title:
On an unified framework for approachability in games with or without
  signals

abstract:
  We unify standard frameworks for approachability both in full or partial
monitoring by defining a new abstract game, called the "purely informative
game", where the outcome at each stage is the maximal information players can
obtain, represented as some probability measure. Objectives of players can be
rewritten as the convergence (to some given set) of sequences of averages of
these probability measures. We obtain new results extending the approachability
theory developed by Blackwell moreover this new abstract framework enables us
to characterize approachable sets with, as usual, a remarkably simple and clear
reformulation for convex sets. Translated into the original games, those
results become the first necessary and sufficient condition under which an
arbitrary set is approachable and they cover and extend previous known results
for convex sets. We also investigate a specific class of games where, thanks to
some unusual definition of averages and convexity, we again obtain a complete
characterization of approachable sets along with rates of convergence.


title:
Effects of Magnetic Field and FUV Radiation on the Structures of
  Bright-rimmed Clouds

abstract:
  The bright-rimmed cloud SFO 22 was observed with the 45 m telescope of
Nobeyama Radio Observatory in the ^{12}CO (J = 1-0), ^{13}CO (J = 1-0), and
C^{18}O (J = 1-0) lines, where well-developed head-tail structure and small
line widths were found. Such features were predicted by radiation-driven
implosion models, suggesting that SFO 22 may be in a quasi-stationary
equilibrium state. We compare the observed properties with those from numerical
models of a photo-evaporating cloud, which include effects of magnetic pressure
and heating due to strong far-ultraviolet (FUV) radiation from an exciting
star. The magnetic pressure may play a more important role in the density
structures of bright-rimmed clouds, than the thermal pressure that is enhanced
by the FUV radiation. The FUV radiation can heat the cloud surface to near 30
K, however, its effect is not enough to reproduce the observed density
structure of SFO 22. An initial magnetic field of 5 \mu G in our numerical
models produces the best agreement with the observations, and its direction can
affect the structures of bright-rimmed clouds.


title:
Jitter-Adaptive Dictionary Learning - Application to Multi-Trial
  Neuroelectric Signals

abstract:
  Dictionary Learning has proven to be a powerful tool for many image
processing tasks, where atoms are typically defined on small image patches. As
a drawback, the dictionary only encodes basic structures. In addition, this
approach treats patches of different locations in one single set, which means a
loss of information when features are well-aligned across signals. This is the
case, for instance, in multi-trial magneto- or electroencephalography (M/EEG).
Learning the dictionary on the entire signals could make use of the alignement
and reveal higher-level features. In this case, however, small missalignements
or phase variations of features would not be compensated for. In this paper, we
propose an extension to the common dictionary learning framework to overcome
these limitations by allowing atoms to adapt their position across signals. The
method is validated on simulated and real neuroelectric data.


title: Existence of an Independent Phonon Bath in a Quantum Device

abstract:
  At low temperatures, the thermal wavelength of acoustic phonons in a metallic
thin film on a substrate can widely exceed the film thickness. It is thus
generally believed that a mesoscopic device operating at low temperature does
not carry an individual phonon population. In this work, we provide direct
experimental evidence for the thermal decoupling of phonons in a mesoscopic
quantum device from its substrate phonon heat bath at a sub-Kelvin temperature.
A simple heat balance model assuming an independent phonon bath following the
usual electron-phonon and Kapitza coupling laws can account for all
experimental observations.


title:
An efficient broad-band mid-wave IR fiber optic light source: Design and
  performance simulation

abstract:
  Design of a mid-wave IR (MWIR) broad-band fiber-based light source exploiting
four-wave mixing (FWM) in a meter long suitably designed highly nonlinear (NL)
chalcogenide microstructured optical fiber (MOF) is reported. This superior FWM
bandwidth (BW) was obtained through precise tailoring of the fibers dispersion
profile so as to realize positive quartic dispersion at the pump wavelength. We
consider an Erbium (Er3+) doped continuous wave (CW) ZBLAN fiber laser emitting
at 2.8 micron as the pump source with an average power of 5 W. Amplification
factor as high as 25 dB is achievable in the 3 to 3.9 microns spectral range
with average power conversion efficiency more than 32 percent.


title:
Joint Space Neural Probabilistic Language Model for Statistical Machine
  Translation

abstract:
  A neural probabilistic language model (NPLM) provides an idea to achieve the
better perplexity than n-gram language model and their smoothed language
models. This paper investigates application area in bilingual NLP, specifically
Statistical Machine Translation (SMT). We focus on the perspectives that NPLM
has potential to open the possibility to complement potentially `huge'
monolingual resources into the `resource-constraint' bilingual resources. We
introduce an ngram-HMM language model as NPLM using the non-parametric Bayesian
construction. In order to facilitate the application to various tasks, we
propose the joint space model of ngram-HMM language model. We show an
experiment of system combination in the area of SMT. One discovery was that our
treatment of noise improved the results 0.20 BLEU points if NPLM is trained in
relatively small corpus, in our case 500,000 sentence pairs, which is often the
case due to the long training time of NPLM.


title:
Pb(Mg1/3Nb2/3)O3 (PMN) Relaxor: Dipole Glass or Nano-Domain
  Ferroelectric ?

abstract:
  Combining our comprehensive investigations of polarization evolution,
soft-mode by Raman scattering and microstructure by TEM, and the results
reported in the literatures, we show that prototypical relaxor Pb(Mg1/3Nb2/3)O3
(PMN) is essentially ferroelectric for T<Tc~225 K. Its anomalous dielectric
behavior over a broad temperature range results from the reorientation of
domains in the crystal. A physic picture of the structure evolution in relaxor
is also revealed. It is found that nanometric ferroelectric domains (gennerally
called as polar nano-region (PNR)) interact cooperatively to form micrometric
domain. Such multiscale inhomogeneities of domain structure in addition to the
well-known inhomogeneities of chemical composition and local symmetry are
considered to play a crucial role in producing the enigmatic phenomena in
relaxor system.


title:
Degree of Polarization in Quantum Optics through second generalization
  of Intensity

abstract:
  Classical definition of degree of polarization is expressed in quantum domain
by replacing intensities through quantum mechanical average values of relevant
number operators and is viewed as first generalization of Intensity. This
definition assigns inaccurately the unpolarized status to some typical optical
fields such as amplitude coherent phase randomized and hidden polarized, which
are not truly unpolarized light. The apparent paradoxical trait is circumvented
by proposing a new definition of degree of polarization in Quantum Optics
through second generalization of Intensity. The correspondence of new degree of
polarization to usual degree of polarization in Quantum Optics is established.
It is seen that the two definitions disagree significantly for intense optical
fields but coincides for weak light (thermal light) or for optical fields in
which occupancy of photons in orthogonal mode is very feeble. Our proposed
definition of degree of polarization, similar to other proposals in literature,
reveals an interesting feature that states of polarization of optical quantum
fields depend upon the average photons (intensity) present therein.


title:
Sequential Bayesian Inference in Hidden Markov Stochastic Kinetic Models
  with Application to Detection and Response to Seasonal Epidemics

abstract:
  We study sequential Bayesian inference in stochastic kinetic models with
latent factors. Assuming continuous observation of all the reactions, our focus
is on joint inference of the unknown reaction rates and the dynamic latent
states, modeled as a hidden Markov factor. Using insights from nonlinear
filtering of continuous-time jump Markov processes we develop a novel
sequential Monte Carlo algorithm for this purpose. Our approach applies the
ideas of particle learning to minimize particle degeneracy and exploit the
analytical jump Markov structure. A motivating application of our methods is
modeling of seasonal infectious disease outbreaks represented through a
compartmental epidemic model. We demonstrate inference in such models with
several numerical illustrations and also discuss predictive analysis of
epidemic countermeasures using sequential Bayes estimates.


title:
Learning New Facts From Knowledge Bases With Neural Tensor Networks and
  Semantic Word Vectors

abstract:
  Knowledge bases provide applications with the benefit of easily accessible,
systematic relational knowledge but often suffer in practice from their
incompleteness and lack of knowledge of new entities and relations. Much work
has focused on building or extending them by finding patterns in large
unannotated text corpora. In contrast, here we mainly aim to complete a
knowledge base by predicting additional true relationships between entities,
based on generalizations that can be discerned in the given knowledgebase. We
introduce a neural tensor network (NTN) model which predicts new relationship
entries that can be added to the database. This model can be improved by
initializing entity representations with word vectors learned in an
unsupervised fashion from text, and when doing this, existing relations can
even be queried for entities that were not present in the database. Our model
generalizes and outperforms existing models for this problem, and can classify
unseen relationships in WordNet with an accuracy of 75.8%.


title: Lattice Coulomb propagators, effective energy and confinement

abstract:
  We show that in the lattice Hamiltonian limit all Coulomb gauge propagators
are consistent with the Gribov-Zwanziger confinement mechanism, with an IR
enhanced effective energy for quarks and gluons and a diverging ghost form
factor compatible with a dual-superconducting vacuum. Multiplicative
renormalizability is ensured for all static correlators, while for non-static
ones their energy dependence plays a crucial role in this respect. Moreover,
from the Coulomb potential we can extract the Coulomb string tension \sigma_C ~
2 \sigma.


title: A Visible Metamaterial with Low Loss Made by Bottom-Up Self-Assembly

abstract:
  Since the introduction of the artificially designed negative-index
metamaterial (NIM) introduced in 2001, its extraordinary electromagnetic
properties, which cannot be attained from naturally occurring materials, have
continuously attracted many researchers to study them. Various types of NIMs
with the resonant frequencies shifted from gigahertz all the way to higher
frequencies have been actualized over the past decade. For the actual
applications, the most fascinating and significant goal of research on NIMs is
to achieve negative refraction at visible wavelengths. According to the
effective medium theory, the interior structural unit of NIMs must be on a
scale much smaller than the operating wavelength.


title:
Large and temperature-independent piezoelectric response in
  Pb(Mg1/3Nb2/3)O3-BaTiO3-PbTiO3

abstract:
  The temperature dependence of elastic, dielectric, and piezoelectric
properties of (65-x)Pb(Mg1/3Nb2/3)O3-xBaTiO335-PbTiO3 ceramics with x=0, 1, 2,
3, and 4 was investigated. Compound with x=2 was found to exhibit a large
piezoelectric response (d31=-170 pC/N, d33=530 pC/N at 300 K). Particularly,
its d31 value was nearly a constant over a temperature range from 185 to 360 K.
A broad ferroelectric phase transition tuned by BaTiO3 doping was deduced from
the dielectric constant, elastic compliance constant and Raman spectra. The
temperature-stable piezoelectric response was attributed to the counter-balance
of contributions from the dielectric and elastic responses.


title: On sampling and modeling complex systems

abstract:
  The study of complex systems is limited by the fact that only few variables
are accessible for modeling and sampling, which are not necessarily the most
relevant ones to explain the systems behavior. In addition, empirical data
typically under sample the space of possible states. We study a generic
framework where a complex system is seen as a system of many interacting
degrees of freedom, which are known only in part, that optimize a given
function. We show that the underlying distribution with respect to the known
variables has the Boltzmann form, with a temperature that depends on the number
of unknown variables. In particular, when the unknown part of the objective
function decays faster than exponential, the temperature decreases as the
number of variables increases. We show in the representative case of the
Gaussian distribution, that models are predictable only when the number of
relevant variables is less than a critical threshold. As a further consequence,
we show that the information that a sample contains on the behavior of the
system is quantified by the entropy of the frequency with which different
states occur. This allows us to characterize the properties of maximally
informative samples: in the under-sampling regime, the most informative
frequency size distributions have power law behavior and Zipf's law emerges at
the crossover between the under sampled regime and the regime where the sample
contains enough statistics to make inference on the behavior of the system.
These ideas are illustrated in some applications, showing that they can be used
to identify relevant variables or to select most informative representations of
data, e.g. in data clustering.


title: Floquet poor man's Majorana fermions in double quantum dots

abstract:
  We consider a system consisting of two quantum dots connected by an s-wave
superconductor in the presence of periodically varying electric or magnetic
fields. The Floquet theory shows that there may be Floquet poor man's Majorana
fermions (FPMMFs) in the high frequency region depending on the phase
difference between the applied external fields to the two dots. Numerical
results confirm this expectation and find in addition a lot of FPMMFs in the
low frequency region. The FPMMFs survive for nonzero energy levels of the two
dots and their interaction though the frequencies at which they emerge change
and thus may be a promising candidate to be detected in experiments.


title:
Precision modeling of redshift-space distortions from multi-point
  propagator expansion

abstract:
  Using a full implementation of resummed perturbation theory (PT) from a
multi-point propagator expansion, we put forward new theoretical predictions
for the two-point statistics of matter fluctuations in redshift space. The
predictions consistently include PT corrections up to the two-loop order and
are based on an improved prescription of the redshift-space distortions (RSD)
that properly takes into account their non-Gaussian impact from a systematic
low-k expansion. In contrast to the previous studies that partly used standard
PT calculations, the present treatment is able to provide a consistent
prediction for both power spectra and correlation functions. These results are
compared with $N$-body simulations with which a very good agreement is found up
to the quadrupole moment. The theoretical predictions for the hexadecapole
moment of the power spectra are however found to significantly departs from the
numerical results at low redshift. We examine this issue and found it to be
likely related to an improper modeling of the RSD damping effects on which this
moment shows large dependence.


title: Real Regulator on K_1 of elliptic surfaces

abstract:
  We give a certain method for computations of real regulator on K_1 of
elliptic surfaces. We also give an examples of a regulator indecomposable
element for an elliptic surface with an arbitrary large p_g.


title:
Quantum continuous measurements: The stochastic Schroedinger equations
  and the spectrum of the output

abstract:
  The stochastic Schr\"odinger equation, of classical or quantum type, allows
to describe open quantum systems under measurement in continuous time. In this
paper we review the link between these two descriptions and we study the
properties of the output of the measurement. For simplicity we deal only with
the diffusive case. Firstly, we discuss the quantum stochastic Schr\"odinger
equation, which is based on quantum stochastic calculus, and we show how to
transform it into the classical stochastic Schr\"odinger equation by
diagonalization of suitable quantum observables, based on the isomorphism
between Fock space and Wiener space. Then, we give the a posteriori state, the
conditional system state at time $t$ given the output up to that time and we
link its evolution to the classical stochastic Schr\"odinger equation. Finally,
we study the output of the continuous measurement, which is a stochastic
process with probability distribution given by the rules of quantum mechanics.
When the output process is stationary, at least in the long run, the spectrum
of the process can be introduced and its properties studied. In particular we
show how the Heisenberg uncertainty relations give rise to characteristic
bounds on the possible spectra and we discuss how this is related to the
typical quantum phenomenon of squeezing. We use a simple quantum system, a
two-level atom stimulated by a laser, to discuss the differences between
homodyne and heterodyne detection and to explicitly show squeezing and
anti-squeezing and the Mollow triplet in the fluorescence spectrum.


title: Two SVDs produce more focal deep learning representations

abstract:
  A key characteristic of work on deep learning and neural networks in general
is that it relies on representations of the input that support generalization,
robust inference, domain adaptation and other desirable functionalities. Much
recent progress in the field has focused on efficient and effective methods for
computing representations. In this paper, we propose an alternative method that
is more efficient than prior work and produces representations that have a
property we call focality -- a property we hypothesize to be important for
neural network representations. The method consists of a simple application of
two consecutive SVDs and is inspired by Anandkumar (2012).


title: On the origin of inflation by using exotic smoothness

abstract:
  In this paper we discuss a spacetime having the topology of S^3 x R but with
a different smoothness structure leading to a geometric model for inflation,
called geometric inflation. In particular this spacetime is not globally
hyperbolic and we obtain a time line with a spatial topology change from the
3-sphere to a homology 3-sphere and back. The topology of the spacetime remains
invariant. Among the infinite possible smoothness structures of this spacetime,
we choose a homology 3-sphere constructed from the knot 8_{10} with hyperbolic
geometry, i.e. admitting a homogenous metric of negative scalar curvature. We
discuss the accelerated expansion for FLRW cosmology caused by the topology
change. In contrast to other inflation models, this process stops after a
finite time. Alternatively, the topology change can be also described by a
SU(2)-valued scalar field. Then we calculate the expansion rate (having more
than 60 e-folds) and the energy time scale. The coupling to matter is also
interpreted geometrically and the reheating process (as well the supercooled
expansion during inflation) is naturally obtained. The model depends only on a
single parameter, a topological invariant of the homology 3-sphere, and assumes
a Planck size universe of S^3-topology. The dependence of the model on the
initial state and the a geometric interpretation of quantum fluctuations are
also discussed.

categories: gr-qc astro-ph.CO hep-th math-ph math.MP


title: Bouncing Behavior of Microscopic Dust Aggregates

abstract:
  Context: Bouncing collisions of dust aggregates within the protoplanetary may
have a significant impact on the growth process of planetesimals. Yet, the
conditions that result in bouncing are not very well understood. Existing
simulations studying the bouncing behavior used aggregates with an artificial,
very regular internal structure.
  Aims: Here, we study the bouncing behavior of sub-mm dust aggregates that are
constructed applying different sample preparation methods. We analyze how the
internal structure of the aggregate alters the collisional outcome and
determine the influence of aggregate size, porosity, collision velocity, and
impact parameter.
  Methods: We use molecular dynamics simulations where the individual
aggregates are treated as spheres that are made up of several hundred thousand
individual monomers. The simulations are run on GPUs.
  Results: Statistical bulk properties and thus bouncing behavior of sub-mm
dust aggregates depend heavily on the preparation method. In particular, there
is no unique relation between the average volume filling factor and the
coordination number of the aggregate. Realistic aggregates bounce only if their
volume filling factor exceeds 0.5 and collision velocities are below 0.1 m/s.
  Conclusions: For dust particles in the protoplanetary nebula we suggest that
the bouncing barrier may not be such a strong handicap in the growth phase of
dust agglomerates, at least in the size range of 0.1 mm.


title: Behavior Pattern Recognition using A New Representation Model

abstract:
  We study the use of inverse reinforcement learning (IRL) as a tool for the
recognition of agents' behavior on the basis of observation of their sequential
decision behavior interacting with the environment. We model the problem faced
by the agents as a Markov decision process (MDP) and model the observed
behavior of the agents in terms of forward planning for the MDP. We use IRL to
learn reward functions and then use these reward functions as the basis for
clustering or classification models. Experimental studies with GridWorld, a
navigation problem, and the secretary problem, an optimal stopping problem,
suggest reward vectors found from IRL can be a good basis for behavior pattern
recognition problems. Empirical comparisons of our method with several existing
IRL algorithms and with direct methods that use feature statistics observed in
state-action space suggest it may be superior for recognition problems.


title: Testing the Yang-Mills vacuum wave functional Ansatz in 3+1 dimensions

abstract:
  We proposed a simple Ansatz for the vacuum wave functional (VWF) of SU(2)
gauge theory in temporal gauge. In 2+1 dimensions, the Ansatz was shown to be a
fairly good approximation to the true VWF of the theory. Relative probabilities
of various test configurations in the vacuum can be computed in numerical
simulations of lattice-regulated SU(2) gauge theory by the method proposed long
ago by Greensite and Iwasaki. We report promising (albeit still preliminary)
results of testing the proposed VWF in 3+1 dimensions on various sets of
lattice gauge field configurations.


title: SkyDe: a Skype-based Steganographic Method

abstract:
  This paper introduces SkyDe (Skype Hide), a new steganographic method that
utilizes Skype encrypted packets with silence to provide the means for
clandestine communication. It is possible to reuse packets that do not carry
voice signals for steganographic purposes because Skype does not use any
silence suppression mechanism. The method's proof-of-concept implementation and
first experimental results are presented. They prove that the method is
feasible and offers steganographic bandwidth as high as 2.8 kbps.


title:
Constrained Supersymmetry after two years of LHC data: global fits with
  Fittino

abstract:
  We perform global fits to the parameters of the Constrained Minimal
Supersymmetric Standard Model (CMSSM) and to a variant with non-universal Higgs
masses (NUHM1). In addition to constraints from low-energy precision
observables and the cosmological dark matter density, we take into account the
LHC exclusions from searches in jets plus missing transverse energy signatures
with about 5/fb of integrated luminosity at sqrt(s)=7TeV. We also include the
most recent upper bound on the branching ratio Bs->mumu from LHCb. The best fit
of the CMSSM prefers a light Higgs boson just above the experimentally excluded
mass. We find that the description of the low-energy observables, (g-2)(mu) in
particular, and the non-observation of SUSY at the LHC become more and more
incompatible within the CMSSM. A potential SM-like Higgs boson with mass around
126 GeV can barely be accommodated. Values for BF(Bs->mumu) just around the
Standard Model prediction are naturally expected in the best fit region.


title:
Pulsed squeezed-light generation in a waveguide with second-subharmonic
  generation and periodic corrugation

abstract:
  Quantum pulsed second-subharmonic generation in a planar waveguide with a
small periodic corrugation at the surface is studied. Back-scattering of the
interacting fields on the corrugation enhances the nonlinear interaction giving
larger values of squeezing. The problem of back-scattering is treated by
perturbation theory, using the Fourier transform for non-dispersion
propagation, and by numerical approach in the general case. Optimum spectral
modes for squeezed-light generation are found using the Bloch-Messiah
reduction. Improvement in squeezing and increase of numbers of generated
photons are quantified for the corrugation resonating with the fundamental and
second-subharmonic field. Splitting of the generated pulse by the corrugation
is predicted.


title: Deconvoluting GPD from an explicit DVCS amplitude

abstract:
  By assuming factorization of the GPD under the deconvolution integral for the
hand-bag diagram, we develop a method of solving this integral beyond the
cross-over line. As examples we use explicit models of deeply virtual Compton
scattering (DVCS) amplitudes to get solution for relevant GPDs.


title:
Miura Reciprocal transformation for two integrable hierarchies in 1+1
  dimensions

abstract:
  We here present two different hierarchies of PDEs in 1+1 dimensions whose
first and second member are the shallow water wave Camassa-Holm and Qiao
equations, correspondingly. These two hierarchies can be transformed by
reciprocal methods into the Calogero-Bogoyanlevski-Schiff equation (CBS) and
its modified version (mCBS), respectively. Considering that there exists a
Miura transformation between the CBS and mCBS, we shall obtain a relation
between the initial hierarchies by means of a composition of a Miura and
reciprocal transforms.


title:
New Patterns of Natural R-Parity Violation with Supersymmetric Gauged
  Flavor

abstract:
  We point out that supersymmetric gauged flavor models provide a realization
of R-parity violation (RPV) that is natural in the sense that it does not lead
to catastrophic proton decay for natural values of parameters in the theory.
Within specific realizations of the idea, the relative strengths of the $\Delta
B=1$ $u^c d^c d^c$ type RPV operators can be predicted. In particular, we
present examples of gauged flavor models where RPV couplings depend on quark
masses as $(m_{u_i} m_{d_j} m_{d_k} / m_t^3)^n$ where $n=1$ or $n= 1/2$. Some
phenomenological implications of these models are discussed.


title:
A finiteness condition on the coefficients of the probabilistic zeta
  function

abstract:
  We discuss whether finiteness properties of a profinite group $G$ can be
deduced from the coefficients of the probabilistic zeta function $P_G(s)$. In
particular we prove that if $P_G(s)$ is rational and all but finitely many non
abelian composition factors of $G$ are isomorphic to $PSL(2,p)$ for some prime
$p$, then $G$ contains only finitely many maximal subgroups.


title:
Carrier envelope phase effects in ultrafast, strong-field ionization
  dynamics of multielectron systems: Xe and CS$_2$

abstract:
  Carrier envelope phase (CEP) stabilized 5 fs and 22 fs pulses of intense 800
nm light are used to probe the strong-field ionization dynamics of
multielectron entities, xenon and carbon disulfide. We compare ion yields
obtained with and without CEP-stabilization: with 8-cycle (22 fs) pulses,
Xe$^{6+}$ yields are suppressed (relative to Xe$^+$ yields) by between 30% and
50%, depending on phase, reflecting the phase dependence of non-sequential
ionization and its contribution to the formation of higher charge states. On
the other hand, ion yields for Xe$^{q+}$ ($q$=2-4) with CEP-stablized pulses
are enhanced (by up to 50%) compared to those with CEP-unstabilized pulses.
Such enhancment is particulary pronounced with 2-cycle (5 fs) pulses and is
distinctly phase-dependent. Orbital shape and symmetry are found to have a
bearing on the response of CS$_2$ to variations in optical field that are
effected as CE phase is controllably altered, keeping the overall intensity
constant. Molecular fragmentation is found to depend on field strength (not
intensity); the observed relative enhancement of fragmentation when
CEP-stabilized 2-cycle pulses are used is found to be at the expense of
molecular ionization.


title: Operator synthesis and tensor products

abstract:
  We show that Kraus' property $S_{\sigma}$ is preserved under taking weak*
closed sums with masa-bimodules of finite width, and establish an intersection
formula for weak* closed spans of tensor products, one of whose terms is a
masa-bimodule of finite width. We initiate the study of the question of when
operator synthesis is preserved under the formation of products and prove that
the union of finitely many sets of the form $\kappa \times \lambda$, where
$\kappa$ is a set of finite width, while $\lambda$ is operator synthetic, is,
under a necessary restriction on the sets $\lambda$, again operator synthetic.
We show that property $S_{\sigma}$ is preserved under spatial Morita
subordinance. En route, we prove that non-atomic ternary masa-bimodules possess
property $S_{\sigma}$ hereditarily.


title: Training Neural Networks with Stochastic Hessian-Free Optimization

abstract:
  Hessian-free (HF) optimization has been successfully used for training deep
autoencoders and recurrent networks. HF uses the conjugate gradient algorithm
to construct update directions through curvature-vector products that can be
computed on the same order of time as gradients. In this paper we exploit this
property and study stochastic HF with gradient and curvature mini-batches
independent of the dataset size. We modify Martens' HF for these settings and
integrate dropout, a method for preventing co-adaptation of feature detectors,
to guard against overfitting. Stochastic Hessian-free optimization gives an
intermediary between SGD and HF that achieves competitive performance on both
classification and deep autoencoder experiments.


title:
Fluctuation-induced and symmetry-prohibited metastabilities in spinor
  Bose-Einstein condensates

abstract:
  Spinor Bose-Einstein condensates provide a unique example in which the
Bogoliubov theory fails to describe the metastability associated with
first-order quantum phase transitions. This problem is resolved by developing
the spinor Beliaev theory which takes account of quantum fluctuations of the
condensate. It is these fluctuations that generate terms of higher than the
fourth order in the order-parameter field which are needed for the first-order
phase transitions. Besides the conventional first-order phase transitions which
are accompanied by metastable states, we find a class of first-order phase
transitions which are not accompanied by metastable states. The absence of
metastability in these phase transitions holds to all orders of approximation
since the metastability is prohibited by the symmetry of the Hamiltonian at the
phase boundary. Finally, the possibility of macroscopic quantum tunneling from
a metastable state to the ground state is discussed.


title: Strain mediated interaction of adatom dimers

abstract:
  An earlier model for substrate strain mediated interactions between monomer
adatoms is extended to the interaction of monomers with dimers and the
interaction of dimers. While monomers (sitting on high symmetric sites) are
supposed to create isotropic stress on the substrate, dimers would create
anisotropic stress caused by stretching their bond. Resulting interactions are
strongly angle dependent and also reflect the elastic anisotropy of the
substrate. The applicability of a continuum elastic model and its limitations
are discussed. Consequences for modelling adatom structures are sketched
without detailed analysis.


title: Regularized Discriminant Embedding for Visual Descriptor Learning

abstract:
  Images can vary according to changes in viewpoint, resolution, noise, and
illumination. In this paper, we aim to learn representations for an image,
which are robust to wide changes in such environmental conditions, using
training pairs of matching and non-matching local image patches that are
collected under various environmental conditions. We present a regularized
discriminant analysis that emphasizes two challenging categories among the
given training pairs: (1) matching, but far apart pairs and (2) non-matching,
but close pairs in the original feature space (e.g., SIFT feature space).
Compared to existing work on metric learning and discriminant analysis, our
method can better distinguish relevant images from irrelevant, but look-alike
images.


title: Spectroscopy of a narrow-line optical pumping transition in dysprosium

abstract:
  We present measurements of the hyperfine coefficients and isotope shifts of
the Dy I $683.731 $nm transition, using saturated absorption spectroscopy on an
atomic beam. A King Plot is drawn resulting in an updated value for the
specific mass shift $\delta \nu_\mathrm{684,sms}^\mathrm{164-162}=-534 \pm 17
MHz$. Using fluorescence spectroscopy we measure the excited state lifetime
$\tau_{684}=1.68(5) \mu$s, yielding a linewidth of $\gamma_\mathrm{684} = 95
\pm 3 kHz$. We give an upper limit to the branching ratio between the two decay
channels from the excited state showing that this transition is useable for
optical pumping into a dark state and demagnetization cooling.


title:
Quantum quenches of ion Coulomb crystals across structural instabilities
  II: thermal effects

abstract:
  We theoretically analyze the efficiency of a protocol for creating mesoscopic
superpositions of ion chains, described in [Phys. Rev. A 84, 063821 (2011)], as
a function of the temperature of the crystal. The protocol makes use of
spin-dependent forces, so that a coherent superposition of the electronic
states of one ion evolves into an entangled state between the chain's internal
and external degrees of freedom. Ion Coulomb crystals are well isolated from
the external environment, and should therefore experience a coherent, unitary
evolution, which follows the quench and generates structural Schr\"odinger
cat-like states. The temperature of the chain, however, introduces a
statistical uncertainty in the final state. We characterize the quantum state
of the crystal by means of the visibility of Ramsey interferometry performed on
one ion of the chain, and determine its decay as a function of the crystal's
initial temperature. This analysis allows one to determine the conditions on
the chain's initial state in order to efficiently perform the protocol.


title: Lie algebras admitting a metacyclic Frobenius group of automorphisms

abstract:
  Suppose that a Lie algebra $L$ admits a finite Frobenius group of
automorphisms $FH$ with cyclic kernel $F$ and complement $H$ such that the
characteristic of the ground field does not divide $|H|$. It is proved that if
the subalgebra $C_L(F)$ of fixed points of the kernel has finite dimension $m$
and the subalgebra $C_L(H)$ of fixed points of the complement is nilpotent of
class $c$, then $L$ has a nilpotent subalgebra of finite codimension bounded in
terms of $m$, $c$, $|H|$, and $|F|$ whose nilpotency class is bounded in terms
of only $|H|$ and $c$. Examples show that the condition of the kernel $F$ being
cyclic is essential.


title:
Charged black hole solutions of non-linear electrodynamics and
  generalized gauge field theories

abstract:
  We summarize the main features of a class of \emph{asymptotically anomalous}
(asymptotically flat, but non Schwarzschild-like) gravitational configurations
in models of gravitating non-linear electrodynamics in three space dimensions,
whose Lagrangian densities are defined as arbitrary functions of the two field
invariants and constrained by several physical admissibility conditions. This
class of models and their associated electrostatic spherically symmetric black
hole solutions are characterized by the behaviours of the Lagrangian densities
around the vacuum and at the boundary of their domain of definition.


title:
Complete linearization of a mixed problem to the Maxwell-Bloch equations
  by matrix Riemann-Hilbert problem

abstract:
  Considered in this paper the Maxwell-Bloch (MB) equations became known after
Lamb [1-4]. In [5] Ablowitz, Kaup and Newell proposed the inverse scattering
transform (IST) to the Maxwell-Bloch equations for studying a physical
phenomenon known as the self-induced transparency. A description of general
solutions to the MB equations and their classification was done in [6] by
Gabitov, Zakharov and Mikhailov. In particular, they gave an approximate
solution of the mixed problem to the MB equations in the domain
$x,t\in(0,L)\times (0,\infty)$ and, on this bases, a description of the
phenomenon of superfluorescence. It was emphasized in [6] that the IST method
is non-adopted for the mixed problem. Authors of the mentioned papers have
developed the IST method in the form of the Marchenko integral equations. We
propose another approach for solving the mixed problem to the MB equations in
the quarter plane. We use matrix Riemann-Hilbert (RH) problems and simultaneous
spectral analysis of the both Lax operators. First, we introduce appropriate
compatible solutions of the corresponding Ablowitz-Kaup-Newell-Segur (AKNS)
equations and then we suggest such a matrix RH problem which corresponds to the
mixed problem for MB equations. Second, we generalize this matrix RH problem,
prove a unique solvability of the new RH problem and show that the RH problem
(after a specialization of jump matrix) generates the MB equations. As a result
we obtain solutions defined on the whole line and studied in [5] and [6],
solutions to the mixed problem studied below in this paper and solutions with a
periodic (finite-gap) boundary conditions. The kind of solution is defined by
the specialization of conjugation contour and jump matrix.


title:
SCUBA-2: The 10000 pixel bolometer camera on the James Clerk Maxwell
  Telescope

abstract:
  SCUBA-2 is an innovative 10000 pixel bolometer camera operating at
submillimetre wavelengths on the James Clerk Maxwell Telescope (JCMT). The
camera has the capability to carry out wide-field surveys to unprecedented
depths, addressing key questions relating to the origins of galaxies, stars and
planets. With two imaging arrays working simultaneously in the atmospheric
windows at 450 and 850 microns, the vast increase in pixel count means that
SCUBA-2 maps the sky 100-150 times faster than the previous SCUBA instrument.
In this paper we present an overview of the instrument, discuss the physical
characteristics of the superconducting detector arrays, outline the observing
modes and data acquisition, and present the early performance figures on the
telescope. We also showcase the capabilities of the instrument via some early
examples of the science SCUBA-2 has already undertaken. In February 2012,
SCUBA-2 began a series of unique legacy surveys for the JCMT community. These
surveys will take 2.5 years and the results are already providing complementary
data to the shorter wavelength, shallower, larger-area surveys from Herschel.
The SCUBA-2 surveys will also provide a wealth of information for further study
with new facilities such as ALMA, and future telescopes such as CCAT and SPICA.


title: Nestedness in mutualistic networks

abstract:
  James et al. (2012) presented simulations that apparently falsify the
analytical result by Bastolla et al. (2009), who showed that nested mutualistic
interactions decrease interspecific competition and increase biodiversity in
model ecosystems. This contradiction, however, mainly stems from the incorrect
application of formulas derived for fully connected networks to empirical,
sparse networks.


title:
SCUBA-2: iterative map-making with the Sub-Millimetre User Reduction
  Facility

abstract:
  The Submillimetre Common User Bolometer Array 2 (SCUBA-2) is an instrument
operating on the 15-m James Clerk Maxwell Telescope, nominally consisting of
5120 bolometers in each of two simultaneous imaging bands centred over 450 and
850 um. The camera is operated by scanning across the sky and recording data at
a rate of 200 Hz. As the largest of a new generation of multiplexed kilopixel
bolometer cameras operating in the (sub)millimetre, SCUBA-2 data analysis
represents a significant challenge. We describe the production of maps using
the Sub-Millimetre User Reduction Facility (SMURF) in which we have adopted a
fast, iterative approach to map-making that enables data reduction on single,
modern, high-end desktop computers, with execution times that are typically
shorter than the observing times. SMURF is used in an automated setting, both
at the telescope for real-time feedback to observers, as well as for the
production of science products for the JCMT Science Archive at the Canadian
Astronomy Data Centre. Three detailed case studies are used to: (i) explore
convergence properties of the map-maker using simple prior constraints (Uranus
-- a point source); (ii) achieve the white-noise limit for faint point-source
studies (extragalactic blank-field survey of the Lockman Hole); and (iii)
demonstrate that our strategy is capable of recovering angular scales
comparable to the size of the array footprint (approximately 5 arcmin) for
bright extended sources (star-forming region M17).


title: Higher-order tangent and secant numbers

abstract:
  In this paper higher-order tangent numbers and higher-order secant numbers,
${\mathscr{T}(n,k)}_{n,k =0}^{\infty}$ and ${\mathscr{S}(n,k)}_{n,k
=0}^{\infty}$, have been studied in detail. Several known results regarding
$\mathscr{T}(n,k)$ and $\mathscr{S}(n,k)$ have been brought together along with
many new results and insights and they all have been proved in a simple and
unified manner. In particular, it is shown that the higher-order tangent
numbers $\mathscr{T}(n,k)$ constitute a special class of the partial
multivariate Bell polynomials and that $\mathscr{S}(n,k)$ can be computed from
the knowledge of $\mathscr{T}(n,k)$. In addition, a simple explicit formula
involving a double finite sum is deduced for the numbers $\mathscr{T}(n,k)$ and
it is shown that $\mathscr{T}(n,k)$ are linear combinations of the classical
tangent numbers $T_n$.


title:
Adsorption of titanium and titanium dioxide on graphene: n and p-type
  doping

abstract:
  Ab initio calculations within the density-functional theory formalism are
performed to investigate the ground state, electric charge doping, and
electronic properties of titanium and titanium dioxide monolayers adsorbed on a
graphene surface. A new ground state structrure of Ti monolayer adsorbed on
graphene is reported which is shown to be stable up to T = 500 K. Effects due
to lower and higher Ti adatoms coverage are studied. We find that the adsorbed
Ti provides a strong n-type doping which supports recent experimental
observations. On the other hand, TiO_2 can induce both p- and n-type doping in
the carbon monolayer depending on whether oxygen or titanium atoms are closest
to the substrate. We identify the structures which are responsible for the
experimentally observed autocompensation mechanism that leads to the reversion
of adsorbate effects after oxidation of the adsorbed Ti.


title: Positive exponential sums and odd polynomials

abstract:
  Given an odd integer polynomial f(x) of a degree k >=3, we construct a
non-negative valued, normed trigonometric polynomial with the spectrum in the
set of integer values of f(x) not greater than n, and a small free coefficient
a_{0}=O((\log n)^{-1/k}). This gives an alternative proof for the maximal
possible cardinality of a set A, so that A-A does not contain an element of
f(x). We also discuss other interpretations and an ergodic characterization of
that bound.


title: On universal left-stability of $\epsilon$-isometries

abstract:
  Let $X$, $Y$ be two real Banach spaces, and $\eps\geq0$. A map
$f:X\rightarrow Y$ is said to be a standard $\eps$-isometry if
$|\|f(x)-f(y)\|-\|x-y\||\leq\eps$ for all $x,y\in X$ and with $f(0)=0$. We say
that a pair of Banach spaces $(X,Y)$ is stable if there exists $\gamma>0$ such
that for every such $\eps$ and every standard $\eps$-isometry $f:X\rightarrow
Y$ there is a bounded linear operator $T:L(f)\equiv\overline{{\rm
span}}f(X)\rightarrow X$ such that $\|Tf(x)-x\|\leq\gamma\eps$ for all $x\in
X$. $X (Y)$ is said to be left (right)-universally stable, if $(X,Y)$ is always
stable for every $Y (X)$. In this paper, we show that if a dual Banach space
$X$ is universally-left-stable, then it is isometric to a complemented
$w^*$-closed subspace of $\ell_\infty(\Gamma)$ for some set $\Gamma$, hence, an
injective space; and that a Banach space is universally-left-stable if and only
if it is a cardinality injective space; and universally-left-stability spaces
are invariant.


title: Galactic kinematics of planetary nebulae with [WC] central star

abstract:
  High resolution spectra are used to analyze the galactic kinematics and
distribution of a sample of planetary nebulae with [WR] and 'wel' central star
([WR]PN and WLPN). The circular and peculiar velocities (Vpec) of the objects
were derived. The results are: a) [WR]PNe are distributed mainly in the
galactic disk and they are more concentrated in a thinner disk than WLPNe and
normal PNe, which corresponds to a younger population; b) the sample was
separated in Peimbert's types, and it is found that Type I PNe have Vpec <50 km
s-1, indicating young objects. Most of the [WR]PNe are of Type II showing Vpec
<60 km s-1, although a small percentage is of Type III, with larger Vpec
showing that the Wolf-Rayet phenomenon in central stars can occur at any
stellar mass and in old objects. None of our WLPNe is Type I. Thus, [WR]PNe and
WLPNe are unrelated objects.


title: New identities for the partial Bell polynomials

abstract:
  A new explicit closed-form formula for the multivariate $(n, k)$th partial
Bell polynomial $B_{n,k} (x_1, x_2, ..., x_{n - k + 1})$ is deduced. The
formula involves multiple summations and makes it possible, for the first time,
to easily evaluate $B_{n,k}$ directly for given values of $n$ and $k$ ($n\geq
k, k =2, 3,...$). Also, a new addition formula (with respect to $k$) is found
for the polynomials $B_{n,k}$ and it is shown that they admit a new recurrence
relation. Several special cases and consequences are pointed out, and some
examples are also given.


title: Limit Representations of Riemann's Zeta Function

abstract:
  In this paper it is shown that Riemann's zeta function $\zeta(s)$ admits two
limit representations when $\Re{(s)}>1.$ Each of these limit representations is
deduced by using simple arguments based upon the classical Tannery's (limiting)
theorem for series.


title:
Epitaxially Strained BiMnO3 Films: High-Temperature Robust Multiferroic
  Materials with Novel Magnetoelectric Coupling

abstract:
  Multiferroics with the coexistence of ferroelectric and ferromagnetic orders
are ideal candidates for magnetoelectric applications. Unfortunately, only very
few ferroelectric-ferromagnetic multiferroics (with low magnetic critical
temperature) were discovered. Here we perform first principles calculations to
investigate the effects of the epitaxial strain on the properties of BiMnO3
films grown along the pseudocubic [001] direction. Unlike the ground state with
the centrosymmetric C2/c space group in bulk, we reveal that the tensile
epitaxial strain stabilizes the ferromagnetic and ferroelectric Cc state with a
large polarization (P > 80 {\mu}C/cm2) and high Curie temperature (Tc is
predicted to be between 169 K and 395 K). More importantly, there is a novel
intrinsic magnetoelectric coupling in the multiferroic Cc state with the easy
magnetization axis controllable by the external electric field.


title: Two-dimensional magnetotransport in Bi2Te2Se nanoplatelets

abstract:
  Single-crystalline Bi2Te2Se nanoplates with thicknesses between 8 and 30 nm
and lateral sizes of several micrometers were synthesized by a vapour-solid
growth method. Angle-dependent magnetoconductance measurements on individual
nanoplates revealed the presence of a two-dimensional weak anti-localization
effect. In conjunction with gate-dependent charge transport studies performed
at different temperatures, evidence was gained that this effect originates from
the topologically protected surface states of the nanoplates.


title: Composable security of delegated quantum computation

abstract:
  Delegating difficult computations to remote large computation facilities,
with appropriate security guarantees, is a possible solution for the
ever-growing needs of personal computing power. For delegated computation
protocols to be usable in a larger context---or simply to securely run two
protocols in parallel---the security definitions need to be composable. Here,
we define composable security for delegated quantum computation. We distinguish
between protocols which provide only blindness---the computation is hidden from
the server---and those that are also verifiable---the client can check that it
has received the correct result. We show that the composable security
definition capturing both these notions can be reduced to a combination of
several distinct "trace-distance-type" criteria---which are, individually,
non-composable security definitions.
  Additionally, we study the security of some known delegated quantum
computation protocols, including Broadbent, Fitzsimons and Kashefi's Universal
Blind Quantum Computation protocol. Even though these protocols were originally
proposed with insufficient security criteria, they turn out to still be secure
given the stronger composable definitions.


title: Approximation of the spectrum of a manifold by discretization

abstract:
  We approximate the spectral data (eigenvalues and eigenfunctions) of compact
Riemannian manifold by the spectral data of a sequence of (computable) discrete
Laplace operators associated to some graphs immersed in the manifold. We give
an upper bound on the error that depends on upper bounds on the diameter and
the sectional curvature and on a lower bound on the injectivity radius.


title:
Super-Renormalizablity of Yang-Mills Models in the Third Order of
  Perturbation Theory

abstract:
  We continue the investigation from a previous paper concerning the
super-renormalizablity of gauge models going to the third order of the
perturbation theory. Here we consider only the Yang-Mills case and we prove
that this property is true iff some supplementary restrictions are imposed on
the constants appearing in the interaction Lagrangian. The usual standard model
does not verify these restrictions, but there is hope that such models do exist
and they are in agreement with the phenomenology. We consider here only the
even-parity contributions.


title:
Canonical Angles In A Compact Binary Star System With Spinning
  Components: Approximative Solution Through Next-To-Leading-Order Spin-Orbit
  Interaction for Circular Orbits

abstract:
  This publication will deal with an explicit determination of the time
evolution of the spin orientation axes and the evolution of the orbital phase
in the case of circular orbits under next-to-leading order spin-orbit
interactions. We modify the method of Schneider and Cui proposed in ["Theoreme
\"uber Bewegungsintegrale und ihre Anwendungen in Bahntheorien", Verlag der
Bayerischen Akademie der Wissenschaften, volume 212, 2005.] to iteratively
remove oscillatory terms in the equations of motion for different masses that
were not present in the case of equal masses. Our smallness parameter is chosen
to be the difference of the symmetric mass ratio to the value 1/4. Before the
first Lie transformation, the set of conserved quantities consists of the total
angular momentum, the amplitudes of the orbital angular momentum and of the
spins, $L, S_1,$ and $S_2$. In contrary, the magnitude of the total spin
$S=|S_1+S_2|$ is not conserved and we wish to shift its non-conservation to
higher orders of the smallness parameter.
  We perform the iterations explicitly to first order, while performing higher
orders would mean no structural difference or harder mathematical difficulties.
To apply this method, we develop a canonical system of spin variables reduced
by the conservation law of total angular momentum, which is imposed on the
phase space as a constraint. The result is an asymptotic series in $\epsilon$
that may be truncated appropriately considering the physical properties of the
regarded system.


title: Zero-Shot Learning Through Cross-Modal Transfer

abstract:
  This work introduces a model that can recognize objects in images even if no
training data is available for the objects. The only necessary knowledge about
the unseen categories comes from unsupervised large text corpora. In our
zero-shot framework distributional information in language can be seen as
spanning a semantic basis for understanding what objects look like. Most
previous zero-shot learning models can only differentiate between unseen
classes. In contrast, our model can both obtain state of the art performance on
classes that have thousands of training images and obtain reasonable
performance on unseen classes. This is achieved by first using outlier
detection in the semantic space and then two separate recognition models.
Furthermore, our model does not require any manually defined semantic features
for either words or images.


title: On the Global Structure of Pulsar Force-free Magnetosphere

abstract:
  The dipolar magnetic field structure of the neutron star is modified by the
plasma originating in the pulsar magnetopshere. In the simplest case of a
stationary axisymmetric force-free magnetosphere, a self-consistent description
of the fields and currents is given by the well-known pulsar equation. Here we
revise the commonly used boundary conditions of the problem in order to
incorporate the plasma-producing gaps and to provide a framework for a truly
self-consistent treatment of the pulsar magnetosphere. The generalized
multipolar solution of the pulsar equation is found, which, as compared to the
customary split monopole solution, is suggested to better represent the
character of the dipolar force-free field at large distances. In particular,
the outer gap location entirely inside the light cylinder implies that beyond
the light cylinder the null and critical lines should be aligned and go
parallel to the equator at a certain altitude. Our scheme of the pulsar
force-free magnetosphere, which will hopefully be followed by extensive
analytic and numerical studies, may have numerous implications for different
fields of pulsar research.


title:
Two Component Dark Matter : A Possible Explanation of 130 GeV \gamma-Ray
  Line from the Galactic Centre

abstract:
  Recently there has been a hint of a gamma-ray line at 130 GeV originated from
the galactic centre after the analysis of the Fermi-LAT satellite data. Being
monochromatic in nature, it rules out the possibility of having its
astrophysical origin and there has been a speculation that this line could be
originated from dark matter annihilation. In this work, we propose a two
component dark matter scenario where an extension of the Standard model by an
inert Higgs doublet and a gauge singlet scalar concocted with $\rm {Z_2 \times
Z^{\prime}_2}$ symmetry, is considered. We find that our scenario can not only
explain the 130 GeV gamma-ray line through dark matter annihilation but also
produce the correct dark matter relic density. We have used the Standard Model
Higgs mass around 125 GeV as intimated by the LHC data..


title: An identity conjectured by Lacasse via the tree function

abstract:
  A. Lacasse conjectured a combinatorial identity in his study of learning
theory. Various people found independent proofs. Here is another one that is
based on the study of the tree function, with links to Lamberts $W$-function
and Ramanujan's $Q$-function. It is particularly short.


title: Magnetic, magnetocaloric and transport properties of HoRuSi compound

abstract:
  Magnetic, thermal, magnetocaloric and transport properties of polycrystalline
HoRuSi have been studied. It was found that the compound shows magnetic
transitions at T1=18 K and T2=8 K. Magnetization data reveal that the
ferromagnetic ordering is dominant in this compound. Magnetocaloric effect has
been estimated from M-H-T data and the -{\Delta}SM has been found to be 12.8
J/kg K for field of 50 kOe, which is comparable to some potential refrigerant
materials in same temperature regime.


title: Some new orders of Hadamard and skew-Hadamard matrices

abstract:
  We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and
skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we
know, such matrices have not been constructed previously. The constructions use
the Goethals-Seidel array, suitable supplementary difference sets on a cyclic
group and a new efficient matching algorithm based on hashing techniques.


title: The Quark-Gluon Vertex in Landau gauge QCD

abstract:
  The coupled system of the quark-gluon vertex and quark propagator
Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The
aim is to get a deeper insight into the mechanisms of quark confinement and
dynamical chiral symmetry breaking and into a possible relation between these
two phenomena. To this end an earlier study is extended by improving
systematically on the truncations imposed on the quark-gluon vertex DSE. A
clear infrared enhancement for all tensor structures of the quark-gluon vertex
is obtained.


title:
Effects of Linear Redshift Space Distortions and Perturbation Theory on
  BAOs: A 3D Spherical Analysis

abstract:
  The Baryon Acoustic Oscillations (BAO) are features in the matter power
spectrum on scales of order 100-150 h^{-1} Mpc that promise to be a powerful
tool to constrain and test cosmological models. The BAO have attracted such
attention that future upcoming surveys have been designed with the BAO at the
forefront of the primary science goals. Recent studies have advocated the use
of a spherical-Fourier Bessel (sFB) expansion for future wide field surveys
that cover both wide and deep regions of the sky necessitating the simultaneous
treatment of the spherical sky geometry as well as the extended radial
coverage. Ignoring the possible effects of growth, which is not expected to be
significant at low redshifts, we present an extended analysis of the BAOs using
the sFB formalism by taking into account the role of non-linearities and linear
redshift distortions in the oscillations observed in the galaxy power spectrum.
The sFB power spectrum has both radial and tangential dependence and it has
been shown that in the limit that we approach a deep survey the sFB power
spectrum is purely radial and collapses to the Cartesian Fourier power
spectrum. This radialisation of information is shown to hold even in the
presence of redshift space distortions (RSD) and 1-loop corrections to the
galaxy power spectrum albeit with modified tangential and radial dependence. As
per previous studies we find that the introduction of non-linearities leads to
a damping of the oscillations in the matter power spectrum.


title:
Replicas of the Fano resonances induced by phonons in a subgap Andreev
  tunneling

abstract:
  We study influence of the phonon modes on a subgap spectrum and Andreev
conductance for the double quantum dot vertically coupled between a metallic
and superconducting lead. For the monochromatic phonon reservoir we obtain
replicas of the interferometric Fano-type structures appearing simultaneously
in the particle and hole channels. We furthermore confront the induced on-dot
pairing with the electron correlations and investigate how the phonon modes
affect the zero-bias signature of the Kondo effect in Andreev conductance.


title:
Analytical formulas for calculating the extremal ranks of the
  matrix-valued function $A + BXC$ when the rank of $X$ is fixed

abstract:
  One of the simplest matrix-valued function with a single variable matrix $X$
is given by $A + BXC$. In this this note, analytical formulas are established
for calculating the maximal and minimal ranks of $A + BXC$ when the rank of the
variable matrix $X$ is fixed by using a simultaneous decomposition of $A$, $B$
and $C$ and some preliminary results. Some applications of the formulas in
completing partially-specified block matrix with the maximal and minimal ranks
are also given.


title: Duality and Network Theory in Passivity-based Cooperative Control

abstract:
  This paper presents a class of passivity-based cooperative control problems
that have an explicit connection to convex network optimization problems. The
new notion of maximal equilibrium independent passivity is introduced and it is
shown that networks of systems possessing this property asymptotically approach
the solutions of a dual pair of network optimization problems, namely an
optimal potential and an optimal flow problem. This connection leads to an
interpretation of the dynamic variables, such as system inputs and outputs, to
variables in a network optimization framework, such as divergences and
potentials, and reveals that several duality relations known in convex network
optimization theory translate directly to passivity-based cooperative control
problems. The presented results establish a strong and explicit connection
between passivity-based cooperative control theory on the one side and network
optimization theory on the other, and they provide a unifying framework for
network analysis and optimal design. The results are illustrated on a nonlinear
traffic dynamics model that is shown to be asymptotically clustering.


title:
L^\infty norms of holomorphic modular forms in the case of compact
  quotient

abstract:
  We prove a sub-convex estimate for the sup-norm of $L^2$-normalized
holomorphic modular forms of weight $k$ on the upper half plane, with respect
to the unit group of a quaternion division algebra over $\mf Q$. More precisely
we show that when the $L^2$ norm of an eigenfunction $f$ is one, | f |_\infty
\ll k^{1/2 - 12/131 + \varepsilon}, for any $\varepsilon>0$ and for all $k$
sufficiently large.


title: Dyadic cubes in spaces of homogeneous type

abstract:
  We give a comprehensive representation of the construction of dyadic cubes in
spaces of homogeneous type.


title: A topos for a nonstandard functional interpretation

abstract:
  We introduce a new topos in order to give a semantic account of the
nonstandard functional interpretation introduced by Eyvind Briseid, Pavol
Safarik and the author.


title:
The largest mid-infrared atlas of active galactic nuclei at
  sub-arcsecond spatial scales

abstract:
  We present the largest mid-infrared atlas of active galactic nuclei at
sub-arcsecond spatial scales containing 249 objects. It comprises all
ground-based HR MIR observations performed to date. This catalog includes a
large number of new observations. The photometry in multiple filters allows for
characterizing the properties of the dust emission for most objects. Because of
its size and characteristics, this sample is very well-suited for AGN
unification studies. In particular, we discuss the enlarged MIR--X-ray
correlation which extends over six orders of magnitude in luminosity and
potentially probes different physical mechanisms. Finally, tests for intrinsic
differences between the AGN types are presented and we discuss dependencies of
MIR--X-ray properties with respect to fundamental AGN parameters such as
accretion rate and the column density and covering factor of obscuring
material.


title: Abstract simplicity of locally compact Kac-Moody groups

abstract:
  In this paper, we establish that complete Kac-Moody groups over finite fields
are abstractly simple. The proof makes an essential use of Mathieu-Rousseau's
construction of complete Kac-Moody groups over fields. This construction has
the advantage that both real and imaginary root spaces of the Lie algebra lift
to root subgroups over arbitrary fields. A key point in our proof is the fact,
of independent interest, that both real and imaginary root subgroups are
contracted by conjugation of positive powers of suitable Weyl group elements.


title:
Hausdorff measures and dimensions in non equiregular sub-Riemannian
  manifolds

abstract:
  This paper is a starting point towards computing the Hausdorff dimension of
submanifolds and the Hausdorff volume of small balls in a sub-Riemannian
manifold with singular points. We first consider the case of a strongly
equiregular submanifold, i.e., a smooth submanifold N for which the growth
vector of the distribution D and the growth vector of the intersection of D
with TN are constant on N. In this case, we generalize the result in [12],
which relates the Hausdorff dimension to the growth vector of the distribution.
We then consider analytic sub-Riemannian manifolds and, under the assumption
that the singular point p is typical, we state a theorem which characterizes
the Hausdorff dimension of the manifold and the finiteness of the Hausdorff
volume of small balls B(p,\rho) in terms of the growth vector of both the
distribution and the intersection of the distribution with the singular locus,
and of the nonholonomic order at p of the volume form on M evaluated along some
families of vector fields.


title: Convex Variational Image Restoration with Histogram Priors

abstract:
  We present a novel variational approach to image restoration (e.g.,
denoising, inpainting, labeling) that enables to complement established
variational approaches with a histogram-based prior enforcing closeness of the
solution to some given empirical measure. By minimizing a single objective
function, the approach utilizes simultaneously two quite different sources of
information for restoration: spatial context in terms of some smoothness prior
and non-spatial statistics in terms of the novel prior utilizing the
Wasserstein distance between probability measures. We study the combination of
the functional lifting technique with two different relaxations of the
histogram prior and derive a jointly convex variational approach. Mathematical
equivalence of both relaxations is established and cases where optimality holds
are discussed. Additionally, we present an efficient algorithmic scheme for the
numerical treatment of the presented model. Experiments using the basic
total-variation based denoising approach as a case study demonstrate our novel
regularization approach.


title: Cell polarisation model : the 1D case

abstract:
  We study the dynamics of a one-dimensional non-linear and non-local drift-di
usion equation set in the half-line, with the coupling involving the trace
value on the boundary. The initial mass M of the density determines the
behaviour of the equation: attraction to self similar pro le, to a steady state
of nite time blow up for supercritical mass. Using the logarithmic Sobolev and
the HWI inequalities we obtain a rate of convergence for the cases subcritical
and critical mass. Moreover, we prove a comparison principle on the equation
obtained after space integration. This concentration-comparison principle
allows proving blow-up of solutions for large initial data without any
monotonicity assumption on the initial data.


title: A Simple Solution to the Polonyi Problem in Gravity Mediation

abstract:
  The Polonyi field is a necessary ingredient in any viable scenario of gravity
mediated supersymmetry breaking. However, it is known that the presence of the
Polonyi field leads to several serious cosmological problems, which are
collectively referred to as the Polonyi problem. We show that the Polonyi
problem can be solved if the Polonyi field couples to a pseudo modulus in the
superpotential and this pseudo modulus has a large field expectation value
during inflation. To illustrate our idea, we construct an explicit model which
can be readily connected to scenarios of gravity mediation. The generation of
the mass parameters contained in our model by strong gauge dynamics is also
commented on.


title:
Thermodynamical instabilities of perfect fluid spheres in General
  Relativity

abstract:
  For a static, perfect fluid sphere with a general equation of state, we
obtain the relativistic equation of hydrostatic equilibrium, namely the
Tolman-Oppenheimer-Volkov equation, as the thermodynamical equilibrium in the
microcanonical, as well as the canonical, ensemble. We find that the stability
condition determined by the second variation of entropy coincides with the
dynamical stability condition derived by variations to first order in the
dynamical Einstein's equations. Thus, we show the equivalence of microcanonical
thermodynamical stability with linear dynamical stability for a static,
spherically symmetric field in General Relativity. We calculate the Newtonian
limit and find the interesting property, that the microcanonical ensemble in
General Relativity transforms to the canonical ensemble for non-relativistic
dust particles. Finally, for specific kinds of systems, we study the effect of
the cosmological constant to the microcanonical thermodynamical stability of
fluid spheres.


title:
NLO EW and QCD proton-proton cross section calculations with
  mcsanc-v1.01

abstract:
  mcsanc is a Monte-Carlo tool based on the SANC (Support for Analytic and
Numeric Calculations for experiments at colliders) modules for higher order
calculations in hadron collider physics. It allows to evaluate NLO QCD and EW
cross sections for Drell-Yan processes (inclusive), associated Higgs and gauge
boson production and single-top quark production in s- and t-channel. The paper
contains theoretical description of the SANC approach, numerical validations
and manual.


title: Duality and Dimensional Reduction of 5D BF Theory

abstract:
  A planar boundary introduced \`a la Symanzik in the 5D topological BF theory,
with the only requirement of locality and power counting, allows to uniquely
determine a gauge invariant, non topological 4D Lagrangian. The boundary
condition on the bulk fields is interpreted as a duality relation for the
boundary fields, in analogy with the fermionization duality which holds in the
3D case. This suggests that the 4D degrees of freedom might be fermionic,
although starting from a bosonic bulk theory. The method we propose to
dimensionally reduce a Quantum Field Theory and to identify the resulting
degrees of freedom can be applied to a generic spacetime dimension.


title:
The coincidence problem for shifted lattices and crystallographic point
  packings

abstract:
  A coincidence site lattice is a sublattice formed by the intersection of a
lattice $\Gamma$ in $\mathbb{R}^d$ with the image of $\Gamma$ under a linear
isometry. Such a linear isometry is referred to as a linear coincidence
isometry of $\Gamma$. Here, we consider the more general case allowing any
affine isometry. Consequently, general results on coincidence isometries of
shifted copies of lattices, and of crystallographic point packings are
obtained. In particular, we discuss the shifted square lattice and the diamond
packing in detail.


title:
Characterization of the sodium layer at Cerro Pachon, and impact on
  laser guide star performance

abstract:
  Detailed knowledge of the mesopheric sodium layer characteristics is crucial
to estimate and optimize the performance of Laser Guide Star (LGS) assisted
Adaptive Optics (AO) systems. In this paper, we present an analysis of two sets
of data on the mesospheric sodium layer. The first set comes from a laser
experiment that was carried out at Cerro Tololo to monitor the abundance and
altitude of the mesospheric sodium in 2001, during six runs covering a period
of one year. This data is used to derive the mesospheric sodium column density,
the sodium layer thickness and the temporal behavior of the sodium layer mean
altitude. The second set of data was gathered during the first year of the
Gemini MCAO System (GeMS) commissioning and operations. GeMS uses five LGS to
measure and compensate for atmospheric distortions. Analysis of the LGS
wavefront sensor data provides information about the sodium photon return and
the spot elongation seen by the WFS. All these parameters show large variations
on a yearly, nightly and hourly basis, affecting the LGS brightness, shape and
mean altitude. The sodium photon return varies by a factor of three to four
over a year, and can change by a factor of two over a night. In addition, the
comparison of the photon returns obtained in 2001 with those measured a decade
later using GeMS shows a significant difference in laser format efficiencies.
We find that the temporal power spectrum of the sodium mean altitude follows a
linear trend, in good agreement with the results reported by Pfrommer & Hickson
(2010).


title: Electric and magnetic Weyl tensors in higher dimensions

abstract:
  Recent results on purely electric (PE) or magnetic (PM) spacetimes in n
dimensions are summarized. These include: Weyl types; diagonalizability;
conditions under which direct (or warped) products are PE/PM.


title: The Transformation-Groupoid Structure of the q-Gaussian Family

abstract:
  The q-Gaussian function emerges naturally in various applications of
statistical mechanics of non-ergodic and complex systems. In particular it was
shown that in the theory of binary processes with correlations, the q-Gaussian
can appear as a limiting distribution. Further, there exist several problems
and situations where, depending on procedural or algorithmic details of
data-processing, q-Gaussian distributions may yield distinct values of q, where
one value is larger, the other smaller than one. To relate such pairs of
q-Gaussians it would be convenient to map such distributions onto one another,
ideally in a way, that any value of q can be mapped uniquely to any other value
q'. So far a (duality) map from q -> q'=(7-5q)/(5-3q) was found, mapping q from
the interval q\in [-\infty, 1] -> q'\in [1, 5/3]. Here we complete the theory
of transformations of q-Gaussians by deriving a general map \gamma_{qq'}, that
transforms normalizable q-Gaussian distributions onto one another for which q
and q' are in the range of [1,3). By combining this with the previous result, a
mapping from any value of q \in [-\infty,3) is possible to any other value
q'\in [-\infty,3). We show that the action of \gamma_{qq'} on the set of
q-Gaussian distributions is a transformation groupoid.


title:
Equilibrium and nonequilibrium entanglement properties of 2D and 3D
  Fermi gases

abstract:
  We investigate the entanglement properties of the equilibrium and
nonequilibrium quantum dynamics of 2D and 3D Fermi gases, by computing
entanglement entropies of extended space regions, which generally show
multiplicative logarithmic corrections to the leading power-law behaviors,
corresponding to the logarithmic corrections to the area law.
  We consider 2D and 3D Fermi gases of N particles constrained within a limited
space region, for example by a hard-wall trap, at equilibrium at T=0, i.e. in
their ground state, and compute the first few terms of the asymptotic large-N
behaviors of entanglement entropies and particle fluctuations of subsystems
with some convenient geometries, which allow us to significantly extend their
computation. Then, we consider their nonequilibrium dynamics after
instantaneously dropping the hard-wall trap, which allows the gas to expand
freely. We compute the time dependence of the von Neumann entanglement entropy
of space regions around the original trap. We show that at small time it is
characterized by the relation $S \approx \pi^2 V/3$ with the particle variance,
and multiplicative logarithmic corrections to the leading power law, i.e. $S
\sim t^{1-d}\ln(1/t)$.


title:
Realization of associative products in terms of Moyal and tomographic
  symbols

abstract:
  The quantizer-dequantizer method allows to construct associative products on
any measure space. Here we consider an inverse problem: given an associative
product is it possible to realize it within the quantizer-dequantizer
framework? The answer is positive in finite dimensions and we give a few
examples in infinite dimensions.


title: StellaR: a Package to Manage Stellar Evolution Tracks and Isochrones

abstract:
  We present the R package stellaR, which is designed to access and manipulate
publicly available stellar evolutionary tracks and isochrones from the Pisa
low-mass database. The procedures of the extraction of important stages in the
evolution of a star from the database, of the isochrones construction from
stellar tracks and of the interpolation among tracks are discussed and
demonstrated.


title: Quantum dynamics of evolution of flat universe in the first stage

abstract:
  Process of formation of the universe with its further expansion in the first
evolution stage is investigated in the framework of Friedmann-Robertson-Walker
metrics on the basis of quantum model, where a new type of matter is
introduced, which energy density is dependent on velocity of the expansion. It
is shown that such an improvement of the model forms potential barrier for the
flat universe at $k=0$ (in contrast with generalized Chaplygin gas model).
Peculiarities of wave function are analyzed in details, which is calculated by
fully quantum (non-semiclassic) approach, for the different barrier regions and
stages of evolution. Resonant influence of the initial and boundary conditions
on the barrier penetrability is shown (in contrast with Vilenkin and Hawking
approaches). In order to perform a comparative analysis, how much quickly the
universe is expanded by different models, new quantum definitions of velocity
and Hubble function are introduced. These notions allow us to study dynamics of
evolution of universe in quantum cosmology both in the first stage, and in
later times.


title: Gamma-Ray Observational Properties of TeV-Detected Blazars

abstract:
  The synergy between the Fermi-LAT and ground-based Cherenkov telescope arrays
gives us the opportunity for the first time to characterize the high-energy
emission from blazars over 5 decades in energy, from 100 MeV to 10 TeV. In this
study, we perform a Fermi-LAT spectral analysis for TeV-detected blazars and
combine it with archival TeV data. We examine the observational properties in
the gamma-ray band of our sample of TeV-detected blazars and compare the
results with X-ray and GeV-selected populations. The spectral energy
distributions (SEDs) that result from combining Fermi-LAT and ground-based
spectra are studied in detail. Simple parameterizations such as a power-law
function do not always reproduce the high-energy SEDs, where spectral features
that could indicate intrinsic absorption are observed.


title: Modeling human dynamics of face-to-face interaction networks

abstract:
  Face-to-face interaction networks describe social interactions in human
gatherings, and are the substrate for processes such as epidemic spreading and
gossip propagation. The bursty nature of human behavior characterizes many
aspects of empirical data, such as the distribution of conversation lengths, of
conversations per person, or of inter-conversation times. Despite several
recent attempts, a general theoretical understanding of the global picture
emerging from data is still lacking. Here we present a simple model that
reproduces quantitatively most of the relevant features of empirical
face-to-face interaction networks. The model describes agents which perform a
random walk in a two dimensional space and are characterized by an
attractiveness whose effect is to slow down the motion of people around them.
The proposed framework sheds light on the dynamics of human interactions and
can improve the modeling of dynamical processes taking place on the ensuing
dynamical social networks.


title: A Scientific Biography of Cahit Arf (1910-1997)

abstract:
  In this paper we analyze both the scientific activities of Cahit Arf, a
Turkish mathematician, and the social context in which he worked. We also
discuss his work and social environment leading to the discovery of Arf
invariant, Arf rings, Arf closure and Hasse-Arf theorem.


title: Legendrian Products

abstract:
  This paper introduces two constructions of Legendrian submanifolds, called
the Legendrian product and spinning, and computes their classical invariants,
the Thurston-Bennequin invariant and the Maslov class, in R^{2n+1}. These
constructions take two Legendrians K,L and returns a product K x L, they
generalize other previous constructions in contact topology, such as
frontspinning and hypercube tori, and are equivalent in R^{2n+1}.
Interestingly, this construction relies upon the explicit embeddings of K,L and
not their Legendrian isotopy classes.


title: Higgs boson mass bounds in the presence of a heavy fourth quark family

abstract:
  We present Higgs boson mass bounds in a lattice regularization allowing thus
for non-perturbative investigations. In particular, we employ a lattice
modified chiral invariant Higgs-Yukawa model using the overlap operator. We
show results for the upper and lower Higgs boson mass bounds in the presence of
a heavy mass-degenerate quark doublet with masses ranging up to 700 GeV. We
perform infinite volume extrapolations in most cases, and examine several
values of the lattice cutoff. Furthermore, we argue that the lower Higgs boson
mass bound is stable with respect to the addition of higher dimensional
operators to the scalar field potential. Our results have severe consequences
for the phenomenology of a fourth generation of quarks if a light Higgs boson
is discovered at the LHC.


title: Particle current fluctuations in a particle-nonconserving process

abstract:
  We have considered a one-dimensional coagulation-decoagulation system of
classical particles on a finite lattice with reflecting boundaries. It is known
that the system undergoes a phase transition from a high-density to a
low-density phase. Using a matrix product approach we have obtained an exact
expression for the average entropy production rate of the system in the
thermodynamic limit. We have also performed a large deviation analysis for
fluctuations of entropy production rate and particle current. It turns out that
the characteristics of the kink in the large deviation function can be used to
spot the phase transition point. We have found that for very weak driving field
(when the system approaches to its equilibrium) and also for very strong
driving field (when the system is in the low-density phase) the large deviation
function for fluctuations of entropy production rate is almost parabolic while
in the high-density phase it prominently deviates from Gaussian behavior. The
validity of the Gallavotti-Cohen fluctuation relation for the large deviation
function for particle current is also verified.


title:
Convective line shifts for the Gaia RVS from the CIFIST 3D model
  atmosphere grid

abstract:
  To derive space velocities of stars along the line of sight from wavelength
shifts in stellar spectra requires accounting for a number of second-order
effects. For most stars, gravitational redshifts, convective blueshifts, and
transverse stellar motion are the dominant contributors. We provide theoretical
corrections for the net velocity shifts due to convection expected for the
measurements from the Gaia Radial Velocity Spectrometer (RVS). We used a set of
three-dimensional time-dependent simulations of stellar surface convection
computed with CO5BOLD to calculate spectra of late-type stars in the Gaia RVS
range and to infer the net velocity offset that convective motions will induce
in radial velocities derived by cross-correlation. The net velocity shifts
derived by cross-correlation depend both on the wavelength range and spectral
resolution of the observations. Convective shifts for Gaia RVS observations are
less than 0.1 km/s for late-K-type stars, and they increase with stellar mass,
reaching about 0.3 km/s or more for early F-type dwarfs. This tendency is the
result of an increase with effective temperature in both temperature and
velocity fluctuations in the line-forming region. Our simulations also indicate
that the net RVS convective shifts can be positive (i.e. redshifts) in some
cases. Overall, the blueshifts weaken slightly with increasing surface gravity,
and are enhanced at low metallicity. Gravitational redshifts amount up to 0.7
km/s and dominate convective blueshifts for dwarfs, but become much weaker for
giants.


title:
Probing the electrodynamic local density of states with magnetoelectric
  point scatterers

abstract:
  In a scattering experiment, the induced dipole moments of a magnetoelectric
point scatterer in response to driving fields are given by its polarizability
tensor \alpha. Its linewidth will be dictated by the local density of optical
states (LDOS) at the scatterer's position. To retrieve the magnetoelectric
cross coupling components of \alpha for an archetypical magnetoelectric
scatterer - a split ring resonator - we study the frequency dependent
extinction cross section as a function of distance to an interface. Rather than
following a purely electric or purely magnetic LDOS, we find a dependence which
reflects the interplay of both dipole moments in a 'mixed' magnetoelectric
LDOS. For a strongly magnetoelectric cross-coupled microwave scatterer, we
compare analytical point dipole with finite element method calculations.


title: Higher order mean curvature estimates for bounded complete hypersurfaces

abstract:
  We obtain sharp estimates involving the mean curvatures of higher order of a
complete bounded hypersurface immersed in a complete Riemannian manifold.
Similar results are also given for complete spacelike hypersurfaces in
Lorentzian ambient spaces.


title: Five-dimensional EVH heterotic black holes and its dual IR-CFT

abstract:
  We analyze the possible dynamical emergence of IR conformal field theory
describing the low-energy excitations of near-extremal black holes in
five-dimensional compactification of heterotic strings. We find that, by tuning
the mass and charges in such a way that the extremal black holes have a
classically vanishing horizon area, the near-horizon develops an AdS3 throat
and when we combine the low-energy limit with vanishing Newton coupling
constant, the system has a dual conformal field theory description. We compare
our results with c-extremization and the Kerr/CFT predictions.


title: Finite quotients of groups of I-type

abstract:
  To every group of $I$-type, we associate a finite quotient group that plays
the role that Coxeter groups play for Artin-Tits groups. Since groups of I-type
are examples of Garside groups, this answers a question of D. Bessis in the
particular case of groups of I-type. Groups of $I$-type are related to finite
set theoretical solutions of the Yang-Baxter equation.


title:
Training Sequence Design for MIMO Channels: An Application-Oriented
  Approach

abstract:
  In this paper, the problem of training optimization for estimating a
multiple-input multiple-output (MIMO) flat fading channel in the presence of
spatially and temporally correlated Gaussian noise is studied in an
application-oriented setup. So far, the problem of MIMO channel estimation has
mostly been treated within the context of minimizing the mean square error
(MSE) of the channel estimate subject to various constraints, such as an upper
bound on the available training energy. We introduce a more general framework
for the task of training sequence design in MIMO systems, which can treat not
only the minimization of channel estimator's MSE, but also the optimization of
a final performance metric of interest related to the use of the channel
estimate in the communication system. First, we show that the proposed
framework can be used to minimize the training energy budget subject to a
quality constraint on the MSE of the channel estimator. A deterministic version
of the "dual" problem is also provided. We then focus on four specific
applications, where the training sequence can be optimized with respect to the
classical channel estimation MSE, a weighted channel estimation MSE and the MSE
of the equalization error due to the use of an equalizer at the receiver or an
appropriate linear precoder at the transmitter. In this way, the intended use
of the channel estimate is explicitly accounted for. The superiority of the
proposed designs over existing methods is demonstrated via numerical
simulations.


title: Desingularization in Computational Applications and Experiments

abstract:
  After briefly recalling some computational aspects of blowing up and of
representation of resolution data common to a wide range of desingularization
algorithms (in the general case as well as in special cases like surfaces or
binomial varieties), we shall proceed to computational applications of
resolution of singularities in singularity theory and algebraic geometry, also
touching on relations to algebraic statistics and machine learning. Namely, we
explain how to compute the intersection form and dual graph of resolution for
surfaces, how to determine discrepancies, the log-canoncial threshold and the
topological Zeta-function on the basis of desingularization data. We shall also
briefly see how resolution data comes into play for Bernstein-Sato polynomials,
and we mention some settings in which desingularization algorithms can be used
for computational experiments. The latter is simply an invitation to the
readers to think themselves about experiments using existing software, whenever
it seems suitable for their own work.


title: Creation of Ghost Illusions Using Metamaterials in Wave Dynamics

abstract:
  The creation of wave-dynamic illusion functionality is of great interests to
various scientific communities, which can potentially transform an actual
perception into the pre-controlled perception, thus empowering unprecedented
applications in the advanced-material science, camouflage, cloaking, optical
and/or microwave cognition, and defense security, etc. By using the space
transformation theory and engineering capability of metamaterials, we propose
and realize a functional ghost illusion device, which is capable of creating
wave-dynamic virtual ghost images off the original object's position under the
illumination of electromagnetic waves. The scattering signature of the object
is thus ghosted and perceived as multiple ghost targets with different
geometries and compositions. The ghost-illusion material, being inhomogeneous
and anisotropic, was realized by thousands of varying unit cells working at
non-resonance. The experimental demonstration of the ghost illusion validates
our theory of scattering metamorphosis and opens a novel avenue to the
wave-dynamic illusion, cognitive deception, manipulate strange light or matter
behaviors, and design novel optical and microwave devices.


title:
Anomalous AV^*V vertex function in the soft-wall holographic model of
  QCD

abstract:
  I consider the three-point function of two vector and one axial-vector
currents. In the kinematic configuration in which one of the two vector
currents corresponds to an on-shell soft photon, such a vertex is described in
QCD by two functions, $w_L$ and $w_T$. After reviewing the properties of these
functions in QCD, I describe the result obtained using the soft-wall
holographic model of QCD with the addition of the Chern-Simons term and I
compare it with the QCD outcome. I also discuss a relation, proposed by Son and
Yamamoto, that connects $w_L$ and $w_T$ to the two-point functions $\Pi_{VV}$
and $\Pi_{AA}$.


title:
Diffraction-free nonevanescent nano-beams using the Fresnel-waveguide
  concept

abstract:
  Strong intensity attenuation limits the use of conventional diffraction-free
optical elements. We show a possible solution to the exponential intensity
attenuation limiting the use of Fresnel-type diffraction-free nanometer-scale
optics by using materials with appropriately chosen refractive index. Such
beams may be applied for technical and physical problems.


title:
Unified character of correlation effects in unconventional Pu-based
  superconductors and \delta-Pu

abstract:
  Electronic structure calculations combining the local-density approximation
with an exact diagonalization of the Anderson impurity model show an
intermediate 5f^5-5f^6-valence ground state and delocalization of the 5f^5
multiplet of the Pu atom 5f-shell in PuCoIn_5, PuCoGa_5, and \delta-Pu. The
5f-local magnetic moment is compensated by a moment formed in the surrounding
cloud of conduction electrons. For PuCoGa_5 and \delta-Pu the compensation is
complete and the Anderson impurity ground state is a singlet. For PuCoIn_5 the
compensation is partial and the Pu ground state is magnetic. We suggest that
the unconventional d-wave superconductivity is likely mediated by the 5f-states
antiferromagnetic fluctuations in PuCoIn_5, and by valence fluctuations in
PuCoGa_5.


title:
A new study of stellar substructures in the Fornax dwarf spheroidal
  galaxy

abstract:
  Using deep V, B-V wide-field photometry, we have conducted a new study of
stellar over-densities in the Fornax dwarf spheroidal galaxy by determining
detailed Star Formation Histories from Colour-Magnitude Diagram analysis. We
have concentrated on the relatively young stellar component (<4 Gyr old), and
compared this to the underlying Fornax field population. We have studied in
more detail the previously known inner shell-like structure and shown that it
has a well-defined age-metallicity relation with a peak at ~1.5 Gyr,
[Fe/H]=-0.6 dex. Comparison to the Fornax centre shows that the over-dense
feature is consistent with the age-metallicity relation of young field stars,
and likely formed from Fornax gas. This is consistent with a scenario in which
the over-density was formed by the re-accretion of previously expelled gas. We
have also discovered a new stellar over-density, located 0.3 degrees (0.7 kpc)
from the centre, which is only 100 Myr old, with solar metallicity. This
feature constitutes some of the youngest, most metal-rich stars stars observed
in Fornax to date. It is unclear how the young over-density was formed,
although the age and metallicity of stars suggest this feature may represent
the last star formation activity of the Fornax dSph.


title: Diffraction of surface wave on conducting rectangular wedge

abstract:
  Diffraction of a surface wave on a rectangular wedge with impedance faces is
studied using the Sommerfeld-Malyuzhinets technique. An analog of Landau's
bypass rule in the theory of plasma waves is introduced for selection of a
correct branch of the Sommerfeld integral, and the exact solution is given in
terms of imaginary error function. The formula derived is valid both in the
near-field and far-wave zones. It is shown that a diffracted surface wave is
completely scattered into freely propagating electromagnetic waves and neither
reflected nor transmitted surface waves are generated in case of bare metals
which have positive real part of surface impedance. The scattered waves
propagate predominantly at a grazing angle along the direction of propagation
of the incident surface wave and mainly in the upper hemisphere regarding the
wedge face. The profile of radiated intensity is nonmonotonic and does not
resemble the surface wave profile which exponentially evanesces with the
distance from the wedge face.
  Comparison with experiments carried out in the terahertz spectral range at
Novosibirsk free electron laser has shown a good agreement of the theory and
the experiments.


title: Discrete orbits and special subgroups of $\Diff$

abstract:
  The local topological dynamics of subgroups of ${\rm Diff} ({\mathbb C^n},
0)$, with special emphasis on ${\rm Diff} ({\mathbb C^2}, 0)$, is discussed
with a view towards integrability questions. It is proved in particular that a
subgroup of ${\rm Diff} ({\mathbb C^2}, 0)$ possessing locally finite orbits is
necessarily solvable. Other results and examples related to higher-dimensional
generalizations of Mattei-Moussu's celebrated topological characterization of
integrability are also provided. These examples also settle a fundamental
question raised by the previous work of Camara-Scardua.