title: Leading-Order Auxiliary Field Theory of the Bose-Hubbard Model

abstract:
  We discuss the phase diagram of the Bose-Hubbard (BH) model in the
leading-order auxiliary field (LOAF) theory. LOAF is a conserving
non-perturbative approximation that treats on equal footing the normal and
anomalous density condensates. The mean-field solutions in LOAF correspond to
first-order and second-order phase transition solutions with two critical
temperatures corresponding to a vanishing Bose-Einstein condensate, $T_c$, and
a vanishing diatom condensate, $T^\star$. The \emph{second-order} phase
transition solution predicts the correct order of the transition in continuum
Bose gases. For either solution, the superfluid state is tied to the presence
of the diatom condensate related to the anomalous density in the system. In
ultracold Bose atomic gases confined on a three-dimensional lattice, the
critical temperature $T_c$ exhibits a quantum phase transition, where $T_c$
goes to zero at a finite coupling. The BH phase diagram in LOAF features a line
of first-order transitions ending in a critical point beyond which the
transition is second order while approaching the quantum phase transition. We
identify a region where a diatom condensate is expected for temperatures higher
than $T_c$ and less than $T_0$, the critical temperature of the non-interacting
system. The LOAF phase diagram for the BH model compares qualitatively well
with existing experimental data and results of \emph{ab initio} Monte Carlo
simulations.


title:
A knot characterization and 1-connected nonnegatively curved 4-manifolds
  with circle symmetry

abstract:
  We classify nonnegatively curved simply connected 4-manifolds with circle
symmetry up to equivariant diffeomorphisms. The main problem is rule out
knotted curves in the singular set of the orbit space. As an extension of this
work we classify all knots in S^3 which can be realized as an extremal set with
respect to an inner metric on S^3 which has nonnegative curvature in the
Alexandrov sense.


title: Dynamics of resistive state in thin superconducting channels

abstract:
  We theoretically study how the dynamics of the resistive state in narrow
superconducting channels shunted by an external resistor depends on channel's
length $L$, the applied current $j$, and parameter $u$ characterizing the
penetration depth of the electric field in the nonequilibrium superconductors.
We show that changing $u$ dramatically affects both the behaviour of the
current-voltage characteristics of the superconducting channels and the
dynamics of their order parameter. Previously, it was demonstrated that when
$u$ is less than the critical value $u_{c1}$, which does not depend on $L$, the
phase slip centers appear simultaneously at different spots of the channel.
Herewith, for $u>u_{c1}$ these centres arise consecutively at the same place.
In our work we demonstrate that there is another critical value for $u$.
Actually, if $u$ does not exceed a certain value $u_{c2}$, which depends on
$L$, the current-voltage characteristic exhibits the step-like behaviour.
However, for $u>u_{c2}$ it becomes hysteretic. In this case, with increase of
$j$ the steady state, which corresponds to the time independent distribution of
the order parameter along the channel, losses its stability at switching
current value $j_{sw}$, and time periodic oscillations of both the order
parameter and electric filed occur in the channel. As $j$ sweeps down, the
periodic dynamics ceases at certain retrapping current value $j_r<j_{sw}$.
Shunting the channel by a resistor increases the value of $j_r$, while $j_{sw}$
remains unchanged. Thus, for some high enough conductivity of the shunt $j_r$
and $j_{sw}$ eventually coincide, and the hysteretic loop disappears. We reveal
dynamical regimes involved in the hysteresis, and discuss the bifurcation
transitions between them.


title:
Highly Controllable Qubit-Bath Coupling Based on a Sequence of
  Resonators

abstract:
  Combating the detrimental effects of noise remains a major challenge in
realizing a scalable quantum computer. To help to address this challenge, we
introduce a model realizing a controllable qubit-bath coupling using a sequence
of LC resonators. The model establishes a strong coupling to a low-temperature
environment which enables us to lower the effective qubit temperature making
ground state initialization more efficient. The operating principle is similar
to that of a recently proposed coplanar-waveguide cavity (CPW) system, for
which our work introduces a complementary and convenient experimental
realization. The lumped-element model utilized here provides an easily
accessible theoretical description. We present analytical solutions for some
experimentally feasible parameter regimes and study the control mechanism.
Finally, we introduce a mapping between our model and the recent CPW system.


title:
Relativistic Landau-He-McKellar-Wilkens quantization and relativistic
  bound states solutions for a Coulomb-like potential induced by the Lorentz
  symmetry breaking effects

abstract:
  In this work, we discuss the relativistic Landau-He-McKellar-Wilkens
quantization and relativistic bound states solutions for a Dirac neutral
particle under the influence of a Coulomb-like potential induced by the Lorentz
symmetry breaking effects. We present new possible scenarios of studying
Lorentz symmetry breaking effects by fixing the space-like vector field
background in special configurations. It is worth mentioning that we use the
criterion for studying the violation of Lorentz symmetry is that the gauge
symmetry should be preserved.


title:
Tight-binding model and direct-gap/indirect-gap transition in
  single-layer and multi-layer MoS$_2$

abstract:
  In this paper we present a paradigmatic tight-binding model for single-layer
as well as for multi-layered semiconducting MoS$_2$ and similar transition
metal dichalcogenides. We show that the electronic properties of multilayer
systems can be reproduced in terms of a tight-binding modelling of the
single-layer hopping terms by simply adding the proper interlayer hoppings
ruled by the chalcogenide atoms. We show that such tight-binding model permits
to understand and control in a natural way the transition between a direct-gap
band structure, in single-layer systems, to an indirect gap in multilayer
compounds in terms of a momentum/orbital selective interlayer splitting of the
relevant valence and conduction bands. The model represents also a suitable
playground to investigate in an analytical way strain and finite-size effects.


title:
Fluid phonons, protoinflationary dynamics and large-scale gravitational
  fluctuations

abstract:
  We explore what can be said on the effective temperature and sound speed of a
statistical ensemble of fluid phonons present at the onset of a conventional
inflationary phase. The phonons are the actual normal modes of the gravitating
and irrotational fluid that dominates the protoinflationary dynamics. The
bounds on the tensor to scalar ratio result in a class of novel constraints
involving the slow roll parameter, the sound speed of the phonons and the
temperature of the plasma prior to the onset of inflation. If the current size
of the Hubble radius coincides with the inflationary event horizon redshifted
down to the present epoch, the sound speed of the phonons can be assessed from
independent measurements of the tensor to scalar ratio and of the tensor
spectral index.


title: Quantum Holonomies based on the Lorentz-violating tensor background

abstract:
  We study geometric quantum phases corresponding to analogues of the Anandan
quantum phase [J. Anandan, Phys. Lett. A {\bf138}, 347 (1989)] based on a
possible scenario of the Lorentz symmetry violation background in a tensor
background. We also show that quantum holonomies associated with the analogue
of the Anandan quantum phase can be determined, and discuss a way of performing
one-qubit quantum gates by analogy with the holonomic quantum computation [P.
Zanardi and M. Rasetti, Phys. Lett. A {\bf264}, 94 (1999)].


title:
Ponderomotive modification of multicomponent magnetospheric plasma due
  to electromagnetic ion cyclotron waves

abstract:
  We derive the expression for the ponderomotive force in the real
multicomponent magnetospheric plasma containing heavy ions. The ponderomotive
force considered includes the induced magnetic moment of all the species and
arises due to inhomogeneity of the traveling low-frequency electromagnetic wave
amplitude in the nonuniform medium. The nonlinear stationary force balance
equation is obtained taking into account the gravitational and centrifugal
forces for the plasma consisting of the electrons, protons and heavy ions
(He$^{+}$). The background geomagnetic field is taken for the dayside of the
magnetosphere, where the magnetic field have magnetic "holes" (Antonova and
Shabansky 1968). The balance equation is solved numerically to obtain the
nonlinear density distribution of ions (H$^{+}$) in the presence of heavy ions
(He$^{+}$). It is shown that for frequencies less than the helium gyrofrequency
at the equator the nonlinear plasma density perturbations are peaked in the
vicinity of the equator due to the action of the ponderomotive force. A
comparison of the cases of the dipole and dayside magnetosphere is provided. It
is obtained that the presence of heavy ions leads to decrease of the proton
density modification.


title: Criticality in the Bose-Hubbard model with three-body repulsion

abstract:
  We study the attractive Bose-Hubbard model with a tunable, on-site three-body
constraint. It is shown that the critical behavior of the system undergoing a
phase transition from pair-superfluid to superfluid at unit filling depends on
the value of the three-body repulsion. In particular, we calculate critical
exponents and the central charge governing the quantum phase transition.


title: A new construction of lens spaces

abstract:
  Let $T^n$ be the real $n$-torus group. We give a new definition of lens
spaces and study the diffeomorphic classification of lens spaces. We show that
any $3$-dimensional lens space $L(p; q)$ is $T^2$-equivariantly cobordant to
zero. We also give some sufficient conditions for higher dimensional lens
spaces $L(p; q_1, \ldots, q_n)$ to be $T^{n+1}$-equivariantly cobordant to
zero. In 2005, B. Hanke showed that complex equivariant cobordism class of a
lens space is trivial. Nevertheless, our proofs are constructive using toric
topological arguments.


title: Friends, Strangers, and the Value of Ego Networks for Recommendation

abstract:
  Two main approaches to using social network information in recommendation
have emerged: augmenting collaborative filtering with social data and
algorithms that use only ego-centric data. We compare the two approaches using
movie and music data from Facebook, and hashtag data from Twitter. We find that
recommendation algorithms based only on friends perform no worse than those
based on the full network, even though they require much less data and
computational resources. Further, our evidence suggests that locality of
preference, or the non-random distribution of item preferences in a social
network, is a driving force behind the value of incorporating social network
information into recommender algorithms. When locality is high, as in Twitter
data, simple k-nn recommenders do better based only on friends than they do if
they draw from the entire network. These results help us understand when, and
why, social network information is likely to support recommendation systems,
and show that systems that see ego-centric slices of a complete network (such
as websites that use Facebook logins) or have computational limitations (such
as mobile devices) may profitably use ego-centric recommendation algorithms.


title:
Smoothing effect of rough differential equations driven by fractional
  Brownian motions

abstract:
  In this work we study the smoothing effect of rough differential equations
driven by a fractional Brownian motion with parameter $H>1/4$. The
regularization estimates we obtain generalize to the fractional Brownian motion
previous results by Kusuoka and Stroock and can be seen as a quantitative
version of the existence of smooth densities under H\"ormander's type
conditions.


title: Non-commuting graphs of nilpotent groups

abstract:
  Let $G$ be a non-abelian group and $Z(G)$ be the center of $G$. The
non-commuting graph $\Gamma_G$ associated to $G$ is the graph whose vertex set
is $G\setminus Z(G)$ and two distinct elements $x,y$ are adjacent if and only
if $xy\neq yx$. We prove that if $G$ and $H$ are non-abelian nilpotent groups
with irregular isomorphic non-commuting graphs, then $|G|=|H|$.


title: Essential Building Blocks of Dark Energy

abstract:
  We propose a minimal description of single field dark energy/modified gravity
within the effective field theory formalism for cosmological perturbations,
which encompasses most existing models. We start from a generic Lagrangian
given as an arbitrary function of the lapse and of the extrinsic and intrinsic
curvature tensors of the time hypersurfaces in unitary gauge, i.e. choosing as
time slicing the uniform scalar field hypersurfaces. Focusing on linear
perturbations, we identify seven Lagrangian operators that lead to equations of
motion containing at most two (space or time) derivatives, the background
evolution being determined by the time dependent coefficients of only three of
these operators. We then establish a dictionary that translates any existing or
future model whose Lagrangian can be written in the above form into our
parametrized framework. As an illustration, we study Horndeski's-or generalized
Galileon-theories and show that they can be described, up to linear order, by
only six of the seven operators mentioned above. This implies, remarkably, that
the dynamics of linear perturbations can be more general than that of Horndeski
while remaining second order. Finally, in order to make the link with
observations, we provide the entire set of linear perturbation equations in
Newtonian gauge, the effective Newton constant in the quasi-static
approximation and the ratio of the two gravitational potentials, in terms of
the time-dependent coefficients of our Lagrangian.


title:
Non-adiabatic electron behaviour due to short-scale electric field
  structures at collisionless shock waves

abstract:
  Under sufficiently high electric field gradients, electron behaviour within
exactly perpendicular shocks is unstable to the so-called trajectory
instability. We extend previous work paying special attention to shortiscale,
high amplitude structures as observed within the electric field profile. Via
test particle simulations, we show that such structures can cause the electron
distribution to heat in a manner that violates conservation of the first
adiabatic invariant. This is the case even if the overall shock width is larger
than the upstream electron gyroradius. The spatial distance over which these
structures occur therefore constitutes a new scale length relevant to the shock
heating problem. Furthermore, we find that the spatial location of the
short-scale structure is important in determining the total effect of
non-adiabatic behaviour - a result that has not been previously noted.


title: A note on Diophatine approximation in $\rm{SL}_2(\mathbb{R})$

abstract:
  We prove a quantitative version of the following statement: the unipotent
flow orbit of a typical lattice in
$\rm{SL}_2(\mathbb{R})/\rm{SL}_2(\mathbb{Z})$ is dense. Our quantitative result
uses A. Weil's bounds for Kloostermann sums.


title: On a fractional sublinear elliptic equation with a variable coefficient

abstract:
  We study existence and uniqueness of bounded solutions to a fractional
sublinear elliptic equation with a variable coefficient, in the whole space.
Existence is investigated in connection to a certain fractional linear
equation, whereas the proof of uniqueness relies on uniqueness of solutions to
an associated fractional porous medium equation with variable density.


title: Single scalar cosmology

abstract:
  The cosmology of flat FLRW universes dominated by a single scalar field is
discussed. General features of the evolution of the universe and the scalar
field are illustrated by specific examples. In particular the role of critical
points, where the scalar field is stationary, is emphasized and their
classification and interpretation as stable or unstable end points, or turning
points is explained.


title: Charge relaxation dynamics of an electrolytic nanocapacitor

abstract:
  Understanding ion relaxation dynamics in overlapping electric double layers
(EDLs) is critical for the development of efficient nanotechnology based
electrochemical energy storage, electrochemomechanical energy conversion and
bioelectrochemical sensing devices as well as controlled synthesis of
nanostructured materials. Here, a Lattice Boltzmann (LB) method is employed to
simulate an electrolytic nanocapacitor subjected to a step potential at t = 0
for various degrees of EDL overlap, solvent viscosities, ratios of cation to
anion diffusivity and electrode separations. The use of a novel, continuously
varying and Galilean invariant, molecular speed dependent relaxation time
(MSDRT) with the LB equation recovers a correct microscopic description of the
molecular collision phenomena and enhances the stability of the LB algorithm.
Results for large EDL overlaps indicated oscillatory behavior for the ionic
current density in contrast to monotonic relaxation to equilibrium for low EDL
overlaps. Further, at low solvent viscosities and large EDL overlaps, anomalous
plasma-like spatial oscillations of the electric field were observed that
appeared to be purely an effect of nanoscale confinement. Employing MSDRT in
our simulations enabled a modeling of the fundamental physics of the transient
charge relaxation dynamics in electrochemical systems operating away from
equilibrium wherein Nernst-Einstein relation is known to be violated.


title:
Vibrationally coupled electron transport in single-molecule junctions:
  The importance of electron-hole pair creation processes

abstract:
  Vibrationally coupled electron transport through single-molecule junctions is
considered. Reviewing our recent theoretical work, we show that electron-hole
pair creation processes represent the key to understand the vibrational
excitation characteristic of a single-molecule contact. Moreover, these
processes can lead to a number of interesting transport phenomena such as, for
example, negative differential resistance, rectification, mode-selective
vibrational excitation and a pronounced temperature dependence of the
electrical current. Thus, electron-hole pair creation processes are crucial to
elucidate the basic mechanisms of vibrationally coupled electron transport
through a single-molecule contact, despite the fact that these processes do not
directly contribute to the electrical current that is flowing through the
junction.


title:
Front propagation and quasi-stationary distributions: the same selection
  principle?

abstract:
  We analyze the connection between selection principles in front propagation
and quasi-stationary distributions. We describe the missing link through the
microscopic models known as Branching Brownian Motion with selection and
Fleming-Viot.


title:
Sequential robust efficient estimation for nonparametric autoregressive
  models

abstract:
  We construct efficient robust truncated sequential estimators for the
pointwise estimation problem in nonparametric autoregression models with smooth
coefficients. For Gaussian models we propose an adaptive procedure based on the
constructed sequential estimators. The minimax nonadaptive and adaptive
convergence rates are established. It turns out that in this case these rates
are the same as for regression models.


title: Preperiodic dynatomic curves for z-\textgreater{}z^d+c

abstract:
  We study the preperiodic dynatomic curves $\mathcal{X}\_{n,p}$, the closure
of set of $(c,z)\in \C^2$ such that $z$ is a preperiodic point of $f\_c$ with
preperiod $n$ and period $p$ ($n,p\geq1$). We prove that each
$\mathcal{X}\_{n,p}$ has exactly $d-1$ irreducible components, these components
are all smooth and intersect pairwisely at the singular points of
$\mathcal{X}\_{n,p}$. For each component, we calculate the genus of its
compactification and then give a complete topological description of
$\mathcal{X}\_{n,p}$. We also calculate the Galois group of the defining
polynomial of $\mathcal{X}\_{n,p}$.


title: The Ring of Polynomial Functors of Prime Degree

abstract:
  Let $\hat\Z_p$ be the ring of $p$-adic integers. We prove in the present
paper that the category of polynomial functors from finitely generated free
abelian groups to $\hat \Z_p$-modules of degree at most $p$ is equivalent to
the category of finitely generated modules over a particularly well understood
ring, called Green order. That this is the case was conjectured by Yuri Drozd.


title:
Integrative Analysis of Prognosis Data on Multiple Cancer Subtypes using
  Penalization

abstract:
  In cancer research, profiling studies have been extensively conducted,
searching for genes/SNPs associated with prognosis. Cancer is a heterogeneous
disease. Examining similarity and difference in the genetic basis of multiple
subtypes of the same cancer can lead to better understanding of their
connections and distinctions. Classic meta-analysis approaches analyze each
subtype separately and then compare analysis results across subtypes.
Integrative analysis approaches, in contrast, analyze the raw data on multiple
subtypes simultaneously and can outperform meta-analysis. In this study,
prognosis data on multiple subtypes of the same cancer are analyzed. An AFT
(accelerated failure time) model is adopted to describe survival. The genetic
basis of multiple subtypes is described using the heterogeneity model, which
allows a gene/SNP to be associated with the prognosis of some subtypes but not
the others. A compound penalization approach is developed to conduct gene-level
analysis and identify genes that contain important SNPs associated with
prognosis. The proposed approach has an intuitive formulation and can be
realized using an iterative algorithm. Asymptotic properties are rigorously
established. Simulation shows that the proposed approach has satisfactory
performance and outperforms meta-analysis using penalization. An NHL
(non-Hodgkin lymphoma) prognosis study with SNP measurements is analyzed. Genes
associated with the three major subtypes, namely DLBCL, FL, and CLL/SLL, are
identified. The proposed approach identifies genes different from alternative
analysis and has reasonable prediction performance.


title:
Firm's Information Environment and Stock Liquidity : Evidence from
  Tunisian Context,

abstract:
  This paper analyzes the relationship between public disclosure, private
information and stock liquidity in Tunisian context using a sample of 41 listed
firms in the Tunis Stock Exchange in 2007. First, we find no evidence that
there is a relation between public and private information. Second, Tunisian
investors do not trust the information disclosed in both annual reports and web
sites, consequently it has no effects on stock liquidity, in contrast with
private information.


title: Risk measures for processes and BSDEs

abstract:
  The paper analyzes risk assessment for cash flows in continuous time using
the notion of convex risk measures for processes. By combining a decomposition
result for optional measures, and a dual representation of a convex risk
measure for bounded \cd processes, we show that this framework provides a
systematic approach to the both issues of model ambiguity, and uncertainty
about the time value of money. We also establish a link between risk measures
for processes and BSDEs.


title:
Critical behaviour of the XY -rotors model on regular and small world
  networks

abstract:
  We study the XY-rotors model on small networks whose number of links scales
with the system size $N_{links}\sim N^{\gamma}$, where $1\le\gamma\le2$. We
first focus on regular one dimensional rings in the microcanonical ensemble.
For $\gamma<1.5$ the model behaves like short-range one and no phase transition
occurs. For $\gamma>1.5$, the system equilibrium properties are found to be
identical to the mean field, which displays a second order phase transition at
a critical energy density $\varepsilon=E/N, \varepsilon_{c}=0.75$. Moreover for
$\gamma_{c}\simeq1.5$ we find that a non trivial state emerges, characterized
by an infinite susceptibility. We then consider small world networks, using the
Watts-Strogatz mechanism on the regular networks parametrized by $\gamma$. We
first analyze the topology and find that the small world regime appears for
rewiring probabilities which scale as $p_{SW}\propto1/N^{\gamma}$. Then
considering the XY-rotors model on these networks, we find that a second order
phase transition occurs at a critical energy $\varepsilon_{c}$ which
logarithmically depends on the topological parameters $p$ and $\gamma$. We also
define a critical probability $p_{MF}$, corresponding to the probability beyond
which the mean field is quantitatively recovered, and we analyze its dependence
on $\gamma$.


title: The Upper Energy Limit of HBChPT in Pion Photoproduction

abstract:
  We assess the energy limit up to which Heavy Baryon Chiral Perturbation
Theory (HBChPT) can be applied to the process of neutral pion photoproduction
from the proton by analyzing the latest data collected by the MAMI/A2
collaboration at Mainz. The high-quality differential cross section and the
photon asymmetry measured data allow to test the theory at a level not
previously achieved. We find that, within the current experimental status, the
agreement between theory and experiment is excellent up to $\sim$170 MeV. Above
this energy HBChPT fails to provide high-quality fits while an empirical
parametrization of the multipoles still provides an excellent description of
the data.


title: The Expected Linkage Disequilibrium in Finite Populations Revisited

abstract:
  The expected level of linkage disequilibrium (LD) in a finite ideal
population at equilibrium is of relevance for many applications in population
and quantitative genetics. Several recursion formulae have been proposed during
the last decades, whose derivations mostly contain heuristic parts and
therefore remain mathematically questionable. We propose a more justifiable
approach, including an alternative recursion formula for the expected LD. Since
the exact formula depends on the distribution of allele frequencies in a very
complicated manner, we suggest an approximate solution and analyze its validity
extensively in a simulation study. Compared to the widely used formula of Sved,
the proposed formula performs better for all parameter constellations
considered. We then analyze the expected LD at equilibrium using the theory on
discrete-time Markov chains based on the linear recursion formula, with
equilibrium being defined as the steady-state of the chain, which finally leads
to a formula for the effective population size N_e. An additional analysis
considers the effect of non-exactness of a recursion formula on the
steady-state, demonstrating that the resulting error in expected LD can be
substantial. In an application to the HapMap data of two human populations we
illustrate the dependency of the N_e-estimate on the distribution of minor
allele frequencies (MAFs), showing that the estimated N_e can vary by up to 30%
when a uniform instead of a skewed distribution of MAFs is taken as a basis to
select SNPs for the analyses. Our analyses provide new insights into the
mathematical complexity of the problem studied.


title:
Quantum discord plays no distinguished role in characterization of
  complete positivity: Robustness of the traditional scheme

abstract:
  The traditional scheme for realizing open-system quantum dynamics takes the
initial state of the system-bath composite as a simple product. Currently,
however, the issue of system-bath initial correlations possibly affecting the
reduced dynamics of the system has been attracting considerable interest. The
influential work of Shabani and Lidar [PRL {\bf 102}, 100402 (2009)] famously
related this issue to quantum discord, a concept which has in recent years
occupied the centre-stage of quantum information theory and has led to several
fundamental results. They suggested that reduced dynamics is completely
positive if and only if the initial system-bath correlations have vanishing
quantum discord. Here we show that there is, within the Shabani-Lidar
framework, no scope for any distinguished role for quantum discord in respect
of complete positivity of reduced dynamics. Since most applications of quantum
theory to real systems rests on the traditional scheme, its robustness
demonstrated here could be of far-reaching significance.


title: Formes logarithmiques et feuilletages non dicritiques

abstract:
  For a codimension 1 holomorphic foliation $\mathcal F$ on $\mathbb P_{\mathbb
C}^{n}$ satisfying reasonable assumptions, there are estimations of the degree
of invariant hypersurfaces H in terms of the degree of $\mathcal F$ (Carnicer,
Cerveau-Lins Neto). In this paper we study the extremal case $deg H=deg\mathcal
F+2$ in the spirit of Brunella's results.


title:
The Firm Redshift Lower Limit of the Most Distant TeV-Detected Blazar
  PKS 1424+240

abstract:
  We present the redshift lower limit of z>0.6035 for the very-high-energy
(VHE; E>100 GeV) emitting blazar PKS 1424+240 (PG 1424+240). This limit is
inferred from Lyman beta and gamma absorption observed in the far-ultraviolet
spectra from the Hubble Space Telescope/Cosmic Origins Spectrograph. No
VHE-detected blazar has shown solid spectroscopic evidence of being more
distant. At this distance, VHE observations by VERITAS are shown to sample
historically large gamma-ray opacity values at 500 GeV, extending beyond tau=4
for low-level models of the extragalactic background light (EBL) and beyond
tau=5 for high-levels. The majority of the z=0.6035 absorption-corrected VHE
spectrum appears to exhibit a lower flux than an extrapolation of the
contemporaneous LAT power-law fit beyond 100 GeV. However, the highest energy
VERITAS point is the only point showing agreement with this extrapolation,
possibly implying the overestimation of the gamma-ray opacity or the onset of
an unexpected VHE spectral feature. A curved log parabola is favored when
fitting the full range of gamma-ray data (0.5 to 500 GeV). While fitting the
absorption-corrected VHE data alone results in a harder differential power law
than that from the full range, the indices derived using three EBL models are
consistent with the physically motivated limit set by Fermi acceleration
processes.


title:
GEMINI: integrative exploration of genetic variation and genome
  annotations

abstract:
  Modern DNA sequencing technologies enable geneticists to rapidly identify
genetic variation among many human genomes. However, isolating the minority of
variants underlying disease remains an important, yet formidable challenge for
medical genetics. We have developed GEMINI (GEnome MINIng), a flexible software
package for exploring all forms of human genetic variation. Unlike existing
tools, GEMINI integrates genetic variation with a diverse and flexible set of
genome annotations (e.g., dbSNP, ENCODE, UCSC, ClinVar, KEGG) into a unified
database to facilitate interpretation and data exploration. Whereas other
methods provide an inflexible set of variant filters or variant prioritization
methods, GEMINI allows researchers to compose complex queries based on sample
genotypes, inheritance patterns, and both pre-installed and custom genome
annotations. GEMINI also provides methods for ad hoc queries and data
exploration, a simple programming interface for custom analyses that leverage
the underlying database, and both command line and graphical tools for common
analyses. We demonstrate the utility of GEMINI for exploring variation in
personal genomes and family based genetic studies, and illustrate its ability
to scale to studies involving thousands of human samples. GEMINI is designed
for reproducibility and flexibility and our goal is to will provide researchers
with a standard framework for medical genomics.


title:
Guaranteed epsilon-optimal treatment plans with minimum number of beams
  for stereotactic body radiation therapy

abstract:
  Stereotactic body radiotherapy (SBRT) is characterized by delivering a high
amount of dose in a short period of time. In SBRT the dose is delivered using
open fields (e.g., beam's-eye-view) known as "apertures". Mathematical methods
can be used for optimizing treatment planning for delivery of sufficient dose
to the cancerous cells while keeping the dose to surrounding organs at risk
(OARs) minimal. Two important elements of a treatment plan are quality and
delivery time. Quality of a plan is measured based on the target coverage and
dose to OARs. Delivery time heavily depends on the number of beams used in the
plan since the setup times for different beam directions constitute a large
portion of the delivery time. Therefore the ideal plan, in which all potential
beams can be used simultaneously, will be associated with a long impractical
delivery time. We use the dose to OARs in the ideal plan to find the plan with
the minimum number of beams which is guaranteed to be epsilon-optimal (i.e., a
predetermined maximum deviation from the ideal plan is guaranteed). Since the
treatment plan optimization is inherently a multicriteria optimization problem,
the planner can navigate the ideal dose distribution Pareto surface and select
a plan of desired target coverage versus OARs sparing, and then use the
proposed technique to reduce the number of beams while guaranteeing
epsilon-optimality. We use mixed integer programming (MIP) for optimization. To
reduce the computation time for the resultant MIP, we use two heuristics: a
beam elimination scheme and a family of heuristic cuts, known as "neighbor
cuts", based on the concept of "adjacent beams". We show the effectiveness of
the proposed solution technique on two clinical cases, a liver and a lung case.
Based on our technique we propose an algorithm for fast generation of
epsilon-optimal plans.


title: Equivariant principal bundles and their classifying spaces

abstract:
  We consider \Gamma-equivariant principal G-bundles over proper
\Gamma-CW-complexes with prescribed family of local representations. We
construct and analyze their classifying spaces for locally compact, second
countable topological groups with finite covering dimension \Gamma and G such
that G is almost connected.


title: Graphene Unit Cell Imaging by Holographic Coherent Diffraction

abstract:
  We have imaged a freestanding graphene sheet of 210 nm in diameter with 2
Angstrom resolution by combining coherent diffraction and holography with
low-energy electrons. The entire sheet is reconstructed from just a single
diffraction pattern displaying the arrangement of 660.000 individual graphene
unit cells at once. Given the fact that electrons with kinetic energies of the
order of 100 eV do not damage biological molecules, it will now be a matter to
develop methods for depositing individual proteins onto such graphene sheets.


title: On the Fibonacci complex dynamical systems

abstract:
  We consider in this paper a sequence of complex analytic functions
constructed by the following procedure $f_n(z)=f_{n-1}(z)f_{n-2}(z)+c$, where
$c\in\C$ is a parameter. Our aim is to give a thorough dynamical study of this
family, in particular we are able to extend the familiar notions of Julia sets
and Green function and to analyze their properties. As a consequence, we extend
some well-known results. Finally we study in detail the case where $c$ is
small.


title:
On the Generalized Hermite-Based Lattice Boltzmann Construction, Lattice
  Sets, Weights, Moments, Distribution Functions and High-Order Models

abstract:
  The influence of the use of the generalized Hermite polynomial on the
Hermite-based lattice Boltzmann (LB) construction approach, lattice sets, the
thermal weights, moments and the equilibrium distribution function (EDF) are
addressed. A new moment system is proposed. The theoretical possibility to
obtain a high-order Hermite-based LB model capable to exactly match some first
hydrodynamic moments thermally 1) on-Cartesian lattice, 2) with thermal weights
in the EDF, 3) whilst the highest possible hydrodynamic moments that are
exactly matched are obtained with the shortest on-Cartesian lattice sets with
some fixed real-valued temperatures, is also analyzed.
  Keywords: Lattice Boltzmann, fluid dynamics, kinetic theory, distribution
function


title: The Hubble Space Telescope Treasury Program on the Orion Nebula Cluster

abstract:
  The Hubble Space Telescope (HST) Treasury Program on the Orion Nebula Cluster
has used 104 orbits of HST time to image the Great Orion Nebula region with the
Advanced Camera for Surveys (ACS), the Wide-Field/Planetary Camera 2 (WFPC2)
and the Near Infrared Camera and Multi Object Spectrograph (NICMOS) instruments
in 11 filters ranging from the U-band to the H-band equivalent of HST. The
program has been intended to perform the definitive study of the stellar
component of the ONC at visible wavelengths, addressing key questions like the
cluster IMF, age spread, mass accretion, binarity and cirumstellar disk
evolution. The scanning pattern allowed to cover a contiguous field of
approximately 600 square arcminutes with both ACS and WFPC2, with a typical
exposure time of approximately 11 minutes per ACS filter, corresponding to a
point source depth AB(F435W) = 25.8 and AB(F775W)=25.2 with 0.2 magnitudes of
photometric error. We describe the observations, data reduction and data
products, including images, source catalogs and tools for quick look preview.
In particular, we provide ACS photometry for 3399 stars, most of them detected
at multiple epochs, WFPC2 photometry for 1643 stars, 1021 of them detected in
the U-band, and NICMOS JH photometry for 2116 stars. We summarize the early
science results that have been presented in a number of papers. The final set
of images and the photometric catalogs are publicly available through the
archive as High Level Science Products at the STScI Multimission Archive hosted
by the Space Telescope Science Institute.


title: Multiplicative structures on algebraic K-theory

abstract:
  Algebraic K-theory is the stable homotopy theory of homotopy theories, and it
interacts with algebraic structures accordingly. In particular, we prove the
Deligne Conjecture for algebraic K-theory.


title:
Studying a Technical scheme for Accurate Measurement of Gravity Waves
  Momentum

abstract:
  In spite of all the attempts conducted to improve the accuracy of the gravity
wave detectors in recent years, no method has been successful to measure these
waves up to now. Most of these detectors and laser interferometers work based
on the position measurement, because the use of such kind of measurement leads
to decreasing the accuracy of measurement, since it contributes to main
problems such as requiring strong interaction among different components of the
system. Maybe the main cause of failing is applying this kind of measurement. A
method in improving the accuracy of these detectors and decreasing such
problems is applying the momentum measurement. At present, no practical way to
measure momentum, in this paper, a theoretical scheme is presented to measure
momentum.


title:
Superconducting properties of the In substituted Topological Crystalline
  Insulator, SnTe

abstract:
  We report detailed investigations of the properties of a superconductor
obtained by substituting In at the Sn site in the topological crystalline
insulator (TCI), SnTe. Transport, magnetization and heat capacity measurements
have been performed on crystals of Sn0.6In0.4Te, which is shown to be a bulk
superconductor with Tc(onset) at ~4.70(5) K and Tc(zero) at ~3.50(5) K. The
upper and lower critical fields are estimated to be {\mu}0Hc2(0) = 1.42(3) T
and {\mu}0Hc1(0) = 0.90(3) mT respectively, while {\kappa} = 56.4(8) indicates
this material is a strongly type II superconductor.


title: Neutrino Democratic Masses, Mixing and Incoherence

abstract:
  It is shown that the well established and confirmed neutrino experimental
results, such as atmospheric neutrino oscillations and solar neutrino deficit,
can be easily explained for "democratic" left-handed Majorana neutrinos, taking
into account the effect of incoherence. In this model the absolute values of
the neutrino masses can be extracted from the atmospheric neutrino oscillation
data, which gives the mass spectrum close to {0.03 eV, 0.03 eV, 0.06 eV}. The
predictions of the considered model and its further testing are discussed.


title: Torus action on the moduli spaces of plane sheaves

abstract:
  We describe the torus fixed locus of the moduli space of stable sheaves with
Hilbert polynomial $4m+1$ on the projective plane. We determine the torus
representation of the tangent spaces at the fixed points, which leads to the
computation of the Betti and Hodge numbers of the moduli space.


title: Geometrical and transport properties of sequential adsorption clusters

abstract:
  We investigate transport properties of percolating clusters generated by
irreversible cooperative sequential adsorption (CSA) on square lattices with
Arrhenius rates given by ki= q^(ni), where ni is the number of occupied
neighbors of the site i, and q a controlling parameter. Our results show a
dependence of the prefactors on q and a strong finite size effect for small
values of this parameter, both impacting the size of the backbone and the
global conductance of the system. These results might be pertinent to practical
applications in processes involving adsorption of particles.


title:
Staggered-Ladder Quasienergy Spectra for Generic Quasimomentum and
  Quantum-Dynamical Manifestations

abstract:
  A new kind of regular quasienergy (Floquet) spectrum is found for the
generalized kicked particle under quantum-resonance conditions at generic
quasimomentum, a quantity most relevant in atom-optics experimental
realizations of kicked-rotor systems. The new non-Poisson regular spectrum has
the structure of a staggered ladder, i.e., it is the superposition of a finite
number of ladder subspectra all having the same spacing, which is independent
of the nonintegrability of the system. This spectral structure is shown to have
distinct quantum-dynamical manifestations: A suppression of quantum resonances
and a novel type of dynamical localization characterized by unique features
such as traveling-wave components in the time evolution. These phenomena are
found to be robust under small variations of the quasimomentum and should
therefore be experimentally observable using Bose-Einstein condensates with
sufficiently small quasimomentum width.


title:
Interplay of pH and Binding of Multivalent Metal Ions: Charge Inversion
  and Reentrant Condensation in Protein Solutions

abstract:
  Tuning of protein surface charge is a fundamental mechanism in biological
systems. Protein charge is regulated in a physiological context by pH and
interaction with counterions. We report on charge inversion and the related
reentrant condensation in solutions of globular proteins with different
multivalent metal cations. In particular, we focus on the changes in phase
behavior and charge regulation due to pH effects caused by hydrolysis of metal
ions. For several proteins and metal salts, charge inversion as measured by
electrophoretic light scattering is found to be a universal phenomenon, the
extent of which is dependent on the specific protein-salt combination.
Reentrant phase diagrams show a much narrower phase-separated regime for acidic
salts such as AlCl3 and FeCl3 compared to neutral salts such as YCl3 or LaCl3 .
The differences between acidic and neutral salts can be explained by the
interplay of pH effects and binding of the multivalent counterions. The
experimental findings are reproduced with good agreement by an analytical model
for protein charging taking into account ion condensation, metal ion hydrolysis
and interaction with charged amino acid side chains on the protein surface.
Finally, the relationship of charge inversion and reentrant condensation is
discussed, suggesting that pH variation in combination with multivalent cations
provides control over both attractive and repulsive interactions between
proteins.


title:
Nonadiabatic tunneling in circularly polarized laser fields. III.
  Comparison with experiment

abstract:
  We compare results of the recent experiment by Herath et al [T. Herath, L.
Yan, S. K. Lee, and W. Li, Phys. Rev. Lett. 109, 043004 (2012)] on strong-field
nonadiabatic tunneling in circularly polarized laser fields with the original
predictions of our theory [I. Barth and O. Smirnova, Phys. Rev A 84, 063415
(2011)] that stimulated these experiments. We show that the theory and
experiment are in very good agreement. We also explain why the initial
comparison performed by Herath et al [T. Herath, L. Yan, S. K. Lee, and W. Li,
Phys. Rev. Lett. 109, 043004 (2012)] has suggested quantitative discrepancies
with our theory. We confirm that these seeming discrepancies are removed with
an accurate application of our theoretical model. We suggest an experiment for
unique determination of the ionization preference of valence orbitals p+ or p-.


title:
The Analysis of Tribal Art Prices: a Multilevel Model with
  Autoregressive Components

abstract:
  In this paper we propose a multilevel model specification with time series
components for the analysis of prices of artworks sold at auctions. Since
auction data do not constitute a panel or a time series but are composed of
repeated cross-sections they require a specification with items at the first
level nested in time points. An original feature of our approach is the
derivation of full maximum likelihood estimators through the E-M algorithm. The
data analysed come from the first database of ethnic artworks sold in the most
important auctions worldwide. The results show that the new specification
improves considerably over existing proposals both in terms of fit and
prediction.


title: Circular Surfaces $\mathcal {CS}(\alpha,p)$

abstract:
  In this paper we define and construct a new class of algebraic surfaces in
three-dimensional Euclidean space generated by a curve and a congruence of
circles. We study their properties and visualize them with the program
Mathematica.


title:
Transmission of phase information between electrons and holes in
  graphene

abstract:
  We have studied quantum interference between electrons and holes in a
split-ring gold interferometer with graphene arms, one of which contained a pn
junction. The carrier type, the pn junction and the phase of the oscillations
in a magnetic field were controlled by a top gate placed over one of the arms.
We observe clear Aharonov-Bohm oscillations at the Dirac point and away from
it, regardless of the carrier type in each arm. We also find clear oscillations
when one arm of the interferometer contains a single pn junction, allowing us
to study the interplay of Aharonov-Bohm effect and Klein tunneling.


title: General Overview of Black Hole Accretion Theory

abstract:
  I provide a broad overview of the basic theoretical paradigms of black hole
accretion flows. Models that make contact with observations continue to be
mostly based on the four decade old alpha stress prescription of Shakura &
Sunyaev (1973), and I discuss the properties of both radiatively efficient and
inefficient models, including their local properties, their expected stability
to secular perturbations, and how they might be tied together in global flow
geometries. The alpha stress is a prescription for turbulence, for which the
only existing plausible candidate is that which develops from the
magnetorotational instability (MRI). I therefore also review what is currently
known about the local properties of such turbulence, and the physical issues
that have been elucidated and that remain uncertain that are relevant for the
various alpha-based black hole accretion flow models.


title: SOAR Adaptive Optics Observations of the Globular Cluster NGC6496

abstract:
  We present high-quality BVRI photometric data in the field of globular
cluster NGC 6496 obtained with the SOAR Telescope Adaptive Module (SAM). Our
observations were collected as part of the ongoing SAM commissioning. The
distance modulus and cluster color excess as found from the red clump is $\mMv
= 15.71 \pm 0.02$\,mag and $\EVI = 0.28 \pm 0.02$\,mag. An age of $10.5 \pm
0.5$\,Gyr is determined from the difference in magnitude between the red clump
and the subgiant branch. These parameters are in excellent agreement with the
values derived from isochrone fitting. From the color-magnitude diagram we find
a metallicity of $\feh = -0.65$\,dex and hence support a disk classification
for NGC 6496. The complete $BVRI$ data set for NGC 6469 is made available in
the electronic edition of the Journal.


title: Star formation in the luminous YSO IRAS 18345-0641

abstract:
  Aims: We aim to understand the star formation associated with the luminous
young stellar object (YSO) IRAS 18345-0641 and to address the complications
arising from unresolved multiplicity in interpreting the observations of
massive star-forming regions.
  Methods: New infrared imaging data at sub-arcsec spatial resolution are
obtained for IRAS 18345-0641. The new data are used along with mid- and far-IR
imaging data, and CO (J=3-2) spectral line maps downloaded from archives to
identify the YSO and study the properties of the outflow. Available
radiative-transfer models are used to analyze the spectral energy distribution
(SED) of the YSO.
  Results: Previous tentative detection of an outflow in the H_2 (1-0) S1 line
(2.122 micron) is confirmed through new and deeper observations. The outflow
appears to be associated with a YSO discovered at infrared wavelengths. At high
angular resolution, we see that the YSO is probably a binary. The CO (3--2)
lines also reveal a well defined outflow. Nevertheless, the direction of the
outflow deduced from the H_2 image does not agree with that mapped in CO. In
addition, the age of the YSO obtained from the SED analysis is far lower than
the dynamical time of the outflow. We conclude that this is probably caused by
the contributions from a companion. High-angular-resolution observations at
mid-IR through mm wavelengths are required to properly understand the complex
picture of the star formation happening in this system, and generally in
massive star forming regions, which are located at large distances from us.


title: 125 GeV Technidilaton at the LHC

abstract:
  The technidilaton (TD) is a composite scalar predicted in walking technicolor
(WTC), arising as a pseudo Nambu-Goldstone boson associated with the
spontaneous breaking of the approximate scale invariance. Due to the
Nambu-Goldstone boson's nature, the TD can be as light as the LHC boson that
has been discovered at around 125 GeV. We discuss the size of the TD mass and
the coupling properties relevant to the LHC study. It turns out that the TD
couplings to the standard model (SM) particles take the same form as those of
the SM Higgs boson, except the essentially distinguishable two ingredients: i)
the overall coupling strengths set by the decay constant related to the
spontaneous breaking of the scale invariance, which is in general not equal to
the electroweak scale; ii) the couplings to photons and gluons which can
include extra contributions from technifermion loops and hence can be enhanced
compared to the SM Higgs case. To be concrete, we take the one-family
technicolor model to explore the TD LHC phenomenology at 125 GeV. It is shown
that the TD gives the signal consistent with the currently reported LHC data,
notably can explain the excess in the diphoton channel, due to the extra
contributions to digluon and diphoton couplings coming from the one-family
technifermion loops.


title:
Existence of strictly positive solutions for sublinear elliptic problems
  in bounded domains

abstract:
  Let $\Omega$ be a smooth bounded domain in $\mathbb{R}^{N}$ and let $m$ be a
possibly discontinuous and unbounded function that changes sign in $\Omega$.
Let $f:\left[ 0,\infty\right) \rightarrow\left[ 0,\infty\right) $ be a
continuous function such that $k_{1}\xi^{p}\leq f\left(\xi\right) \leq
k_{2}\xi^{p}$ for all $\xi\geq0$ and some $k_{1},k_{2}>0$ and
$p\in\left(0,1\right) $. We study existence and nonexistence of strictly
positive solutions for nonlinear elliptic problems of the form $-\Delta
u=m\left(x\right) f\left(u\right) $ in $\Omega$, $u=0$ on $\partial\Omega$.


title:
Existence, Stability and Bifurcation of Random Complete and Periodic
  Solutions of Stochastic Parabolic Equations

abstract:
  In this paper, we study the existence, stability and bifurcation of random
complete and periodic solutions for stochastic parabolic equations with
multiplicative noise. We first prove the existence and uniqueness of tempered
random attractors for the stochastic equations and characterize the structures
of the attractors by random complete solutions. We then examine the existence
and stability of random complete quasi-solutions and establish the relations of
these solutions and the structures of tempered attractors. When the stochastic
equations are incorporated with periodic forcing, we obtain the existence and
stability of random periodic solutions. For the stochastic Chafee-Infante
equation, we further establish the multiplicity and stochastic bifurcation of
complete and periodic solutions.


title:
Homological properties of quantised Borel-Schur algebras and resolutions
  of quantised Weyl modules

abstract:
  We continue the development of the homological theory of quantum general
linear groups previously considered by the first author. The development is
used to transfer information to the representation theory of quantised Schur
algebras. The acyclicity of induction from some rank-one modules for quantised
Borel-Schur subalgebras is deduced. This is used to prove the exactness of the
complexes recently constructed by Boltje and Maisch, giving resolutions of the
co-Specht modules for Hecke algebras.


title: Heteronuclear diatomics in diffuse and translucent clouds

abstract:
  Diffuse and translucent molecular clouds fill a vast majority of the
interstellar space in the galactic disk being thus the most typical objects of
the Interstellar Medium (ISM). Recent advances in observational techniques of
modern optical and ultraviolet spectroscopy led to detection of many features
of atomic and molecular origin in spectra of such clouds. Molecular spectra of
heteronuclear diatomic molecules, ie. OH, OH+, CH CH+, CN, NH, CO play an
important role in understanding chemistry and physical conditions in
environments they do populate. A historical review of astronomical observations
of interstellar molecules is presented. Recent results based on visual and
ultraviolet observations of molecular features in spectra of reddened, early
type OB-stars are presented and discussed. Appearance of vibrational-rotational
spectra with observed transitions based on high-quality spectra, are also
presented. Relations between column densities of heteronuclear diatomics (based
on the recommended oscillator strengths) and intensities of diffuse
interstellar bands (DIBs) are also presented and discussed.


title: Radiation of tunnel electron

abstract:
  The photorecombination radiation on a neighbor center of an electron ionized
in the nonlinear tunneling regime is discussed. In the framework of the active
electron model an analytical solution of the problem has been obtained. The
analytical solution for distribution of the radiation energy spectrum has been
derived both for one and three dimension problems. The optimal parameters of
the field and the distance between quantum wells for a process of effective
photorecombination with a broad spectrum have been formulated.


title: Generalized Multiscale Finite Element Methods. Oversampling Strategies

abstract:
  In this paper, we propose oversampling strategies in the Generalized
Multiscale Finite Element Method (GMsFEM) framework. The GMsFEM, which has been
recently introduced in [12], allows solving multiscale parameter-dependent
problems at a reduced computational cost by constructing a reduced-order
representation of the solution on a coarse grid. The main idea of the method
consists of (1) the construction of snapshot space, (2) the construction of the
offline space, and (3) construction of the online space (the latter for
parameter-dependent problems). In [12], it was shown that the GMsFEM provides a
flexible tool to solve multiscale problems with a complex input space by
generating appropriate snapshot, offline, and online spaces. In this paper, we
develop oversampling techniques to be used in this context (see [19] where
oversampling is introduced for multiscale finite element methods). It is known
(see [19]) that the oversampling can improve the accuracy of multiscale
methods. In particular, the oversampling technique uses larger regions (larger
than the target coarse block) in constructing local basis functions. Our
motivation stems from the analysis presented in this paper which show that when
using oversampling techniques in the construction of the snapshot space and
offline space, GMsFEM will converge independent of small scales and
high-contrast under certain assumptions. We consider the use of multiple
eigenvalue problem to improve the convergence and discuss their relation to
single spectral problems that use oversampled regions. The oversampling
procedures proposed in this paper differ from those in [19]. In particular, the
oversampling domains are partially used in constructing local spectral
problems. We present numerical results and compare various oversampling
techniques in order to complement the proposed technique and analysis.


title: Hands-free Evolution of 3D-printable Objects via Eye Tracking

abstract:
  Interactive evolution has shown the potential to create amazing and complex
forms in both 2-D and 3-D settings. However, the algorithm is slow and users
quickly become fatigued. We propose that the use of eye tracking for
interactive evolution systems will both reduce user fatigue and improve
evolutionary success. We describe a systematic method for testing the
hypothesis that eye tracking driven interactive evolution will be a more
successful and easier-to-use design method than traditional interactive
evolution methods driven by mouse clicks. We provide preliminary results that
support the possibility of this proposal, and lay out future work to
investigate these advantages in extensive clinical trials.


title:
Generalized Orthogonal Components Regression for High Dimensional
  Generalized Linear Models

abstract:
  Here we propose an algorithm, named generalized orthogonal components
regression (GOCRE), to explore the relationship between a categorical outcome
and a set of massive variables. A set of orthogonal components are sequentially
constructed to account for the variation of the categorical outcome, and
together build up a generalized linear model (GLM). This algorithm can be
considered as an extension of the partial least squares (PLS) for GLMs, but
overcomes several issues of existing extensions based on iteratively reweighted
least squares (IRLS). First, existing extensions construct a different set of
components at each iteration and thus cannot provide a convergent set of
components. Second, existing extensions are computationally intensive because
of repetitively constructing a full set of components. Third, although they
pursue the convergence of regression coefficients, the resultant regression
coefficients may still diverge especially when building logistic regression
models. GOCRE instead sequentially builds up each orthogonal component upon
convergent construction, and simultaneously regresses against these orthogonal
components to fit the GLM. The performance of the new method is demonstrated by
both simulation studies and a real data example.


title:
Neutrino Absorption in the Earth, Neutrino Cross-Sections, and New
  Physics

abstract:
  Large neutrino telescopes can measure the neutrino-nucleon cross-section by
studying neutrino absorption in the Earth.


title:
An evolutionary model for the gamma-ray system PSR J1311-3430 and its
  companion

abstract:
  The most recent member of the millisecond pulsar with very low-mass
companions and short orbital periods class, PSR J1311-3430 (Pletsch et al.
2012) is a remarkable object in various senses. Besides being the first
discovered in gamma-rays, its measured features include the very low or absent
hydrogen content. We show in this Letter that this important piece of
information leads to a very restricted range of initial periods for a given
donor mass. For that purpose, we calculate in detail the evolution of the
binary system self-consistently, including mass transfer and evaporation,
finding the features of the new evolutionary path leading to the observed
configuration. It is also important to remark that the detailed evolutionary
history of the system naturally leads to a high final pulsar mass, as it seems
to be demanded by observations.


title: Formation control with binary information

abstract:
  In this paper, we study the problem of formation keeping of a network of
strictly passive systems when very coarse information is exchanged. We assume
that neighboring agents only know whether their relative position is larger or
smaller than the prescribed one. This assumption results in very simple control
laws that direct the agents closer or away from each other and take values in
finite sets. We show that the task of formation keeping while tracking a
desired trajectory and rejecting matched disturbances is still achievable under
the very coarse information scenario. In contrast with other results of
practical convergence with coarse or quantized information, here the control
task is achieved exactly.


title:
Some Hadamard like inequalities via convex and s-convex functions and
  their applications for special means

abstract:
  In this study, the author establish some inequalities of Hadamard like based
on convex and s-convexity in the second sense. Some applications to special
means of positive real numbers are also given.


title:
Pore-scale modeling of fluid-particles interaction and emerging
  poromechanical effects

abstract:
  A micro-hydromechanical model for granular materials is presented. It
combines the discrete element method (DEM) for the modeling of the solid phase
and a pore-scale finite volume (PFV) formulation for the flow of an
incompressible pore fluid. The coupling equations are derived and contrasted
against the equations of conventional poroelasticity. An analogy is found
between the DEM-PFV coupling and Biot's theory in the limit case of
incompressible phases. The simulation of an oedometer test validates the
coupling scheme and demonstrates the ability of the model to capture strong
poromechanical effects. A detailed analysis of microscale strain and stress
confirms the analogy with poroelasticity. An immersed deposition problem is
finally simulated and shows the potential of the method to handle phase
transitions.


title: Higher Spin Fields and Symplectic Geometry

abstract:
  We argue that higher spin fields originate from Hamiltonian mechanics and
play a role of gauge fields ensuring covariance of geometric observables such
as length and volume with respect to canonical transformations in the same way
as a metric tensor in Riemannian geometry ensures covariance with respect to
diffeomorphisms. We consider a reparametrization invariant action of a point
particle in Hamiltonian form. Reparametrization invariance is achieved in the
standard way by coupling to the auxiliary world-line metric. Identifying
Hamiltonian function with a generating function for higher spin fields this
action can be viewed as an action for the point particle in a higher spin
background, while canonical transformations act as higher spin symmetries. We
define the gauge invariant length as a proper time of a particle moving along
the geodesic. Following the usual geometrical interpretation we introduce the
volume form and the scalar curvature for a combined lower spin sector. As for
the general case, we show that notions of local volume and scalar curvature are
not compatible with symplectic transformations. We propose symplectically
invariant counterparts for the total volume of the space and Einstein-Hilbert
action.


title:
Phase-space for the breakdown of the quantum Hall effect in epitaxial
  graphene

abstract:
  We report the phase-space defined by the quantum Hall effect breakdown in
polymer gated epitaxial graphene on SiC (SiC/G) as a function of temperature,
current, carrier density, and magnetic fields up to 30T. At 2K breakdown
currents ($I_c$) almost two orders of magnitude greater than in GaAs devices
are observed. The phase boundary of the dissipationless state ($\rho_{xx}=0$)
shows a (1-$(T/T_c)^2$) dependence and persists up to $T_c>45K$ at 29T. With
magnetic field $I_c$ was found to increase $\propto B^{3/2}$ and $T_c \propto
B^{1.88}$. As the Fermi energy approaches the Dirac point, the $\nu=2$
quantized Hall plateau appears continuously from fields as low as 1T up to at
least 19T due to a strong magnetic field dependence of the carrier density.


title: Spherical quadratic equations in free metabelian groups

abstract:
  We prove that the Diophantine problem for spherical quadratic equations in
free metabelian groups is solvable and, moreover, NP-complete


title: Long baseline neutrino beams at Fermilab

abstract:
  Fermilab has had a very active long baseline neutrino program since
initiation of the NuMI project in 1998. Commissioned in 2005, the NuMI beam
with 400 kW design power has been in operation for the MINOS neutrino
oscillation program since that time. Upgrade of NuMI to 700 kW for NOvA is now
well advanced, with implementation of the beam upgrades to be accomplished in
2012-2013. Design development for the next generation LBNE neutrino beam is now
a major ongoing effort. We report here salient features and constraints for
each of these beams, as well as significant challenges both experienced and
expected.


title: Fermion Bag Approach to Fermion Sign Problems

abstract:
  The fermion bag approach is a new method to tackle fermion sign problems in
lattice field theories. Using this approach it is possible to solve a class of
sign problems that seem unsolvable by traditional methods. The new solutions
emerge when partition functions are written in terms of fermion bags and
bosonic worldlines. In these new variables it is possible to identify hidden
pairing mechanisms which lead to the solutions. The new solutions allow us for
the first time to use Monte Carlo methods to solve a variety of interesting
lattice field theories, thus creating new opportunities for understanding
strongly correlated fermion systems.


title:
Lifetime and fragment correlations for the two-neutron decay of $^{26}$O
  ground state

abstract:
  The structure and decay of $^{26}$O are investigated in a three-body
$^{24}$O+$n+n$ model suitable for studies of the long-lived (including
radioactivity timescale) states. We have found extremely strong effect of the
subbarrier configuration mixing on the decay width of true $2n$ emitters due to
core recoil and neutron-neutron final state interaction. This effect is far
exceeding analogous effect in the true $2p$ emitters. Our calculations provide
reasonably narrow boundaries for the lifetime vs.\ decay energy dependence for
the true $2n$ emission. An upper limit of $\sim 1$ keV for the decay energy of
the unbound $^{26}$O is inferred based on the recent experimental lifetime
value.


title:
Theoretical characterization of excitation energy transfer in chlorosome
  light-harvesting antennae from green sulfur bacteria

abstract:
  Chlorosomes are the largest and most efficient natural light-harvesting
antenna systems. They contain thousands of pigment molecules -
bacteriochlorophylls (BChls)- that are organized into supramolecular aggregates
and form a very efficient network for excitonic energy migration. Here, we
present a theoretical study of excitation energy transfer (EET) in the
chlorosome based on experimental evidence of the molecular assembly. Our model
for the exciton dynamics throughout the antenna combines a stochastic time
propagation of the excitonic wave function with molecular dynamics simulations
of supramolecular structure, and electronic structure calculations of the
excited states. The simulation results reveal a detailed picture of the EET in
the chlorosome. Coherent energy transfer is significant only for the first 50
fs after the initial excitation, and the wavelike motion of the exciton is
completely damped at 100 fs. Characteristic time constants of incoherent energy
transfer, subsequently, vary from 1 ps to several tens of ps. We assign the
time scales of the EET to specific physical processes by comparing our results
with the data obtained from time-resolved spectroscopy experiments.


title: Highlights from VERITAS on VHE Gamma-ray Sources in our Galaxy

abstract:
  VERITAS is a major ground-based detector of very high energy (VHE, E > 100
GeV) gamma rays and cosmic rays. VERITAS consists of an ar- ray of four
12m-diameter atmospheric Cherenkov telescopes that has been fully operational
since September 2007. VERITAS has detected many as- trophysical sources of VHE
gamma rays, including at least 17 VHE sources that are likely Galactic in
origin. This paper describes some of the Galactic source highlights from
VERITAS with an emphasis on those aspects that relate to the origin of cosmic
rays. Specifically, topics include the VERITAS discovery of VHE emission from
the Tycho and CTA 1 supernova remnants, the identification of HESS J0632+057 as
a new VHE binary, a substantially improved view of the gamma-ray emission in
the Cygnus OB1 region, and the recent remarkable discovery of VHE emission from
the Crab pulsar. In 2009, VERITAS was upgraded by relocation of one of the
telescopes, leading to a significant improvement in sensitivity. A program to
further improve the performance of VERITAS, involving the upgrade of the
telescope trigger systems and the telescope cameras, was completed in summer
2012. The upgrade will lead to an improved sensitivity and a lower energy
threshold for VERITAS, allowing it to perform deeper observations of known
Galactic and extragalactic sources and to detect fainter and more distant
sources.


title: Limited measurement dependence in multiple runs of a Bell test

abstract:
  The assumption of free will - the ability of an experimentalist to make
random choices - is central to proving the indeterminism of quantum resources,
the primary tool in quantum cryptography. Relaxing the assumption in a Bell
test allows violation of the usual classical threshold by correlating the
random number generators used to select measurements with the devices that
perform them. In this paper, we examine not only these correlations, but those
across multiple runs of the experiment. This enables an explicit exposition of
the optimal cheating strategy and how the correlations manifest themselves
within this strategy. Similar to other recent results, we prove that there
remain Bell violations for a sufficiently high, yet non-maximal degree of free
will which cannot be simulated by a classical attack, regardless of how many
runs of the experiment those choices are correlated over.


title: Effect of charge on the dynamics of an acoustically forced bubble

abstract:
  The effect of charge on the dynamics of a gas bubble undergoing forced
oscillations in a liquid due to incidence of an ultrasonic wave is
theoretically investigated. The limiting values of the possible charge a bubble
may physically carry are obtained. The presence of charge influences the regime
in which the bubble's radial oscillations fall. The extremal compressive and
expansive dimensions of the bubble are also studied as a function of the
amplitude of the driving pressure. It is shown that the limiting value of the
bubble charge is dictated both by the minimal value reachable of the bubble
radius as well as the amplitude of the driving ultrasound pressure wave. A
non-dimensional ratio zeta is defined that is a comparative measure of the
extremal values the bubble can expand or contract to and find the existence of
an unstable regime for zeta as a function of the driving pressure amplitude,
Ps. This unstable regime is gradually suppressed with increasing bubble size.
The Blake and the upper transient pressure thresholds for the system are then
discussed.


title: Oscillation of high energy neutrinos in Choked GRBs

abstract:
  It is believed that choked gamma-ray bursts (CGRBs) are the potential
candidates for the production of high energy neutrinos in GeV-TeV energy range.
These CGRBs out number the successful GRBs by many orders. So it is important
to observe neutrinos from these cosmological objects with the presently
operating neutrino telescope IceCube. We study the three flavor neutrino
oscillation of these high energy neutrinos in the presupernova star environment
which is responsible for the CGRB. For the presupernova star we consider three
different models and calculate the neutrino oscillation probabilities, as well
as neutrino flux on the surface of these star. The matter effect modifies the
neutrino flux of different flavors on the surface of the star. We have also
calculated the flux of these high energy neutrinos on the surface of the Earth.
We found that for neutrino energies below \le 10 TeV the flux ratio does not
amount to 1:1:1, whereas for higher energy neutrinos it does.


title: The Mar\v{c}enko-Pastur law for sparse random bipartite biregular graphs

abstract:
  We prove that the empirical spectral distribution of a (d_L, d_R)-biregular,
bipartite random graph, under certain conditions, converges to a symmetrization
of the Mar\v{c}enko-Pastur distribution of random matrix theory. This
convergence is not only global (on fixed-length intervals) but also local (on
intervals of increasingly smaller length). Our method parallels the one used
previously by Dumitriu and Pal (2012).


title:
A numerical procedure for model reduction using the generalized Langevin
  equation formalism

abstract:
  The Zwanzig-Mori pro jection formalism is widely used in studying systems
with many degrees of freedom. Recently Xing and Kim used the pro jection
formalism and derived the generalized Langevin equations (GLEs) for a general
stochastic system not necessarily obeying detailed balance. In this study we
develop a numerical procedure to reconstruct the GLEs from data. Numerical
tests on two biological networks show remarkable agreement between the results
calculated from the reconstructed GLEs and those of full model simulations. We
suggest that the procedure can be applied in model reduction and a novel way of
nonlinear time series analysis.


title: Quantum Cherenkov Radiation and Non-contact Friction

abstract:
  We present a number of arguments to demonstrate that a quantum analog of
Cherenkov effect occurs when two dispersive objects are in relative motion.
Specifically we show that two semi-infinite plates experience friction beyond a
threshold velocity which, in their center-of-mass frame, is the phase speed of
light within their medium. The loss in mechanical energy is radiated away
through the plates before getting fully absorbed in the form of heat. By
deriving various correlation functions inside and outside the two plates, we
explicitly compute the radiation, and discuss its dependence on the reference
frame.


title: A Junction Tree Framework for Undirected Graphical Model Selection

abstract:
  An undirected graphical model is a joint probability distribution defined on
an undirected graph G*, where the vertices in the graph index a collection of
random variables and the edges encode conditional independence relationships
among random variables. The undirected graphical model selection (UGMS) problem
is to estimate the graph G* given observations drawn from the undirected
graphical model. This paper proposes a framework for decomposing the UGMS
problem into multiple subproblems over clusters and subsets of the separators
in a junction tree. The junction tree is constructed using a graph that
contains a superset of the edges in G*. We highlight three main properties of
using junction trees for UGMS. First, different regularization parameters or
different UGMS algorithms can be used to learn different parts of the graph.
This is possible since the subproblems we identify can be solved independently
of each other. Second, under certain conditions, a junction tree based UGMS
algorithm can produce consistent results with fewer observations than the usual
requirements of existing algorithms. Third, both our theoretical and
experimental results show that the junction tree framework does a significantly
better job at finding the weakest edges in a graph than existing methods. This
property is a consequence of both the first and second properties. Finally, we
note that our framework is independent of the choice of the UGMS algorithm and
can be used as a wrapper around standard UGMS algorithms for more accurate
graph estimation.


title:
Strain-induced isosymmetric ferri-to-ferroelectric transition with large
  piezoelectricity

abstract:
  We identify a first-order, isosymmetric transition between a ferrielectric
(FiE) and ferroelectric (FE) state in $A$-site ordered LaScO$_{3}$/BiScO$_{3}$
and LaInO$_{3}$/BiInO$_{3}$ superlattices. Such a previously unreported ferroic
transition is driven by the easy switching of cation displacements without
changing the overall polarization direction or crystallographic symmetry.
Epitaxial strains less than 2% are predicted to be sufficient to transverse the
phase boundary, across which we capture a ~5X increase in electric
polarization. In a fashion similar to classic Pb-based perovskite ceramics with
a morphotropic phase boundary (MPB), we predict a large electromechanical
response up to 131 pC/N in the vicinity of FiE-FE phase boundary. We propose
this transition as alternative ferroic transition to obtain large
piezoelectricity, with the additional advantage of operating under extreme
conditions in benign chemistries and without chemical disorder.


title: Tambara Functors and Commutative Ring Spectra

abstract:
  It is well known that the zeroth stable homotopy group of a genuine
equivariant commutative ring spectrum has multiplicative transfers (norms),
making it into a Tambara functor. We prove here that all Tambara functors can
be obtained in this way. In fact, we prove that the homotopy category of
Eilenberg MacLane commutative ring spectra is equivalent to the category of
Tambara functors. Several algebraic results on Tambara functors are derived as
corollaries. Finally, we rule out the existence of a lax symmetric monoidal
construction for Eilenberg MacLane spectra when the group is nontrivial.


title: Entirety of cuspidal Eisenstein series on loop groups

abstract:
  In this paper, we prove the entirety of loop group Eisenstein series induced
from cusp forms on the underlying finite dimensional group, by demonstrating
their absolute convergence on the full complex plane. This is quite in contrast
to the finite-dimensional setting, where such series only converge absolutely
in a right half plane (and have poles elsewhere coming from $L$-functions in
their constant terms). Our result is the $\Q$-analog of a theorem of A.
Braverman and D. Kazhdan from the function field setting, who previously showed
the analogous Eisenstein series are finite sums.


title:
Momentum distribution of atoms in one-dimensional Raman cooling with
  arbitrary coherent population transfer

abstract:
  We derive an exact and analytical form for the cold-atom momentum
distribution after a large number of one-dimensional (1D) Raman cooling cycles
has been applied. Our result shows that one can select pulse profiles and
lengths rather freely in order to obtain efficient cooling. Our approach takes
into account optical pumping (resonant excitation followed by spontaneous
emission) as an intergral part of the process, and it is noted that it does not
affect the final momentum distribution. Thus subrecoil cooling is possible in
general, and not just for carefully selected combinations of pulse forms and
durations.


title: Forensic Analysis of Instant Messenger Applications on Android Devices

abstract:
  This paper focuses on conducting forensic data analysis of 2 widely used IMs
applications on Android phones WhatsApp and Viber. The tests and analysis were
performed with the aim of determining what data and information can be found on
the devices internal memory for instant messengers eg chat messaging logs and
history send & received image or video files etc. The experiments and results
show that heavy amount of potential evidences and valuable data can be found on
Android phones by forensic investigators.


title: Oscillatory dynamics of a charged microbubble under ultrasound

abstract:
  Nonlinear oscillations of a bubble carrying a constant charge and suspended
in a fluid, undergoing periodic forcing due to incident ultrasound are studied.
The system exhibits period-doubling route to chaos and the presence of charge
has the effect of advancing these bifurcations. The minimum magnitude of the
charge Qmin above which the bubble's radial oscillations can occur above a
certain velocity c1 is found to be related by a simple power law to the driving
frequency omega of the acoustic wave. We find the existence of a critical
frequency omega_H above which uncharged bubbles necessarily have to oscillate
at velocities below c1. We further find that this critical frequency crucially
depends upon the amplitude Ps of the driving acoustic pressure wave. The
temperature of the gas within the bubble is calculated. A critical value P_{tr}
of Ps equalling the upper transient threshold pressure demarcates two distinct
regions of omega dependence of the maximal radial bubble velocity v_{max} and
maximal internal temperature T_{max}. Above this pressure, T_{max} and v_{max}
decrease with increasing omega while below P_{tr}, they increase with omega.
The dynamical effects of the charge and of the driving pressure and frequency
of ultrasound on the bubble are discussed.


title: A note on quantization in the presence of gravitational shock waves

abstract:
  We study the quantization of a free scalar field when the background metric
satisfies Einstein's equations and develops gravitational shock waves.


title:
Classical and quantum higher order superintegrable systems from
  coalgebra symmetry

abstract:
  The N-dimensional generalization of Bertrand spaces as families of Maximally
superintegrable systems on spaces with nonconstant curvature is analyzed.
Considering the classification of two dimensional radial systems admitting 3
constants of the motion at most quadratic in the momenta, we will be able to
generate a new class of spherically symmetric M.S. systems by using a technique
based on coalgebra. The 3-dimensional realization of these systems provides the
entire classification of classical spherically symmetric M.S. systems admitting
periodic trajectories. We show that in dimension N > 2 these systems (classical
and quantum) admit, in general, higher order constants of motion and turn out
to be exactly solvable. Furthermore it is possible to obtain non radial M.S.
systems by introducing projection of the original radial system to a suitable
lower dimensional space.


title: On sofic monoids

abstract:
  We investigate the notion of soficity for monoids. A group is sofic as a
group if and only if it is sofic as a monoid. All finite monoids, all
commutative monoids, all free monoids, all cancellative one-sided amenable
monoids, all multiplicative monoids of matrices over a field, and all monoids
obtained by adjoining an identity element to a semigroup without identity
element are sofic. On the other hand, although the question of the existence of
a non-sofic group remains open, we prove that the bicyclic monoid is not sofic.
This shows that there exist finitely presented amenable inverse monoids that
are non-sofic.


title: A Practitioner's Guide to Multiple Testing Error Rates

abstract:
  It is quite common in modern research, for a researcher to test many
hypotheses. The statistical (frequentist) hypothesis testing framework, does
not scale with the number of hypotheses in the sense that naively performing
many hypothesis tests will probably yield many false findings. Indeed,
statistical "significance" is evidence for the presence of a signal within the
noise expected in a single test, not in a multitude. In order to protect
himself from an uncontrolled number of erroneous findings, a researcher has to
consider of the type or errors he wishes to avoid and select the adequate
procedure for that particular error type and data structure. A quick search of
the tag [multiple-comparisons] in the statistics Questions & Answers web site
Cross Validates (http://stats.stackexchange.com) demonstrates the amount of
confusion this task can actually cause. This was also a point made at the 2009
Multiple Comparisons conference in Tokyo. In an attempt to offer guidance, we
review possible error types for multiple testing, and demonstrate them with
some practical examples, which clarify the formalism. Finally, we include some
notes on the software implementations of the methods discussed.
  The emphasis of this manuscript is on the error-rates, and not on the
procedures themselves. We do try to name several procedures in this manuscript
where appropriate. P-value adjustment will not be discussed as it is procedure
specific. I.e., it is the choice of a procedure that defines the p-value
adjustment, and not the error rate itself. Simultaneous confidence intervals
will, also, not be discussed.


title: An Arithmetic Analogue of Fox's Triangle Removal Argument

abstract:
  We give an arithmetic version of the recent proof of the triangle removal
lemma by Fox [Fox11], for the group $\mathbb{F}_2^n$.
  A triangle in $\mathbb{F}_2^n$ is a triple $(x,y,z)$ such that $x+y+z = 0$.
The triangle removal lemma for $\mathbb{F}_2^n$ states that for every $\epsilon
> 0$ there is a $\delta > 0$, such that if a subset $A$ of $\mathbb{F}_2^n$
requires the removal of at least $\epsilon \cdot 2^n$ elements to make it
triangle-free, then it must contain at least $\delta \cdot 2^{2n}$ triangles.
This problem was first studied by Green [Gre05] who proved a lower bound on
$\delta$ using an arithmetic regularity lemma. Regularity based lower bounds
for triangle removal in graphs were recently improved by Fox and we give a
direct proof of an analogous improvement for triangle removal in
$\mathbb{F}_2^n$.
  The improved lower bound was already known to follow (for triangle-removal in
all groups), using Fox's removal lemma for directed cycles and a reduction by
Kr\'{a}l, Serra and Vena [KSV09] (see [Fox11,CF13]). The purpose of this note
is to provide a direct Fourier-analytic proof for the group $\mathbb{F}_2^n.$


title:
An invitation to harmonic analysis associated with semigroups of
  operators

abstract:
  This article is an introduction to our recent work in harmonic analysis
associated with semigroups of operators, in the effort of finding a
noncommutative Calder\'on-Zygmund theory for von Neumann algebras. The
classical CZ theory has been traditionally developed on metric measure spaces
satisfying additional regularity properties. In the lack of such metrics -or
with very little information on the metric- Markov semigroups of operators
appear to be the right substitutes of classical metric/geometric tools in
harmonic analysis. Our approach is particularly useful in the noncommutative
setting but it is also valid in classical/commutative frameworks.


title: A SWAP gate for qudits

abstract:
  We present a quantum SWAP gate valid for quantum systems of an arbitrary
dimension. The gate generalizes the CNOT implementation of the SWAP gate for
qubits and keeps its most important properties, like symmetry and simplicity.
We only use three copies of the same controlled qudit gate. This gate can be
built with two standard higher-dimensional operations, the Quantum Fourier
Transform and the d-dimensional version of the CZ gate.


title: On the push-out space

abstract:
  Let $f:M^m\longrightarrow \Bbb R^{m+k}$ be an immersion where $M$ is a smooth
connected $m$-dimensional manifold without boundary. Then we construct a
subspace $\Omega(f)$ of $ \mathbb{R}^k$, namely push-out space. which
corresponds to a set of embedded manifolds which are either parallel to $ f $,
tubes around $ f $ or, ingeneral, partial tubes around $ f $. This space is
invariant under the action of the normal holonomy group, $\mathcal{H}ol(f)$.
Moreover, we construct geometrically some examples for normal holonomy group
and push-out space in ${\Bbb R}^3$.These examples will show that properties of
push-out space that are proved in the case $\mathcal{H}ol(f)$ is trivial, is
not true in general.


title:
h-approximation: History-Based Approximation of Possible World Semantics
  as ASP

abstract:
  We propose an approximation of the Possible Worlds Semantics (PWS) for action
planning. A corresponding planning system is implemented by a transformation of
the action specification to an Answer-Set Program. A novelty is support for
postdiction wrt. (a) the plan existence problem in our framework can be solved
in NP, as compared to $\Sigma_2^P$ for non-approximated PWS of Baral(2000); and
(b) the planner generates optimal plans wrt. a minimal number of actions in
$\Delta_2^P$. We demo the planning system with standard problems, and
illustrate its integration in a larger software framework for robot control in
a smart home.


title: Generalized gravitational entropy

abstract:
  We consider classical Euclidean gravity solutions with a boundary. The
boundary contains a non-contractible circle. These solutions can be interpreted
as computing the trace of a density matrix in the full quantum gravity theory,
in the classical approximation. When the circle is contractible in the bulk, we
argue that the entropy of this density matrix is given by the area of a minimal
surface. This is a generalization of the usual black hole entropy formula to
euclidean solutions without a Killing vector.
  A particular example of this set up appears in the computation of the
entanglement entropy of a subregion of a field theory with a gravity dual. In
this context, the minimal area prescription was proposed by Ryu and Takayanagi.
Our arguments explain their conjecture.


title: Homogeneous Weights and M\"obius Functions on Finite Rings

abstract:
  The homogeneous weights and the M\"obius functions and Euler phi-functions on
finite rings are discussed; some computational formulas for these functions on
finite principal ideal rings are characterized; for the residue rings of
integers, they are reduced to the classical number-theoretical M\"obius
functions and the classical number-theoretical Euler phi-functions.


title:
If cooperation is likely punish mildly: Insights from economic
  experiments based on the snowdrift game

abstract:
  Punishment may deter antisocial behavior. Yet to punish is costly, and the
costs often do not offset the gains that are due to elevated levels of
cooperation. However, the effectiveness of punishment depends not only on how
costly it is, but also on the circumstances defining the social dilemma. Using
the snowdrift game as the basis, we have conducted a series of economic
experiments to determine whether severe punishment is more effective than mild
punishment. We have observed that severe punishment is not necessarily more
effective, even if the cost of punishment is identical in both cases. The
benefits of severe punishment become evident only under extremely adverse
conditions, when to cooperate is highly improbable in the absence of sanctions.
If cooperation is likely, mild punishment is not less effective and leads to
higher average payoffs, and is thus the much preferred alternative. Presented
results suggest that the positive effects of punishment stem not only from
imposed fines, but may also have a psychological background. Small fines can do
wonders in motivating us to chose cooperation over defection, but without the
paralyzing effect that may be brought about by large fines. The later should be
utilized only when absolutely necessary.


title:
A new method to obtain risk neutral probability, without stochastic
  calculus and price modeling, confirms the universal validity of
  Black-Scholes-Merton formula and volatility's role

abstract:
  A new method is proposed to obtain the risk neutral probability of share
prices without stochastic calculus and price modeling, via an embedding of the
price return modeling problem in Le Cam's statistical experiments framework.
Strategies-probabilities $P_{t_0,n}$ and $P_{T,n}$ are thus determined and
used, respectively,for the trader selling the share's European call option at
time $t_0$ and for the buyer who may exercise it in the future, at $T; \ n$
increases with the number of share's transactions in $[t_0,T].$ When the
transaction times are dense in $[t_0,T]$ it is shown, with mild conditions,
that under each of these probabilities $\log \frac{S_T}{S_{t_0}}$ has
infinitely divisible distribution and in particular normal distribution for
"calm" share; $S_t$ is the share's price at time $t.$ The price of the share's
call is the limit of the expected values of the call's payoff under the
translated $P_{t_0,n}.$ It coincides for "calm" share prices with the
Black-Scholes-Merton formula with variance not necessarily proportional to
$(T-t_0),$ thus confirming formula's universal validity without model
assumptions. Additional results clarify volatility's role in the transaction
and the behaviors of the trader and the buyer. Traders may use the pricing
formulae after estimation of the unknown parameters.


title: Expected signature of Gaussian processes with strictly regular kernels

abstract:
  We compute the expected signature of a class of Gaussian processes which is a
subclass of the Gaussian processes with regular kernels, in the sense of Alos,
Mazet and Nualart.


title: Polar ring galaxies as tests of gravity

abstract:
  Polar ring galaxies are ideal objects with which to study the
three-dimensional shapes of galactic gravitational potentials since two
rotation curves can be measured in two perpendicular planes. Observational
studies have uncovered systematically larger rotation velocities in the
extended polar rings than in the associated host galaxies. In the dark matter
context, this can only be explained through dark halos that are systematically
flattened along the polar rings. Here, we point out that these objects can also
be used as very effective tests of gravity theories, such as those based on
Milgromian dynamics (MOND). We run a set of polar ring models using both
Milgromian and Newtonian dynamics to predict the expected shapes of the
rotation curves in both planes, varying the total mass of the system, the mass
of the ring with respect to the host, as well as the size of the hole at the
center of the ring. We find that Milgromian dynamics not only naturally leads
to rotation velocities being typically higher in the extended polar rings than
in the hosts, as would be the case in Newtonian dynamics without dark matter,
but that it also gets the shape and amplitude of velocities correct. Milgromian
dynamics thus adequately explains this particular property of polar ring
galaxies.


title: How realistic are solar model atmospheres?

abstract:
  Recently, new solar model atmospheres have been developed to replace
classical 1D LTE hydrostatic models and used to for example derive the solar
chemical composition. We aim to test various models against key observational
constraints. In particular, a 3D model used to derive the solar abundances, a
3D MHD model (with an imposed 10 mT vertical magnetic field), 1D models from
the PHOENIX project, the 1D MARCS model, and the 1D semi-empirical model of
Holweger & M\"uller. We confront the models with observational diagnostics of
the temperature profile: continuum centre-to-limb variations (CLV), absolute
continuum fluxes, and the wings of hydrogen lines. We also test the 3D models
for the intensity distribution of the granulation and spectral line shapes. The
predictions from the 3D model are in excellent agreement with the continuum CLV
observations, performing even better than the Holweger & M\"uller model
(constructed largely to fulfil such observations). The predictions of the 1D
theoretical models are worse, given their steeper temperature gradients. For
the continuum fluxes, predictions for most models agree well with the
observations. No model fits all hydrogen lines perfectly, but again the 3D
model comes ahead. The 3D model also reproduces the observed continuum
intensity fluctuations and spectral line shapes very well. The excellent
agreement of the 3D model with the observables reinforces the view that its
temperature structure is realistic. It outperforms the MHD simulation in all
diagnostics, implying that recent claims for revised abundances based on MHD
modelling are premature. Several weaknesses in the 1D models are exposed. The
differences between the PHOENIX LTE and NLTE models are small. We conclude that
the 3D hydrodynamical model is superior to any of the tested 1D models, which
gives further confidence in the solar abundance analyses based on it.