title:
Charge carrier transport in molecularly doped polycarbonate as a test
  case for the dipolar glass model

abstract:
  We present the results of Monte-Carlo simulations of the charge carrier
transport in a disordered molecular system containing spatial and energetic
disorders using the dipolar glass model. Model parameters of the material were
chosen to fit a typical polar organic photoconductor polycarbonate doped with
30% of aromatic hydrazone, whose transport properties are well documented in
literature. Simulated carrier mobility demonstrates a usual Poole-Frenkel field
dependence and its slope is very close to the experimental value without using
any adjustable parameter. At room temperature transients are universal with
respect to the electric field and transport layer thickness. At the same time,
carrier mobility does not depend on the layer thickness and transients develop
a well-defined plateau where the current does not depend on time, thus
demonstrating a non-dispersive transport regime. Tails of the transients decay
as power law with the exponent close to -2. This particular feature indicates
that transients are close to the boundary between dispersive and non-dispersive
transport regimes. Shapes of the simulated transients are in very good
agreement with the experimental ones. In summary, we provide a first
verification of a self-consistency of the dipolar glass transport model, where
major transport parameters, extracted from the experimental transport data, are
then used in the transport simulation, and the resulting mobility field
dependence and transients are in very good agreement with the initial
experimental data.


title:
Classification of Stochastic Runge-Kutta Methods for the Weak
  Approximation of Stochastic Differential Equations

abstract:
  In the present paper, a class of stochastic Runge-Kutta methods containing
the second order stochastic Runge-Kutta scheme due to E. Platen for the weak
approximation of It\^o stochastic differential equation systems with a
multi-dimensional Wiener process is considered. Order one and order two
conditions for the coefficients of explicit stochastic Runge-Kutta methods are
solved and the solution space of the possible coefficients is analyzed. A full
classification of the coefficients for such stochastic Runge-Kutta schemes of
order one and two with minimal stage numbers is calculated. Further, within the
considered class of stochastic Runge-Kutta schemes coefficients for optimal
schemes in the sense that additionally some higher order conditions are
fulfilled are presented.


title:
Achieving Giant Magneto-optic Effects with Optical Tamm States in
  Graphene-based Photonics

abstract:
  We manipulate optical Tamm states in graphene-based photonics to achieve and
steer large magneto-optical effects. Here we report the presence of a giant
Faraday rotation via a single graphene layer of atomic thickness while keeping
a high transmission. The Faraday rotation is enhanced across the interface
between two photonic crystals due to the presence of an interface mode, which
presents a strong electromagnetic field confinement at the location of the
graphene sheet. Our proposed scheme opens a promising avenue to realize high
performance graphene magneto-optical devices that can be extended to other
two-dimensional structures.


title:
Perforation Effect on a Rectangular Metal Hydride Tank for the Hydriding
  and Dehydriding Process by Using COMSOL Multiphysics Software

abstract:
  In this paper, a 3 Dimensional dynamic model of a perforated rectangular
metal hydride tank is presented. The metal hydride tank consists of powder
LaNi5 and the tubes are organized in the geometry of the rectangular in order
to simulate the flux of the ambient air through the reactor, which affect
hardly both the hydriding and the dehydriding reaction. A simulating study is
made by solving simultaneously the energy, mass and momentum differential
equations of conservation by using Comsol Multiphysics (version 4.2) software.
The simulation results show great agreement with the experimental data.


title:
Thermal convection in a spherical shell with melting/freezing at either
  or both of its boundaries

abstract:
  In a number of geophysical or planetological settings (Earth's inner core, a
silicate mantle crystallizing from a magma ocean, or an ice shell surrounding a
deep water ocean) a convecting crystalline layer is in contact with a layer of
its melt. Allowing for melting/freezing at one or both of the boundaries of the
solid layer is likely to affect the pattern of convection in the layer. We
study here the onset of thermal convection in a viscous spherical shell with
dynamically induced melting/freezing at either or both of its boundaries. It is
shown that the behavior of each interface depends on the value of a dimensional
number P, which is the ratio of a melting/freezing timescale over a viscous
relaxation timescale. A small value of P corresponds to permeable boundary
conditions, while a large value of P corresponds to impermeable boundary
conditions. The linear stability analysis predicts a significant effect of
semi-permeable boundaries when the number P characterizing either of the
boundary is small enough: allowing for melting/freezing at either of the
boundary results in the emergence of larger scale convective modes. The effect
is particularly drastic when the outer boundary is permeable, since the degree
1 mode remains the most unstable even in the case of thin spherical shells. In
the case of a spherical shell with permeable inner and outer boundaries, the
most unstable mode consists in a global translation of the solid shell, with no
deformation. In the limit of a full sphere with permeable outer boundary, this
corresponds to the "convective translation" mode recently proposed for Earth's
inner core. As an example of possible application, we discuss the case of
thermal convection in Enceladus' ice shell assuming the presence of a global
subsurface ocean, and found that melting/freezing could have an important
effect on the pattern of convection in the ice shell.


title: Is There A Real Estate Bubble in Switzerland?

abstract:
  We have analyzed the risks of possible development of bubbles in the Swiss
residential real estate market. The data employed in this work has been
collected by comparis.ch, and carefully cleaned from duplicate records through
a procedure based on supervised machine learning methods. The study uses the
log periodic power law (LPPL) bubble model to analyze the development of asking
prices of residential properties in all Swiss districts between 2005 and 2013.
The results suggest that there are 11 critical districts that exhibit
signatures of bubbles, and seven districts where bubbles have already burst.
Despite these strong signatures, it is argued that, based on the current
economic environment, a soft landing rather than a severe crash is expected.


title:
Study of nuclear effects in the inclusive neutrinoproduction of the
  \delta^{++}(1232) isobar

abstract:
  For the first time, the inclusive neutrinoproduction of \Delta^{++}(1232)
from nuclei is investigated. The total yield of $\Delta^{++}(1232) in
neutrino-nuclear interaction is found to be \ < n\ >_{\nu A} = 0.080\pm0.011,
being compatible with \ < n\ >_{\nu N} = 0.091\pm0.013 inferred for
neutrino-nucleon interactions. It is shown that the \Delta^{++}(1232) inclusive
spectra on variables x_F, z and the isobar total momentum for \nu A
interactions are shifted toward lower values respective to those for \nu N
interactions, that can be caused by secondary intranuclear collision processes.
No idication on a significant nuclear absorption of \Delta^{++}(1232) leading
to its disappearance is found.


title: Asymptotic analysis of perturbed dust cosmologies to second order

abstract:
  Nonlinear perturbations of Friedmann-Lemaitre cosmologies with dust and a
positive cosmological constant have recently attracted considerable attention.
In this paper our first goal is to compare the evolution of the first and
second order perturbations by determining their asymptotic behaviour at late
times in ever-expanding models. We show that in the presence of spatial
curvature K or a positive cosmological constant, the density perturbation
approaches a finite limit both to first and second order, but the rate of
approach depends on the model, being power law in the scale factor if the
cosmological constant is positive but logarithmic if it is zero and and K<0.
Scalar perturbations in general contain a growing and a decaying mode. We find,
somewhat surprisingly, that if the cosmological constant is positive the
decaying mode does not die away, i.e. it contributes on an equal footing as the
growing mode to the asymptotic expression for the density perturbation. On the
other hand, the future asymptotic regime of the Einstein-de Sitter universe
(for which the cosmological constant and the spatial curvature are both zero)
is completely different, as exemplified by the density perturbation which
diverges; moreover, the second order perturbation diverges faster than the
first order perturbation, which suggests that the Einstein-de Sitter universe
is unstable to perturbations, and that the perturbation series do not converge
towards the future. We conclude that the presence of spatial curvature or a
cosmological constant stabilizes the perturbations. Our second goal is to
derive an explicit expression for the second order density perturbation that
can be used to study the effects of including a cosmological constant and
spatial curvature.


title: A short note on a short remark of Graham and Lov\'{a}sz

abstract:
  Let D be the distance matrix of a connected graph G and let nn(G), np(G) be
the number of strictly negative and positive eigenvalues of D respectively. It
was remarked in [1] that it is not known whether there is a graph for which
np(G) > nn (G). In this note we show that there exists an infinite number of
graphs satisfying the stated inequality, namely the conference graphs of order>
9. A large representative of this class being the Paley graphs.The result is
obtained by derving the eigenvalues of the distance matrix of a
strongly-regular graph.


title:
An Approximate Approach to E-optimal Designs for Weighted Polynomial
  Regression by Using Tchebycheff Systems and Orthogonal Polynomials

abstract:
  In statistics, experimental designs are methods for making efficient
experiments. E-optimal designs are the multisets of experimental conditions
which minimize the maximum axis of the confidence ellipsoid of estimators. The
aim of this thesis is to propose a new algorithm for constructing E-optimal
designs approximately for weighted polynomial regression with a nonnegative
weight function.
  First, an algorithm to calculate E-optimal designs for weighted polynomial
regression of particular weight functions is discussed. Next a new algorithm
for constructing E-optimal designs approximately is proposed. Notions of the
Tchebycheff systems and orthogonal polynomials are used in the proposed
algorithm. Finally in this thesis, the results of numerical examples are shown
in order to verify the accuracy of the E-optimal designs computed by the
proposed algorithm.


title: Observable induced gravitational waves from an early matter phase

abstract:
  Assuming that inflation is succeeded by a phase of matter domination, which
corresponds to a low temperature of reheating $T_r<10^9\rm{GeV}$, we evaluate
the spectra of gravitational waves induced in the post-inflationary universe.
We work with models of hilltop-inflation with an enhanced primordial scalar
spectrum on small scales, which can potentially lead to the formation of
primordial black holes. We find that a lower reheat temperature leads to the
production of gravitational waves with energy densities within the ranges of
both space and earth based gravitational wave detectors.


title: Using Edge-induced and Vertex-induced Subhypergraph Polynomials

abstract:
  For a hypergraph $\mathcal H$, we consider the edge-induced and
vertex-induced subhypergraph polynomials and study their relation. We use this
relation to prove that both polynomials are reconstructible, and to prove a
theorem relating the Hilbert series of the Stanley-Reisner ring of the
independent complex of $\mathcal H$ and the edge-induced subhypergraph
polynomial. We also consider reconstruction of some algebraic invariants of
$\mathcal H$.


title: Minimal energy solutions for repulsive nonlinear Schr\"odinger systems

abstract:
  In this paper we establish existence and nonexistence results concerning
fully nontrivial minimal energy solutions of the nonlinear Schr\"odinger system
  \begin{align*}
  \begin{gathered}
  -\Delta u + \, u = |u|^{2q-2}u + b|u|^{q-2}u|v|^q \quad\text{in}\R^n,
  -\Delta v + \omega^2 v = |v|^{2q-2}v + b|u|^q|v|^{q-2}v\quad\text{in}\R^n.
  \end{gathered}
  \end{align*}
  We consider the repulsive case $b<0$ and assume that the exponent $q$
satisfies $1<q<\frac{n}{n-2}$ in case $n\geq 3$ and $1<q<\infty$ in case $n=1$
or $n=2$. For space dimensions $n\geq 2$ and arbitrary $b<0$ we prove the
existence of fully nontrivial nonnegative solutions which converge to a
solution of some optimal partition problem as $b\to -\infty$. In case $n=1$ we
prove that minimal energy solutions exist provided the coupling parameter $b$
has small absolute value whereas fully nontrivial solutions do not exist if
$1<q\leq 2$ and $b$ has large absolute value.


title: Semiconvection: numerical simulations

abstract:
  A grid of numerical simulations of double-diffusive convection is presented
for the astrophysical case where viscosity (Prandtl number Pr) and solute
diffusivity (Lewis number Le) are much smaller than the thermal diffusivity. As
in laboratory and geophysical cases convection takes place in a layered form.
The proper translation between subsonic flows in a stellar interior and an
incompressible (Boussinesq) fluid is given, and the validity of the Boussinesq
approximation for the semiconvection problem is checked by comparison with
fully compressible simulations. The predictions of a simplified theory of
mixing in semiconvection given in a companion paper are tested against the
numerical results, and used to extrapolate these to astrophysical conditions.
The predicted effective He-diffusion coefficient is nearly independent of the
double-diffusive layering thickness $d$. For a fiducial main sequence model (15
$M_\odot$) the inferred mixing time scale is of the order $10^{10}$ yr. An
estimate for the secular increase of $d$ during the semiconvective phase is
given. It can potentially reach a significant fraction of a pressure scale
height.


title:
Implementation of non-uniform FFT based Ewald summation in Dissipative
  Particle Dynamic method

abstract:
  The ENUF method, i.e., Ewald summation based on the Non-Uniform FFT technique
(NFFT), is implemented in Dissipative Particle Dynamics (DPD) simulation scheme
to fast and accurately calculate the electrostatic interactions at mesoscopic
level. In a simple model electrolyte system, the suitable ENUF-DPD parameters,
including the convergence parameter $\alpha$, the NFFT approximation parameter
$p$, and the cut-offs for real and reciprocal space contributions, are
carefully determined. With these optimized parameters, the ENUF-DPD method
shows excellent efficiency and scales as $\mathcal{O}(N\log N)$. The ENUF-DPD
method is further validated by investigating the effects of charge fraction of
polyelectrolyte, ionic strength and counterion valency of added salts on
polyelectrolyte conformations. The simulations in this paper, together with a
separately published work of dendrimer-membrane complexes, show that the
ENUF-DPD method is very robust and can be used to study charged complex systems
at mesoscopic level.


title:
Positional dependence of energy gap on line defect in armchair graphene
  nanoribbons: Two-terminal transport and related issues

abstract:
  The characteristics of energy band spectrum of armchair graphene nanoribbons
in presence of line defect are analyzed within a simple non-interacting
tight-binding framework. In metallic nanoribbons an energy gap may or may not
appear in the band spectrum depending on the location of the defect line, while
in semiconducting ribbons the gaps are customized, yielding the potential
applicabilities of graphene nanoribbons in nanoscale electronic devices. With a
more general model, we also investigate two-terminal electron transport using
Green's function formalism.


title:
Direct imaging discovery of 12-14 Jupiter mass object orbiting a young
  binary system of very low-mass stars

abstract:
  Context. Though only a handful of extrasolar planets have been discovered via
direct imaging, each of these discoveries had tremendous impact on our
understanding of planetary formation, stellar formation and cool atmosphere
physics. Aims. Since many of these newly imaged giant planets orbit massive A
or even B stars we investigated whether giant planets could be found orbiting
low-mass stars at large separations. Methods. We have been conducting an
adaptive optic imaging survey to search for planetary-mass companions of young
M dwarfs of the solar neigbourhood, to probe different initial conditions of
planetary formation. Results. We report here the direct imaging discovery of
2MASS J01033563-5515561(AB)b, a 12-14 MJup companion at a projected separation
of 84 AU from a pair of young late M stars, with which it shares proper motion.
We also detected a Keplerian-compatible orbital motion. Conclusions. This young
L-type object at planet/brown dwarf mass boundary is the first ever imaged
around a binary system at a separation compatible with formation in a disc.


title: Large Local Non-Gaussianity from General Single-field Inflation

abstract:
  We investigate the non-Gaussian signatures of ultra slow-roll inflation. The
bispectrum and the trispectrum are calculated with general initial conditions.
The trispectrum is of local shape, as in the case of the bispectrum. We show
that the prediction of local non-Gaussianity is robust again generalizing the
Bunch-Davies vacuum. The Suyama-Yamaguchi relation is saturated in this
scenario.


title: Bach-flat Lie groups in dimension 4

abstract:
  We establish the existence of solvable Lie groups of dimension 4 and
left-invariant Riemannian metrics with zero Bach tensor which are neither
conformally Einstein nor half conformally flat.


title: Equivariant loops on classifying spaces

abstract:
  We compute the homology of the space of equivariant loops on the classifying
space of a simplicial monoid $M$ with anti-involution, provided $\pi_0 (M)$ is
central in the homology ring of $M$. The proof is similar to McDuff and Segal's
proof of the group completion theorem.
  Then we compute the homology of the $C_2$-fixed points of a Segal-type model
of the algebraic $K$-theory of an additive category with duality. As an
application we show that this fixed point space is sometimes group complete,
but not in general.


title: QED Vacuum Loops and Dark Energy

abstract:
  A QED--based "bootstrap" mechanism is suggested as an explanation for the
vacuum energy that furnished the initial impulse for Inflation, and continues
on to provide present day Dark Energy. Virtual vacuum fluctuations are assumed
to generate effective electromagnetic fields whose average value corresponds to
an effective c--number $A_{\mu}^{\rm vac}(x)$, which is itself equal to the
vacuum expectation value of the operator $A_{\mu}(x)$ in the presence of that
$A_{\mu}^{\rm vac}(x)$. Lorentz invariance is manifest, as every observer would
measure the same electric field in his or her own reference frame. The model
has one arbitrary parameter $\xi$, and fits the energy density of present day
Dark Energy for $\xi\sim O(1)$.


title: Probing the Dark Matter mass and nature with neutrinos

abstract:
  We study the possible indirect neutrino signal from dark matter annihilations
inside the solar interior for relatively light dark matter masses in the O(10)
GeV range. Due to their excellent energy reconstruction capabilities, we focus
on the detection of this flux in liquid argon or magnetized iron calorimeter
detectors, proposed for the next generation of far detectors of neutrino
oscillation experiments and neutrino telescopes. The aim of the study is to
probe the ability of these detectors to determine fundamental properties of the
dark matter nature such as its mass or its relative annihilation branching
fractions to different channels. We find that these detectors will be able to
accurately measure the dark matter mass as long as the dark matter
annihilations have a significant branching into the neutrino or at least the
tau channel. We have also discovered degeneracies between different dark matter
masses and annihilation channels, where a hard tau channel spectrum for a lower
dark matter mass may mimic that of a softer quark channel spectrum for a larger
dark matter mass. Finally, we discuss the sensitivity of the detectors to the
different branching ratios and find that it is between one and two orders of
magnitude better than the current bounds from those coming from analysis of
Super-Kamiokande data.


title: A toy model to test the accuracy of cosmological N-body simulations

abstract:
  The evolution of an isolated over-density represents a useful toy model to
test the accuracy of a cosmological N-body code in the non linear regime as it
is approximately equivalent to that of a truly isolated cloud of particles,
with same density profile and velocity distribution, in a non expanding
background. This is the case as long as the system size is smaller than the
simulation box side, so that its interaction with the infinite copies can be
neglected. In such a situation, the over-density rapidly undergoes to a global
collapse forming a quasi stationary state in virial equilibrium. However, by
evolving the system with a cosmological code (GADGET) for a sufficiently long
time, a clear deviation from such quasi-equilibrium configuration is observed.
This occurs in a time t_{LI} that depends on the values of the simulation
numerical parameters such as the softening length and thetime-stepping
accuracy, i.e. it is a numerical artifact related to the limited spatial and
temporal resolutions. The analysis of the Layzer-Irvine cosmic energy equation,
confirms that this deviation corresponds to an unphysical dynamical regime. By
varying the numerical parameters of the simulation and the physical parameters
of the system we show that the unphysical behaviour originates from badly
integrated close scatterings of high velocity particles. We find that, while
the structure may remain virialized in the unphysical regime, its density and
velocity profiles are modified with respect to the quasi-equilibrium
configurations, converging however to well defined shapes, the former
characterised by a Navarro Frenk White-type behaviour.


title:
Markov chain aggregation and its applications to combinatorial reaction
  networks

abstract:
  We consider a continuous-time Markov chain (CTMC) whose state space is
partitioned into aggregates, and each aggregate is assigned a probability
measure. A sufficient condition for defining a CTMC over the aggregates is
presented as a variant of weak lumpability, which also characterizes that the
measure over the original process can be recovered from that of the aggregated
one. We show how the applicability of de-aggregation depends on the initial
distribution. The application section is a major aspect of the article, where
we illustrate that the stochastic rule-based models for biochemical reaction
networks form an important area for usage of the tools developed in the paper.
For the rule-based models, the construction of the aggregates and computation
of the distribution over the aggregates are algorithmic. The techniques are
exemplified in three case studies.


title: Two Variable vs. Linear Temporal Logic in Model Checking and Games

abstract:
  Model checking linear-time properties expressed in first-order logic has
non-elementary complexity, and thus various restricted logical languages are
employed. In this paper we consider two such restricted specification logics,
linear temporal logic (LTL) and two-variable first-order logic (FO2). LTL is
more expressive but FO2 can be more succinct, and hence it is not clear which
should be easier to verify. We take a comprehensive look at the issue, giving a
comparison of verification problems for FO2, LTL, and various sublogics thereof
across a wide range of models. In particular, we look at unary temporal logic
(UTL), a subset of LTL that is expressively equivalent to FO2; we also consider
the stutter-free fragment of FO2, obtained by omitting the successor relation,
and the expressively equivalent fragment of UTL, obtained by omitting the next
and previous connectives. We give three logic-to-automata translations which
can be used to give upper bounds for FO2 and UTL and various sublogics. We
apply these to get new bounds for both non-deterministic systems (hierarchical
and recursive state machines, games) and for probabilistic systems (Markov
chains, recursive Markov chains, and Markov decision processes). We couple
these with matching lower-bound arguments. Next, we look at combining FO2
verification techniques with those for LTL. We present here a language that
subsumes both FO2 and LTL, and inherits the model checking properties of both
languages. Our results give both a unified approach to understanding the
behaviour of FO2 and LTL, along with a nearly comprehensive picture of the
complexity of verification for these logics and their sublogics.


title: 5D Maximally Supersymmetric Yang-Mills in 4D Superspace: Applications

abstract:
  We reformulate 5D maximally supersymmetric Yang-Mills in 4D Superspace, for a
manifold with boundaries. We emphasise certain features and conventions
necessary to allow for supersymmetric model building applications. Finally we
apply the holographic interpretation of a slice of AdS and show how to generate
Dirac soft masses between external source fields, as well as kinetic mixing, as
a boundary effective action.


title: Follow-up photometry of TrES-3

abstract:
  We present new observations of the transiting system TrES-3 obtained from
2009 to 2011 at several observatories. The orbital parameters of the system
were re- determined and a new linear ephemeris was calculated. The best quality
light curve was used for light curve analysis, an other datasets were used to
determine mid-transit times, Tc, and study transit time variation (TTV). For
planet parameter determination we used two independent codes and finally, we
concluded that our parameters are in agreement with previous studies. Based on
our observations, we determined 14 mid-transit times. Together with published
Tc we found that the timing residuals showed no significant deviation from the
linear ephemeris. We concluded that a periodic TTV signal with an amplitude
greater than 1 minute over a 4-year time span seems to be unlikely. Our
analysis of an upper mass limit allows us to exclude an additional Earth-mass
planet close to inner 3:1, 2:1, and 5:3 and outer 3:5, 1:2, and 1:3 mean-motion
resonances. Using the long-term integration and applying the method of maximum
eccentricity, the region from 0.015 au to 0.05 au was found unstable and the
region beyond the 0.05 au was found to have a chaotic behaviour and its
depletion increases with increasing values of the initial eccentricity as well
as inclination.


title: Constructing Even Order Magic Squares By Consecutive Numbering

abstract:
  The aim of this note is to introduce fastest new general methods for the
construction of double and single even order magic squares. As in [5], the
method for double even order magic squares is fairly straight-forward but some
adjustments are necessary for the single even order magic squares.


title:
A Sequential Empirical Central Limit Theorem for Multiple Mixing
  Processes with Application to B-Geometrically Ergodic Markov Chains

abstract:
  We investigate the convergence in distribution of sequential empirical
processes of dependent data indexed by a class of functions F. Our technique is
suitable for processes that satisfy a multiple mixing condition on a space of
functions which differs from the class F. This situation occurs in the case of
data arising from dynamical systems or Markov chains, for which the
Perron--Frobenius or Markov operator, respectively, has a spectral gap on a
restricted space. We provide applications to iterative Lipschitz models that
contract on average.


title: Optimization of FASTEST-3D for Modern Multicore Systems

abstract:
  FASTEST-3D is an MPI-parallel finite-volume flow solver based on
block-structured meshes that has been developed at the University of
Erlangen-Nuremberg since the early 1990s. It can be used to solve the laminar
or turbulent incompressible Navier-Stokes equations. Up to now its scalability
was strongly limited by a rather rigid communication infrastructure, which led
to a dominance of MPI time already at small process counts.
  This paper describes several optimizations to increase the performance,
scalability, and flexibility of FASTEST-3D. First, a node-level performance
analysis is carried out in order to pinpoint the main bottlenecks and identify
sweet spots for energy-efficient execution. In addition, a single-precision
version of the solver for the linear equation system arising from the
discretization of the governing equations is devised, which significantly
increases the single-core performance. Then the communication mechanisms in
FASTEST-3D are analyzed and a new communication strategy based on non-blocking
calls is implemented. Performance results with the revised version show
significantly increased single-node performance and considerably improved
communication patterns along with much better parallel scalability. In this
context we discuss the concept of "acceptable parallel efficiency" and how it
influences the real gain of the optimizations. Scaling measurements are carried
out on a modern petascale system. The obtained improvements are of major
importance for the use of FASTEST-3D on current high-performance computer
clusters and will help to perform simulations with much higher spatial and
temporal resolution to tackle turbulent flow in technical applications.


title: Comment on "Quantum Coherence and Sensitivity of Avian Magnetoreception"

abstract:
  In a recent Letter [Phys. Rev. Lett. 109, 110502 (2012), arXiv:1204.6528],
Bandyopadhyay, Paterek and Kaszlikowski report their analysis of spin coherence
time in the radical pair involved in avian magnetoreception, concluding that is
of the order of a microsecond. However, a combination of an erroneous numerical
calculation together with an incorrect parameter drawn from an experimental
source have resulted in the authors underestimating by two orders of magnitude.
Consequently, one must reverse the authors' conclusion that the timescale is
consistent with experiments on cryptochrome.


title: On statistics of permutations chosen from the Ewens distribution

abstract:
  We explore the asymptotic distributions of sequences of integer-valued
additive functions defined on the symmetric group endowed with the Ewens
probability measure as the order of the group increases.
  Applying the method of factorial moments, we establish necessary and
sufficient conditions for the weak convergence of distributions to discrete
laws.
  More attention is paid to the Poisson limit distribution. The particular case
of the number-of-cycles with restricted lengths function is analyzed in more
detail. The results can be applied to statistics defined on random permutation
matrices.


title:
Rientrant metallicity in the Hubbard model: the case of honeycomb
  nanoribbons

abstract:
  Based on the Cluster Perturbation solution of the Hubbard hamiltonian for a
2-D honeycomb lattice we present quasiparticle band structures of nanoribbons
at half filling as a function of the on-site electron-electron repulsion. We
show that at moderate values of e-e interaction ribbons with armachair shaped
edges exhibit an unexpected semimetallic behavior, recovering the original
insulating character only at larger values of $U$.


title: Capacity of an associative memory model on random graph architectures

abstract:
  We analyze the storage capacity of the Hopfield models on classes of random
graphs. While such a setup has been analyzed for the case that the underlying
random graph model is an Erd\"{o}s-Renyi graph, other architectures, including
those investigated in the recent neuroscience literature, have not been studied
yet. We develop a notion of storage capacity that highlights the influence of
the graph topology and give results on the storage capacity for not too
irregular random graph models. The class of models investigated includes the
popular power law graphs for some parameter values.


title:
Gravothermal instability with a cosmological constant in the canonical
  ensemble

abstract:
  We present here how the gravothermal or Antonov's instability, which was
originally formulated in the microcanonical ensemble, is modified in the
presence of a cosmological constant and in the canonical ensemble. In contrast
to the microcanonical ensemble, there is a minimum, and not maximum, radius for
which metastable states exist. In addition this critical radius is decreasing,
and not increasing, with increasing cosmological constant. The minimum
temperature for which metastable states exist is decreasing with increasing
cosmological constant, while above some positive value of the cosmological
constant, there appears a second critical temperature. For lower temperatures
than the second critical temperature value, metastable states reappear,
indicating a typical reentrant phase transition. The two critical temperatures
merge when the cosmological density equals one half the mean density of the
system.


title: Description of a Differential Setup for Relaxation Microcalorimetry

abstract:
  A specific heat measuring instrument, with the capacity for the application
of magnetic fields up to 9 Tesla, resorting to microcalorimetry chips from the
company Xensor Integration, has been successfully assembled and its functioning
specifications are reported in the current paper. With this instrument is it
possible to perform specific heat measurements with applied magnetic fields up
to 9 Tesla in milligram samples. This offers our group the possibility to
calculate the actual adiabatic temperature change of a material, as well as
providing reliable and precise information on any phase transition that may be
influenced by the application of a magnetic field.


title:
Forces between a partially coherent fluctuating source and a
  magnetodielectric particle

abstract:
  We address the forces exerted by the electromagnetic field emitted by a
planar uctuating source on dielectric particles that have arose much interest
because of their recently shown magnetodielectric behavior. In this context, we
analyze as a particular case the modification of the Casimir and Van der Waals
forces. We study the effect of the source coherence length as well as the
interplay between the force from the radiated field and that from the electric
and magnetic dipoles induced on the particle. This allows a control of these
interactions as well as of the weight and interference effects between the
fields from both kinds of induced dipoles, in particular when large changes in
their differential scattering cross section occur due to Kerker minimum forward
or zero backward conditions; thus opening new paths to nanoparticle ensembling
and manipulation. The influence of surface waves of the source is also studied.


title:
Effect of the wire width on the intrinsic detection efficiency of
  superconducting-nanowire single-photon detectors

abstract:
  Thorough spectral study of the intrinsic single-photon detection efficiency
in superconducting TaN and NbN nanowires with different widths shows that the
experimental cut-off in the efficiency at near-infrared wavelengths is most
likely caused by the local deficiency of Cooper pairs available for current
transport. For both materials the reciprocal cut-off wavelength scales with the
wire width whereas the scaling factor quantitatively agrees with the hot-spot
detection models. Comparison of the experimental data with vortex-assisted
detection scenarios shows that these models predict a stronger dependence of
the cut-off wavelength on the wire width.


title: The complete characterization of a.s. convergence of orthogonal series

abstract:
  In this paper we prove the complete characterization of a.s. convergence of
orthogonal series in terms of existence of a majorizing measure. It means that
for a given $(a_n)^{\infty}_{n=1}$, $a_n>0$, series
$\sum^{\infty}_{n=1}a_n\varphi_n$ is a.e. convergent for each orthonormal
sequence $(\varphi_n)^{\infty}_{n=1}$ if and only if there exists a measure $m$
on \[T=\{0\}\cup\Biggl\{\sum^m_{n=1}a_n^2,m\geq 1\Biggr\}\] such that
\[\sup_{t\in T}\int^{\sqrt{D(T)}}_0(m(B(t,r^2)))^{-{1}/{2}}\,dr<\infty,\] where
$D(T)=\sup_{s,t\in T}|s-t|$ and $B(t,r)=\{s\in T:|s-t|\leq r\}$. The presented
approach is based on weakly majorizing measures and a certain partitioning
scheme.


title: Basic properties of critical lognormal multiplicative chaos

abstract:
  We study one-dimensional exact scaling lognormal multiplicative chaos
measures at criticality. Our main results are the determination of the exact
asymptotics of the right tail of the distribution of the total mass of the
measure, and an almost sure upper bound for the modulus of continuity of the
cumulative distribution function of the measure. We also find an almost sure
lower bound for the increments of the measure almost everywhere with respect to
the measure itself, strong enough to show that the measure is supported on a
set of Hausdorff dimension $0$.


title:
Surface reflectance of Mars observed by CRISM/MRO: 2. Estimation of
  surface photometric properties in Gusev Crater and Meridiani Planum

abstract:
  The present article proposes an approach to analyze the photometric
properties of the surface materials from multi-angle observations acquired by
the Compact Reconnaissance Imaging Spectrometer for Mars (CRISM) on-board the
Mars Reconnaissance Orbiter. We estimate photometric parameters using Hapke
model in a Bayesian inversion framework. This work also represents a validation
of the atmospheric correction provided by the Multi-angle Approach for
Retrieval of Surface Reflectance from CRISM Observations (MARS-ReCO) proposed
in the companion article.The latter algorithm retrieves photometric curves of
surface materials in reflectance units after removing the aerosol contribution.
This validation is done by comparing the estimated photometric parameters to
those obtained from in situ measurements by Panoramic Camera instrument at the
Mars Exploration Rover (MER)-Spirit and MER-Opportunity landing sites.
Consistent photometric parameters with those from in situ measurements are
found, demonstrating that MARS-ReCO gives access to accurate surface
reflectance. Moreover the assumption of a non-Lambertian surface as included in
MARS-ReCO is shown to be significantly more precise to estimate surface
photometric properties from space in comparison to methods based on a
Lambertian surface assumption. In the future, the presented method will allow
us to map from orbit the surface bidirectional reflectance and the related
photometric parameters in order to characterize the Martian surface.


title:
Constraining neutrino properties with a Euclid-like galaxy cluster
  survey

abstract:
  We perform a forecast analysis on how well a Euclid-like photometric galaxy
cluster survey will constrain the total neutrino mass and effective number of
neutrino species. We base our analysis on the Monte Carlo Markov Chains
technique by combining information from cluster number counts and cluster power
spectrum. We find that combining cluster data with CMB measurements from Planck
improves by more than an order of magnitude the constraint on neutrino masses
compared to each probe used independently. For the LCDM+m_nu model the 2 sigma
upper limit on total neutrino mass shifts from M_nu < 0.35 eV using cluster
data alone to M_nu < 0.031 eV when combined with CMB data. When a non-standard
model with N_eff number of neutrino species is considered, we estimate
N_eff<3.14 (95% CL), while the bounds on neutrino mass are relaxed to M_nu <
0.040 eV. This accuracy would be sufficient for a 2 sigma detection of neutrino
mass even in the minimal normal hierarchy scenario. We also consider scenarios
with a constant dark energy equation of state and a non-vanishing curvature.
When these models are considered the error on M_nu is only slightly affected,
while there is a larger impact of the order of ~ 15 % and ~ 20% respectively on
the 2 sigma error bar of N_eff with respect to the standard case. We also treat
the LCDM+m_nu+N_eff case with free nuisance parameters, which parameterize the
uncertainties on the cluster mass determination. In this case, the upper bounds
on M_nu are relaxed by a factor larger than two, M_nu < 0.083 eV (95% CL),
hence compromising the possibility of detecting the total neutrino mass with
good significance. We thus confirm the potential that a large optical/near-IR
cluster survey, like that to be carried out by Euclid, could have in
constraining neutrino properties [abridged].


title: High-Frequency Quasi-Periodic Oscillations from GRS 1915+105

abstract:
  We report the results of a systematic timing analysis of all archival Rossi
X-Ray Timing Explorer (RXTE) observations of the bright black-hole binary GRS
1915+105 in order to detect high-frequency quasi-periodic oscillations (HFQPO).
We produced power-density spectra in two energy bands and limited the analysis
to the frequency range 30-1000 Hz. We found 51 peaks with a single trial
significance larger than 3 sigma. As all but three have centroid frequencies
that are distributed between 63 and 71 Hz, we consider most of them significant
regardless of the number of trials involved. The average centroid frequency and
FWHM are 67.3 +/- 2.0 Hz and 4.4 +/- 2.4 Hz respectively. Their fractional rms
varies between 0.4% and 2% (total band detections) and between 0.5% and 3%
(hard ban detections). As GRS 1915+105 shows large variability on time scales
longer than 1s, we analysed the data in 16s intervals and found that the
detections are limited to a specific region in the colour-colour diagram,
corresponding to state B of the source, when the energy spectrum is dominated
by a bright accretion disk component. However, the rms spectrum of the HFQPO is
very hard and does not show a flattening up to 40 keV, where the fractional rms
reaches 11%. We discuss our findings in terms of current proposed models and
compare them with the results on other black-hole binaries and neutron-star
binaries.


title:
Electronic and optical properties of Cr and Cr-N doped anatase TiO2 from
  screened Coulomb hybrid calculations

abstract:
  We studied the electronic and atomic structures of anatase TiO2 codoped with
Cr and N using hybrid density functional theory calculations. Nonlocal screened
Hartree-Fock exchange energy is partially mixed with traditional semilocal
exchange part. This not only heals the band gap underestimation but also
improves the description of anion/cation-driven impurity states and
magnetization of the dopants. Cr and/or N doping modifies the valence and
conduction band edges of TiO2 leading to significant band gap reduction. Hence,
Cr, N and Cr-N doped TiO2 are promising for enhanced photoactivity.


title: Treatment of like-particle pairing with quartets

abstract:
  The ground state correlations induced by a general pairing Hamiltonian in a
finite system of like fermions are described in terms of four-body correlated
structures (quartets). These are real superpositions of products of two pairs
of particles in time-reversed states. Quartets are determined variationally
through an iterative sequence of diagonalizations of the Hamiltonian in
restricted model spaces and are, in principle, all distinct from one another.
The ground state is represented as a product of quartets to which, depending on
the number of particles (supposed to be even, in any case), an extra collective
pair is added. The extra pair is also determined variationally. In case of
pairing in a spherically symmetric mean field, both the quartets and the extra
pair (if any) are characterized by a total angular momentum J=0. Realistic
applications of the quartet formalism are carried out for the Sn isotopes with
the valence neutrons in the 50-82 neutron shell. Exact ground state correlation
energies, occupation numbers and pair transfer matrix elements are reproduced
to a very high degree of precision. The formalism also lends itself to a
straightforward and accurate description of the lowest seniority 0 and 2
excited states of the pairing Hamiltonian. A simplified representation of the
ground state as a product of identical quartets is eventually discussed and
found to improve considerably upon the more traditional particle-number
projected-BCS approach.


title:
Load balancing of dynamical distribution networks with flow constraints
  and unknown in/outflows

abstract:
  We consider a basic model of a dynamical distribution network, modeled as a
directed graph with storage variables corresponding to every vertex and flow
inputs corresponding to every edge, subject to unknown but constant inflows and
outflows. As a preparatory result it is shown how a distributed
proportional-integral controller structure, associating with every edge of the
graph a controller state, will regulate the state variables of the vertices,
irrespective of the unknown constant inflows and outflows, in the sense that
the storage variables converge to the same value (load balancing or consensus).
This will be proved by identifying the closed-loop system as a port-Hamiltonian
system, and modifying the Hamiltonian function into a Lyapunov function,
dependent on the value of the vector of constant inflows and outflows. In the
main part of the paper the same problem will be addressed for the case that the
input flow variables are {\it constrained} to take value in an interval. We
will derive sufficient and necessary conditions for load balancing, which only
depend on the structure of the network in relation with the flow constraints.


title: Flux calibration of the AAO/UKST SuperCOSMOS H-alpha Survey

abstract:
  The AAO/UKST SuperCOSMOS H$\alpha$ Survey (SHS) was, when completed in 2003,
a powerful addition to extant wide-field surveys. The combination of areal
coverage, spatial resolution and sensitivity in a narrow imaging band, still
marks it out today as an excellent resource for the astronomical community. The
233 separate fields are available online in digital form, with each field
covering 25 square degrees. The SHS has been the motivation for equivalent
surveys in the north, and new digital H$\alpha$ surveys now beginning in the
south such as VPHAS+. It has been the foundation of many important discovery
projects with the Macquarie/AAO/Strasbourg H$\alpha$ planetary nebula project
being a particularly successful example. However, the full potential of the SHS
has been hampered by lack of a clear route to acceptable flux calibration from
the base photographic data. We have determined the calibration factors for 170
individual SHS fields, and present a direct pathway to the measurement of
integrated H$\alpha$ fluxes and surface brightnesses for resolved nebulae
detected in the SHS. We also include a catalogue of integrated H$\alpha$ fluxes
for $>$100 planetary and other nebulae measured from the SHS, and use these
data to show that fluxes, accurate to $\pm$ 0.10 - 0.14 dex ($\sim$25-35 per
cent), can be obtained from these fields. For the remaining 63 fields, a mean
calibration factor of 12.0 counts pix$^{-1}$ R$^{-1}$ can be used, allowing the
determination of reasonable integrated fluxes accurate to better than $\pm$0.2
dex ($\sim$50 per cent). We outline the procedures involved and the caveats
that need to be appreciated in achieving such flux measurements. This paper
forms a handy reference source that will significantly increase the scientific
utility of the SHS.


title:
Interface of the polarizable continuum model of solvation with
  semi-empirical methods in the GAMESS program

abstract:
  An interface between semi-empirical methods and the polarized continuum model
(PCM) of solvation successfully implemented into GAMESS following the approach
by Chudinov et al (Chem. Phys. 1992, 160, 41). The interface includes energy
gradients and is parallelized. For large molecules such as ubiquitin a
reasonable speedup (up to a factor of six) is observed for up to 16 cores. The
SCF convergence is greatly improved by PCM for proteins compared to the gas
phase.


title: Azimuthal distributions of pions inside jets at RHIC

abstract:
  We evaluate the azimuthal asymmetries for the distributions of leading pions
inside a jet, produced in high-energy proton-proton collisions, in kinematic
configurations currently under active investigation at RHIC. Adopting a
transverse momentum dependent approach, which assumes the validity of a
perturbative QCD factorization scheme and takes into account all the spin and
intrinsic parton motion effects, we show how the main mechanisms underlying
these asymmetries, namely the Sivers and the Collins effects, can be
disentangled. Furthermore, we consider the impact of color-gauge invariant
initial and final state interactions and suggest a method for testing the
universality properties of the Sivers function for quarks.


title:
Design of a 7m Davies-Cotton Cherenkov telescope mount for the high
  energy section of the Cherenkov Telescope Array

abstract:
  The Cherenkov Telescope Array is the next generation ground-based observatory
for the study of very-high-energy gamma-rays. It will provide an order of
magnitude more sensitivity and greater angular resolution than present systems
as well as an increased energy range (20 GeV to 300 TeV). For the high energy
portion of this range, a relatively large area has to be covered by the array.
For this, the construction of ~7 m diameter Cherenkov telescopes is an option
under study. We have proposed an innovative design of a Davies-Cotton mount for
such a telescope, within Cherenkov Telescope Array specifications, and
evaluated its mechanical and optical performance. The mount is a
reticulated-type structure with steel tubes and tensioned wires, designed in
three main parts to be assembled on site. In this work we show the structural
characteristics of the mount and the optical aberrations at the focal plane for
three options of mirror facet size caused by mount deformations due to wind and
gravity.


title:
Existence and Stability of Traveling Waves for an Integro-differential
  Equation for Slow Erosion

abstract:
  We study an integro-differential equation that describes the slow erosion of
granular flow. The equation is a first order non-linear conservation law where
the flux function includes an integral term. We show that there exist unique
traveling wave solutions that connect profiles with equilibrium slope at
$\pm\infty$. Such traveling waves take very different forms from those in
standard conservation laws. Furthermore, we prove that the traveling wave
profiles are locally stable, i.e., solutions with monotone initial data
approaches the traveling waves asymptotically as $t\to+\infty$.


title:
Current in a quantum driven thermostatted system with off-diagonal
  disorder

abstract:
  We analyze a one-dimensional quantum model with off-diagonal disorder,
consisting of a sequence of potential energy barriers whose width is a random
variable either uniformly or "half-normally" distributed, subjected to an
external electric field. We shed light on how the microscopic disorder affects
the value of the transmission coefficient, and on the structure of the
fluctuations around the solutions corresponding to the regular lattice
configuration. We also characterize the asymptotic limit obtained by letting
the number of barriers diverge, while their total width is kept constant. Thus,
we explain the novelty of our method with respect to the standard thermodynamic
limit discussed in the literature, and also evidence the onset of a large
deviations principle for the transmission coefficient.


title: Observation of Three-Mode Parametric Instability

abstract:
  Three-mode parametric interactions can occur in triply-resonant
opto-mechanical systems in which two orthogonal optical modes are coupled with
an appropriate mechanical mode. Using an optical cavity with a membrane inside,
we report the first observation of three-mode parametric instability in a
Fabry-Perot cavity, a phenomenon predicted to occur in long baseline advanced
gravitational wave detectors. We present a large signal model for the
phenomenon, which predicts exponential growth of mechanical oscillation
followed by saturation. Our experimental results are consistent with this
model. Contrary to expectations, parametric instability does not lead to loss
of cavity lock, a fact which may make it easier to implement control techniques
in Advanced gravitational wave detectors.


title: The internal branch lengths of the Kingman coalescent

abstract:
  In the Kingman coalescent tree the length of order $r$ is defined as the sum
of the lengths of all branches that support $r$ leaves. For $r=1$ these
branches are external, while for $r\ge2$ they are internal and carry a subtree
with $r$ leaves. In this paper we prove that for any $s\in\mathbb{N}$ the
vector of rescaled lengths of orders $1\le r\le s$ converges to the
multivariate standard normal distribution as the number of leaves of the
Kingman coalescent tends to infinity. To this end we use a coupling argument
which shows that for any $r\ge2$ the (internal) length of order $r$ behaves
asymptotically in the same way as the length of order 1 (i.e., the external
length).


title:
Monte Carlo Simulation of Hard Radiation in Decays in Beyond the
  Standard Model Physics in Herwig++

abstract:
  We use the POWHEG formalism in the Herwig++ event generator to match QCD
real-emission matrix elements with the parton shower for a range of decays
relevant to Beyond the Standard Model physics searches. Applying this
correction affects the shapes of experimental observables and so changes the
number of events passing selection criteria. To validate this approach, we
study the impact of the correction on Standard Model top quark decays. We then
illustrate the effect of the correction on Beyond the Standard Model scenarios
by considering the invariant-mass distribution of dijets produced in the decay
of the lightest Randall-Sundrum graviton and transverse momentum distributions
for decays in Supersymmetry. We consider only the effect of the POWHEG
correction on the simulation of the hardest emission in the shower and ignore
the normalisation factor required to correct the total widths and branching
ratios to next-to-leading order accuracy.


title: Curves and cycles on K3 surfaces

abstract:
  The notion of constant cycle curves on K3 surfaces is introduced. These are
curves that do not contribute to the Chow group of the ambient K3 surface.
Rational curves are the most prominent examples.
  We show that constant cycle curves behave in some respects like rational
curves. E.g. using Hodge theory one finds that in each linear system there are
at most finitely many such curves of bounded order.
  Over finite fields, any curve is expected to be a constant cycle curve,
whereas over number fields this does not hold. The relation to the
Bloch--Beilinson conjectures for K3 surfaces over global fields is discussed.


title:
Refined physical properties and g',r',i',z',J,H,K transmission spectrum
  of WASP-23b from the ground

abstract:
  Multi-band observations of planetary transits using the telescope defocus
technique may yield high-quality light curves suitable for refining the
physical properties of exoplanets even with small or medium size telescopes.
Such observations can be used to construct a broad-band transmission spectrum
of transiting planets and search for the presence of strong absorbers. We have
thoroughly characterised the orbital ephemeris and physical properties of the
transiting planet and host star in the WASP-23b system, constructed a
broad-band transmission spectrum of WASP-23b and performed a comparative
analysis with theoretical models of hot Jupiters. We observed a complete
transit of WASP-23b in seven bands simultaneously, using the GROND instrument
on the MPG/ESO 2.2m telescope at La Silla Observatory and telescope
defocussing. The optical data were taken in the Sloan g',r',i' and z' bands.
The resulting light curves are of high quality, with a root-mean-square scatter
of the residual as low as 330ppm in the z'-band, with a cadence of 90s.
Near-infrared data were obtained in the JHK bands. We performed MCMC analysis
of our photometry plus existing radial velocity data to refine measurements of
the ephemeris and physical properties of the WASP-23. We constructed a
broad-band transmission spectrum of WASP-23b and compared it with a theoretical
transmission spectrum of a Hot Jupiter. We measured the central transit time
with a precision about 8s. From this and earlier observations we obtain an
orbital period of P=2.9444300+/-0.0000011d. Our analysis also yielded a larger
radius and mass for the planet (Rp=1.067+0.045-0.038 RJup and,
Mp=0.917+0.040-0.039MJup). The transmission spectrum is marginally flat, given
the limited precision of the measurements for the planet radius and poor
spectral resolution of the data.


title: Inferring Fitness in Finite Populations with Moran-like dynamics

abstract:
  Biological fitness is not an observable quantity and must be inferred from
population dynamics. Bayesian inference applied to the Moran process and
variants yields a robust inference method that can infer fitness in populations
evolving via a Moran dynamic and generalizations. Information about fitness is
derived solely from birth-events in birth-death and death-birth processes in
which selection acts proportionally to fitness, which allows the method to be
applied to populations on a network where the network itself may be changing in
time. Populations may also be allowed to change size while still allowing
estimates for fitness to be inferred.


title:
Probability-constrained Power Optimization for Multiuser MISO Systems
  with Imperfect CSI: A Bernstein Approximation Approach

abstract:
  We consider power allocations in downlink cellular wireless systems where the
basestations are equipped with multiple transmit antennas and the mobile users
are equipped with single receive antennas. Such systems can be modeled as
multiuser MISO systems. We assume that the multi-antenna transmitters employ
some fixed beamformers to transmit data, and the objective is to optimize the
power allocation for different users to satisfy certain QoS constraints, with
imperfect transmitter-side channel state information (CSI). Specifically, for
MISO interference channels, we consider the transmit power minimization problem
and the max-min SINR problem. For MISO broadcast channels, we consider the
MSE-constrained transmit power minimization problem. All these problems are
formulated as probability-constrained optimization problems. We make use of the
Bernstein approximation to conservatively transform the probabilistic
constraints into deterministic ones, and consequently convert the original
stochastic optimization problems into convex optimization problems. However,
the transformed problems cannot be straightforwardly solved using standard
solver, since one of the constraints is itself an optimization problem. We
employ the long-step logarithmic barrier cutting plane (LLBCP) algorithm to
overcome difficulty. Extensive simulation results are provided to demonstrate
the effectiveness of the proposed method, and the performance advantage over
some existing methods.


title: Finite-size corrections to Fermi's golden rule: I. Decay rates

abstract:
  A quantum mechanical wave of a finite size moves like a classical particle
and shows a unique decay probability. Because the wave function evolves
according to the Schr\"{o}dinger equation, it preserves the total energy but
not the kinetic energy in the intermediate-time region of a decay process where
those of the parent and daughters overlap. The decay rate computed with Fermi's
golden rule requires corrections that vary with the distance between the
initial and final states, and the energy distribution of the daughter is
distorted from that of plane waves. The corrections have universal properties
in relativistically invariant systems and reveal macroscopic quantum phenomena
for light particles. The implications for precision experiments in beta decays
and various radiative transitions are presented.


title: Local triple derivations on C*-algebras and JB*-triples

abstract:
  In a first result we prove that every continuous local triple derivation on a
JB$^*$-triple is a triple derivation. We also give an automatic continuity
result, that is, we show that local triple derivations on a JB$^*$-triple are
continuous even if not assumed a priori to be so. In particular every local
triple derivation on a C$^*$-algebra is a triple derivation. We also explore
the connections between (bounded local) triple derivations and generalised
(Jordan) derivations on a C$^*$-algebra.


title: Two-channel Bose-Hubbard model of atoms at a Feshbach resonance

abstract:
  Based on the analytic model of Feshbach resonances in harmonic traps
described in Phys. Rev. A 83, 030701 (2011) a Bose-Hubbard model is introduced
that provides an accurate description of two atoms in an optical lattice at a
Feshbach resonance with only a small number of Bloch bands. The approach
circumvents the problem that the eigenenergies in the presence of a delta-like
coupling do not converge to the correct energies, if an uncorrelated basis is
used. The predictions of the Bose-Hubbard model are compared to
non-perturbative calculations for both the stationary states and the
time-dependent wavefunction during an acceleration of the lattice potential.
For this purpose, a square-well interaction potential is introduced, which
allows for a realistic description of Feshbach resonances within
non-perturbative single-channel calculations.


title:
Observation of a new boson with mass near 125 GeV in pp collisions at
  sqrt(s) = 7 and 8 TeV

abstract:
  A detailed description is reported of the analysis used by the CMS
Collaboration in the search for the standard model Higgs boson in pp collisions
at the LHC, which led to the observation of a new boson. The data sample
corresponds to integrated luminosities up to 5.1 inverse femtobarns at sqrt(s)
= 7 TeV, and up to 5.3 inverse femtobarns at sqrt(s) = 8 TeV. The results for
five Higgs boson decay modes gamma gamma, ZZ, WW, tau tau, and bb, which show a
combined local significance of 5 standard deviations near 125 GeV, are
reviewed. A fit to the invariant mass of the two high resolution channels,
gamma gamma and ZZ to 4 ell, gives a mass estimate of 125.3 +/- 0.4 (stat) +/-
0.5 (syst) GeV. The measurements are interpreted in the context of the standard
model Lagrangian for the scalar Higgs field interacting with fermions and
vector bosons. The measured values of the corresponding couplings are compared
to the standard model predictions. The hypothesis of custodial symmetry is
tested through the measurement of the ratio of the couplings to the W and Z
bosons. All the results are consistent, within their uncertainties, with the
expectations for a standard model Higgs boson.


title: Inelastic collapse in one-dimensional driven systems under gravity

abstract:
  We study the inelastic collapse in the one-dimensional $N$-particle systems
in the situation where the system is driven from below under the gravity. We
investigate the hard-sphere limit of the inelastic soft-sphere systems by
numerical simulations to find how the collision rate per particle $n_{coll}$
increases as a function of the elastic constant of the sphere $k$ when the
restitution coefficient $e$ is kept constant. For the systems with large enough
$N \agt 20$, we find three regimes in $e$ depending on the behavior of
$n_{coll}$ in the hard-sphere limit: (i) uncollapsing regime for $1 \ge e >
e_{c1}$, where $n_{coll}$ converges to a finite value, (ii) logarithmically
collapsing regime for $e_{c1} > e > e_{c2}$, where $n_{coll}$ diverges as
$n_{coll} \sim \log k$, and (iii) power-law collapsing regime for $e_{c2} > e >
0$, where $n_{coll}$ diverges as $n_{coll} \sim k^\alpha$ with an exponent
$\alpha$ that depends on $N$. The power-law collapsing regime shrinks as $N$
decreases and seems not to exist for the system with N=3 while, for large $N$,
the size of the uncollapsing and the logarithmically collapsing regime
decreases as $e_{c1} \simeq 1-2.6/N$ and $e_{c2} \simeq 1-3.0/N$. We
demonstrate that this difference between large and small systems exists already
in the inelastic collapse without the external drive and the gravity.


title: Minimal Tree-Level Seesaws with a Heavy Intermediate Fermion

abstract:
  There exists a generic minimal tree-level diagram, with two external scalars
and a heavy intermediate fermion, that can generate naturally small neutrino
masses via a seesaw. This diagram has a mass insertion on the internal fermion
line, and the set of such diagrams can be partitioned according to whether the
mass insertion is of the Majorana or Dirac type. We show that, once subjected
to the demands of naturalness (i.e. precluding small scalar vacuum expectation
values that require fine-tuning), this set is finite, and contains a relatively
small number of elements. Some of the corresponding models have appeared in the
literature. We present the remaining original models, thus generalizing the
Type-I and Type-III seesaws, and apparently exhausting the list of their
minimal non-tuned variants.


title:
Quantum theory as the most robust description of reproducible
  experiments

abstract:
  It is shown that the basic equations of quantum theory can be obtained from a
straightforward application of logical inference to experiments for which there
is uncertainty about individual events and for which the frequencies of the
observed events are robust with respect to small changes in the conditions
under which the experiments are carried out.


title:
Constraint equations for general hypersurfaces and applications to
  shells

abstract:
  Hypersurfaces of arbitrary causal character embedded in a spacetime are
studied with the aim of extracting necessary and sufficient free data on the
submanifold suitable for reconstructing the spacetime metric and its first
derivative along the hypersurface. The constraint equations for hypersurfaces
of arbitrary causal character are then computed explicitly in terms of this
hypersurface data, thus providing a framework capable of unifying, and
extending, the standard constraint equations in the spacelike and in the
characteristic cases to the general situation. This may have interesting
applications in well-posedness problems more general than those already treated
in the literature. As a simple application of the constraint equations for
general hypersurfaces, we derive the field equations for shells of matter when
no restriction whatsoever on the causal character of the shell is imposed.


title: Perturbations of Kantowski-Sachs models

abstract:
  Perturbations of Kantowski-Sachs models with a positive cosmological constant
are considered in a harmonic decomposition, in the framework of gauge invariant
1+3 and 1+1+2 covariant splits of spacetime. Scalar, vector and tensor modes
are allowed, however they remain vorticity-free and of perfect fluid type. The
dynamics is encompassed in six evolution equations for six harmonic
coefficients.


title:
All-optical Hall effect by the dynamic toroidal moment in a cavity-based
  metamaterial

abstract:
  Dynamic dipolar toroidal response is demonstrated by an optical plasmonic
metamaterial composed of double disks. This response with a hotspot of
localized E-field concentration is a well-behaved toroidal cavity mode that
exhibits a large Purcell factor due to its deep-subwavelength mode volume.
All-optical Hall effect (photovoltaic) due to this optical toroidal moment is
demonstrated numerically, in mimicking the magnetoelectric effect in
multiferroic systems. The result shows a promising avenue to explore various
optical phenomena associated with this intriguing dynamic toroidal moment.


title: The Development of Single Star Scidar for Tibet and Dome A

abstract:
  A Single Star Scidar system(SSS) has been developed for remotely sensing
atmospheric turbulence profiles. The SSS consists of computing the spatial
auto/cross-correlation functions of short exposure images of the scintillation
patterns produced by a single star, and provides the vertical profiles of
optical turbulence intensity C2n(h) and wind speed V(h). The SSS needs only a
40 cm aperture telescope, so that can be portable and equipped easily to field
candidate sites. Some experiments for the SSS have been made in Beijing last
year, successfully retrieving atmospheric turbulence and wind profiles from the
ground to 30 km. The SSS observations has recently been made at the Xinglong
station of NAOC, characterizing atmospheric parameters at this station. We plan
to automatize SSS instrument and run remote observation via internet; a more
friendly auto-SSS system will be set up and make use at the candidate sites in
Tibet and Dome A.


title: The Mimimum 3-Covering Energy of Complete Graphs

abstract:
  In this paper we introduce a different kind of graph energy, the minimum
3-covering energy of a graph, and determine the minimum 3-covering energy of
complete graphs.


title: Strong edge coloring of planar graphs

abstract:
  A strong edge coloring of a graph is a proper edge coloring where the edges
at distance at most two receive distinct colors. It is known that every planar
graph with maximum degree D has a strong edge coloring with at most 4D + 4
colors. We show that 3D + 6 colors suffice if the graph has girth 6, and 3D
colors suffice if the girth is at least 7. Moreover, we show that cubic planar
graphs with girth at least 6 can be strongly edge colored with at most 9
colors.


title: Local Exact Controllability of a Parabolic System of Chemotaxis

abstract:
  This paper studies the controllability problem of a parabolic system of
chemotaxis. The local exact controllability to trajectories of the system
imposed one control force only is obtained by applying Kakutani's fixed point
theorem combined with the null controllability of the associated linearized
parabolic system. The control function is shown to be in $L^\infty(Q)$, which
is estimated by using the methods of maximal regularity and $L^p$-$L^q$
estimates of parabolic equations.


title:
Complete Fusion of Weakly Bound Cluster-Type Nuclei at Near Barrier
  Energies

abstract:
  We consider the influence of breakup channels on the complete fusion of
weakly bound cluster-type systems in terms of dynamic polarization potentials.
It is argued that the enhancement of the cross section at sub-barrier energies
may be consistent with recent experimental observations that nucleon transfer,
often leading to breakup, is dominant compared to direct breakup. The main
trends of the experimental complete fusion cross sections are analyzed in the
framework of the Dynamic Polarization Potential approach. The qualitative
conclusions are supported by CDCC calculations including a sequential breakup
channel, the one neutron stripping of $^7$Li followed by the breakup of $^6$Li.


title:
Implications of Higgs to diphoton decay rate in the bilinear R-parity
  violating supersymmetric model

abstract:
  The Large Hadron Collider has recently discovered a Higgs-like particle
having a mass around 125 GeV and also indicated that there is an enhancement in
the Higgs to diphoton decay rate as compared to that in the standard model. We
have studied implications of these discoveries in the bilinear R-parity
violating supersymmetric model, whose main motivation is to explain the
non-zero masses for neutrinos. The R-parity violating parameters in this model
are $\epsilon$ and $b_\epsilon$, and these parameters determine the scale of
neutrino masses. If the enhancement in the Higgs to diphoton decay rate is
true, then we have found $\epsilon\gapprox 0.01$ GeV and $b_\epsilon\sim$ 1
GeV$^2$ in order to be compatible with the neutrino oscillation data. Also, in
the above mentioned analysis, we can determine the soft masses of sleptons
($m_L$) and CP-odd Higgs boson mass ($m_A$). We have estimated that
$m_L\gapprox$ 300 GeV and $m_A\gapprox$ 700 GeV. We have also commented on the
allowed values of $\epsilon$ and $b_\epsilon$, in case there is no enhancement
in the Higgs to diphoton decay rate. Finally, we present a model to explain the
smallness of $\epsilon$ and $b_\epsilon$.


title:
A Spitzer-IRS Spectroscopic atlas of early-type galaxies in the Revised
  Shapley-Ames Catalog

abstract:
  We produce an atlas of homogeneously reduced and calibrated low resolution
IRS spectra of the nuclear regions of nearby early-type galaxies (i.e. Es and
S0s, ETGs), in order to build a reference sample in the mid-infrared window.
From the Spitzer Heritage Archive we extract ETGs in the "Revised Shapley-Ames
Catalog of Bright Galaxies" having an IRS SL and/or LL spectrum. We recover 91
spectra out of 363 galaxies classified as ETGs in the catalog: 56 E (E0-E6), 8
mixed E/S0+S0/E, 27 S0 (both normal and barred - SB0) plus mixed types
SB0/Sa+SB0/SBa. For each galaxy, we provide the fully reduced and calibrated
spectrum, the intensity of nebular and molecular emission lines as well as of
the Polycyclic Aromatic Hydrocarbons (PAHs) after a template spectrum of a
passively evolving ETG has been subtracted. Spectra are classified into five
mid-infrared classes, ranging from AGN (class-4) and star forming nuclei
(class-3), transition class-2 (with PAHs) and class-1 (no-PAHs) to passively
evolving nuclei (class-0). A demographic study of mid-infrared spectra shows
that Es are significantly more passive than S0s: 46^{+11}_{-10}% of Es and
20^{+11}_{-7}% of S0s have a spectrum of class-0. Emission lines are revealed
in 64^{+12}_{-6}% of ETGs. The H_2-S(1) line is found with similar rate in Es
(34^{+10}_{-8}%) and in S0s (51^{+15}_{-12}%). PAHs are detected in
47^{+8}_{-7}% of ETGs, but only 9^{+4}_{-3}% have PAHs ratios typical of star
forming galaxies. Several indicators, such as peculiar morphologies and
kinematics, dust--lane irregular shape, radio and X-ray properties, suggest
that mid-infrared spectral classes are connected to phases of
accretion/feedback phenomena occurring in the nuclei of ETGs.


title: Irreducible components of quiver Grassmannians

abstract:
  We prove a decomposition theorem for irreducible components of Grassmannians
of submodules, as well as for other schemes arising from representation theory,
thus generalising the result of Crawley-Boevey and Schroer for module
varieties. The method is based on jet space calculations, using that the
formation of direct sums induces a separable morphism of schemes.


title:
Self-Formation of Sub-10-nm Nanogaps by Silicidation for Resistive
  Switch in Air

abstract:
  We developed a simple and reliable method for the fabrication of sub-10-nm
wide nanogaps. The self-formed nanogap is based on the stoichiometric
solid-state reaction between metal and Si atoms during silicidation process.
The nanogap width is deter- mined by the metal layer thickness. Our proposed
method produces nanogaps either symmetric or asymmetric electrodes, as well as,
multiple nanogaps within one unique process step for application to complex
circuits. Therefore, this method provides high throughput and it is suitable
for large-scale production. To demonstrate the feasibil- ity of the proposed
fabrication method, nanogap resistive switches have been built and
characterized. They exhibit a pronounced hysteresis with up to 103 on/off
conductance ratios in air. Our results indicate that the voltages for initially
electroforming the de- vice to the switch state are determinated by the nanogap
sizes. However, the set and reset voltages of the device do not strongly
dependent on the nanogap widths. These phenomena could be helpful to understand
how the resistive switching is established.


title:
Constraints on electromagnetic properties of sterile neutrinos from
  MiniBooNE results

abstract:
  Among the class of models with small mixing angles between sterile and active
neutrinos, we place constraints on the effective muon-to-sterile neutrino
magnetic and electric dipole transition moments from the combined MiniBooNE
results for the sterile neutrino mass range of $10\;\mathrm{MeV}<m_s<500\;
\mathrm{MeV}$. Our results are valid for models with CP-violating interactions
and for Dirac and Majorana sterile neutrinos. In addition, we show that such
dipole electromagnetic interactions cannot be the main source of the anomalous
events in the MiniBooNE experiment because they fail to reproduce the anomalous
event distribution as a function of polar angle. However, good agreement with
the anomalous event distribution in reconstructed energy can be achieved for
some values of magnetic and electric moments.


title:
Limit theorems for weighted nonlinear transformations of Gaussian
  stationary processes with singular spectra

abstract:
  The limit Gaussian distribution of multivariate weighted functionals of
nonlinear transformations of Gaussian stationary processes, having multiple
singular spectra, is derived, under very general conditions on the weight
function. This paper is motivated by its potential applications in nonlinear
regression, and asymptotic inference on nonlinear functionals of Gaussian
stationary processes with singular spectra.


title: On mod p non-abelian Lubin-Tate theory for GL_2(Q_p)

abstract:
  We analyse the mod p \'etale cohomology of the Lubin-Tate tower both with
compact support and without support. We prove that there are no supersingular
representations in the H^1_c of the Lubin-Tate tower. On the other hand, we
show that in H^1 of the Lubin-Tate tower appears the mod p local Langlands
correspondence and the mod p local Jacquet-Langlands correspondence, which we
define in the text. We discuss the local-global compatibility part of the
Buzzard-Diamond-Jarvis conjecture which appears naturally in this context.


title: Matrix Subspaces of $L_1$

abstract:
  If $E=\{e_i\}$ and $F=\{f_i\}$ are two 1-unconditional basic sequences in
$L_1$ with $E$ $r$-concave and $F$ $p$-convex, for some $1\le r<p\le 2$, then
the space of matrices $\{a_{i,j}\}$ with norm
  $\|\{a_{i,j}\}\|_{E(F)}=\big\|\sum_k \|\sum_l a_{k,l}f_l\|e_k\big\|$ embeds
into $L_1$. This generalizes a recent result of Prochno and Sch\"utt.


title:
The dynamics and flexibility of protein disulphide-isomerase (PDI):
  predictions of experimentally-observed domain motions

abstract:
  We have studied the mobility of the folding catalyst, protein
disulphide-isomerase (PDI), by molecular dynamics and by a rapid approach based
on flexibility. We analysed our simulations using measures of backbone
movement, relative positions and orientations of domains, and distances between
functional sites. Despite their different assumptions, the two methods are
surprisingly consistent. Both methods agree that motion of domains is dominated
by hinge and rotation motion of the a and a' domains relative to the central
b-b' domain core. We identify the a' domain as showing the greatest
intra-domain mobility. The flexibility method, which requires 10^4-fold less
computer power, predicts additional large-scale features of inter-domain motion
that have been observed experimentally. We conclude that the methods offer
complementary insight into the motion of this large protein and provide
detailed structural models that characterise its functionally-significant
conformational changes.


title:
Stein's method for the half-normal distribution with applications to
  limit theorems related to the simple symmetric random walk

abstract:
  We develop Stein's method for the half-normal distribution and apply it to
derive rates of convergence in distributional limit theorems for three
statistics of the simple symmetric random walk: the maximum value, the number
of returns to the origin and the number of sign changes up to a given time $n$.
We obtain explicit error bounds with the optimal rate $n^{-1/2}$ for both the
Kolmogorov and the Wasserstein metric. In order to apply Stein's method, we
compare the characterizing operator of the limiting half-normal distribution
with suitable characterizations of the discrete approximating distributions,
exploiting a recent technique by Goldstein and Reinert \cite{GolRei13}.


title: Improved bound on facial parity edge coloring

abstract:
  A facial parity edge coloring of a 2-edge connected plane graph is an edge
coloring where no two consecutive edges of a facial walk of any face receive
the same color. Additionally, for every face f and every color c either no edge
or an odd number of edges incident to f are colored by c. Czap, Jendrol',
Kardo\v{s} and Sotak showed that every 2-edge connected plane graph admits a
facial parity edge coloring with at most 20 colors. We improve this bound to 16
colors.


title:
On the theory of mass loss in dwarf galaxies: I - basic equations and
  the case of wave/thermal driven winds

abstract:
  In this work we present a semi-analytical model of galactic wind for dwarf
galaxies where thermal and turbulent/momemtum driving mechanisms are studied.
The model takes into account wave and internal adiabatic heating mechanisms, as
well as radiative and adiabatic cooling. The importance of external sources of
energy is discussed. We also studied the role of the spatial distribution of
dark matter in the acceleration of the wind and on the mass loss rates. The
basic model parameters that regulate the wind mass loss rate and terminal
velocity are the gravitational potential profile, the equilibrium temperature
of the gas and the amplitude of the turbulent motions of the gas. We found that
dwarf galaxies are likely to present quasi-stationary winds with mass loss
rates larger than $10^{-3}$M$_{\odot}$yr$^{-1}$ even in the absence of
turbulent motions (which is possibly related to the SNe feedback), if the
interstellar gas is heated to $T > 10^4 - 10^5$K. We also found that the wind
mass loss rate is enhanced for cusped dark matter distributions, such as the
NFW-profile, due to the increased pressure gradients at the center of the
galaxy. The solutions presented here may serve as benchmarks for numerical
simulations, and as inputs for single zone chemical evolution models of dwarf
galaxies.


title: On the possible noble gas deficiency of Pluto's atmosphere

abstract:
  We use a statistical-thermodynamic model to investigate the formation and
composition of noble-gas-rich clathrates on Pluto's surface. By considering an
atmospheric composition close to that of today's Pluto and a broad range of
surface pressures, we find that Ar, Kr and Xe can be efficiently trapped in
clathrates if they formed at the surface, in a way similar to what has been
proposed for Titan. The formation on Pluto of clathrates rich in noble gases
could then induce a strong decrease in their atmospheric abundances relative to
their initial values. A clathrate thickness of order of a few centimeters
globally averaged on the planet is enough to trap all Ar, Kr and Xe if these
noble gases were in protosolar proportions in Pluto's early atmosphere. Because
atmospheric escape over an extended period of time (millions of years) should
lead to a noble gas abundance that either remains constant or increases with
time, we find that a potential depletion of Ar, Kr and Xe in the atmosphere
would best be explained by their trapping in clathrates. A key observational
test is the measurement of Ar since the Alice UV spectrometer aboard the New
Horizons spacecraft will be sensitive enough to detect its abundance $\sim$10
times smaller than in the case considered here.


title:
Warm Spitzer Occultation Photometry of WASP-26b at 3.6{\mu}m and
  4.5{\mu}m

abstract:
  We present new warm Spitzer occultation photometry of WASP-26 at 3.6{\mu}m
and 4.5{\mu}m along with new transit photometry taken in the g,r and i bands.
We report the first detection of the occultation of WASP-26b, with occultation
depths at 3.6{\mu}m and 4.5{\mu}m of 0.00126 +/- 0.00013 and 0.00149 +/-
0.00016 corresponding to brightness temperatures of 1825+/-80K and 1725+/-89K,
respectively. We find that the eccentricity of the orbit is consistent with a
circular orbit at the 1{\sigma} level with a 3{\sigma} upper limit of e < 0.04.
According to the activity-inversion relation of Knutson et al. (2010), WASP-26b
is predicted to host a thermal inversion. The brightness temperatures deduced
from the eclipse depths are consistent with an isothermal atmosphere, although
it is within the uncertainties that the planet may host a weak thermal
inversion. The data are equally well fit by atmospheric models with or without
a thermal inversion. We find that variation in activity of solar-like stars
does not change enough over the time-scales of months or years to change the
interpretation of the Knutson et al. (2010) activity-inversion relation,
provided that the measured activity level is averaged over several nights.
Further data are required to fully constrain the thermal structure of the
atmosphere because the planet lies very close to the boundary between
atmospheres with and without a thermal inversion.


title:
Information loss, entropy production and time reversal for dissipative
  and diffuse processes

abstract:
  In non-destructive imaging the information about the spatial pattern of a
samples interior has to be transferred to the sample surface by certain waves,
e.g. ultrasound or electromagnetic waves. At the sample surface these waves can
be detected and the interior structure is reconstructed from the measured
signals. The amount of information about the interior of the sample, which can
be gained from the detected waves on the sample surface, is essentially
influenced by the propagation from its excitation to the surface. Scattering,
dissipation, or diffusion causes entropy production and a loss of information
for the propagating waves, and therefore results in a loss of resolution for
imaging the interior structure. There have been made several attempts to
compensate these diffusive or dissipative effects to get a higher resolution
for the reconstructed images of the samples interior. In this work it is shown
that thermodynamical fluctuations limit this compensation and therefore also
the spatial resolution for non-destructive imaging at a certain depth is
limited. We describe one example for diffusion and another one for dissipation
and the loss of information is modeled by stochastic processes. For both
examples the thermodynamic entropy production is equal to the loss of
information, which results in a theoretical limit for the achievable spatial
resolution in the reconstructed image.


title:
Influence of the circumbinary disk gravity on planetesimal accumulation
  in the Kepler 16 system

abstract:
  Recent observations from NASA's Kepler mission detected the first planets in
circumbinary orbits. The question we try to answer is where these planets
formed in the circumbinary disk and how far inside they migrated to reach their
present location. We investigate the first and more delicate phase of planet
formation when planetesimals accumulate to form planetary embryos. We use the
hydrodynamical code FARGO to study the evolution of the disk and of a test
population of planetesimals embedded in it. With this hybrid
hydrodynamical--N--body code we can properly account for the gas drag force on
the planetesimals and for the gravitational force of the disk on them. The
numerical simulations show that the gravity of the eccentric disk on the
planetesimal swarm excites their eccentricities to values much larger than
those induced by the binary perturbations only within 10 AU from the stars.
Moreover, the disk gravity prevents a full alignment of the planetesimal
pericenters. Both these effects lead to large impact velocities, beyond the
critical value for erosion. Planetesimals accumulation in circumbinary disks
appears to be prevented close to the stellar pair by the gravitational
perturbations of the circumbinary disk. The observed planets possibly formed in
the outer regions of the disk and then migrated inside by tidal interaction
with the disk.


title:
Matter-Wave Interference versus Spontaneous Pattern Formation in Spinor
  Bose-Einstein Condensate

abstract:
  We describe effects of matter-wave interference of spinor states in the
$^{87}$Rb Bose-Einstein condensate. The components of the F=2 manifold are
populated by forced Majorana transitions and then fall freely due to gravity in
an applied magnetic field. Weak inhomogeneities of the magnetic field, present
in the experiment, impose relative velocities onto different $m_F$ components,
which show up as interference patterns upon measurement of atomic density
distributions with a Stern-Gerlach imaging method. We show that interference
effects may appear in experiments even if gradients of the magnetic field
components are eliminated but higher order inhomogeneity is present and the
duration of the interaction is long enough. In particular, we show that the
resulting matter-wave interference patterns can mimic spontaneous pattern
formation in the quantum gas.


title: A parameter estimation method based on random slow manifolds

abstract:
  A parameter estimation method is devised for a slow-fast stochastic dynamical
system, where often only the slow component is observable. By using the
observations only on the slow component, the system parameters are estimated by
working on the slow system on the random slow manifold. This offers a benefit
of dimension reduction in quantifying parameters in stochastic dynamical
systems. An example is presented to illustrate this method, and verify that the
parameter estimator based on the lower dimensional, reduced slow system is a
good approximation of the parameter estimator for original slow-fast stochastic
dynamical system.


title: First Order Actions for New Massive Dual Gravities

abstract:
  We present a first order formulation for the fourth order action of the new
massive dual gravity in four dimensions. This proposal is easily generalized to
arbitrary dimension. Also, we obtain the dual actions for massless and massive
Curtright fields in D dimensions.


title: Self-Configuring Universal Linear Optical Component

abstract:
  We show how to design an optical device that can perform any linear function
or coupling between inputs and outputs. This design method is progressive,
requiring no global optimization. We also show how the device can configure
itself progressively, avoiding design calculations and allowing the device to
stabilize itself against drifts in component properties and to continually
adjust itself to changing conditions. This self-configuration operates by
training with the desired pairs of orthogonal input and output functions, using
sets of detectors and local feedback loops to set individual optical elements
within the device, with no global feedback or multiparameter optimization
required. Simple mappings, such as spatial mode conversions and polarization
control, can be implemented using standard planar integrated optics. In the
spirit of a universal machine, we show that other linear operations, including
frequency and time mappings, as well as non-reciprocal operation, are possible
in principle, even if very challenging in practice, thus proving there is at
least one constructive design for any conceivable linear optical component;
such a universal device can also be self-configuring. This approach is general
for linear waves, and could be applied to microwaves, acoustics and quantum
mechanical superpositions.


title: Back-to-Back Black Holes decay Signature at Neutrino Observatories

abstract:
  We propose a decay signature for non-thermal small black holes with masses in
the TeV range which can be discovered by neutrino observatories. The black
holes would result due to the impact between ultra high energy neutrinos with
nuclei in water or ice and decay instantaneously. They could be produced if the
Planck scale is in the few TeV region and the highly energetic fluxes are large
enough. Having masses close to the Planck scale, the typical decay mode for
these black holes is into two particles emitted back-to-back. For a certain
range of angles between the emitted particles and the center of mass direction
of motion, it is possible for the detectors to measure separate muons having
specific energies and their trajectories oriented at a large enough angle to
prove that they are the result of a back-to-back decay event.


title:
Geometrical design of thin film PV modules for improved shade tolerance
  and performance

abstract:
  Partial shading in photovoltaic modules is an important reliability and
performance concern for all photovoltaic technologies. In this paper, we show
how cell geometry can be used as a design variable for improved performance and
resilience towards partial shading in monolithic thin film photovoltaic (TFPV)
modules. We use circuit simulations to illustrate the geometrical aspects of
partial shading in typical TFPV modules with rectangular cells, and formulate
rules for shade tolerant design. We show that the problem of partial shading
can be overcome by modifying the cell shape and orientation, while preserving
the module shape and output characteristics. We discuss two geometrical designs
with cells arranged in radial and spiral patterns, which (a) prevent the
reverse breakdown of partially shaded cells, (b) improve the overall power
output under partial shading, and (c) in case of spiral design, improve the
module efficiency by reducing sheet resistance losses. We compare these designs
quantitatively using realistic parameters, and discuss the practical approaches
to their implementation.


title: Hopping charge transport in organic materials

abstract:
  General properties of the transport of charge carriers (electrons and holes)
in disordered organic materials are discussed. It was demonstrated that the
dominant part of the total energetic disorder in organic material is usually
provided by the electrostatic disorder, generated by randomly located and
oriented dipoles and quadrupoles. For this reason this disorder is strongly
spatially correlated. Spatial correlation directly governs the field dependence
of the carrier drift mobility. Shape of the current transients, which is of
primary importance for a correct determination of the carrier mobility, is
considered. A notable feature of the electrostatic disorder is its modification
in the vicinity of the electrode, and this modification takes place without
modification of the structure of the material. It is shown how this phenomenon
affects characteristics of the charge injection. We consider also effect of
inter-charge interaction on charge transport.

categories: cond-mat.mtrl-sci cond-mat.dis-nn cond-mat.mes-hall physics.comp-ph


title:
Characterizing semigroups $X$ with commutative extensions $\varphi(X)$,
  $\lambda(X)$, $N_2(X)$, $\upsilon(X)$

abstract:
  We characterize semigroups $X$ whose semigroups of filters $\varphi(X)$,
maximal linked systems $\lambda(X)$, linked upfamilies $N_2(X)$, and upfamilies
$\upsilon(X)$ are commutative.


title:
Exact Statistics of the Gap and Time Interval Between the First Two
  Maxima of Random Walks

abstract:
  We investigate the statistics of the gap, G_n, between the two rightmost
positions of a Markovian one-dimensional random walker (RW) after n time steps
and of the duration, L_n, which separates the occurrence of these two extremal
positions. The distribution of the jumps \eta_i's of the RW, f(\eta), is
symmetric and its Fourier transform has the small k behavior 1-\hat{f}(k)\sim|
k|^\mu with 0 < \mu \leq 2. We compute the joint probability density function
(pdf) P_n(g,l) of G_n and L_n and show that, when n \to \infty, it approaches a
limiting pdf p(g,l). The corresponding marginal pdf of the gap, p_{\rm gap}(g),
is found to behave like p_{\rm gap}(g) \sim g^{-1 - \mu} for g \gg 1 and 0<\mu
< 2. We show that the limiting marginal distribution of L_n, p_{\rm time}(l),
has an algebraic tail p_{\rm time}(l) \sim l^{-\gamma(\mu)} for l \gg 1 with
\gamma(1<\mu \leq 2) = 1 + 1/\mu, and \gamma(0<\mu<1) = 2. For l, g \gg 1 with
fixed l g^{-\mu}, p(g,l) takes the scaling form p(g,l) \sim g^{-1-2\mu} \tilde
p_\mu(l g^{-\mu}) where \tilde p_\mu(y) is a (\mu-dependent) scaling function.
We also present numerical simulations which verify our analytic results.

categories: cond-mat.stat-mech cond-mat.dis-nn math.PR q-fin.ST


title:
Momentum distribution functions in ensembles: the inequivalence of
  microcannonical and canonical ensembles in a finite ultracold system

abstract:
  It is demonstrated that in many thermodynamic textbooks the equivalence of
the different ensembles is achieved in the thermodynamic limit. In this present
work we remark the inequivalence of microcannonical and canonical ensembles in
a finite ultracold system at low energies. We calculate the microcanonical
momentum distribution function (MDF) in a system of identical fermions
(bosons). We find that, the microcanonical MDF deviates from the canonical one,
which is the Fermi-Dirac (Bose-Einstein) function, in a finite system at low
energies where the single-particle density of states and its inverse are
finite.


title: $L^p$-theory for the tangential Cauchy-Riemann equation

abstract:
  We are interested in $L^p$-theory for the tangential Cauchy-Riemann operator
in locally embeddable, $s$-concave, generic CR manifolds. We study the
Dolbeault isomorphism and develop the Andreotti-Grauert theory in that setting.
Using Serre duality, we solve the tangential Cauchy-Riemann equation with exact
support and $L^p$-estimates.