dynamics simulation is applied to systems
containing electrolytes, vapour-liquid interfaces, and biomolecules in contact
with water-oil interfaces. Novel molecular models of alkali halide salts are
presented and employed for the simulation of electrolytes in aqueous solution.
The enzymatically catalysed hydroxylation of oleic acid is investigated by
molecular dynamics simulation taking the internal degrees of freedom of the
macromolecules into account. Thereby, Ewald summation methods are used to
compute the long range electrostatic interactions. In systems with a phase
boundary, the dispersive interaction, which is modelled by the Lennard-Jones
potential here, has a more significant long range contribution than in
homogeneous systems. This effect is accounted for by implementing the Janecek
cutoff correction scheme. On this basis, the HPC infrastructure at the
Steinbuch Centre for Computing was accessed and efficiently used, yielding new
insights on the molecular systems under consideration.

categories: cond-mat.soft cond-mat.mes-hall cs.CE physics.comp-ph


title: Lattice QCD analysis of the Polyakov loop in terms of Dirac eigenmodes

abstract:
  Using the Dirac-mode expansion method, which keeps the gauge invariance, we
analyze the Polyakov loop in terms of the Dirac modes in SU(3) quenched lattice
QCD in both confined and deconfined phases. First, to investigate the direct
correspondence between confinement and chiral symmetry breaking, we remove
low-lying Dirac-modes from the confined vacuum generated by lattice QCD. In
this system without low-lying Dirac modes, while the chiral condensate $\langle
\bar{q} q\rangle$ is extremely reduced, we find that the Polyakov loop is
almost zero and $Z_3$-center symmetry is unbroken, which indicates quark
confinement. We also investigate the removal of ultraviolet (UV) Dirac-modes,
and find that the Polyakov loop is almost zero. Second, we deal with the
deconfined phase above $T_c$, and find that the behaviors of the Polyakov loop
and $Z_3$-symmetry are not changed without low-lying or UV Dirac-modes.
Finally, we develop a new method to remove low-lying Dirac modes from the
Polyakov loop for a larger lattice of $12^3 \times 4$ at finite temperature,
and find almost the same results. These results suggest that each eigenmode has
the information of confinement, i.e., the "seed" of confinement is distributed
in a wider region of the Dirac eigenmodes unlike chiral symmetry breaking, and
there is no direct correspondence between confinement and chiral symmetry
breaking through Dirac-eigenmodes.


title:
An approach for the detection of point-sources in very high resolution
  microwave maps

abstract:
  This paper deals with the detection problem of extragalactic point-sources in
multi-frequency, microwave sky maps that will be obtainable in future cosmic
microwave background radiation (CMB) experiments with instruments capable of
very high spatial resolution. With spatial resolutions that can be of order of
0.1-1.0 arcsec or better, the extragalactic point-sources will appear isolated.
The same holds also for the compact structures due to the Sunyaev-Zeldovich
(SZ) effect (both thermal and kinetic). This situation is different from the
maps obtainable with instruments as WMAP or PLANCK where, because of the
smaller spatial resolution (approximately 5-30 arcmin), the point-sources and
the compact structures due to the SZ effect form a uniform noisy background
(the "confusion noise"). Hence, the point-source detection techniques developed
in the past are based on the assumption that all the emissions that contribute
to the microwave background can be modeled with homogeneous and isotropic
(often Gaussian) random fields and make use of the corresponding spatial
power-spectra. In the case of very high resolution observations such an
assumption cannot be adopted since it still holds only for the CMB. Here, we
propose an approach based on the assumption that the diffuse emissions that
contribute to the microwave background can be locally approximated by
two-dimensional low order polynomials. In particular, two sets of numerical
techniques are presented containing two different algorithms each. The
performance of the algorithms is tested with numerical experiments that mimic
the physical scenario expected for high Galactic latitude observations with the
Atacama Large Millimeter/Submillimeter Array (ALMA).


title: Helix untwisting and bubble formation in circular DNA

abstract:
  The base pair fluctuations and helix untwisting are examined for a circular
molecule. A realistic mesoscopic model including twisting degrees of freedom
and bending of the molecular axis is proposed. The computational method, based
on path integral techniques, simulates a distribution of topoisomers with
various twist numbers and finds the energetically most favorable molecular
conformation as a function of temperature. The method can predict helical
repeat, openings loci and bubble sizes for specific sequences in a broad
temperature range. Some results are presented for a short DNA circle recently
identified in mammalian cells.

categories: q-bio.BM cond-mat.soft physics.bio-ph physics.chem-ph


title:
Heavy Antiquark--Diquark Symmetry and Heavy Hadron Molecules: Are There
  Triply Heavy Pentaquarks?

abstract:
  We explore the consequences of heavy flavour, heavy quark spin and heavy
antiquark-diquark symmetries for hadronic molecules within an effective field
theory framework.. Owing to heavy antiquark-diquark symmetry, the doubly heavy
baryons have approximately the same light-quark structure as the heavy
antimesons. As a consequence, the existence of a heavy meson-antimeson molecule
implies the possibility of a partner composed of a heavy meson and a
doubly-heavy baryon. In this regard, the D\bar D* molecular nature of the
X(3872) will hint at the existence of several baryonic partners with isospin
I=0 and J^P = 5/2^- or 3/2^-. Moreover, if the Zb(10650) turns out to be a
B*\bar B* bound state, we can be confident of the existence of \Xibb* \bar B*
hadronic molecules with quantum numbers I(J^P) = 1(1/2^-) and I(J^P) =
1(3/2^-). These states are of special interest since they can be considered to
be triply-heavy pentaquarks.


title:
The standard flare model in three dimensions III. Slip-running
  reconnection properties

abstract:
  A standard model for eruptive flares aims at describing observational 3D
features of the reconnecting coronal magnetic field. Extensions to the 2D model
require the physical understanding of 3D reconnection processes at the origin
of the magnetic configuration evolution. However, the properties of 3D
reconnection without null point and separatrices still need to be analyzed. We
focus on magnetic reconnection associated with the growth and evolution of a
flux rope and associated flare loops during an eruptive flare. We aim at
understanding the intrinsic characteristics of 3D reconnection in the presence
of quasi-separatrix layers (QSLs), how QSL properties are related to the
slip-running reconnection mode in general, and how this applies to eruptive
flares in particular. We studied the slip-running reconnection of field lines
in a magnetohydrodynamic simulation of an eruptive flare associated with a
torus-unstable flux rope. Field lines associated with the flux rope and the
flare loops undergo a continuous series of magnetic reconnection, which results
in their super-Alfvenic slipping motion. The time profile of their slippage
speed and the space distribution of the mapping norm are shown to be strongly
correlated. We find that the motion speed is proportional to the mapping norm.
Moreover, this slip-running motion becomes faster as the flux rope expands,
since the 3D current layer evolves toward a current sheet, and QSLs to
separatrices. The present analysis extends our understanding of the 3D
slip-running reconnection regime. We identified a controlling parameter of the
apparent velocity of field lines while they slip-reconnect, enabling the
interpretation of the evolution of post flare loops. This work completes the
standard model for flares and eruptions by giving its 3D properties.


title: Data Quality Principles in the Semantic Web

abstract:
  The increasing size and availability of web data make data quality a core
challenge in many applications. Principles of data quality are recognized as
essential to ensure that data fit for their intended use in operations,
decision-making, and planning. However, with the rise of the Semantic Web, new
data quality issues appear and require deeper consideration. In this paper, we
propose to extend the data quality principles to the context of Semantic Web.
Based on our extensive industrial experience in data integration, we identify
five main classes suited for data quality in Semantic Web. For each class, we
list the principles that are involved at all stages of the data management
process. Following these principles will provide a sound basis for better
decision-making within organizations and will maximize long-term data
integration and interoperability.


title: Schur multipliers of unitriangular groups

abstract:
  An explicit formula for the Schur multiplier of the group of unitriangular
matrices over products of cyclic rings $\ZZ/m\ZZ$ and $\ZZ$ is derived. We use
it to provide presentations of the corresponding covering groups and touch upon
the question of finding their nonisomorphic representatives.


title: Electronic- and band-structure evolution in low-doped (Ga,Mn)As

abstract:
  Modulation photoreflectance spectroscopy and Raman spectroscopy have been
applied to study the electronic- and band-structure evolution in (Ga,Mn)As
epitaxial layers with increasing Mn doping in the range of low Mn content, up
to 1.2%. Structural and magnetic properties of the layers were characterized
with high-resolution X-ray diffractometry and SQUID magnetometery,
respectively. The revealed results of decrease in the band-gap transition
energy with increasing Mn content in very low-doped (Ga,Mn)As layers with
n-type conductivity are interpreted as a result of merging the Mn-related
impurity band with the host GaAs valence band. On the other hand, an increase
in the band-gap-transition energy with increasing Mn content in (Ga,Mn)As
layers with higher Mn content and p-type conductivity indicates the
Moss-Burstein shift of the absorption edge due to the Fermi level location
within the valence band, determined by the free-hole concentration. The
experimental results are consistent with the valence-band origin of mobile
holes mediated ferromagnetic ordering in the (Ga,Mn)As diluted ferromagnetic
semiconductor.


title:
The functional mechanics: evolution of the moments of distribution
  function and the Poincare recurrence theorem

abstract:
  This paper consider the functional mechanics as one of modern approaches to a
problem of the correspondence between classical mechanics and the statistical
physics. Deviations from classical trajectories are calculated and evolution of
the moments of distribution function is constructed. The relation between the
received results and absence of paradox of Poincare-Zermelo in the functional
mechanics is discussed. Destruction of periodicity of movement in the
functional mechanics is shown and decrement of attenuation for classical
invariants of movement on a trajectory of functional mechanical averages is
calculated.


title: Limit theorems for continuous time random walks with continuous paths

abstract:
  The continuous time random walks (CTRWs) are typically defned in the way that
their trajectories are discontinuous step fuctions. This may be a unwellcome
feature from the point of view of application of theese processes to model
certain physical phenomena. In this article we propose alternative definition
of continuous time random walks with continuous trajectories. We also give the
functional limit theorem for sequence of such random walks. This result
requires the use of strong Skorohod M1 topology instead of Skorohod J1
topology, which is usually used in limit theorems for ordinary CTRW processes.


title: Irreducible representations of untwisted affine Kac-Moody algebras

abstract:
  In this paper we construct a class of new irreducible modules over untwisted
affine Kac-Moody algebras $\widetilde{\mathfrak{g}}$, generalizing and
including both highest weight modules and Whittaker modules. These modules
allow us to obtain a complete classification of irreducible
$\widetilde{\mathfrak{g}}$-modules on which the action of each root vector in
$\widetilde{\mathfrak{n}}_+$ is locally finite, where
$\widetilde{\mathfrak{n}}_+$ is the locally nilpotent subalgebra (or positive
part) of $\widetilde{\mathfrak{g}}$. The necessary and sufficient conditions
for two such irreducible $\widetilde{\mathfrak{g}}$-modules to be isomorphic
are also determined. In the second part of the paper, we use the "shifting
technique" to obtain a necessary and sufficient condition for the tensor
product of irreducible integrable loop $\widetilde{\mathfrak{g}}$-modules and
irreducible integrable highest weight $\widetilde{\mathfrak{g}}$-modules to be
simple. This tensor product problem was originally studied by Chari and
Pressley 28 years ago.


title:
Exact expressions for the mobility and electrophoretic mobility of a
  weakly charged sphere in a simple electrolyte

abstract:
  We present (asymptotically) exact expressions for the mobility and
electrophoretic mobility of a weakly charged spherical particle in an $1:1$
electrolyte solution. This is done by analytically solving the electro and
hydrodynamic equations governing the electric potential and fluid flow with
respect to an electric field and a nonelectric force. The resulting formulae
are cumbersome, but fully explicit and trivial for computation. In the case of
a very small particle compared to the Debye screening length ($R \ll r_D$) our
results reproduce proper limits of the classical Debye and Onsager theories,
while in the case of a very large particle ($R \gg r_D$) we recover, both, the
non-monotonous charge dependence discovered by Levich (1958) as well as the
scaling estimate given by Long, Viovy, and Ajdari (1996), while adding the
previously unknown coefficients and corrections. The main applicability
condition of our solution is charge smallness in the sense that screening
remains linear.


title: Matching Squark Pair Production at NLO with Parton Showers

abstract:
  The pair production of squarks is one of the main search channels for
supersymmetry at the LHC. We present a fully differential calculation of the
next-to-leading order (NLO) SUSY-QCD corrections to the on-shell production of
a pair of squarks in the Minimal Supersymmetric Standard Model (MSSM),
supplemented by the leading-order decay of the squarks to the lightest
neutralino and a quark. In addition, we use the Powheg method to match our NLO
calculation with parton showers. To this end, the process was implemented in
the Powheg-Box framework and interfaced with Pythia6 and Herwig++. We study the
differential scale dependence and K-factors, and investigate the effects of the
parton showers for a benchmark scenario in the constrained MSSM.


title:
A new acoustic lens material for large area detectors in photoacoustic
  breast tomography

abstract:
  Acoustic lenses made of acrylic plastic (PMMA) have been used to enlarge the
acceptance angle of sensitive large surface area detectors and improve lateral
resolution. However, PMMA lenses introduce image artifacts due to ultrasound
internal reflections within the lenses. In this work we investigated this issue
proposing a new lens material Stycast 1090SI. We characterized the acoustic
properties of the proposed material in comparison with PMMA. Detector
performance using negative lenses with the two materials, was tested using
finite element simulation and experiment. Further the image quality of a
photoacoustic tomography system was studied using k-Wave simulation and
experiment. Our acoustic characterization showed that Stycast 1090SI has
tissue-like acoustic impedance, high speed of sound and low acoustic
attenuation. Both acoustic lenses show significant enlargement of detector
acceptance angle and lateral resolution improvement. However, image artifacts
induced by acoustic lenses are reduced using the proposed lens compared to PMMA
lens.


title: Group ring cryptography: Cryptography, key exchange, public key

abstract:
  General cryptographic schemes are presented where keys can be one-time or
ephemeral. Processes for key exchange are derived. Public key cryptographic
schemes based on the new systems are easily established. Authentication and
signature schemes are implemented. The schemes are an advance on group ring
techniques and are easily implemented but highly secure. They may be integrated
with error-correcting coding schemes so that encryption/coding and
decryption/decoding may be done simultaneously.


title:
Font Acknowledgment and Character Extraction of Digital and Scanned
  Images

abstract:
  The font recognition and character extraction is of immense importance as
these are many scenarios where data are in such a form, which cannot be
processed like in image form or as a hard copy. So the procedure developed in
this paper is basically related to identifying the font (Times New Roman, Arial
and Comic Sans MS) and afterwards recovering the text using simple correlation
based method where the binary templates are correlated to the input image text
characters. All of this extraction is done in the presence of a little noise as
images may have noisy patterns due to photocopying. The significance of this
method exists in extraction of data from various monitoring (Surveillance)
camera footages or even more. The method is developed on Matlab\c{opyright}
which takes input image and recovers text and font information from it in a
text file.


title:
The influence of the Chi_b(3P) state on the decay cascade of bottomium
  in PbPb collisions at LHC energies

abstract:
  We investigate the decay cascade of the Upsilon(nS) meson including the newly
found Chi_b(3P) state in pp and PbPb collisions at LHC energies. The main goal
is to quantitatively determine the additional suppression of the Upsilon(nS)
states in PbPb collisions relative to pp at LHC energies of sqrt(s_NN) = 2.76
TeV when the Chi_b(3P) state is included together with the Upsilon(nS) and
Chi_b(1P,2P) states. It is found that the suppression of Upsilon(1S) in PbPb
collisions relative to pp is increased by at most 7% through the inclusion of
Chi_b(3P), whereas the suppression factors for the Upsilon(2S) and Upsilon(3S)
states do not change significantly.


title:
Spectral gap for stochastic energy exchange model with nonuniformly
  positive rate function

abstract:
  We give a lower bound on the spectral gap for a class of stochastic energy
exchange models. In 2011, Grigo et al. introduced the model and showed that,
for a class of stochastic energy exchange models with a uniformly positive rate
function, the spectral gap of an $N$-component system is bounded from below by
a function of order $N^{-2}$. In this paper, we consider the case where the
rate function is not uniformly positive. For this case, the spectral gap
depends not only on $N$ but also on the averaged energy $\mathcal{E}$, which is
the conserved quantity under the dynamics. Under some assumption, we obtain a
lower bound of the spectral gap which is of order $C(\mathcal{E})N^{-2}$ where
$C(\mathcal{E})$ is a positive constant depending on $\mathcal {E}$. As a
corollary of the result, a lower bound of the spectral gap for the mesoscopic
energy exchange process of billiard lattice studied by Gaspard and Gilbert [J.
Stat. Mech. Theory Exp. 2008 (2008) p11021, J. Stat. Mech. Theory Exp. 2009
(2009) p08020] and the stick process studied by Feng et al. [Stochastic
Process. Appl. 66 (1997) 147-182] are obtained.


title: The EUROnu Project

abstract:
  The EUROnu project has studied three possible options for future, high
intensity neutrino oscillation facilities in Europe. The first is a Super Beam,
in which the neutrinos come from the decay of pions created by bombarding
targets with a 4 MW proton beam from the CERN High Power Superconducting Proton
Linac. The far detector for this facility is the 500 kt MEMPHYS water
Cherenkov, located in the Fr\'ejus tunnel. The second facility is the Neutrino
Factory, in which the neutrinos come from the decay of {\mu}+ and {\mu}- beams
in a storage ring. The far detector in this case is a 100 kt Magnetised Iron
Neutrino Detector at a baseline of 2000 km. The third option is a Beta Beam, in
which the neutrinos come from the decay of beta emitting isotopes, in
particular 6He and 18Ne, also stored in a ring. The far detector is also the
MEMPHYS detector in the Fr\'ejus tunnel. EUROnu has undertaken conceptual
designs of these facilities and studied the performance of the detectors. Based
on this, it has determined the physics reach of each facility, in particular
for the measurement of CP violation in the lepton sector, and estimated the
cost of construction. These have demonstrated that the best facility to build
is the Neutrino Factory. However, if a powerful proton driver is constructed
for another purpose or if the MEMPHYS detector is built for astroparticle
physics, the Super Beam also becomes very attractive.


title: Large gaps between consecutive zeros of the Riemann zeta-function. II

abstract:
  Assuming the Riemann Hypothesis we show that there exist infinitely many
consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9
times the average spacing.


title:
Detection system for forward emitted photons at the Experimental Storage
  Ring at GSI

abstract:
  A single photon counting system has been developed for efficient detection of
forward emitted fluorescence photons at the Experimental Storage Ring (ESR) at
GSI. The system employs a movable parabolic mirror with a central slit that can
be positioned around the ion beam and a selected low noise photomultiplier for
detection of the collected photons. Compared to the previously used system of
mirror segments installed inside the ESR the collection efficiency for
forward-emitted photons is improved by more than a factor of 5. No adverse
effects on the stored ion beam have been observed during operation besides a
small drop in the ion current of about 5% during movement of the mirror into
the beam position. The new detection system has been used in the LIBELLE
experiment at ESR and enabled for the first time the detection of the
ground-state hyperfine M1 transition in lithium-like bismuth (209Bi80+) in a
laser-spectroscopy measurement.


title:
Super Earths and Dynamical Stability of Planetary Systems: First
  Parallel GPU Simulations Using GENGA

abstract:
  We report on the stability of hypothetical Super-Earths in the habitable zone
of known multi-planetary systems. Most of them have not yet been studied in
detail concerning the existence of additional low-mass planets. The new N-body
code GENGA developed at the UZH allows us to perform numerous N-body
simulations in parallel on GPUs. With this numerical tool, we can study the
stability of orbits of hypothetical planets in the semi-major axis and
eccentricity parameter space in high resolution. Massless test particle
simulations give good predictions on the extension of the stable region and
show that HIP 14180 and HD 37124 do not provide stable orbits in the habitable
zone. Based on these simulations, we carry out simulations of 10 Earth mass
planets in several systems (HD 11964, HD 47186, HD 147018, HD 163607, HD
168443, HD 187123, HD 190360, HD 217107 and HIP 57274). They provide more exact
information about orbits at the location of mean motion resonances and at the
edges of the stability zones. Beside the stability of orbits, we study the
secular evolution of the planets to constrain probable locations of
hypothetical planets. Assuming that planetary systems are in general closely
packed, we find that apart from HD 168443, all of the systems can harbor 10
Earth mass planets in the habitable zone.


title: Several Approaches to Break the Curse of Dimensionality

abstract:
  In modern science the efficient numerical treatment of high-dimensional
problems becomes more and more important. A fundamental insight of the theory
of information-based complexity (IBC for short) is that the computational
hardness of a problem can not be described properly only by the rate of
convergence. There exist problems for which an exponential number of
information operations is needed in order to reduce the initial error, although
there are algorithms which provide an arbitrary large rate of convergence.
Problems that yield this exponential dependence are said to suffer from the
curse of dimensionality. While analyzing numerical problems it turns out that
we can often vanquish this curse by exploiting additional structural
properties. The aim of this thesis is to present several approaches of this
type. Moreover, a detailed introduction to the field of IBC is given.


title: Onsager's Wien Effect on a Lattice

abstract:
  The Second Wien Effect describes the non-linear, non-equilibrium response of
a weak electrolyte in moderate to high electric fields. Onsager's 1934
electrodiffusion theory along with various extensions has been invoked for
systems and phenomena as diverse as solar cells, surfactant solutions, water
splitting reactions, dielectric liquids, electrohydrodynamic flow, water and
ice physics, electrical double layers, non-Ohmic conduction in semiconductors
and oxide glasses, biochemical nerve response and magnetic monopoles in spin
ice. In view of this technological importance and the experimental ubiquity of
such phenomena, it is surprising that Onsager's Wien effect has never been
studied by numerical simulation. Here we present simulations of a lattice
Coulomb gas, treating the widely applicable case of a double equilibrium for
free charge generation. We obtain detailed characterisation of the Wien effect
and confirm the accuracy of the analytical theories as regards the field
evolution of the free charge density and correlations. We also demonstrate that
simulations can uncover further corrections, such as how the field-dependent
conductivity may be influenced by details of microscopic dynamics. We conclude
that lattice simulation offers a powerful means by which to investigate
system-specific corrections to the Onsager theory, and thus constitutes a
valuable tool for detailed theoretical studies of the numerous practical
applications of the Second Wien Effect.


title: A Generalized Family of Post-Newtonian Dedekind Ellipsoids

abstract:
  We derive a family of Post-Newtonian (PN) Dedekind ellipsoids to first order.
They describe non-axially symmetric, homogeneous, and rotating figures of
equilibrium. The sequence of the Newtonian Dedekind ellipsoids allows for an
axially symmetric limit in which a uniformly rotating Maclaurin spheroid is
recovered. However, the approach taken by Chandrasekhar & Elbert (1974) to find
the PN Dedekind ellipsoids excludes such a limit. In G\"urlebeck & Petroff
(2010), we considered an extension to their work that permits a limit of 1 PN
Maclaurin ellipsoids. Here we further detail the sequence and demonstrate that
a choice of parameters exists with which the singularity formerly found in
Chandrasekhar & Elbert (1974) along the sequence of PN Dedekind ellipsoids is
removed.


title: Morse-Conley-Floer Homology

abstract:
  For Morse-Smale pairs on a smooth, closed manifold the Morse-Smale-Witten
chain complex can be defined. The associated Morse homology is isomorphic to
the singular homology of the manifold and yields the classical Morse relations
for Morse functions. A similar approach can be used to define homological
invariants for isolated invariant sets of flows on a smooth manifold, which
gives an analogue of the Conley index and the Morse-Conley relations. The
approach will be referred to as Morse-Conley-Floer homology.


title:
The Herschel Gould Belt Survey in Chamaeleon II - Properties of cold
  dust in disks around young stellar objects

abstract:
  We report on the Herschel Gould Belt survey (HGBS) of ChaII, focusing on the
detection of Class I to III young stellar objects (YSOs). We aim at
characterizing the circumstellar material around these YSOs and understanding
which disk parameters are most likely constrained by the new HGBS data. We
recovered 29 out of the 63 known YSOs in ChaII with a detection in at least one
of the PACS/SPIRE pass-bands: 3 Class I YSOs (i.e.,100%), 1 Flat source (i.e.,
50%), 21 Class II objects (i.e., 55%), 3 Class III objects (i.e, 16%) and the
unclassified source IRAS 12522-7640. We explore PACS/SPIRE colors of this
sample and present modeling of their SEDs using the RADMC-2D radiative transfer
code. We find that YSO colors are confined in specific regions of PACS/SPIRE
color-color diagrams. These color ranges are expected to be only marginally
contaminated by extragalactic sources and field stars and, hence, provide a
useful YSO selection tool when applied altogether. We were able to model the
SED of 26 out of the 29 detected YSOs. We discuss the degeneracy/limitations of
our SED fitting results and adopt the Bayesian method to estimate the
probability of different values for the derived disk parameters. The Cha II
YSOs present typical disk inner radii around 0.1 AU. The lower limit to Rc is
typically around 50 AU. The lower limits to Mdisk are proportional to the
stellar masses with a typical 0.3% ratio, i.e., in the range estimated in the
literature for young Class II stars and brown dwarfs across a broad range of
stellar masses. The estimated flaring angles, although very uncertain, point
towards rather flat disks (1+phi less than 1.2), as found for low-mass M-type
YSO samples in other star forming regions. Thus, our results support the idea
that disk properties show a dependence on stellar properties.


title: Contractive De-noising Auto-encoder

abstract:
  Auto-encoder is a special kind of neural network based on reconstruction.
De-noising auto-encoder (DAE) is an improved auto-encoder which is robust to
the input by corrupting the original data first and then reconstructing the
original input by minimizing the reconstruction error function. And contractive
auto-encoder (CAE) is another kind of improved auto-encoder to learn robust
feature by introducing the Frobenius norm of the Jacobean matrix of the learned
feature with respect to the original input. In this paper, we combine
de-noising auto-encoder and contractive auto- encoder, and propose another
improved auto-encoder, contractive de-noising auto- encoder (CDAE), which is
robust to both the original input and the learned feature. We stack CDAE to
extract more abstract features and apply SVM for classification. The experiment
result on benchmark dataset MNIST shows that our proposed CDAE performed better
than both DAE and CAE, proving the effective of our method.


title: Indexing Medical Images based on Collaborative Experts Reports

abstract:
  A patient is often willing to quickly get, from his physician, reliable
analysis and concise explanation according to provided linked medical images.
The fact of making choices individually by the patient's physician may lead to
malpractices and consequently generates unforeseeable damages. The Institute of
Medicine of the National Sciences Academy(IMNAS) in USA published a study
estimating that up to 98,000 hospital deathseach year can be attributed to
medical malpractice [1]. Moreover, physician, in charge of medical image
analysis, might be unavailable at the right time, which may complicate the
patient's state. The goal of this paper is to provide to physicians and
patients, a social network that permits to foster cooperation and to overcome
the problem of unavailability of doctors on site any time. Therefore, patients
can submit their medical images to be diagnosed and commented by several
experts instantly. Consequently, the need to process opinions and to extract
information automatically from the proposed social network became a necessity
due to the huge number of comments expressing specialist's reviews. For this
reason, we propose a kind of comments' summary keywords-based method which
extracts the major current terms and relevant words existing on physicians'
annotations. The extracted keywords will present a new and robust method for
image indexation. In fact, significant extracted terms will be used later to
index images in order to facilitate their discovery for any appropriate use. To
overcome this challenge, we propose our Terminology Extraction of Annotation
(TEA) mixed approach which focuses on algorithms mainly based on statistical
methods and on external semantic resources.


title:
Economics 2.0: The Natural Step towards A Self-Regulating, Participatory
  Market Society

abstract:
  Despite all our great advances in science, technology and financial
innovations, many societies today are struggling with a financial, economic and
public spending crisis, over-regulation, and mass unemployment, as well as lack
of sustainability and innovation. Can we still rely on conventional economic
thinking or do we need a new approach?
  I argue that, as the complexity of socio-economic systems increases,
networked decision-making and bottom-up self-regulation will be more and more
important features. It will be explained why, besides the "homo economicus"
with strictly self-regarding preferences, natural selection has also created a
"homo socialis" with other-regarding preferences. While the "homo economicus"
optimizes the own prospects in separation, the decisions of the "homo socialis"
are self-determined, but interconnected, a fact that may be characterized by
the term "networked minds". Notably, the "homo socialis" manages to earn higher
payoffs than the "homo economicus".
  I show that the "homo economicus" and the "homo socialis" imply a different
kind of dynamics and distinct aggregate outcomes. Therefore, next to the
traditional economics for the "homo economicus" ("economics 1.0"), a
complementary theory must be developed for the "homo socialis". This economic
theory might be called "economics 2.0" or "socionomics". The names are
justified, because the Web 2.0 is currently promoting a transition to a new
market organization, which benefits from social media platforms and could be
characterized as "participatory market society". To thrive, the "homo socialis"
requires suitable institutional settings such a particular kinds of reputation
systems, which will be sketched in this paper. I also propose a new kind of
money, so-called "qualified money", which may overcome some of the problems of
our current financial system.


title: Homogenization of the Hele-Shaw problem in periodic spatiotemporal media

abstract:
  We consider the homogenization of the Hele-Shaw problem in periodic media
that are inhomogeneous both in space and time. After extending the theory of
viscosity solutions into this context, we show that the solutions of the
inhomogeneous problem converge in the homogenization limit to the solution of a
homogeneous Hele-Shaw-type problem with a general, possibly nonlinear
dependence of the free boundary velocity on the gradient. Moreover, the free
boundaries converge locally uniformly in Hausdorff distance.


title:
Two-Level discretization techniques for ground state computations of
  Bose-Einstein condensates

abstract:
  This work presents a new methodology for computing ground states of
Bose-Einstein condensates based on finite element discretizations on two
different scales of numerical resolution. In a pre-processing step, a
low-dimensional (coarse) generalized finite element space is constructed. It is
based on a local orthogonal decomposition and exhibits high approximation
properties. The non-linear eigenvalue problem that characterizes the ground
state is solved by some suitable iterative solver exclusively in this
low-dimensional space, without loss of accuracy when compared with the solution
of the full fine scale problem. The pre-processing step is independent of the
types and numbers of bosons. A post-processing step further improves the
accuracy of the method. We present rigorous a priori error estimates that
predict convergence rates H^3 for the ground state eigenfunction and H^4 for
the corresponding eigenvalue without pre-asymptotic effects; H being the coarse
scale discretization parameter. Numerical experiments indicate that these high
rates may still be pessimistic.


title: Conditions for Convergence in Regularized Machine Learning Objectives

abstract:
  Analysis of the convergence rates of modern convex optimization algorithms
can be achived through binary means: analysis of emperical convergence, or
analysis of theoretical convergence. These two pathways of capturing
information diverge in efficacy when moving to the world of distributed
computing, due to the introduction of non-intuitive, non-linear slowdowns
associated with broadcasting, and in some cases, gathering operations. Despite
these nuances in the rates of convergence, we can still show the existence of
convergence, and lower bounds for the rates. This paper will serve as a helpful
cheat-sheet for machine learning practitioners encountering this problem class
in the field.


title: Hot Fluids and Nonlinear Quantum Mechanics

abstract:
  It is shown that a hot relativistic fluid could be viewed as a collection of
self-interacting quantum objects. They obey a nonlinear equation which is a
modification of the quantum equation obeyed by elementary constituents of the
fluid. A uniform phenomenological prescription, to affect the quantum
transition from a corresponding classical system, is invoked to derive the
nonlinear Schr\"odinger, Klein-Gordon, and Pauli-Schr\"odinger equations. It is
expected that the created nonlinear quantum mechanics would advance, in a
fundamental way, both the conceptual understanding and computational abilities,
particularly, in the field of extremely high energy-density physics.


title:
Integral representations and properties of some functions involving the
  logarithmic function

abstract:
  By using Cauchy integral formula in the theory of complex functions, the
authors establish some integral representations for the principal branches of
several complex functions involving the logarithmic function, find some
properties, such as being operator monotone function, being complete Bernstein
function, and being Stieltjes function, for these functions, and verify a
conjecture on complete monotonicity of a function involving the logarithmic
function.


title: Searching for the main powering outflow objects in Cepheus A East

abstract:
  We present (sub)millimeter line and continuum observations in a mosaicing
mode of the massive star forming region Cepheus A East made with the
Submillimeter Array (SMA). Our mosaic covers a total area of about 3$'$
$\times$ 12$'$ centered in the HW 2/3 region. For the first time, this
observational study encloses a high angular resolution ($\sim$ 3$''$) together
with a large scale mapping of Cepheus A East. We report compact and high
velocity $^{12}$CO(2-1) emission associated with the multiple east-west bright
H$_2$ condensations present in the region. Blueshifted and redshifted gas
emission is found towards the east as well as west of HW 2/3. The observations
suggest the presence of multiple large-scale east-west outflows that seems to
be powered at smaller scales by radio sources associated with the young stars
HW2, HW3c and HW3d. A kinematical study of part of the data suggests that the
molecular outflow powered by HW2 is precesing with time as recently reported.
Our data reveal five periodic ejections of material separated approximately
every 10$^\circ$ as projected in the plane of the sky. The most recent
ejections appear to move toward the plane of the sky. An energetic explosive
event as the one that occurred in Orion BN/KL or DR21 does not explain the
kinematics, and the dynamical times of the multiple ejections found here. The
continuum observations only revealed a strong millimeter source associated with
the HW 2/3 region. High angular resolution observations allow us to resolve
this extended dusty object in only two compact sources (with spatial sizes of
approximately 300 AU) associated with HW2 and HW3c. Finally, the bright
optical/X-Ray HH 168 -- GDD37 object might be produced by strong shocks related
with the outflow from HW3c.


title: DSTT-MRAM: Differential Spin Hall MRAM for On-chip Memories

abstract:
  A new device structure for spin transfer torque based magnetic random access
memory is proposed for on-chip memory applications. Our device structure
exploits spin Hall effect to create a differential memory cell that exhibits
fast and energy-efficient write operation. Moreover, due to inherently
differential device structure, fast and reliable read operation can be
performed. Our simulation study shows 10X improvement in write energy over the
standard 1T1R STT-MRAM memory cell, and 1.6X faster read operation compared to
single-ended sensing (as in standard 1T1R STT-MRAMs). The bit-cell
characteristics are promising for high performance on-chip memory applications.


title: Statistically optimal fitting of astrometric signals

abstract:
  A general purpose fitting model for one-dimensional astrometric signals is
developed, building on a maximum likelihood framework, and its performance is
evaluated by simulation over a set of realistic image instances. The fit
quality is analysed as a function of the number of terms used for signal
expansion, and of astrometric error, rather than RMS discrepancy with respect
to the input signal. The tuning of the function basis to the statistical
characteristics of the signal ensemble is discussed. The fit sensitivity to a
priori knowledge of the source spectra is addressed. Some implications of the
current results on calibration and data reduction aspects are discussed, in
particular with respect to Gaia.


title:
Decay rate measurement of the first vibrationally excited state of
  MgH$^+$ in a cryogenic Paul trap

abstract:
  We present a method to measure the decay rate of the first excited
vibrational state of simple polar molecular ions being part of a Coulomb
crystal in a cryogenic linear Paul trap. Specifically, we have monitored the
decay of the $|\nu$=$1,J$=$1 \rangle_X$ towards the $|\nu$=$0,J$=$0 \rangle_X$
level in MgH$^+$ by saturated laser excitation of the $|\nu$=$0,J$=$2
\rangle_X$-$|\nu$=$1,J$=$1 \rangle_X$ transition followed by state selective
resonance enhanced two-photon dissociation out of the $|\nu$=$0,J$=$2
\rangle_X$ level. The technique enables the determination of decay rates, and
thus absorption strengths, with an accuracy at the few percent level.


title: Optical computing with soliton trains in Bose-Einstein condensates

abstract:
  Optical computing devices can be implemented based on controlled generation
of soliton trains in single and multicomponent Bose-Einstein condensates (BEC).
Our concepts utilize the phenomenon that the frequency of soliton trains in BEC
can be governed by changing interactions within the atom cloud. We use this
property to store numbers in terms of those frequencies for a short time until
observation. The properties of soliton trains can be changed in an intended way
by other components of BEC occupying comparable states or via phase
engineering. We elucidate in which sense such an additional degree of freedom
can be regarded as a tool for controlled manipulation of data. Finally the
outcome of any manipulation made is read out by observing the signature within
the density profile.


title:
Large time behavior in nonlinear Schrodinger equation with time
  dependent potential

abstract:
  We consider the large time behavior of solutions to defocusing nonlinear
Schrodinger equation in the presence of a time dependent external potential.
The main assumption on the potential is that it grows at most quadratically in
space, uniformly with respect to the time variable. We show a general
exponential control of first order derivatives and momenta, which yields a
double exponential bound for higher Sobolev norms and momenta. On the other
hand, we show that if the potential is an isotropic harmonic potential with a
time dependent frequency which decays sufficiently fast, then Sobolev norms are
bounded, and momenta grow at most polynomially in time, because the potential
becomes negligible for large time: there is scattering, even though the
potential is unbounded in space for fixed time.


title:
Global solutions and asymptotic behavior for two dimensional gravity
  water waves

abstract:
  This paper is devoted to the proof of a global existence result for the water
waves equation with smooth, small, and decaying at infinity Cauchy data. We
obtain moreover an asymptotic description in physical coordinates of the
solution, which shows that modified scattering holds.
  The proof is based on a bootstrap argument involving $L^2$ and $L^\infty$
estimates. The $L^2$ bounds are proved in a companion paper of this article.
They rely on a normal forms paradifferential method allowing one to obtain
energy estimates on the Eulerian formulation of the water waves equation. We
give here the proof of the uniform bounds, interpreting the equation in a
semi-classical way, and combining Klainerman vector fields with the description
of the solution in terms of semi-classical lagrangian distributions. This,
together with the $L^2$ estimates of the companion paper, allows us to deduce
our main global existence result.


title: Exciting Andreev pairs in a superconducting atomic contact

abstract:
  The Josephson effect describes the flow of supercurrent in a weak link, such
as a tunnel junction, nanowire, or molecule, between two superconductors. It is
the basis for a variety of circuits and devices, with applications ranging from
medicine to quantum information. Currently, experiments using Josephson
circuits that behave like artificial atoms are revolutionizing the way we probe
and exploit the laws of quantum physics. Microscopically, the supercurrent is
carried by Andreev pair states, which are localized at the weak link. These
states come in doublets and have energies inside the superconducting gap.
Existing Josephson circuits are based on properties of just the ground state of
each doublet and so far the excited states have not been directly detected.
Here we establish their existence through spectroscopic measurements of
superconducting atomic contacts. The spectra, which depend on the atomic
configuration and on the phase difference between the superconductors, are in
complete agreement with theory. Andreev doublets could be exploited to encode
information in novel types of superconducting qubits.


title: Moduli spaces of meromorphic connections and quiver varieties

abstract:
  We describe the moduli spaces of meromorphic connections on trivial
holomorphic vector bundles over the Riemann sphere with at most one
(unramified) irregular singularity and arbitrary number of simple poles as
Nakajima's quiver varieties. This result enables us to solve partially the
additive irregular Deligne-Simpson problem.


title: Sumsets in quadratic residues

abstract:
  We describe all sets $A \subseteq \F_p$ which represent the quadratic
residues $R \subseteq \F_p$ as $R=A+A$ and $R=A\hat{+} A$. Also, we consider
the case of an approximate equality $R \approx A+A$ and $R \approx A\hat{+} A$
and prove that $A$ has a structure in the situation.


title: Evolutionary optimization of an experimental apparatus

abstract:
  In recent decades, cold atom experiments have become increasingly complex.
While computers control most parameters, optimization is mostly done manually.
This is a time-consuming task for a high-dimensional parameter space with
unknown correlations. Here we automate this process using a genetic algorithm
based on Differential Evolution. We demonstrate that this algorithm optimizes
21 correlated parameters and that it is robust against local maxima and
experimental noise. The algorithm is flexible and easy to implement. Thus, the
presented scheme can be applied to a wide range of experimental optimization
tasks.


title:
Wide Band Time-Correlated Model for Wireless Communications under
  Impulsive Noise within Power Substation

abstract:
  The installation of wireless technologies in power substations requires
characterizing the impulsive noise produced by the high-voltage equipment.
Substation impulsive noise might interfere with classic wireless communications
and none of the existing models can reliably represent this noise in wide band.
Previous studies have shown that impulsive noise is characterized by series of
damped oscillations with the amplitude, the duration and the occurrence times
of the impulses that are random. All these characteristics make this noise
time-correlated and the partitioned Markov chain remains an efficient model
that can ensure the correlation between the samples. In this study, we propose
to design a partitioned Markov chain to generate an impulsive noise that is
similar to the noise measured in existing substations, in time and frequency
domains. We configure our Markov chain to produce the impulses with the damped
oscillation effect, then, we determine the probability transition matrix and
the distribution of each state of the Markov chain. Finally, we generate noise
samples and we study the distribution of the impulsive noise characteristics.
Our Markov chain model can replicate the correlation between the measured noise
samples; also the distributions of the noise characteristics are similar in the
simulations and the measurements.


title:
Modeling and optimizing a distributed power network : A complex system
  approach of the prosumer management in the smart grid

abstract:
  One of the most important goals of the 21st century is to change radically
the way our society produces and distributes energy. This broad objective
embodies in the smart grid's futuristic vision of a completely decentralized
system powered by renewable plants. Imagine indeed such a real time power
network in which everyone could be a consumer or a producer. Based on a coupled
information system, each user would be able to buy or sell energy at a time
depending price that would allow a homogenization of the consumption,
eradicating the well known morning or evening peak. This attractive idea is
currently booming in the scientific community as it generates intellectual
challenges in various domains.
  Nevertheless, lots of unanswered questions remain. The first steps are
currently accomplished with the appearance of smart meters or the development
of more efficient energy storage devices. However, the design of the
decentralized information system of the smart grid, which will have to deal
with huge amounts of sensor's data in order to control the system within its
stability region, seems to be still in search.
  In the following survey, we concentrate on the telecommunication part of the
smart grid system. We begin by identifying different control level in the
system, and we focus on high control levels, which are commonly attributed to
the information system. We then define a few concepts of the smart grid and
present some interesting approaches using models from the complex system
theory. In the last part, we review ongoing works aiming at establishing
telecommunication requirements for smart grid applications, and underline the
necessity of building accountable models for testing these values.


title:
Nonlinear quantum piston for the controlled generation of vortex rings
  and soliton trains

abstract:
  We propose a simple way to generate nonlinear excitations in a controllable
way by managing interactions in Bose-Einstein condensates. Under the action of
a quantum analogue of a classical piston the condensed atoms are pushed through
the trap generating vortex rings in a fully three- dimensional condensates or
soliton trains in quasi-one dimensional scenarios. The vortex rings form due to
transverse instability of the shock wave train enhanced and supported by the
energy transfer between waves. We elucidate in which sense the
self-interactions within the atom cloud define the properties of generated
vortex rings and soliton trains. Based on the quantum piston scheme we study
the behavior of two component Bose-Einstein condensates and analyze how the
presence of an additional superfluid influences the generation of vortex rings
or solitons in the other component and vice versa. Finally, we show the
dynamical emergence of skyrmions within two component systems in the immiscible
regime.


title:
Reply to comment on "Irregularity in gamma ray source spectra as a
  signature of axionlike particles"

abstract:
  G. Galanti and M .Roncadelli recently made public some comments on the
article by D. Wouters and P. Brun about irregularities induced by photon mixing
to axion-like particles in astrophysical media [Phys. Rev. D86, 043005 (2012)].
They claim in particular to have found some mistakes in the article. This note
is a response to their comments, we refute their arguments and show that the
results presented in the article are correct. It turns out most of the
misunderstandings come from the definition of the beam initial state, some
clarifications about which are given here.


title: Invariants for non-reductive group actions

abstract:
  We prove finite generation of the algebras of invariants for a class of
linear actions of suitable non-reductive groups on projective and affine
varieties, and give a geometric construction for their GIT quotients.


title: Yangians and W-algebras

abstract:
  We present a connection between W-algebras and Yangians, in the case of gl(N)
algebras, as well as for twisted Yangians and/or super-Yangians. This
connection allows to construct an R-matrix for the W-algebras, and to classify
their finite-dimensional irreducible representations. We illustrate it in the
framework of nonlinear Schroedinger equation in 1+1 dimension.


title: An elementary approach for the phase retrieval problem

abstract:
  If the phase retrieval problem can be solved by a method similar to that of
solving a system of linear equations under the context of FFT, the time
complexity of computer based phase retrieval algorithm would be reduced. Here I
present such a method which is recursive but highly non-linear in nature, based
on a close look at the Fourier spectrum of the square of the function norm. In
a one dimensional problem it takes $O(N^2)$ steps of calculation to recover the
phases of an N component complex vector. This method could work in 1, 2 or even
higher dimensional finite Fourier analysis without changes in the behavior of
time complexity. For one dimensional problem the performance of an algorithm
based on this method is shown, where the limitations are discussed too,
especially when subject to random noises which contains significant high
frequency components.


title:
Using Bias Optimization for Reversible Data Hiding Using Image
  Interpolation

abstract:
  In this paper, we propose a reversible data hiding method in the spatial
domain for compressed grayscale images. The proposed method embeds secret bits
into a compressed thumbnail of the original image by using a novel
interpolation method and the Neighbour Mean Interpolation (NMI) technique as
scaling up to the original image occurs. Experimental results presented in this
paper show that the proposed method has significantly improved embedding
capacities over the approach proposed by Jung and Yoo.


title: Trading Performance for Stability in Markov Decision Processes

abstract:
  We study the complexity of central controller synthesis problems for
finite-state Markov decision processes, where the objective is to optimize both
the expected mean-payoff performance of the system and its stability.
  We argue that the basic theoretical notion of expressing the stability in
terms of the variance of the mean-payoff (called global variance in our paper)
is not always sufficient, since it ignores possible instabilities on respective
runs. For this reason we propose alernative definitions of stability, which we
call local and hybrid variance, and which express how rewards on each run
deviate from the run's own mean-payoff and from the expected mean-payoff,
respectively.
  We show that a strategy ensuring both the expected mean-payoff and the
variance below given bounds requires randomization and memory, under all the
above semantics of variance. We then look at the problem of determining whether
there is a such a strategy. For the global variance, we show that the problem
is in PSPACE, and that the answer can be approximated in pseudo-polynomial
time. For the hybrid variance, the analogous decision problem is in NP, and a
polynomial-time approximating algorithm also exists. For local variance, we
show that the decision problem is in NP. Since the overall performance can be
traded for stability (and vice versa), we also present algorithms for
approximating the associated Pareto curve in all the three cases.
  Finally, we study a special case of the decision problems, where we require a
given expected mean-payoff together with zero variance. Here we show that the
problems can be all solved in polynomial time.


title:
Weights of simple highest weight modules over a complex semisimple Lie
  algebra

abstract:
  In this short note we announce three formulas for the set of weights of
various classes of highest weight modules $\V$ with highest weight \lambda,
over a complex semisimple Lie algebra $\lie{g}$ with Cartan subalgebra
$\lie{h}$. These include, but are not restricted to, all (highest weight)
simple modules L(\lambda). We also assert that these formulas are the "best
possible", in that they do not hold in general for other highest weight modules
in a very precise sense. The proofs of the results in this note are included in
an updated copy (Version 3) of the paper arxiv:1301.1140 . The proofs involve
studying the convex hull of the set of $\lie{h}$-weights $\wt(\V)$ in their own
right. Thus, we show that if $\V = L(\lambda)$ is simple, or if \lambda\ is not
on a simple root hyperplane and $\V$ is arbitrary, the hull of the infinite set
$\wt(\V)$ is a convex polyhedron - i.e., cut out by only finitely many
hyperplanes. (This extends the notion of the Weyl polytope to arbitrary simple
modules L(\lambda).) It is also shown that the partially ordered set (under
quotienting) of modules $\V$ with fixed convex hull, has unique "largest" and
"smallest" elements.


title:
Fluctuations of systems in finite heat reservoirs with applications to
  phase transitions in lipid membranes

abstract:
  In an adiabatically shielded system the total enthalpy is conserved. Enthalpy
fluctuations of an arbitrarily chosen subsystem must be buffered by the
remainder of the total system which serves as a heat reservoir. The magnitude
of these fluctuations depends on the size of the reservoir. This leads to
various interesting consequences for the physical behavior of the subsystem. As
an example, we treat a lipid membrane with a phase transition that is embedded
in an aqueous reservoir. We find that large fluctuations are attenuated when
the reservoir has finite size. This has consequences for the compressibility of
the membrane since volume and area fluctuations are also attenuated. We compare
the equilibrium fluctuations of subsystems in finite reservoirs with those in
periodically driven systems. In such systems, the subsystem has only finite
time available to exchange heat with the surrounding medium. A larger frequency
therefore reduces the volume of the accessible heat reservoir. Consequently,
the fluctuations of the subsystem display a frequency dependence. While this
work is of particular interest for a subsystem displaying a transition such as
a lipid membrane, some of the results are of a generic nature and may
contribute to a better understanding of relaxation processes in general.


title: Heat kernel asymptotics for magnetic Schr\"odinger operators

abstract:
  We explicitly construct parametrices for magnetic Schr\"odinger operators on
R^d and prove that they provide a complete small-t expansion for the
corresponding heat kernel, both on and off the diagonal.


title: Deformations of symmetric CMC surfaces in the 3-sphere

abstract:
  In this paper we numerically construct CMC deformations of the Lawson minimal
surfaces $\xi_{g,1}$ using a spectral curve and a DPW approach to CMC surfaces
in spaceforms.


title:
Doping dependence of the spin excitations in Fe-based superconductors
  Fe1+yTe1-xSex

abstract:
  The Fe1+yTe1-xSex series of materials is one of the prototype families of
Fe-based superconductors. To provide further insight into these materials we
present systematic inelastic neutron scattering measurements of the low energy
spin excitations for x=0.27, 0.36, 0.40, 0.49. These measurements show an
evolution of incommensurate spin excitations towards the (1/2 1/2 0) wave
vector with doping. Concentrations (x=0.40 and 0.49) which exhibit the most
robust superconducting properties have spin excitations closest to (1/2 1/2 0)
and also exhibit a strong spin resonance in the spin excitation spectrum below
Tc. The resonance signal appears to be closer to (1/2 1/2 0) than the
underlying spin excitations. We discuss the possible relationship between
superconductivity and spin excitations at the (1/2 1/2 0) wave vector and the
role that interstitial Fe may play.


title:
Optimizing the superconducting transition temperature and upper critical
  field of Sn(1-x)In(x)Te

abstract:
  Sn(1-x)In(x)Te is a possible candidate for topological superconductivity.
Previous work has shown that substitution of In for Sn in the topological
crystalline insulator SnTe results in superconductivity, with the transition
temperature, Tc, growing with In concentration. We have performed a systematic
investigation of Sn(1-x)In(x)Te for a broad range of x, synthesizing single
crystals (by a modified floating zone method) as well as polycrystalline
samples. The samples have been characterized by x-ray diffraction, resistivity,
and magnetization. For the single crystals, the maximum Tc is obtained at
x=0.45 with a value of of 4.5 K, as determined by the onset of diamagnetism.


title: Some results on a cross-section in the tensor bundle

abstract:
  The present paper is devoted to some results concerning with the complete
lifts of an almost complex structure and a connection in a manifold to its
(0,q)-tensor bundle along the corresponding cross-section.


title: Nonuniversal power-law spectra in turbulent systems

abstract:
  Turbulence is generally associated with universal power-law spectra in scale
ranges without significant drive or damping. Although many examples of
turbulent systems do not exhibit such an inertial range, power-law spectra may
still be observed. As a simple model for such situations, a modified version of
the Kuramoto-Sivashinsky equation is studied. By means of semi-analytical and
numerical studies, one finds power laws with nonuniversal exponents in the
spectral range for which the ratio of nonlinear and linear time scales is
(roughly) scale-independent.


title:
Supercritical Mean Field Equations on convex domains and the Onsager's
  statistical description of two-dimensional turbulence

abstract:
  We are motivated by the study of the Microcanonical Variational Principle
within the Onsager's description of two-dimensional turbulence in the range of
energies where the equivalence of statistical ensembles fails. We obtain
sufficient conditions for the existence and multiplicity of solutions for the
corresponding Mean Field Equation on convex and "thin" enough domains in the
supercritical (with respect to the Moser-Trudinger inequality) regime. This is
a brand new achievement since existence results in the supercritical region
were previously known \un{only} on multiply connected domains. Then we study
the structure of these solutions by the analysis of their linearized problems
and also obtain a new uniqueness result for solutions of the Mean Field
Equation on thin domains whose energy is uniformly bounded from above. Finally
we evaluate the asymptotic expansion of those solutions with respect to the
thinning parameter and use it together with all the results obtained so far to
solve the Microcanonical Variational Principle in a small range of
supercritical energies where the entropy is eventually shown to be concave.


title: Neutrino signal from extended Galactic sources in IceCube

abstract:
  We explore the detectability of the neutrino flux from the entire Galactic
Plane or from a part of it with IceCube. We calculate the normalization and the
spectral index of the neutrino power law spectrum from different regions of the
Galactic plane, based on the observed spectral characteristics of the pion
decay gamma-ray diffuse emission observed by the Fermi/LAT telescope in the
energy band above 100 GeV. We compare the neutrino flux calculated in this way
with the sensitivity of IceCube for the detection of extended sources. Assuming
a binned extended source analysis method, we find that the only possible
evidence for neutrino emission for sources located in the Northern hemisphere
is from the Cygnus region after 20 years of exposure. For other parts of the
Galactic Plane even a 20 years exposure with IceCube is not sufficient for the
detection. Taking into account marginal significance of the detectable source
in the Cygnus region, we find a precise position and size of the source region
which optimizes the signal-to-noise ratio for neutrinos. We also calculate the
low-energy threshold above which the neutrino signal could be detected with the
highest signal-to-noise ratio. This calculation of precise source position,
size and energy range, based on the gamma-ray data, could be used to remove the
'trial factor' in the analysis of the real neutrino data of IceCube. We notice
that the diffuse neutrino emission from the inner Galactic Plane in the
Southern Hemisphere is much brighter. A neutrino detector with characteristics
equivalent to IceCube, but placed at the Northern Hemisphere (such as KM3NeT),
would detect several isolated neutrino sources in the Galactic Plane within
just 5 years exposure at 5{\sigma} level. These isolated sources of ~TeV
neutrinos would unambiguously localize sources of cosmic rays which operated
over the last 10 thousand years in the Galaxy.[abridged]


title:
Adaptation controls synchrony and cluster states of coupled
  threshold-model neurons

abstract:
  We analyze zero-lag and cluster synchrony of delay-coupled non-smooth
dynamical systems by extending the master stability approach, and apply this to
networks of adaptive threshold-model neurons. For a homogeneous population of
excitatory and inhibitory neurons we find (i) that subthreshold adaptation
stabilizes or destabilizes synchrony depending on whether the recurrent
synaptic excitatory or inhibitory couplings dominate, and (ii) that synchrony
is always unstable for networks with balanced recurrent synaptic inputs. If
couplings are not too strong, synchronization properties are similar for very
different coupling topologies, i.e., random connections or spatial networks
with localized connectivity. We generalize our approach for two subpopulations
of neurons with non-identical local dynamics, including bursting, for which
activity-based adaptation controls the stability of cluster states, independent
of a specific coupling topology.


title: Spatial modulation and topological current in holographic QCD matter

abstract:
  We investigate an impact of the axial-vector interaction on spatial
modulation of quark matter. A magnetic field coupled with baryon density leads
to a topological axial current, so that the effect of the axial-vector
interaction is crucially enhanced then. Using the Sakai-Sugimoto model we have
found that, contrary to a naive expectation, the spatially modulated phase is
less favored for a stronger magnetic field, which is realized by the presence
of topological current.


title: Eigenvalues of the drifted Laplacian on complete metric measure spaces

abstract:
  I In this paper, first we study a complete smooth metric measure space
$(M^n,g, e^{-f}dv)$ with the ($\infty$)-Bakry-\'Emery Ricci curvature
$\textrm{Ric}_f\ge \frac a2g$ for some positive constant $a$. It is known that
the spectrum of the drifted Laplacian $\Delta_f$ for $M$ is discrete and the
first nonzero eigenvalue of $\Delta_f$ has lower bound $\frac a2$. We prove
that if the lower bound $\frac a2$ is achieved with multiplicity $k\geq 1$,
then $k\leq n$, $M$ is isometric to $\Sigma^{n-k}\times \mathbb{R}^k$ for some
complete $(n-k)$-dimensional manifold $\Sigma$ and by passing an isometry,
$(M^n,g, e^{-f}dv)$ must split off a gradient shrinking Ricci soliton
$(\mathbb{R}^k, g_{can}, \frac{a}{4}|t|^2)$, $t\in \mathbb{R}^k$. This result
has an application to gradient shrinking Ricci solitons. Secondly, we study the
drifted Laplacian $\mathcal{L}$ for properly immersed self-shrinkers in the
Euclidean space $\mathbb{R}^{n+p}$, $p\geq1$ and show the discreteness of the
spectrum of $\mathcal{L}$ and a logarithmic Sobolev inequality.


title:
Holographic interpretation of renormalization group approach to singular
  perturbations in non-linear differential equations

abstract:
  We give a holographic explanation how the renormalization group approach to
singular perturbations in non-linear differential equations proposed by Chen,
Goldenfeld and Oono is indeed equivalent to a renormalization group method in
quantum field theories proposed by Gell-Mann and Low via AdS/CFT
correspondence.

categories: hep-th cond-mat.stat-mech math-ph math.MP


title: Spins, Stripes, and Superconductivity in Hole-Doped Cuprates

abstract:
  One of the major themes in correlated electron physics over the last quarter
century has been the problem of high-temperature superconductivity in
hole-doped copper-oxide compounds. Fundamental to this problem is the
competition between antiferromagnetic spin correlations, a symptom of strong
Coulomb interactions, and the kinetic energy of the doped carriers, which
favors delocalization. After discussing some of the early challenges in the
field, I describe the experimental picture provided by a variety of
spectroscopic and transport techniques. Then I turn to the technique of neutron
scattering, and discuss how it is used to determine spin correlations,
especially in model systems of quantum magnetism. Neutron scattering and
complementary techniques have determined the extent to which antiferromagnetic
spin correlations survive in the cuprate superconductors. One experimental case
involves the ordering of spin and charge stripes. I first consider related
measurements on model compounds, such as La(2-x)Sr(x)NiO(4+d), and then discuss
the case of La(2-x)Ba(x)CuO(4). In the latter system, recent transport studies
have demonstrated that quasi-two-dimensional superconductivity coexists with
the stripe order, but with frustrated phase order between the layers. This has
led to new concepts for the coexistence of spin order and superconductivity.
While the relevance of stripe correlations to high-temperature
superconductivity remains a subject of controversy, there is no question that
stripes are an intriguing example of electron matter that results from strong
correlations.


title:
Semantic Guidance and Feedback for the Construction of Specifications
  and Implementations

abstract:
  The problem of writing a specification which accurately reflects the intent
of the developer has long been recognized as fundamental. We propose a method
and a supporting tool to write and check a specification and an implementation
using a set of use cases, \ie input-output pairs that the developer supplies.
These are instances of both good (correct) and bad (incorrect) behavior. We
assume that the use cases are accurate, as it is easier to generate use cases
than to write an accurate specification. We incrementally construct a
specification (precondition and postcondition) based on semantic feedback
generated from these use cases. We check the accuracy of the constructed
specification using two proposed algorithms. The first algorithm checks the
accuracy of the specification against an automatically generated specification
from a supplied finite domain of use cases. The second checks the accuracy of
the specification via reducing its domain to a finite yet equally satisfiable
domain if possible. When the specification is mature, we start to also
construct a program that satisfies the specification. However, our method makes
provision for the continued modification of the specification, if needed. We
illustrate our method with two examples; linear search and text justify.


title: Bose-Einstein condensation in a minimal inhomogeneous system

abstract:
  We study the effects of repulsive interaction and disorder on Bosons in a
two-site Bose-Hubbard system, which provides a simple model of the dirty boson
problem. By comparison with exact numerical results, we demonstrate how a
straightforward application of the Bogoliubov approximation fails even to
deliver a qualitatively correct picture: It wrongly predicts an increase of the
condensate depletion due to disorder. We show that, in the presence of
disorder, the noncommutative character of the condensate operator has to be
retained for a correct description of the system.


title:
Sharp regularity of linearization for $C^{1,1}$ hyperbolic
  diffeomorphisms

abstract:
  $C^1$ linearization is of special significance because it preserves smooth
dynamical behaviors and distinguishes qualitative properties in characteristic
directions. However, $C^1$ smoothness is not enough to guarantee $C^1$
linearization. For $C^{1,1}$ hyperbolic diffeomorphisms on Banach spaces $C^1$
linearization was proved under a gap condition together with a band condition
of the spectrum. In this paper, the result of $C^1$ linearization in Banach
spaces is strengthened to $C^{1,\beta}$ linearization with a constant $\beta>0$
under a weaker band condition by a decomposition with invariant foliations. The
weaker band condition allows the spectrum to be a union of more than two but
finitely many bands but restricts those bands to be bounded by a number
depending on the supremum of contractive spectrum and the infimum of expansive
spectrum. Furthermore, we give an estimate for the exponent $\beta$ and prove
that the estimate is sharp in the planar case.


title: Sharpness for $C^1$ linearization of planar hyperbolic diffeomorphisms

abstract:
  Planar hyperbolic diffeomorphisms can be referred to two cases: Poincar\'{e}
domain (both eigenvalues lie inside the unit circle $S^1$) and Siegel domain
(one eigenvalue inside $S^1$ but the other outside $S^1$). In Poincar\'{e}
domain it was proved that $C^{1,\alpha}$ smoothness with
$\alpha_0:=1-\log|\lambda_2|/\log|\lambda_1|<\alpha\le 1$, where $\lambda_1$
and $\lambda_2$ are both eigenvalues such that $0<|\lambda_1|<|\lambda_2|<1$,
admits $C^1$ linearization and the linearization is actually $C^{1,\beta}$.
While a sharp H\"older exponent $\beta>0$ is given, an interesting problem is:
Is the exponent $\alpha_0$ also sharp? On the other hand, in Siegel domain we
only know that $C^{1,\alpha}$ smoothness with $\alpha\in (0,1]$ admits $C^1$
linearization. In this paper we further study the sharpness for $C^1$
linearization in both cases.


title: Galactic PeV Neutrinos

abstract:
  IceCube experiment has detected two neutrinos with energies beween 1-10 PeV.
They might have originated from Galactic or extragalactic sources of cosmic
rays. In the present work we consider hadronic interactions of the diffuse very
high energy cosmic rays with the interstellar matter within our Galaxy to
explain the PeV neutrino events detected in IceCube. We also expect PeV gamma
ray events along with the PeV neutrino events if the observed PeV neutrinos
were produced within our Galaxy in hadronic interactions. PeV gamma rays are
unlikely to reach us from sources outside our Galaxy due to pair production
with cosmic background radiations. We suggest that in future with simultaneous
detections of PeV gamma rays and neutrinos it would be possible to distinguish
between Galactic and extragalactic origins of very high energy neutrinos.


title:
Quantitatively Assessing the Role of Clouds in the Transmission Spectrum
  of GJ 1214b

abstract:
  Recent observations of the super-Earth GJ 1214b show that it has a relatively
featureless transmission spectrum. One suggestion is that these observations
indicate that the planet's atmosphere is vertically compact, perhaps due to a
water-rich composition that yields a large mean molecular weight. Another
suggestion is that the atmosphere is hydrogen/helium-rich with clouds that
obscure predicted absorption features. Previous models that incorporate clouds
have included their effect without a strong physical motivation for their
existence. Here, we present model atmospheres of GJ 1214b that include
physically-motivated clouds of two types. We model the clouds that form as a
result of condensation in chemical equilibrium, as they likely do on brown
dwarfs, which include KCl and ZnS for this planet. We also include clouds that
form as a result of photochemistry, forming a hydrocarbon haze layer. We use a
photochemical kinetics model to understand the vertical distribution and
available mass of haze-forming molecules. We model both solar and
enhanced-metallicity cloudy models and determine the cloud properties necessary
to match observations. In enhanced-metallicity atmospheres, we find that the
equilibrium clouds can match the observations of GJ 1214b if they are lofted
high into the atmosphere and have a low sedimentation efficiency (fsed=0.1). We
find that models with a variety of hydrocarbon haze properties can match the
observations. Particle sizes from 0.01 to 0.25 micron can match the
transmission spectrum with haze-forming efficiencies as low as 1-5%.


title: Resolution enhancement in neural networks with dynamical synapses

abstract:
  Conventionally, information is represented by spike rates in the neural
system. Here, we consider the ability of temporally modulated activities in
neuronal networks to carry information extra to spike rates. These temporal
modulations, commonly known as population spikes, are due to the presence of
synaptic depression in a neuronal network model. We discuss its relevance to an
experiment on transparent motions in macaque monkeys by Treue et al. in 2000.
They found that if the moving directions of objects are too close, the firing
rate profile will be very similar to that with one direction. As the difference
in the moving directions of objects is large enough, the neuronal system would
respond in such a way that the network enhances the resolution in the moving
directions of the objects. In this paper, we propose that this behavior can be
reproduced by neural networks with dynamical synapses when there are multiple
external inputs. We will demonstrate how resolution enhancement can be
achieved, and discuss the conditions under which temporally modulated
activities are able to enhance information processing performances in general.


title:
Optimal Rate of Direct Estimators in Systems of Ordinary Differential
  Equations Linear in Functions of the Parameters

abstract:
  Many processes in biology, chemistry, physics, medicine, and engineering are
modeled by a system of differential equations. Such a system is usually
characterized via unknown parameters and estimating their 'true' value is thus
required. In this paper we focus on the quite common systems for which the
derivatives of the states may be written as sums of products of a function of
the states and a function of the parameters.
  For such a system linear in functions of the unknown parameters we present a
necessary and sufficient condition for identifiability of the parameters. We
develop an estimation approach that bypasses the heavy computational burden of
numerical integration and avoids the estimation of system states derivatives,
drawbacks from which many classic estimation methods suffer. We also suggest an
experimental design for which smoothing can be circumvented. The optimal rate
of the proposed estimators, i.e., their $\sqrt n$-consistency, is proved and
simulation results illustrate their excellent finite sample performance and
compare it to other estimation approaches.


title:
Effect of weak impurities on electronic properties of graphene:
  functional renormalization-group analysis

abstract:
  We consider an effect of weak impurities on electronic properties of graphene
within the functional renormalization-group approach. The energy dependences of
the electronic self-energy and density of states near the neutrality point are
discussed. Depending on the symmetry of the impurities, the electronic damping
$\Gamma$ and density of states $\rho$ can deviate substantially from those
given by the self-consistent Born approximation. We investigate the crossover
from the results of the self-consistent Born approximation, which are valid far
from the neutrality point to the strong-coupling (diffusive) regime near the
neutrality point. For impurities, which are diagonal in both, valley and
sublattice indices, we obtain finite density of states at the Fermi level with
the values, which are much bigger than the results of the self-consistent Born
approximation.

categories: cond-mat.str-el cond-mat.dis-nn cond-mat.mes-hall cond-mat.mtrl-sci