title: A Method for Neuronal Source Identification

abstract:
  Multi-sensor microelectrodes for extracellular action potential recording
have significantly improved the quality of in vivo recorded neuronal signals.
These microelectrodes have also been instrumental in the localization of
neuronal signal sources. However, existing neuron localization methods have
been mostly utilized in vivo, where the true neuron location remains unknown.
Therefore, these methods could not be experimentally validated. This article
presents experimental validation of a method capable of estimating both the
location and intensity of an electrical signal source. A four-sensor
microelectrode (tetrode) immersed in a saline solution was used to record
stimulus patterns at multiple intensity levels generated by a stimulating
electrode. The location of the tetrode was varied with respect to the
stimulator. The location and intensity of the stimulator were estimated using
the Multiple Signal Classification (MUSIC) algorithm, and the results were
quantified by comparison to the true values. The localization results, with an
accuracy and precision of ~ 10 microns, and ~ 11 microns respectively, imply
that MUSIC can resolve individual neuronal sources. Similarly, source intensity
estimations indicate that this approach can track changes in signal amplitude
over time. Together, these results suggest that MUSIC can be used to
characterize neuronal signal sources in vivo.


title: Non-Equilibrium Populations of Hydrogen in High-Redshift Galaxies

abstract:
  We investigate the possibility of maser amplification in hydrogen
recombination lines from the galaxies of first generation, at z<~30. Combining
analytical and computational approaches, we show that the transitions between
the hydrogen Rydberg energy levels induced by the radiation from the ionizing
star and by the (warmer than currently) Cosmic Microwave Background can produce
noticeable differences in the population distribution, as compared with
previous computations for the contemporary H+ regions, most of which ignored
the processes induced by the star radiation. In particular, the low (n<~30)
alpha-transitions show an increased tendency toward population inversion, when
ionization of the H+ region is caused by a very hot star at high redshift. The
resulting maser/laser amplification can increase the brightness of the emitted
lines and make them detectable. However, the limiting effects of maser
saturation will probably not allow maser gains to exceed one or two orders of
magnitude.


title: A review of pulsating stars from the ASAS data

abstract:
  The All-Sky Automated Survey (ASAS) appeared to be extremely useful in
establishing the census of bright variable stars in the sky. A short review of
the characteristics of the ASAS data and discoveries based on these data and
related to pulsating stars is presented here by an enthusiastic user of the
ASAS data.


title: Inverse semigroups with rational word problem are finite

abstract:
  This note proves a generalisation to inverse semigroups of Anisimov's theorem
that a group has regular word problem if and only if it is finite, answering a
question of Stuart Margolis. The notion of word problem used is the two-tape
word problem -- the set of all pairs of words over a generating set for the
semigroup which both represent the same element.


title:
IRAS 18357-0604 - an analogue of the galactic yellow hypergiant IRC
  +10420?

abstract:
  Yellow hypergiants represent a short-lived evolutionary episode experienced
by massive stars as they transit to and from a red supergiant phase. As such,
their properties provide a critical test of stellar evolutionary theory. The
galactic yellow hypergiant IRC +10420 is a cornerstone system for understanding
this phase, since it is the strongest post-RSG candidate known, has
demonstrated real-time evolution across the Hertzsprung-Russell diagram and
been subject to extensive mass loss. Here we report on the discovery of a twin
of IRC +10420 - IRAS 18357-0604. Optical and near-IR spectroscopy are used to
investigate the physical properties of IRAS 18357-0604, while IR photometry
probes the nature of its circumstellar environment. Pronounced spectral
similarities between IRAS 18357-0604 and IRC +10420 suggest comparable
temperatures and wind geometries, while photometric data reveals a similarly
dusty circumstellar environment, although historical mass loss appears to have
been heavier in IRC +10420. The systemic velocity implies a distance compatible
with the red supergiant dominated complex at the base of the Scutum Crux arm;
the resultant luminosity determination is consistent with a physical
association but suggests a lower initial mass than inferred for IRC +10420
(<20Msun versus ~40Msun). Evolutionary predictions for the physical properties
of supernova progenitors derived from ~18-20Msun stars - or ~12-15Msun stars
that have experienced enhanced mass loss as red supergiants - compare
favourably with those of IRAS 18357-0604, which in turn appears to be similar
to the the progenitor of SN2011dh; it may therefore provide an important
insight into the nature of the apparently H-depleted yellow hypergiant
progenitors of some type IIb SNe.


title:
Constraints on Skyrme Equations of State from Properties of Doubly Magic
  Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter

abstract:
  We use properties of doubly-magic nuclei and ab-initio calculations of
low-density neutron matter to constrain Skyrme equations of state for
neutron-rich conditions. All of these properties are consistent with a Skyrme
functional form and a neutron-matter equation of state that depends on three
parameters. With a reasonable range for the neutron-matter effective mass, the
values of the two other Skyrme parameters are well constrained. This leads to
predictions for other quantities. The neutron skins for $^{208}$Pb and
$^{48}$Ca are predicted to be 0.182(10) fm and 0.173(5) fm, respectively. Other
results including the dipole polarizability are discussed.


title:
Lattice Laughlin States of Bosons and Fermions at Filling Fractions
  $1/q$

abstract:
  We introduce a two-parameter family of strongly-correlated wave functions for
bosons and fermions in lattices. One parameter, $q$, is connected to the
filling fraction. The other one, $\eta$, allows us to interpolate between the
lattice limit ($\eta=1$) and the continuum limit ($\eta\to 0^+$) of families of
states appearing in the context of the fractional quantum Hall effect or the
Calogero-Sutherland model. We give evidence that the main physical properties
along the interpolation remain the same. Finally, in the lattice limit, we
derive parent Hamiltonians for those wave functions and in 1D, we determine
part of the low energy spectrum.


title: Clustering Markov Decision Processes For Continual Transfer

abstract:
  We present algorithms to effectively represent a set of Markov decision
processes (MDPs), whose optimal policies have already been learned, by a
smaller source subset for lifelong, policy-reuse-based transfer learning in
reinforcement learning. This is necessary when the number of previous tasks is
large and the cost of measuring similarity counteracts the benefit of transfer.
The source subset forms an `$\epsilon$-net' over the original set of MDPs, in
the sense that for each previous MDP $M_p$, there is a source $M^s$ whose
optimal policy has $<\epsilon$ regret in $M_p$. Our contributions are as
follows. We present EXP-3-Transfer, a principled policy-reuse algorithm that
optimally reuses a given source policy set when learning for a new MDP. We
present a framework to cluster the previous MDPs to extract a source subset.
The framework consists of (i) a distance $d_V$ over MDPs to measure
policy-based similarity between MDPs; (ii) a cost function $g(\cdot)$ that uses
$d_V$ to measure how good a particular clustering is for generating useful
source tasks for EXP-3-Transfer and (iii) a provably convergent algorithm,
MHAV, for finding the optimal clustering. We validate our algorithms through
experiments in a surveillance domain.


title:
Investigating Multiple Solutions in the Constrained Minimal
  Supersymmetric Standard Model

abstract:
  Recent work has shown that the Constrained Minimal Supersymmetric Standard
Model (CMSSM) can possess several distinct solutions for certain values of its
parameters. The extra solutions were not previously found by public
supersymmetric spectrum generators because fixed point iteration (the algorithm
used by the generators) is unstable in the neighbourhood of these solutions.
The existence of the additional solutions calls into question the robustness of
exclusion limits derived from collider experiments and cosmological
observations upon the CMSSM, because limits were only placed on one of the
solutions. Here, we map the CMSSM by exploring its multi-dimensional parameter
space using the shooting method, which is not subject to the stability issues
which can plague fixed point iteration. We are able to find multiple solutions
where in all previous literature only one was found. The multiple solutions are
of two distinct classes. One class, close to the border of bad electroweak
symmetry breaking, is disfavoured by LEP2 searches for neutralinos and
charginos. The other class has sparticles that are heavy enough to evade the
LEP2 bounds. Chargino masses may differ by up to around 10% between the
different solutions, whereas other sparticle masses differ at the sub-percent
level. The prediction for the dark matter relic density can vary by a hundred
percent or more between the different solutions, so analyses employing the dark
matter constraint are incomplete without their inclusion.


title: HEVAL: Yet Another Human Evaluation Metric

abstract:
  Machine translation evaluation is a very important activity in machine
translation development. Automatic evaluation metrics proposed in literature
are inadequate as they require one or more human reference translations to
compare them with output produced by machine translation. This does not always
give accurate results as a text can have several different translations. Human
evaluation metrics, on the other hand, lacks inter-annotator agreement and
repeatability. In this paper we have proposed a new human evaluation metric
which addresses these issues. Moreover this metric also provides solid grounds
for making sound assumptions on the quality of the text produced by a machine
translation.


title: Modular classes revisited

abstract:
  We present a graded-geometric approach to modular classes of Lie algebroids
and their generalizations, introducing in this setting an idea of relative
modular class of a Dirac structure for a certain type of Courant algebroids,
called projectable. This novel approach puts several concepts related to
Poisson geometry and its generalizations in a new light and simplifies proofs.
It gives, in particular, a nice geometric interpretation of modular classes of
twisted-Poisson structures on Lie algebroids.


title:
An Allard type regularity theorem for varifolds with H\"older continuous
  generalized normal

abstract:
  We prove that Allard's regularity theorem holds for rectifiable
$n$-dimensional varifolds $V$ assuming a weaker condition on the first
variation. This, in the special case when $V$ is a smooth manifold translates
to the following: If $\omega_n^{-1}\rho^{-n}{\rm area}(V\cap B_\rho(x))$ is
sufficiently close to $1$ and the unit normal of $V$ satisfies a $C^{0,\alpha}$
estimate, then $V\cap B_{\rho/2}(x)$ is the graph of a $C^{1,\alpha}$ function
with estimates. Furthermore, a similar boundary regularity theorem is true.


title: A search for inverse magnetic catalysis in thermal quark-meson models

abstract:
  We explore the parameter space of the two-flavor thermal quark-meson model
and its Polyakov loop-extended version under the influence of a constant
external magnetic field $B$. We investigate the behavior of the pseudo critical
temperature for chiral symmetry breaking taking into account the likely
dependence of two parameters on the magnetic field: the Yukawa quark-meson
coupling and the parameter $T_0$ of the Polyakov loop potential. Under the
constraints that magnetic catalysis is realized at zero temperature and the
chiral transition at $B=0$ is a crossover, we find that the quark-meson model
leads to thermal magnetic catalysis for the whole allowed parameter space, in
contrast to the present picture stemming from lattice QCD.


title: Charge Fluctuations as Thermometer for Heavy-Ion Collisions

abstract:
  We present a determination of freeze-out conditions in heavy-ion collisions
based on ratios of cu- mulants of net electric charge fluctuations obtained
from lattice QCD. These ratios can reliably be calculated for a wide range of
chemical potential values by using a next-to-leading order Taylor series
expansion around the limit of vanishing baryon, electric charge and strangeness
chemical potentials. We first determine the strangeness and electric charge
chemical potentials that characterize the conditions in heavy ion collisions at
RHIC and LHC. We then show that a comparison of lattice QCD results for ratios
of up to third order cumulants of electric charge fluctuations with
experimental results allows us to extract the freeze-out baryon chemical
potential and the freeze-out temperature. We apply our method to preliminary
data of the STAR and PHENIX collaborations.


title: AdS/CFT and applications

abstract:
  In this talk I review some selected applications of the AdS/CFT
correspondence to the study of nonequillibrium dynamics of strongly coupled
plasma. I briefly describe the AdS/CFT methods and five recent studies dealing
with various features of plasma evolution, in particular the transition to
hydrodynamics, thermalization, very high order hydrodynamics, the dynamics of
shock wave collisions and preequilibrium radial flow.


title: Adiabatic Quantum Simulation of Quantum Chemistry

abstract:
  We show how to apply the quantum adiabatic algorithm directly to the quantum
computation of molecular properties. We describe a procedure to map electronic
structure Hamiltonians to 2-local qubit Hamiltonians with a small set of
physically realizable couplings. By combining the Bravyi-Kitaev construction to
map fermions to qubits with perturbative gadgets to reduce the Hamiltonian to
2-local, we obtain precision requirements on the coupling strengths and a
number of ancilla qubits that scale polynomially in the problem size. Hence our
mapping is efficient. The required set of controllable interactions includes
only two types of interaction beyond the Ising interactions required to apply
the quantum adiabatic algorithm to combinatorial optimization problems. Our
mapping may also be of interest to chemists directly as it defines a dictionary
from electronic structure to spin Hamiltonians with physical interactions.


title: Tunable zero-energy transmission resonances in shifted graphene bilayer

abstract:
  A graphene bilayer is known to perfectly reflect normally incident electrons
due to their chirality. This is similar to Klein tunneling, which, in a
monolayer, is instead responsible for perfect transmission at normal incidence.
Stacking defaults turn each parabolic band crossing of a bilayer into pairs of
Dirac cones. Here we show that, surprisingly, a stacking default (or shift) in
a bilayer can result in perfect {\it transmission} at normal incidence as a
result of Fabry-P\'erot type resonances {\it at zero-energy}. These
constructive interferences only happen for a specific orientation of the Dirac
cones with respect to the incident electron and for quantized values of their
separation in reciprocal space. Our results provide a way to control
transmission resonances in undoped graphene bilayer structure by adjusting the
layer stacking.


title:
Restricted likelihood representation and decision-theoretic aspects of
  meta-analysis

abstract:
  In the random-effects model of meta-analysis a canonical representation of
the restricted likelihood function is obtained. This representation relates the
mean effect and the heterogeneity variance estimation problems. An explicit
form of the variance of weighted means statistics determined by means of a
quadratic form is found. The behavior of the mean squared error for large
heterogeneity variance is elucidated. It is noted that the sample mean is not
admissible nor minimax under a natural risk function for the number of studies
exceeding three.


title:
Off-resonance energy absorption in a linear Paul trap due to mass
  selective resonant quenching

abstract:
  Linear Paul r.f. ion traps (LPT) are used in many experimental studies such
as mass spectrometry, atom-ion collisions and ion-molecule reactions. Mass
selective resonant quenching (MSRQ) is implemented in LPT either to identify a
charged particle's mass or to remove unwanted ions from a controlled
experimental environment. In the latter case, MSRQ can introduce undesired
heating to co-trapped ions of different mass, whose secular motion is off
resonance with the quenching ac field, which we call off-resonance energy
absorption (OREA). We present simulations and experimental evidence that show
that the OREA increases exponentially with the number of ions loaded into the
trap and with the amplitude of the off-resonance external ac field.


title:
Restricted Partition Functions and Inverse Energy Cascades in Parity
  Symmetry Breaking flows

abstract:
  When the symmetries of homogenous isotropic turbulent flows are broken,
different sets of modes with different physical roles emerge. In particular,
choosing a forcing which puts more weight on one or the other of these sets may
result in different statistics for the energy transfers. We use the general
method of computing a partition function restricted to a portion of phase space
to study analytically these different statistics. We illustrate this method in
the case of parity symmetry breaking, measured by helicity. It is shown that
when helicity is sign definite at all scales, an inverse cascade is expected
for the energy. When sign-definiteness is lost, even for a small set of modes,
this cascade disappears and there is a sharp phase transition to the standard
helical equipartition spectra.


title:
Perturbative Reheating After Multiple-Field Inflation: The Impact on
  Primordial Observables

abstract:
  We study the impact of perturbative reheating on primordial observables in
models of multiple-field inflation. By performing a sudden decay calculation,
we derive analytic expressions for the local-type non-linearity parameter
$f_{\rm NL}^{\rm local}$, the scalar spectral index $n_\zeta$, and the
tensor-to-scalar ratio $r_T$ as functions of the decay rates of the
inflationary fields. We compare our analytic results to a fully numerical
classical field theory simulation, finding excellent agreement. We find that
the sensitivity of $f_{\rm NL}$, $n_\zeta$, and $r_T$ to the reheating phase
depends heavily on the underlying inflationary model. We quantify this
sensitivity, and discuss conditions that must be satisfied if observable
predictions are to be insensitive to the dynamics of reheating. We demonstrate
that upon completion of reheating, all observable quantities take values within
finite ranges, the limits of which are determined completely by the conditions
during inflation. Furthermore, fluctuations in both fields play an important
role in determining the full dependence of the observables on the dynamics of
reheating. By applying our formalism to two concrete examples, we demonstrate
that variations in $f_{\rm NL}$, $n_\zeta$, and $r_T$ caused by changes in
reheating dynamics are well within the sensitivity of Planck, and as such the
impact of reheating must be accounted for when making predictions for models of
multiple-field inflation. Our final expressions are very general, encompassing
a wide range of two-field inflationary models, including the standard curvaton
scenario. Our results allow a much more unified approach to studying two-field
inflation including the effects of perturbative reheating. As such, entire
classes of models can be studied together, allowing a more systematic approach
to gaining insight into the physics of the early universe through observation.


title:
Phase structure of topological insulators by lattice strong-coupling
  expansion

abstract:
  The effect of the strong electron correlation on the topological phase
structure of 2-dimensional (2D) and 3D topological insulators is investigated,
in terms of lattice gauge theory. The effective model for noninteracting system
is constructed similarly to the lattice fermions with the Wilson term,
corresponding to the spin-orbit coupling. Introducing the electron-electron
interaction as the coupling to the gauge field, we analyze the behavior of
emergent orders by the strong coupling expansion methods. We show that there
appears a new phase with the in-plane antiferromagnetic order in the 2D
topological insulator, which is similar to the so-called "Aoki phase" in
lattice QCD with Wilson fermions. In the 3D case, on the other hand, there does
not appear such a new phase, and the electron correlation results in the shift
of the phase boundary between the topological phase and the normal phase.

categories: cond-mat.str-el cond-mat.mes-hall hep-lat hep-th


title:
Gravity/Fluid Correspondence and Its Application on Bulk Gravity with
  $U(1)$ Gauge Field

abstract:
  As the long wavelength limit of the AdS/CFT correspondence, the gravity/fluid
correspondence has been shown to be a useful tool for extracting properties of
the fluid on the boundary dual to the gravity in the bulk. In this paper, after
briefly reviewing the algorithm of gravity/fluid correspondence, we discuss the
results of its application on bulk gravity with a $U(1)$ gauge field. In the
presence of a $U(1)$ gauge field, the dual fluid possesses more interesting
properties such as its charge current. Furthermore, an external field
$A_\mu^{ext}$ could affect the charge current, and the $U(1)$ Chern-Simons term
also reinduces extra structures to the dual current giving anomalous transport
coefficients.


title:
Valence bond distribution and correlation in bipartite Heisenberg
  antiferromagnets

abstract:
  Every singlet state of a quantum spin 1/2 system can be decomposed into a
linear combination of valence bond basis states. The range of valence bonds
within this linear combination as well as the correlations between them can
reveal the nature of the singlet state, and are key ingredients in variational
calculations. In this work, we study the bipartite valence bond distributions
and their correlations within the ground state of the Heisenberg
antiferromagnet on bipartite lattices. In terms of field theory, this problem
can be mapped to correlation functions near a boundary. In dimension d >= 2, a
non-linear sigma model analysis reveals that at long distances the probability
distribution P(r) of valence bond lengths decays as |r|^(-d-1) and that valence
bonds are uncorrelated. By a bosonization analysis, we also obtain P(r)
proportional to |r|^(-d-1) in d=1 despite the different mechanism. On the other
hand, we find that correlations between valence bonds are important even at
large distances in d=1, in stark contrast to d >= 2. The analytical results are
confirmed by high-precision quantum Monte Carlo simulations in d=1, 2, and 3.
We develop a single-projection loop variant of the valence bond projection
algorithm, which is well-designed to compute valence bond probabilities and for
which we provide algorithmic details.


title:
Stochastic angular momentum slews and flips and their effect on discs in
  galaxy formation models

abstract:
  The angular momentum of galactic discs in semi-analytic models of galaxy
formation is usually updated in time as material is accreted to the disc by
adopting a constant dimensionless spin parameter and little attention is paid
to the effects of accretion with misaligned angular momenta. These effects are
the subject of this paper, where we adopt a Monte-Carlo simulation for the
changes in the direction of the angular momentum of a galaxy disc as it
accretes matter based on accurate measurements from dark-matter haloes in the
Millennium II simulation. In our semi-analytic model implementation, the flips
seen the dark matter haloes are assumed to be the same for the cold baryons;
however, we also assume that in the latter the flip also entails a difficulty
for the disc to increase its angular momentum which causes the disc to become
smaller relative to a no-flip case. This makes star formation to occur faster,
specially in low mass galaxies at all redshifts allowing galaxies to reach
higher stellar masses faster. We adopt a new condition for the triggering of
starbursts during mergers. As these produce the largest flips it is natural to
adopt the disc instability criterion to evaluate the triggering of bursts in
mergers instead of one based on mass ratios as in the original model. The new
implementation reduces the average lifetimes of discs by a factor of 2, while
still allowing old ages for the present-day discs of large spiral galaxies. It
also provides a faster decline of star formation in massive galaxies and a
better fit to the bright end of the luminosity function at z = 0.


title:
Towards a model-independent approach to the analysis of interference
  effects in pair production of new heavy quarks

abstract:
  We propose a model independent approach for the analysis of interference
effects in the process of QCD pair production of new heavy quarks of different
species that decay into Standard Model particles, including decays via flavour
changing neutral currents. By adopting as ansatz a simple analytical formula we
show that one can accurately describe the interference between two different
such particles pairs leading to the same final state using information about
masses, total widths and couplings. A study of the effects on differential
distributions is also performed showing that, when interference plays a
relevant role, the distributions of the full process can be obtained by a
simple rescaling of the distributions of either quark contributing to the
interference term. We also present the range of validity of the analytical
expression that we have found.


title: Emergence of Molecular Chirality by Vibrational Raman Scattering

abstract:
  In this study, we apply the monitoring master equation describing decoherence
of internal states to an optically active molecule prepared in a coherent
superposition of nondegenerate internal states interacting with thermal photons
at low temperatures. We use vibrational Raman scattering theory up to the first
chiral-sensitive contribution, i.e., the mixed electric-magnetic interaction,
to obtain scattering amplitudes in terms of molecular polarizability tensors.
The resulting density matrix is used to obtain elastic decoherence rates.


title:
Precision improvement of MEMS gyros for indoor mobile robots with
  horizontal motion inspired by methods of TRIZ

abstract:
  In the paper, the problem of precision improvement for the MEMS gyrosensors
on indoor robots with horizontal motion is solved by methods of TRIZ ("the
theory of inventive problem solving").


title: The big Dehn surgery graph and the link of S^3

abstract:
  In a talk at the Cornell Topology Festival in 2005, W. Thurston discussed a
graph which we call "The Big Dehn Surgery Graph", B. Here we explore this
graph, particularly the link of S^3, and prove facts about the geometry and
topology of B. We also investigate some interesting subgraphs and pose what we
believe are important questions about B.


title:
Robust Bayesian FDR Control using Bayes Factors, with Applications to
  Multi-tissue eQTL Discovery

abstract:
  Motivated by the genomic application of expression quantitative trait loci
(eQTL) mapping, we propose a new procedure to perform simultaneous testing of
multiple hypotheses using Bayes factors as input test statistics. One of the
most significant features of this method is its robustness in controlling the
targeted false discovery rate (FDR) even under misspecifications of parametric
alternative models. Moreover, the proposed procedure is highly computationally
efficient, which is ideal for treating both complex system and big data in
genomic applications. We discuss the theoretical properties of the new
procedure and demonstrate its power and computational efficiency in
applications of single-tissue and multi-tissue eQTL mapping.


title: Inferring Multilateral Relations from Dynamic Pairwise Interactions

abstract:
  Correlations between anomalous activity patterns can yield pertinent
information about complex social processes: a significant deviation from normal
behavior, exhibited simultaneously by multiple pairs of actors, provides
evidence for some underlying relationship involving those pairs---i.e., a
multilateral relation. We introduce a new nonparametric Bayesian latent
variable model that explicitly captures correlations between anomalous
interaction counts and uses these shared deviations from normal activity
patterns to identify and characterize multilateral relations. We showcase our
model's capabilities using the newly curated Global Database of Events,
Location, and Tone, a dataset that has seen considerable interest in the social
sciences and the popular press, but which has is largely unexplored by the
machine learning community. We provide a detailed analysis of the latent
structure inferred by our model and show that the multilateral relations
correspond to major international events and long-term international
relationships. These findings lead us to recommend our model for any
data-driven analysis of interaction networks where dynamic interactions over
the edges provide evidence for latent social structure.


title:
Disk-outflow models as applied to high mass star forming regions through
  methanol and water maser observations

abstract:
  As the recent publication by Breen et al (2013) found Class II methanol
masers are exclusively associated with high mass star forming regions. Based on
the positions of the Class I and II methanol and H$_{2}$O masers, UC H II
regions and 4.5 $\mu$m infrared sources, and the center velocities
($v_{\text{LSR}}$) of the Class I methanol and H$_{2}$O masers, compared to the
$v_{\text{LSR}}$ of the Class II methanol masers, we propose three disk-outflow
models that may be traced by methanol masers. In all three models, we have
located the Class II methanol maser near the protostar, and the Class I
methanol maser in the outflow, as is known from observations during the last
twenty years. In our first model, the H$_{2}$O masers trace the linear extent
of the outflow. In our second model, the H$_{2}$O masers are located in a
circumstellar disk. In our third model, the H$_{2}$O masers are located in one
or more outflows near the terminating shock where the outflow impacts the
ambient interstellar medium. Together, these models reiterate the utility of
coordinated high angular resolution observations of high mass star forming
regions in maser lines and associated star formation tracers.


title: Improving the performance of algorithms to find communities in networks

abstract:
  Many algorithms to detect communities in networks typically work without any
information on the cluster structure to be found, as one has no a priori
knowledge of it, in general. Not surprisingly, knowing some features of the
unknown partition could help its identification, yielding an improvement of the
performance of the method. Here we show that, if the number of clusters were
known beforehand, standard methods, like modularity optimization, would
considerably gain in accuracy, mitigating the severe resolution bias that
undermines the reliability of the results of the original unconstrained
version. The number of clusters can be inferred from the spectra of the
recently introduced non-backtracking and flow matrices, even in benchmark
graphs with realistic community structure. The limit of such two-step procedure
is the overhead of the computation of the spectra.


title:
Subsonic-sonic Limit of Approximate Solutions to Multidimensional Steady
  Euler Equations

abstract:
  A compactness framework is established for approximate solutions to
subsonic-sonic flows governed by the steady full Euler equations for
compressible fluids in arbitrary dimension. The existing compactness frameworks
for the two-dimensional irrotational case do not directly apply for the steady
full Euler equations in higher dimensions. The new compactness framework we
develop applies for both non-homentropic and rotational flows. One of our main
observations is that the compactness can be achieved by using only natural weak
estimates for the mass balance and the vorticity, along with the Bernoulli law
and the entropy relation, through a more delicate analysis on the phase space.
As direct applications, we establish two existence theorems for
multidimensional subsonic-sonic full Euler flows through infinitely long
nozzles.


title:
The structure of warm dense matter modeled with an average atom model
  with ion-ion correlations

abstract:
  We present a new model of warm dense matter that represents an intermediate
approach between the relative simplicity of ''one-ion'' average atom models and
the more realistic but computationally expensive ab initio simulation methods.
Physical realism is achieved primarily by including the correlations in the
plasma that surrounds a central ion. The plasma is described with the
Ornstein-Zernike integral equations theory of fluids, which is coupled to an
average atom model for the central ion. In this contribution we emphasize the
key elements and approximations and how they relate to and expand upon a
typical average atom model. Besides being relatively inexpensive
computationally, this approach offers several advantages over ab initio
simulations but also has a number of limitations. The model is validated by
comparisons with numerical solutions for the pair distribution function of the
ions from ab initio simulations for several elements and a wide range of plasma
conditions. Simulations results are reproduced remarkably well and simpler
limiting theories are recovered as well. This model has many potential
applications to calculation of the properties of warm dense matter such as the
equation of state and conductivities for a wide range of temperatures and
densities.


title:
Big Data and Cross-Document Coreference Resolution: Current State and
  Future Opportunities

abstract:
  Information Extraction (IE) is the task of automatically extracting
structured information from unstructured/semi-structured machine-readable
documents. Among various IE tasks, extracting actionable intelligence from
ever-increasing amount of data depends critically upon Cross-Document
Coreference Resolution (CDCR) - the task of identifying entity mentions across
multiple documents that refer to the same underlying entity. Recently, document
datasets of the order of peta-/tera-bytes has raised many challenges for
performing effective CDCR such as scaling to large numbers of mentions and
limited representational power. The problem of analysing such datasets is
called "big data". The aim of this paper is to provide readers with an
understanding of the central concepts, subtasks, and the current
state-of-the-art in CDCR process. We provide assessment of existing
tools/techniques for CDCR subtasks and highlight big data challenges in each of
them to help readers identify important and outstanding issues for further
investigation. Finally, we provide concluding remarks and discuss possible
directions for future work.


title:
Numerical evaluation of relative permeability using
  Johnson--Koplik--Dashen model

abstract:
  We present a numerical study aimed at comparing two approaches to the
evaluation of relative permeability curves from 3D binary images of porous
media. One approach hinges on the numerical solution of Stokes equations, while
the other is based on the Johnson-Koplik-Dashen (JKD) universal scaling theory
of viscous frequency-dependent flow [D.~L. Johnson, J.~Koplik, and R.~Dashen,
\emph{Theory of dynamic permeability and tortuosity in fluid--saturated porous
media}, Journal of Fluid Mechanics \textbf{176} (1987), 379--402.] and the
method of maximal inscribed spheres.
  JKD steady-flow simulations only require the solution of a boundary-value
problem for the Laplace equation, which is computationally less intensive than
the solution of Stokes equations.
  A series of numerical calculations performed on 3D pore-space images of
natural rock demonstrate that JKD-based estimates are in good agreement with
the corresponding Stokes-flow numerical simulations.


title: Strong Logarithmic Sobolev Inequalities for Log-Subharmonic Functions

abstract:
  We prove an intrinsic equivalence between strong hypercontractivity and a
strong logarithmic Sobolev inequality for the cone of logarithmically
subharmonic functions. We introduce a new large class of measures, Euclidean
regular and exponential type, in addition to all compactly-supported measures,
for which this equivalence holds. We prove a Sobolev density theorem through
log-subharmonic functions, and use it to prove the equivalence of strong
hypercontractivity and the strong log Sobolev inequality for such
log-subharmonic functions.


title:
CoRoT 223992193: A new, low-mass, pre-main sequence eclipsing binary
  with evidence of a circumbinary disk

abstract:
  We present the discovery of CoRoT 223992193, a double-lined, detached
eclipsing binary, comprising two pre-main sequence M dwarfs, discovered by the
CoRoT space mission during a 23-day observation of the 3 Myr old NGC 2264
star-forming region. Using multi-epoch optical and near-IR follow-up
spectroscopy with FLAMES on the Very Large Telescope and ISIS on the William
Herschel Telescope we obtain a full orbital solution and derive the fundamental
parameters of both stars by modelling the light curve and radial velocity data.
The orbit is circular and has a period of $3.8745745 \pm 0.0000014$ days. The
masses and radii of the two stars are $0.67 \pm 0.01$ and $0.495 \pm 0.007$
$M_{\odot}$ and $1.30 \pm 0.04$ and $1.11 ~^{+0.04}_{-0.05}$ $R_{\odot}$,
respectively. This system is a useful test of evolutionary models of young
low-mass stars, as it lies in a region of parameter space where observational
constraints are scarce; comparison with these models indicates an apparent age
of $\sim$3.5-6 Myr. The systemic velocity is within $1\sigma$ of the cluster
value which, along with the presence of lithium absorption, strongly indicates
cluster membership. The CoRoT light curve also contains large-amplitude,
rapidly evolving out-of-eclipse variations, which are difficult to explain
using starspots alone. The system's spectral energy distribution reveals a
mid-infrared excess, which we model as thermal emission from a small amount of
dust located in the inner cavity of a circumbinary disk. In turn, this opens up
the possibility that some of the out-of-eclipse variability could be due to
occultations of the central stars by material located at the inner edge or in
the central cavity of the circumbinary disk.


title:
Analyzing Capture Zone Distributions (CZD) in Growth: Theory and
  Applications

abstract:
  We have argued that the capture-zone distribution (CZD) in submonolayer
growth can be well described by the generalized Wigner distribution (GWD)
$P(s)=a s^\beta \exp(-b s^2)$, where $s$ is the CZ area divided by its average
value. This approach offers arguably the best method to find the critical
nucleus size $i$, since $\beta \approx i + 2$. Various analytical and numerical
investigations, which we discuss, show that the simple GWD expression is
inadequate in the tails of the distribution, it does account well for the
central regime $0.5 < s < 2$, where the data is sufficiently large to be
reliably accessible experimentally. We summarize and catalog the many
experiments in which this method has been applied.


title:
Minimal polynomials of simple highest weight modules over classical Lie
  algebras

abstract:
  We completely determine the minimal polynomial of an arbitrary simple highest
weight module $L(\lambda)$ over a complex classical Lie algebra
$\mathfrak{g}\subseteq\mathfrak{gl}_N$ relative to its defining module
$\pi=\mathbb{C}^{N}$. These results are applied to ordering on primitive ideals
and algebraic properties of Howe duality correspondence.


title:
Shock Excited Molecules in NGC 1266: ULIRG conditions at the center of a
  Bulge Dominated Galaxy

abstract:
  We investigate the far infrared spectrum of NGC 1266, a S0 galaxy that
contains a massive reservoir of highly excited molecular gas. Using the
SPIRE-FTS, we detect the $^{12}$CO ladder up to J=(13-12), [C I] and [N II]
lines, and also strong water lines more characteristic of UltraLuminous IR
Galaxies (ULIRGs). The 12CO line emission is modeled with a combination of a
low-velocity C-shock and a PDR. Shocks are required to produce the H2O and most
of the high-J 12CO emission. Despite having an infrared luminosity thirty times
less than a typical ULIRG, the spectral characteristics and physical conditions
of the ISM of NGC 1266 closely resemble those of ULIRGs, which often harbor
strong shocks and large-scale outflows.


title: An Icosahedral Quasicrystal as a Packing of Regular Tetrahedra

abstract:
  We present the construction of a dense, quasicrystalline packing of regular
tetrahedra with icosahedral symmetry. This quasicrystalline packing was
achieved through two independent approaches. The first approach originates in
the Elser-Sloane 4D quasicrystal. A 3D slice of the quasicrystal contains a few
types of prototiles. An initial structure is obtained by decorating these
prototiles with tetrahedra. This initial structure is then modified using the
Elser-Sloane quasicrystal itself as a guide. The second approach proceeds by
decorating the prolate and oblate rhombohedra in a 3-dimensional Ammann tiling.
The resulting quasicrystal has a packing density of 59.783%. We also show a
variant of the quasicrystal that has just 10 "plane classes" (compared with the
190 of the original), defined as the total number of distinct orientations of
the planes in which the faces of the tetrahedra are contained. This small
number of plane classes was achieved by a certain "golden rotation" of the
tetrahedra.


title:
Compressed Sensing for Energy-Efficient Wireless Telemonitoring:
  Challenges and Opportunities

abstract:
  As a lossy compression framework, compressed sensing has drawn much attention
in wireless telemonitoring of biosignals due to its ability to reduce energy
consumption and make possible the design of low-power devices. However, the
non-sparseness of biosignals presents a major challenge to compressed sensing.
This study proposes and evaluates a spatio-temporal sparse Bayesian learning
algorithm, which has the desired ability to recover such non-sparse biosignals.
It exploits both temporal correlation in each individual biosignal and
inter-channel correlation among biosignals from different channels. The
proposed algorithm was used for compressed sensing of multichannel
electroencephalographic (EEG) signals for estimating vehicle drivers'
drowsiness. Results showed that the drowsiness estimation was almost unaffected
even if raw EEG signals (containing various artifacts) were compressed by 90%.


title: Classification of real rational knots of low degree in the 3-sphere

abstract:
  In this paper we classify, up to rigid isotopy, non-singular real rational
curves of degrees less than or equal to 6 in a quadric homeomorphic to the
3-sphere. We also study their connections with rigid isotopy classes of real
rational knots in $\mathbb{RP}^3$.


title: No stagnation in the growth of population

abstract:
  Growth of human population shows no signs of stagnation. The only small
disturbance is identified as being probably associated with the coinciding
impacts of five demographic catastrophes. The concept of the Epoch of
Malthusian Stagnation is convincingly contradicted by empirical evidence.


title: On a Clustering Criterion for Dependent Observations

abstract:
  A univariate clustering criterion for stationary processes satisfying a
$\beta$-mixing condition is proposed extending the work of \cite{KB2} to the
dependent setup. The approach is characterized by an alternative sample
criterion function based on truncated partial sums which renders the framework
amenable to various interesting extensions for which limit results for partial
sums are available. Techniques from empirical process theory for mixing
sequences play a vital role in the arguments employed in the proofs of the
limit theorems.


title: Focal points and sup-norms of eigenfunctions

abstract:
  If $(M,g)$ is a compact real analytic Riemannian manifold, we give a
necessary and sufficient condition for there to be a sequence of quasimodes of
order $o(\lambda)$ saturating sup-norm estimates. In particular, it gives
optimal conditions for existence of eigenfunctions satisfying maximal sup norm
bounds. The condition is that there exists a self-focal point $x_0\in M$ for
the geodesic flow at which the associated Perron-Frobenius operator $U_{x_0}:
L^2(S_{x_0}^*M) \to L^2(S_{x_0}^*M)$ has a nontrivial invariant $L^2$ function.
The proof is based on an explict Duistermaat-Guillemin-Safarov pre-trace
formula and von Neumann's ergodic theorem.


title: Mathematical Model of a pH-gradient Creation at Isoelectrofocusing

abstract:
  The mathematical model describing the stationary natural pH-gradient arising
under the action of an electric field in an aqueous solution of ampholytes
(amino acids) is constructed and investigated. The model is a part of a more
general model of the isoelectrofocusing process. Investigation is based on the
approximation of a weak solution by the piecewise continuous non-smooth
functions. The method can be used for solving classes of problems for ODEs with
a small parameter at higher derivatives and the turning points.


title: Average case polyhedral complexity of the maximum stable set problem

abstract:
  We study the minimum number of constraints needed to formulate random
instances of the maximum stable set problem via linear programs (LPs), in two
distinct models. In the uniform model, the constraints of the LP are not
allowed to depend on the input graph, which should be encoded solely in the
objective function. There we prove a $2^{\Omega(n/ \log n)}$ lower bound with
probability at least $1 - 2^{-2^n}$ for every LP that is exact for a randomly
selected set of instances; each graph on at most n vertices being selected
independently with probability $p \geq 2^{-\binom{n/4}{2}+n}$. In the
non-uniform model, the constraints of the LP may depend on the input graph, but
we allow weights on the vertices. The input graph is sampled according to the
G(n, p) model. There we obtain upper and lower bounds holding with high
probability for various ranges of p. We obtain a super-polynomial lower bound
all the way from $p = \Omega(\log^{6+\varepsilon} / n)$ to $p = o (1 / \log
n)$. Our upper bound is close to this as there is only an essentially quadratic
gap in the exponent, which currently also exists in the worst-case model.
Finally, we state a conjecture that would close this gap, both in the
average-case and worst-case models.


title: Higher Homotopies in a Hierarchy of Univalent Universes

abstract:
  For Martin-Lof type theory with a hierarchy U(0): U(1): U(2): ... of
univalent universes, we show that U(n) is not an n-type. Our construction also
solves the problem of finding a type that strictly has some high truncation
level without using higher inductive types. In particular, U(n) is such a type
if we restrict it to n-types. We have fully formalized and verified our results
within the dependently typed language and proof assistant Agda.


title: On nilpotent and solvable quotients of primitive groups

abstract:
  It is shown that if $G$ is a primitive permutation group on a set of size
$n$, then any nilpotent quotient of $G$ has order at most $n^{\beta}$ and any
solvable quotient of $G$ has order at most $n^{\alpha+1}$ where $\beta=\log 32/
\log 9$ and $\alpha=(3 \log (48)+\log (24))/ (3 \cdot \log (9))$. This was
motivated by a result of Aschbacher and Guralnick


title: An index relation for the quilted Atiyah-Floer conjecture

abstract:
  Given a closed, connected, oriented 3-manifold with positive first Betti
number, one can define an instanton Floer group as well as a quilted Lagrangian
Floer group. Each of these is equipped with a chain level grading. We show that
the gradings agree.


title:
Lifshitz Transition and Superconductivity Enhancement in High Pressure
  $cI$16 Li

abstract:
  The Fermi surface topology of $cI$16 Li at high pressures is studied using a
recently developed first-principles unfolding method. We find the occurrence of
a Lifshitz transition at $\sim$43 GPa, which explains the experimentally
observed anomalous onset of the superconductivity enhancement toward lowered
pressure. Furthermore we identify, in comparison with previous reports,
additional nesting vectors that contribute to the $cI$16 structural stability.
Our study highlights the importance of three-dimensional unfolding analyses for
first-principles studies of Fermi surface topologies and instabilities in
general.


title: Hardness of FeB4: Density functional theory investigation

abstract:
  A recent experimental study reported the successful synthesis of an
orthorhombic FeB4 with a high hardness of 62 GPa, which has reignited extensive
interests on whether transition metal borides (TRBs) compounds will become
superhard materials. However, it is contradicted with some theoretical studies
suggesting transition metal boron compounds are unlikely to become superhard
materials. Here, we examined structural and electronic properties of FeB4 using
density functional theory. The electronic calculations show the good
metallicity and covalent FeB bonding. Meanwhile, we extensively investigated
stress strain relations of FeB4 under various tensile and shear loading
directions. The calculated weakest tensile and shear stresses are 40 GPa and 25
GPa, respectively. Further simulations (e.g. electron localized function and
bond length along the weakest loading direction) on FeB4 show the weak Fe-B
bonding is responsible for this low hardness. Moreover, these results are
consistent with the value of Vickers hardness (11.7 to 32.3 GPa) by employing
different empirical hardness models and below the superhardness threshold of 40
GPa. Our current results suggest FeB4 is a hard material and unlikely to become
superhard.


title:
NaNet: a flexible and configurable low-latency NIC for real-time trigger
  systems based on GPUs

abstract:
  NaNet is an FPGA-based PCIe X8 Gen2 NIC supporting 1/10 GbE links and the
custom 34 Gbps APElink channel. The design has GPUDirect RDMA capabilities and
features a network stack protocol offloading module, making it suitable for
building low-latency, real-time GPU-based computing systems. We provide a
detailed description of the NaNet hardware modular architecture. Benchmarks for
latency and bandwidth for GbE and APElink channels are presented, followed by a
performance analysis on the case study of the GPU-based low level trigger for
the RICH detector in the NA62 CERN experiment, using either the NaNet GbE and
APElink channels. Finally, we give an outline of project future activities.


title: A Predictive Differentially-Private Mechanism for Mobility Traces

abstract:
  With the increasing popularity of GPS-enabled hand-held devices,
location-based applications and services have access to accurate and real-time
location information, raising serious privacy concerns for their millions of
users. Trying to address these issues, the notion of geo-indistinguishability
was recently introduced, adapting the well-known concept of Differential
Privacy to the area of location-based systems. A Laplace-based obfuscation
mechanism satisfying this privacy notion works well in the case of a sporadic
use; Under repeated use, however, independently applying noise leads to a quick
loss of privacy due to the correlation between the location in the trace.
  In this paper we show that correlations in the trace can be in fact exploited
in terms of a prediction function that tries to guess the new location based on
the previously reported locations. The proposed mechanism tests the quality of
the predicted location using a private test; in case of success the prediction
is reported otherwise the location is sanitized with new noise. If there is
considerable correlation in the input trace, the extra cost of the test is
small compared to the savings in budget, leading to a more efficient mechanism.
  We evaluate the mechanism in the case of a user accessing a location-based
service while moving around in a city. Using a simple prediction function and
two budget spending stategies, optimizing either the utility or the budget
consumption rate, we show that the predictive mechanim can offer substantial
improvements over the independently applied noise.


title: Subtle Invariants of $F$-crystals

abstract:
  Vasiu proved that the level torsion $\ell_{\mathcal{M}}$ of an $F$-crystal
$\mathcal{M}$ over an algebraically closed field of characteristic $p>0$ is a
non-negative integer that is an effectively computable upper bound of the
isomorphism number $n_{\mathcal{M}}$ of $\mathcal{M}$ and expected that in fact
one always has $n_{\mathcal{M}} = \ell_{\mathcal{M}}$. In this paper, we prove
that this equality holds.


title: Fundamental Limits of Detection of Galaxies in the Near and Mid Infrared

abstract:
  The construction of the James Webb Space Telescope has brought attention to
infrared astronomy and cosmology. The potential information about our universe
to be gained by this mission and future infrared telescopes is staggering, but
infrared observation faces many obstacles. These telescopes face large amounts
of noise by many phenomena, from emission off of the mirrors to the cosmic
infrared background. Infrared telescopes need to be designed in such a way that
noise is minimized to achieve sufficient signal to noise ratio on high redshift
objects. We will investigate current and planned space and ground based
telescopes, model the noise they encounter, and discover their limitations. The
ultimate of our investigation is to compare the sensitivity of these missions
in the near and mid IR and to propose new missions. Our investigation is broken
down into four major sections: current missions, noise, signal, and proposed
missions. In the proposed missions section we investigate historical and
current infrared telescopes with attention given to their location and
properties. The noise section discusses the noise that an infrared telescope
will encounter and set the background limit. The signal section will look at
the spectral energy distributions (SED) of a few significant objects in our
universe. We will calculate the intensity of the objects at various points on
Earth and in orbit. In the final section we use our findings in the signal and
noise sections to model integration times (observation time) for a variety of
missions to achieve a given signal to noise ratio (SNR).


title:
Comment on "Aharonov-Casher and Scalar Aharonov-Bohm Topological
  Effects"

abstract:
  In this Comment we point out (i) that the Hamiltonian, Eq. (17) in the
Letter(Phys. Rev. Lett. 108, 070405 (2012)), is not a relativistic Hamiltonian,
(ii) then that the conditions in the Letter are irrelevant for a topological AC
and SAB effects, and (iii) conclusively that the non-relativistic Hamiltonian
employed by Peshkin and Lipkin (Phys. Rev. Lett. 74, 2847 (1995)) has the same
$U(1)_{mm}$ gauge structure for a fixed spin and then is not wrong, but their
incorrect interpretation of the spin autocorrelations led to the incorrect
conclusion.


title: Proof of the Log-Convex Density Conjecture

abstract:
  We completely characterize isoperimetric regions in R^n with density e^h,
where h is convex, smooth, and radially symmetric. In particular, balls around
the origin constitute isoperimetric regions of any given volume, proving the
Log-Convex Density Conjecture due to Kenneth Brakke.


title: Percolation on the institute-enterprise R&D collaboration networks

abstract:
  Realistic network-like systems are usually composed of multiple networks with
interacting relations such as school-enterprise research and development
collaboration networks. Here we study the percolation properties of a special
kind of that R&D collaboration networks, namely institute-enterprise R&D
collaboration networks. We introduce two actual IERDCNs to show their
structural properties, and present a mathematical framework based on generating
functions for analyzing an interacting network with any connection probability.
Then we illustrate the percolation threshold and structural parameter
arithmetic in the sub-critical and supercritical regimes. We compare the
predictions of our mathematical framework and arithmetic to data for two real
R&D collaboration networks and a number of simulations, and we find that they
are in remarkable agreement with the data. We show applications of the
framework to electronics R&D collaboration networks.


title: The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model

abstract:
  By employing some modification to the widely used two-flavor Polyakov-loop
extended Nambu-Jona-Lasinio (PNJL) model, we discuss the Wigner solution of the
quark gap equation at finite temperature and zero quark chemical potential
beyond the chiral limit, and then try to explore its influences on the chiral
and deconfinement phase transitions of QCD at finite temperature and zero
chemical potential. The discovery of the coexistence of the Nambu and the
Wigner solutions of the quark gap equation with nonzero current quark mass at
zero temperature and zero chemical potential, as well as their evolutions with
temperature is very interesting for the studies of the phase transitions of
QCD. According to our results, the chiral phase transition might be of first
order (while the deconfinement phase transition is still a crossover, as in the
normal PNJL model), and the corresponding phase transition temperature is lower
than that of the deconfinement phase transition, instead of coinciding with
each other, which are not the same as the conclusions obtained from the normal
PNJL model. In addition, we also discuss the sensibility of our final results
on the choice of model parameters.


title:
A Three-class ROC for Evaluating Doubletalk Detectors in Acoustic Echo
  Cancellation

abstract:
  Doubletalk detector (DTD) is essential to keep adaptive filter from diverging
in the presence of near-end speech in acoustic echo cancellation (AEC), and
there was a receiver operating characteristic (ROC) to characterize DTD
performance. However, the traditional ROC for evaluating DTD used a static
time-invariant room acoustic impulse response and could not evaluate DTDs which
distinguish echo path change from doubletalk. We solve these problems by
extending the traditional binary detection ROC to three class, and simulations
show the efficiency of the proposed method.


title:
Geometric characterization and classification of B\"acklund
  transformations of sine-Gordon type

abstract:
  We begin by considering several properties commonly (but not universally)
possessed by B\"acklund transformations between hyperbolic Monge-Amp\`ere
equations: wavelike nature of the underlying equations, preservation of
independent variables, quasilinearity of the transformation, and autonomy of
the transformation. We show that, while these properties all appear to depend
on the formulation of both the underlying PDEs and the B\"acklund
transformation in a particular coordinate system, in fact they all have
intrinsic geometric meaning, independent of any particular choice of local
coordinates.
  Next, we consider the problem of classifying B\"acklund transformations with
these properties. We show that, apart from a family of transformations between
Monge-integrable equations, there exists only a finite-dimensional family of
such transformations, including the well-known family of B\"acklund
transformations for the sine-Gordon equation. The full extent of this family is
not yet determined, but our analysis has uncovered previously unknown
transformations among generalizations of Liouville's equation.


title:
A thermodynamically consistent quasi-particle model without
  density-dependent infinity of the vacuum zero point energy

abstract:
  In this paper, we generalize the improved quasi-particle model proposed in J.
Cao et al., [ Phys. Lett. B {\bf711}, 65 (2012)] from finite temperature and
zero chemical potential to the case of finite chemical potential and zero
temperature, and calculate the equation of state (EOS) for (2+1) flavor Quantum
Chromodynamics (QCD) at zero temperature and high density. We first calculate
the partition function at finite temperature and chemical potential, then go to
the limit $T=0$ and obtain the equation of state (EOS) for cold and dense QCD,
which is important for the study of neutron stars. Furthermore, we use this EOS
to calculate the quark-number density, the energy density, the quark-number
susceptibility and the speed of sound at zero temperature and finite chemical
potential and compare our results with the corresponding ones in the existing
literature.


title:
Solving the Schrodinger equation directly for a particle in
  one-dimensional periodic potentials

abstract:
  Solutions of time-independent Schrodinger equation for potentials periodic in
space satisfy Bloch theorem. The theorem has been used to obtain solutions of
the Schrodinger equation for periodic systems by expanding them in terms of
plane waves of appropriate wave-vectors and then diagonalising the resulting
Hamiltonian matrix. However, this method can give exact solutions only if an
infinite number of plane-waves are used in the wavefunction. Thus the
Schrodinger equation has not been solved exactly even for one-dimensional
infinitely large periodic systems despite the simplification that the theorem
provides. On the other hand, solutions of one-dimensional Schrodinger equation
for finite systems are obtained routinely by using standard numerical
techniques to integrate the Schrodinger equation directly. In this paper, we
extend this approach to infinitely large systems and use Bloch theorem in a
novel way to find direct exact numerical solutions of the Schrodinger equation
for arbitrary one-dimensional periodic potentials. In addition to providing a
different way of solving the Schrodinger equation for such systems, the
simplicity of the algorithm renders it a great pedagogical value.


title: Double Shuffle Relations for Multiple Dedekind Zeta Values

abstract:
  This paper contains examples of shuffle relations among multiple Dedekind
zeta values. Dedekind zeta values were defined by the author in his paper
"Multiple Dedekind zeta functions". Here we concentrate on the cases of real or
imaginary quadratic fields with up to double iteration. We give examples of
integral shuffle relation in terms of iterated integrals over membranes and of
infinite sum shuffle relation, sometimes called stuffle relation. Using both
types of shuffles for the product $\zeta_{K,C}(2)\zeta_{K,C}(2)$, we find
relations among multiple Dedekind zeta values for real and for imaginary
quadratic fields.


title: Action-at-a-distance electrodynamics in Quasi-steady-state cosmology

abstract:
  Action-at-a-distance electrodynamics - alternative approach to field theory -
can be extended to cosmological models using conformal symmetry. An advantage
of this is that the origin of arrow of time in electromagnetism can be
attributed to the cosmological structure. Different cosmological models can be
investigated, based on Wheeler-Feynman absorber theory, and only those models
can be considered viable for our universe which have net full retarded
electromagnetic interactions i.e. forward direction of time. This work
evaluates quasi-steady-state model and demonstrates that it admits full
retarded and not advanced solution. Thus QSSC satisfies this necessary
condition for a correct cosmological model, based on action-at-a-distance
formulation.


title: Scheduling Meets Fixed-Parameter Tractability

abstract:
  Fixed-parameter tractability analysis and scheduling are two core domains of
combinatorial optimization which led to deep understanding of many important
algorithmic questions. However, even though fixed-parameter algorithms are
appealing for many reasons, no such algorithms are known for many fundamental
scheduling problems.
  In this paper we present the first fixed-parameter algorithms for classical
scheduling problems such as makespan minimization, scheduling with
job-dependent cost functions-one important example being weighted flow time-and
scheduling with rejection. To this end, we identify crucial parameters that
determine the problems' complexity. In particular, we manage to cope with the
problem complexity stemming from numeric input values, such as job processing
times, which is usually a core bottleneck in the design of fixed-parameter
algorithms. We complement our algorithms with W[1]-hardness results showing
that for smaller sets of parameters the respective problems do not allow
FPT-algorithms. In particular, our positive and negative results for scheduling
with rejection explore a research direction proposed by D\'aniel Marx.
  We hope that our contribution yields a new and fresh perspective on
scheduling and fixed-parameter algorithms and will lead to further fruitful
interdisciplinary research connecting these two areas.


title:
Casimir Energy between a Sinusoidally Corrugated Sphere and a Plate
  Using Proximity Force Approximation

abstract:
  In this paper aiming to obtain the Casimir energy between a sinusoidally
corrugated sphere and a plate, we first present a derivation of the
sphere-plate Casimir force obtained by applying proximity force approximation
(PFA). One may investigate this problem by using the scattering matrix method.
Despite that this method achieves the exact result, but difficulties of
applying this formalism make the procedure complicated. We use the PFA to
achieve the purpose in a truly explicit manner. Considering the sphere to have
different kinds of sinusoidally corrugations, we obtain the effect of
deformation on the Casimir interaction energy. We suppose that $ a/r \leqslant
0.00755$ for the validity of PFA and an experimental accuracy goal of
$1\verb"%"$ in the case of sphere with radius $r$ at a minimal distance $a$
from a plate \cite{0601094}. The effect of finite conductivity would be non
negligible for such short distances. To reduce the inaccuracy of the result
obtained by PFA, we have also investigate thermal corrections of the Casimir
force.


title: Magnetic and Structural properties of $MnV_{2}O_{4}$

abstract:
  Magnetization, neutron diffraction and X-ray diffraction of Zn doped MnV2O4
as a function of temperature have been measured and the critical exponents and
magnetocaloric effect of this system have been estimated. It is observed, that
with increase in Zn substitution the noncollinear orientation of Mn spins with
the V spins decreases which effectively leads to the decrease of structural
transition temperature more rapidly than Curie temperature. It has been shown
that the obtained values of {\beta}, {\gamma} and {\delta} from different
methods match very well. These values do not belong to universal class and the
values are in between the 3D Heisenberg model and mean field interaction model.
The magnetization data follow the scaling equation and collapse into two
branches indicating that the calculated critical exponents and critical
temperature are unambiguous and intrinsic to the system. The observed double
peaks in magneto-caloric curve of Mn0.95Zn0.05V2O4 is due to the strong
distortion of VO6 octahedra.


title: A Reconstruction of Quintessence Dark Energy

abstract:
  With a parametric form of the equation of state parameter of dark energy, a
quintessence potential has been reconstructed. The potential is found to be a
generalization of a double exponential potential. The constraints on the
parameters are obtained by maximum likelihood analysis using observational
Hubble data, type Ia supernova data, baryon acoustic oscillation data and the
CMB shift parameter data. Th emodel shows preference towards the phantom
behaviour of dark energy.


title: Signal Recovery from Pooling Representations

abstract:
  In this work we compute lower Lipschitz bounds of $\ell_p$ pooling operators
for $p=1, 2, \infty$ as well as $\ell_p$ pooling operators preceded by
half-rectification layers. These give sufficient conditions for the design of
invertible neural network layers. Numerical experiments on MNIST and image
patches confirm that pooling layers can be inverted with phase recovery
algorithms. Moreover, the regularity of the inverse pooling, controlled by the
lower Lipschitz constant, is empirically verified with a nearest neighbor
regression.


title:
Phase Coexistence and the Structure of the Morphotropic Phase Boundary
  Region in (1-x)Bi(Mg1/2Zr1/2)O3-xPbTiO3 Piezoceramics

abstract:
  Structure of the morphotropic phase and the phase coexistence region has been
investigated in (1-x)Bi(Mg1/2Zr1/2)O3-xPbTiO3 ceramics. The structure is cubic
with space group Pm3m for the compositions with x<0.57 and tetragonal with
space group P4mm for the compositions with x>0.59. For the compositions with
0.56<x<0.60, both the tetragonal and cubic phases coexist, which suggest very
narrow morphotropic phase boundary region of compositional width
{\Delta}x~0.03. Rietveld refinement of the structure using x-ray diffraction
data confirms coexistence of the tetragonal and cubic phases in the MPB region
and rules out the coexistence of tetragonal and rhombohedral structure reported
by earlier workers. After poling appearance of significant value of
electromechanical coupling coefficient in the cubic compositions (x=0.55, 0.56)
suggests the presence of electric field induced transition from centrosymmetric
cubic phase to noncentrosymmetric phase. Polarization- Electric field
hysteresis loop measurement on the cubic composition with x=0.56 gives well
saturated loop similar to that observed in Pb(Mg1/3Nb2/3)O3 relaxor below the
freezing temperature.


title:
Synthesis and Structural Characterization of Highly Tetragonal
  (1-x)Bi(Zn1/2Ti1/2)O3-xPbTiO3 Piezoceramics

abstract:
  We present here the comprehensive X-ray diffraction (XRD) and dielectric
measurement of (1-x)Bi(Zn1/2Ti1/2)O3-xPbTiO3 (BZT-xPT) piezoceramics with
x=0.65, 0.70, 0.75 and 0.80. Powder X-ray diffraction data reveals the
tetragonal structure (space group P4mm) of BZT-xPT ceramics for all the
compositions.


title:
The Arizona Radio Observatory CO Mapping Survey of Galactic Molecular
  Clouds: III. The Serpens Cloud in CO J=2-1 and 13CO J=2-1 Emission

abstract:
  We mapped 12CO and 13CO J = 2-1 emission over 1.04 square deg of the Serpens
molecular cloud with 38 arcsec spatial and 0.3 km/s spectral resolution using
the Arizona Radio Observatory Heinrich Hertz Submillimeter telescope. Our maps
resolve kinematic properties for the entire Serpens cloud. We also compare our
velocity moment maps with known positions of Young Stellar Objects (YSOs) and
1.1 mm continuum emission. We find that 12CO is self-absorbed and 13CO is
optically thick in the Serpens core. Outside of the Serpens core, gas appears
in filamentary structures having LSR velocities which are blue-shifted by up to
2 km/s relative to the 8 km/s systemic velocity of the Serpens cloud. We show
that the known Class I, Flat, and Class II YSOs in the Serpens core most likely
formed at the same spatial location and have since drifted apart. The spatial
and velocity structure of the 12CO line ratios implies that a detailed
3-dimensional radiative transfer model of the cloud will be necessary for full
interpretation of our spectral data. The starless cores region of the cloud is
likely to be the next site of star formation in Serpens.


title: Blind Deconvolution with Non-local Sparsity Reweighting

abstract:
  Blind deconvolution has made significant progress in the past decade. Most
successful algorithms are classified either as Variational or Maximum
a-Posteriori ($MAP$). In spite of the superior theoretical justification of
variational techniques, carefully constructed $MAP$ algorithms have proven
equally effective in practice. In this paper, we show that all successful $MAP$
and variational algorithms share a common framework, relying on the following
key principles: sparsity promotion in the gradient domain, $l_2$ regularization
for kernel estimation, and the use of convex (often quadratic) cost functions.
Our observations lead to a unified understanding of the principles required for
successful blind deconvolution. We incorporate these principles into a novel
algorithm that improves significantly upon the state of the art.


title:
New procedures controlling the false discovery proportion via
  Romano-Wolf's heuristic

abstract:
  The false discovery proportion (FDP) is a convenient way to account for false
positives when a large number $m$ of tests are performed simultaneously. Romano
and Wolf [Ann. Statist. 35 (2007) 1378-1408] have proposed a general principle
that builds FDP controlling procedures from $k$-family-wise error rate
controlling procedures while incorporating dependencies in an appropriate
manner; see Korn et al. [J. Statist. Plann. Inference 124 (2004) 379-398];
Romano and Wolf (2007). However, the theoretical validity of the latter is
still largely unknown. This paper provides a careful study of this heuristic:
first, we extend this approach by using a notion of "bounding device" that
allows us to cover a wide range of critical values, including those that adapt
to $m\_0$, the number of true null hypotheses. Second, the theoretical validity
of the latter is investigated both nonasymptotically and asymptotically. Third,
we introduce suitable modifications of this heuristic that provide new methods,
overcoming the existing procedures with a proven FDP control.


title:
Local rapid stabilization for a Korteweg-de Vries equation with a
  Neumann boundary control on the right

abstract:
  This paper is devoted to the study of the rapid exponential stabilization
problem for a controlled Korteweg-de Vries equation on a bounded interval with
homogeneous Dirichlet boundary conditions and Neumann boundary control at the
right endpoint of the interval. For every noncritical length, we build a
feedback control law to force the solution of the closed-loop system to decay
exponentially to zero with arbitrarily prescribed decay rates, provided that
the initial datum is small enough. Our approach relies on the construction of a
suitable integral transform.


title:
Mathematical analysis of the stationary Oldroyd model with diffusive
  stress

abstract:
  We present the mathematical analysis of the stationary Oldroyd model with
diffusive stress: existence and uniqueness of weak solutions is shown if the
source terms are small enough or if the Reynolds and Weissenberg numbers are
small enough. Besides, in the corotational model, this condition on the data
can be relaxed for the existence result. Finally, strong solutions are obtained
with additional regularity on the data.


title:
A Comparative Study of Histogram Equalization Based Image Enhancement
  Techniques for Brightness Preservation and Contrast Enhancement

abstract:
  Histogram Equalization is a contrast enhancement technique in the image
processing which uses the histogram of image. However histogram equalization is
not the best method for contrast enhancement because the mean brightness of the
output image is significantly different from the input image. There are several
extensions of histogram equalization has been proposed to overcome the
brightness preservation challenge. Contrast enhancement using brightness
preserving bi-histogram equalization (BBHE) and Dualistic sub image histogram
equalization (DSIHE) which divides the image histogram into two parts based on
the input mean and median respectively then equalizes each sub histogram
independently. This paper provides review of different popular histogram
equalization techniques and experimental study based on the absolute mean
brightness error (AMBE), peak signal to noise ratio (PSNR), Structure
similarity index (SSI) and Entropy.


title: Structure Formation during an early period of matter domination

abstract:
  In this work we show that modifying the thermal history of the Universe by
including an early period of matter domination can lead to the formation of
astronomical objects. However, the survival of these objects can only be
possible if the dominating matter decays to a daughter particle which is not
only almost degenerate with the parent particle but also has an open
coannihilation channel. This requirement translates in an upper bound for the
coupling of such a channel and makes the early structure formation viable.


title: Analog and digital codes in the brain

abstract:
  It has long been debated whether information in the brain is coded at the
rate of neuronal spiking or at the precise timing of single spikes. Although
this issue is essential to the understanding of neural signal processing, it is
not easily resolved because the two mechanisms are not mutually exclusive. We
suggest revising this coding issue so that one hypothesis is uniquely selected
for a given spike train. To this end, we decide whether the spike train is
likely to transmit a continuously varying analog signal or switching between
active and inactive states. The coding hypothesis is selected by comparing the
likelihood estimates yielded by empirical Bayes and hidden Markov models on
individual data. The analysis method is applicable to generic event sequences,
such as earthquakes, machine noises, human communications, and enhances the
gain in decoding signals and infers underlying activities.


title: Congestion Control Technique Using Intelligent Traffic and Vanet

abstract:
  Road traffic jams is a most important problem in nearly all cities around the
world, especially in developing regions resulting in enormous delays, increased
fuel wastage and monetary losses. In this paper, we have obtained an in-sight
idea of simulating real world scenario of a critical region where traffic
congestion is very high. As it is not easy to set up and implement such a
complicated system in real world before knowing the impact of all parameters
used in Vehicle Ad hoc Network (VANET), a small real world area i.e. Jamshedpur
Regal area was taken into consideration, for studying the impact of mobility in
the VANET. Traffic movement has been deployed across the area under
consideration using one of the realistic vehicular mobility models. The
behavior of this network was simulated using SUMO and NS2 to study the impact
of traffic and traffic lights at the intersection on packet transmission over
Vehicle to Vehicle (V2V) communication using Ad hoc On Demand Vector (AODV)
routing protocol and IEEE 802.11 standard. From the traffic simulation results,
it is proved that congestion problem for the given sample map with traffic
lights and predefined flow can be solved. There was negligible congestion at
lanes when traffic logic was changed in accordance with allowing flow with high
traffic overload to have high priority than those with low load.


title:
A Novel Multifactor Authentication System Ensuring Usability and
  Security

abstract:
  User authentication is one of the most important part of information
security. Computer security most commonly depends on passwords to authenticate
human users. Password authentication systems will be either been usable but not
secure, or secure but not usable. While there are different types of
authentication systems available alphanumeric password is the most commonly
used authentication mechanism. But this method has significant drawbacks. An
alternative solution to the text based authentication is Graphical User
Authentication based on the fact that humans tends to remember images better
than text. Graphical password authentication systems provide passwords which
are easy to be created and remembered by the user. However, the main issues of
simple graphical password techniques are shoulder surfing attack and image
gallery attack. Studies reveals that most of the graphical passwords are either
secure but not usable or usable but not secure. In this paper, a new technique
that uses cued click point graphical password method along with the one-time
session key is proposed. The goal is to propose a new authentication mechanism
using graphical password to achieve higher security and better usability
levels. The result of the system testing is evaluated and it reveals that the
proposed system ensures security and usability to a great extent.


title:
Dynamical construction of K\"ahler-Einstein metrics on bounded
  pseudoconvex domains

abstract:
  In this note we shall prove that the complete K\"{a}hler-Einstein volume form
on a bounded strongly pseudoconvex domain with $C^{\infty}$-boundary is the
normalized limit of a sequence of Bergman kernels.


title: Fourier-Mukai transformation on algebraic cobordism

abstract:
  We define a notion of Fourier-Mukai transform on algebraic cobordism cycles
with $\mathbb{Q}$-coefficients on an abelian variety. We use this to produce a
Beauville decomposition of algebraic cobordism and study its consequences,
including a decomposition of the cobordism motive of an abelian variety.


title: Enhanced XML Validation using SRML

abstract:
  Data validation is becoming more and more important with the ever-growing
amount of data being consumed and transmitted by systems over the Internet. It
is important to ensure that the data being sent is valid as it may contain
entry errors, which may be consumed by different systems causing further
errors. XML has become the defacto standard for data transfer. The XML Schema
Definition language (XSD) was created to help XML structural validation and
provide a schema for data type restrictions, however it does not allow for more
complex situations. In this article we introduce a way to provide rule based
XML validation and correction through the extension and improvement of our SRML
metalanguage. We also explore the option of applying it in a database as a
trigger for CRUD operations allowing more granular dataset validation on an
atomic level allowing for more complex dataset record validation rules.


title: The Mean Square of Divisor Function

abstract:
  Let $d(n)$ be the divisor function. In 1916, S. Ramanujan stated but without
proof that $$\sum_{n\leq x}d^2(n)=xP(\log x)+E(x), $$ where $P(y)$ is a cubic
polynomial in $y$ and $$ E(x)=O(x^{{3\over 5}+\epsilon}), $$ where $\epsilon$
is a sufficiently small positive constant. He also stated that, assuming the
Riemann Hypothesis(RH), $$ E(x)=O(x^{{1\over 2}+\epsilon}). $$
  In 1922, B. M. Wilson proved the above result unconditionally. The direct
application of the RH would produce $$ E(x)=O(x^{1\over 2}(\log x)^5\log\log
x). $$ In 2003, K. Ramachandra and A. Sankaranarayanan proved the above result
without any assumption.
  In this paper, we shall prove $$ E(x)=O(x^{1\over 2}(\log x)^5). $$


title:
The parastatistics Fock space and explicit Lie superalgebra
  representations

abstract:
  It is known that the defining triple relations of m pairs of parafermion
operators and n pairs of paraboson operators with relative parafermion
relations can be considered as defining relations for the Lie superalgebra
osp(2m+1|2n) in terms of 2(m+n) generators. With the common Hermiticity
conditions, this means that the parastatistics Fock space of order p
corresponds to an infinite-dimensional unitary irreducible representation V(p)
of osp(2m+1|2n), with lowest weight (-p/2,...,- p/|p/2,...,p/2). These
representations (also in the simplest case m=n=1) had never been constructed
due to computational difficulties, despite their importance. In the present
paper we solve partially the problem in the general case using group
theoretical techniques, in which the u(m|n) subalgebra of osp(2m+1|2n) plays a
crucial role: a set of Gelfand-Zetlin patterns of u(m|n) can be used to label
the basis vectors of V(p). An explicit and elegant construction of these
representations V(p) for m=n=1, and the actions or matrix elements of the
osp(3|2) generators are given.


title:
High Dimensional Tests Based on U-Statistics for Generalized Linear
  Models

abstract:
  I propose two U-statistics to test coefficients in generalized linear models.
One of them is used to deal with global hypothesis and the other one to test
with the nuisance parameter. Both the statistics proposed are within
high-dimensional setting which means the number of coefficients is much larger
than the sample size. The statistics are based on quasi-likelihood function so
that they have wilder applications. I theoretically analyze the asymptotic
distribution of the statistics under the null hypothesis and the power
functions under the local and fixed alternatives. To serve as a comparison, the
power functions of the test proposed by Goeman et al. (2011) are also derived.
Some simulation studies are carried out and I apply my methods to an empirical
study.


title: A Mackey-functor theoretic interpretation of biset functors

abstract:
  In this article, we consider a formulation of biset functors using the
2-category of finite sets with variable finite group actions. We introduce a
2-category $\mathbb{S}$, on which a biset functor can be regarded as a special
kind of Mackey functors. This gives an analog of Dress' definition of a Mackey
functor, in the context of biset functors.


title:
Kernelizations for the hybridization number problem on multiple
  nonbinary trees

abstract:
  Given a finite set $X$, a collection $\mathcal{T}$ of rooted phylogenetic
trees on $X$ and an integer $k$, the Hybridization Number problem asks if there
exists a phylogenetic network on $X$ that displays all trees from $\mathcal{T}$
and has reticulation number at most $k$. We show two kernelization algorithms
for Hybridization Number, with kernel sizes $4k(5k)^t$ and $20k^2(\Delta^+-1)$
respectively, with $t$ the number of input trees and $\Delta^+$ their maximum
outdegree. Experiments on simulated data demonstrate the practical relevance of
these kernelization algorithms. In addition, we present an $n^{f(k)}t$-time
algorithm, with $n=|X|$ and $f$ some computable function of $k$.


title: Synthesis for Polynomial Lasso Programs

abstract:
  We present a method for the synthesis of polynomial lasso programs. These
programs consist of a program stem, a set of transitions, and an exit
condition, all in the form of algebraic assertions (conjunctions of polynomial
equalities). Central to this approach is the discovery of non-linear
(algebraic) loop invariants. We extend Sankaranarayanan, Sipma, and Manna's
template-based approach and prove a completeness criterion. We perform program
synthesis by generating a constraint whose solution is a synthesized program
together with a loop invariant that proves the program's correctness. This
constraint is non-linear and is passed to an SMT solver. Moreover, we can
enforce the termination of the synthesized program with the support of test
cases.


title:
Mean charged multiplicities in charged-current neutrino scattering on
  hydrogen and deuterium

abstract:
  Available experimental data are analyzed to derive simple parametrizations
for the mean charged-hadron multiplicities in charged-current neutrino and
antineutrino interactions with hydrogen and deuterium targets. The obtained
results can be used in the (anti)neutrino-induced hadronic shower modeling.


title: Homology of some surfaces with $p_g = q = 0$ isogenous to a product

abstract:
  Bauer and Catanese \cite{bauercat} have found 4 families of surfaces of
general type with $p_g = q = 0$ which are quotients of the product of curves by
the action of finite abelian group. We compute integral homology groups of
these surfaces.


title:
Characterizing the non-classicality of mesoscopic optical twin-beam
  states

abstract:
  We present a robust tool to analyze nonclassical properties of multimode
twin-beam states in the mesoscopic photon-number domain. The measurements are
performed by direct detection. The analysis exploits three different
non-classicality criteria for detected photons exhibiting complementary
behavior in the explored intensity regime. Joint signal-idler photon-number
distributions and quasi-distributions of integrated intensities are determined
and compared with the corresponding distributions of detected photons.
Experimental conditions optimal for nonclassical properties of twin-beam states
are identified.


title:
Verification of Anisotropic s-Wave Superconducting Gap Structure in
  CeRu2 from Low-Temperature Field-Angle-Resolved Specific Heat Measurements

abstract:
  The field-angle-resolved specific heat C(T,H,phi) of the f-electron
superconductor CeRu2 (Tc=6.3 K) has been measured at low temperatures down to
90 mK on two single crystals of slightly different qualities. We reveal that
the C(phi) oscillation in a rotating magnetic field, originating from the gap
anisotropy, diminishes at low temperatures below the characteristic field H*,
as expected for an anisotropic gap without nodes. We also observe the
suppression of H* by decreasing the gap anisotropy ratio $\Delta_{\rm
min}/\Delta_{\rm max}$, a behavior that has been predicted from a microscopic
theory for anisotropic s-wave superconductors. The present technique is
established as a powerful tool for investigating minimum-gap structures as well
as nodal structures.


title: Emergent universe in spatially flat cosmological model

abstract:
  The scenario of an emergent universe provides a promising resolution to the
big bang singularity in universes with positive or negative spatial curvature.
It however remains unclear whether the scenario can be successfully implemented
in a spatially flat universe which seems to be favored by present cosmological
observations. In this paper, we study the stability of Einstein static state
solutions in a spatially flat Shtanov-Sahni braneworld scenario. With a
negative dark radiation term included and assuming a scalar field as the only
matter energy component, we find that the universe can stay at an Einstein
static state past eternally and then evolve to an inflation phase naturally as
the scalar field climbs up its potential slowly. In addition, we also propose a
concrete potential of the scalar field that realizes this scenario.


title:
Quantum interference and control of the optical response in quantum dot
  molecules

abstract:
  We discuss the optical response of a quantum molecule under the action of two
lasers fields. Using a realistic model and parameters, we map the physical
conditions to find three different phenomena reported in the literature: the
tunneling induced transparency, the formation of Autler-Townes doublets, and
the creation of a Mollow-like triplet. We found that the electron tunneling
between quantum dots is the responsible for the different optical regime. Our
results not only explain the experimental results in the literature but also
give insights for future experiments and applications in optics using quantum
dots molecules.


title: A dichotomy for $D$-rank 1 types in simple theories

abstract:
  We prove a dichotomy for $D$-rank 1 types in simple theories that generalizes
Buechler's dichotomy for $D$-rank 1 minimal types in stable theories: every
$D$-rank 1 type is either 1-based or part of its algebraic closure, defined by
a single formula, almost contains a non-algebraic formula that belongs to a
non-forking extension of the type. In addition we prove that a densely 1-based
type of $D$-rank 1 is 1-based. We also observe that for a hypersimple
unidimensional theory the existence of a non-algebraic stable type implies
stability (and thus superstability).


title: Negative azimuthal force of a nanofiber-guided light on a particle

abstract:
  We calculate the force of a quasicircularly polarized guided light field of a
nanofiber on a dielectric spherical particle. We show that the orbital parts of
the axial and azimuthal components of the Poynting vector are always positive
while the spin parts can be either positive or negative. We find that, for
appropriate values of the size parameter of the particle, the azimuthal
component of the force is directed oppositely to the circulation direction of
the energy flow around the nanofiber. The occurrence of such a negative
azimuthal force indicates that the particle undergoes a negative torque.


title: Largest chordal and interval subgraphs faster than 2^n

abstract:
  We prove that in an n-vertex graph, induced chordal and interval subgraphs
with the maximum number of vertices can be found in time $O(2^{\lambda n})$ for
some $\lambda<1$. These are the first algorithms breaking the trivial $2^n
n^{O(1)}$ bound of the brute-force search for these problems.


title: A generalized evidence distance

abstract:
  Dempster-Shafer theory of evidence (D-S theory) is widely used in uncertain
information process. The basic probability assignment(BPA) is a key element in
D-S theory. How to measure the distance between two BPAs is an open issue. In
this paper, a new method to measure the distance of two BPAs is proposed. The
proposed method is a generalized of existing evidence distance. Numerical
examples are illustrated that the proposed method can overcome the shortcomings
of existing methods.


title: A Fast Algorithm for Computing High-dimensional Risk Parity Portfolios

abstract:
  In this paper we propose a cyclical coordinate descent (CCD) algorithm for
solving high dimensional risk parity problems. We show that this algorithm
converges and is very fast even with large covariance matrices (n > 500).
Comparison with existing algorithms also shows that it is one of the most
efficient algorithms.


title: Inhomogeneous first-passage percolation

abstract:
  We study first-passage percolation where edges in the left and right
half-planes are assigned values according to different distributions. We show
that the asymptotic growth of the resulting inhomogeneous first-passage process
obeys a shape theorem, and we express the limiting shape in terms of the
limiting shapes for the homogeneous processes for the two weight distributions.
We further show that there exist pairs of distributions for which the rate of
growth in the vertical direction is strictly larger than the rate of growth of
the homogeneous process with either of the two distributions, and that this
corresponds to the creation of a defect along the vertical axis in the form of
a `pyramid'.


title: Measurement of the 5D Level Polarizabilty in Laser Cooled Rb atoms

abstract:
  We report on accurate measurements of the scalar and tensor polarizabilities
of the 5D fine structure levels 5D3/2 and 5D5/2 in Rb. The measured values show
reasonable correspondence to previously published theoretical predictions, but
are more accurate. We implemented laser excitation of the 5D level in a laser
cooled cloud of optically polarized Rb-87 atoms placed in a constant electric
field.


title:
Structure of odd $^{79,81,83}$Se isotopes with proton and neutron
  excitations across $Z=28$ AND $N= 40$

abstract:
  The recently measured experimental data of $^{79,81,83}$Se isotopes have been
interpreted in terms of shell model calculations. The calculations have been
performed in ${f_{5/2}pg_{9/2}}$ space with the recently derived interactions,
namely with JUN45 and jj44b. To study the importance of the proton excitations
across the $Z=28$ shell in this region. We have also performed calculation in
${fpg_{9/2}}$ valence space using an ${fpg}$ effective interaction with
$^{48}$Ca core and imposing a truncation. Excitation energies, $B(2)$ values,
quadrupole moments and magnetic moments are compared with experimental data
when available. Present study reveals the importance of proton excitations
across the $Z=28$ shell for predicting quadrupole and magnetic moments.


title: Detecting Thom faults in stratified mappings

abstract:
  We state and prove several characterizations of Thom's regularity condition
for stratified maps. In particular we extend to stratified maps some
characterizations of Whitney (a) regularity, due to the second author.


title: Irreducible geometric subgroups of classical algebraic groups

abstract:
  Let $G$ be a simple classical algebraic group over an algebraically closed
field $K$ of characteristic $p \ge 0$ with natural module $W$. Let $H$ be a
closed subgroup of $G$ and let $V$ be a non-trivial irreducible
tensor-indecomposable $p$-restricted rational $KG$-module such that the
restriction of $V$ to $H$ is irreducible. In this paper we classify all such
triples $(G,H,V)$, where $H$ is a maximal closed disconnected
positive-dimensional subgroup of $G$, and $H$ preserves a natural geometric
structure on $W$.


title: Functional representation of the negative DNLS hierarchy

abstract:
  This paper is devoted to the negative flows of the derivative nonlinear
Schr\"odinger hierarchy (DNLSH). The main result of this work is the functional
representation of the extended DNLSH, composed of both positive (classical) and
negative flows. We derive a finite set of functional equations, constructed by
means of the Miwa's shifts, which contains all equations of the hierarchy.
Using the obtained functional representation we convert the nonlocal equations
of the negative subhierarchy into local ones of higher order, derive the
generating function of the conservation laws and the N-soliton solutions for
the extended DNLSH under non-vanishing boundary conditions.


title:
Methods for Integrating Knowledge with the Three-Weight Optimization
  Algorithm for Hybrid Cognitive Processing

abstract:
  In this paper we consider optimization as an approach for quickly and
flexibly developing hybrid cognitive capabilities that are efficient, scalable,
and can exploit knowledge to improve solution speed and quality. In this
context, we focus on the Three-Weight Algorithm, which aims to solve general
optimization problems. We propose novel methods by which to integrate knowledge
with this algorithm to improve expressiveness, efficiency, and scaling, and
demonstrate these techniques on two example problems (Sudoku and circle
packing).


title: Uncertainty Principle for the Cantor Dyadic Group

abstract:
  We introduce a notion of localization for dyadic functions, i.e. functions
defined on the Cantor group. Localization is characterized by functional $UC_d$
similar to the Heisenberg uncertainty constant used for real-line functions. We
are looking for dyadic analogs of quantitative uncertainty principles. To
justify definition we use some test functions including dyadic scaling and
wavelet functions.