title: New nuclear structure features in transactinide nuclei

abstract:
  The structural evolution of the heavy nuclei, with Z > 82, is investigated by
looking at the differential variation of the two-neutron separation energies.
It indicates, by non-monotonous behavior at certain neutron numbers, structure
phenomena such as major shell (N = 126) and deformed subshell (N = 152)
closures. Another interesting effect is observed at N ~ 142, which is very well
correlated with a previously observed, intriguing behavior of quantities
measured in alpha decay, such as relative branching ratios and hindrance
factors of excited states from the ground state band of deformed nuclei in this
region. Corroboration of the existing experimental data indicates another
possible deformed subshell closure.


title: Colouring quadrangulations of projective spaces

abstract:
  A graph embedded in a surface with all faces of size 4 is known as a
quadrangulation. We extend the definition of quadrangulation to higher
dimensions, and prove that any graph G which embeds as a quadrangulation in the
real projective space P^n has chromatic number n+2 or higher, unless G is
bipartite. For n=2 this was proved by Youngs [J. Graph Theory 21 (1996),
219-227]. The family of quadrangulations of projective spaces includes all
complete graphs, all Mycielski graphs, and certain graphs homomorphic to
Schrijver graphs. As a corollary, we obtain a new proof of the Lovasz-Kneser
theorem.


title:
A mathematical model for fluid-glucose-albumin transport in peritoneal
  dialysis

abstract:
  A mathematical model for fluid and solute transport in peritoneal dialysis is
constructed. The model is based on a three-component nonlinear system of
two-dimensional partial differential equations for fluid, glucose and albumin
transport with the relevant boundary and initial conditions. Its aim is to
model ultrafiltration of water combined with inflow of glucose to the tissue
and removal of albumin from the body during dialysis, and it does this by
finding the spatial distributions of glucose and albumin concentrations and
hydrostatic pressure. The model is developed in one spatial dimension
approximation and a governing equation for each of the variables is derived
from physical principles. Under certain assumptions the model are simplified
with the aim of obtaining exact formulae for spatially non-uniform steady-state
solutions.
  As the result, the exact formulae for the fluid fluxes from blood to tissue
and across the tissue are constructed together with two linear autonomous ODEs
for glucose and albumin concentrations in the tissue. The obtained analytical
results are checked for their applicability for the description of
fluid-glucose-albumin transport during peritoneal dialysis.


title: The camera of the fifth H.E.S.S. telescope. Part I: System description

abstract:
  In July 2012, as the four ground-based gamma-ray telescopes of the H.E.S.S.
(High Energy Stereoscopic System) array reached their tenth year of operation
in Khomas Highlands, Namibia, a fifth telescope took its first data as part of
the system. This new Cherenkov detector, comprising a 614.5 m^2 reflector with
a highly pixelized camera in its focal plane, improves the sensitivity of the
current array by a factor two and extends its energy domain down to a few tens
of GeV.
  The present part I of the paper gives a detailed description of the fifth
H.E.S.S. telescope's camera, presenting the details of both the hardware and
the software, emphasizing the main improvements as compared to previous
H.E.S.S. camera technology.


title: Extending the nonsingular hyperscaling violating spacetimes

abstract:
  Lifshitz and hyperscaling violating geometries, which provide a holographic
description of non-relativistic field theories, generically have a singularity
in the infrared region of the geometry, where tidal forces for freely falling
observers diverge, but there is a special class of hyperscaling violating
geometries where this tidal force divergence does not occur. We explicitly
construct a smooth extension of the spacetime in this case, and explore the
structure of the spacetime. We find that the spacetime has two disconnected
boundaries, as in AdS$_2$. We also consider the behaviour of finite-energy
excitations of the spacetime at the horizon, arguing that they will have some
divergence there.


title: Modeling nuclear parton distribution functions

abstract:
  The presence of nuclear medium and collective phenomena which involve several
nucleons modify the parton distribution functions of nuclei (nPDFs) compared to
those of a free nucleon. These modifications have been investigated by
different groups using global analyses of high energy nuclear reaction world
data resulting in modern nPDF parametrizations with error estimates, such as
EPS09(s), HKN07 and nDS. These phenomenological nPDF sets roughly agree within
their uncertainty bands, but have antiquarks for large-$x$ and gluons for the
whole $x$-range poorly constrained by the available data. In the kinematics
accessible at the LHC this has negative impact on the interpretation of the
heavy-ion collision data, especially for the $p + A$ benchmarking runs. The EMC
region is also sensitive to the proper definition of $x$, where the nuclear
binding effects have to be taken into account, and for heavy nuclei one also
needs to take into account that a fraction of the nucleus momentum is carried
by the equivalent photons which modifies the momentum sum rule. We study how
these effects affect the predictions for the nuclear modification ratios at the
LHC kinematics using a model where we combine theoretical input for the leading
twist nuclear shadowing (the FGS model) and the EKS98s/EPS09s nPDF set where
the spatial dependence is formulated as a power series of the nuclear thickness
functions $T_A$.


title: Max-min and min-max approximation problems for normal matrices revisited

abstract:
  We give a new proof for an equality of certain max-min and min-max
approximation problems involving normal matrices. The previously published
proofs of this equality apply tools from matrix theory, (analytic) optimization
theory and constrained convex optimization. Our proof uses a classical
characterization theorem from approximation theory and thus exploits the link
between the two approximation problems with normal matrices on the one hand and
approximation problems on compact sets in the complex plane on the other.


title: Testing Higgs Physics at the Photon Collider

abstract:
  Here we review potential of the Photon Collider for study of Higgs physics
after discovery of the SM-like Higgs boson at the LHC. In general, the Photon
Collider will fill in the LHC and ILC results, giving in some cases unique
information which cannot be obtained at other machines.


title: Lower bounds on the maximum number of non-crossing acyclic graphs

abstract:
  This paper is a contribution to the problem of counting geometric graphs on
point sets. More concretely, we look at the maximum numbers of non-crossing
spanning trees and forests. We show that the so-called double chain point
configuration of N points has Omega(12.52^N) non-crossing spanning trees and
Omega(13.61^N) non-crossing forests. This improves the previous lower bounds on
the maximum number of non-crossing spanning trees and of non-crossing forests
among all sets of N points in general position given by Dumitrescu, Schulz,
Sheffer and T\'oth. Our analysis relies on the tools of analytic combinatorics,
which enable us to count certain families of forests on points in convex
position, and to estimate their average number of components. A new upper bound
of O(22.12^N) for the number of non-crossing spanning trees of the double chain
is also obtained.


title:
$\bar{D^0} D^0$-production in $p\bar{p}$-collisions within a double
  handbag approach

abstract:
  We estimate the scattering amplitude of the process $ p \bar{p} \,\to\,
\bar{D^0} D^0$ within a double-handbag framework where transition distribution
amplitudes, calculated through an overlap representation, factorize from a hard
subprocess. This process will be measured in the $\bar{\text{P}}\text{ANDA}$
experiment at GSI-FAIR.


title: The optimality of attaching unlinked labels to unlinked meanings

abstract:
  Vocabulary learning by children can be characterized by many biases. When
encountering a new word, children as well as adults, are biased towards
assuming that it means something totally different from the words that they
already know. To the best of our knowledge, the 1st mathematical proof of the
optimality of this bias is presented here. First, it is shown that this bias is
a particular case of the maximization of mutual information between words and
meanings. Second, the optimality is proven within a more general information
theoretic framework where mutual information maximization competes with other
information theoretic principles. The bias is a prediction from modern
information theory. The relationship between information theoretic principles
and the principles of contrast and mutual exclusivity is also shown.


title:
Radio observations of GRB 100418a: Test of an energy injection model
  explaining long-lasting GRB afterglows

abstract:
  We present the results of our radio observational campaign on GRB 100418a,
for which we used the Australia Telescope Compact Array (ATCA), Very Large
Array (VLA) and the Very Long Baseline Array (VLBA). GRB 100418a was a peculiar
GRB with unusual X-ray and optical afterglow profiles featuring a plateau phase
with a very shallow rise. This observed plateau phase was believed to be due to
a continued energy injection mechanism which powered the forward shock, giving
rise to an unusual and long-lasting afterglow. The radio afterglow of GRB
100418a was detectable several weeks after the prompt emission. We conducted
long-term monitoring observations of the afterglow and attempted to test the
energy injection model advocating that the continuous energy injection is due
to shells of material moving at a wide range of Lorentz factors. We obtained an
upper limit of $\gamma$ $<$ 7 for the expansion rate of the GRB 100418a radio
afterglow, indicating that the range-of-Lorentz factor model could only be
applicable for relatively slow moving ejecta. A preferred explanation could be
that continued activity of the central engine may have powered the long-lasting
afterglow.


title:
Albert algebras and construction of the finite simple groups $F_4(q)$,
  $E_6(q)$ and ${}^2E_6(q)$ and their generic covers

abstract:
  We give a uniform construction of the finite simple groups $E_6(q)$, $F_4(q)$
and ${}^2E_6(q)$, which does not require any special treatment for
characteristics 2 or 3, and in particular avoids any mention of quadratic
Jordan algebras. Although almost all the ingredients can already be found
scattered through research papers spanning more than a century, a coherent,
sef-contained, account is hard to find in the literature.


title:
Intrinsic exchange-correlation magnetic fields in exact current-density
  functional theory for degenerate systems

abstract:
  We calculate the exact Kohn-Sham (KS) scalar and vector potentials that
reproduce, within current-density functional theory, the steady-state density
and current density corresponding to an electron quasiparticle added to the
ground state of a model quantum wire. Our results show that, even in the
absence of an external magnetic field, a KS description of a steady-state
system in general requires a non-zero exchange-correlation magnetic field that
is purely mechanical in origin. The KS paramagnetic current density is not, in
general, that of the interacting system in any gauge.


title:
Reply to the Comment on "A self-assembled three-dimensional cloak in the
  visible" in Scientific Reports 3, 2328

abstract:
  In a recent comment arxiv:1310.1503 Miller et al. noted that a cloak we
previously presented (Scientific Reports 3, 2328) that exploits a scattering
cancellation technique to render an optically small dielectric particle
invisible suffers from increased extinction. According to Miller et al. this
disqualifies the terminology of a cloak. We concur with the crux of the comment
but wish to stress that we never claimed nor suggested a reduction in
extinction. A scattering cancellation cloak cancels scattering. The issue,
therefore, seems to be whether the structure should be called a cloak or not.
We understand a cloaked object as an object that is not perceived by an
external observer. We argue that optically small particles are much easier seen
in a scattering configuration whereas it is difficult to perceive them in
extinction; providing justification to the terminology as used.


title: Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer

abstract:
  We study nonlinear interferometry applied to a measurement of atomic spin and
demonstrate a sensitivity that cannot be achieved by any linear-optical
measurement with the same experimental resources. We use
alignment-to-orientation conversion, a nonlinear-optical technique from optical
magnetometry, to perform a nondestructive measurement of the spin alignment of
a cold $^{87}$Rb atomic ensemble. We observe state-of-the-art spin sensitivity
in a single-pass measurement, in good agreement with covariance-matrix theory.
Taking the degree of measurement-induced spin squeezing as a figure of merit,
we find that the nonlinear technique's experimental performance surpasses the
theoretical performance of any linear-optical measurement on the same system,
including optimization of probe strength and tuning. The results confirm the
central prediction of nonlinear metrology, that superior scaling can lead to
superior absolute sensitivity.


title:
Vortex line density in counterflowing He II with laminar and turbulent
  normal fluid velocity profiles

abstract:
  Superfluid helium is an intimate mixture of a viscous normal fluid, with
continuous vorticity, and an inviscid superfluid, where vorticity is
constrained to thin, stable topological defects. One mechanism to generate
turbulence in this system is through the application of a heat flux, so called
thermal counterflow. Of particular interest is how turbulence in the superfluid
responds to both a laminar and turbulent normal fluid in the presence of walls.
We model superfluid vortex lines as reconnecting space curves with fixed
circulation, and consider both laminar (Poiseuille) and turbulent normal fluid
flows in a channel configuration. Using high resolution numerical simulations
we show that turbulence in the normal fluid sustains a notably higher vortex
line density than a laminar flow with the same mean flow rate. We exam Vinen's
relation, $\sqrt{L}=\gamma v_{ns}$, between the steady state vortex line
density $L$ and the counterflow velocity $v_{ns}$. Our results support the
hypothesis that transition to turbulence in the normal fluid is responsible for
the TI to TII transition. We also consider the spectral properties of
fluctuations of the superfluid vortices, which show a good agreement with
previous experimental results.


title:
High speed readout electronics development for frequency-multiplexed
  kinetic inductance detector design optimization

abstract:
  Microwave Kinetic Inductance Detectors (MKID) are a promising solution for
spaceborne mm-wave astronomy. To optimize their design and make them
insensitive to the ballistic phonons created by cosmic-ray interactions in the
substrate, the phonon propagation in silicon must be studied. A dedicated fast
readout electronics, using channelized Digital Down Conversion for monitoring
up to 12 MKIDs over a 100MHz bandwidth was developed. Thanks to the fast ADC
sampling and steep digital filtering, In-phase and Quadrature samples, having a
high dynamic range, are provided at ~2 Msps. This paper describes the technical
solution chosen and the results obtained.


title:
What do university rankings by fields rank? Exploring discrepancies
  between the organizational structure of universities and bibliometric
  classifications

abstract:
  University rankings by fields are usually based on the research output of
universities. However, research managers and rankings consumers expect to see
in such fields a reflection of the structure of their own organizational
institution. In this study we address such misinterpretation by developing the
research profile of the organizational units of two Spanish universities:
University of Granada and Pompeu Fabra University. We use two classification
systems, the subject categories offered by Thomson Scientific which are
commonly used on bibliometric studies, and the 37 disciplines displayed by the
Spanish I-UGR Rankings which are constructed from an aggregation of the former.
We also describe in detail problems encountered when working with address data
from a top down approach and we show differences between universities
structures derived from the interdisciplinary organizational forms of new
managerialism at universities. We conclude by highlighting that rankings by
fields should clearly state the methodology for the construction of such
fields. We indicate that the construction of research profiles may be a good
solution for universities for finding out levels of discrepancy between
organizational units and subject fields.


title:
Analysis of enhanced stimulated Brillouin scattering in silicon slot
  waveguides

abstract:
  Stimulated Brillouin scattering has attracted renewed interest with the
promise of highly tailorable integration into the silicon photonics platform.
However, significant Brillouin amplification in silicon waveguides has yet to
be shown. In an effort to engineer a structure with large photon-phonon
coupling, we analyzed both forward and backward Brillouin scattering in
high-index-contrast silicon slot waveguides. The calculations predict that
gradient forces enhance the Brillouin gain in narrow slots. We estimate a
currently feasible gain of about $10^{5} \, \text{W}^{-1}\text{m}^{-1}$, which
is an order of magnitude larger than in a stand-alone silicon wire. Such
efficient coupling could enable a host of Brillouin technologies on a
mass-producible silicon chip.


title: Tapered nanofiber trapping of high-refractive-index nanoparticles

abstract:
  A nanofiber-based optical tweezer is demonstrated. Trapping is achieved by
combining attractive near-field optical gradient forces with repulsive
electrostatic forces. Silica-coated Fe$_2$O$_3$ nanospheres of 300 diameter are
trapped as close as 50 nm away from the surface with 810 $\mu$W of optical
power, with a maximum trap stiffness of 2.7 pN $\mu$m$^{-1}$. Electrostatic
trapping forces up to 0.5 pN are achieved, a factor of 50 larger than those
achievable for the same optical power in conventional optical tweezers.
Efficient collection of the optical field directly into the nanofiber enables
ultra-sensitive tracking of nanoparticle motion and extraction of its
characteristic Brownian motion spectrum, with a minimum position sensitivity of
3.4 $\AA / \sqrt{\text{Hz}}$.


title: Stable Recovery from the Magnitude of Symmetrized Fourier Measurements

abstract:
  In this note we show that stable recovery of complex-valued signals
$x\in\mathbb{C}^n$ up to global sign can be achieved from the magnitudes of
$4n-1$ Fourier measurements when a certain "symmetrization and zero-padding" is
performed before measurement ($4n-3$ is possible in certain cases). For real
signals, symmetrization itself is linear and therefore our result is in this
case a statement on uniform phase retrieval. Since complex conjugation is
involved, such measurement procedure is not complex-linear but recovery is
still possible from magnitudes of linear measurements on, for example,
$(\Re(x),\Im(x))$.


title:
The Cryptanalysis of Lee's Chaotic Maps-Based Authentication and Key
  Agreement Scheme using Smart card for Telecare Medicine Information Systems

abstract:
  The Telecare medicine information system (TMIS) is developed to provide
Telecare services to the remote user. A user can access remote medical servers
using internet without moving from his place. Although remote user and server
exchange their messages/data via public networks. An adversary is considered to
be enough powerful that he may have full control over the public network. This
makes these Telecare services vulnerable to attacks. To ensure secure
communication between the user and server many password based authentication
schemes have been proposed. In 2013, Hao et al. presented chaotic maps-based
password authentication scheme for TMIS. Recently, Lee identified that Hao et
al.'s scheme fails to satisfy key agreement property, such that a malicious
server can predetermine the session key. Lee also presented an efficient
chaotic map-based password authentication and key agreement scheme using Smart
cards for TMIS. In this article, we briefly review Lee's scheme and
demonstrates the weakness of Lee's scheme. The study shows that the Lee's
scheme inefficiency of password change phase causes denial of service attack
and login phase results extra computation and communication overhead.


title: Regularity of K\"ahler-Ricci flows on Fano manifolds

abstract:
  In this paper, we will establish a regularity theory for the K\"ahler-Ricci
flow on Fano $n$-manifolds with Ricci curvature bounded in $L^p$-norm for some
$p > n$. Using this regularity theory, we will also solve a long-standing
conjecture for dimension 3. As an application, we give a new proof of the
Yau-Tian-Donaldson conjecture for Fano 3-manifolds. The results have been
announced in \cite{TiZh12b}.


title:
A manifold of pure Gibbs states of the Ising model on the Lobachevsky
  plane

abstract:
  In this paper we construct many `new' Gibbs states of the Ising model on the
Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer
lattices, our foliated states have infinitely many interfaces. The interfaces
are rigid and fill the Lobachevsky plane with positive density.


title: Effect of Epitaxial Strain on Phase Separation in Thin Films

abstract:
  We examine the role of an imposed epitaxial strain e in enhancing or
depressing the spinodal instability of an alloy thin film. Since the alloy film
starts with an imposed strain, phase separation offers a mechanism to relieve
it, but only when the film is elastically inhomogeneous. With
composition-dependence of elastic modulus given by y, and that of lattice
parameter by {\eta}, our simulations using the Cahn-Hilliard model show (and
analytical results for early stages confirm) that, for (ey/{\eta}) > 0, the
imposed strain adds to the driving force for phase separation, decreases the
maximally growing wave length, and expands the coherent spinodal in the phase
diagram. Further, when (ey/{\eta}) > 0.372, it expands to even outside of
chemical spinodal. Phase separation produces islands of elastically softer
(harder) phase with (without) a favorable imposed strain. These results are in
agreement with experimental results in GeSi thin films on Si and Ge substrates,
as well as in InGaAs films on GaAs substrates.


title: Ruprecht 106: the first single population Globular Cluster?

abstract:
  All old Galactic Globular Clusters studied in detail to date host at least
two generations of stars, where the second is formed from gas polluted by
processed material produced by massive stars of the first. This process can
happen if the initial mass of the cluster exceeds a threshold above which
ejecta are retained and a second generation is formed. A determination of this
mass-threshold is mandatory in order to understand how GCs form. We analyzed 9
RGB stars belonging to the cluster Ruprecht 106. Targets were observed with the
UVES@VLT2 spectrograph. Spectra cover a wide range and allowed us to measure
abundances for light (O,Na,Mg,Al), alpha (Si,Ca,Ti), iron-peak
(Sc,V,Cr,Mn,Fe,Co,Ni,Cu,Zn) and neutron-capture
(Y,Zr,Ba,La,Ce,Pr,Nd,Sm,Eu,Dy,Pb) elements. Based on these abundances we show
that Ruprecht 106 is the first convincing example of a single population GC
(i.e. a true simple stellar population), although the sample is relatively
small. This result is supported also by an independent photometric test and by
the HB morphology and the dynamical state. It is old (~12 Gyrs) and, at odds
with other GCs, has no alpha-enhancement. The material it formed from was
contaminated by both s- and r- process elements. The abundance pattern points
toward an extragalactic origin. Its present day mass (M=10^4.83 Msun) can be
assumed as a strong lower limit for the initial mass threshold below which no
second generation is formed. Clearly, its initial mass must have been
significantly greater but we have no current constraints on the amount of mass
loss during its evolution.


title: Mean field bipartite spin models treated with mechanical techniques

abstract:
  Inspired by a continuously increasing interest in modeling and framing
complex systems in a thermody- namic rationale, in this paper we continue our
investigation in adapting well known techniques (originally stemmed in fields
of physics and mathematics far from the present) for solving for the free
energy of mean field spin models in a statistical mechanics scenario. Focusing
on the test cases of bipartite spin systems embedded with all the possible
interactions (self and reciprocal), we show that both the fully interacting
bipartite ferromagnet as well as the spin glass counterpart, at least at the
replica symmetric level, can be solved via the fundamental theorem of calculus,
trough an analogy with the Hamilton-Jacobi theory and lastly with a mapping to
a Fourier diffusion problem. All these technologies are shown symmetrically for
ferromagnets and spin-glasses in full details and contribute as powerful tools
in the investigation of complex systems.


title: On The Limits Of Perfect Security For Steganographic System

abstract:
  Until now the discussion on perfect security for steganographic systems has
remained confined within the realm of mathematicians and information theory
experts whose concise and symbolic representation of their philosophies,
postulates, and inference thereafter has made it hard for the na\"ive academics
to have an insight of the concepts. This paper is an endeavor not only to
appraise on the limitations of one of such pioneer comprehensions but also to
illustrate a pitfall in another scheme that asserts on having perfect security
without the use of public or secret key. Goals set are accomplished through
contrasting test results of a steganographic scheme that exploits English words
with corresponding acronyms for hiding bits of secret information in chat - a
preferred way to exchange messages these days. The misapprehension about
perfect security and reign in characteristic of stego key in bit embedding
process are unfolded respectively by launching elementary chosen-message and
chosen-cover attack, and through proposed enhancement of target scheme.


title:
Multiple Positive Solutions for a Class of Nonlinear Elliptic Eigenvalue
  Problems with a Sign-Changing Nonlinearity

abstract:
  In 2009 Loc and Schmitt established a result on sufficient conditions for
multiplicity of solutions of a class of nonlinear eignvalue problems for the
p-Laplace operator under Dirichlet boundary conditions, extending an earlier
result of 1981 by Peter Hess for the Laplacian. Results on necessary conditions
for existence were also established. In the present paper the authors extend
the main results by Loc and Schmitt to the $\Phi$-Laplacian. To overcome the
difficulties with this much more general operator it was necessary to employ
regularity results by Lieberman, a strong maximum principle by Pucci and Serrin
and a general result on lower and upper solutions by Le.


title:
Wave packet analysis of Schrodinger equations in analytic function
  spaces

abstract:
  We consider a class of linear Schroedinger equations in R^d, with analytic
symbols. We prove a global-in-time integral representation for the
corresponding propagator as a generalized Gabor multiplier with a window
analytic and decaying exponentially at infinity, which is transported by the
Hamiltonian flow. We then provide three applications of the above result: the
exponential sparsity in phase space of the corresponding propagator with
respect to Gabor wave packets, a wave packet characterization of Fourier
integral operators with analytic phases and symbols, and the propagation of
analytic singularities.


title: Computing Minimum Time Paths With Bounded Acceleration

abstract:
  Solving for the minimum time bounded acceleration trajectory with prescribed
position and velocity at endpoints is a highly nonlinear problem. The methods
and bounds developed in this paper distinguish when there is a continuous
acceleration solution and reduce the problem of computing the optimal
trajectory to a search over two parameters, planar rotation
$-\pi/2<\theta<\pi/2$ and spatiotemporal dilation $0<\alpha<\Lambda(\theta)$.


title: On the entropy of radiation reaction

abstract:
  The inexorable development of ever more powerful laser systems has re-ignited
interest in electromagnetic radiation reaction and its significance for the
collective behaviour of charged matter interacting with intense electromagnetic
fields. The classical radiation reaction force on a point electron is
non-conservative, and this has led some authors to question the validity of
methods used to model ultra-intense laser-matter interactions including
radiation reaction. We explain why such concern is unwarranted.


title:
Nonlinear Boundary Value Problems via Minimization on Orlicz-Sobolev
  Spaces

abstract:
  We develop arguments on convexity and minimization of energy functionals on
Orlicz-Sobolev spaces to investigate existence of solution to the equation
$\displaystyle -\mbox{div} (\phi(|\nabla u|) \nabla u) = f(x,u) + h \mbox{in}
\Omega$ under Dirichlet boundary conditions, where $\Omega \subset {\bf R}^{N}$
is a bounded smooth domain, $\phi : (0,\infty)\longrightarrow (0,\infty)$ is a
suitable continuous function and $f: \Omega \times {\bf R} \to {\bf R}$
satisfies the Carath\'eodory conditions, while $h$ is a measure.


title:
On Variational Multivalued Elliptic Equations on a Bounded Domain in the
  Presence of Critical Growth

abstract:
  We develop arguments on the critical point theory for locally Lipschitz
functionals on Orlicz-Sobolev spaces, along with convexity and compactness
techniques to investigate existence of solution of the multivalued equation
$\displaystyle - \Delta_{\Phi} u \in \partial j(.,u) + \lambda h \mbox{in}
\Omega$, where $\Omega \subset {\bf R}^{N}$ is a bounded smooth domain, $\Phi :
{\r} \longrightarrow [0,\infty)$ is a suitable N-function, $\Delta_{\Phi}$ is
the corresponding $\Phi$-Laplacian, $\lambda > 0$ is a parameter,
$h:\Omega\rightarrow{\r}$ is integrable and $\partial j(., u)$ is the
subdifferential of a function $j$ associated with critical growth.


title: Variations on the Baer--Suzuki Theorem

abstract:
  The Baer--Suzuki theorem says that if $p$ is a prime, $x$ is a $p$-element in
a finite group $G$ and $\langle x, x^g \rangle$ is a $p$-group for all $g \in
G$, then the normal closure of $x$ in $G$ is a $p$-group. We consider the case
where $x^g$ is replaced by $y^g$ for some other $p$-element $y$. While the
analog of Baer--Suzuki is not true, we show that some variation is. We also
answer a closely related question of Pavel Shumyatsky on commutators of
conjugacy classes of $p$-elements.


title:
Comments on "Analysis of permanent magnets as elasmobranch bycatch
  reduction devices in hook-and-line and longline trials"

abstract:
  A recent study (Fish. Bull. 109:394-401 (2011)) purportedly tests two
hypotheses: 1. that the capture of elasmobranchs would be reduced with hooks
containing magnets in comparison with control hooks in hook-and-line and
longline studies. 2. that the presence of permanent magnets on hooks would not
alter teleost capture because teleosts lack the ampullary organ. Review of this
paper shows some inconsistencies in the data supporting the first hypothesis
and insufficient data and poor experimental design to adequately test the
second hypothesis. Further, since several orders of teleosts are known to
possess ampullary organs and demonstrate electroreception, grouping all
teleosts in a study design or data analysis of magnetic hook catch rates is not
warranted. Adequate tests of the hypothesis that permanent magnets or
magnetized hooks do not alter teleost capture requires a more careful study
design and much larger sample sizes than O'Connell et al. (Fish. Bull.
109:394-401 (2011)).


title:
Nucleosynthesis inside accretion disks and outflows formed during core
  collapse of massive stars

abstract:
  We investigate nucleosynthesis inside the gamma-ray burst (GRB) accretion
disks and in the outflows launched from these disks mainly in the context of
Type II collapsars. We report the synthesis of several unusual nuclei like 31P,
39K, 43Sc, 35Cl and various isotopes of titanium, vanadium, chromium, manganese
and copper in the disk. We also confirm the presence of iron-group and
alpha-elements in the disk, as shown by previous authors. Much of these heavy
elements thus synthesized are ejected from the disk and survive in the
outflows. While emission lines of several of these elements have been observed
in the X-ray afterglows of GRBs by BeppoSAX, Chandra, XMM-Newton etc., Swift
seems to have not found these lines yet.


title:
Planet Hunters. VI: An Independent Characterization of KOI-351 and
  Several Long Period Planet Candidates from the Kepler Archival Data

abstract:
  We report the discovery of 14 new transiting planet candidates in the Kepler
field from the Planet Hunters citizen science program. None of these candidates
overlapped with Kepler Objects of Interest (KOIs) at the time of submission. We
report the discovery of one more addition to the six planet candidate system
around KOI-351, making it the only seven planet candidate system from Kepler.
Additionally, KOI-351 bears some resemblance to our own solar system, with the
inner five planets ranging from Earth to mini-Neptune radii and the outer
planets being gas giants; however, this system is very compact, with all seven
planet candidates orbiting $\lesssim 1$ AU from their host star. A Hill
stability test and an orbital integration of the system shows that the system
is stable. Furthermore, we significantly add to the population of long period
transiting planets; periods range from 124-904 days, eight of them more than
one Earth year long. Seven of these 14 candidates reside in their host star's
habitable zone.


title: Pure gauge QCD and holography

abstract:
  Holographic models for the pure gauge QCD vacuum are explored. The
holographic renormalization of these models is considered as required by a
phenomenological approach that takes the $\beta$-functions of the models as the
only input. This approach is done taking the dilaton as the coordinate
orthogonal to the border. This choice greatly simplifies the analysis and gives
a geometrical interpretation for the fixed points of the renormalization group
flow. Examples are constructed that present asymptotic freedom, confinement of
static quarks, either with vanishing or non-vanishing gluon condensate $G_{2}$.
The latter models require an extension of the dilaton-gravity models already
considered in the literature. This extension is also determined by the only
input, i.e. the $\beta$-function. In addition the restrictions imposed by the
trace anomaly equation are studied. In doing so a holographic derivation of
this equation is presented.


title:
Hierarchical Bayesian analysis of the velocity power spectrum in
  supersonic turbulence

abstract:
  Turbulence is a dominant feature operating in gaseous flows across nearly all
scales in astrophysical environments. Accordingly, accurately estimating the
statistical properties of such flows is necessary for developing a
comprehensive understanding of turbulence. We develop and employ a hierarchical
Bayesian fitting method to estimate the parameters describing the scaling
relationships of the velocity power spectra of supersonic turbulence. We
demonstrate the accuracy and other advantages of this technique compared with
ordinary linear regression methods. Using synthetic power spectra, we show that
the Bayesian method provides accurate parameter and error estimates. Commonly
used normal linear regression methods can provide estimates that fail to
recover the underlying slopes, up to 70% of the instances, even when
considering the 2std.dev. uncertainties. Additionally, we apply the Bayesian
methods to analyse the statistical properties of compressible turbulence in 3D
numerical simulations. We model driven, isothermal, turbulence with rms Mach
numbers in the highly supersonic regime M~15. We study the influence of purely
solenoidal (divergence-free) and purely compressive (curl-free) forcing on the
scaling exponent of the power spectrum. In simulations with solenoidal forcing
and 1024^3 resolution, our results indicate that there is no extended inertial
range with a constant scaling exponent. The bottleneck effect results in a
curved power spectrum at all wave numbers and is more pronounced in the
transversal modes compared with the longitudinal modes. Therefore, this effect
is stronger in stationary turbulent flows driven by solenoidal forcing compared
to the compressive one. The longitudinal spectrum driven with compressive
forcing is the only spectrum with constant scaling exponent z=-1.94 +- 0.01,
corresponding to slightly shallower slopes than the Burger's prediction.


title: Electromagnetic structure of charmed baryons in Lattice QCD

abstract:
  As a continuation of our recent work on the electromagnetic properties of the
doubly charmed $\Xi_{cc}$ baryon, we compute the charge radii and the magnetic
moments of the singly charmed $\Sigma_c$, $\Omega_c$ and the doubly charmed
$\Omega_{cc}$ baryons in 2+1 flavor Lattice QCD. In general, the charmed
baryons are found to be compact as compared to the proton. The charm quark acts
to decrease the size of the baryons to smaller values. We discuss the mechanism
behind the dependence of the charge radii on the light valence- and sea-quark
masses. The magnetic moments are found to be almost stable with respect to
changing quark mass. We investigate the individual quark sector contributions
to the charge radii and the magnetic moments. The magnetic moments of the
singly charmed baryons are found to be dominantly determined by the light quark
and the role of the charm quark is significantly enhanced for the doubly
charmed baryons.


title: A temporal semantics for Nilpotent Minimum logic

abstract:
  In [Ban97] a connection among rough sets (in particular, pre-rough algebras)
and three-valued {\L}ukasiewicz logic {\L}3 is pointed out. In this paper we
present a temporal like semantics for Nilpotent Minimum logic NM ([Fod95,
EG01]), in which the logic of every instant is given by {\L}3: a completeness
theorem will be shown. This is the prosecution of the work initiated in [AGM08]
and [ABM09], in which the authors construct a temporal semantics for the
many-valued logics of G\"odel ([G\"od32], [Dum59]) and Basic Logic ([H\'aj98]).


title:
Nonstandard interaction effects on neutrino parameters at
  medium-baseline reactor antineutrino experiments

abstract:
  Precision measurements of leptonic mixing parameters and the determination of
the neutrino mass hierarchy are the primary goals of the forthcoming
medium-baseline reactor antineutrino experiments, such as JUNO and RENO-50. In
this work, we investigate the impact of nonstandard neutrino interactions
(NSIs) on the measurements of {sin^2 theta_{12}, Delta m^2_{21}} and {sin^2
theta_{13}, Delta m^2_{31}}, and on the sensitivity to the neutrino mass
hierarchy, at the medium-baseline reactor experiments by assuming a typical
experimental setup. It turns out that the true mixing parameter sin^2
theta_{12} can be excluded at a more than 3 sigma level if the NSI parameter
varepsilon_{e mu} or varepsilon_{e tau} is as large as 2% in the most
optimistic case. However, the discovery reach of NSI effects has been found to
be small, and depends crucially on the CP-violating phases. Finally, we show
that NSI effects could enhance or reduce the discrimination power of the JUNO
and RENO-50 experiments between the normal and inverted neutrino mass
hierarchies.


title:
A few remarks on partially hyperbolic diffeomorphisms of $\mathbb{T}^3$
  isotopic to Anosov

abstract:
  We show that a strong partially hyperbolic diffeomorphism of $\mathbb{T}^3$
isotopic to Anosov has a unique quasi-attractor. Moreover, we study the entropy
of the diffeomorphism restricted to this quasi-attractor.


title: An Elementary Proof of the Hook Content Formula

abstract:
  In this paper we prove the Hook Content Formula (HCF) (and Hook Length
Formula (HLF)) using induction. Instead of working with Young tableaux
directly, we introduce a vector notation (sequences of these vectors represent
("single-vote") ballot sequences in the case of SYT, and "multi-vote" ballot
sequences--where the voter may choose any number of candidates--in the case of
SSYT) to aid in the inductive argument. Next, we establish an identity which
allows us to prove a formula that counts multi-vote ballot sequences. We
demonstrate that, in the non-degenerate case (when this formula counts SSYTs)
it coincides with the HCF. To do the latter, we borrow parts of a technique
outlined by Wilson and Van Lint in their proof of the HLF. We then establish an
identity, which is really a special case of the equation mentioned above, and
show that the HLF follows from it. (Wilson and Van Lint prove this identity
directly, and use it to prove the HLF in a similar manner.) We then note the
appearance of an expression resembling the Weyl dimension formula and conclude
with a combinatorial result.


title: Diagonal recurrence relations for the Stirling numbers of the first kind

abstract:
  In the paper, the author presents diagonal recurrence relations for the
Stirling numbers of the first kind. As by-products, the author also recovers
three explicit formulas for special values of the Bell polynomials of the
second kind.


title:
Explicit formulae for computing Euler polynomials in terms of Stirling
  numbers of the second kind

abstract:
  In the paper, the author elementarily unifies and generalizes eight
identities involving the functions $\frac{\pm1}{e^{\pm t}-1}$ and their
derivatives. By one of these identities, the author establishes two explicit
formulae for computing Euler polynomials and two-parameter Euler polynomials,
which are a newly introduced notion, in terms of Stirling numbers of the second
kind.


title: The phase structure of a chirally-invariant Higgs-Yukawa model

abstract:
  We present new results of our ongoing project on the investigation of the
phase structure of the Higgs-Yukawa model at small and large bare Yukawa
couplings. The critical exponents of the second order bulk phase transitions of
this model are determined from finite-size analyses and compared to the pure
O(4)-model to test for triviality and the possibility of having a non-Gaussian
fixed point. In addition, we will present a first study of Higgs boson masses
and fermion correlation functions.


title:
Development of a microtpc detector as a standard instrument for low
  energy neutron field characterization

abstract:
  In order to measure energy and fluence of neutron fields, with energy ranging
from 8 keV to 1 MeV, a new primary standard is being developed at the IRSN
(Institute for Radioprotection and Nuclear Safety). This project, micro-TPC
(Micro Time Projection Chamber), carried out in collaboration with the LPSC, is
based on the nucleus recoil detector principle. The measurement strategy
requires track reconstruction of recoiling nuclei down to a few keV, which can
be achieved with a low pressure gaseous detector using a micro-pattern gaseous
detector. A gas mixture, mainly isobutane, is used as a n-p converter to detect
neutrons into the detection volume. Then electrons, coming from the ionization
of the gas by the proton recoil, are collected by the pixelised anode (2D
projection). A self-triggered electronics is able to perform the anode readout
at a 50 MHz frequency in order to give the third dimension of the track. Then
the scattering angle is deduced from this track using algorithms. The charge
collection leads to the proton energy, taking into account the ionization
quenching factor. This article emphasizes the neutron energy measurements of a
monoenergetic neutron field produced at 127 keV. The measurements are compared
to Monte Carlo simulations using realistic neutron fields and simulations of
the detector response. The discrepancy between experiments and simulations is 5
keV mainly due to the calibration uncertainties of 10%.


title: The symplectic geometry of closed equilateral random walks in 3-space

abstract:
  A closed equilateral random walk in 3-space is a selection of unit length
vectors giving the steps of the walk conditioned on the assumption that the sum
of the vectors is zero. The sample space of such walks with $n$ edges is the
$(2n-3)$-dimensional Riemannian manifold of equilateral closed polygons in
$\mathbb{R}^3$. We study closed random walks using the symplectic geometry of
the $(2n-6)$-dimensional quotient of the manifold of polygons by the action of
the rotation group $\operatorname {SO}(3)$. The basic objects of study are the
moment maps on equilateral random polygon space given by the lengths of any
$(n-3)$-tuple of nonintersecting diagonals. The Atiyah-Guillemin-Sternberg
theorem shows that the image of such a moment map is a convex polytope in
$(n-3)$-dimensional space, while the Duistermaat-Heckman theorem shows that the
pushforward measure on this polytope is Lebesgue measure on $\mathbb{R}^{n-3}$.
Together, these theorems allow us to define a measure-preserving set of
"action-angle" coordinates on the space of closed equilateral polygons. The new
coordinate system allows us to make explicit computations of exact expectations
for total curvature and for some chord lengths of closed (and confined)
equilateral random walks, to give statistical criteria for sampling algorithms
on the space of polygons and to prove that the probability that a randomly
chosen equilateral hexagon is unknotted is at least $\frac{1}{2}$. We then use
our methods to construct a new Markov chain sampling algorithm for equilateral
closed polygons, with a simple modification to sample (rooted) confined
equilateral closed polygons. We prove rigorously that our algorithm converges
geometrically to the standard measure on the space of closed random walks, give
a theory of error estimators for Markov chain Monte Carlo integration using our
method and analyze the performance of our method. Our methods also apply to
open random walks in certain types of confinement, and in general to walks with
arbitrary (fixed) edgelengths as well as equilateral walks.

categories: math.DG cond-mat.stat-mech math.PR math.SG


title: Inviscid symmetry breaking with non-increasing energy

abstract:
  In a recent article, C. Bardos et. al. constructed weak solutions of the
three-dimensional incompressible Euler equations which emerge from
two-dimensional initial data yet become fully three-dimensional at positive
times. They asked whether such symmetry-breaking solutions could also be
constructed under the additional condition that they should have non-increasing
energy. In this note, we give a positive answer to this question and show that
such a construction is possible for a large class of initial data. We use
convex integration techniques as developed by De Lellis-Sz\'ekelyhidi.


title: How secret interactions can reconcile sterile neutrinos with cosmology

abstract:
  Short baseline neutrino oscillation experiments have shown hints of the
existence of additional sterile neutrinos in the eV mass range. However, such
neutrinos seem incompatible with cosmology because they have too large an
impact on cosmic structure formation. Here we show that new interactions in the
sterile neutrino sector can prevent their production in the early Universe and
reconcile short baseline oscillation experiments with cosmology.


title:
A nonparametric model-based estimator for the cumulative distribution
  function of a right censored variable in a finite population

abstract:
  In survey analysis, the estimation of the cumulative distribution function
(cdf) is of great interest: it allows for instance to derive quantiles
estimators or other non linear parameters derived from the cdf. We consider the
case where the response variable is a right censored duration variable. In this
framework, the classical estimator of the cdf is the Kaplan-Meier estimator. As
an alternative, we propose a nonparametric model-based estimator of the cdf in
a finite population. The new estimator uses auxiliary information brought by a
continuous covariate and is based on nonparametric median regression adapted to
the censored case. The bias and variance of the prediction error of the
estimator are estimated by a bootstrap procedure adapted to censoring. The new
estimator is compared by model-based simulations to the Kaplan-Meier estimator
computed with the sampled individuals: a significant gain in precision is
brought by the new method whatever the size of the sample and the censoring
rate. Welfare duration data are used to illustrate the new methodology.


title:
Tests of hadronic vacuum polarization fits for the muon anomalous
  magnetic moment

abstract:
  We construct a physically motivated model for the isospin-one non-strange
vacuum polarization function Pi(Q^2) based on a spectral function given by
vector-channel OPAL data from hadronic tau decays for energies below the tau
mass and a successful parametrization, employing perturbation theory and a
model for quark-hadron duality violations, for higher energies. Using a
covariance matrix and Q^2 values from a recent lattice simulation, we then
generate fake data for Pi(Q^2) and use it to test fitting methods currently
employed on the lattice for extracting the hadronic vacuum polarization
contribution to the muon anomalous magnetic moment. This comparison reveals a
systematic error much larger than the few-percent total error sometimes claimed
for such extractions in the literature. In particular, we find that errors
deduced from fits using a Vector Meson Dominance ansatz are misleading,
typically turning out to be much smaller than the actual discrepancy between
the fit and exact model results. The use of a sequence of Pad\'{e}
approximants, recently advocated in the literature, appears to provide a safer
fitting strategy.


title:
Abelian-Higgs hair on stationary axisymmetric black hole in
  Einstein-Maxwell-axion-dilaton gravity

abstract:
  We studied, both analytically and numerically, an Abelian Higgs vortex in the
spacetime of stationary axisymmetric black hole being the solution of the
low-energy limit of the heterotic string theory, acted as hair on the black
hole background. Taking into account the gravitational backreaction of the
vortex we show that its influence is far more subtle than causing only a
conical defect. As a consequence of its existence, we found that the ergosphere
was shifted as well as event horizon angular velocity was affected by its
presence. Numerical simulations reveal the strong dependence of the vortex
behaviour on the black hole charge and mass of the Higgs boson. For large
masses of the Higgs boson and large value of the charge, black hole is always
pierced by an Abelian Higgs vortex, while small values of the charge and Higgs
boson mass lead to the expulsion of Higgs field.


title:
A Unifying Model for External Noise Sources and ISI in Diffusive
  Molecular Communication

abstract:
  This paper considers the impact of external noise sources, including
interfering transmitters, on a diffusive molecular communication system, where
the impact is measured as the number of noise molecules expected to be observed
at a passive receiver. A unifying model for noise, multiuser interference, and
intersymbol interference is presented, where, under certain circumstances,
interference can be approximated as a noise source that is emitting
continuously. The model includes the presence of advection and molecule
degradation. The time-varying and asymptotic impact is derived for a series of
special cases, some of which facilitate closed-form solutions. Simulation
results show the accuracy of the expressions derived for the impact of a
continuously-emitting noise source, and show how approximating intersymbol
interference as a noise source can simplify the calculation of the expected bit
error probability of a weighted sum detector.


title: A semigroup characterization of well-posed linear control systems

abstract:
  We study the well-posedness of a linear control system $\Sigma(A,B,C,D)$ with
unbounded control and observation operators. To this end we associate to our
system an operator matrix $\mathcal{A}$ on a product space $\mathcal{X}^p$ and
call it $p$-well-posed if $\mathcal{A}$ generates a strongly continuous
semigroup on $\mathcal{X}^p$. Our approach is based on the Laplace transform
and Fourier multipliers.


title:
Harnack Type Inequalities and Applications for SDE Driven by Fractional
  Brownian Motion

abstract:
  For stochastic differential equation driven by fractional Brownian motion
with Hurst parameter $H>1/2$, Harnack type inequalities are established by
constructing a coupling with unbounded time-dependent drift. These inequalities
are applied to the study of existence and uniqueness of invariant measure for a
discrete Markov semigroup constructed in terms of the distribution of the
solution. Furthermore, we show that entropy-cost inequality holds for the
invariant measure.


title: Variational derivatives of gravitational actions

abstract:
  A method of calculation for the variational derivatives for gravitational
actions in the pseudo-Riemannian case is proposed as a practical variant of the
first order formalism with constraints. The method is then used to derive the
metric field equations for a generic $f(R)$ model.


title:
Mass distribution and structural parameters of Small Magellanic Cloud
  star clusters

abstract:
  In this work we estimate, for the first time, the total masses and mass
function slopes of a sample of 29 young and intermediate-age SMC clusters from
CCD Washington photometry. We also derive age, interstellar reddening and
structural parameters for most of the studied clusters by employing a
statistical method to remove the unavoidable field star contamination. Only
these 29 clusters out of 68 originally analysed cluster candidates present
stellar overdensities and coherent distribution in their colour-magnitude
diagrams compatible with the existence of a genuine star cluster. We employed
simple stellar population models to derive general equations for estimating the
cluster mass based only on its age and integrated light in the B, V, I, C and
T1 filter. These equations were tested against mass values computed from
luminosity functions, showing an excellent agreement. The sample contains
clusters with ages between 60 Myr and 3 Gyr and masses between 300 and 3000 Mo
distributed between ~0.5 deg. and ~2 deg. from the SMC optical centre. We
determined mass function slopes for 24 clusters, of which 19 have slopes
compatible with that of Kroupa IMF (2.3 +/- 0.7), considering the
uncertainties. The remaining clusters - H86-188, H86-190, K47, K63 and NGC242 -
showed flatter MFs. Additionally, only clusters with masses lower than ~1000 Mo
and flatter MF were found within ~0.6 deg. from the SMC rotational centre.


title: Natural selection on human Y chromosomes

abstract:
  The paternally inherited Y chromosome has been widely used in population
genetic studies to understand relationships among human populations. Our
interpretation of Y chromosomal evidence about population history and genetics
has rested on the assumption that all the Y chromosomal markers in the
male-specific region (MSY) are selectively neutral. However, the very low
diversity of Y chromosome has drawn a long debate about whether natural
selection has affected this chromosome or not. In recent several years, the
progress in Y chromosome sequencing has helped to address this dispute.
Purifying selection has been detected in the X-degenerate genes of human Y
chromosomes and positive selection might also have an influence in the
evolution of testis-related genes in the ampliconic regions. Those new findings
remind us to take the effect of natural selection into account when we use Y
chromosome in population genetic studies.


title: Resonant driving of a nonlinear Hamiltonian system

abstract:
  As a proof of principle, we show how a classical nonlinear Hamiltonian system
can be driven resonantly over reasonably long times by appropriately shaped
pulses. To keep the parameter space reasonably small, we limit ourselves to a
driving force which consists of periodic pulses additionally modulated by a
sinusoidal function. The main observables are the average increase of kinetic
energy and of the action variable (of the non-driven system) with time.
Applications of our scheme aim for driving high frequencies of a nonlinear
system with a fixed modulation signal.


title: Non-hermitian approach to decaying ultracold bosonic systems

abstract:
  A paradigm model of modern atom optics is studied, strongly interacting
ultracold bosons in an optical lattice. This many-body system can be
artificially opened in a controlled manner by modern experimental techniques.
We present results based on a non-hermitian effective Hamiltonian whose quantum
spectrum is analyzed. The direct access to the spectrum of the metastable
many-body system allows us to easily identify relatively stable quantum states,
corresponding to previously predicted solitonic many-body structures.


title: The subelliptic heat kernels of the quaternionic Hopf fibration

abstract:
  The main goal of this work is to study the sub-Laplacian of the unit sphere
which is obtained by lifting with respect to the Hopf fibration the Laplacian
of the quaternionic projective space. We obtain in particular explicit formulas
for its heat kernel and deduce an expression for the Green function of the
conformal sub-Laplacian and small-time asymptotics. As a byproduct of our study
we also obtain several results related to the sub-Laplacian of a projected Hopf
fibration.


title: Supersymmetric Gauge Theories on a Squashed Four-Sphere

abstract:
  We define a squashed four-sphere by a dimensional reduction of a twisted S^4
x S^1, and construct explicitly a supersymmetric Yang-Mills action on it. The
action includes a non-trivial dilaton factor and a theta term with a
non-constant theta. The partition function of this theory is calculated using
the localization technique. The resulting partition function can be written in
the form consistent with the AGT relation due to the non-constant theta term.
The parameter b which characterizes the partition function in this form is not
restricted to be real for the squashed four-sphere.


title:
Kepler Monitoring of an L Dwarf I. The Photometric Period and White
  Light Flares

abstract:
  We report on the results of fifteen months of monitoring the nearby field L1
dwarf WISEP J190648.47+401106.8 (W1906+40) with the Kepler mission. Supporting
observations with the Karl G. Jansky Very Large Array and Gemini North
telescope reveal that the L dwarf is magnetically active, with quiescent radio
and variable H$\alpha$ emission. A preliminary trigonometric parallax shows
that W1906+40 is at a distance of $16.35^{+0.36}_{-0.34}$ pc, and all
observations are consistent with W1906+40 being an old disk star just above the
hydrogen-burning limit. The star shows photometric variability with a period of
8.9 hours and an amplitude of 1.5%, with a consistent phase throughout the
year. We infer a radius of $0.92 \pm 0.07 R_J$ and $\sin i > 0.57$ from the
observed period, luminosity ($10^{-3.67 \pm 0.03} L_\odot$), effective
temperature ($2300 \pm 75$K), and $v \sin i$ ($11.2 \pm 2.2$ km/s). The light
curve may be modeled with a single large, high latitude dark spot. Unlike many
L-type brown dwarfs, there is no evidence of other variations at the $\gtrsim
2%$ level, either non-periodic or transient periodic, that mask the underlying
rotation period. We suggest that the long-lived surface features may be due to
starspots, but the possibility of cloud variations cannot be ruled out without
further multi-wavelength observations. During the Gemini spectroscopy, we
observed the most powerful flare ever seen on an L dwarf, with an estimated
energy of $\sim 1.6 \times 10^{32}$ ergs in white light emission. Using the
Kepler data, we identify similar flares and estimate that white light flares
with optical/ultraviolet energies of $10^{31}$ ergs or more occur on W1906+40
as often as 1-2 times per month.


title:
Monotonicity of the von Neumann entropy expressed as a function of
  R\'enyi entropies

abstract:
  The von Neumann entropy of a density matrix of dimension d, expressed in
terms of the first d-1 integer order R\'enyi entropies, is monotonically
increasing in R\'enyi entropies of even order and decreasing in those of odd
order.


title:
RNS derivation of N-point disk amplitudes from the revisited S-matrix
  approach

abstract:
  In the past year, in arXiv:1208.6066 we proposed a revisited S-matrix
approach to efficiently find the bosonic terms of the open superstring low
energy effective lagrangian (OSLEEL). This approach allows to compute the
${\alpha'}^N$ terms of the OSLEEL using open superstring $n$-point amplitudes
in which $n$ is very much lower than $(N+2)$ (which is the order of the
required amplitude to obtain those ${\alpha'}^N$ terms by means of the
conventional S-matrix approach). In this work we use our revisited S-matrix
approach to examine the structure of the scattering amplitudes, arriving at a
closed form for them. This is a RNS derivation of the formula first found by
Mafra, Schlotterer and Stieberger in arXiv:1106.2645, using the Pure Spinor
formalism. We have succeeded doing this for the 5, 6 and 7-point amplitudes. In
order to achieve these results we have done a careful analysis of the
kinematical structure of the amplitudes, finding as a by-product a purely
kinematical derivation of the BCJ relations (for N=4, 5, 6 and 7). Also,
following the spirit of the revisited S-matrix approach, we have found the
$\alpha'$ expansions for these amplitudes up to ${\alpha'}^6$ order in some
cases, by only using the well known open superstring 4-point amplitude, cyclic
symmetry and tree level unitarity: we have not needed to compute any numerical
series or any integral involving polylogarithms, at any moment.


title:
Thermal conductivity of anisotropic spin - 1/2 two leg ladder:Green's
  function approach

abstract:
  We study the thermal transport of a spin-1/2 two leg antiferromagnetic ladder
in the direction of legs. The possible effect of spin-orbit coupling and
crystalline electric field are investigated in terms of anisotropies in the
Heisenberg interactions on both leg and rung couplings. The original spin
ladder is mapped to a bosonic model via a bond-operator transformation where an
infinite hard-core repulsion is imposed to constrain one boson occupation per
site. The Green's function approach is applied to obtain the energy spectrum of
quasi-particle excitations responsible for thermal transport. The thermal
conductivity is found to be monotonically decreasing with temperature due to
increased scattering among triplet excitations at higher temperatures. A tiny
dependence of thermal transport on the anisotropy in the leg direction at low
temperatures is observed in contrast to the strong one on the anisotropy along
the rung direction, due to the direct effect of the triplet density. Our
results reach asymptotically the ballistic regime of the spin - 1/2 Heisenberg
chain and compare favorably well with exact diagonalization data.


title: Invariant hypersurfaces of endomorphisms of projective varieties

abstract:
  We consider surjective endomorphisms f of degree > 1 on projective manifolds
X of Picard number one and their f^{-1}-stable hypersurfaces V, and show that V
is rationally chain connected. Also given is an optimal upper bound for the
number of f^{-1}-stable prime divisors on (not necessarily smooth) projective
varieties.


title:
Production cross section measurements of radioactive isotopes by BigRIPS
  separator at RIKEN RI Beam Factory

abstract:
  We have measured the production rates and production cross sections for a
variety of radioactive isotopes which were produced from 124Xe, 48Ca, and 238U
beams at an energy of 345 MeV/nucleon using the BigRIPS separator at the RIKEN
Nishina Center RI Beam Factory (RIBF). Proton-rich isotopes with atomic numbers
Z = 40 to 52 and neutron-rich isotopes with Z = 5 to 16 were produced by
projectile fragmentation of the 124Xe and 48Ca beam on Be targets,
respectively. Neutron-rich isotopes with Z = 20 to 59 were produced by
in-flight fission of the 238U beam, in which both Be and Pb were used as
production targets. The measured production rates and production cross sections
were compared with those of the LISE++ calculations, and overall fairly good
agreement has been obtained. Furthermore, in the measurements with the 124Xe
beam, we have discovered four new isotopes on the proton-drip line, 85,86Ru and
81,82Mo, and obtained the clear evidence that 103Sb is particle unbound with an
upper limit of 49 ns for the half-life. The measurements of projectile-fragment
momentum distributions have been also performed with the 124Xe beam, in which
the low-momentum tails of the distributions have been measured for the first
time at the energy of 345 MeV/nucleon.


title: The TDHF Code Sky3D

abstract:
  The nuclear mean-field model based on Skyrme forces or related density
functionals has found wide-spread application to the description of nuclear
ground states, collective vibrational excitations, and heavy-ion collisions.
The code Sky3D solves the static or dynamic equations in a three-dimensional
Cartesian mesh with isolated or periodic boundary conditions and no further
symmetry assumptions. Pairing can be included in the BCS approximation. The
code is implemented with a view to allow easy modifications for including
additional physics or special analysis of the results.


title: Engineering transport by concatenated maps

abstract:
  We present a generalized kick rotor model in which the phase of the kick can
vary from kick to kick. This additional freedom allows one to control the
transport in phase space. For a specific choice of kick-to-kick phases, we
predict novel forms of accelerator modes which are potentially of high
relevance for future experimental studies.


title:
Failure modes of complex materials with spatially-correlated mechanical
  properties -- the critical role of internal damage

abstract:
  The study reports a systematic evaluation of the role of spatially correlated
mechanical elements on failure behavior of heterogeneous materials represented
by fiber bundle models (FBM) with different load redistribution rules. The
increase of spatial correlation FBM for a local load sharing, results in a
transition from ductile-like failure characteristics into brittle-like failure.
The study identified a global failure criterion based on macroscopic properties
(external load and cumulative damage) which is independent of spatial
correlation or load redistribution rules. This invariant metric could be
applied for early warning of a class of geophysical ruptures.


title: Safety Challenges and Solutions in Mobile Social Networks

abstract:
  Mobile social networks (MSNs) are specific types of social media which
consolidate the ability of omnipresent connection for mobile users/devices to
share user-centric data objects among interested users. Taking advantage of the
characteristics of both social networks and opportunistic networks, MSNs are
capable of providing an efficient and effective mobile environment for users to
access, share, and distribute data. However, lack of a protective
infrastructure in these networks has turned them in to convenient targets for
various perils. This is the main impulse why MSNs carry disparate and intricate
safety concerns and embrace divergent safety challenging problems. In this
paper, we aim to provide a clear categorization on safety challenges and a deep
exploration over some recent solutions in MSNs. This work narrows the safety
challenges and solution techniques down from opportunistic networks (OppNets)
and delay tolerant networks (DTNs) to MSNs with the hope of covering all the
work proposed around security, privacy and trust in MSNs. To conclude, several
major open research issues are discussed and future research directions are
outlined.


title: A covariant variational approach to Yang-Mills Theory

abstract:
  We investigate the low-order Green's functions of SU(N) Yang-Mills theory in
Landau gauge, using a covariant variational principle based on the effective
action formalism. Employing an approximation to the Faddeev-Popov determinant
established previously in the Hamiltonian approach in Coulomb gauge leads to a
closed set of integral equations for the ghost and gluon propagator. We carry
out the renormalization and the infrared analysis of this system of equations.
Finally, we solve the renormalized system numerically and compare with lattice
results and other functional approaches.


title: A Tractable State-Space Model for Symmetric Positive-Definite Matrices

abstract:
  Bayesian analysis of state-space models includes computing the posterior
distribution of the system's parameters as well as filtering, smoothing, and
predicting the system's latent states. When the latent states wander around
$\mathbb{R}^n$ there are several well-known modeling components and
computational tools that may be profitably combined to achieve these tasks.
However, there are scenarios, like tracking an object in a video or tracking a
covariance matrix of financial assets returns, when the latent states are
restricted to a curve within $\mathbb{R}^n$ and these models and tools do not
immediately apply. Within this constrained setting, most work has focused on
filtering and less attention has been paid to the other aspects of Bayesian
state-space inference, which tend to be more challenging. To that end, we
present a state-space model whose latent states take values on the manifold of
symmetric positive-definite matrices and for which one may easily compute the
posterior distribution of the latent states and the system's parameters, in
addition to filtered distributions and one-step ahead predictions. Deploying
the model within the context of finance, we show how one can use realized
covariance matrices as data to predict latent time-varying covariance matrices.
This approach out-performs factor stochastic volatility.


title:
Hamiltonian dynamics and gauge symmetry for three-dimensional Palatini
  theory with cosmological constant

abstract:
  A pure Dirac's framework for 3D Palatini's theory with cosmological constant
is performed. By considering the complete phase space, we find out the full
structure of the constraints, and their corresponding algebra is computed
explicitly. We report that in order to obtain a well defined algebra among the
constraints, the gauge group must be $SO(2,1)$. In addition, we obtain the
extended action, the extended Hamiltonian, the fundamental gauge symmetry, and
the Dirac brackets of the theory. Finally, we compare our results with those
reported in the literature.


title: Role reversal in first and second sound in a relativistic superfluid

abstract:
  Relativistic superfluidity at arbitrary temperature, chemical potential and
(uniform) superflow is discussed within a self-consistent field-theoretical
approach. Our starting point is a complex scalar field with a $\varphi^4$
interaction, for which we calculate the 2-particle-irreducible effective action
in the Hartree approximation. With this underlying microscopic theory, we can
obtain the two-fluid picture of a superfluid, and compute properties such as
the superfluid density and the entrainment coefficient for all temperatures
below the critical temperature for superfluidity. We compute the critical
velocity, taking into account the full self-consistent effect of the
temperature and superflow on the quasiparticle dispersion. We also discuss
first and second sound modes and how first (second) sound evolves from a
density (temperature) wave at low temperatures to a temperature (density) wave
at high temperatures. This role reversal is investigated for ultra-relativistic
and near-non-relativistic systems for zero and nonzero superflow. For nonzero
superflow, we also observe a role reversal as a function of the direction of
the sound wave.


title:
Local Ensemble Transform Kalman Filter: a non-stationary control law for
  complex adaptive optics systems on ELTs

abstract:
  We propose a new algorithm for an adaptive optics system control law which
allows to reduce the computational burden in the case of an Extremely Large
Telescope (ELT) and to deal with non-stationary behaviors of the turbulence.
This approach, using Ensemble Transform Kalman Filter and localizations by
domain decomposition is called the local ETKF: the pupil of the telescope is
split up into various local domains and calculations for the update estimate of
the turbulent phase on each domain are performed independently. This data
assimilation scheme enables parallel computation of markedly less data during
this update step. This adapts the Kalman Filter to large scale systems with a
non-stationary turbulence model when the explicit storage and manipulation of
extremely large covariance matrices are impossible. First simulation results
are given in order to assess the theoretical analysis and to demonstrate the
potentiality of this new control law for complex adaptive optics systems on
ELTs.


title: Resolvent embeddings

abstract:
  Many ex/reg completions $J:\mathcal C\to\mathcal C_{\rm ex/reg}$ that arise
in categorical realizability and tripos theory admit left Kan extensions of
arbitrary finitely continuous functors to arbitrary exact categories. This
paper identifies the property which is responsible for these extensions: the
functors are *resolvent*. Resolvency is characteristic of toposes that are
ex/reg completions of regular categories with (weak) dependent products and
generic monomorphisms. It also helps to characterize the toposes that the
tripos-to-topos construction produces.


title:
Optical beam dynamics in a gas repetitively heated by femtosecond
  filaments

abstract:
  We investigate beam pointing dynamics in filamentation in gases driven by
high repetition rate femtosecond laser pulses. Upon suddenly exposing a gas to
a kilohertz train of filamenting pulses, the filament is steered from its
original direction to a new stable direction whose equilibrium is determined by
a balance among buoyant, viscous, and diffusive processes in the gas. Results
are shown for Xe and air, but are broadly applicable to all configurations
employing high repetition rate femtosecond laser propagation in gases.


title: Entropy region and convolution

abstract:
  The entropy region is constructed from vectors of random variables by
collecting Shannon entropies of all subvectors. Its shape is studied here by
means of polymatroidal constructions, notably by convolution. The closure of
the region is decomposed into the direct sum of tight and modular parts,
reducing the study to the tight part. The relative interior of the reduction
belongs to the entropy region. Behavior of the decomposition under
selfadhesivity is clarified. Results are specialized to and completed for the
region of four random variables. This and computer experiments help to
visualize approximations of a symmetrized part of the entropy region. Four-atom
conjecture on the minimization of Ingleton score is refuted.


title: Compact dusty clouds in cosmic environment

abstract:
  A novel mechanism of the formation of compact dusty clouds in astrophysical
environments is discussed. It is shown that the balance of collective forces
operating in space dusty plasmas can result in the effect of dust
self-confinement, generating equilibrium spherical clusters. The distribution
of dust and plasma density inside such objects and their stability are
investigated. Spherical dusty clouds can be formed in a broad range of plasma
parameters, suggesting that this process of dust self-organization might be a
generic phenomenon occurring in different astrophysical media. We argue that
compact dusty clouds can represent condensation seeds for a population of
small-scale, cold, gaseous clumps in the diffuse interstellar medium. They
could play an important role in regulating its small-scale structure and its
thermodynamical evolution.


title: Generalized (c,d)-entropy and aging random walks

abstract:
  Complex systems are often inherently non-ergodic and non-Markovian for which
Shannon entropy loses its applicability. In particular accelerating,
path-dependent, and aging random walks offer an intuitive picture for these
non-ergodic and non-Markovian systems. It was shown that the entropy of
non-ergodic systems can still be derived from three of the Shannon-Khinchin
axioms, and by violating the fourth -- the so-called composition axiom. The
corresponding entropy is of the form $S_{c,d} \sim \sum_i \Gamma(1+d,1-c\ln
p_i)$ and depends on two system-specific scaling exponents, $c$ and $d$. This
entropy contains many recently proposed entropy functionals as special cases,
including Shannon and Tsallis entropy. It was shown that this entropy is
relevant for a special class of non-Markovian random walks. In this work we
generalize these walks to a much wider class of stochastic systems that can be
characterized as `aging' systems. These are systems whose transition rates
between states are path- and time-dependent. We show that for particular aging
walks $S_{c,d}$ is again the correct extensive entropy. Before the central part
of the paper we review the concept of $(c,d)$-entropy in a self-contained way.


title: Optimizing Device-to-Device Communications in Cellular Networks

abstract:
  In this report, we consider how to dynamically select transmission bands and
multi-hop routes for device-to-device (D2D) communications in co-existence with
a cellular network overlay. Firstly, we consider different wireless routing
algorithms, i.e. broadcasting-routing (BR) method, and shortest-path-routing
(SPR) method. The results show that depending on the co-existence cellular
users' outage constraint, different routing strategies have different merits.
BR is acceptable at the low D2D user density but is terrible at high density.
We also consider the channel band performance (Uplink band and Downlink band).
The results show that the multi-hop D2D can achieve a low outage probability
using the uplink band (approximately 5%), and D2D in the downlink band performs
a little poorly (approximately 12%) outage with SPR.


title: Ample Weil divisors

abstract:
  We define and study positivity (nefness, amplitude, bigness and
pseudo-effectiveness) for Weil divisors on normal projective varieties. We
prove various characterizations, vanishing and non-vanishing theorems for
cohomology, global generation statements, and a result related to log Fano.


title:
RBAC Architecture Design Issues in Institutions Collaborative
  Environment

abstract:
  Institutional collaborative systems focus on providing the fast, and secure
connections to students, teaching and non-teaching staff members. Access
control is more important in these types of systems because different kind of
users access the system on different levels. So a proper architecture must be
there for these kinds of systems, for providing an efficient and secure system.
As lot of work was done in RBAC like for grouping, securing the system, ease of
use, and for enterprise etc but no one apply all these concepts as a whole on
institution level. So, this paper will be a step towards administrative load
sharing, securing the system, and ease of use.


title: Improving the methods of email classification based on words ontology

abstract:
  The Internet has dramatically changed the relationship among people and their
relationships with others people and made the valuable information available
for the users. Email is the service, which the Internet provides today for its
own users; this service has attracted most of the users' attention due to the
low cost. Along with the numerous benefits of Email, one of the weaknesses of
this service is that the number of received emails is continually being
enhanced, thus the ways are needed to automatically filter these disturbing
letters. Most of these filters utilize a combination of several techniques such
as the Black or white List, using the keywords and so on in order to identify
the spam more accurately In this paper, we introduce a new method to classify
the spam. We are seeking to increase the accuracy of Email classification by
combining the output of several decision trees and the concept of ontology.


title: A note on the Farrell-Jones conjecture for relatively hyperbolic groups

abstract:
  For a group G relatively hyperbolic to a family of residually finite groups
satisfying the Farrell-Jones conjecture, we reduce the solution of the
Farrell-Jones conjecture for G to the case of certain nice cyclic extensions in
G.


title:
Fusion of Hyperspectral and Panchromatic Images using Spectral Uumixing
  Results

abstract:
  Hyperspectral imaging, due to providing high spectral resolution images, is
one of the most important tools in the remote sensing field. Because of
technological restrictions hyperspectral sensors has a limited spatial
resolution. On the other hand panchromatic image has a better spatial
resolution. Combining this information together can provide a better
understanding of the target scene. Spectral unmixing of mixed pixels in
hyperspectral images results in spectral signature and abundance fractions of
endmembers but gives no information about their location in a mixed pixel. In
this paper we have used spectral unmixing results of hyperspectral images and
segmentation results of panchromatic image for data fusion. The proposed method
has been applied on simulated data using AVRIS Indian Pines datasets. Results
show that this method can effectively combine information in hyperspectral and
panchromatic images.


title: Non-marginal Decisions: A Novel Bayesian Multiple Testing Procedure

abstract:
  In this paper we consider the problem of multiple testing when the hypotheses
are dependent. In most of the existing literature, either Bayesian or
non-Bayesian, the decision rules mainly focus on the validity of the test
procedure rather than actually utilizing the dependency to increase efficiency.
Moreover, the decisions regarding different hypotheses are marginal in the
sense that they do not depend upon each other directly. However, in realistic
situations, the hypotheses are usually dependent, and hence it is desirable
that the decisions regarding the dependent hypotheses are taken jointly.
  In this article we develop a novel Bayesian multiple testing procedure that
coherently takes this requirement into consideration. Our method, which is
based on new notions of error and non-error terms, substantially enhances
efficiency by judicious exploitation of the dependence structure among the
hypotheses. We prove that our method minimizes the posterior expected loss
associated with a an additive "0-1" loss function, we also prove theoretical
results on the relevant error probabilities, establishing the coherence and
usefulness of our method. The optimal decision configuration is not available
in closed form and we propose a novel and efficient simulated annealing
algorithm for the purpose of optimization, which is also generically applicable
to binary optimization problems.
  Numerical studies demonstrate that in dependent situations, our method
performs significantly better than some existing popular conventional multiple
testing methods, in terms of accuracy and power control. Moreover, application
of our ideas to a real, spatial data set associated with radionuclide
concentration in Rongelap islands yielded insightful results.


title: The VMC Survey. VIII. First results for Anomalous Cepheids

abstract:
  The VISTA near-infrared $YJK_\mathrm{s}$ survey of the Magellanic Clouds
System (VMC, PI M.-R. L. Cioni) is collecting deep $K_\mathrm{s}$-band
time-series photometry of the pulsating variable stars hosted in the system
formed by the two Magellanic Clouds and the Bridge connecting them. In this
paper we present for the first time $K_\mathrm{s}$-band light curves for
Anomalous Cepheid (AC) variables. In particular, we have analysed a sample of
48 Large Magellanic Cloud ACs, for which identification and optical magnitudes
were obtained from the OGLE III and IV catalogues. The VMC $K_\mathrm{s}$-band
light curves for ACs are well sampled, with the number of epochs ranging from 8
to 16, and allowing us to obtain very precise mean $K_\mathrm{s}$ magnitudes
with errors on average of the order of 0.01 mag. The $\langle K_\mathrm{s}
\rangle$ values were used to build the first Period-Luminosity and
Period-Wesenheit relations in the near-infrared for fundamental-mode and first
overtone ACs. At the same time we exploited the optical ($V,I$) OGLE data to
build accurate Period-Luminosity, Period-Luminosity-Colour and Period-Wesenheit
relations both for fundamental-mode and first overtone ACs. For the first time
these relations were derived from a sample of pulsators which uniformly cover
the whole AC instability strip. The application of the optical Period-Wesenheit
relation to a sample of dwarf galaxies hosting a significant population of ACs
revealed that this relation is a valuable tool for deriving distances within
the Local Group. Due to its lower dispersion, we expect the $K_\mathrm{s}$
Period-Wesenheit relations first derived in this paper to represent a valuable
tool for measuring accurate distances to galaxies hosting ACs when more data in
near-infrared filters become available.


title: A Cell-Level Mechanism of Contrast Gain Control

abstract:
  The gain of neurons' responses in the auditory cortex is sensitive to
contrast changes in the stimulus within a spectrotemporal range similar to
their receptive fields, which can be interpreted to represent the tuning of the
input to a neuron. This indicates a local mechanism of contrast gain control,
which we explore with a minimal mechanistic model here. Gain control through
noisy input has been observed in vitro and in a range of computational models.
We investigate the behaviour of the simplest of such models to showcase gain
control, a stochastic leaky integrate-and-fire (sLIF) neuron, which exhibits
gain control through divisive normalisation of the input both with and without
accompanying subtractive shift of the input-response curve, depending on
whether input noise is proportional to or independent of its mean. To get a
more direct understanding of how the input statistics change the response, we
construct an analytic approximation to the firing rate of a sLIF neuron
constituted of the expression for the deterministic case and a weighted average
over the derived approximate steady-state distribution of conductance due to
poissonian synaptic inputs. This analytic approximation qualitatively produces
the same behaviour as simulations and could be extended by spectrotemporally
tuned inputs to give a simple, physiological and local mechanism of contrast
gain control in auditory sensing, building on recent experimental work that has
hitherto only been described by phenomenological models. By comparing our
weighted average firing rate curve with the commonly used sigmoidal
input-response function, we demonstrate a nearly linear relationship between
both the horizontal shift (or stimulus inflection point) and the inverse gain
of the sigmoid and statistics derived from the sLIF model parameters, thus
providing a structural constraint on the sigmoid parameter choice.


title: Multiplane 3D superresolution optical fluctuation imaging

abstract:
  By switching fluorophores on and off in either a deterministic or a
stochastic manner, superresolution microscopy has enabled the imaging of
biological structures at resolutions well beyond the diffraction limit.
Superresolution optical fluctuation imaging (SOFI) provides an elegant way of
overcoming the diffraction limit in all three spatial dimensions by computing
higher-order cumulants of image sequences of blinking fluorophores acquired
with a conventional widefield microscope. So far, three-dimensional (3D) SOFI
has only been demonstrated by sequential imaging of multiple depth positions.
Here we introduce a versatile imaging scheme which allows for the simultaneous
acquisition of multiple focal planes. Using 3D cross-cumulants, we show that
the depth sampling can be increased. Consequently, the simultaneous acquisition
of multiple focal planes reduces the acquisition time and hence the
photo-bleaching of fluorescent markers. We demonstrate multiplane 3D SOFI by
imaging the mitochondria network in fixed C2C12 cells over a total volume of
$65\times65\times3.5 \mu\textrm{m}^3$ without depth scanning.


title: Trapping atoms using nanoscale quantum vacuum forces

abstract:
  Quantum vacuum forces dictate the interaction between individual atoms and
dielectric surfaces at nanoscale distances. For example, their large strengths
typically overwhelm externally applied forces, which makes it challenging to
controllably interface cold atoms with nearby nanophotonic systems. Here, we
show that it is possible to tailor the vacuum forces themselves to provide
strong trapping potentials. The trapping scheme takes advantage of the
attractive ground state potential and adiabatic dressing with an excited state
whose potential is engineered to be resonantly enhanced and repulsive. This
procedure yields a strong metastable trap, with the fraction of excited state
population scaling inversely with the quality factor of the resonance of the
dielectric structure. We analyze realistic limitations to the trap lifetime and
discuss possible applications that might emerge from the large trap depths and
nanoscale confinement.


title: Jammed lattice sphere packings

abstract:
  We generate and study an ensemble of isostatic jammed hard-sphere lattices.
These lattices are obtained by compression of a periodic system with an
adaptive unit cell containing a single sphere until the point of mechanical
stability. We present detailed numerical data about the densities, pair
correlations, force distributions, and structure factors of such lattices. We
show that this model retains many of the crucial structural features of the
classical hard-sphere model and propose it as a model for the jamming and glass
transitions that enables exploration of much higher dimensions than are usually
accessible.


title:
An effective cavity resonance model for enhanced optical transmission
  through arrays of subwavelength apertures in metal films

abstract:
  We present a novel theoretical approach for modeling the resonant properties
of transmission through subwavelength apertures penetrating metal films. We
show that cavity mode theory applies to an effective resonant cavity whose
dimensions are determined by the aperture's geometry and the evanescent decay
lengths of the associated diffracted waves. This method suggests a concrete
physical mechanism for the enhanced transmission observed in periodic aperture
arrays, namely it is the evanescently scattered light, localized in the near
field of metal surface, which couples into the apertures. Furthermore, it
analytically predicts the frequencies of peaks in enhanced transmission, the
quality factor of the peaks, and explains their dependence on variation in the
hole radius, periodicity, and the film thickness over a wide range of
geometries. This model demonstrates strong correlation to simulation and
existing results with a high degree of accuracy.


title: On rate of convergence for infinite server Erlang-Sevastyanov's problem

abstract:
  Polynomial convergence rates in total variation are established in
Erlang-Sevastyanov's type problem with an infinite number of servers and a
general distribution of service under assumptions on the intensity of serving.


title: Flavour violating bosonic squark decays at LHC

abstract:
  Quark flavour conserving (QFC) fermionic squark decays, such as ~t_{1,2} -> t
neutralino_i, are usually assumed in squark search analyses. Here we study
quark flavour violating (QFV) bosonic squark decays, such as ~u_2 -> ~u_1
h^0/Z^0, where the mass eigenstates ~u_{1,2} are mixtures of scharm and stop
quarks. We show that the branching ratios of such QFV decays can be very large
due to sizable ~c_R - ~t_{R/L} and ~t_R - ~t_L mixing effects despite the very
strong constraints on the QFV parameters from B meson data. This can result in
remarkable QFV signatures with significant rates at LHC (14 TeV), such as pp ->
gluino gluino X -> t c bar{c} bar{c} h^0/Z^0 missing-E_T X and pp -> gluino
gluino X -> t t bar{c} bar{c} h^0/Z^0 missing-E_T X. The QFV bosonic squark
decays can play an important role in the squark and gluino searches at LHC (14
TeV).


title:
Enhanced Upper Critical Fields in a New Quasi-one-dimensional
  Superconductor Nb2PdxSe5

abstract:
  We report a discovery of superconductivity with Tc = 5.5 K in Nb2PdxSe5, in
which one-dimensional (1D) Nb-Se chains existing along the b-direction
hybridize each other to form the conducting b-c* plane. The magnetic
susceptibility and specific heat data in both single- and poly-crystals show
evidence of bulk superconductivity. The resistivity, Hall coefficient, and
magneto-resistance data all indicate the presence of an energy scale T* = ~ 50
K, which becomes systematically lowered under hydrostatic pressure and competes
with the stabilization of superconductivity. Combined with the band calculation
results showing the Fermi surfaces with 1D character, we postulate that the
energy scale T* is related to a formation of a density wave or a stabilization
of low dimensional electronic structure. The zero temperature upper critical
field, Hc2(0), of the single crystal is found to be 10.5, 35 and 22 T in the
a', b and c*-directions, respectively. While the linearly increasing Hc2(T) for
H // c* indicates the multi-band effect, Hc2(0) for H // b and c* are found to
be much bigger than the BCS Pauli limiting field, 1.84 Tc ~ 9 T. The suppressed
Pauli paramagnetic effect points to a possibility of the enhanced spin-orbit
scattering related to the low dimensional electronic structure or the presence
of heavy elements such as Pd.


title: Thermodynamics and flow-frames for dissipative relativistic fluids

abstract:
  A general thermodynamic treatment of dissipative relativistic fluids is
introduced, where the temperature four vector is not parallel to the velocity
field of the fluid. Generic stability and kinetic equilibrium points out a
particular thermodynamics, where the temperature vector is parallel to the
enthalpy flow vector and the choice of the flow fixes the constitutive
functions for viscous stress and heat. The linear stability of the homogeneous
equilibrium is proved in a mixed particle-energy flow-frame.


title: Propulsion by a Helical Flagellum in a Capillary Tube

abstract:
  We study the microscale propulsion of a rotating helical filament confined by
a cylindrical tube, using a boundary-element method for Stokes flow that
accounts for helical symmetry. We determine the effect of confinement on
swimming speed and power consumption. Except for a small range of tube radii at
the tightest confinements, the swimming speed at fixed rotation rate increases
monotonically as the confinement becomes tighter. At fixed torque, the swimming
speed and power consumption depend only on the geometry of the filament
centerline, except at the smallest pitch angles for which the filament
thickness plays a role. We find that the `normal' geometry of
\textit{Escherichia coli} flagella is optimized for swimming efficiency,
independent of the degree of confinement. The efficiency peaks when the arc
length of the helix within a pitch matches the circumference of the cylindrical
wall. We also show that a swimming helix in a tube induces a net flow of fluid
along the tube.


title: Rosenberg's Reconstruction Theorem (after Gabber)

abstract:
  Alexander L. Rosenberg has constructed a spectrum for abelian categories
which is able to reconstruct a quasi-separated scheme from its abelian category
of quasi-coherent sheaves. In this note we present a detailed proof of this
result which is due to Ofer Gabber.


title: Order-disorder phase transition on the (100) surface of magnetite

abstract:
  Using low-energy electron diffraction, we show that the room-temperature
$(\sqrt{2}\times\sqrt{2})R45^\circ$ reconstruction of Fe$_3$O$_4$(100)
reversibly disorders at $\sim$450 $^\circ$C. Short-range order persists above
the transition, suggesting that the transition is second order and Ising-like.
We interpret the transition in terms of a model in which sub-surface Fe$^{3+}$
is replaced by Fe$^{2+}$ as the temperature is raised. This model reproduces
the structure of antiphase boundaries previously observed with STM as well as
the continuous nature of the transition. To account for the observed transition
temperature, the energy cost of each charge rearrangement is 82 meV.


title: Vehicular Inter-Networking via Named Data

abstract:
  In this paper we apply the Named Data Networking, a newly proposed Internet
architecture, to networking vehicles on the run. Our initial design, dubbed
V-NDN, illustrates NDN's promising potential in providing a unifying
architecture that enables networking among all computing devices independent
from whether they are connected through wired infrastructure, ad hoc, or
intermittent DTN. This paper describes the prototype implementation of V-NDN
and its preliminary performance assessment.


title: Stable maps to rational curves and the relative Jacobian

abstract:
  We consider two cycles on the moduli space of compact type curves and prove
that they coincide. The first is defined by pushing forward the virtual
fundamental classes of spaces of relative stable maps to an unparameterized
rational curve, while the second is obtained as the intersection of the Abel
section of the universal Jacobian with the zero section. Our comparison extends
results of Cavalieri-Marcus-Wise where the same identity was proved over on the
locus of rational tails curves.