title:
The role of vector meson dominance and running masses in the hadronic
  contributions to the muon $g-2$

abstract:
  We summarize our recent results for the quark loop part of the light-by-light
scattering contribution as well as the hadronic vacuum polarisation
contributions to the anomalous magnetic moment of the muon. In particular we
focus on the role played by the momentum dependence of the quark- and
quark-photon vertex dressing functions. We give a detailed comparison of the
Dyson-Schwinger description of this contribution to the corresponding picture
emerging from hadronic models in particular the extended Nambu--Jona-Lasonio
model (ENJL). We find that the details of the momentum dependence are important
on a quantitative level. Especially the transverse parts of the
quark-photon-vertex, which serve as a dynamical extension of simple vector
meson dominance models, do not yield the large suppression of the
light-by-light contribution found in the ENJL model if realistic dressings are
taken into account.


title:
Tunnelling black-hole radiation with $\phi^3$ self-interaction: one-loop
  computation for Rindler Killing horizons

abstract:
  Tunnelling processes through black hole horizons have recently been
investigated in the framework of WKB theory discovering interesting interplay
with the Hawking radiation. A more precise and general account of that
phenomenon has been subsequently given within the framework of QFT in curved
spacetime by two of the authors of the present paper. In particular, it has
been shown that, in the limit of sharp localization on opposite sides of a
Killing horizon, the quantum correlation functions of a scalar field appear to
have thermal nature, and the tunnelling probability is proportional to
$\exp\{-\beta_{Hawking} E\}$. This local result is valid in every spacetime
including a local Killing horizon, no field equation is necessary, while a
suitable choice for the quantum state is relevant. Indeed, the two point
function has to verify a short-distance condition weaker than the Hadamard one.
In this paper we consider a massive scalar quantum field with a $\phi^3$
self-interaction and we investigate the issue whether or not the black hole
radiation can be handled at perturbative level, including the renormalisation
contributions. We prove that, for the simplest model of the Killing horizon
generated by the boost in Minkowski spacetime, and referring to Minkowski
vacuum, the tunnelling probability in the limit of sharp localization on
opposite sides of the horizon preserves the thermal form proportional to
$\exp\{-\beta_H E\}$ even taking the one-loop renormalisation corrections into
account. A similar result is expected to hold for the Unruh state in the
Kruskal manifold, since that state is Hadamard and looks like Minkowski vacuum
close to the horizon.


title:
Expressing Properties in Second and Third Order Logic: Hypercube Graphs
  and SATQBF

abstract:
  It follows from the famous Fagin's theorem that all problems in NP are
expressible in existential second-order logic (ESO), and vice versa. Indeed,
there are well-known ESO characterizations of NP-complete problems such as
3-colorability, Hamiltonicity and clique. Furthermore, the ESO sentences that
characterize those problems are simple and elegant. However, there are also NP
problems that do not seem to possess equally simple and elegant ESO
characterizations. In this work, we are mainly interested in this latter class
of problems. In particular, we characterize in second-order logic the class of
hypercube graphs and the classes SATQBF_k of satisfiable quantified Boolean
formulae with k alternations of quantifiers. We also provide detailed
descriptions of the strategies followed to obtain the corresponding nontrivial
second-order sentences. Finally, we sketch a third-order logic sentence that
defines the class SATQBF = \bigcup_{k \geq 1} SATQBF_k. The sub-formulae used
in the construction of these complex second- and third-order logic sentences,
are good candidates to form part of a library of formulae. Same as libraries of
frequently used functions simplify the writing of complex computer programs, a
library of formulae could potentially simplify the writing of complex second-
and third-order queries, minimizing the probability of error.


title:
Determination of Chiral Perturbarion Theory low energy constants from a
  precise description of pi-pi scattering threshold parameters

abstract:
  We report on our determination of the values of the one and two loop low
energy constants appearing in the Chiral Perturbation Theory calculation of the
pi-pi scattering amplitude. For this we use a precise sum rule determination of
scattering lengths and slopes that appear in the effective range expansion. In
addition we provide new sum rules and the values for these coefficients up to
third order in the expansion. Our results when using only the scattering
lengths and slopes of the S, P, D and F waves are consistent with previous
determinations, but seem to require higher order contributions if they are to
accommodate the third order coefficients of the effective range expansion.


title: Recent Experimental Results on Soft Strong Interactions

abstract:
  This report contains selected recent highlights from experimental studies of
soft and semi-hard strong interactions from the Large Hadron Collider, HERA and
the Tevatron. The subject is broken down into diffractive and non-diffractive
channels and the most significant recent progress and open questions in each
area are summarised.


title: Stable Self-Interacting Pais-Uhlenbeck Oscillator

abstract:
  It is shown that the interacting Pais-Uhlenbeck oscillator necessarily leads
to a description with a Hamiltonian that contains positive and negative
energies associated with two oscillators. Descriptions with a positive definite
Hamiltonians, considered by some authors, can hold only for a free
Pais-Uhlenbeck oscillator. We demonstrate that the solutions of a
self-interacting Pais-Uhlenbeck oscillator are stable on islands in the
parameter space, as already observed in the literature. If we slightly modify
the system, by considering a sine interaction term, and/or by taking unequal
masses of the two oscillators, then the system is stable on the continents that
extend from zero to infinity in the parameter space. Therefore, the
Pais-Uhlenbeck oscillator is quite acceptable physical system.


title:
Infinitely many homoclinic orbits for a class of superquadratic
  Hamiltonian systems

abstract:
  In this paper, we prove the existence of infinitely many homoclinic orbits
for the first order Hamiltonian systems $J\dot{x}-M(t)x+ R'(t,x)=0$, by the
minimax methods in critical point theory, when $R(t,y)$ satisfies the
superquadratic condition ${{R(t,x)}\over{\|x\r|^{2}}}\longrightarrow \pm\infty$
as $\|x\|\longrightarrow\infty$, uniformly in $t$, and need not satisfy the
global Ambrosetti-Rabinowitz condition


title: Radiation damage in the LHCb Vertex Locator

abstract:
  The LHCb Vertex Locator (VELO) is a silicon strip detector designed to
reconstruct charged particle trajectories and vertices produced at the LHCb
interaction region. During the first two years of data collection, the 84 VELO
sensors have been exposed to a range of fluences up to a maximum value of
approximately $\rm{45 \times 10^{12}\,1\,MeV}$ neutron equivalent
($\rm{1\,MeV\,n_{eq}}$). At the operational sensor temperature of approximately
$-7\,^{\circ}\rm{C}$, the average rate of sensor current increase is
$18\,\upmu\rm{A}$ per $\rm{fb^{-1}}$, in excellent agreement with predictions.
The silicon effective bandgap has been determined using current versus
temperature scan data after irradiation, with an average value of
$E_{g}=1.16\pm0.03\pm0.04\,\rm{eV}$ obtained. The first observation of n-on-n
sensor type inversion at the LHC has been made, occurring at a fluence of
around $15 \times 10 ^{12}$ of $1\,\rm{MeV\,n_{eq}}$. The only n-on-p sensors
in use at the LHC have also been studied. With an initial fluence of
approximately $\rm{3 \times 10^{12}\,1\,MeV\,n_{eq}}$, a decrease in the
Effective Depletion Voltage (EDV) of around 25\,V is observed, attributed to
oxygen induced removal of boron interstitial sites. Following this initial
decrease, the EDV increases at a comparable rate to the type inverted n-on-n
type sensors, with rates of $(1.43\pm 0.16) \times 10 ^{-12}\,\rm{V} / \, 1 \,
\rm{MeV\,n_{eq}}$ and $(1.35\pm 0.25) \times 10 ^{-12}\,\rm{V} / \, 1 \,
\rm{MeV\,n_{eq}}$ measured for n-on-p and n-on-n type sensors, respectively. A
reduction in the charge collection efficiency due to an unexpected effect
involving the second metal layer readout lines is observed.


title: An incomplete model of RRATs and of nulls mode-changes and subpulses

abstract:
  A model for pulsars with polar-cap magnetic flux density B antiparallel with
rotational spin is described. It recognizes the significance of two elementary
processes, proton production in electromagnetic showers and photoelectric
transitions in ions accelerated through the blackbody radiation field, which
must be present at the polar cap in the antiparallel case, but not for pulsars
of the opposite spin direction. The two populations are likely to be
indistinguishable observationally until curvature radiation pair creation
ceases to be possible. The model generates, and provides a physically realistic
framework for, the polar-cap potential fluctuations and their time-scales that
can produce mode-changes and nulls. The RRATs are then no more than an extreme
case of the more commonly observed nulls. The model is also able to support the
basic features of subpulse drift and to some extent the null-memory phenomenon
that is associated with it. Unfortunately, it appears that the most important
neutron-star parameter for quantitative predictive purposes is the
whole-surface temperature, a quantity which is not readily observable at the
neutron-star ages concerned.


title:
Revisiting the concentration problem of vector fields within a spherical
  cap: a commuting differential operator solution

abstract:
  We propose a novel basis of vector functions, the mixed vector spherical
harmonics that are closely related to the functions $F_{lm}$ of Sheppard and
T\"or\"ok and help us reduce the concentration problem of tangential vector
fields within a spherical cap to an equivalent scalar problem. Exploiting an
analogy with previous results published by Gr\"unbaum and his colleagues, we
construct a differential operator that commutes with the concentration operator
of this scalar problem and propose a stable and convenient method to obtain its
eigenfunctions. Having obtained the scalar eigenfunctions, the calculation of
tangential vector Slepian functions is straightforward.


title: Fixing the EW scale in supersymmetric models after the Higgs discovery

abstract:
  TeV-scale supersymmetry was originally introduced to solve the hierarchy
problem and therefore fix the electroweak (EW) scale in the presence of quantum
corrections. Numerical methods testing the SUSY models often report a good
likelihood L (or chi^2=-2ln L) to fit the data {\it including} the EW scale
itself (m_Z^0) with a {\it simultaneously} large fine-tuning i.e. a large
variation of this scale under a small variation of the SUSY parameters. We
argue that this is inconsistent and we identify the origin of this problem. Our
claim is that the likelihood (or chi^2) to fit the data that is usually
reported in such models does not account for the chi^2 cost of fixing the EW
scale. When this constraint is implemented, the likelihood (or chi^2) receives
a significant correction (delta_chi^2) that worsens the current data fits of
SUSY models. We estimate this correction for the models: constrained MSSM
(CMSSM), models with non-universal gaugino masses (NUGM) or higgs soft masses
(NUHM1, NUHM2), the NMSSM and the general NMSSM (GNMSSM). For a higgs mass
m_h\approx 126 GeV, one finds that in these models (delta_chi^2)/ndf> 1.5
(approx 1 for GNMSSM), which violates the usual condition of a good fit (total
chi^2/ndf approx 1) already before fitting observables other than the EW scale
itself (ndf=number of degrees of freedom). This has (negative) implications for
SUSY models and it is suggested that future data fits properly account for this
effect, if one remains true to the original goal of SUSY. Since the expression
of delta_chi^2 that emerges from our calculation depends on a familiar measure
of fine-tuning, one concludes that EW fine-tuning is an intrinsic part of the
likelihood to fit the data that includes the EW scale (m_Z^0).


title: Computing Gibbs free energy differences by interface pinning

abstract:
  We propose an approach for computing the Gibbs free energy difference between
phases of a material. The method is based on the determination of the average
force acting on interfaces that separate the two phases of interest. This
force, which depends on the Gibbs free energy difference between the phases, is
computed by applying an external harmonic field that couples to a parameter
which specifies the two phases. Validated first for the Lennard-Jones model, we
demonstrate the flexibility, efficiency and practical applicability of this
approach by computing the melting temperatures of sodium, magnesium, aluminum
and silicon at ambient pressure using density functional theory. Excellent
agreement with experiment is found for all four elements, except for silicon,
for which the melting temperature is, in agreement with previous simulations,
seriously underestimated.


title: RF Basics I and II

abstract:
  Maxwell's equations are introduced in their general form, together with a
basic set of mathematical operations needed to work with them. After
simplifying and adapting the equations for application to radio frequency
problems, we derive the most important formulae and characteristic quantities
for cavities and waveguides. Several practical examples are given to
demonstrate the use of the derived equations and to explain the importance of
the most common figures of merit.


title: Loop quantization of the Schwarzschild black hole

abstract:
  We quantize spherically symmetric vacuum gravity without gauge fixing the
diffeomorphism constraint. Through a rescaling, we make the algebra of
Hamiltonian constraints Abelian and therefore the constraint algebra is a true
Lie algebra. This allows the completion of the Dirac quantization procedure
using loop quantum gravity techniques. We can construct explicitly the exact
solutions of the physical Hilbert space annihilated by all constraints. New
observables living in the bulk appear at the quantum level (analogous to spin
in quantum mechanics) that are not present at the classical level and are
associated with the discrete nature of the spin network states of loop quantum
gravity. The resulting quantum space-times resolve the singularity present in
the classical theory inside black holes.


title:
Electromagnetically induced transparency in systems with degenerate
  autoionizing levels in \Lambda-configuration

abstract:
  We discuss a \Lambda-like model of atomic levels involving two autoionizing
(AI) states of the same energy. The system is irradiated by two external
electromagnetic fields (strong -- driving and weak -- probing ones). For such a
system containing degenerate AI levels we derive the analytical formula
describing the medium susceptibility. We show that the presence of the second
AI level lead to the additional electromagnetically induced transparency (EIT)
window appearance. We show that the characteristic of this window can be
manipulated by changes of the parameters describing the interactions of AI
levels with other ones. This is a new mechanism which leads to additional
transparency windows in EIT model, that differs from the mechanism, where a
bigger number of Zeeman sublevels is taken into account.


title: Metrical lower bounds on the discrepancy of digital Kronecker-sequences

abstract:
  Digital Kronecker-sequences are a non-archimedean analog of classical
Kronecker-sequences whose construction is based on Laurent series over a finite
field. In this paper it is shown that for almost all digital
Kronecker-sequences the star discrepancy satisfies $D_N^\ast \ge c(q,s) (\log
N)^s \log \log N$ for infinitely many $N \in \NN$, where $c(q,s)>0$ only
depends on the dimension $s$ and on the order $q$ of the underlying finite
field, but not on $N$. This result shows that a corresponding metrical upper
bound due to Larcher is up to some $\log \log N$ term best possible.


title:
Cosmological constraints on ghost-free bigravity: background dynamics
  and late-time acceleration

abstract:
  The recent discovery of a ghost-free, non-linear extension of the Fierz-Pauli
theory of massive gravity, and its bigravity formulation, introduced new
possibilities of interpreting cosmological observations, in particular, the
apparent late-time accelerated expansion of the Universe. Here we discuss such
possibilities by studying the background cosmology of the model and comparing
its predictions to different cosmological measurements. We place constraints on
the model parameters through an extensive statistical analysis of the model,
and compare its viability to that of the standard model of cosmology. We
demonstrate that the model can yield perfect fits to the data and is capable of
explaining the cosmic acceleration in the absence of an explicit cosmological
constant or dark energy, but there are a few caveats that must be taken into
account when interpreting the results.


title: Resonances on hedgehog manifolds

abstract:
  We discuss resonances for a nonrelativistic and spinless quantum particle
confined to a two- or three-dimensional Riemannian manifold to which a finite
number of semiinfinite leads is attached. Resolvent and scattering resonances
are shown to coincide in this situation. Next we consider the resonances
together with embedded eigenvalues and ask about the high-energy asymptotics of
such a family. For the case when all the halflines are attached at a single
point we prove that all resonances are in the momentum plane confined to a
strip parallel to the real axis, in contrast to the analogous asymptotics in
some metric quantum graphs; we illustrate it on several simple examples. On the
other hand, the resonance behaviour can be influenced by a magnetic field. We
provide an example of such a `hedgehog' manifold at which a suitable
Aharonov-Bohm flux leads to absence of any true resonance, i.e. that
corresponding to a pole outside the real axis.


title: Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals

abstract:
  We study one-dimensional random Jacobi operators corresponding to strictly
ergodic dynamical systems. In this context, we characterize the spectrum of
these operators by non-uniformity of the transfer matrices and the set where
the Lyapunov exponent vanishes. Adapting this result to subshifts satisfying
the so-called Boshernitzan condition, it turns out that the spectrum is
supported on a Cantor set with Lebesgue measure zero. This generalizes earlier
results for Schr\"odinger operators.


title:
Mechanisms of Ignition by Transient Energy Deposition: Regimes of
  Combustion Waves Propagation

abstract:
  Regimes of chemical reaction wave propagating in reactive gaseous mixtures,
whose chemistry is governed by chain-branching kinetics, are studied depending
on the characteristics of a transient thermal energy deposition localized in a
finite volume of reactive gas. Different regimes of the reaction wave
propagation are initiated depending on the amount of deposited thermal energy,
power of the source and the size of the hot spot. The main parameters which
define regimes of the combustion waves facilitated by the transient deposition
of thermal energy are: acoustic timescale, duration of the energy deposition,
ignition time scale and size of the hot spot. The interplay between these
parameters specifies the role of gasdynamical processes, the formation and
steepness of the temperature gradient and speed of the spontaneous wave. The
obtained results show how ignition of one or another regime of combustion wave
depends on the value of energy, rate of the energy deposition and size of the
hot spot, which is important for the practical use and for risk assessment.


title:
Quasi-phase-matching of high-order-harmonic generation using multimode
  polarization beating

abstract:
  The generalization of quasi-phase-matching using polarization beating and of
multimode quasi-phase-matching (MMQPM) for the generation of high-order
harmonics is explored, and a method for achieving polarization beating is
proposed. If two (and in principle more) modes of a waveguide are excited,
modulation of the intensity, phase, and/or polarization of the guided radiation
will be achieved. By appropriately matching the period of this modulation to
the coherence length, quasi-phase-matching of high-order-harmonic radiation
generated by the guided wave can occur. We show that it is possible to achieve
efficiencies with multimode quasi-phase-matching greater than the ideal square
wave modulation. We present a Fourier treatment of QPM and use this to show
that phase modulation, rather than amplitude modulation, plays the dominant
role in the case of MMQPM. The experimental parameters and optimal conditions
for this scheme are explored.


title:
There exist no 4-dimensional geodesically equivalent metrics with the
  same stress-energy tensor

abstract:
  We show that if two 4-dimensional metrics of arbitrary signature on one
manifold are geodesically equivalent (i.e., have the same geodesics considered
as unparameterized curves) and are solutions of the Einstein field equation
with the same stress-energy tensor, then they are affinely equivalent or flat.
Under the additional assumption that the metrics are complete or the manifold
is closed, the result survives in all dimensions >2.


title:
A sharp bilinear estimate for the Klein-Gordon equation in arbitrary
  space-time dimensions

abstract:
  We prove a sharp bilinear inequality for the Klein-Gordon equation on
$\sr^{d+1}$, for any $d \geq 2$. This extends work of Ozawa-Rogers and
Quilodr\'an for the Klein-Gordon equation and generalises work of Bez-Rogers
for the wave equation. As a consequence we obtain a sharp Strichartz estimate
for the solution of the Klein-Gordon equation in five spatial dimensions for
data belonging to $H^1$. We show that maximisers for this estimate do not exist
and that any maximising sequence of initial data concentrates at spatial
infinity.


title: Porous dust grains in debris disks

abstract:
  When modeling the density and grain size distribution in debris disks, the
minimum particle size is often significantly larger than the corresponding
blowout size. While the dust particles are usually modeled as compact,
homogenous spheres, we instead investigate the impact of porosity. The optical
properties of porous particles are determined, and the influences of porosity
on the blowout size and dust temperatures investigated. Using the method of
discrete dipole approximation, we calculate the scattering and absorption cross
sections of porous particles and derive the blowout size and the behavior of
the dust temperature. We investigate the influence on the beta-ratio. Blowout
sizes are calculated for various stellar luminosities and porosities, and an
approximation equation is derived to estimate the blowout size as a function of
these parameters. Furthermore, we investigate the influence of the porosity on
the dust equilibrium temperature. The blowout size increases with the particle
porosity and stellar luminosity. The dust temperature of porous particles is
lower than the one of the compact spheres, in particular the temperature of
blowout grains decreases for porous particles.


title: The LOFT contribution to GRB science

abstract:
  LOFT is a satellite mission currently in Assessment Phase for the ESA M3
selection. The payload is composed of the Large Area Detector (LAD), with 2-50
keV energy band, a peak effective area of about 10 m2 and an energy resolution
better than 260 eV, and the Wide Field Monitor (WFM), a coded mask imager with
a FOV of several steradians, an energy resolution of about 300 eV and a point
source location accuracy of 1 arcmin in the 2-30 keV energy range. Based on
preliminary considerations and estimates, we show how the scientific
performances of the WFM are particularly suited to investigate some of the most
relevant open issues in the study of GRBs: the physics of the prompt emission,
the spectral absorption features by circum-burst material (and hence the nature
of the progenitors), the population and properties of XRFs, and the detection
and rate of high-z GRBs. Measurements of the early afterglow emission with the
Large Area Detector (LAD) may also be possible depending on the mission slewing
capabilities and TOO observations policy. More refined analysis and simulations
are in progress.


title: Fluid dynamics of bacterial turbulence

abstract:
  Self-sustained turbulent structures have been observed in a wide range of
living fluids, yet no quantitative theory exists to explain their properties.
We report experiments on active turbulence in highly concentrated 3D
suspensions of Bacillus subtilis and compare them with a minimal fourth-order
vector-field theory for incompressible bacterial dynamics. Velocimetry of
bacteria and surrounding fluid, determined by imaging cells and tracking
colloidal tracers, yields consistent results for velocity statistics and
correlations over two orders of magnitude in kinetic energy, revealing a
decrease of fluid memory with increasing swimming activity and linear scaling
between energy and enstrophy. The best-fit model parameters allow for
quantitative agreement with experimental data.


title:
Evolution of magnetic and crystal structures in the multiferroic
  FeTe2O5Br

abstract:
  Neutron diffraction and nuclear quadrupole resonance (NQR) measurements were
employed to investigate magnetic order in the non-ferroelectric phase preceding
the low-temperature multiferroic state in FeTe2O5Br. Refnement of the neutron
diffraction data and simulations of 79,81Br NQR spectra reveal that the
incommensurate magnetic ordering in the non-ferroelectric state comprises
amplitude-modulated magnetic moments, similarly as in the multiferroic state.
The two ordered states differ in the orientation of the magnetic moments and
phase shifts between modulation waves. Surprisingly, all symmetry restrictions
for the electric polarization are absent in both states. The different
ferroelectric responses of the two states are thus argued to arise from the
differences in the phase shifts between certain modulation waves, which cancel
out in the non-ferrolectric state.


title: Rates for irreversible Gibbsian Ising models

abstract:
  Dynamics under which a system of Ising spins relaxes to a stationary state
with Bolzmann-Gibbs measure and which do not fulfil the condition of detailed
balance are irreversible and asymmetric. We revisit the problem of the
determination of rates yielding such a stationary state for models with
single-spin flip dynamics. We add some supplementary material to this study and
confirm that Gibbsian irreversible Ising models exist for one and
two-dimensional lattices but not for the three-dimensional cubic lattice. We
also analyze asymmetric Gibbsian dynamics in the limit of infinite temperature.
We finally revisit the case of a linear chain of spins under asymmetric
conserved dynamics.


title:
Opportunistic Interference Alignment for MIMO Interfering
  Multiple-Access Channels

abstract:
  We consider the $K$-cell multiple-input multiple-output (MIMO) interfering
multiple-access channel (IMAC) with time-invariant channel coefficients, where
each cell consists of a base station (BS) with $M$ antennas and $N$ users
having $L$ antennas each. In this paper, we propose two opportunistic
interference alignment (OIA) techniques utilizing multiple transmit antennas at
each user: antenna selection-based OIA and singular value decomposition
(SVD)-based OIA. Their performance is analyzed in terms of \textit{user scaling
law} required to achieve $KS$ degrees-of-freedom (DoF), where $S(\le M)$
denotes the number of simultaneously transmitting users per cell. We assume
that each selected user transmits a single data stream at each time-slot. It is
shown that the antenna selection-based OIA does not fundamentally change the
user scaling condition if $L$ is fixed, compared with the single-input
multiple-output (SIMO) IMAC case, which is given by $\text{SNR}^{(K 1)S}$,
where SNR denotes the signal-to-noise ratio. In addition, we show that the
SVD-based OIA can greatly reduce the user scaling condition to
$\text{SNR}^{(K-1)S-L+1}$ through optimizing a weight vector at each user.
Simulation results validate the derived scaling laws of the proposed OIA
techniques. The sum-rate performance of the proposed OIA techniques is compared
with the conventional techniques in MIMO IMAC channels and it is shown that the
proposed OIA techniques outperform the conventional techniques.


title: Fundamental bound on the reliability of quantum information transmission

abstract:
  Information theory tells us that if the rate of sending information across a
noisy channel were above the capacity of that channel, then the transmission
would necessarily be unreliable. For classical information sent over classical
or quantum channels, one could, under certain conditions, make a stronger
statement that the reliability of the transmission shall decay exponentially to
zero with the number of channel uses and the proof of this statement typically
relies on a certain fundamental bound on the reliability of the transmission.
Such a statement or the bound has never been given for sending quantum
information. We give this bound and then use it to give the first example where
the reliability of sending quantum information at rates above the capacity
decays exponentially to zero. We also show that our framework can be used for
proving generalized bounds on the reliability.


title:
Hole sp3-character and delocalization in (Ga,Mn)As revised with pSIC and
  MLWF approaches - newly found spin-unpolarized gap states of s-type below 1%
  of Mn

abstract:
  The dilute magnetic semiconductor (Ga,Mn)As is ferromagnetic in accordance
with the p-d Zener model. Hole density function (HDF) localization has been
previously studied by means of the density functional theory (DFT) and
non-standard DFT methods; however not for dopings near 1%. We have revised
(Ga,Mn)As using the DFT with the pseudopotential self-interaction correction
(pSIC) and maximally-localized Wannier functions (MLWFs), which show the sp3
character of a HDF. Nature of HDF is extended - for low dopings and the pSIC,
70% of the HDF is located within the inter-impurities region, and contribution
of the 3d-Mn states is 3-5% for 1-3% of Mn with the pSIC, and 11% with the DFT.
We found that for dopings below 1%, the spin-unpolarized s-type impurity states
segregate from the conduction band to the energy gap - in contrast to earlier
publications. This implies that donor co-doped dilute samples would be both
insulating and nonmagnetic.


title:
A Laboratory-Scale Experiment and a Numerical Simulation of Unusual
  Spiral Plumes in a High-Prandtl-number Fluid

abstract:
  We experimentally and numerically investigated the generation of plumes from
a local heat source (LHS) and studied the interaction of these plumes with
cellular convective motion (CCM) in a rectangular cavity filled with silicon
oil at a Prandtl number (Pr) of approximately two thousand. The LHS is
generated using a 0.2-W green laser beam. A roll-type CCM is generated by
vertically heating one side of the cavity. The CCM may lead to the formation of
an unusual spiral convective plume that resembles a vertical Archimedes spiral.
A similar plume is obtained in a direct numerical simulation. We discuss the
physical mechanism for the formation of a spiral plume and the application of
the results to mantle convection problems. We also estimate the Reynolds (Re)
and Rayleigh (Ra) numbers and apply self-similarity theory to convection in the
Earth's mantle. Spiral plumes can be used to interpret mantle tomography
results over the last decade.


title: On Kesten's Multivariate Choquet-Deny Lemma

abstract:
  Let $d >1$ and $(A_n)_{n \ge 1}$ be a sequence of independent identically
distributed random matrices with nonnegative entries and no zero column. This
induces a Markov chain $M_n = A_n M_{n-1}$ on the cone of d-vectors with
nonnegative entries. We study harmonic functions of this Markov chain.
Considering a polar decomposition $M_n = X_n \exp(S_n)$, where $X_n$ is a
vector of unit length, and $S_n$ a real valued random variable, it is in
particular shown that all "compound" harmonic functions $L(x,s)=f(x)g(s)$ are
constant. The idea of the proof is originally due to Kesten [Renewal theory for
functionals of a Markov chain with general state space, Ann. Prob. 2 (1974),
355 - 386], but is considerably shortened here. A similar result for invertible
matrices is given as well.


title: Scaling of the entanglement spectrum near quantum phase transitions

abstract:
  The entanglement spectrum describing quantum correlations in many-body
systems has been recently recognized as a key tool to characterize different
quantum phases, including topological ones. Here we derive its analytically
scaling properties in the vicinity of some integrable quantum phase transitions
and extend our studies also to non integrable quantum phase transitions in one
dimensional spin models numerically. Our analysis shows that, in all studied
cases, the scaling of the difference between the two largest non degenerate
Schmidt eigenvalues yields with good accuracy critical points and mass scaling
exponents.

categories: cond-mat.str-el cond-mat.other cond-mat.supr-con quant-ph


title:
Generating and controlling spin-polarized currents induced by a quantum
  spin Hall antidot

abstract:
  We study an electrically controlled quantum spin Hall antidot embedded in a
two-dimensional topological insulating bar. Helical edge states around the
antidot and along the edges of the bar are tunnel coupled. The close connection
between spin and chirality, typical of helical systems, allows to generate a
spin-polarized current flowing across the bar. This current is studied as a
function of the external voltages, by varying the asymmetry between the
barriers. For asymmetric setups, a switching behavior of the spin current is
observed as the bias is increased, both in the absence and in the presence of
electron interactions. This device allows to generate and control the
spin-polarized current by simple electrical means.


title: A new class of spaces with all finite powers Lindelof

abstract:
  We consider a new class of open covers and classes of spaces defined from
them, called "iota spaces". We explore their relationship with epsilon-spaces
(that is, spaces having all finite powers Lindelof) and countable network
weight. An example of a hereditarily epsilon-space whose square is not
hereditarily Lindelof is provided.


title: Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions

abstract:
  We study the scattering amplitudes of mass-deformed Chern-Simons theories and
Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In
particular, we derive the on-shell supersymmetry algebras which underlie the
scattering matrices of these theories. We then compute various 3 and 4-point
on-shell tree-level amplitudes in these theories. For the mass-deformed
Chern-Simons theory, odd-point amplitudes vanish and we find that all of the
4-point amplitudes can be encoded elegantly in superamplitudes. For the
Yang-Mills-Chern-Simons theory, we obtain all of the 4-point tree-level
amplitudes using a combination of perturbative techniques and algebraic
constraints and we comment on difficulties related to computing amplitudes with
external gauge fields using Feynman diagrams. Finally, we propose a BCFW
recursion relation for mass-deformed theories in three dimensions and discuss
the applicability of this proposal to mass-deformed N=2 theories.


title:
Global Jacquet-Langlands correspondence for division algebras in
  characteristic p

abstract:
  We prove a full global Jacquet-Langlands correspondence between GL(n) and
division algebras over global fields of non zero characteristic. If $D$ is a
central division algebra of dimension $n^2$ over a global field $F$ of non zero
characteristic, we prove that there exists an injective map from the set of
automorphic square integrable representations of the multiplicative group of
$D$ to the set of automorphic square integrable representations of GL_n(F),
compatible at all places with the local Jacquet-Langlands correspondence for
unitary representations. We characterize the image of the map. As a consequence
we get multiplicity one and strong multiplicity one theorems for the
multiplicative group of D.


title: On the Casimir repulsion in sphere-plate geometry

abstract:
  The electromagnetic vacuum energy is considered in the presence of a
perfectly conducting plane and a ball with dielectric permittivity
$\varepsilon$ and magnetic permeability $\mu$, $\mu\ne1$. The attention is
focused on the Casimir repulsion in this system caused by magnetic permeability
of the sphere. In the case of perfectly permeable sphere, $\mu=\infty$, the
vacuum energy is estimated numerically. The short and long distance asymptotes
corresponding to the repulsive force and respective low temperature corrections
and high temperature limits are found for a wide range of $\mu$. The
constraints on the Casimir repulsion in this system are discussed.


title: Fine Tuning in the Constrained Exceptional Supersymmetric Standard Model

abstract:
  Supersymmetric unified models in which the Z' couples to the Higgs doublets,
as in the E6 class of models, have large fine tuning dominated by the
experimental mass limit on the Z'. To illustrate this we investigate the degree
of fine tuning throughout the parameter space of the Constrained Exceptional
Supersymmetric Standard Model (cE6SSM) that is consistent with a Higgs mass m_h
~ 125 GeV. Fixing tan beta = 10, and taking specific values of the mass of the
Z' boson, with M_Z' ~ 2-4 TeV. We find that the minimum fine tuning is set
predominantly from the mass of Z' and varies from ~ 200-400 as we vary M_Z'
from ~ 2-4 TeV. However, this is significantly lower than the fine tuning in
the Constrained Minimal Supersymmetric Standard Model (cMSSM), of O(1000),
arising from the large stop masses required to achieve the Higgs mass.


title:
Beam Test Studies of 3D Pixel Sensors Irradiated Non-Uniformly for the
  ATLAS Forward Physics Detector

abstract:
  Pixel detectors with cylindrical electrodes that penetrate the silicon
substrate (so called 3D detectors) offer advantages over standard planar
sensors in terms of radiation hardness, since the electrode distance is
decoupled from the bulk thickness. In recent years significant progress has
been made in the development of 3D sensors, which culminated in the sensor
production for the ATLAS Insertable B-Layer (IBL) upgrade carried out at CNM
(Barcelona, Spain) and FBK (Trento, Italy). Based on this success, the ATLAS
Forward Physics (AFP) experiment has selected the 3D pixel sensor technology
for the tracking detector. The AFP project presents a new challenge due to the
need for a reduced dead area with respect to IBL, and the in-homogeneous nature
of the radiation dose distribution in the sensor. Electrical characterization
of the first AFP prototypes and beam test studies of 3D pixel devices
irradiated non-uniformly are presented in this paper.


title: Intrinsic robust antiferromagnetism at manganite surfaces and interfaces

abstract:
  Ferromagnetic/metallic manganese perovskites, such as La2/3Sr1/3MnO3
(LSMO)are promising materials for the design and implementation of novel
spintronic devices working at room temperature. However, their implementation
in practical applications has been severely hampered due to the breakdown of
their magnetotransport properties at temperatures well below their magnetic
transition temperature. This breakdown has been usually associated to surface
and interface related problems but its physical origin has not been clearly
established yet. In this work we investigate the interface between
La2/3Sr1/3MnO3 (LSMO) thin films and different capping layers by means of x-ray
linear dichroism and transport measurements. Our data reveal that, irrespective
to the capping material, LSMO/capping layer bilayers exhibit an
antiferromegnetic/insulating phase at the interface, likely to originate from a
preferential occupancy of Mn 3d 3z2-r2 eg orbitals. This phase, which extends
ca. 2 unit cells, is also observed in an uncapped LSMO reference sample thus,
pointing to an intrinsic interfacial phase separation phenomenon, likely to be
promoted by the structural disruption and symmetry breaking at the LSMO free
surface/interface. These experimental observations strongly suggest that the
structural disruption at the LSMO interfaces play a major role on the observed
depressed magnetotransport properties in manganite-based magnetic tunneling
junctions and it is at the origin of the so-called dead layer.


title: New Instantons in AdS_4/CFT_3 from D4-Branes Wrapping Some of CP^3

abstract:
  With use of a 6-form field strength of ten-dimensional type IIA supergravity
over AdS_4 x CP^3, when S^7/Z_k is considered as a S^1 Hopf fibration on CP^3,
we earn a fully localized solution in the bulk of Euclideanized AdS_4. Indeed,
this object appears in the external space because of wrapping a D4(M5)-brane
over some parts of the respective internal spaces. Interestingly, this
supersymmetry breaking SU(4)x U(1)-singlet mode exists in already known spectra
when one uses the 8_c gravitino representation of SO(8). To adjust the boundary
theory, we should swap the original 8_s and 8_c representations for
supercharges and fermions in the Aharony-Bergman-Jafferis-Maldacena model. The
procedure could later be interpreted as adding an anti-D4(M5)-brane to the
prime N=6 membrane theory resulting in a N=0 antimembrane theory while other
symmetries are preserved. Then, according to the well-known state-operator
correspondence rules, we find a proper dual operator with the conformal
dimension of {\Delta}=3 that matches to the bulk massless pseudoscalar state.
After that, by making use of some fitting ansatzs for the used matter fields,
we arrive at an exact boundary solution and comment on the other related issues
as well.


title: Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

abstract:
  We prove inequalities of Hardy type for functions in Triebel-Lizorkin spaces
$F^s_{pq}(G)$ on a domain $G\subset\mathbb{R}^n$, whose boundary has the Aikawa
dimension strictly less than $n-sp$.


title: Persistence of Hardy's nonlocality in time

abstract:
  Hardy's nonlocality argument, which establishes incompatibility of quantum
theory with local-realism, can also be used to reveal the time-nonlocal feature
of quantum states. For spin-1/2 systems, the maximum probability of success of
this argument is known to be 25%. We show that this maximum remains 25% for all
finite-dimensional quantum systems with suitably chosen observables. This
enables a test of the quantum properties of macroscopic systems in analogy to
the method of Leggett and Garg.


title:
Homological approach to the Hernandez-Leclerc construction and quiver
  varieties

abstract:
  In a previous paper the authors have attached to each Dynkin quiver an
associative algebra. The definition is categorical and the algebra is used to
construct desingularizations of arbitrary quiver Grassmannians. In the present
paper we prove that this algebra is isomorphic to an algebra constructed by
Hernandez-Leclerc defined combinatorially and used to describe certain graded
Nakajima quiver varieties. This approach is used to get an explicit realization
of the orbit closures of representations of Dynkin quivers as affine quotients.


title:
Scalar dark matter and fermion coannihilations in the radiative seesaw
  model

abstract:
  By extending the Standard Model with three right-handed neutrinos (N_i) and a
second Higgs doublet (H_2), odd under a Z_2 symmetry, it is possible to explain
non-zero neutrino masses and to account for the dark matter. We consider the
case where the dark matter is a scalar and study its coannihilations with the
right-handed neutrinos. These coannihilations tend to increase, rather than
reduce, the dark matter density and they modify in a significant way the viable
parameter space of the model. In particular, they allow to satisfy the relic
density constraint for dark matter masses well below 500 GeV. The dependence of
the relic density on the relevant parameters of the model, such as the dark
matter mass, the mass splitting, and the number of coannihilating fermions, is
analyzed in detail. We also investigate, via a scan over the parameter space,
the new viable regions that are obtained when coannihilations are taken into
account. Notably, they feature large indirect detection rates, with sigmav
reaching values of order 10^{-24} cm^3/s. Finally, we emphasize that
coannihilation effects analogous to those discussed here can be used to
reconcile a thermal freeze-out with a large sigmav also in other models of dark
matter.


title: Some conjectures in elementary number theory

abstract:
  We announce a number of conjectures associated with and arising from a study
of primes and irrationals in $\mathbb{R}$. All are supported by numerical
verification to the extent possible.


title: Nanoscale plasmonic circulator

abstract:
  Here, we propose a conceptual approach for design of an ultracompact
nanoscale passive optical circulator based on the excitation of plasmonic
resonances. We study a three-port Y-junction with a deep subwavelength
plasmonic nanorod structure integrated into its core. We show theoretically
that such a structure immersed in the magneto-optical media may function as
magnetically tunable scatterer tilting and rotating its near-field distribution
and corresponding radiation. We demonstrate, using numerical simulations, that
such a rotation of the near-field radiation yields a break in the symmetry of
the coupling between the junction arms and the structure in such a way that the
signal launched from any of the three ports is mostly transmitted into the next
port in the circular order, while the other port is essentially isolated, thus
providing the functionality of an optical circulator with subwavelength
dimensions.


title: Borcherds Products for U(1,1)

abstract:
  The Borcherds lift for indefinite unitary groups, previously constructed by
the author, is examined here in greater detail for the special case of the
group U(1,1). The inputs for the lifting in this case are weakly holomorphic
modular forms of weight zero, which are lifted to meromorphic modular forms on
the usual complex upper half plane transforming under an arithmetic subgroup of
U(1,1). In this setting, we can completely describe the Weyl-chambers involved
and explicitly calculate the attached Weyl-vectors, for a family of input
functions with principle part $q^{-n}$. Since these are a basis for the input
space, we obtain similarly explicit results for arbitrary input functions. The
Heegner divisors in this case consist of CM-points, the CM-order of which is
also determined.


title:
Dynamic Memory Allocation Policies for Postings in Real-Time Twitter
  Search

abstract:
  We explore a real-time Twitter search application where tweets are arriving
at a rate of several thousands per second. Real-time search demands that they
be indexed and searchable immediately, which leads to a number of
implementation challenges. In this paper, we focus on one aspect: dynamic
postings allocation policies for index structures that are completely held in
main memory. The core issue can be characterized as a "Goldilocks Problem".
Because memory remains today a scare resource, an allocation policy that is too
aggressive leads to inefficient utilization, while a policy that is too
conservative is slow and leads to fragmented postings lists. We present a
dynamic postings allocation policy that allocates memory in increasingly-larger
"slices" from a small number of large, fixed pools of memory. Through
analytical models and experiments, we explore different settings that balance
time (query evaluation speed) and space (memory utilization).


title: Borromean surgery equivalence of spin 3-manifolds with boundary

abstract:
  Matveev introduced Borromean surgery on 3-manifolds, and proved that the
equivalence relation on closed, oriented 3-manifolds generated by Borromean
surgeries is characterized by the first homology group and the torsion linking
pairing. Massuyeau generalized this result to closed, spin 3-manifolds, and the
second author to compact, oriented 3-manifolds with boundary. In this paper we
give a partial generalization of these results to compact, spin 3-manifolds
with boundary.


title: Multicolor Ramsey numbers for triple systems

abstract:
  Given an $r$-uniform hypergraph $H$, the multicolor Ramsey number $r_k(H)$ is
the minimum $n$ such that every $k$-coloring of the edges of the complete
$r$-uniform hypergraph $K_n^r$ yields a monochromatic copy of $H$. We
investigate $r_k(H)$ when $k$ grows and $H$ is fixed. For nontrivial 3-uniform
hypergraphs $H$, the function $r_k(H)$ ranges from $\sqrt{6k}(1+o(1))$ to
double exponential in $k$.
  We observe that $r_k(H)$ is polynomial in $k$ when $H$ is $r$-partite and at
least single-exponential in $k$ otherwise. Erd\H{o}s, Hajnal and Rado gave
bounds for large cliques $K_s^r$ with $s\ge s_0(r)$, showing its correct
exponential tower growth. We give a proof for cliques of all sizes, $s>r$,
using a slight modification of the celebrated stepping-up lemma of Erd\H{o}s
and Hajnal.
  For 3-uniform hypergraphs, we give an infinite family with
sub-double-exponential upper bound and show connections between graph and
hypergraph Ramsey numbers. Specifically, we prove that $$r_k(K_3)\le
r_{4k}(K_4^3-e)\le r_{4k}(K_3)+1,$$ where $K_4^3-e$ is obtained from $K_4^3$ by
deleting an edge.
  We provide some other bounds, including single-exponential bounds for
$F_5=\{abe,abd,cde\}$ as well as asymptotic or exact values of $r_k(H)$ when
$H$ is the bow $\{abc,ade\}$, kite $\{abc,abd\}$, tight path $\{abc,bcd,cde\}$
or the windmill $\{abc,bde,cef,bce\}$. We also determine many new "small"
Ramsey numbers and show their relations to designs. For example, the lower
bound for $r_6(kite)=8$ is demonstrated by decomposing the triples of $[7]$
into six partial STS (two of them are Fano planes).


title:
An Isogeometric Boundary Element Method for elastostatic analysis: 2D
  implementation aspects

abstract:
  The concept of isogeometric analysis, whereby the parametric func- tions that
are used to describe CAD geometry are also used to approx- imate the unknown
fields in a numerical discretisation, has progressed rapidly in recent years.
This paper advances the field further by outlin- ing an isogeometric Boundary
Element Method (IGABEM) that only re- quires a representation of the geometry
of the domain for analysis, fitting neatly with the boundary representation
provided completely by CAD. The method circumvents the requirement to generate
a boundary mesh representing a significant step in reducing the gap between
engineering design and analysis. The current paper focuses on implementation
details of 2D IGABEM for elastostatic analysis with particular attention paid
towards the differences over conventional boundary element implementa- tions.
Examples of Matlab R{\deg} code are given whenever possible to aid
understanding of the techniques used.


title: Field distribution analysis in deflecting structures

abstract:
  Deflecting structures are used now manly for bunch rotation in emittance
exchange concepts, bunch diagnostics and to increase the luminosity. The bunch
rotation is a transformation of a particles distribution in the six dimensional
phase space. Together with the expected transformations, deflecting structures
introduce distortions due to particularities - aberrations - in the deflecting
field distribution. The distributions of deflecting fields are considered with
respect to non linear additions, which provide emittance deteriorations during
a transformation. The deflecting field is treated as combination of hybrid
waves HE 1 and HM_1. The criteria for selection and formation of deflecting
structures with minimized level of aberrations are formulated and applied to
known structures. Results of the study are confirmed by comparison with results
of numerical simulations.


title:
Properties of squeezing functions and global transformations of bounded
  domains

abstract:
  The central purpose of the present paper is to study boundary behavior of
squeezing functions on bounded domains. We prove that the squeezing function of
a strongly pseudoconvex domain tends to 1 near the boundary. In fact, such an
estimate is proved for the squeezing function on any domain near its globally
strongly convex boundary points. We also study the stability of squeezing
functions on a sequence of bounded domains, and give comparisons of intrinsic
measures and metrics on bounded domains in terms of squeezing functions. As
applications, we give new and simple proofs of several well known results about
geometry of strongly pseudoconvex domains, and prove that all Cartan-Hartogs
domains are homogenous regular. Finally, some related problems that ask for
further study are proposed.


title: Interpretation of the Hubble diagram in a nonhomogeneous universe

abstract:
  In the standard cosmological framework, the Hubble diagram is interpreted by
assuming that the light emitted by standard candles propagates in a spatially
homogeneous and isotropic spacetime. However, the light from "point
sources"--such as supernovae--probes the Universe on scales where the
homogeneity principle is no longer valid. Inhomogeneities are expected to
induce a bias and a dispersion of the Hubble diagram. This is investigated by
considering a Swiss-cheese cosmological model, which (1) is an exact solution
of the Einstein field equations, (2) is strongly inhomogeneous on small scales,
but (3) has the same expansion history as a strictly homogeneous and isotropic
universe. By simulating Hubble diagrams in such models, we quantify the
influence of inhomogeneities on the measurement of the cosmological parameters.
Though significant in general, the effects reduce drastically for a universe
dominated by the cosmological constant.


title: Novel Features of the Transport Coefficients in Lifshitz Black Branes

abstract:
  We study the transport coefficients, including the conductivities and shear
viscosity of the non-relativistic field theory dual to the Lifshitz black brane
with multiple U(1) gauge fields by virtue of the gauge/gravity duality.
Focusing on the case of double U(1) gauge fields, we systematically investigate
the electric, thermal and thermoelectric conductivities for the dual
non-relativistic field theory. In the large frequency regime, we find a
nontrivial power law behavior in the electric AC conductivity when the
dynamical critical exponent z>1 in (2+1)-dimensional field theory. The
relations between this novel feature and the `symmetric hopping model' in
condensed matter physics are discussed. In addition, we also show that the
Kovtun-Starinets-Son bound for the shear viscosity to the entropy density is
not violated by the additional U(1) gauge fields and dilaton in the Lifshitz
black brane.


title: Flow Vorticity in Peripheral High Energy Heavy Ion Collisions

abstract:
  The vorticity development is studied in the reaction plane of peripheral
relativistic heavy ion reactions where the initial state has substantial
angular momentum. The earlier predicted rotation effect and Kelvin Helmholtz
Instability, lead to significant initial vorticity and circulation. In low
viscosity QGP this vorticity remains still significant at the time of freeze
out of the system, even if damping due to the explosive expansion and the
dissipation decreases the vorticity and circulation. In the reaction plane the
vorticity arises from the initial angular momentum, and it is stronger than in
the transverse plane where vorticity is caused by random fluctuations only.


title: Quantum Fisher Information as the Convex Roof of Variance

abstract:
  Quantum Fisher information places the fundamental limit to the accuracy of
estimating an unknown parameter. Here we shall provide the quantum Fisher
information an operational meaning: a mixed state can be so prepared that a
given observable has the minimal averaged variance, which equals exactly to the
quantum Fisher information for estimating an unknown parameter generated by the
unitary dynamics with the given observable as Hamiltonian. In particular we
shall prove that the quantum Fisher information is the convex roof of the
variance, as conjectured by Toth and Petz based on numerical and analytical
evidences, by constructing explicitly a pure-state ensemble of the given mixed
state in which the averaged variance of a given observable equals to the
quantum Fisher information.


title: Doubly commuting submodules of the Hardy module over polydiscs

abstract:
  In this note we establish a vector-valued version of Beurling's Theorem (the
Lax-Halmos Theorem) for the polydisc. As an application of the main result, we
provide necessary and sufficient conditions for the completion problem in
$H^\infty(\mathbb{D}^n)$.


title:
New {\beta} Cephei variable in the Southern open cluster NGC 6200: ALS
  3728

abstract:
  We report the evidence of a new $\beta$ Cephei type variable located in the
Southern open cluster \astrobj{NGC 6200}: \astrobj{ALS 3728}. Spectroscopic and
photometric observations of NGC\,6200 stars were carried out at the South
African Astronomical Observatory (SAAO) in 2011. It was found that \astrobj{ALS
3728} has a frequency of about 4.95 d$^{-1}$ with highest amplitude. The star
also shows a remarkable stillstand phase just before its light maxima which is
a typical characteristic occurring among these type of stars. Furthermore, a
mode identification is applied for the dominant frequency that is calculated
from the Fourier analysis.


title: Magnetic bag like solutions to the SU(2) monopole equations on R^3

abstract:
  Solutions to the SU(2) monopole equations in the Bogolmony limit are
constructed that look very much like Bolognesi's conjectured magnetic bag
solutions. Three theorems are also stated and proved that give bounds in terms
of the topological charge for the radii of balls where the solution's Higgs
field has very small norm


title:
On the evolution and environmental dependence of the star formation rate
  versus stellar mass relation since z~2

abstract:
  This paper discusses the evolution of the correlation between galaxy star
formation rates (SFRs) and stellar mass (M*) over the last ~10 Gyrs,
particularly focusing on its environmental dependence. We first present the
mid-infrared (MIR) properties of the H-alpha-selected galaxies in a rich
cluster Cl0939+4713 at z=0.4. With a MIR stacking analysis, we find that the
median SFR of H-alpha emitters is higher in higher-density environment at
z=0.4. We also find that star-forming galaxies in high-density environment tend
to have higher specific SFR (SSFR), although the trend is much less significant
compared to that of SFR. This increase of SSFR in high-density environment is
not visible when we consider the SFR derived from H-alpha alone, suggesting
that the dust attenuation in galaxies depends on environment; galaxies in
high-density environment tend to be dustier (by up to ~0.5 mag). We then
discuss the environmental dependence of the SFR-M* relation for star-forming
galaxies since z~2, by compiling our comparable, narrow-band selected, large
H-alpha emitter samples in both distant cluster environments (from
MAHALO-Subaru) and field environments (from HiZELS). We find that the SSFR of
H-alpha-selected galaxies (at the fixed mass of log(M*/Msun)=10) rapidly
evolves as (1+z)^3, but the SFR-M* relation is independent of the environment
since z~2, as far as we rely on the H-alpha-based SFRs (with M*-dependent
extinction correction). Even if we consider the possible environmental
variation in the dust attenuation, we conclude that the difference in the
SFR-M* relation between cluster and field star-forming galaxies is always small
(~<0.2dex level) at any time in the history of the Universe since z~2.
[abridged]


title:
The chiral color symmetry of quarks and $G'$-boson contributions to
  charge asymmetry in $t \bar t$-production at the LHC and Tevatron

abstract:
  The contributions of $G'$-boson predicted by the chiral color symmetry of
quarks to the charge asymmetry $A_C(p p \to t\bar{t})$ in $t \bar{t}$
production at the LHC and to the forward-backward asymmetry $A_{\rm
FB}(p\bar{p} \to t\bar{t})$ in $t\bar{t}$ production at the Tevatron are
calculated and analysed in dependence on two free parameters of the model, the
$G'$ mass $m_{G'}$ and mixing angle $\theta_G$. The $m_{G'} - \theta_G$ regions
of $1 \sigma$ consistency with the CMS data on the cross section $\sigma(pp \to
t\bar{t})$ and on the charge asymmetry $A_C(p p \to t\bar{t})$ are found and
compared with those resulted from the CDF data on the cross section
$\sigma(p\bar{p} \to t\bar{t})$ and on the forward-backward asymmetry $A_{\rm
FB}(p\bar{p} \to t\bar{t})$ of $t \bar{t}$ production at the Tevatron with
account of the current SM predictions for $A_{\rm FB}(p\bar{p} \to t\bar{t})$.


title:
Dynamical symmetry between spin and charge excitations studied by a
  plaquette mean-field approach in two dimensions

abstract:
  The real-time dynamics of local occupation numbers in a Hubbard model on a
6x6 square lattice is studied by means of the non-equilibrium generalization of
the cluster-perturbation theory. The cluster approach is adapted to studies of
two-dimensional lattice systems by using concepts of multiple-scattering theory
and a component decomposition of the non-equilibrium Green's function on the
Keldysh-Matsubara contour. We consider "classical" initial states formed as
tensor products of states on 2x2-plaquettes and trace the effects of the
inter-plaquette hopping in the final-state dynamics. Two different initially
excited states are considered on an individual plaquette, a fully polarized
staggered spin state (N\'eel) and a fully polarized charge-density wave (CDW).
The final-state dynamics is constrained by a dynamical symmetry, i.e. the
time-evolution operator and certain observables are invariant under an
anti-unitary transformation composed of time reversal, an asymmetric
particle-hole, and a staggered sign transformation. We find an interesting
interrelation between this dynamical symmetry and the separation of energy and
time scales: In case of a global excitation with all plaquettes excited, the
initial N\'eel and the initial CDW states are linked by the transformation.
This prevents an efficient relaxation of the CDW state on the short time scale
governing the dynamics of charge degrees of freedom. Contrary, the CDW state is
found to relax much faster than the N\'eel state in case of a local excitation
on a single plaquette where the symmetry relation between the two states is
broken by the coupling to the environment.


title:
Identification of a strong contamination source for graphene in vacuum
  systems

abstract:
  To minimize parasitic doping effects caused by uncontrolled material
adsorption, graphene is often investigated under vacuum. Here we report an
entirely unexpected phenomenon occurring in vacuum systems, namely strong
n-doping of graphene due to chemical species generated by common ion
high-vacuum gauges. The effect --reversible upon exposing graphene to air-- is
significant, as doping rates can largely exceed 10^{12} cm^{-2}/hour, depending
on pressure and the relative position of the gauge and the graphene device. It
is important to be aware of the phenomenon, as its basic manifestation can be
mistakenly interpreted as vacuum-induced desorption of p-dopants.


title:
Constraining GRB as Source for UHE Cosmic Rays through Neutrino
  Observations

abstract:
  The origin of ultra-high energy cosmic rays (UHECR) has been widely regarded
as one of the major questions in the frontiers of particle astrophysics. Gamma
ray bursts (GRB), the most violent explosions in the universe second only to
the Big Bang, have been a popular candidate site for UHECR productions. The
recent IceCube report on the non-observation of GRB induced neutrinos therefore
attracts wide attention. This dilemma requires a resolution: either the
assumption of GRB as UHECR accelerator is to be abandoned or the expected GRB
induced neutrino yield was wrong. It has been pointed out that IceCube has
overestimated the neutrino flux at GRB site by a factor of $\sim 5$. In this
paper we point out that, in addition to the issue of neutrino production at
source, the neutrino oscillation and the possible neutrino decay during their
flight from GRB to Earth should further reduce the detectability of IceCube,
which is most sensitive to the muon-neutrino flavor as far as point-source
identification is concerned. Specifically, neutrino oscillation will reduce the
muon-neutrino flavor ratio from 2/3 per neutrino at GRB source to 1/3 on Earth,
while neutrino decay, if exists and under the assumption of normal hierarchy of
mass eigenstates, would result in a further reduction of muon-neutrino ratio to
1/8. With these in mind, we note that there have been efforts in recent years
in pursuing other type of neutrino telescopes based on Askaryan effect, which
can in principle observe and distinguish all three flavors with comparable
sensitivities. Such new approach may therefore be complementary to IceCube in
shedding more lights on this cosmic accelerator question.


title:
Multiple Andreev reflections spectroscopy of two-gap 1111- and 11
  Fe-based superconductors

abstract:
  Using the "break-junction" technique we prepared and studied superconductor -
constriction - superconductor nanocontacts in polycrystalline samples of
Fe-based superconductors CeO$_{0.88}$F$_{0.12}$FeAs (Ce-1111; $T_C^{\rm bulk} =
41 \pm 1 K$), LaO$_{0.9}$F$_{0.1}$FeAs (La-1111; $T_C^{\rm bulk} = 28 \pm 1
K$), and FeSe ($T_C^{\rm bulk} = 12 \pm 1 K$). We detected two subharmonic gap
structures related with multiple Andreev reflections, indicating the presence
of two superconducting gaps with the BCS-ratios $2\Delta_L/k_BT_C = 4.2 \div
5.9$ and $2\Delta_S/k_BT_C\sim 1 \ll 3.52$, respectively. Temperature
dependences of the two gaps $\Delta_{L,S}(T)$ in FeSe indicate a $k$-space
proximity effect between two superconducting condensates. For the studied
iron-based superconductors we found a linear relation between the gap
$\Delta_L$ and magnetic resonance energy, $E_{\rm res} \approx 2\Delta_L$.


title: Minimizing properties of critical points of quasi-local energy

abstract:
  In relativity, the energy of a moving particle depends on the observer, and
the rest mass is the minimal energy seen among all observers. The Wang-Yau
quasi-local mass for a surface in spacetime introduced in [7] and [8] is
defined by minimizing quasi-local energy associated with admissible isometric
embeddings of the surface into the Minkowski space. A critical point of the
quasi-local energy is an isometric embedding satisfying the Euler-Lagrange
equation. In this article, we prove results regarding both local and global
minimizing properties of critical points of the Wang-Yau quasi-local energy. In
particular, under a condition on the mean curvature vector we show a critical
point minimizes the quasi-local energy locally. The same condition also implies
that the critical point is globally minimizing among all axially symmetric
embedding provided the image of the associated isometric embedding lies in a
totally geodesic Euclidean 3-space.


title: Iterative Schemes for Bump Solutions in a Neural Field Model

abstract:
  We develop two iteration schemes for construction of localized stationary
solutions (bumps) of a one-population Wilson-Cowan model with a smoothed
Heaviside firing rate function. The first scheme is based on the fixed point
formulation of the stationary Wilson-Cowan model. The second one is formulated
in terms of the excitation width of a bump. Using the theory of monotone
operators in ordered Banach spaces we justify convergence of both iteration
schemes.


title:
Nucleation kinetics of vapor bubbles in a liquid with arbitrary
  viscosity

abstract:
  The theory of vapor bubbles nucleation in single-component liquids developed
in [J. Phys. Chem. B 116, 9445 (2012)] for the case of high viscosity (the
(V,/rho,T)- theory) is extended to the case of arbitrary viscosity. For this
purpose, Langevin's approach in the theory of Brownian motion, or Kramers'
model of chemical reactions, is employed. The obtained expression for the
bubbles nucleation rate is valid for arbitrary relations between the kinetic
parameters controlling the nucleation process: viscosity, inertia of a liquid,
the rate of evaporation into a bubble and the rate of heat exchange between the
bubble and ambient liquid. So, the presented theory together with the
(V,/rho,T)- theory gives a complete description of the vapor-bubbles nucleation
kinetics in one-component liquids. Limiting cases with respect to the mentioned
parameters are considered, in particular, the low viscosity limit. It is shown
that the low- and high-viscosity nucleation rates differ from each other
qualitatively and quantitatively. The possibility of application of the theory
to cavitation in superfluid helium-4 is discussed.


title:
Series Expansion Approximations of Brownian Motion for Non-Linear Kalman
  Filtering of Diffusion Processes

abstract:
  In this paper, we describe a novel application of sigma-point methods to
continuous-discrete filtering. In principle, the nonlinear continuous- discrete
filtering problem can be solved exactly. In practice, the solution contains
terms that are computationally intractible. Assumed density filtering methods
attempt to match statistics of the filtering distribution to some set of more
tractible probability distributions. We describe a novel method that decomposes
the Brownian motion driving the signal in a generalised Fourier series, which
is truncated after a number of terms. This approximation to Brownian can be
described using a relatively small number of Fourier coefficients, and allows
us to compute statistics of the filtering distribution with a single
application of a sigma-point method. Assumed density filters that exist in the
literature usually rely on discretisation of the signal dynamics followed by
iterated application of a sigma point transform (or a limiting case thereof).
Iterating the transform in this manner can lead to loss of information about
the filtering distri- bution in highly nonlinear settings. We demonstrate that
our method is better equipped to cope with such problems.


title: Homotopy Probability Theory II

abstract:
  This is the second of two papers that introduce a deformation theoretic
framework to explain and broaden a link between homotopy algebra and
probability theory. This paper outlines how the framework can assist in the
development of homotopy probability theory, where a vector space of random
variables is replaced by a chain complex of random variables. This allows the
principles of derived mathematics to participate in classical and
noncommutative probability theory. A simple example is presented.


title:
Experimental study of intrinsic multiple Andreev reflections effect in
  GdO(F)FeAs superconductor array junctions

abstract:
  We report the first observation of the intrinsic multiple Andreev reflections
effect (IMARE) in S-n-S-...-S-arrays (S = superconductor, n = normal metal)
formed by "break-junction" technique in GdO(F)FeAs superconductor (Tc = 48 - 53
K). We show that superconducting gap peculiarities at dI/dV-spectra sharpen
dramatically in the arrays as compared with that in the single-contact spectra;
this enables to improve significantly accuracy of the bulk superconducting
parameters determination. Using IMARE, we determined the large and the small
gap values \Delta_L = 11 +- 1.1 meV and \Delta_S = 2.6 +- 0.4 meV. The
BCS-ratio 2\Delta_L/kTc^{local} = 5.0 - 5.9 > 3.52 (Tc^{local} is the contact
area critical temperature) evidences for a strong electron-boson coupling. The
results obtained agree well with our previous data by Andreev spectroscopy for
single SnS-contacts.


title:
Constraining the symmetry energy at subsaturation densities using
  isotope binding energy difference and neutron skin thickness

abstract:
  We show that the neutron skin thickness $\Delta r_{np}$ of heavy nuclei is
uniquely fixed by the symmetry energy density slope $L({\rho})$ at a
subsaturation cross density $\rho_c \approx 0.11$ fm$^{-3}$ rather than at
saturation density $\rho_0$, while the binding energy difference $\Delta E$
between a heavy isotope pair is essentially determined by the magnitude of the
symmetry energy $E_{\text{sym}}({\rho})$ at the same $\rho_c$. Furthermore, we
find a value of $L({\rho_c})$ leads to a negative
$E_{\text{sym}}({\rho_{0}})$-$L({\rho_{0}})$ correlation while a value of
$E_{\text{sym}}({\rho_{c})}$ leads to a positive one. Using data on $\Delta
r_{np}$ of Sn isotopes and $\Delta E$ of a number of heavy isotope pairs, we
obtain simultaneously $E_{\text{sym}}({\rho_{c})}=26.65\pm0.20$ MeV and
$L({\rho_c})= 46.0\pm4.5$ MeV at 95% confidence level, whose extrapolation
gives $E_{\text{sym}}({\rho_{0}})=32.3\pm1.0$ MeV and
$L({\rho_{0}})=45.2\pm10.0$ MeV. The implication of these new constraints on
the $\Delta r_{np}$ of $^{208}$Pb and the core-crust transition density in
neutron stars is discussed.


title:
Unions of Onions: Preprocessing Imprecise Points for Fast Onion
  Decomposition

abstract:
  Let $\mathcal{D}$ be a set of $n$ pairwise disjoint unit disks in the plane.
We describe how to build a data structure for $\mathcal{D}$ so that for any
point set $P$ containing exactly one point from each disk, we can quickly find
the onion decomposition (convex layers) of $P$.
  Our data structure can be built in $O(n \log n)$ time and has linear size.
Given $P$, we can find its onion decomposition in $O(n \log k)$ time, where $k$
is the number of layers. We also provide a matching lower bound. Our solution
is based on a recursive space decomposition, combined with a fast algorithm to
compute the union of two disjoint onion


title: The XMM-Newton Wide Angle Survey (XWAS)

abstract:
  This programme is aimed at obtaining one of the largest X-ray selected
samples of identified active galactic nuclei to date in order to characterise
such a population at intermediate fluxes, where most of the Universe's
accretion power originates. We present the XMM-Newton Wide Angle Survey (XWAS),
a new catalogue of almost a thousand X-ray sources spectroscopically identified
through optical observations. A sample of X-ray sources detected in 68
XMM-Newton pointed observations was selected for optical multi-fibre
spectroscopy. Optical counterparts and corresponding photometry of the X-ray
sources were obtained from the SuperCOSMOS Sky Survey. Candidates for
spectroscopy were initially selected with magnitudes down to R~21, with
preference for X-ray sources having a flux F(0.5-4.5 keV) >10^-14 erg s^-1
cm^-2. Optical spectroscopic observations performed at the Anglo Australian
Telescope Two Degree Field were analysed, and the derived spectra were
classified based on optical emission lines. We have identified through optical
spectroscopy 940 X-ray sources over ~11.8 deg^2 of the sky. Source populations
in our sample can be summarised as 65% broad line active galactic nuclei
(BLAGN), 16% narrow emission line galaxies (NELGs), 6% absorption line galaxies
(ALGs) and 13% stars. An active nucleus is likely to be present also in the
large majority of the X-ray sources spectroscopically classified as NELGs or
ALGs. Sources lie in high-galactic latitude (|b| > 20 deg) XMM-Newton fields
mainly in the southern hemisphere. Due to the large parameter space in redshift
(0 < z < 4.25) and flux (10^-15 < F(0.5-4.5 keV) < 10^-12 erg s^-1 cm^-2)
covered by the XWAS this work provides an excellent resource to further study
subsamples and particular cases. The overall properties of the extragalactic
objects are presented in this paper.


title:
Anticorrelations from power-law spectral disorder and conditions for an
  Anderson transition

abstract:
  We resolve an apparent contradiction between numeric and analytic results for
one-dimensional disordered systems with power-law spectral correlations. The
conflict arises when considering rigorous results that constrain the set of
correlation functions yielding metallic states to those with non-zero values in
the thermodynamic limit. By analyzing the scaling law for a model correlated
disorder that produces a mobility edge, we show that no contradiction exists as
the correlation function exhibits strong anticorrelations in the thermodynamic
limit. Moreover, the associated scaling function reveals a size-dependent
correlation with a smoothening of disorder amplitudes as the system size
increases.


title: Spreading dynamics on spatially constrained complex brain networks

abstract:
  The study of dynamical systems defined on complex networks provides a natural
framework with which to investigate myriad features of neural dynamics, and has
been widely undertaken. Typically, however, networks employed in theoretical
studies bear little relation to the spatial embedding or connectivity of the
neural networks that they attempt to replicate. Here, we employ detailed
neuroimaging data to define a network whose spatial embedding represents
accurately the folded structure of the cortical surface of a rat and
investigate the propagation of activity over this network under simple
spreading and connectivity rules. By comparison with standard network models
with the same coarse statistics, we show that the cortical geometry influences
profoundly the speed propagation of activation through the network. Our
conclusions are of high relevance to the theoretical modelling of epileptic
seizure events, and indicate that such studies which omit physiological network
structure risk simplifying the dynamics in a potentially significant way.

categories: q-bio.NC cond-mat.dis-nn nlin.CG physics.bio-ph


title: Revenue Maximization via Hiding Item Attributes

abstract:
  We study probabilistic single-item second-price auctions where the item is
characterized by a set of attributes. The auctioneer knows the actual
instantiation of all the attributes, but he may choose to reveal only a subset
of these attributes to the bidders. Our model is an abstraction of the
following Ad auction scenario. The website (auctioneer) knows the demographic
information of its impressions, and this information is in terms of a list of
attributes (e.g., age, gender, country of location). The website may hide
certain attributes from its advertisers (bidders) in order to create thicker
market, which may lead to higher revenue. We study how to hide attributes in an
optimal way. We show that it is NP-hard to solve for the optimal attribute
hiding scheme. We then derive a polynomial-time solvable upper bound on the
optimal revenue. Finally, we propose two heuristic-based attribute hiding
schemes. Experiments show that revenue achieved by these schemes is close to
the upper bound.


title: Partial symmetry breaking and heteroclinic tangencies

abstract:
  We study some global aspects of the bifurcation of an equivariant family of
volume-contracting vector fields on the three-dimensional sphere. When part of
the symmetry is broken, the vector fields exhibit Bykov cycles. Close to the
symmetry, we investigate the mechanism of the emergence of heteroclinic
tangencies coexisting with transverse connections. We find persistent suspended
horseshoes accompanied by attracting periodic trajectories with long periods.


title: Applications of the Canonical Ramsey Theorem to Geometry

abstract:
  Let P be a set of n points in R^d. How big is the largest subset X of P such
that all of the distances determined between pairs are different? We show that
X is at at least Omega(n^{1/6d}) This is not the best known; however the
technique is new.
  Assume that no three of the original points are collinear. How big is the
largest subset X of P such that all of the areas determined by elements of all
triples are different? We show that, if d=2 then X is at least Omega((log log
n)^{1/186}) and if d=3 then X is at least Omega((log log n)^{1/396}). We also
obtain results for countable sets of points in R^d.
  All of our proofs use variants of the canonical Ramsey theorem and some
geometric lemmas.


title:
Phase behaviour and the random phase approximation for ultrasoft
  restricted primitive models

abstract:
  Phase separation of the ultrasoft restricted primitive model (URPM) with
Gaussian charges is re-investigated in the random phase approximation
(RPA)---the 'Level A' approximation discussed by Nikoubashman, Hansen and Kahl
[J. Chem. Phys. 137, 094905 (2012)]. We find that the RPA predicts a region of
low temperature vapour-liquid coexistence, with a critical density much lower
than that observed in either simulations or more refined approximations (we
also remark that the RPA critical point for a related model with Bessel charges
can be solved analytically). This observation suggests that the hierarchy of
approximations introduced by Nikoubashman et al. should be analogous to those
introduced by Fisher and Levin for the restricted primitive model [Phys. Rev.
Lett. 71, 3826 (1993)], which makes the inability of these approximations to
capture the observed URPM phase behaviour even more worthy of investigation.


title: On equalities in two entropic inequalities

abstract:
  A simple criterion for local equality between the constrained Holevo capacity
and the quantum mutual information of a quantum channel is obtained. It implies
that the set of all states for which this equality holds is determined by the
kernel of the channel (as a linear map).
  Applications to Bosonic Gaussian channels are considered. It is shown that
for a Gaussian channel having no completely depolarizing components the above
characteristics may coincide only at non-Gaussian mixed states and a criterion
of existence of such states is given.
  All the obtained results may be reformulated as conditions for equality
between the constrained Holevo capacity of a quantum channel and the input von
Neumann entropy.


title:
Obtaining error-minimizing estimates and universal entry-wise error
  bounds for low-rank matrix completion

abstract:
  We propose a general framework for reconstructing and denoising single
entries of incomplete and noisy entries. We describe: effective algorithms for
deciding if and entry can be reconstructed and, if so, for reconstructing and
denoising it; and a priori bounds on the error of each entry, individually. In
the noiseless case our algorithm is exact. For rank-one matrices, the new
algorithm is fast, admits a highly-parallel implementation, and produces an
error minimizing estimate that is qualitatively close to our theoretical and
the state-of-the-are Nuclear Norm and OptSpace methods.


title: Subtleties of Invariance, Covariance and Observer Independence

abstract:
  The role of the observers is frequently obscured in the literature, either by
writing equations in a coordinate system implicitly pertaining to some specific
observer or by entangling the invariance and the observer dependence of
physical quantities. Using examples in relativistic kinematics and classical
electrodynamics we clarify the confusion underlying these misconceptions.


title: Theory of Performance Participation Strategies

abstract:
  The purpose of this article is to introduce, analyze and compare two
performance participation methods based on a portfolio consisting of two risky
assets: Option-Based Performance Participation (OBPP) and Constant Proportion
Performance Participation (CPPP). By generalizing the provided guarantee to a
participation in the performance of a second risky underlying, the new
strategies allow to cope with well-known problems associated with standard
portfolio insurance methods, like e.g. the CPPI cash lock-in. This is
especially an issue in times of market crisis. However, the minimum guaranteed
portfolio value at the end of the investment horizon is not deterministic
anymore, but subject to systematic risk instead. With respect to the comparison
of the two strategies, various criteria are applied such as comparison of
terminal payoffs and payoff distributions. General analytical expressions for
all moments of both performance participation strategies as well as standard
OBPI and CPPI are derived. Furthermore, dynamic hedging properties are
examined, in particular classical delta hedging.


title:
Bistatic Synthetic Aperture Radar Imaging of Moving Targets using
  Ultra-Narrowband Continuous Waveforms

abstract:
  We consider a synthetic aperture radar (SAR) system that uses
ultra-narrowband continuous waveforms (CW) as an illumination source. Such a
system has many practical advantages, such as the use of relatively simple,
low-cost and low-power transmitters, and in some cases, using the transmitters
of opportunity, such as TV, radio stations. Additionally, ultra-narrowband CW
signals are suitable for motion estimation due to their ability to acquire high
resolution Doppler information. In this paper, we present a novel synthetic
aperture imaging method for moving targets using a bi-static SAR system
transmitting ultra-narrowband continuous waveforms. Our method exploits the
high Doppler resolution provided by ultra-narrowband CW signals to image both
the scene reflectivity and to determine the velocity of multiple moving
targets. Starting from the first principle, we develop a novel forward model
based on the temporal Doppler induced by the movement of antennas and moving
targets. We form the reflectivity image of the scene and estimate the motion
parameters using a filtered-backprojection technique combined with a contrast
optimization method. Analysis of the point spread function of our image
formation method shows that reflectivity images are focused when the motion
parameters are estimated correctly. We present analysis of the velocity
resolution and the resolution of reconstructed reflectivity images. We analyze
the error between the correct and reconstructed position of targets due to
errors in velocity estimation. Extensive numerical simulations demonstrate the
performance of our method and validate the theoretical results.


title:
Counting And Confusion: Bayesian Rate Estimation With Multiple
  Populations

abstract:
  We show how to obtain a Bayesian estimate of the rates or numbers of signal
and background events from a set of events when the shapes of the signal and
background distributions are known, can be estimated, or approximated; our
method works well even if the foreground and background event distributions
overlap significantly and the nature of any individual event cannot be
determined with any certainty. We give examples of determining the rates of
gravitational-wave events in the presence of background triggers from a
template bank when noise parameters are known and/or can be fit from the
trigger data. We also give an example of determining globular-cluster shape,
location, and density from an observation of a stellar field that contains a
non-uniform background density of stars superimposed on the cluster stars.


title: The Jordan-Brouwer theorem for the digital normal n-space Zn

abstract:
  In this paper we investigate properties of digital spaces which are
represented by graphs. We find conditions for digital spaces to be digital
n-manifolds and n-spheres. We study properties of partitions of digital spaces
and prove a digital analog of the Jordan-Brouwer theorem for the normal digital
n-space Zn.


title:
Observation of the Kibble-Zurek scaling law for defect formation in ion
  crystals

abstract:
  Traversal of a symmetry-breaking phase transition at a finite rate can lead
to causallyseparated regions with incompatible symmetries and the formation of
defects at their boundaries. The defect formation follows universal scaling
laws prescribed by the Kibble-Zurek mechanism (KZM) important to the study of
phase transitions in fields as diverse as quantum and statistical mechanics,
condensed matter physics and cosmology. Here, we observe the KZM in a crystal
of cold trapped ions, which is conducive to the precise control of structural
phases and the detection of defects. The experiment confirms a scaling law with
an exponent of 2.68 +/- 0.06, as predicted from the KZM in the finite
inhomogeneous case. Such precision makes it feasible to use ion crystals for
quantitative tests of classical and quantum statistical mechanics.


title:
From data towards knowledge: Revealing the architecture of signaling
  systems by unifying knowledge mining and data mining of systematic
  perturbation data

abstract:
  Genetic and pharmacological perturbation experiments, such as deleting a gene
and monitoring gene expression responses, are powerful tools for studying
cellular signal transduction pathways. However, it remains a challenge to
automatically derive knowledge of a cellular signaling system at a conceptual
level from systematic perturbation-response data. In this study, we explored a
framework that unifies knowledge mining and data mining approaches towards the
goal. The framework consists of the following automated processes: 1) applying
an ontology-driven knowledge mining approach to identify functional modules
among the genes responding to a perturbation in order to reveal potential
signals affected by the perturbation; 2) applying a graph-based data mining
approach to search for perturbations that affect a common signal with respect
to a functional module, and 3) revealing the architecture of a signaling system
organize signaling units into a hierarchy based on their relationships.
Applying this framework to a compendium of yeast perturbation-response data, we
have successfully recovered many well-known signal transduction pathways; in
addition, our analysis have led to many hypotheses regarding the yeast signal
transduction system; finally, our analysis automatically organized perturbed
genes as a graph reflecting the architect of the yeast signaling system.
Importantly, this framework transformed molecular findings from a gene level to
a conceptual level, which readily can be translated into computable knowledge
in the form of rules regarding the yeast signaling system, such as "if genes
involved in MAPK signaling are perturbed, genes involved in pheromone responses
will be differentially expressed".


title:
Some identities of higher-order Bernoulli, Euler and Hermite polynomials
  arising from umbral calculus

abstract:
  In this paper, we study umbral calculus to have alternative ways of obtaining
our results. That is, we derive some interesting identities of the higher-order
Bernoulli, Euler and Hermite polynomials arising from umbral calculus to have
alternative ways.


title: Universality in Pure Gravity Mediation

abstract:
  If low energy supersymmetry is realized in nature, the apparent discovery of
a Higgs boson with mass around 125 GeV points to a supersymmetric mass spectrum
in the TeV or multi-TeV range. Multi-TeV scalar masses are a necessary
component of supersymmetric models with pure gravity mediation or in any model
with strong moduli stabilization. Here, we show that full scalar mass
universality remains viable as long as the ratio of Higgs vevs, tan beta is
relatively small (\lesssim 2.5). We discuss in detail the low energy
(observable) consequences of these models.


title: Ten years of the INTEGRAL Burst Alert System (IBAS)

abstract:
  The INTEGRAL Burst Alert System (IBAS) has been developed to detect and
locate in real time the gamma-ray bursts (GRBs) serendipitously observed by
INTEGRAL. The IBAS software runs automatically at the INTEGRAL Science Data
Centre (ISDC), where the satellite data are received with a delay of only a few
seconds. The sky coordinates of the GRBs occurring in the field of view of the
IBIS instrument are distributed via Internet in real time. The localizations
have a typical uncertainty radius of 2 arcmin (90% c.l.) and in most cases are
available within a few tens of seconds after the beginning of the GRB. In ten
years of operations IBAS has localized about 90 GRBs, most of which in near
real time, and distributed alerts also for other kinds of astrophysical
transient events, such as type I bursts from low mass X-ray binaries, flares
and bursts from magnetars, and outbursts of Galactic transients. IBAS also
provides the light curves for the GRBs detected with the anti-coincidence
shield of the SPI instrument. Here I summarize the main properties of the GRBs
detected in the field of view of IBIS during the first ten years of the
INTEGRAL mission.


title: Graph-based Generalization Bounds for Learning Binary Relations

abstract:
  We investigate the generalizability of learned binary relations: functions
that map pairs of instances to a logical indicator. This problem has
application in numerous areas of machine learning, such as ranking, entity
resolution and link prediction. Our learning framework incorporates an example
labeler that, given a sequence $X$ of $n$ instances and a desired training size
$m$, subsamples $m$ pairs from $X \times X$ without replacement. The challenge
in analyzing this learning scenario is that pairwise combinations of random
variables are inherently dependent, which prevents us from using traditional
learning-theoretic arguments. We present a unified, graph-based analysis, which
allows us to analyze this dependence using well-known graph identities. We are
then able to bound the generalization error of learned binary relations using
Rademacher complexity and algorithmic stability. The rate of uniform
convergence is partially determined by the labeler's subsampling process. We
thus examine how various assumptions about subsampling affect generalization;
under a natural random subsampling process, our bounds guarantee
$\tilde{O}(1/\sqrt{n})$ uniform convergence.


title: Worldsheet scattering in AdS(3)/CFT(2)

abstract:
  We confront the recently proposed exact S-matrices for AdS(3)/CFT(2) with
direct worldsheet calculations. Utilizing the BMN and Near Flat Space (NFS)
expansions for strings on AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4)
we compute both tree-level and one-loop scattering amplitudes. Up to some minor
issues we find nice agreement in the tree-level sector. At the one-loop level
however we find that certain non-zero tree-level processes, which are not
visible in the exact solution, contribute, via the optical theorem, and give an
apparent mismatch for certain amplitudes. Furthermore we find that a proposed
one-loop modification of the dressing phase correctly reproduces the worldsheet
calculation while the standard Hernandez-Lopez phase does not. We also compute
several massless to massless processes.


title: Plane SPDC-Quantum Mirror

abstract:
  In this paper the kinematical correlations from the phase conjugated optics
(equivalently with crossing symmetric spontaneous parametric down conversion
(SPDC) phenomena) in the nonlinear crystals are used for the description of a
new kind of optical device called SPDC-quantum mirrors. Then, some important
laws of the plane SPDC-quantum mirrors combined with usual mirrors or lens are
proved only by using geometric optics concepts. In particular, these results
allow us to obtain a new interpretation of the recent experiments on the
two-photon geometric optics.


title: Global attractor for a nonlocal model for biological aggregation

abstract:
  We investigate the long term behavior in terms of global attractors, as time
goes to infinity, of solutions to a continuum model for biological aggregations
in which individuals experience long-range social attraction and short range
dispersal. We consider the aggregation equation with both degenerate and
non-degenerate diffusion in a bounded domain subject to various boundary
conditions. In the degenerate case, we prove the existence of the global
attractor and derive some optimal regularity results. Furthermore, in the
non-degenerate case we give a complete structural characterization of the
global attractor, and also discuss the convergence of any bounded solutions to
steady states. Finally, the existence of an exponential attractor is also
demonstrated for sufficiently smooth kernels in the case of non-degenerate
diffusion.


title: Rectangular orbits of the curved 4-body problem

abstract:
  We consider the 4-body problem in spaces of constant curvature and study the
existence of spherical and hyperbolic rectangular solutions, i.e. equiangular
quadrilateral motions on spheres and hyperbolic spheres. We focus on relative
equilibria (orbits that maintain constant mutual distances) and rotopulsators
(configurations that rotate and change size, but preserve equiangularity). We
prove that when such orbits exist, they are necessarily spherical or hyperbolic
squares, i.e. equiangular equilateral quadrilaterals.


title: Gauge Models in D Dimensions

abstract:
  Utilizing the Gauge Framework, software under development at Baylor
University, we explicitly construct all layer 1 weakly coupled free fermionic
heterotic string (WCFFHS) gauge models up to order 32 in four to ten large
spacetime dimensions. These gauge models are well suited to large scale
systematic surveys and, while they offer little phenomenologically, are useful
for understanding the structure of the WCFFHS region of the string landscape.
Herein we present the gauge groups statistics for this swath of the landscape
for both supersymmetric and non-supersymmetric models.


title:
Different types of critical behavior in conservatively coupled H\'enon
  maps

abstract:
  We study the dynamics of two conservatively coupled H\'enon maps at different
levels of dissipation. It is shown that the decrease of dissipation leads to
changes in the parameter plane structure and scenarios of transition to chaos
comparing with the case of infinitely strong dissipation. Particularly, the
Feigenbaum line becomes divided into several fragments. Some of these fragments
have critical points of different types, namely of C and H type, as their
terminal points. Also the mechanisms of formation of these Feigenbaum line
ruptures are described.