title: Ratcheted diffusion transport through crowded nanochannels

abstract:
  The problem of transport through nanochannels is one of the major questions
in cell biology, with a wide range of applications. Brownian ratchets are
fundamental in various biochemical processes, and are roughly divided into two
categories: active (usually ATP-powered) molecular motors and passive
constructions with a directional bias, where the transport is driven by thermal
motion. In this paper we discuss the latter process, of spontaneous
translocation of molecules (Brownian particles) by ratcheted diffusion with no
external energy input: a problem relevant for protein translocation along
bacterial flagella or injectosome complex, or DNA translocation by
bacteriophages. We use molecular dynamics simulations and statistical theory to
identify two regimes of transport: at low rate of particles injection into the
channel the process is controlled by the individual diffusion towards the open
end (the first passage problem), while at a higher rate of injection the
crowded regime sets in. In this regime the particle density in the channel
reaches a constant saturation level and the resistance force increases
substantially, due to the osmotic pressure build-up. To achieve a steady-state
transport, the apparatus that injects new particles into a crowded channel has
to operate with an increasing power consumption, proportional to the length of
the channel and the required rate of transport. The analysis of resistance
force, and accordingly -- the power required to inject the particles into a
crowded channel to oversome its clogging, is also relevant for many
microfluidics applications.


title: Conformal mappings and first eigenvalue of Laplacian on surfaces

abstract:
  In this note we give a simple relation between conformal mapping and the
first eigenvalue of Laplacian for surfaces in Euclidean spaces.


title: Understanding predictive information criteria for Bayesian models

abstract:
  We review the Akaike, deviance, and Watanabe-Akaike information criteria from
a Bayesian perspective, where the goal is to estimate expected
out-of-sample-prediction error using a biascorrected adjustment of
within-sample error. We focus on the choices involved in setting up these
measures, and we compare them in three simple examples, one theoretical and two
applied. The contribution of this review is to put all these information
criteria into a Bayesian predictive context and to better understand, through
small examples, how these methods can apply in practice.


title: Convincing Evidence

abstract:
  Textbooks on statistics emphasize care and precision, via concepts such as
reliability and validity in measurement, random sampling and treatment
assignment in data collection, and causal identification and bias in
estimation. But how do researchers decide what to believe and what to trust
when choosing which statistical methods to use? How do they decide the
credibility of methods? Statisticians and statistical practitioners seem to
rely on a sense of anecdotal evidence based on personal experience and on the
attitudes of trusted colleagues. Authorship, reputation, and past experience
are thus central to decisions about statistical procedures.


title:
Study of the cofactor conditions: conditions of supercompatibility
  between phases

abstract:
  The cofactor conditions, introduced in James and Zhang, are conditions of
compatibility between phases in martensitic materials. They consist of three
subconditions: i) the condition that the middle principal stretch of the
transformation stretch tensor $\mathbf U$ is unity ($\lambda_2 = 1$), ii) the
condition $\mathbf a \cdot \mathbf U\, \cof (\mathbf U^2 - \mathbf I)\mathbf n
= 0$, where the vectors $\mathbf a$ and $\mathbf n$ are certain vectors arising
in the specification of the twin system, and iii) the inequality ${\rm tr}
\mathbf U^2 + \det \mathbf U^2 -(1/4) |\mathbf a|^2 |\mathbf n|^2\ge 2$.
Together, these conditions are necessary and sufficient for the equations of
the crystallographic theory of martensite to be satisfied for the given twin
system but for any volume fraction f of the twins, $0 \le f \le 1$. This
contrasts sharply with the generic solutions of the crystallographic theory
which have at most two such volume fractions for a given twin system of the
form $f^*$ and $1-f^*$. In this paper we simplify the form of the cofactor
conditions, we give their specific forms for various symmetries and twin types,
we clarify the extent to which the satisfaction of the cofactor conditions for
one twin system implies its satisfaction for other twin systems. In particular,
we prove that the satisfaction of the cofactor conditions for either Type I or
Type II twins implies that there are solutions of the crystallographic theory
using these twins that have no elastic transition layer. We show that the
latter further implies macroscopically curved, transition-layer-free
austenite/martensite interfaces for Type I twins, and planar
transition-layer-free interfaces for Type II twins which nevertheless permit
significant flexibility of the martensite. We identify some real material
systems nearly satisfying the cofactor conditions.


title: Complete multipartite graphs are determined by their distance spectra

abstract:
  It is well known that the complete multipartite graphs can not be determined
by their adjacency spectra. But in this paper, we prove that they can be
determined by their distance spectra, which confirms the conjecture proposed by
Lin, Hong, Wang and Shu.


title: Observing the inhomogeneity in the holographic models of superconductors

abstract:
  We study the gravity duals of striped holographic superconductors in the AdS
black hole and AdS soliton backgrounds. We show the dependences of the
condensation and the critical temperature/critical chemical potential on the
inhomogeneity in these two different spacetimes. By exploring the dynamics of
the normal phase through the scalar field perturbation, we argue that the pair
susceptibility and the conductivity can be possible phenomenological
indications to disclose the property of inhomogeneity.


title: Brick Walls for Black Holes in AdS/CFT

abstract:
  We study the 't Hooft's brick wall model for black holes in a holographic
context. The brick wall model suggests that without an appropriate near horizon
IR cut-off, the free energy of the probe fields show the divergence due to the
large degenerate states near the horizons. After studying the universal nature
of the divergence in various holographic setting in various dimensions, we
interpret the nature of the divergence in a holographic context. The free
energy divergence is due to the large degeneracy and continuity of the low
energy spectrum in the boundary theory at the deconfinement phase. These
divergence and continuity should be removed by finite N effects, which make the
spectrum discrete even at the deconfinement phase. On the other hand, in the
bulk, these degenerate states are localized near the horizon, and the universal
divergence of these degenerate states implies that the naive counting of the
degrees of freedom in bulk should be modified once we take into account the
non-perturbative quantum gravity effects near the horizon. Depending on the
microscopic degrees of freedom, the position, where the effective field theory
description to count the states breaks down, has different Planck scale
dependence. It also implies the difficulty to have an electron like
gauge-singlet elementary field in the boundary theory Lagrangian. These singlet
fields are at most composite fields, because they show divergent free energy,
suggesting a positive power of N at the deconfinement phase.


title:
A Near-Optimal Dynamic Learning Algorithm for Online Matching Problems
  with Concave Returns

abstract:
  We consider an online matching problem with concave returns. This problem is
a significant generalization of the Adwords allocation problem and has vast
applications in online advertising. In this problem, a sequence of items arrive
sequentially and each has to be allocated to one of the bidders, who bid a
certain value for each item. At each time, the decision maker has to allocate
the current item to one of the bidders without knowing the future bids and the
objective is to maximize the sum of some concave functions of each bidder's
aggregate value. In this work, we propose an algorithm that achieves
near-optimal performance for this problem when the bids arrive in a random
order and the input data satisfies certain conditions. The key idea of our
algorithm is to learn the input data pattern dynamically: we solve a sequence
of carefully chosen partial allocation problems and use their optimal solutions
to assist with the future decision. Our analysis belongs to the primal-dual
paradigm, however, the absence of linearity of the objective function and the
dynamic feature of the algorithm makes our analysis quite unique.


title: Measurement of the Wrong-Sign Decay D0 -> K+ pi- pi+ pi-

abstract:
  A measurement of the rate for the "wrong-sign" decay D0 -> K+ pi- pi+ pi-
relative to that for the "right-sign" decay D0 -> K- pi+ pi+ pi- is presented.
Using 791 fb-1 of data collected with the Belle detector, we obtain a branching
fraction ratio of R_WS = [0.324 +- 0.008 (stat) +- 0.007 (sys)]%. Multiplying
this ratio by the world average value for the branching fraction B(D0 -> K- pi+
pi+ pi-) gives a branching fraction B(D0 -> K+ pi- pi+ pi-) = (2.61 +- 0.06
+0.09 -0.08) x 10-4.


title:
SSS J122221.7-311523: Double Superoutburst in a Best Candidate Period
  Bouncer

abstract:
  We observed the 2012-2013 superoutburst of the newly identified transient SSS
J122221.7-311523 and found that this object showed successive two
superoutbursts. Superhumps grew in amplitude during the second superoutburst
and showed a characteristic pattern of period change reflecting the growth of
the superhump. Assuming that the periods of superhumps during the growing stage
[0.07721(1) d] and post-superoutburst stage [0.07673(3) d], represent the
dynamical precession rates at the radius of the 3:1 resonance and the radius
immediately after the superoutburst, respectively, we found that this object
has a very small mass ratio q=M2/M1 < 0.05. The possible orbital period from
quiescent data suggests q=0.045, one of the smallest among hydrogen-rich
cataclysmic variables. The long orbital period and low q make this object a
perfect candidate for a period bouncer. We suggest that the peculiar pattern of
double superoutburst is a result of a low q and may be characteristic to period
bouncers.


title: 3-D Integrated Flexible Glass Photonics

abstract:
  Photonic integration on plastic substrates enables emerging applications
ranging from flexible interconnects to conformal sensors on biological tissues.
Such devices are traditionally fabricated using pattern transfer, which is
complicated and has limited integration capacity. Here we pioneered a
monolithic approach to realize flexible, high-index-contrast glass photonics
with significantly improved processing throughput and yield. Noting that the
conventional multilayer bending theory fails when laminates have large elastic
mismatch, we derived a mechanics theory accounting for multiple neutral axes in
one laminated structure to accurately predict its strain-optical coupling
behavior. Through combining monolithic fabrication and local neutral axis
designs, we fabricated devices that boast record optical performance
(Q=460,000) and excellent mechanical flexibility enabling repeated bending down
to sub-millimeter radius without measurable performance degradation, both of
which represent major improvements over state-of-the-art. Further, we
demonstrate that our technology offers a facile fabrication route for 3-D
high-index-contrast photonics difficult to process using traditional methods.


title: Thermodynamic stability of new phase Bi12.5Sm1.5ReO24.5

abstract:
  The Bi12.5Sm1.5ReO24.5 phase has been synthesized for the first time. The
preparation of Bi12.5Sm1.5ReO24.5 has been performed by solid-state reaction
from Bi2O3, Gd2O3, Re2O7. The X-ray measurements have showed that
Bi12.5Sm1.5ReO24.5 was cubic structure (space group Fm3m). The standard molar
enthalpy of formation of Bi12.5Sm1.5ReO24.5 has been determined by solution
calorimetry combining the enthalpies of dissolution of Bi12.5Sm1.5ReO24.5 and
6.25Bi2O3 + 0.75Sm2O3 + 0.5Re2O7 mixture in 2 M HCl and literature data. It has
been obtained that above-mentioned phase is thermodynamically stable with
respect to their decomposition into binary oxides at room temperatures.


title:
A Comprehensive Study of Gamma-Ray Burst Optical Emission: III.
  Brightness Distributions and Luminosity Functions of Optical Afterglows

abstract:
  We continue our systematic statistical study on optical afterglow data of
gamma-ray bursts (GRBs). We present the apparent magnitude distributions of
early optical afterglows at different epochs (t= 10^2 s, t = 10^3 s, and 1
hour) for the optical lightcurves of a sample of 93 GRBs (the global sample),
and for sub-samples with an afterglow onset bump or a shallow decay segment.
For the onset sample and shallow decay sample we also present the brightness
distribution at the peak time t_{p} and break time t_{b}, respectively. All the
distributions can be fit with Gaussian functions. We further perform Monte
Carlo simulations to infer the luminosity function of GRB optical emission at
the rest-frame time 10^3 seconds, t_{p}, and t_{b}, respectively. Our results
show that a single power-law luminosity function is adequate to model the data,
with indices -1.40+/-0.10, -1.06+/- 0.16, and -1.54\+/- 0.22, respectively.
Based on the derived rest-frame 10^3 s luminosity function, we generate the
intrinsic distribution of the R-band apparent magnitude M_{R} at the observed
time 10^{3} seconds post trigger, which peaks at M_{R}=22.5 mag. The fraction
of GRBs whose R-band magnitude is fainter than 22 mag, and 25 mag and at the
observer time 10^3 seconds are ~63% and ~25%, respectively. The detection
probabilities of the optical afterglows with ground-based robotic telescopes
and UVOT onboard {Swift} are roughly consistent with that inferred from this
intrinsic M_{R} distribution, indicating that the variations of the dark GRB
fraction among the samples with different telescopes may be due to the
observational selection effect, although the existence of an intrinsically dark
GRB population cannot be ruled out.


title: Solution calorimetry investigations of new phase BaCe0.6Y0.3In0.1O2.8

abstract:
  The preparation of BaCeO3 doped by yttrium and indium oxides
(BaCe0.6Y0.3In0.1O2.8) has been performed by solid-state reaction from BaCO3,
CeO2, Y2O3, In2O3. The compound BaCe0.6Y0.3In0.1O2.8 has been synthesized for
the first time. The X-ray measurements have showed that BaCe0.6Y0.3In0.1O2.8
has an orthorhombic structure (space group Pmcn). The standard formation
enthalpies of BaCe0.6Y0.3In0.1O2.8 have been determined by solution calorimetry
combining the solution enthalpies of BaCe0.6Y0.3In0.1O2.8 and BaCl2 + 0.6CeCl3
+ 0.3YCl3 + 0.1InCl3 mixtures in 1 M HCl with 0.1 M KI at 298.15 K and
literature data. It has been obtained that above-mentioned mixed oxide is
thermodynamically stable with respect to their decomposition into binary oxides
at room temperatures. It has been also shown that BaCe0.6Y0.3In0.1O2.8 has been
more thermodynamically favored than BaCe0.9In0.1O2.95.


title:
Direct observation of the bandwidth control Mott transition in the
  NiS$_{2-x}$Se$_x$ multiband system

abstract:
  The bulk electronic structure of NiS$_{2-x}$Se$_x$ is studied across the
bandwidth-control Mott transition (BCMT) by soft X-ray angle-resolved
photoemission spectroscopy. The microscopic picture of the BCMT in this
multiband non-half-filled system is revealed for the first time. We show that
Se doping does not alter the Fermi surface volume. When approaching the
insulating phase with decreasing Se concentration, we observed that the Fermi
velocity continuously decreases. Meanwhile, the coherent quasiparticle weight
continuously decreases and is transferred to higher binding energies, until it
suddenly disappears across the Mott transition. In the insulating phase, there
is still finite spectral weight at the Fermi energy, but it is incoherent and
dispersionless due to strong correlations. Our results provide a direct
observation of BCMT, and unveil its distinct characters in a multiband
non-half-filled system.


title:
A unified modeling approach for the static-dynamic uncertainty strategy
  in stochastic lot-sizing

abstract:
  In this paper, we develop mixed integer linear programming models to compute
near-optimal policy parameters for the non-stationary stochastic lot sizing
problem under Bookbinder and Tan's static-dynamic uncertainty strategy. Our
models build on piecewise linear upper and lower bounds of the first order loss
function. We discuss different formulations of the stochastic lot sizing
problem, in which the quality of service is captured by means of backorder
penalty costs, non-stockout probability, or fill rate constraints. These models
can be easily adapted to operate in settings in which unmet demand is
backordered or lost. The proposed approach has a number of advantages with
respect to existing methods in the literature: it enables seamless modelling of
different variants of the above problem, which have been previously tackled via
ad-hoc solution methods; and it produces an accurate estimation of the expected
total cost, expressed in terms of upper and lower bounds. Our computational
study demonstrates the effectiveness and flexibility of our models.


title:
Analytical model of the magnetic field enhancement at pits on the
  surface of superconducting accelerating cavity

abstract:
  A simple model of the magnetic field enhancement at pits on the surface of
superconducting accelerating cavity is proposed. The model consists of a
two-dimensional pit with a slope angle, depth, width, and radius of round edge.
An analytical formula that describes the magnetic field enhancement factor of
the model is derived. The formula is given as a function of a slope angle and a
ratio of half a width to a round-edge radius. Agreements between the formula
and numerical calculations are also demonstrated. Using the formula, the field
vortices start to penetrate can be evaluated for a given geometry of pit.


title: Online Optimization in Dynamic Environments

abstract:
  High-velocity streams of high-dimensional data pose significant "big data"
analysis challenges across a range of applications and settings. Online
learning and online convex programming play a significant role in the rapid
recovery of important or anomalous information from these large datastreams.
While recent advances in online learning have led to novel and rapidly
converging algorithms, these methods are unable to adapt to nonstationary
environments arising in real-world problems. This paper describes a dynamic
mirror descent framework which addresses this challenge, yielding low
theoretical regret bounds and accurate, adaptive, and computationally efficient
algorithms which are applicable to broad classes of problems. The methods are
capable of learning and adapting to an underlying and possibly time-varying
dynamical model. Empirical results in the context of dynamic texture analysis,
solar flare detection, sequential compressed sensing of a dynamic scene,
traffic surveillance,tracking self-exciting point processes and network
behavior in the Enron email corpus support the core theoretical findings.


title:
Honeycomb Heisenberg Spin Ladder: Unusual Ground State and Thermodynamic
  Properties

abstract:
  The unusual ground state and thermodynamic properties of spin-1/2 two-leg
honeycomb (HC) spin ladder are systematically studied by jointly utilizing
various analytical and numerical methods. The HC spin ladder is found to
exhibit behaviors dramatically different from those of the conventional square
spin ladder. A strong relevant term nJ and a half saturation magnetization
plateau that can be attributed to the formation of diluted dimer states are
observed in the HC ladder, both of which are absent in the square ladder. The
ground state phase diagram of the HC spin ladder is identified, and the
thermodynamic properties of the specific heat and susceptibility for different
couplings are thoroughly explored, where two kinds of excitations are unveiled.
The distinct Wilson ratios for both spin ladders at the lower critical fields
are also obtained. Our calculated result is well fitted to the experimental
data of the two-leg HC spin ladder compound [Cu2L1(N3)4]n.


title: Nonequilibrium dynamical cluster theory

abstract:
  We study the effect of spatially nonlocal correlations on the nonequilibrium
dynamics of interacting fermions by constructing the nonequilibrium dynamical
cluster theory, a cluster generalization of the nonequilibrium dynamical
mean-field theory (DMFT). The formalism is applied to interaction quenches in
the Hubbard model in one and two dimensions, and the results are compared with
data from single-site DMFT, the time-dependent density matrix renormalization
group, and lattice perturbation theory. Both in one and two dimensions the
double occupancy quickly thermalizes, while the momentum distribution relaxes
only on much longer time scales. For the two-dimensional square lattice we find
a strongly momentum-dependent evolution of the momentum distribution around the
Fermi energy, with a much faster relaxation near the momenta $(0,\pi)$ and
$(\pi,0)$ than near $(\pi/2,\pi/2)$. This result is interpreted as reflecting
the momentum-anisotropic quasiparticle lifetime of the marginal Fermi liquid.
The method is further applied to the two-dimensional Hubbard model driven by a
dc electric field, where the damping of the Bloch oscillation of the current is
found to be less effective than predicted by DMFT and lattice perturbation
theory.


title:
Anomalous-Magnetic-Moment Effects in a Strongly Magnetized and Dense
  Medium

abstract:
  We investigate the quantum corrections of the anomalous magnetic moment (AMM)
for fermions in the presence of a strong magnetic field using the Ritus's
approach. At strong fields the particles get different AMM's depending on the
LL's. This result is different from what is obtained with the Schwinger's
approximation at weak field where the AMM is independent of the LL. We analyze
the significance of the AMM contribution to the Equation of State (EoS) of the
magnetized system, in the weak and strong field approximations.


title:
Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making
  inflation exponentially more probable

abstract:
  It is known that the no-boundary proposal in the traditional Einstein gravity
does not prefer inflation, that is, the probability of realizing a large number
of e-folds is exponentially suppressed. This situation may be changed
drastically in a class of nonlinear massive gravity theories recently proposed
by deRham, Gabadadze and Tolley, called dRGT massive gravity. We show that the
contribution from the massive gravity sector can enhance the probability of a
large number of e-folds substantially for a sufficiently large mass parameter
mg comparable to the Hubble parameter during inflation, say $m_g \gtrsim
10^{12}$ GeV. We illustrate possible models to trigger such a large mass
parameter in the early universe while it is negligibly small in the present
universe. This opens a new window to explore the inflationary scenario in the
context of quantum cosmology.


title: Entropic cosmology for a generalized black-hole entropy

abstract:
  An entropic-force scenario, i.e., entropic cosmology, assumes that the
horizon of the universe has an entropy and a temperature. In the present study,
in order to examine entropic cosmology, we derive entropic-force terms not only
from the Bekenstein entropy but also from a generalized black-hole entropy
proposed by C. Tsallis and L.J.L. Cirto [Eur. Phys. J. C \textbf{73}, 2487
(2013)]. Unlike the Bekenstein entropy, which is proportional to area, the
generalized entropy is proportional to volume because of appropriate
nonadditive generalizations. The entropic-force term derived from the
generalized entropy is found to behave as if it were an extra driving term for
bulk viscous cosmology, in which a bulk viscosity of cosmological fluids is
assumed. Using an effective description similar to bulk viscous cosmology, we
formulate the modified Friedmann, acceleration, and continuity equations for
entropic cosmology. Based on this formulation, we propose two entropic-force
models derived from the Bekenstein and generalized entropies. In order to
examine the properties of the two models, we consider a homogeneous, isotropic,
and spatially flat universe, focusing on a single-fluid-dominated universe. The
two entropic-force models agree well with the observed supernova data.
Interestingly, the entropic-force model derived from the generalized entropy
predicts a decelerating and accelerating universe, as for a fine-tuned standard
$\Lambda$CDM (lambda cold dark matter) model, whereas the entropic-force model
derived from the Bekenstein entropy predicts a uniformly accelerating universe.


title:
New Strong Line Abundance Diagnostics for \HII Regions: Effects of
  $\kappa$-Distributed Electron Energies and New Atomic Data

abstract:
  Recently, \citet{Nicholls12}, inspired by \emph{in situ} observations of
solar system astrophysical plasmas, suggested that the electrons in \HII
regions are characterised by a $\kappa$-distribution of electron energies
rather than by a simple Maxwell-Boltzmann distribution. Here we have collected
together the new atomic data within a modified photoionisation code to explore
the effects of both the new atomic data and the $\kappa$-distribution on the
strong-line techniques used to determine chemical abundances in \HII regions.
By comparing the recombination temperatures ($T_{\rm rec}$) with the forbidden
line temperatures ($T_{\rm FL}$) we conclude that $ \kappa \sim 20$. While
representing only a mild deviation from equilibrium, this is sufficient to
strongly influence abundances determined using methods which depend on
measurements of the electron temperature from forbidden lines. We present a
number of new emission line ratio diagnostics which cleanly separate the two
parameters determining the optical spectrum of \HII regions - the ionisation
parameter $q$ or $\cal{U}$ and the chemical abundance; 12+log(O/H). An
automated code to extract these parameters is presented. Using the homogeneous
dataset from \citet{vanZee98}, we find self-consistent results between all
these different diagnostics. The systematic errors between different line ratio
diagnostics are much smaller than was found in the earlier strong line work.
Overall the effect of the $\kappa$-distribution on the strong line abundances
derived solely on the basis of theoretical models is rather small.


title: A universal setup for active control of a single-photon detector

abstract:
  The influence of bright light on a single-photon detector has been described
in a number of recent publications. The impact on quantum key distribution
(QKD) is important, and several hacking experiments have been tailored to fully
control single-photon detectors. Special attention has been given to avoid
introducing further errors into a QKD system. We describe the design and
technical details of an apparatus which allows to attack a
quantum-cryptographic connection. This device is capable of controlling
free-space and fiber-based systems and of minimizing unwanted clicks in the
system. With different control diagrams, we are able to achieve a different
level of control. The control was initially targeted to the systems using BB84
protocol, with polarization encoding and basis switching using beamsplitters,
but could be extended to other types of systems. We further outline how to
characterize the quality of active control of single-photon detectors.


title: Cornering electroweakinos at the LHC

abstract:
  Squeezed supersymmetric spectra are challenging for the LHC searches based on
a sizable missing energy and hard visible particles. One such scenario consists
of chargino/second-lightest neutralino NLSPs and a lightest neutralino LSP with
a relatively small mass gap (10-50GeV). In this note, we explore search
strategies to better probe this parameter space. We focus on the three-lepton
plus missing energy channel arising from the chargino/second-lightest
neutralino associated production, and we investigate the role of a relatively
hard initial state radiation (ISR) jet. In addition to typical kinematic
variables, such as the minimum lepton pair invariant mass, we propose an
angular separation variable and two ratio variables which capitalize on the
main kinematic features; leptons stay relatively soft under the boost from ISR
and a sizable missing energy arises only in tight correlation with the ISR
boost. With 300/fb of data at the 14 TeV LHC, we expect to probe
electroweakinos up to 320 (700) GeV with 30GeV mass-gap and up to 220 (620) GeV
with 20GeV mass-gap if gauginos decay via gauge bosons (light sleptons). We
emphasize that the three-lepton channel is technically challenging for mass-gap
below 12GeV.


title:
Effective-Hamiltonian parameters for \emph{ab initio} energy-level
  calculations of SrCl$_{2}$:Yb$^{2+}$ and CsCaBr$_{3}$:Yb$^{2+}$

abstract:
  Calculated energy levels from recent \emph{ab initio} studies of the
electronic structure of SrCl$_{2}$:Yb$^{2+}$ and CsCaBr$_{3}$:Yb$^{2+}$ are
fitted with a semi-empirical "crystal-field" Hamiltonian, which acts within the
model space $4f^{14} + 4f^{13}5d + 4f^{13}6s$. Parameters are obtained for the
minima of the potential-energy curves for each energy level and also for a
range of anion-cation separations. The parameters are compared with published
results parameters fitted to experimental data and to atomic calculations. The
states with significant $4f^{13}6s$ character give a good approximation of the
impurity-trapped exciton states that appear in the \emph{ab initio}
calculations.


title:
Pressure effects and orbital characters in cuprate and carbon-based
  superconductors

abstract:
  Pressure effect is overviewed for the cuprates and carbon-based
superconductors, with an emphasis on how their orbital characters are modified
by pressure. For the high-Tc cuprates, we start from an observation for ambient
pressure that, on top of the main orbital (dx2-y2), a hybridization with the
second (dz2) orbital around the Fermi energy significantly affects Tc in the
spin-fluctuation mediated pairing, where the hybridization is dominated by
material parameters. We can then show that applying pressures along a, b axes
enhances Tc while a c axis pressure suppresses Tc, where not only the dz2
hybridization but also Cu(4s) hybridization exert an effect. For the
multi-layer cuprates, inter-layer pair hopping is suggested to be important,
which may contribute to pressure effect. Pressure effect is also interesting in
a recently discovered aromatic family of superconductors (picene, etc). There,
we have again multi-band systems, which in this case derive from different
molecular orbitals. The Fermi surface is an intriguing composite of different
pockets/sheets having different dimensionalities arising from anisotropic
transfers between the molecular orbitals, and pressure effects should be an
important probe of these.


title: Tools for model-independent bounds in direct dark matter searches

abstract:
  We discuss a framework (based on non-relativistic operators) and a
self-contained set of numerical tools to derive the bounds from some current
direct detection experiments on virtually any arbitrary model of Dark Matter
elastically scattering on nuclei.


title: Functoriality of the center of an algebra

abstract:
  The notion of the center of an algebra over a field k has a far reaching
generalization to algebras in monoidal categories. The center then lives in the
monoidal center of the original category. This generalization plays an
important role in the study of bulk-boundary duality of rational conformal
field theories. In this paper, we study functorial properties of the center. We
show that it gives rise to a 2-functor from the bicategory of semisimple
indecomposable module categories over a fusion category to the bicategory of
commutative algebras in the monoidal center of this fusion category. Morphism
spaces of the latter bicategory are extended from algebra homomorphisms to
certain categories of cospans. We conjecture that the above 2-functor arises
from a lax 3-functor between tricategories, and that in this setting one can
relax the conditions from fusion categories to finite tensor categories. We
briefly outline how one is naturally lead to the above 2-functor when studying
rational conformal field theory with defects of all codimensions. For example,
the cospans of the target bicategory correspond to spaces of defect fields and
to the bulk-defect operator product expansions.


title: The Nonlinear Schr\"odinger Equation and Conservation Laws

abstract: We analize the Nonlinear Schr\"odinger Equation.


title:
Polyakov loop fluctuations in SU(3) lattice gauge theory and an
  effective gluon potential

abstract:
  We calculate the Polyakov loop susceptibilities in the SU(3) lattice gauge
theory using the Symanzik improved gauge action on different-sized lattices.
The longitudinal and transverse fluctu- ations of the Polyakov loop, as well
as, that of its absolute value are considered. We analyze their properties in
relation to the confinement-deconfinement phase transition. We also present
results based on simulations of (2+1)-flavor QCD on 32^3 x 8 lattice using
Highly Improved Staggered Quark (HISQ) action by the HotQCD collaboration. The
influences of fermions on the Polyakov loop fluctuations are discussed. We
show, that ratios of different susceptibilities of the Polyakov loop are
sensitive probes for critical behavior. We formulate an effective model for the
Polyakov loop potential and constrain its parameters from existing quenched
lattice data including fluctuations. We emphasize the role of fluctuations to
fully explore the thermodynamics of pure gauge theory within an effective
approach.


title: ALMA observations of the Red Rectangle, a preliminary analysis

abstract:
  We aim to study equatorial disks in rotation and axial outflows in post-AGB
objects, as to disclose the formation and shaping mechanisms in planetary
nebulae. So far, both disks and outflows had not been observed simultaneously.
  We have obtained high-quality ALMA observations of 12CO and 13CO J=3-2 and
12CO J=6-5 line emission in the Red Rectangle, the only post-AGB/protoplanetary
object in which a disk in rotation has been mapped up to date.
  These observations provide an unprecedented description of the complex
structure of this source. Together with an equatorial disk in rotation, we find
a low-velocity outflow that occupies more or less the region placed between the
disk and the optical X-shaped nebula. From our observations and preliminary
modeling of the data, we confirm the previously known properties of the disk
and obtain a first description of the structure, dynamics, and physical
conditions of the outflow.


title: Band dependent emergence of heavy quasiparticles in CeCoIn5

abstract:
  We investigate the low temperature (T $<$ 2 K) electronic structure of the
heavy fermion superconductor CeCoIn5 (T$_c$ = 2.3 K) by angle-resolved
photoemission spectroscopy (ARPES). The hybridization between conduction
electrons and f-electrons, which ultimately leads to the emergence of heavy
quasiparticles responsible for the various unusual properties of such
materials, is directly monitored and shown to be strongly band dependent. In
particular the most two-dimensional band is found to be the least hybridized
one. A simplified multiband version of the Periodic Anderson Model (PAM) is
used to describe the data, resulting in semi-quantitative agreement with
previous bulk sensitive results from de-Haas-van-Alphen measurements.


title:
Mechanism of uniaxial magnetocrystalline anisotropy in transition metal
  alloys

abstract:
  Magnetocrystalline anisotropy in transition metal alloys (FePt, CoPt, FePd,
MnAl, MnGa, and FeCo) was studied using first-principles calculations to
elucidate its specific mechanism. The tight-binding linear muffin-tin orbital
method in the local spin-density approximation was employed to calculate the
electronic structure of each compound, and the anisotropy energy was evaluated
using the magnetic force theorem and the second-order perturbation theory in
terms of spin-orbit interactions. We systematically describe the mechanism of
uniaxial magnetocrystalline anisotropy in real materials and present the
conditions under which the anisotropy energy can be increased. The large
magnetocrystalline anisotropy energy in FePt and CoPt arises from the strong
spin-orbit interaction of Pt. In contrast, even though the spin-orbit
interaction in MnAl, MnGa, and FeCo is weak, the anisotropy energies of these
compounds are comparable to that of FePd. We found that MnAl, MnGa, and FeCo
have an electronic structure that is efficient in inducing the
magnetocrystalline anisotropy in terms of the selection rule of spin-orbit
interaction.


title: Unimodularity for multi-type Galton-Watson trees

abstract:
  Fix $n\in\mathbb{N}$. Let $\mathbf{T}_n$ be the set of rooted trees $(T,o)$
whose vertices are labeled by elements of $\{1,...,n\}$. Let $\nu$ be a
strongly connected multi-type Galton-Watson measure. We give necessary and
sufficient conditions for the existence of a measure $\mu$ that is reversible
for simple random walk on $\mathbf{T}_n$ and has the property that given the
labels of the root and its neighbors, the descendant subtrees rooted at the
neighbors of the root are independent multi-type Galton-Watson trees with
conditional offspring distributions that are the same as the conditional
offspring distributions of $\nu$ when the types are $\nu$ are ordered pairs of
elements of $[n]$. If the types of $\nu$ are given by the labels of vertices,
then we give an explicit description of such $\mu$.


title:
On estimates of solutions of Fokker--Planck--Kolmogorov equations with
  potential terms and non uniformly elliptic diffusion matrices

abstract:
  We consider Fokker--Planck--Kolmogorov equations with unbounded coefficients
and obtain upper estimates of solutions. We also obtain new estimates involving
Lyapunov functions.


title: The predictability of the Hirsch index evolution

abstract:
  The h-index can be used as a predictor of itself. However, the evolution of
the h-index with time is shown in the present investigation to be dominated for
several years by citations to previous publications rather than by new
scientific achievements. This inert behaviour of the h-index raises questions,
whether the h-index can be used profitably in academic appointment processes or
for the allocation of research resources.


title: Minima and maxima of elliptical arrays and spherical processes

abstract:
  In this paper, we investigate first the asymptotics of the minima of
elliptical triangular arrays. Motivated by the findings of Kabluchko (Extremes
14 (2011) 285-310), we discuss further the asymptotic behaviour of the maxima
of elliptical triangular arrays with marginal distribution functions in the
Gumbel or Weibull max-domain of attraction. We present an application
concerning the asymptotics of the maximum and the minimum of independent
spherical processes.


title:
Evolution and pulsation period change in the Large Magellanic Cloud
  Cepheids

abstract:
  Theoretical estimates of the pulsation period change rates in LMC Cepheids
are obtained from consistent calculation of stellar evolution and nonlinear
stellar pulsation for stars with initial chemical composition X=0.7, Z=0.008,
initial masses 5M_\odot <= Mzams <= 9M_\odot and pulsation periods ranged from
2.2 to 29 day. The Cepheid hydrodynamical models correspond to the evolutionary
stage of thermonuclear core helium burning. During evolution across the
instability strip in the HR diagram the pulsation period of Cepheids is the
quadratic function of the evolution time for the both fundamental mode and
first overtone. Cepheids with initial masses Mzams >= 7M_\odot pulsate in the
fundamental mode and the period change rate \dot\Pi varies nearly by a factor
of two for both crossings of the instability strip. In the period -- period
change rate diagram the values of the period and \dot\Pi concentrate within the
strips, their slope and half--width depending on both the direction of the
movement in the HR--diagram and the pulsation mode. For oscillations in the
fundamental mode the half-widths of the strip are \delta\log\dot\Pi = 0.35 and
\delta\log\dot\Pi = 0.2 for the first and the second crossings of the
instability strip, respectively. Results of computations are compared with
observations of nearly 700 LMC Cepheids. Within existing observational
uncertainties of \dot\Pi the theoretical dependences of the period change rate
on the pulsation period are in a good agreement with observations.


title: The typical structure of sparse $K_{r+1}$-free graphs

abstract:
  Two central topics of study in combinatorics are the so-called evolution of
random graphs, introduced by the seminal work of Erd\H{o}s and R\'enyi, and the
family of $H$-free graphs, that is, graphs which do not contain a subgraph
isomorphic to a given (usually small) graph $H$. A widely studied problem that
lies at the interface of these two areas is that of determining how the
structure of a typical $H$-free graph with $n$ vertices and $m$ edges changes
as $m$ grows from $0$ to $\text{ex}(n,H)$. In this paper, we resolve this
problem in the case when $H$ is a clique, extending a classical result of
Kolaitis, Pr\"omel, and Rothschild. In particular, we prove that for every $r
\ge 2$, there is an explicit constant $\theta_r$ such that, letting $m_r =
\theta_r n^{2-\frac{2}{r+2}} (\log n)^{1/\left[\binom{r+1}{2}-1\right]}$, the
following holds for every positive constant $\varepsilon$. If $m \ge
(1+\varepsilon) m_r$, then almost all $K_{r+1}$-free $n$-vertex graphs with $m$
edges are $r$-partite, whereas if $n \ll m \le (1-\varepsilon)m_r$, then almost
all of them are not $r$-partite.


title:
Edge states induced by Iwatsuka Hamiltonians with positive magnetic
  fields

abstract:
  We study purely magnetic Schr\"odinger operators in two-dimensions $(x,y)$
with magnetic fields $b(x)$ that depend only on the $x$-coordinate. The
magnetic field $b(x)$ is assumed to be bounded, there are constants $0 < b_- <
b_+ < \infty$ so that $b_- \leq b(x) \leq b_+$, and outside of a strip of small
width $-\epsilon < x < \epsilon$, where $0 < \epsilon < b_-^{-1/2}$, we have
$b(x) = b_\pm x$ for $\pm x > \epsilon$. The case of a jump in the magnetic
field at $x=0$ corresponding to $\epsilon=0$ is also studied. We prove that the
magnetic field creates an effective barrier near $x=0$ that causes edge
currents to flow along it consistent with the classical interpretation. We
prove lower bounds on edge currents carried by states with energy localized
inside the energy bands of the Hamiltonian. We prove that these edge
current-carrying states are well-localized in $x$ to a region of size
$b_-^{-1/2}$, also consistent with the classical interpretation. We demonstrate
that the edge currents are stable with respect to various magnetic and electric
perturbations. For a family of perturbations compactly supported in the
$y$-direction, we prove that the time asymptotic current exists and satisfies
the same lower bound.


title: An alternative description of braided monoidal categories

abstract:
  We give an alternative presentation of braided monoidal categories. Instead
of the usual associativity and braiding we have just one constraint (the
b-structure). In the unital case, the coherence conditions for a b-structure
are shown to be equivalent to the usual associativity, unit and braiding
axioms. We also discuss the next dimensional version, that is, b-structures on
bicategories. As an application, we show how special b-categories result in the
Yang-Baxter equation, and how special b-bicategories produce Zamolodchikov's
tetrahedron equation. Finally, we define a cohomology theory (the b-cohomology)
which plays a role analogous to the one abelian group cohomology has for
braided monoidal categories.


title: On the representation of an integrated Gauss-Markov process

abstract:
  We find a representation of the integral of a Gauss-Markov process in the
interval [0, t], in terms of Brownian motion. Moreover, some connections with
first-passagetime problems are discussed, and some examples are reported.


title: Variational estimators for the parameters of Gibbs point process models

abstract:
  This paper proposes a new estimation technique for fitting parametric Gibbs
point process models to a spatial point pattern dataset. The technique is a
counterpart, for spatial point processes, of the variational estimators for
Markov random fields developed by Almeida and Gidas. The estimator does not
require the point process density to be hereditary, so it is applicable to
models which do not have a conditional intensity, including models which
exhibit geometric regularity or rigidity. The disadvantage is that the
intensity parameter cannot be estimated: inference is effectively conditional
on the observed number of points. The new procedure is faster and more stable
than existing techniques, since it does not require simulation, numerical
integration or optimization with respect to the parameters.


title:
Dielectric Environment Effect on Carrier Mobility of Graphene
  Double-Layer Structure

abstract:
  We have theoretically studied the dielectric environment effect on the
charged-impurity-limited carrier mobility of graphene double-layer structure
(GDLS) on the basis of the Boltzmann transport theory. In this system, two
graphene layers are separated by a dielectric barrier layer. It is pointed out
that the carrier mobility strongly depends on the dielectric constant of the
barrier layer when the interlayer distance becomes larger than the inverse of
the Fermi wave vector. Moreover, the conditions to improve the
charged-impurity-limited carrier mobility of the GDLS are evaluated.


title: Eviction of a 125 GeV "heavy"-Higgs from the MSSM

abstract:
  We prove that the present experimental constraints are already enough to rule
out the possibility of the ~125 GeV Higgs found at LHC being the second
lightest Higgs in a general MSSM context, even with explicit CP violation in
the Higgs potential. Contrary to previous studies, we are able to eliminate
this possibility analytically, using simple expressions for a relatively small
number of observables. We show that the present LHC constraints on the diphoton
signal strength, tau-tau production through Higgs and BR(B -> X_s gamma) are
enough to preclude the possibility of H_2 being the observed Higgs with m_H~125
GeV within an MSSM context, without leaving room for finely tuned
cancellations. As a by-product, we also comment on the difficulties of an MSSM
interpretation of the excess in the gamma-gamma production cross section
recently found at CMS that could correspond to a second Higgs resonance at
m_H~136 GeV.


title: Observation of Dirac plasmons in a topological insulator

abstract:
  Plasmons are the quantized collective oscillations of electrons in metals and
doped semiconductors. The plasmons of ordinary, massive electrons are since a
long time basic ingredients of research in plasmonics and in optical
metamaterials. Plasmons of massless Dirac electrons were instead recently
observed in a purely two-dimensional electron system (2DEG)like graphene, and
their properties are promising for new tunable plasmonic metamaterials in the
terahertz and the mid-infrared frequency range. Dirac quasi-particles are known
to exist also in the two-dimensional electron gas which forms at the surface of
topological insulators due to a strong spin-orbit interaction. Therefore,one
may look for their collective excitations by using infrared spectroscopy. Here
we first report evidence of plasmonic excitations in a topological insulator
(Bi2Se3), that was engineered in thin micro-ribbon arrays of different width W
and period 2W to select suitable values of the plasmon wavevector k. Their
lineshape was found to be extremely robust vs. temperature between 6 and 300 K,
as one may expect for the excitations of topological carriers. Moreover, by
changing W and measuring in the terahertz range the plasmonic frequency vP vs.
k we could show, without using any fitting parameter, that the dispersion curve
is in quantitative agreement with that predicted for Dirac plasmons.


title: Correct usage of transmission coefficient for timing the market

abstract:
  Traders and investors involved in an option contract having the underlying
stock in range bound are likely to lose their initial investment. Timing in
buying an option contract is of capital importance. In a recent article [1] the
hypothesis of range bound market is used in conjunction to Black-Scholes
equation to find the transmission coefficient relation that help market
professionals to correctly timing their investment and risk taking decisions.
The present paper explores the theoretical basis of transmission coefficient
and its empirical evidence on the market.


title: On data-based optimal stopping under stationarity and ergodicity

abstract:
  The problem of optimal stopping with finite horizon in discrete time is
considered in view of maximizing the expected gain. The algorithm proposed in
this paper is completely nonparametric in the sense that it uses observed data
from the past of the process up to time $-n+1$, $n\in\mathbb{N}$, not relying
on any specific model assumption. Kernel regression estimation of conditional
expectations and prediction theory of individual sequences are used as tools.
It is shown that the algorithm is universally consistent: the achieved expected
gain converges to the optimal value for $n\to\infty$ whenever the underlying
process is stationary and ergodic. An application to exercising American
options is given, and the algorithm is illustrated by simulated data.


title: Applications of pcf for mild large cardinals to elementary embeddings

abstract:
  The following pcf results are proved: 1. Assume that kappa > aleph_0 is a
weakly compact cardinal. Let mu > 2^kappa be a singular cardinal of cofinality
kappa. Then for every regular lambda < pp^+_{Gamma(kappa)} (mu) there is an
increasing sequence (lambda_i | i < kappa) of regular cardinals converging to
mu such that lambda = tcf(prod_{i < kappa} lambda_i, <_{J^{bd}_kappa}). 2. Let
mu be a strong limit cardinal and theta a cardinal above mu. Suppose that at
least one of them has an uncountable cofinality. Then there is sigma_* < mu
such that for every chi < theta the following holds: theta > sup{sup
pcf_{sigma_*-complete} (frak a) | frak a subseteq Reg cap (mu^+, chi) and |frak
a| < mu}. As an application we show that: if kappa is a measurable cardinal and
j:V to M is the elementary embedding by a kappa-complete ultrafilter over
kappa, then for every tau the following holds: 1. if j(tau) is a cardinal then
j(tau) = tau; 2. |j(tau)| = |j(j(tau))|; 3. for any kappa-complete ultrafilter
W on kappa, |j (tau)| = |j_W(tau)|. The first two items provide affirmative
answers to questions from Gitik and Shelah (1993) [2] and the thrid to a
question of D. Fremlin.


title:
Radiation Mechanism and Jet Composition of Gamma-Ray Bursts and GeV-TeV
  selected Radio Loud Active Galactic Nuclei

abstract:
  Gamma-ray bursts (GRBs) and GeV-TeV selected radio loud Active Galactic
Nuclei (AGNs) are compared based on our systematic modeling of the observed
spectral energy distributions of a sample of AGNs with a single-zone leptonic
model. We show that the correlation between the jet power (P_{jet}) and the
prompt gamma-ray luminosity (L_{jet}) of GRBs is consistent, within the
uncertainties, with the correlation between jet power and the synchrotron peak
luminosity (L_{s, jet}) of flat spectrum radio quasars (FSRQs). Their radiation
efficiencies (\varepsilon) are also comparable (>10% for most sources), which
increase with the bolometric jet luminosity (L_{bol,jet}) for FSRQs and with
the L_{jet} for GRBs with similar power-law indices. BL Lacs do not follow the
P_{jet}-L_{s, jet} relation of FSRQs. They have lower \varepsilon and L_{bol,
jet} values than FSRQs, and a tentative L_{bol, jet}-\varepsilon relation is
also found, with a power-law index being different from that of the FSRQs. The
magnetization parameters (\sigma) of FSRQs are averagely larger than that of BL
Lacs. They are anti-correlated with $\varepsilon$ for the FSRQs, but positive
correlated with \varepsilon for the BL Lacs. GeV Narrow-line Seyfert 1 galaxies
potentially share similar properties with FSRQs. Based on the analogy between
GRBs and FSRQs, we suggest that the prompt gamma-ray emission of GRBs is likely
produced by synchrotron process in a magnetized jet with high radiation
efficiency, similar to FSRQs. The jets of BL Lacs, on the other hand, are less
efficient and are likely more matter dominated.


title:
The Large-Volume Limit of a Quantum Tetrahedron is a Quantum Harmonic
  Oscillator

abstract:
  It is shown that the volume operator of a quantum tetrahedron is, in the
sector of large eigenvalues, accurately described by a quantum harmonic
oscillator. This result relies on the fact that (i) the volume operator couples
only neighboring states of its standard basis, and (ii) its matrix elements
show a unique maximum as a function of internal angular momentum quantum
numbers. These quantum numbers, considered as a continuous variable, are the
coordinate of the oscillator describing its quadratic potential, while the
corresponding derivative defines a momentum operator. We also analyze the
scaling properties of the oscillator parameters as a function of the size of
the tetrahedron, and the role of different angular momentum coupling schemes.


title:
Hot subdwarf stars in close-up view IV. Helium abundances and the $^3$He
  isotopic anomaly of subdwarf B star

abstract:
  Atmospheric parameters and helium abundances of 44 bright subdwarf B stars
have been determined. More than half of our sample consists of newly discovered
stars from the Edinburgh Cape survey. We showed that effective temperatures and
surface gravities can be derived from high resolution echelle spectra with
sufficient accuracy. Systematic uncertainties have been determined by comparing
the parameters derived from the high resolution data with the ones derived from
medium resolution spectra. Helium abundances have been measured with high
accuracy. Besides the known correlation of helium abundance with temperature,
two distinct sequences in helium abundance have been confirmed. Significant
isotopic shifts of helium lines due to an enrichment in $^{3}$He have been
found in the spectra of 8 sdBs. Most of these stars cluster in a small
temperature range between $27\,000\,{\rm K}$ and $31\,000\,{\rm K}$ very
similar to the known $^{3}$He-rich main sequence B stars, which also cluster in
such a small strip, but at different temperatures. Both the helium sequences
and the isotopic anomaly are discussed.


title:
Are benefits from oil - stocks diversification gone? New evidence from a
  dynamic copula and high frequency data

abstract:
  Oil is perceived as a good diversification tool for stock markets. To fully
understand this potential, we propose a new empirical methodology that combines
generalized autoregressive score copula functions with high frequency data and
allows us to capture and forecast the conditional time-varying joint
distribution of the oil -- stocks pair accurately. Our realized GARCH with
time-varying copula yields statistically better forecasts of the dependence and
quantiles of the distribution relative to competing models. Employing a
recently proposed conditional diversification benefits measure that considers
higher-order moments and nonlinear dependence from tail events, we document
decreasing benefits from diversification over the past ten years. The
diversification benefits implied by our empirical model are, moreover, strongly
varied over time. These findings have important implications for asset
allocation, as the benefits of including oil in stock portfolios may not be as
large as perceived.


title: Empirical likelihood approach to goodness of fit testing

abstract:
  Motivated by applications to goodness of fit testing, the empirical
likelihood approach is generalized to allow for the number of constraints to
grow with the sample size and for the constraints to use estimated criteria
functions. The latter is needed to deal with nuisance parameters. The proposed
empirical likelihood based goodness of fit tests are asymptotically
distribution free. For univariate observations, tests for a specified
distribution, for a distribution of parametric form, and for a symmetric
distribution are presented. For bivariate observations, tests for independence
are developed.


title:
Invertible Bimodules, Miyashita Action in Monoidal Categories and
  Azumaya Monoids

abstract:
  In this paper we introduce and study Miyashita action in the context of
monoidal categories aiming by this to provide a common framework of previous
studies in the literature. We make a special emphasis of this action on Azumaya
monoids. To this end, we develop the theory of invertible bimodules over
different monoids (a sort of Morita contexts) in general monoidal categories as
well as their corresponding Miyashita action. Roughly speaking, a Miyashita
action is a homomorphism of groups from the group of all isomorphic classes of
invertible subobjects of a given monoid to its group of automorphisms. In the
symmetric case, we show that for certain Azumaya monoids, which are abundant in
practice, the corresponding Miyashita action is always an isomorphism of
groups. This generalizes Miyashita's classical result and sheds light on other
applications of geometric nature which can not be treated using the classical
theory. In order to illustrate our methods, we give a concrete application to
the category of comodules over commutative (flat) Hopf algebroids. This
obviously includes the special cases of split Hopf algebroids (action
groupoids), which for instance cover the situation of the action of an affine
algebraic group on an affine algebraic variety.


title: The Cosmology of Interacting Spin-2 Fields

abstract:
  We investigate the cosmology of interacting spin-2 particles, formulating the
multi-gravitational theory in terms of vierbeins and without imposing any
Deser-van Nieuwenhuizen-like constraint. The resulting multi-vierbein theory
represents a wider class of gravitational theories if compared to the
corresponding multi-metric models. Moreover, as opposed to its metric
counterpart which in general seems to contain ghosts, it has already been
proved to be ghost-free. We outline a discussion about the possible matter
couplings and we focus on the study of cosmological scenarios in the case of
three and four interacting vierbeins. We find rich behavior, including de
Sitter solutions with an effective cosmological constant arising from the
multi-vierbein interaction, dark-energy solutions and nonsingular bouncing
solutions.


title:
Impact of cation-based localized electronic states on the conduction and
  valence band structure of AlInN alloys

abstract:
  We demonstrate that cation-related localized states strongly perturb the band
structure of $\text{Al}_{1-x}\text{In}_x$N leading to a strong band gap bowing
at low In content. Our first-principles calculations show that In-related
localized states are formed both in the conduction and the valence band in
$\text{Al}_{1-x}\text{In}_x$N for low In composition, $x$, and that these
localized states dominate the evolution of the band structure with increasing
$x$. Therefore, the commonly used assumption of a single
composition-independent bowing parameter breaks down when describing the
evolution both of the conduction and of the valence band edge in
$\text{Al}_{1-x}\text{In}_x$N.


title: Trajectory eigenmodes of an orbiting wave source

abstract:
  Resonances usually result from wave superpositions in cavities where they are
due to the wave spatio-temporal folding imposed by the boundaries. These energy
accumulations are the signature of the cavity eigenmodes. Here we study a
situation in which wave superposition results from the motion of a source
emitting sustained overlapping waves. It is found that resonances can be
produced in an unbounded space, the boundary conditions being now defined by
the trajectory. When periodic trajectories are investigated, it is found that
for a discrete subset of orbits, resonant wave modes are excited. Trajectory
eigenmodes thus emerge. These modes have three attributes. Their associated
resonant wave fields are the Fourier transform of the source's trajectory. They
are non-radiative and they satisfy the perimeter Bohr-Sommerfeld quantization
rule.


title:
Terrestrial vs. spaceborne, quantum vs. classical tests of the
  equivalence principle

abstract:
  The equivalence principle can be tested by precision experiments based on
classical and quantum systems, on the ground as well as in space. In many
models, these tests are mostly equivalent in their ability to constrain physics
beyond the Standard Model. We mention differences that nevertheless exist
between spaceborne and quantum mechanical tests and their conventional
competitors.


title: No evidence for planetary influence on solar activity

abstract:
  Recently, Abreu et al. (2012, A&A, 548, A88) proposed a long-term modulation
of solar activity through tidal effects exerted by the planets. This claim is
based upon a comparison of (pseudo-)periodicities derived from records of
cosmogenic isotopes with those arising from planetary torques on an
ellipsoidally deformed Sun. We examined the statistical significance of the
reported similarity of the periods. The tests carried out by Abreu et al. were
repeated with artificial records of solar activity in the form of white or red
noise. The tests were corrected for errors in the noise definition as well as
in the apodisation and filtering of the random series. The corrected tests
provide probabilities for chance coincidence that are higher than those claimed
by Abreu et al. by about 3 and 8 orders of magnitude for white and red noise,
respectively. For an unbiased choice of the width of the frequency bins used
for the test (a constant multiple of the frequency resolution) the
probabilities increase by another two orders of magnitude to 7.5% for red noise
and 22% for white noise. The apparent agreement between the periodicities in
records of cosmogenic isotopes as proxies for solar activity and planetary
torques is statistically insignificant. There is no evidence for a planetary
influence on solar activity.


title:
Effect of Feshbach Resonance on the Entropy Production in the ultra cold
  Bosonic Atoms

abstract:
  The entropy of the coexisting gas of ultra cold fermionic atoms and Bosonic
molecular condensate confined in a magnetic trap has been calculated from
equation of motion approaches. We have found that the entropy production
depends not only to the Feshbach resonance and but also under certain limits to
Rabi type oscillation and Bose Josephson junction type oscillation.


title: Properties and numerical evaluation of the Rosenblatt distribution

abstract:
  This paper studies various distributional properties of the Rosenblatt
distribution. We begin by describing a technique for computing the cumulants.
We then study the expansion of the Rosenblatt distribution in terms of shifted
chi-squared distributions. We derive the coefficients of this expansion and use
these to obtain the L\'{e}vy-Khintchine formula and derive asymptotic
properties of the L\'{e}vy measure. This allows us to compute the cumulants,
moments, coefficients in the chi-square expansion and the density and
cumulative distribution functions of the Rosenblatt distribution with a high
degree of precision. Tables are provided and software written to implement the
methods described here is freely available by request from the authors.


title: Exploration of iron-chalcogenide superconductors

abstract:
  Iron-chalcogenide compounds with FeSe(Te, S) layers did not attract much
attention until the discovery of high-Tc superconductivity (SC) in the
iron-pnictide compounds at the begining of 2008. Compared with FeAs-based
superconductors, iron-chalcogenide superconductors have aroused enormous
enthusiasm to study the relationship between SC and magnetisms with several
distinct features, such as different antiferromagnetic ground states with
relatively large moments in the parents, indicating possibly different
superconducting mechanisms, the existence of the excess Fe atoms or Fe
vacancies in the crystal lattice. Another reason is that the large single
crystals are easily grown for the iron-chalcogenide compounds. This review will
focus on our exploration for the iron-chalcogenide superconductors and
discussion on several issues, including the crystal structure, magnetic
properties, superconductivity, and phase separation. Some of them reach a
consensus but some important questions still remain to be answered.


title: Sparse additive regression on a regular lattice

abstract:
  We consider estimation in a sparse additive regression model with the design
points on a regular lattice. We establish the minimax convergence rates over
Sobolev classes and propose a Fourier-based rate-optimal estimator which is
adaptive to the unknown sparsity and smoothness of the response function. The
estimator is derived within Bayesian formalism but can be naturally viewed as a
penalized maximum likelihood estimator with the complexity penalties on the
number of nonzero univariate additive components of the response and on the
numbers of the nonzero coefficients of their Fourer expansions. We compare it
with several existing counterparts and perform a short simulation study to
demonstrate its performance.


title: The observation possibility of $B_c$ excitations at LHC

abstract:
  It is shown that in the decays $B_c(2P)\to B_c^* \gamma^\mathrm{hard}$,
$B_c(3P)\to B_c^* \gamma^\mathrm{hard}$ and $B_c(2S)\to B_c^* +\pi^+\pi^-$
followed by the decay $B_c^*\to B_c +\gamma^\mathrm{soft}$ the loss of the soft
photon $\gamma^\mathrm{soft}$ do not wash out peaks from the initial
excitations. The relative yields of $B_c^*$, 2P-wave, and 3P-wave states of
$B_c$ meson at LHC are estimated as function of transverse energy of emitted
photon $\gamma^\mathrm{hard}$. It is pointed out, that the decays $B_c(2S) \to
B_c(B_c^*)+\pi^+\pi^-$ could provide a new information about a $\sigma$
resonance nature.


title: Quasar polarization with two axionlike particles

abstract:
  Recently, it was shown, that the absence of circular polarization of visible
light from quasars, severely constrains the interpretation of axion like
particles (ALPs) as a solution for the generation of the linear polarization.
Furthermore, the new observation of the linear polarization in the radio
wavelength from quasars, similar to the earlier observation performed in the
optical band, makes the ALPs scenario inconsistent with at least one of the two
observations. In this study we extend this scenario, to two axion like
particles, one scalar and another pseudoscalar. We find, that the effects from
scalar and pseudoscalar cancel out each other, thereby suppressing the circular
polarization, while preserving consistent linear polarization, as observed in
both visible and radio waves bands.


title:
Direct quantum communication without actual transmission of the message
  qubits

abstract:
  Recently an orthogonal state based protocol of direct quantum communication
without actual transmission of particles is proposed by Salih \emph{et
al.}{[}Phys. Rev. Lett. \textbf{110} (2013) 170502{]} using chained quantum
Zeno effect. As the no-transmission of particle claim is criticized by Vaidman
{[}arXiv:1304.6689 (2013){]}, the condition (claim) of Salih \emph{et al.} is
weaken here to the extent that transmission of particles is allowed, but
transmission of the message qubits (the qubits on which the secret information
is encoded) is not allowed. Remaining within this weaker condition it is shown
that there exists a large class of quantum states, that can be used to
implement an orthogonal state based protocol of secure direct quantum
communication using entanglement swapping, where actual transmission of the
message qubits is not required. The security of the protocol originates from
monogamy of entanglement. As the protocol can be implemented without using
conjugate coding its security is independent of non-commutativity.


title: Bayesian Fusion of Multi-Band Images

abstract:
  In this paper, a Bayesian fusion technique for remotely sensed multi-band
images is presented. The observed images are related to the high spectral and
high spatial resolution image to be recovered through physical degradations,
e.g., spatial and spectral blurring and/or subsampling defined by the sensor
characteristics. The fusion problem is formulated within a Bayesian estimation
framework. An appropriate prior distribution exploiting geometrical
consideration is introduced. To compute the Bayesian estimator of the scene of
interest from its posterior distribution, a Markov chain Monte Carlo algorithm
is designed to generate samples asymptotically distributed according to the
target distribution. To efficiently sample from this high-dimension
distribution, a Hamiltonian Monte Carlo step is introduced in the Gibbs
sampling strategy. The efficiency of the proposed fusion method is evaluated
with respect to several state-of-the-art fusion techniques. In particular, low
spatial resolution hyperspectral and multispectral images are fused to produce
a high spatial resolution hyperspectral image.


title:
Vortex partition functions, wall crossing and equivariant Gromov-Witten
  invariants

abstract:
  In this paper we identify the problem of equivariant vortex counting in a
$(2,2)$ supersymmetric two dimensional quiver gauged linear sigma model with
that of computing the equivariant Gromov-Witten invariants of the GIT quotient
target space determined by the quiver. We provide new contour integral formulae
for the ${\cal I}$ and ${\cal J}$-functions encoding the equivariant quantum
cohomology of the target space. Its chamber structure is shown to be encoded in
the analytical properties of the integrand. This is explained both via general
arguments and by checking several key cases. We show how several results in
equivariant Gromov-Witten theory follow just by deforming the integration
contour. In particular we apply our formalism to compute Gromov-Witten
invariants of the $\mathbb{C}^3/\mathbb{Z}_n$ orbifold, of the Uhlembeck
(partial) compactification of the moduli space of instantons on $\mathbb {C}^2$
and of $A_n$ and $D_n$ singularities both in the orbifold and resolved phases.
Moreover, we analyse dualities of quantum cohomology rings of holomorphic
vector bundles over Grassmannians, which are relevant to BPS Wilson loop
algebrae.


title:
Dynamics of Bose-Einstein condensates in a one-dimensional optical
  lattice with double-well potential

abstract:
  We study dynamical behaviors of the weakly interacting Bose-Einstein
condensate in the one-dimensional optical lattice with an overall double-well
potential by solving the time-dependent Gross-Pitaevskii equation. It is
observed that the double-well potential dominates the dynamics of such a system
even if the lattice depth is several times larger than the height of the
double-well potential. This result suggests that the condensate flows without
resistance in the periodic lattice just like the case of a single particle
moving in periodic potentials. Nevertheless, the effective mass of atoms is
increased, which can be experimentally verified since it is connected to the
Josephson oscillation frequency. Moreover, the periodic lattice enhances the
nonlinearity of the double-well condensate, making the condensate more
"self-trapped" in the $\pi$-mode self-trapping regime.


title: On linearly related orthogonal polynomials in several variables

abstract:
  Let $\{\mathbb{P}_n\}_{n\ge 0}$ and $\{\mathbb{Q}_n\}_{n\ge 0}$ be two monic
polynomial systems in several variables satisfying the linear structure
relation $$\mathbb{Q}_n = \mathbb{P}_n + M_n \mathbb{P}_{n-1}, \quad n\ge 1,$$
where $M_n$ are constant matrices of proper size and $\mathbb{Q}_0 =
\mathbb{P}_0$. The aim of our work is twofold. First, if both polynomial
systems are orthogonal, characterize when that linear structure relation exists
in terms of their moment functionals. Second, if one of the two polynomial
systems is orthogonal, study when the other one is also orthogonal. Finally,
some illustrative examples are presented.


title:
Exact renormalization group analysis of turbulent transport by the shear
  flow

abstract:
  The exact renormalization group (RG) method initiated by Wilson and further
developed by Polchinski is used to study the shear flow model proposed by
Avellaneda and Majda as a simplified model for the diffusive transport of a
passive scalar by a turbulent velocity field. It is shown that this exact RG
method is capable of recovering all the scaling regimes as the spectral
parameters of velocity statistics vary, found by Avellaneda and Majda in their
rigorous study of this model. This gives further confidence that the RG method,
if implemented in the right way instead of using drastic truncations as in the
Yakhot-Orszag's approximate RG scheme, does give the correct prediction for the
large scale behaviors of solutions of stochastic partial differential equations
(PDE). We also derive the analog of the "large eddy simulation" models when a
finite amount of small scales are eliminated from the problem.


title:
Multiloop Amplitudes of Light-cone Gauge Bosonic String Field Theory in
  Noncritical Dimensions

abstract:
  We study the multiloop amplitudes of the light-cone gauge closed bosonic
string field theory for $d \neq 26$. We show that the amplitudes can be recast
into a BRST invariant form by adding a nonstandard worldsheet theory for the
longitudinal variables $X^{\pm}$ and the reparametrization ghost system. The
results obtained in this paper for bosonic strings provide a first step towards
the examination whether the dimensional regularization works for the multiloop
amplitudes of the light-cone gauge superstring field theory.


title:
The biasing of baryons on the cluster mass function and cosmological
  parameter estimation

abstract:
  We study the effect of baryonic processes on the halo mass function in the
galaxy cluster mass range using a catalogue of 153 high resolution cosmological
hydrodynamical simulations performed with the AMR code ramses. We use the
results of our simulations within a simple analytical model to gauge the
effects of baryon physics on the halo mass function. Neglect of AGN feedback
leads to a significant boost in the cluster mass function similar to that
reported by other authors. However, including AGN feedback not only gives rise
to systems that are similar to observed galaxy clusters, but they also reverse
the global baryonic effects on the clusters. The resulting mass function is
closer to the unmodified dark matter halo mass function but still contains a
mass dependent bias at the 5-10% level. These effects bias measurements of the
cosmological parameters, such as $\sigma_8$ and $\Omega_m$. For current cluster
surveys baryonic effects are within the noise for current survey volumes, but
forthcoming and planned large SZ, X-ray and multi-wavelength surveys will be
biased at the percent level by these processes. The predictions for the halo
mass function including baryonic effects need to be carefully studied with
larger and improved simulations. However, simulations of full cosmological
boxes with the resolution we achieve and including AGN feedback are still
computationally challenging.


title: Status of the Monoscopic Analysis Chains for H.E.S.S. II

abstract:
  H.E.S.S. is a system of Imaging Atmospheric Cherenkov Telescopes (IACTs)
measuring cosmic gamma-rays with very high energies in Namibia. Extending the
array with a fifth telescope with a mirror area of 600 m$^2$ leads to a lower
energy threshold as well as an increased sensitivity of the system. Moreover,
it is now the first IACT array consisting of telescopes with different sizes.
Low-energetic gamma-rays detected by the telescopes can either be analyzed
monoscopically, allowing for a lower threshold, or stereoscopically, using
hybrid events only which leads to a better reconstruction performance. We
present the status of the monoscopic analysis of H.E.S.S. II events. In order
to cross-check the results, we use two independent analysis chains, based on
different reconstruction methods. The first method uses the second moments of
the cleaned camera image (Hillas parameters) in order to deduce the properties
of the primary particle. The background discrimination of this method can be
optimized with multi-variate analysis techniques. The second method is based on
the comparison of the camera image with the results of a semi-analytical model
of the air shower using a Loglikelihood-Maximization. We present the status of
these analysis efforts and their respective performances. One of the chains has
been applied on real data of the Crab Nebula. All results shown here have to be
considered preliminary.


title: Time-of-Flight Roton Spectroscopy in Dipolar Bose-Einstein Condensates

abstract:
  Dipolar Bose-Einstein condensates may present a rotonlike dispersion minimum,
which has yet to be observed in experiments. We discuss a simple method to
reveal roton excitations, based on the response of quasi-two-dimensional
dipolar condensates against a weak lattice potential. By employing numerical
simulations for realistic scenarios, we analyze the response of the system as a
function of both the lattice spacing and the s-wave scattering length, showing
that the roton minimum may be readily revealed in current experiments by the
resonant population of Bragg peaks in time-of-flight measurements.


title: Experimental Detection of Quantum Channels

abstract:
  We demonstrate experimentally the possibility of efficiently detecting
properties of quantum channels and quantum gates. The optimal detection scheme
is first achieved for non entanglement breaking channels of the depolarizing
form and is based on the generation and detection of polarized entangled
photons. We then demonstrate channel detection for non separable maps by
considering the CNOT gate and employing two-photon hyperentangled states.


title: Turbulence Accelerating Cosmology from an Inhomogeneous Dark Fluid

abstract:
  Specific dark energy models with a linear inhomogeneous time-dependent
equation of state, within the framework of 4d Friedman-Robertson-Walker (FRW)
cosmology, are investigated. It is demonstrated that such 4d inhomogeneous
fluid models may lead to a turbulence FRW cosmology. Both one-component and
two-component models from 4d inhomogeneous dark fluid models are considered. In
the one-component model the universe may develop from a viscous era with, for
instance, a constant bulk viscosity, into a turbulent era. In the two-component
model the fluid can be decomposed into two components, one non-turbulent
(ideal) and another turbulent part, obeying two different equations of state.
Conditions for the appearance of the turbulent dark energy universe in terms of
the parameters in the equation of state (EoS) without introducing the
turbulence concept explicitly are are obtained. An equivalent description in
terms of an inhomogeneous fluid for the viscous Little Rip (LR) cosmology is
also developed.


title:
Harnessing nuclear spin polarization fluctuations in a semiconductor
  nanowire

abstract:
  Soon after the first measurements of nuclear magnetic resonance (NMR) in a
condensed matter system, Bloch predicted the presence of statistical
fluctuations proportional to $1/\sqrt{N}$ in the polarization of an ensemble of
$N$ spins. First observed by Sleator et al., so-called "spin noise" has
recently emerged as a critical ingredient in nanometer-scale magnetic resonance
imaging (nanoMRI). This prominence is a direct result of MRI resolution
improving to better than 100 nm^3, a size-scale in which statistical spin
fluctuations begin to dominate the polarization dynamics. We demonstrate a
technique that creates spin order in nanometer-scale ensembles of nuclear spins
by harnessing these fluctuations to produce polarizations both larger and
narrower than the natural thermal distribution. We focus on ensembles
containing ~10^6 phosphorus and hydrogen spins associated with single InP and
GaP nanowires (NWs) and their hydrogen-containing adsorbate layers. We monitor,
control, and capture fluctuations in the ensemble's spin polarization in
real-time and store them for extended periods. This selective capture of large
polarization fluctuations may provide a route for enhancing the weak magnetic
signals produced by nanometer-scale volumes of nuclear spins. The scheme may
also prove useful for initializing the nuclear hyperfine field of electron spin
qubits in the solid-state.


title:
Numerical Methods for Coupled Reconstruction and Registration in Digital
  Breast Tomosynthesis

abstract:
  Digital Breast Tomosynthesis (DBT) provides an insight into the fine details
of normal fibroglandular tissues and abnormal lesions by reconstructing a
pseudo-3D image of the breast. In this respect, DBT overcomes a major
limitation of conventional X-ray mammography by reducing the confounding
effects caused by the superposition of breast tissue. In a breast cancer
screening or diagnostic context, a radiologist is interested in detecting
change, which might be indicative of malignant disease. To help automate this
task image registration is required to establish spatial correspondence between
time points. Typically, images, such as MRI or CT, are first reconstructed and
then registered. This approach can be effective if reconstructing using a
complete set of data. However, for ill-posed, limited-angle problems such as
DBT, estimating the deformation is complicated by the significant artefacts
associated with the reconstruction, leading to severe inaccuracies in the
registration. This paper presents a mathematical framework, which couples the
two tasks and jointly estimates both image intensities and the parameters of a
transformation.
  We evaluate our methods using various computational digital phantoms,
uncompressed breast MR images, and in-vivo DBT simulations. Firstly, we compare
both iterative and simultaneous methods to the conventional, sequential method
using an affine transformation model. We show that jointly estimating image
intensities and parametric transformations gives superior results with respect
to reconstruction fidelity and registration accuracy. Also, we incorporate a
non-rigid B-spline transformation model into our simultaneous method. The
results demonstrate a visually plausible recovery of the deformation with
preservation of the reconstruction fidelity.


title:
XMM-Newton and Swift spectroscopy of the newly discovered very-faint
  X-ray transient IGR J17494-3030

abstract:
  A growing group of low-mass X-ray binaries are found to be accreting at
very-faint X-ray luminosities of <1E36 erg/s (2-10 keV). Once such system is
the new X-ray transient IGR J17494-3030. We present Swift and XMM-Newton
observations obtained during its 2012 discovery outburst. The Swift
observations trace the peak of the outburst, which reached a luminosity of ~7
E35 (D/8 kpc)^2 erg/s (2-10 keV). The XMM-Newton data were obtained when the
outburst had decayed to an intensity of ~ 8 E34 (D/8 kpc)^2 erg/s. The spectrum
can be described by a power-law with an index of ~1.7 and requires an
additional soft component with a black-body temperature of ~0.37 keV
(contributing ~20% to the total unabsorbed flux in the 0.5-10 keV band). Given
the similarities with high-quality spectra of very-faint neutron star low-mass
X-ray binaries, we suggest that the compact primary in IGR J17494-3030 is a
neutron star. Interestingly, the source intensity decreased rapidly during the
~12 hr XMM-Newton observation, which was accompanied by a decrease in inferred
temperature. We interpret the soft spectral component as arising from the
neutron star surface due to low-level accretion, and propose that the observed
decline in intensity was the result of a decrease in the mass-accretion rate
onto the neutron star.


title: Two-point correlation function for Dirichlet L-functions

abstract:
  The two-point correlation function for the zeros of Dirichlet L-functions at
a height E on the critical line is calculated heuristically using a
generalization of the Hardy-Littlewood conjecture for pairs of primes in
arithmetic progression. The result matches the conjectured Random-Matrix form
in the limit as $E\rightarrow\infty$ and, importantly, includes finite-E
corrections. These finite-E corrections differ from those in the case of the
Riemann zeta-function, obtained in (1996 Phys. Rev. Lett. 77 1472), by certain
finite products of primes which divide the modulus of the primitive character
used to construct the L-function in question.


title: Two-dimensional visualization of cluster beams by microchannel plates

abstract:
  An advanced technique for a two-dimensional real time visualization of
cluster beams in vacuum as well as of the overlap volume of cluster beams with
particle accelerator beams is presented. The detection system consists of an
array of microchannel plates (MCP) in combination with a phosphor screen which
is read out by a CCD camera. This setup together with the ionization of a
cluster beam by an electron or ion beam allows for spatial resolved
investigations of the cluster beam position, size, and intensity. Moreover,
since electrically uncharged clusters remain undetected, the operation in an
internal beam experiment opens the way to monitor the overlap region and thus
the position and size of an accelerator beam crossing an originally
electrically neutral cluster jet. The observed intensity distribution of the
recorded image is directly proportional to the convolution of the spatial ion
beam and cluster beam intensities and is by this a direct measure of the
two-dimensional luminosity distribution. This information can directly be used
for the reconstruction of vertex positions as well as for an input for
numerical simulations of the reaction zone. The spatial resolution of the
images are dominated by the granularity of the complete MCP device and was
found to be in the order of \sigma~100 \mu m.


title:
A method for calculating spectral statistics based on random-matrix
  universality with an application to the three-point correlations of the
  Riemann zeros

abstract:
  We illustrate a general method for calculating spectral statistics that
combines the universal (Random Matrix Theory limit) and the non-universal
(trace-formula-related) contributions by giving a heuristic derivation of the
three-point correlation function for the zeros of the Riemann zeta function.
The main idea is to construct a generalized Hermitian random matrix ensemble
whose mean eigenvalue density coincides with a large but finite portion of the
actual density of the spectrum or the Riemann zeros. Averaging the random
matrix result over remaining oscillatory terms related, in the case of the zeta
function, to small primes leads to a formula for the three-point correlation
function that is in agreement with results from other heuristic methods. This
provides support for these different methods. The advantage of the approach we
set out here is that it incorporates the determinental structure of the Random
Matrix limit.


title: Quiver Schur algebras and Koszul duality

abstract:
  We prove that the category of graded finitely generated representations of
the the cyclotomic quiver Schur algebra is a Koszul category.


title: Cohomology of congruence schemes

abstract:
  Modules for sesquiads and congruence schemes are introduced. It is shown that
the corresponding categories are belian and that base change functors establish
an ascent datum which allows for a cohomology theory to be established.


title:
The subdifferentials of the first and second orders for Lipschitz
  functions

abstract:
  Construction of an united theory of the subdifferentials of the first and
second orders is interesting for many specialists in optimization
\cite{morduchrockafel}. In the paper the rules for construction of the
subdifferentials of the first and second orders are introduced. The
constructions are done with the help of the Steklov integral of a Lipschitz
function $f(\cdot)$ over the images of a set-valued mapping $D(\cdot)$. It is
proved that the subdifferential of the first order consisting of the average
integral limit values of the gradients $\nabla f(r(\cdot))$, calculated along
the curves $r(\cdot)$ from an introduced set of curves $\eta$, coincides with
the subdifferentials of the first order constructed using the Steklov integral
introduced by the author for the first time in \cite{lowapp2}, \cite{lowapp2a}.
If the function $f(\cdot)$ is twice differentiable at $x$ then the
subdifferentials of the first and second orders coincide with the gradient
$\nabla f(r(\cdot))$ and the matrix of the second mixed derivatives of
$f(\cdot)$ at $x$. The generalized gradients and matrices are used for
formulation of the necessary and sufficient conditions of optimality. The
calculus for the subdifferentials of the first and second orders is
constructed. The examples are given.


title: Calculation of multifractal dimensions in spin chains

abstract:
  It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the
ground-state wave functions for a large variety of one-dimensional spin-1/2
models are multifractals in the natural spin-z basis. We present here the
details of analytical derivations and numerical confirmations of these results.


title:
Lagrangian velocity auto-correlations in statistically-steady rotating
  turbulence

abstract:
  Lagrangian statistics of passive tracers in rotating turbulence is
investigated by Particle Tracking Velocimetry. A confined and steadily-forced
turbulent flow is subjected to five different rotation rates. The PDFs of the
velocity components clearly reveal the anisotropy induced by background
rotation. Although the statistical properties of the horizontal turbulent flow
field are approximately isotropic, in agreement with previously reported
results by van Bokhoven and coworkers [Phys. Fluids 21, 096601 (2009)], the
velocity component parallel to the (vertical) rotation axis gets strongly
reduced (compared to the horizontal ones) while the rotation is increased. The
auto-correlation coefficients of all three components are progressively
enhanced for increasing rotation rates, although the vertical one shows a
tendency to decrease for slow rotation rates. The decorrelation is
approximately exponential. Lagrangian data compare favourably with previously
reported Eulerian data for horizontal velocity components, but show different
behaviour for the vertical velocity components at higher rotation rates.


title: Beyond the entropy power inequality, via rearrangements

abstract:
  A lower bound on the R\'enyi differential entropy of a sum of independent
random vectors is demonstrated in terms of rearrangements. For the special case
of Boltzmann-Shannon entropy, this lower bound is better than that given by the
entropy power inequality. Several applications are discussed, including a new
proof of the classical entropy power inequality and an entropy inequality
involving symmetrization of L\'evy processes.


title: Covariant gauges without Gribov ambiguities in Yang-Mills theories

abstract:
  We propose a one-parameter family of nonlinear covariant gauges which can be
formulated as an extremization procedure that may be amenable to lattice
implementation. At high energies, where the Gribov ambiguities can be ignored,
this reduces to the Curci-Ferrari-Delbourgo-Jarvis gauges. We further propose a
continuum formulation in terms of a local action which is free of Gribov
ambiguities and avoids the Neuberger zero problem of the standard Faddeev-Popov
construction. This involves an averaging over Gribov copies with a nonuniform
weight, which introduces a new gauge-fixing parameter. We show that the
proposed gauge-fixed action is perturbatively renormalizable in four dimensions
and we provide explicit expressions of the renormalization factors at one loop.
We discuss the possible implications of the present proposal for the
calculation of Yang-Mills correlators.


title: When terminal facelift enforces Delta constraints

abstract:
  This paper deals with the super-replication of non path-dependent European
claims under additional convex constraints on the number of shares held in the
portfolio. The corresponding super-replication price of a given claim has been
widely studied in the literature and its terminal value, which dominates the
claim of interest, is the so-called facelift transform of the claim. We
investigate under which conditions the super-replication price and strategy of
a large class of claims coincide with the exact replication price and strategy
of the facelift transform of this claim. In one dimension, we observe that this
property is satisfied for any local volatility model. In any dimension, we
exhibit an analytical necessary and sufficient condition for this property,
which combines the dynamics of the stock together with the characteristics of
the closed convex set of constraints. To obtain this condition, we introduce
the notion of first order viability property for linear parabolic PDEs. We
investigate in details several practical cases of interest: multidimensional
Black Scholes model, non-tradable assets or short selling restrictions.


title: On modelling asymmetric data using two-piece sinh-arcsinh distributions

abstract:
  We introduce the univariate two--piece sinh-arcsinh distribution, which
contains two shape parameters that separately control skewness and kurtosis. We
show that this new model can capture higher levels of asymmetry than the
original sinh-arcsinh distribution (Jones and Pewsey, 2009), in terms of some
asymmetry measures, while keeping flexibility of the tails and tractability. We
illustrate the performance of the proposed model with real data, and compare it
to appropriate alternatives. Although we focus on the study of the univariate
versions of the proposed distributions, we point out some multivariate
extensions.


title: Anisotropic Infrared Response of Vanadium Dioxide Microcrystals

abstract:
  Vanadium dioxide (VO2) undergoes a phase transition at a temperature of 340 K
between an insulating monoclinic M1 phase and a conducting rutile phase.
Accurate measurements of possible anisotropy of the electronic properties and
phonon features of VO2 in the insulating monoclinic M1 and metallic rutile
phases are a prerequisite for understanding the phase transition in this
correlated system. Recently, it has become possible to grow single domain
untwinned VO2 microcrystals which makes it possible to investigate the true
anisotropy of VO2. We performed polarized transmission infrared
micro-spectroscopy on these untwinned microcrystals in the spectral range
between 200 cm-1 and 6000 cm-1 and have obtained the anisotropic phonon
parameters and low frequency electronic properties in the insulating monoclinic
M1 and metallic rutile phases. We have also performed ab initio GGA+U total
energy calculations of phonon frequencies for both phases. We find our
measurements and calculations to be in good agreement.


title:
The Use of Cuckoo Search in Estimating the Parameters of Software
  Reliability Growth Models

abstract:
  This work aims to investigate the reliability of software products as an
important attribute of computer programs; it helps to decide the degree of
trustworthiness a program has in accomplishing its specific functions. This is
done using the Software Reliability Growth Models (SRGMs) through the
estimation of their parameters. The parameters are estimated in this work based
on the available failure data and with the search techniques of Swarm
Intelligence, namely, the Cuckoo Search (CS) due to its efficiency,
effectiveness and robustness. A number of SRGMs is studied, and the results are
compared to Particle Swarm Optimization (PSO), Ant Colony Optimization (ACO)
and extended ACO. Results show that CS outperformed both PSO and ACO in finding
better parameters tested using identical datasets. It was sometimes
outperformed by the extended ACO. Also in this work, the percentages of
training data to testing data are investigated to show their impact on the
results.


title: Cyclotrons with Fast Variable and/or Multiple Energy Extraction

abstract:
  We discuss the principle possibility of stripping extraction in combination
with reverse bends in isochronous separate sector cyclotrons (and/or FFAGs). If
one uses reverse bends between the sectors (instead of drifts) and places
stripper foils at the sector exit edges, the stripped beam has a reduced
bending radius and it should be able to leave the cyclotron within the range of
the reverse bend - even if the beam is stripped at less than full energy.
  We are especially interested in $H_2^+$-cyclotrons, which allow to double the
charge to mass ratio by stripping. However the principle could be applied to
other ions or ionized molecules as well. For the production of proton beams by
stripping extraction of an $H_2^+$-beam, we discuss possible designs for three
types of machines: First a low-energy cyclotron for the simultaneous production
of several beams at multiple energies - for instance 15 MeV, 30 MeV and 70 MeV
- thus allowing to have beam on several isotope production targets. In this
case it is desired to have a strong energy dependence of the direction of the
extracted beam thus allowing to run multiple target stations simultaneously.
Second we consider a fast variable energy proton machine for cancer therapy
that should allow extraction (of the complete beam) at all energies in the
range of about 70 MeV to about 250 MeV into the same beam line. And third, we
consider a high intensity high energy machine, where the main design goals are
extraction with low losses, low activation of components and high reliability.
  The price that has to be paid for these advantages is an increase in size
and/or in field strength compared to proton machines with standard extraction
at the final energy.