title:
Adaptive confidence intervals for regression functions under shape
  constraints

abstract:
  Adaptive confidence intervals for regression functions are constructed under
shape constraints of monotonicity and convexity. A natural benchmark is
established for the minimum expected length of confidence intervals at a given
function in terms of an analytic quantity, the local modulus of continuity.
This bound depends not only on the function but also the assumed function
class. These benchmarks show that the constructed confidence intervals have
near minimum expected length for each individual function, while maintaining a
given coverage probability for functions within the class. Such adaptivity is
much stronger than adaptive minimaxity over a collection of large parameter
spaces.


title:
Effective-one-body Hamiltonian with next-to-leading order spin-spin
  coupling for two nonprecessing black holes with aligned spins

abstract:
  The canonical Arnowitt-Deser-Misner (ADM) Hamiltonian with next-to-leading
order spin-spin coupling [J. Steinhoff, S. Hergt, and G. Sch\"afer] is
converted into the EOB formalism of T. Damour, P. Jaranowski, and G. Sch\"afer
for the special case of spinning black hole binaries whose spins are aligned
with the angular momentum. In particular, we propose to include the new terms
by adding a dynamical term of next-to-leading order to the Kerr parameter
squared entering the effective metric. The modified EOB Hamiltonian
consistently reduces to the Kerr Hamiltonian as the mass ratio tends to zero;
moreover, it predicts the existence of an Innermost Stable Circular Orbit. We
also derive, for the general case of arbitrarily oriented spins but in the
vanishing mass-ratio limit, a coordinate transformation that maps the
next-to-leading order spin-spin contribution of the ADM Hamiltonian to the EOB
Hamiltonian.


title:
Large Scale Model for Information Dissemination with Device to Device
  Communication using Call Details Records

abstract:
  In a network of devices in close proximity such as Device to Device ($D2D$)
communication, we study the dissemination of public safety information at
country scale level. In order to provide a realistic model for the information
dissemination, we extract a spatial distribution of the population of Ivory
Coast from census data and determine migration pattern from the Call Detail
Records ($CDR$) obtained during the Data for Development ($D4D$) challenge. We
later apply epidemic model towards the information dissemination process based
on the spatial properties of the user mobility extracted from the provided
$CDR$. We then propose enhancements by adding latent states to the epidemic
model in order to model more realistic user dynamics. Finally, we study
dynamics of the evolution of the information spreading through the population.


title:
Trapping of giant-planet cores - I. Vortex aided trapping at the outer
  dead zone edge

abstract:
  In this paper the migration of a 10 Earth-mass planetary core is investigated
at the outer boundary of the dead zone of a protoplanetary disc by means of 2D
hydrodynamic simulations done with the graphics processor unit version of the
FARGO code. In the dead zone, the effective viscosity is greatly reduced due to
the disc self-shielding against stellar UV radiation, X-rays from the stellar
magnetosphere and interstellar cosmic rays. As a consequence, mass accumulation
occurs near the outer dead zone edge, which is assumed to trap planetary cores
enhancing the efficiency of the core-accretion scenario to form giant planets.
Contrary to the perfect trapping of planetary cores in 1D models, our 2D
numerical simulations show that the trapping effect is greatly dependent on the
width of the region where viscosity reduction is taking place. Planet trapping
happens exclusively if the viscosity reduction is sharp enough to allow the
development of large-scale vortices due to the Rossby wave instability. The
trapping is only temporarily, and its duration is inversely proportional to the
width of the viscosity transition. However, if the Rossby wave instability is
not excited, a ring-like axisymmetric density jump forms, which cannot trap the
10 Earth-mass planetary cores. We revealed that the stellar torque exerted on
the planet plays an important role in the migration history as the barycentre
of the system significantly shifts away from the star due to highly
non-axisymmetric density distribution of the disc. Our results still support
the idea of planet formation at density/pressure maximum, since the migration
of cores is considerably slowed down enabling them further growth and runaway
gas accretion in the vicinity of an overdense region.


title:
Parton densities from LHC vector boson production at small and large
  transverse momenta

abstract:
  The parton densities of the proton are of fundamental importance not only for
our description of hadronic and nuclear structure, but also for reliable
predictions for new heavy particle searches at colliders. At the large partonic
momentum fractions required for the production of these particles, the parton
distribution functions, in particular the one of the gluon, are unfortunately
still badly constrained. In this paper, we investigate the possibility to
improve on their determination with new data coming from electroweak vector
boson production at large transverse momenta at the LHC with center-of-mass
energies of 7, 8 or 14 TeV. We demonstrate that this process is dominated by
quark-gluon scattering, that theoretical predictions can be reliably made on
the basis of next-to-leading order perturbation theory and its resummation, and
that these data should thus be used in global fits. We also point out that the
non-perturbative parameters determined from Tevatron run-1 Z-boson data at low
p_T describe very well the new LHC data at \sqrt{s}=7 TeV.


title:
Quantum reflections and the shunting of polariton condensate wave
  trains: implementation of a logic AND gate

abstract:
  We study the dynamics of polariton condensate wave trains that propagate
along a quasi one-dimensional waveguide. Through the application of tuneable
potential barriers the propagation can be reflected and multiple reflections
used to confine and store a propagating state. Energy-relaxation processes
allow the delayed relaxation into a long-living coherent ground state. Aside
the potential routing of polariton condensate signals, the system forms an
AND-type logic gate compatible with incoherent inputs.


title: A family index theorem for periodic Hamiltonian systems and bifurcation

abstract:
  We prove an index theorem for families of linear periodic Hamiltonian
systems, which is reminiscent of the Atiyah-Singer index theorem for
selfadjoint elliptic operators. For the special case of one-parameter families,
we compare our theorem with a classical result of Salamon and Zehnder. Finally,
we use the index theorem to study bifurcation of branches of periodic solutions
for families of nonlinear Hamiltonian systems.


title: Spin-dependent phenomena in semiconductors in strong electric fields

abstract:
  We develop a theory of spin-dependent phenomena in the streaming regime
characterized by ballistic acceleration of electrons in the moderate electric
field until they achieve the optical phonon energy and abruptly emit the
phonons. It is shown that the Dyakonov-Perel spin relaxation is drastically
modified in this regime, the current-induced spin orientation remarkably
increases, reaches a high value ~2% in the electric field ~1kV/cm and falls
with the further increase in the field. The spin polarization enhancement is
caused by squeezing of the electron momentum distribution in the direction of
drift. We also predict field-induced oscillatory dynamics of spin polarization
of the photocarriers excited into the conduction band by a short
circularly-polarized optical pulse.


title: Delaunay Surfaces

abstract:
  We derive parametrizations of the Delaunay constant mean curvature surfaces
of revolution that follow directly from parametrizations of the conics that
generate these surfaces via the corresponding roulette. This uniform treatment
exploits the natural geometry of the conic (parabolic, elliptic or hyperbolic)
and leads to simple expressions for the mean and Gaussian curvatures of the
surfaces as well as the construction of new surfaces.


title:
Estimating treatment effect heterogeneity in randomized program
  evaluation

abstract:
  When evaluating the efficacy of social programs and medical treatments using
randomized experiments, the estimated overall average causal effect alone is
often of limited value and the researchers must investigate when the treatments
do and do not work. Indeed, the estimation of treatment effect heterogeneity
plays an essential role in (1) selecting the most effective treatment from a
large number of available treatments, (2) ascertaining subpopulations for which
a treatment is effective or harmful, (3) designing individualized optimal
treatment regimes, (4) testing for the existence or lack of heterogeneous
treatment effects, and (5) generalizing causal effect estimates obtained from
an experimental sample to a target population. In this paper, we formulate the
estimation of heterogeneous treatment effects as a variable selection problem.
We propose a method that adapts the Support Vector Machine classifier by
placing separate sparsity constraints over the pre-treatment parameters and
causal heterogeneity parameters of interest. The proposed method is motivated
by and applied to two well-known randomized evaluation studies in the social
sciences. Our method selects the most effective voter mobilization strategies
from a large number of alternative strategies, and it also identifies the
characteristics of workers who greatly benefit from (or are negatively affected
by) a job training program. In our simulation studies, we find that the
proposed method often outperforms some commonly used alternatives.


title:
Simultaneous analysis of large INTEGRAL/SPI datasets: optimizing the
  computation of the solution and its variance using sparse matrix algorithms

abstract:
  Nowadays, analyzing and reducing the ever larger astronomical datasets is
becoming a crucial challenge, especially for long cumulated observation times.
The INTEGRAL/SPI X-gamma-ray spectrometer is an instrument for which it is
essential to process many exposures at the same time in order to increase the
low signal-to-noise ratio of the weakest sources. In this context, the
conventional methods for data reduction are inefficient and sometimes not
feasible at all. Processing several years of data simultaneously requires
computing not only the solution of a large system of equations, but also the
associated uncertainties. We aim at reducing the computation time and the
memory usage. Since the SPI transfer function is sparse, we have used some
popular methods for the solution of large sparse linear systems; we briefly
review these methods. We use the Multifrontal Massively Parallel Solver (MUMPS)
to compute the solution of the system of equations. We also need to compute the
variance of the solution, which amounts to computing selected entries of the
inverse of the sparse matrix corresponding to our linear system. This can be
achieved through one of the latest features of the MUMPS software that has been
partly motivated by this work. In this paper we provide a brief presentation of
this feature and evaluate its effectiveness on astrophysical problems requiring
the processing of large datasets simultaneously, such as the study of the
entire emission of the Galaxy. We used these algorithms to solve the large
sparse systems arising from SPI data processing and to obtain both their
solutions and the associated variances. In conclusion, thanks to these newly
developed tools, processing large datasets arising from SPI is now feasible
with both a reasonable execution time and a low memory usage.


title: On the 5d instanton index as a Hilbert series

abstract:
  The superconformal index for N=2 5d theories contains a non-perturbative part
arising from 5d instantonic operators which coincides with the Nekrasov
instanton partition function. In this note, for pure gauge theories, we
elaborate on the relation between such instanton index and the Hilbert series
of the instanton moduli space. We propose a non-trivial identification of
fugacities allowing the computation of the instanton index through the Hilbert
series. We show the agreement of our proposal with existing results in the
literature, as well as use it to compute the exact index for a pure U(1) gauge
theory.


title:
Andreev reflection at the edge of a two-dimensional electron system with
  strong spin-orbit coupling

abstract:
  We experimentally investigate transport properties of a single planar
junction between the niobium superconductor and the edge of a two-dimensional
electron system in a narrow $In_{0.75}Ga_{0.25}As$ quantum well with strong
Rashba-type spin-orbit coupling. We experimentally demonstrate suppression of
Andreev reflection at low biases at ultra low temperatures. From the analysis
of temperature and magnetic field behavior, we interpret the observed
suppression as a result of a spin-orbit coupling. There is also an experimental
sign of the topological superconductivity realization in the present structure.


title: Integrable quantum St\"ackel systems

abstract:
  The St\"ackel separability of a Hamiltonian system is well known to ensure
existence of a complete set of Poisson commuting integrals of motion quadratic
in the momenta. In the present paper we consider a class of St\"ackel separable
systems where the entries of the St\"ackel matrix are monomials in the
separation variables. We show that the only systems in this class for which the
integrals of motion arising from the St\"ackel construction keep commuting
after quantization are, up to natural equivalence transformations, the
so-called Benenti systems. Moreover, it turns out that the latter are the only
quantum separable systems (that is, they admit separation of variables in the
Schr\"odinger equation) in the class under study.


title: The coupled dynamics of two particles with different limit sets

abstract:
  We consider a system of two coupled particles evolving in a periodic and
spatially symmetric potential under the influence of external driving and
damping. The particles are driven individually in such a way that in the
uncoupled regime, one particle evolves on a chaotic attractor, while the other
evolves on regular periodic attractors. Notably only the latter supports
coherent particle transport. The influence of the coupling between the
particles is explored, and in particular how it relates to the emergence of a
directed current. We show that increasing the (weak) coupling strength subdues
the current in a process, which in phase-space, is related to a merging crisis
of attractors forming one large chaotic attractor in phase-space. Further, we
demonstrate that complete current suppression coincides with a chaos-hyperchaos
transition.


title: Compactness in the Lebesgue-Bochner spaces L^p(\mu;X)

abstract:
  Let (\Omega,\mu) be a finite measure space, X a Banach space, and let 1\le
p<\infty. The aim of this paper is to give an elementary proof of the
Diaz--Mayoral theorem that a subset V of L^p(\mu;X) is relatively compact if
and only if it is uniformly p-integrable, uniformly tight, and scalarly
relatively compact.


title:
Grassmannian Connection Between Three- and Four-Qubit Observables,
  Mermin's Contextuality and Black Holes

abstract:
  We invoke some ideas from finite geometry to map bijectively 135 heptads of
mutually commuting three-qubit observables into 135 symmetric four-qubit ones.
After labeling the elements of the former set in terms of a seven-dimensional
Clifford algebra, we present the bijective map and most pronounced actions of
the associated symplectic group on both sets in explicit forms. This formalism
is then employed to shed novel light on recently-discovered structural and
cardinality properties of an aggregate of three-qubit Mermin's 'magic'
pentagrams. Moreover, some intriguing connections with the so-called
black-hole--qubit correspondence are also pointed out.


title: The motivic Steenrod algebra in positive characteristic

abstract:
  Let S be an essentially smooth scheme over a field and l a prime number
invertible on S. We show that the algebra of bistable operations in the mod l
motivic cohomology of smooth S-schemes is generated by the motivic Steenrod
operations. This was previously proved by Voevodsky for S a field of
characteristic zero. We follow Voevodsky's proof but remove its dependence on
characteristic zero by using \'etale cohomology instead of topological
realization and by replacing resolution of singularities with a theorem of
Gabber on alterations.


title: INTEGRAL/SPI data segmentation to retrieve source intensity variations

abstract:
  The INTEGRAL/SPI, X-gamma-ray spectrometer (20 keV - 8 MeV) is an instrument
for which recovering source intensity variations is not straightforward and can
constitute a difficulty for data analysis. In most cases, determining the
source intensity changes between exposures is largely based on a priori
information. We propose techniques that help to overcome the difficulty related
to source intensity variations, which make this step more rational. In
addition, the constructed "synthetic" light curves should permit us to obtain a
sky model that describes the data better and optimizes the source
signal-to-noise ratios. For this purpose, the time intensity variation of each
source was modeled as a combination of piecewise segments of time during which
a given source exhibits a constant intensity. To optimize the signal-to-noise
ratios, the number of segments was minimized. We present a first method that
takes advantage of previous time series that can be obtained from another
instrument on-board the INTEGRAL observatory. A data segmentation algorithm was
then used to synthesize the time series into segments. The second method no
longer needs external light curves, but solely SPI raw data. For this, we
developed a specific algorithm that involves the SPI transfer function. The
time segmentation algorithms that were developed solve a difficulty inherent to
the SPI instrument, which is the intensity variations of sources between
exposures, and it allows us to obtain more information about the sources'
behavior.


title:
The bondage number of graphs on topological surfaces: degree-S vertices
  and the average degree

abstract:
  The bondage number $b(G)$ of a graph $G$ is the smallest number of edges
whose removal from $G$ results in a graph with larger domination number. An
orientable surface $\mathbb{S}_h$ of genus $h$, $h \geq 0$, is obtained from
the sphere $\mathbb{S}_0$ by adding $h$ handles. A non-orientable surface
$\mathbb{N}_q$ of genus $q$, $q \geq 1$, is obtained from the sphere by adding
$q$ crosscaps. The Euler characteristic of a surface is defined by
$\chi(\mathbb{S}_h) = 2 - 2h$ and $\chi(\mathbb{S}_q)= 2-q$. Let $G$ be a
connected graph of order $n$ which is 2-cell embedded on a surface $\mathbb{M}$
with $\chi(\mathbb{M})= \chi$. We prove that $b(G) \leq 7+i$ when $\mathbb{M} =
\mathbb{N}_i$, $i=1,2,3$, and $b(G) \leq 12$ when $\mathbb{M} \in
\{\mathbb{N}_4, \mathbb{S}_2\}$. We give new arguments that improve the known
upper bounds on the bondage number at least when $-7\chi/(\delta(G) - 5) < n
\leq -12\chi$, $\delta(G) \geq 6$, where $\delta(G)$ is the minimum degree of
$G$. We obtain sufficient conditions for the validity of the inequality $b(G)
\leq 2s-2$, provided $G$ has degree $s$ vertices. In particular, we prove that
if $\delta (G) = \delta \geq 6$, $\chi \leq -1$ and $-14\chi < \delta - 4 +
2(\delta -5)n$ then $b(G) \leq 2\delta -2$. We show that if $\gamma (G) =
\gamma \not = 2$, where $\gamma (G)$ is the domination number of $G$, then $n
\geq \gamma + (1 + \sqrt{9+8\gamma-8\chi})/2$; the bound is tight. We also
present upper bounds for the bondage number of graphs in terms of the girth,
domination number and Euler characteristic. As a corollary we prove that if
$\gamma(G) \geq 4$ and $\chi \leq -1$, then $b(G) \leq 11 - 24\chi/(9 +
\sqrt{41 - 8\chi})$. Several unanswered questions are posed.


title:
Observationally driven 3D MHD model of the solar corona above an active
  region

abstract:
  Aims. The goal is to employ a 3D magnetohydrodynamics (MHD) model including
spectral synthesis to model the corona in an observed solar active region. This
will allow us to judge the merits of the coronal heating mechanism built into
the 3D model. Methods. Photospheric observations of the magnetic field and
horizontal velocities in an active region are used to drive our coronal
simulation from the bottom. The currents induced by this heat the corona
through Ohmic dissipation. Heat conduction redistributes the energy that is
lost in the end through optically thin radiation. Based on the MHD model, we
synthesized profiles of coronal emission lines which can be directly compared
to actual coronal observations of the very same active region. Results. In the
synthesized model data we find hot coronal loops which host siphon flows or
which expand and lose mass through draining. These synthesized loops are at the
same location as and show similar dynamics in terms of Doppler shifts to the
observed structures. This match is shown through a comparison with Hinode data
as well as with 3D stereoscopic reconstructions of data from STEREO.
Conclusions. The considerable match to the actual observations shows that the
field-line braiding mechanism leading to the energy input in our corona
provides the proper distribution of heat input in space and time. From this we
conclude that in an active region the field-line braiding is the dominant
heating process, at least at the spatial scales available to current
observations.


title: Position angle changes of inner-jets in a sample of blazars

abstract:
  We have carried out the Gaussian model-fitting to the 15 GHz VLBA cores for a
sample of blazars from the MOJAVE database, analyzed the correlations in the
model-fitted parameters and studied the variability properties for different
group of sources. We find that the Fermi LAT-detected blazars have on average
higher position angle changes of cores than the LAT non-detected blazars, and
that the LAT-detected ones largely associate with more variable cores in flux
density.


title:
Bayesian semiparametric analysis for two-phase studies of
  gene-environment interaction

abstract:
  The two-phase sampling design is a cost-efficient way of collecting expensive
covariate information on a judiciously selected subsample. It is natural to
apply such a strategy for collecting genetic data in a subsample enriched for
exposure to environmental factors for gene-environment interaction (G x E)
analysis. In this paper, we consider two-phase studies of G x E interaction
where phase I data are available on exposure, covariates and disease status.
Stratified sampling is done to prioritize individuals for genotyping at phase
II conditional on disease and exposure. We consider a Bayesian analysis based
on the joint retrospective likelihood of phases I and II data. We address
several important statistical issues: (i) we consider a model with multiple
genes, environmental factors and their pairwise interactions. We employ a
Bayesian variable selection algorithm to reduce the dimensionality of this
potentially high-dimensional model; (ii) we use the assumption of gene-gene and
gene-environment independence to trade off between bias and efficiency for
estimating the interaction parameters through use of hierarchical priors
reflecting this assumption; (iii) we posit a flexible model for the joint
distribution of the phase I categorical variables using the nonparametric Bayes
construction of Dunson and Xing [J. Amer. Statist. Assoc. 104 (2009)
1042-1051].


title:
Accurate CI and Hylleraas-CI wave functions for the atomic effects in
  the whole-atom-nuclear beta-decay of the Li atom

abstract:
  In this review we study the level of accuracy of the electronic wave
functions which is necessary to describe properly the atomic effects during
nuclear beta-decay. In the case of the beta- decay in the Li atom into Be+ ion
we compare the numerical values of the transition probabilities from the S-,
P-, D-low-lying states of the initial atom and final ion calculated using both
Hylleraas-Configuration Interaction (Hy-CI) and Configuration Interaction (CI)
with Slater orbitals wave functions. In addition using the CI method the
transition probabilities from F, G, H and I low-lying states have been
calculated. The average of the absolute deviation of the transition
probabilities distribution for low-lying S-states is <0.15%, for P-states
<0.5%, and larger for D- and higher energy states. The numerical results
demonstrate that for low-lying states the atomic effect parameters in
beta-decay can be calculated with sufficient accuracy using CI wave functions
constructed with Slater orbitals. This result opens a new avenue for the
accurate calculation of atomic effects during the beta-decay in heavier atoms
and molecules.


title: The dimension of the St. Petersburg game

abstract:
  Let $S_n$ be the total gain in $n$ repeated St.\ Petersburg games. It is
known that $n^{-1}(S_n-n\log_2n)$ converges in distribution to a random element
$Y(t)$ along subsequences of the form $k(n)=2^{p(n)}t(n)$ with
$p(n)=\lceil\log_2k(n)\rceil\to\infty$ and $t(n)\to t\in[\frac12,1]$. We
determine the Hausdorff and box-counting dimension of the range and the graph
for almost all sample paths of the stochastic process $\{Y(t)\}_{t\in[1/2,1]}$.
The results are compared to the fractal dimension of the corresponding limiting
objects when gains are given by a deterministic sequence initiated by Hugo
Steinhaus.


title:
On Ultrafast Spin Dynamics: Spin Dependent Fast Response of Hot
  Electrons, of Band--Structure

abstract:
  Different energy shifts for majority and minority electrons occur. Thus, for
example in case of (laser) excited ferromagnetic metals majority and minority
electrons may respond differently in time during closing the exchange
splitting. Spin flip transitions of the hot electrons due to electron
interactions cause quasi hybridization of the spin split states. This is also
the case in itinerant ferromagnetic metals due to hopping between sites having
magnetic moments pointing in direction of the magnetization (+) and opposite
direction (-) and with energy levels $\varepsilon^+_{i\sigma}$ and
$\varepsilon^-_{i\sigma}$. For energetic reasons the molecular field acts
asymmetrically on the spins of the electrons and on spin flip transitions and
thus causes different lifetimes of minority and majority electrons and spin
dependent electron energy shifts. Quite general minority hot electrons in spin
split states may respond faster than majority electrons at non--equilibrium.
The molecular field acting on the spins delays spin flip transitions $\uparrow
\rightarrow \downarrow$ and thus a response of the hot majority electrons and
their energy levels. The closing of the exchange splitting in the electron
spectrum of ferromagnetic transition and rare--earth metals, ferromagnetic
semiconductors, spin split quantum well states in thin ferromagnetic films,
etc. will reflect this. The time and spin dependent energy shifts of electrons
at non--equilibrium may cause interesting behavior, in particular of magnetic
tunnel junctions, spin currents etc.. In ferromagnets the moment reversal
lifetime of (local) magnetic moments parallel to the global magnetization is
larger than of moments pointing in opposite direction.


title:
Mean field limit of bosonic systems in partially factorized states and
  their linear combinations

abstract:
  We study the mean field limit of one-particle reduced density matrices, for a
bosonic system in an initial state with a fixed number of particles, only a
fraction of which occupies the same state, and for linear combinations of such
states. In the mean field limit, the time-evolved reduced density matrix is
proved to converge: in trace norm, towards a rank one projection (on the state
solution of Hartree equation) for a single state; in Hilbert-Schmidt norm
towards a mixed state, combination of projections on different solutions
(corresponding to each initial datum), for states that are a linear
superposition.


title:
Creation of quasiparticles in graphene by a time-dependent electric
  field

abstract:
  We investigate the creation of massless quasiparticle pairs from the vacuum
state in graphene by the space homogeneous time-dependent electric field. For
this purpose the formalism of (2+1)-dimensional quantum electrodynamics is
applied to the case of a nonstationary background with arbitrary time
dependence allowing the S-matrix formulation of the problem. The number of
created pairs per unit graphene area is expressed via the asymptotic solution
at $t\to\infty$ of the second-order differential equation of an oscillator type
with complex frequency satisfying some initial conditions at $t\to-\infty$. The
obtained results are applied to the electric field with specific dependence on
time admitting the exact solution of Dirac equation. The number of created
pairs per unit area is calculated analytically in a wide variety of different
regimes depending on the parameters of electric field. The investigated earlier
case of static electric field is reproduced as a particular case of our
formalism. It is shown that the creation rate in a time-dependent field is
often larger than in a static field.


title:
Effect of Local Electron-Electron Correlation in Hydrogen-like
  Impurities in Ge

abstract:
  We have studied the electronic and local magnetic structure of the hydrogen
interstitial impurity at the tetrahedral site in diamond-structure Ge, using an
empirical tight binding + dynamical mean field theory approach because within
the local density approximation (LDA) Ge has no gap. We first establish that
within LDA the 1s spectral density bifurcates due to entanglement with the four
neighboring sp3 antibonding orbitals, providing an unanticipated richness of
behavior in determining under what conditions a local moment hyperdeep donor or
Anderson impurity will result, or on the other hand a gap state might appear.
Using a supercell approach, we show that the spectrum, the occupation, and the
local moment of the impurity state displays a strong dependence on the strength
of the local on-site Coulomb interaction U, the H-Ge hopping amplitude, the
depth of the bare 1s energy level epsilon_H, and we address to some extent the
impurity concentration dependence. In the isolated impurity, strong interaction
regime a local moment emerges over most of the parameter ranges indicating
magnetic activity, and spectral density structure very near (or in) the gap
suggests possible electrical activity in this regime.


title: Two Photon Correlation in Anisotropic Quark-gluon plasma (aQGP)

abstract:
  The only way to obtain the space-time structure of heavy ion collision is
through the study of two-particle momentum correlations. Thus we have studied
the intensity correlation for the photons having fixed transverse momentum of
one of the photons ($k_{1T}$= 2 GeV) in anisotropic Quark Gluon Plasma (aQGP)
to have an idea about emission zone in presence of initial momentum anisotropy.
The {\em free streaming interpolating} model with fixed initial condition has
been used for the space-time evolution for most central collision at RHIC
energy. The variation of Bose-Einstein correlation function (BECF), $C_2$, for
two identical photons as a function of $q_{out}$, $q_{side}$ and $q_{long}$ is
evaluated. We have restricted our analysis only to QGP phase to know the effect
of anisotropy on the correlation function and HBT radii extracted. It is
observed that the longitudinal dimension of the reaction zone is mostly
affected due to the presence of momentum space anisotropy.


title: The Web Geometry Laboratory Project

abstract:
  The "Web Geometry Laboratory" (WGL) project's goal is to build an adaptive
and collaborative blended-learning Web-environment for geometry. In its current
version (1.0) the WGL is already a collaborative blended-learning
Web-environment integrating a dynamic geometry system (DGS) and having some
adaptive features. All the base features needed to implement the adaptive
module and to allow the integration of a geometry automated theorem prover
(GATP) are also already implemented. The actual testing of the WGL platform by
high-school teachers is underway and a field-test with high-school students is
being prepared. The adaptive module and the GATP integration will be the next
steps of this project.


title: Constraints on new physics from rare (semi-)leptonic B decays

abstract:
  The measurements of rare leptonic and semi-leptonic B decays performed at the
LHC, not showing any significant deviations from the Standard Model
expectations, put strong constraints on new physics. A brief account of the
impact of recent measurements is given. As a concrete example, models with
partial compositeness are discussed, where tree-level flavour-changing Z
couplings lead to potentially visibile effects in rare B (and K) decays that
will be scrutinized experimentally in the near future.


title: Infrared dynamics in de Sitter space from Schwinger-Dyson equations

abstract:
  We study the two-point correlator of an O(N) scalar field with quartic
self-coupling in de Sitter space. For light fields in units of the expansion
rate, perturbation theory is plagued by large logarithmic terms for
superhorizon momenta. We show that a proper treatment of the infinite series of
self-energy insertions through the Schwinger-Dyson equations resums these
infrared logarithms into well defined power laws. We provide an exact
analytical solution of the Schwinger-Dyson equations for infrared momenta when
the self-energy is computed at two-loop order. The obtained correlator exhibits
a rich structure with a superposition of free-field-like power laws. We extract
mass and field-strength renormalization factors from the asymptotic infrared
behavior. The latter are nonperturbative in the coupling in the case of a
vanishing tree-level mass.


title: Behaviour of a muonic atom as an acceptor centre in diamond

abstract:
  Polarized negative muons were used to study the behaviour of the boron
acceptor centre in synthetic diamond produced by the chemical vapour deposition
(CVD) method. The negative muon substitutes one of the electrons in a carbon
atom, and this muonic atom imitates the boron acceptor impurity in diamond. The
temperature dependence of the muon spin relaxation rate and spin precession
frequency were measured in the range of 20 - 330 K in a transverse magnetic
field of 14 kOe. For the first time a negative shift of the muon spin
precession was observed in diamond. It is tentatively attributed to an
anisotropic hyperfine interaction in the boron acceptor. The magnetic
measurements showed that the magnetic susceptibility of the CVD sample was
close to that of the purest natural diamond.


title: Optimal noise maximizes collective motion in heterogeneous media

abstract:
  We study the effect of spatial heterogeneity on the collective motion of
self-propelled particles (SPPs). The heterogeneity is modeled as a random
distribution of either static or diffusive obstacles, which the SPPs avoid
while trying to align their movements. We find that such obstacles have a
dramatic effect on the collective dynamics of usual SPP models. In particular,
we report about the existence of an optimal (angular) noise amplitude that
maximizes collective motion. We also show that while at low obstacle densities
the system exhibits long-range order, in strongly heterogeneous media
collective motion is quasi-long-range and exists only for noise values in
between two critical noise values, with the system being disordered at both,
large and low noise amplitudes. Since most real system have spatial
heterogeneities, the finding of an optimal noise intensity has immediate
practical and fundamental implications for the design and evolution of
collective motion strategies.


title: Quantum and classical characterization of single/few photon detectors

abstract:
  This paper's purpose is to review the results recently obtained in the
Quantum Optics labs of the National Institute of Metrological Research (INRIM)
in the field of single- and few-photon detectors calibration, from both the
classical and quantum viewpoint. In the first part of the paper is presented
the calibration of a single-photon detector with absolute methods, while in the
second part we focus on photon-number-resolving detectors, discussing both the
classical and quantum characterization of such devices.


title: Optical activity of relic neutrino-antineutrino gas

abstract:
  We revise a problem of the birefringence of electromagnetic waves in a chiral
medium in the Standard Model (SM) of particle physics arising in an isotropic
plasma due to parity violation. The recent calculations of the weak correction
to the photon polarization operator in electroweak plasma allow significantly
to improve some previous estimates of such effect in astrophysics.
Nevertheless, it has remained beyond the abilities of the present technics yet.


title: Formal Mathematics on Display: A Wiki for Flyspeck

abstract:
  The Agora system is a prototype "Wiki for Formal Mathematics", with an aim to
support developing and documenting large formalizations of mathematics in a
proof assistant. The functions implemented in Agora include in-browser editing,
strong AI/ATP proof advice, verification, and HTML rendering. The HTML
rendering contains hyperlinks and provides on-demand explanation of the proof
state for each proof step. In the present paper we show the prototype Flyspeck
Wiki as an instance of Agora for HOL Light formalizations. The wiki can be used
for formalizations of mathematics and for writing informal wiki pages about
mathematics. Such informal pages may contain islands of formal text, which is
used here for providing an initial cross-linking between Hales's informal
Flyspeck book, and the formal Flyspeck development.
  The Agora platform intends to address distributed wiki-style collaboration on
large formalization projects, in particular both the aspect of immediate
editing, verification and rendering of formal code, and the aspect of gradual
and mutual refactoring and correspondence of the initial informal text and its
formalization. Here, we highlight these features within the Flyspeck Wiki.


title: Production of the tetraquark state $T_{cc}$ at the B-factories

abstract:
  We study production of the tetraquark state $T_{cc}$ via virtual photon at
the B-factories in the QCD factorization framework. We predict the cross
section of tetraquark state production in the leading order at the B-factories.


title: Fast inference in generalized linear models via expected log-likelihoods

abstract:
  Generalized linear models play an essential role in a wide variety of
statistical applications. This paper discusses an approximation of the
likelihood in these models that can greatly facilitate computation. The basic
idea is to replace a sum that appears in the exact log-likelihood by an
expectation over the model covariates; the resulting "expected log-likelihood"
can in many cases be computed significantly faster than the exact
log-likelihood. In many neuroscience experiments the distribution over model
covariates is controlled by the experimenter and the expected log-likelihood
approximation becomes particularly useful; for example, estimators based on
maximizing this expected log-likelihood (or a penalized version thereof) can
often be obtained with orders of magnitude computational savings compared to
the exact maximum likelihood estimators. A risk analysis establishes that these
maximum EL estimators often come with little cost in accuracy (and in some
cases even improved accuracy) compared to standard maximum likelihood
estimates. Finally, we find that these methods can significantly decrease the
computation time of marginal likelihood calculations for model selection and of
Markov chain Monte Carlo methods for sampling from the posterior parameter
distribution. We illustrate our results by applying these methods to a
computationally-challenging dataset of neural spike trains obtained via
large-scale multi-electrode recordings in the primate retina.


title: Computing with and without arbitrary large numbers

abstract:
  In the study of random access machines (RAMs) it has been shown that the
availability of an extra input integer, having no special properties other than
being sufficiently large, is enough to reduce the computational complexity of
some problems. However, this has only been shown so far for specific problems.
We provide a characterization of the power of such extra inputs for general
problems. To do so, we first correct a classical result by Simon and Szegedy
(1992) as well as one by Simon (1981). In the former we show mistakes in the
proof and correct these by an entirely new construction, with no great change
to the results. In the latter, the original proof direction stands with only
minor modifications, but the new results are far stronger than those of Simon
(1981). In both cases, the new constructions provide the theoretical tools
required to characterize the power of arbitrary large numbers.


title: Gravitational-Wave Detection using Multivariate Analysis

abstract:
  Searches for gravitational-wave bursts (transient signals, typically of
unknown waveform) require identification of weak signals in background detector
noise. The sensitivity of such searches is often critically limited by
non-Gaussian noise fluctuations which are difficult to distinguish from real
signals, posing a key problem for transient gravitational-wave astronomy.
Current noise rejection tests are based on the analysis of a relatively small
number of measured properties of the candidate signal, typically correlations
between detectors. Multivariate analysis (MVA) techniques probe the full space
of measured properties of events in an attempt to maximise the power to
accurately classify events as signal or background. This is done by taking
samples of known background events and (simulated) signal events to train the
MVA classifier, which can then be applied to classify events of unknown type.
We apply the boosted decision tree (BDT) MVA technique to the problem of
detecting gravitational-wave bursts associated with gamma-ray bursts. We find
that BDTs are able to increase the sensitive distance reach of the search by as
much as 50%, corresponding to a factor of ~3 increase in sensitive volume. This
improvement is robust against trigger sky position, large sky localisation
error, poor data quality, and the simulated signal waveforms that are used.
Critically, we find that the BDT analysis is able to detect signals that have
different morphologies to those used in the classifier training and that this
improvement extends to false alarm probabilities beyond the 3{\sigma}
significance level. These findings indicate that MVA techniques may be used for
the robust detection of gravitational-wave bursts with a priori unknown
waveform.


title: Polarization observables in low-energy antiproton-proton scattering

abstract:
  We investigate the polarization parameters in low-energy antiproton-proton
elastic ($\bar{p}p\rightarrow\bar{p}p$) and charge-exchange
($\bar{p}p\rightarrow\bar{n}n$) scattering. The predictions for unmeasured
observables are based on our new energy-dependent partial-wave analysis of all
antiproton-proton scattering data below 925 MeV/$c$ antiproton laboratory
momentum, which gives an optimal description of the existing database. Sizable
and remarkable spin effects are observed, in particular for charge-exchange
scattering. These result from the spin dependence of the long- and medium-range
one- and two-pion exchange antinucleon-nucleon potential and the state
dependence of the parametrized short-range interaction. We study the
possibility of polarizing a circulating antiproton beam with a polarized proton
target by exploiting the spin dependence of the $\bar{p}p$ total cross section.
It appears feasible to achieve a significant transverse polarization of an
antiproton beam within a reasonable time.


title: On a quite recent proposal of faster than light quantum communication

abstract:
  In a recent paper, Kalamidas has advanced a new proposal of faster than light
communication which has not yet been proved invalid. In this paper we show
that, as all previous proposals, it does not work. The mistake arises from an
inappropriate use of some approximations.


title: From magnetic to Fermi Liquid behavior in CeCo{1-x}Fe{x}Si alloys

abstract:
  Structural, magnetic and thermal measurements performed on CeCo{1-x}Fe{x}Si
alloys are reported. Three regions can be recognized: i) Co-rich (x < 0.20)
with a decreasing long range antiferromagnetic order which vanishes at finite
temperature, ii) an intermediate region (0.20 < x < 0.30) showing a broad
magnetic anomaly (C_A) in specific heat and iii) the non-magnetic region
progressively changing from a non-Fermi-liquid type behavior towards a Fermi
liquid one as Fe concentration increases. The C_A anomaly emerges as an
incipient contribution above T_N already at x = 0.10, which indicates that this
contribution is related to short range correlations likely of quasi-two
dimensional type. Both, T_N transition and C_A anomaly are practically not
affected by applied magnetic field up to B ~ 10 Tesla.


title:
Majorana CP-violating phases in neutrino-antineutrino oscillations and
  other lepton-number-violating processes

abstract:
  If the massive neutrinos are identified to be the Majorana particles via a
convincing measurement of the neutrinoless double beta (0\nu\beta\beta) decay,
how to determine the Majorana CP-violating phases in the 3 x 3 lepton flavor
mixing matrix U will become a desirable experimental question. The answer to
this question is to explore all the possible lepton-number-violating (LNV)
processes in which the Majorana phases really matter. In this paper we carry
out a systematic study of CP violation in neutrino-antineutrino oscillations,
whose CP-conserving parts involve six independent 0\nu\beta\beta-like mass
terms <m>_{\alpha\beta} and CP-violating parts are associated with nine
independent Jarlskog-like parameters V^{ij}_{\alpha\beta} (for \alpha, \beta =
e, \mu, \tau and i, j = 1, 2,3). With the help of current neutrino oscillation
data, we analyze the sensitivities of |<m>_{\alpha\beta}| and
V^{ij}_{\alpha\beta} to the three CP-violating phases of U, and illustrate the
salient features of six independent CP-violating asymmetries between \nu_\alpha
\to \bar{\nu}_\beta and \bar{\nu}_\alpha \to \nu_\beta oscillations. As a
by-product, the effects of the CP-violating phases on the LNV decays of doubly-
and singly-charged Higgs bosons are reexamined by taking account of the
unsuppressed value of \theta_{13}. Such CP-conserving LNV processes can be
complementary to the possible measurements of neutrino-antineutrino
oscillations in the distant future.


title:
Online Leader Selection for Improved Collective Tracking and Formation
  Maintenance

abstract:
  The goal of this work is to propose an extension of the popular
leader-follower framework for multi-agent collective tracking and formation
maintenance in presence of a time- varying leader. In particular, the leader is
persistently selected online so as to optimize the tracking performance of an
exogenous collective velocity command while also maintaining a desired
formation via a (possibly time-varying) communication-graph topology. The
effects of a change in the leader identity are theoretically analyzed and
exploited for defining a suitable error metric able to capture the tracking
performance of the multi- agent group. Both the group performance and the
metric design are found to depend upon the spectral properties of a special
directed graph induced by the identity of the chosen leader. By exploiting
these results, as well as distributed estimation techniques, we are then able
to detail a fully-decentralized adaptive strategy able to periodically select
online the best leader among the neighbors of the current leader. Numerical
simulations show that the application of the proposed technique results in an
improvement of the overall performance of the group behavior w.r.t. other
possible strategies.


title: The Gravitational Universe

abstract:
  The last century has seen enormous progress in our understanding of the
Universe. We know the life cycles of stars, the structure of galaxies, the
remnants of the big bang, and have a general understanding of how the Universe
evolved. We have come remarkably far using electromagnetic radiation as our
tool for observing the Universe. However, gravity is the engine behind many of
the processes in the Universe, and much of its action is dark. Opening a
gravitational window on the Universe will let us go further than any
alternative. Gravity has its own messenger: Gravitational waves, ripples in the
fabric of spacetime. They travel essentially undisturbed and let us peer deep
into the formation of the first seed black holes, exploring redshifts as large
as z ~ 20, prior to the epoch of cosmic re-ionisation. Exquisite and
unprecedented measurements of black hole masses and spins will make it possible
to trace the history of black holes across all stages of galaxy evolution, and
at the same time constrain any deviation from the Kerr metric of General
Relativity. eLISA will be the first ever mission to study the entire Universe
with gravitational waves. eLISA is an all-sky monitor and will offer a wide
view of a dynamic cosmos using gravitational waves as new and unique messengers
to unveil The Gravitational Universe. It provides the closest ever view of the
early processes at TeV energies, has guaranteed sources in the form of
verification binaries in the Milky Way, and can probe the entire Universe, from
its smallest scales around singularities and black holes, all the way to
cosmological dimensions.


title:
Rotation periods of 12 000 main-sequence Kepler stars: Dependence on
  stellar spectral type and comparison with v sin i observations

abstract:
  Aims: We aim to measure the starspot rotation periods of active stars in the
Kepler field as a function of spectral type and to extend reliable rotation
measurements from F-, G-, and K-type to M-type stars.
  Methods: Using the Lomb-Scargle periodogram we searched more than 150 000
stellar light curves for periodic brightness variations. We analyzed periods
between 1 and 30 days in eight consecutive Kepler quarters, where 30 days is an
estimated maximum for the validity of the PDC_MAP data correction pipeline. We
selected stable rotation periods, i.e., periods that do not vary from the
median by more than one day in at least six of the eight quarters. We averaged
the periods for each stellar spectral class according to B - V color and
compared the results to archival vsini data, using stellar radii estimates from
the Kepler Input Catalog.
  Results: We report on the stable starspot rotation periods of 12 151 Kepler
stars. We find good agreement between starspot velocities and vsini data for
all F-, G- and early K-type stars. The 795 M-type stars in our sample have a
median rotation period of 15.4 days. We find an excess of M-type stars with
periods less than 7.5 days that are potentially fast-rotating and fully
convective. Measuring photometric variability in multiple Kepler quarters
appears to be a straightforward and reliable way to determine the rotation
periods of a large sample of active stars, including late-type stars.


title: Rational connectedness implies finiteness of quantum K-theory

abstract:
  Let X be any generalized flag variety with Picard group of rank one. Given a
degree d, consider the Gromov-Witten variety of rational curves of degree d in
X that meet three general points. We prove that, if this Gromov-Witten variety
is rationally connected for all large degrees d, then the structure constants
of the small quantum K-theory ring of X vanish for large degrees.


title:
Current-Voltage Characteristics and non-Gaussian fluctuations in two
  different protein light receptors

abstract:
  We investigate conductance and conductance fluctuations of two transmembrane
proteins, bacteriorhodopsin and proteorhodopsin, belonging to the family of
protein light receptors. These proteins are widely diffused in aqueous
environments, are sensitive to visible light and are promising biomaterials for
the realization of novel photodevices. The conductance exhibits a rapid
increase at increasing applied voltages, over a threshold value. Around the
threshold value the variance of conductance fluctuations shows a dramatic jump
of about 5 orders of magnitude: conductance and variance behaviours trace a
second order phase transition. Furthermore, the conductance fluctuations
evidence a non-Gaussian behaviour with a probability density function (PDF)
which follows a generalized Gumbel distribution, typical of extreme-value
statistics. The theoretical model is validated on existing current-voltage
measurements and the interpretation of the PDF of conductance fluctuations is
proven to be in line with the microscopic mechanisms responsible of charge
transport.


title: Escaping the Trap of too Precise Topic Queries

abstract:
  At the very center of digital mathematics libraries lie controlled
vocabularies which qualify the {\it topic} of the documents. These topics are
used when submitting a document to a digital mathematics library and to perform
searches in a library. The latter are refined by the use of these topics as
they allow a precise classification of the mathematics area this document
addresses. However, there is a major risk that users employ too precise topics
to specify their queries: they may be employing a topic that is only "close-by"
but missing to match the right resource. We call this the {\it topic trap}.
Indeed, since 2009, this issue has appeared frequently on the i2geo.net
platform. Other mathematics portals experience the same phenomenon. An approach
to solve this issue is to introduce tolerance in the way queries are understood
by the user. In particular, the approach of including fuzzy matches but this
introduces noise which may prevent the user of understanding the function of
the search engine.
  In this paper, we propose a way to escape the topic trap by employing the
navigation between related topics and the count of search results for each
topic. This supports the user in that search for close-by topics is a click
away from a previous search. This approach was realized with the i2geo search
engine and is described in detail where the relation of being {\it related} is
computed by employing textual analysis of the definitions of the concepts
fetched from the Wikipedia encyclopedia.


title:
Convergence to the equilibria for self-stabilizing processes in
  double-well landscape

abstract:
  We investigate the convergence of McKean-Vlasov diffusions in a nonconvex
landscape. These processes are linked to nonlinear partial differential
equations. According to our previous results, there are at least three
stationary measures under simple assumptions. Hence, the convergence problem is
not classical like in the convex case. By using the method in Benedetto et al.
[J. Statist. Phys. 91 (1998) 1261-1271] about the monotonicity of the
free-energy, and combining this with a complete description of the set of the
stationary measures, we prove the global convergence of the self-stabilizing
processes.


title: Hilbert-Polya conjecture and Generalized Riemann Hypothesis

abstract:
  Extending a classical integral representation of Dirichlet L-functions
associated to a non trivial primitive character we define associated functions
B(y,z) which are eigenfunction of a Hermitian operator H. The eigenvalues are
the imaginary parts of the L-functions zeros. We prove that if s is a non
trivial zero of such a Dirichlet L-function with Re(s)<1/2, then: - the
associated eigenfunction B(z,y) is square integrable. - the operator H is
"Hermitian" for this function: <BH,B>=<B,HB>. We deduce from this (using the
idea of Hilbert-Polya and finding a contradiction) the Generalized Riemann
Hypothesis: the non trivial zeros of a Dirichlet L-function lie on the critical
line Re(s)=1/2. This results correspond to a weak form of the Hilbert-Polya
conjecture (as for Re(s)=1/2 the eigenfunctions presented here are not square
integrable).


title: Low-Q whispering gallery modes in anisotropic metamaterial shells

abstract:
  Anisotropic and inhomogeneous metamaterial shells are studied in order to
exploit all their resonant mode richness. These multilayer structures are based
on a cylindrical distribution of radially dependent constitutive parameters
including an inner void cavity. Shell, cavity and whispering gallery modes are
characterized, and special attention is paid to the latter ones. The whispering
gallery modes are created at the boundary layers of the shell with the
background and energy localization is produced with highly radiative
characteristics. These low-Q resonant states have frequencies that are
independent of the shell thickness. However, their quality factors can be
controlled by the number of layers forming the shell, which allows confining
electromagnetic waves at the interface layers (internal or external), and make
them suitable for the harvesting of electromagnetic energy.


title: Edge Detection in Radar Images Using Weibull Distribution

abstract:
  Radar images can reveal information about the shape of the surface terrain as
well as its physical and biophysical properties. Radar images have long been
used in geological studies to map structural features that are revealed by the
shape of the landscape. Radar imagery also has applications in vegetation and
crop type mapping, landscape ecology, hydrology, and volcanology. Image
processing is using for detecting for objects in radar images. Edge detection;
which is a method of determining the discontinuities in gray level images; is a
very important initial step in Image processing. Many classical edge detectors
have been developed over time. Some of the well-known edge detection operators
based on the first derivative of the image are Roberts, Prewitt, Sobel which is
traditionally implemented by convolving the image with masks. Also Gaussian
distribution has been used to build masks for the first and second derivative.
However, this distribution has limit to only symmetric shape. This paper will
use to construct the masks, the Weibull distribution which was more general
than Gaussian because it has symmetric and asymmetric shape. The constructed
masks are applied to images and we obtained good results.


title: Emerging Ideas in Nanocantilever based Biological Sensors

abstract:
  In this review article, we focus on emerging nanocantilever based biological
sensors and discuss the response of nanocantilevers towards bio-molecules
capture. The article guides the reader through various modes of operation
(e.g., static or dynamic) to detect the change in characteristics (e.g., mass,
stiffness, and/or surface stress) of cantilever due to adsorption of
bio-molecules on cantilever surface. First, we explain the classical linear
resonant mode mass sensors and static stress based sensors. The effect of
operating the cantilever in nonlinear regime is then illustrated through
examples of bifurcation based mass sensors and electromechanical coupling based
Flexure-FET biosensors. We believe that a new class of nonlinear sensors, with
their extraordinary sensitivity towards bio-molecules capture, could be the
potential candidate for low cost point-of-care applications.


title:
Adiabatic quantum metrology with strongly correlated quantum optical
  systems

abstract:
  We show that the quasi-adiabatic evolution of a system governed by the Dicke
Hamiltonian can be described in terms of a self-induced quantum many-body
metrological protocol. This effect relies on the sensitivity of the ground
state to a small symmetry-breaking perturbation at the quantum phase
transition, that leads to the collapse of the wavefunciton into one of two
possible ground states. The scaling of the final state properties with the
number of atoms and with the intensity of the symmetry breaking field, can be
interpreted in terms of the precession time of an effective quantum
metrological protocol. We show that our ideas can be tested with spin-phonon
interactions in trapped ion setups. Our work points to a classification of
quantum phase transitions in terms of the capability of many-body quantum
systems for parameter estimation.


title:
Translation invariant theory of polaron (bipolaron) and the problem of
  quantizing near the classical solution

abstract:
  A physical interpretation of translation-invariant polarons and bipolarons is
presented, some results of their existence are discussed. Consideration is
given to the problem of quantization in the vicinity of the classical solution
in the quantum field theory. The lowest variational estimate is obtained for
the bipolaron energy E(\eta) with E(0)=-0,440636\alpha^2, where \alpha is a
constant of electron-phonon coupling, \eta is a parameter of ion binding.


title:
Formation of stationary electronic states in finite homogeneous
  molecular chains

abstract:
  Evolution of an arbitrary initial distribution of a quantummechanical
particle in a uniform molecular chain is simulated by a system of coupled
quantumclassical dynamical equations with dissipation. Stability of a uniform
distribution of the particle over the chain is studied. An asymptotical
expression is obtained for the time in which a localized state is formed. The
validity of the expression is checked by direct computational experiments. It
is shown that the time of soliton and multisoliton type states formation
depends strongly on the initial phase of the particle's wave function. It is
shown that in multisoliton states objects with a fractional electron charge
which can be observed experimentally are realized. The results obtained are
applied to synthetic uniform polynucleotide molecular chains.


title: Growing bubbles in a slightly supersaturated liquid solution

abstract:
  We have designed and constructed an experimental system to study gas bubble
growth in slightly supersatu- rated liquids. This is achieved by working with
carbon dioxide dissolved in water, pressurized at a maximum of 1 MPa and
applying a small pressure drop from saturation conditions. Bubbles grow from
hydrophobic cavities etched on silicon wafers, which allows us to control their
number and position. Hence, the experiment can be used to investigate the
interaction among bubbles growing in close proximity when the main mass
transfer mechanism is diffusion and there is a limited availability of the
dissolved species.


title:
Characterizing A Database of Sequential Behaviors with Latent Dirichlet
  Hidden Markov Models

abstract:
  This paper proposes a generative model, the latent Dirichlet hidden Markov
models (LDHMM), for characterizing a database of sequential behaviors
(sequences). LDHMMs posit that each sequence is generated by an underlying
Markov chain process, which are controlled by the corresponding parameters
(i.e., the initial state vector, transition matrix and the emission matrix).
These sequence-level latent parameters for each sequence are modeled as latent
Dirichlet random variables and parameterized by a set of deterministic
database-level hyper-parameters. Through this way, we expect to model the
sequence in two levels: the database level by deterministic hyper-parameters
and the sequence-level by latent parameters. To learn the deterministic
hyper-parameters and approximate posteriors of parameters in LDHMMs, we propose
an iterative algorithm under the variational EM framework, which consists of E
and M steps. We examine two different schemes, the fully-factorized and
partially-factorized forms, for the framework, based on different assumptions.
We present empirical results of behavior modeling and sequence classification
on three real-world data sets, and compare them to other related models. The
experimental results prove that the proposed LDHMMs produce better
generalization performance in terms of log-likelihood and deliver competitive
results on the sequence classification problem.


title: Geometrical Lorentz Violation and Quantum Mechanical Physics

abstract:
  On the basis of the results of some experiments dealing with the violation of
Local Lorentz Invariance (LLI) and on the formalism of the Deformed Special
Relativity (DSR), we examine the connections between the local geometrical
structure of space-time and the foundation of Quantum Mechanics. We show that
Quantum Mechanics, beside being an axiomatic theory, can be considered also a
deductive physical theory, deducted from the primary physical principle of
Relativistic Correlation. This principle is synonym of LLI and of a rigid and
at minkowskian space-time. The results of the experiments mentioned above show
the breakdown of LLI and hence the violation of the principle of Relativistic
Correlation. The formalism of DSR allows to highlight the deep meaning of LLI
breakdown in terms of the geometrical structure of local space-time which, far
from being rigid and at, is deformed by the energy of the physical phenomena
that take place and in this sense it has an active part in the dynamics of the
whole physical process. This perspective has a far reaching physical meaning
that extends its consequences to the foundations of Quantum Mechanics according
to the interpretation of Copenhagen. It provides a 'real' explanation and
description of quantum phenomena enriching, by the concept of deformed
space-time, the realistic interpretation in terms of pilot wave and hence it
uncovers the reality hidden below the probabilistic interpretation and
dualistic nature of quantum objects.


title: Oscillating and star-shaped drops levitated by an airflow

abstract:
  We investigate the spontaneous oscillations of drops levitated above an air
cushion, eventually inducing a breaking of axisymmetry and the appearance of
`star drops'. This is strongly reminiscent of the Leidenfrost stars that are
observed for drops floating above a hot substrate. The key advantage of this
work is that we inject the airflow at a constant rate below the drop, thus
eliminating thermal effects and allowing for a better control of the flow rate.
We perform experiments with drops of different viscosities and observe stable
states, oscillations and chimney instabilities. We find that for a given drop
size the instability appears above a critical flow rate, where the latter is
largest for small drops. All these observations are reproduced by numerical
simulations, where we treat the drop using potential flow and the gas as a
viscous lubrication layer. Qualitatively, the onset of instability agrees with
the experimental results, although the typical flow rates are too large by a
factor 10. Our results demonstrate that thermal effects are not important for
the formation of star drops, and strongly suggest a purely hydrodynamic
mechanism for the formation of Leidenfrost stars.


title: A SQMRCGstab Algorithm for Families of Shifted Linear Systems

abstract:
  This study is mainly focused on iterative solutions to shifted linear systems
arising from a Quantum Chromodynamics (QCD) problem. To solve such system
efficiently, we explore a kind of shifted QMRCGstab (SQMRCGstab) methods, which
is derived by extending the quasi-minimum residual to the shifted BiCGstab. The
shifted QMRCGstab method takes advantage of the shifted structure, so that the
number of matrix-vector products and the number of inner products are the same
as a single linear system. Moreover, the SQMRCGstab achieves a smoothing of the
residual compared to the shifted BiCGstab, and is more competitive than the
MS-QMRIDR(s) and the shifted BiCGstab on the QCD problem. Numerical examples
show also the efficiency of the method when one applies it to the real
problems.


title: The baryonic self similarity of dark matter

abstract:
  The cosmological simulations indicates that the dark matter haloes have
specific self similar properties. However the halo similarity is affected by
the baryonic feedback, the momentum injected by the supernovae re-shape the
dark matter core and transform it to a flat density core, with a scale length
imposed by the baryonic feedback. Additionally the baryon feedback impose also
an equilibrium condition, which when coupled with the imposed baryonic scale
length induce a new type of similarity. The new self similar solution implies
that the acceleration generated by dark matter is scale free, which in turns
implies that the baryonic acceleration at a reference radius is also scale
free. Constant dark matter and baryonic accelerations at a reference radius
have effectively been observed for a large class of different galaxies, which
is in support of this approach. The new self similar properties implies that
the total acceleration at larger distances is scale free, the transition
between the dark matter and baryons dominated regime occurs at a constant
acceleration, and the maximum of the velocity curve which defines the amplitude
of the velocity curve at larger distances is proportional to $M^{\frac{1}{4}}$.
These results demonstrates that in this self similar model, cold dark matter is
consistent with the basics of MOND phenomenology for the galaxies. In agreement
with the observation the coincidence between the self similar model and MOND is
expected to break at the scale of clusters of galaxies. Some numerical
experiments shows that the behavior of the density near the origin is closely
approximated by a Einasto profile.


title:
K to \pi\pi\ hadronic matrix elements of left-right current-current
  operators

abstract:
  Effective \Delta S=1 four fermion operators involving left- and right-handed
currents are relevant in left-right gauge extensions of the standard model and
scalar extension of the Yukawa sector. They induce K to \pi\pi\ decays which
are strictly constrained by experimental data, typically resulting in strong
bounds on the new physics scales or parameters. We evaluate the K to \pi\pi\
hadronic matrix elements of such operators within the phenomenological
framework of the Chiral Quark Model. The results are consistent with the
estimates used in a previous work on TeV scale left-right symmetry, thus
confirming the conclusions obtained there.


title:
Transport control of dust particles via the Electrical Asymmetry Effect:
  experiment, simulation, and modeling

abstract:
  The control of the spatial distribution of micrometer-sized dust particles in
capacitively coupled radio frequency discharges is relevant for research and
applications. Typically, dust particles in plasmas form a layer located at the
sheath edge adjacent to the bottom electrode. Here, a method of manipulating
this distribution by the application of a specific excitation waveform, i.e.
two consecutive harmonics, is discussed. Tuning the phase angle \theta between
the two harmonics allows to adjust the discharge symmetry via the Electrical
Asymmetry Effect (EAE). An adiabatic (continuous) phase shift leaves the dust
particles at an equilibrium position close to the lower sheath edge. Their
levitation can be correlated with the electric field profile. By applying an
abrupt phase shift the dust particles are transported between both sheaths
through the plasma bulk and partially reside at an equilibium position close to
the upper sheath edge. Hence, the potential profile in the bulk region is
probed by the dust particles providing indirect information on plasma
properties. The respective motion is understood by an analytical model, showing
both the limitations and possible ways of optimizing this sheath-to-sheath
transport. A classification of the transport depending on the change in the dc
self bias is provided, and the pressure dependence is discussed.


title:
Gravitational Particle Production in Gravity Theories with Non-minimal
  Derivative Couplings

abstract:
  We study the gravitational production of heavy X-particles of mass of the
order of the inflaton mass, produced after the end of inflation. We find that,
in the presence of a derivative coupling of the inflaton field or of the
X-field to the Einstein tensor, the number of gravitationally produced
particles is suppressed as the strength of the coupling is increased.


title: Moving frames and prolongations of real algebraic actions

abstract:
  We prove that every real algebraic action on a smooth real algebraic variety
has a prolongation with a "moving frame".


title: Some results about Linear Recurrence Relation Homomorphisms

abstract:
  In this paper we propose a definition of a recurrence relation homomorphism
and illustrate our definition with a few examples. We then define the period of
a k-th order of linear recurrence relation and deduce certain preliminary
results associated with them.


title:
Dissipation attack on Bennett-Brassard 1984 protocol in practical
  quantum key distribution system

abstract:
  We propose a new kind of individual attack, based on randomly selected
dissipation, on Bennett-Brassard 1984 protocol of practical quantum key
distribution (QKD) system with lossy and noisy quantum channel. Since an
adversary with super quantum channel can disguise loss and errors induced by
his attack as that of the system, he can obtain innegligible amount of
information for a practical QKD system, without being detected by legal
participants.


title: Large deviations of cascade processes on graphs

abstract:
  Simple models of irreversible dynamical processes such as Bootstrap
Percolation have been successfully applied to describe cascade processes in a
large variety of different contexts. However, the problem of analyzing
non-typical trajectories, which can be crucial for the understanding of the
out-of-equilibrium phenomena, is still considered to be intractable in most
cases. Here we introduce an efficient method to find and analyze optimized
trajectories of cascade processes. We show that for a wide class of
irreversible dynamical rules, this problem can be solved efficiently on
large-scale systems.


title:
On the Theory of Weak Turbulence for the Nonlinear Schr\"odinger
  Equation

abstract:
  We study the Cauchy problem for a kinetic equation arising in the weak
turbulence theory for the cubic nonlinear Schr\"odinger equation. We define
suitable concepts of weak and mild solutions and prove local and global well
posedness results. Several qualitative properties of the solutions, including
long time asymptotics, blow up results and condensation in finite time are
obtained. We also prove the existence of a family of solutions that exhibit
pulsating behavior.


title: Stochastically Perturbed Chains of Variable Memory

abstract:
  In this paper, we study inference for chains of variable order under two
distinct contamination regimes. Consider we have a chain of variable memory on
a finite alphabet containing zero. At each instant of time an independent coin
is flipped and if it turns head a contamination occurs. In the first regime a
zero is read independent of the value of the chain. In the second regime, the
value of another chain of variable memory is observed instead of the original
one. Our results state that the difference between the transition probabilities
of the original process and the corresponding ones of the contaminated process
may be bounded above uniformly. Moreover, if the contamination probability is
small enough, using a version of the Context algorithm we are able to recover
the context tree of the original process through a contaminated sample.


title:
Rare-event trajectory ensemble analysis reveals metastable dynamical
  phases in lattice proteins

abstract:
  We explore the dynamical large-deviations of a lattice heteropolymer model of
a protein by means of path sampling of trajectories. We uncover the existence
of non-equilibrium dynamical phase-transitions in ensembles of trajectories
between active and inactive dynamical phases, whose nature depends on
properties of the interaction potential. When the full heterogeneity of
interactions due to the amino-acid sequence is preserved, as in a fully
interacting model or in a heterogeneous version of the G\={o} model where only
native interactions are considered, the transition is between the equilibrium
native state and a highly native but kinetically trapped state. In contrast,
for the homogeneous G\={o} model, where there is a single native energy and the
sequence plays no role, the dynamical transition is a direct consequence of the
static bi-stability between unfolded and native states. In the heterogeneous
case the native-active and native-inactive states, despite their static
similarity, have widely varying dynamical properties, and the transition
between them occurs even in lattice proteins whose sequences are designed to
make them optimal folders.


title:
Nuclear effective charge factor originating from covariant density
  functional theory

abstract:
  Guiding by the relativistic local density approximation, we explore a
phenomenological formula for the coupling strength of Coulomb field to take
into account the Coulomb exchange term effectively in the relativistic Hartree
approximation. Its validity in finite nuclei is examined by comparing with the
exact treatment of the Coulomb exchange energies in the relativistic
Hartree-Fock-Bogoliubov approach. It is found that the exact Coulomb exchange
energies can be reproduced by employing the phenomenological formula with the
relative deviations less than 1% for semi-magic Ca, Ni, Sn, and Pb isotopes.
Furthermore, we check the applicability of the phenomenological formula for the
effective interactions in the relativistic Hartree approach by investigating
the binding energy differences of mirror nuclei.


title:
Reconstruction and Analysis of Cancer-specific Gene Regulatory Networks
  from Gene Expression Profiles

abstract:
  The main goal of Systems Biology research is to reconstruct biological
networks for its topological analysis so that reconstructed networks can be
used for the identification of various kinds of disease. The availability of
high-throughput data generated by microarray experiments fueled researchers to
use whole-genome gene expression profiles to understand cancer and to
reconstruct key cancer-specific gene regulatory network. Now, the researchers
are taking a keen interest in the development of algorithm for the
reconstruction of gene regulatory network from whole genome expression
profiles. In this study, a cancer-specific gene regulatory network (prostate
cancer) has been constructed using a simple and novel statistics based
approach. First, significant genes differentially expressing them self in the
disease condition has been identified using a two-stage filtering approach
t-test and fold-change measure. Next, regulatory relationships between the
identified genes has been computed using Pearson correlation coefficient. The
obtained results has been validated with the available databases and
literature. We obtained a cancer-specific regulatory network of 29 genes with a
total of 55 regulatory relations in which some of the genes has been identified
as hub genes that can act as drug target for the cancer diagnosis.


title: Three pseudoscalar meson production in $e^+ e^-$ annihilation

abstract:
  We study, at leading order in the large number of colours expansion and
within the Resonance Chiral Theory framework, the odd-intrinsic-parity $e^+ e^-
\rightarrow \pi^+ \pi^- (\pi^0, \eta)$ cross-sections in the energy regime
populated by hadron resonances, namely $3 \, m_{\pi} \lsim E \lsim 2 \,
\mbox{GeV}$. In addition we implement our results in the Monte Carlo generator
PHOKHARA 7.0 and we simulate hadron production through the radiative return
method.


title: Symmetry detection of auxetic behaviour in 2D frameworks

abstract:
  A symmetry-extended Maxwell treatment of the net mobility of periodic
bar-and-joint frameworks is used to derive a sufficient condition for auxetic
behaviour of a 2D material. The type of auxetic behaviour that can be detected
by symmetry has Poisson's ratio -1, with equal expansion/contraction in all
directions, and is here termed equiauxetic. A framework may have a
symmetry-detectable equiauxetic mechanism if it belongs to a plane group that
includes rotational axes of order n = 6, 4, or 3. If the reducible
representation for the net mobility contains mechanisms that preserve full
rotational symmetry (A modes), these are equiauxetic. In addition, for n = 6,
mechanisms that halve rotational symmetry (B modes) are also equiauxetic.


title:
A probabilistic framework for analysing the compositionality of
  conceptual combinations

abstract:
  Conceptual combination performs a fundamental role in creating the broad
range of compound phrases utilized in everyday language. This article provides
a novel probabilistic framework for assessing whether the semantics of
conceptual combinations are compositional, and so can be considered as a
function of the semantics of the constituent concepts, or not. While the
systematicity and productivity of language provide a strong argument in favor
of assuming compositionality, this very assumption is still regularly
questioned in both cognitive science and philosophy. Additionally, the
principle of semantic compositionality is underspecified, which means that
notions of both "strong" and "weak" compositionality appear in the literature.
Rather than adjudicating between different grades of compositionality, the
framework presented here contributes formal methods for determining a clear
dividing line between compositional and non-compositional semantics. In
addition, we suggest that the distinction between these is contextually
sensitive. Utilizing formal frameworks developed for analyzing composite
systems in quantum theory, we present two methods that allow the semantics of
conceptual combinations to be classified as "compositional" or
"non-compositional". Compositionality is first formalised by factorising the
joint probability distribution modeling the combination, where the terms in the
factorisation correspond to individual concepts. This leads to the necessary
and sufficient condition for the joint probability distribution to exist. A
failure to meet this condition implies that the underlying concepts cannot be
modeled in a single probability space when considering their combination, and
the combination is thus deemed "non-compositional". The formal analysis methods
are demonstrated by applying them to an empirical study of twenty-four
non-lexicalised conceptual combinations.


title:
Non-destructive and Rapid Evaluation of CVD Graphene by Dark Field
  Optical Microscopy

abstract:
  Non-destructive and rapid evaluation of graphene directly on the growth
substrate (Cu foils) by dark field (DF) optical microscopy is demonstrated.
Without any additional treatment, graphene on Cu foils with various coverages
can be quickly identified by DF imaging immediately after chemical vapor
deposition growth with contrast comparable to scanning electron microscopy. The
improved contrast of DF imaging compared to bright field optical imaging was
found to be due to Rayleigh scattering of light by the copper steps beneath
graphene. Indeed, graphene adlayers are readily distinguished, due to the
different height of copper steps beneath graphene regions of different
thickness.


title:
One-dimensional Compressible Navier-Stokes Equations with Temperature
  Dependent Transport Coefficients and Large Data

abstract:
  This paper is concerned with the global smooth non-vacuum solutions with
large data to the Cauchy problem of the one-dimensional compressible
Navier-Stokes equations with degenerate temperature dependent transport
coefficients which satisfy conditions from the consideration in kinetic theory.
A Nishida-Smoller type result is obtained.


title: Flooding edge or node weighted graphs

abstract:
  Reconstruction closings have all properties of a physical flooding of a
topographic surface. They are precious for simplifying gradient images or,
filling unwanted catchment basins, on which a subsequent watershed transform
extracts the targeted objects. Flooding a topographic surface may be modeled as
flooding a node weighted graph (TG), with unweighted edges, the node weights
representing the ground level. The progression of a flooding may also be
modeled on the region adjacency graph (RAG) of a topographic surface. On a RAG
each node represents a catchment basin and edges connect neighboring nodes. The
edges are weighted by the altitude of the pass point between both adjacent
regions. The graph is flooded from sources placed at the marker positions and
each node is assigned to the source by which it has been flooded. The level of
the flood is represented on the nodes on each type of graphs. The same flooding
may thus be modeled on a TG or on a RAG. We characterize all valid floodings on
both types of graphs, as they should verify the laws of hydrostatics. We then
show that each flooding of a node weighted graph also is a flooding of an edge
weighted graph with appropriate edge weights. The highest flooding under a
ceiling function may be interpreted as the shortest distance to the root for
the ultrametric flooding distance in an augmented graph. The ultrametric
distance between two nodes is the minimal altitude of a flooding for which both
nodes are flooded. This remark permits to flood edge or node weighted graphs by
using shortest path algorithms. It appears that the collection of all lakes of
a RAG has the structure of a dendrogram, on which the highest flooding under a
ceiling function may be rapidly found.


title: Tree Decomposition based Steiner Tree Computation over Large Graphs

abstract:
  In this paper, we present an exact algorithm for the Steiner tree problem.
The algorithm is based on certain pre-computed index structures. Our algorithm
offers a practical solution for the Steiner tree problems on graphs of large
size and bounded number of terminals.


title: Convergence issues in ChPT: a lattice perspective

abstract:
  This review addresses the practical convergence of the ChPT series in the
p-regime. In the SU(2) framework there is a number of new results, and improved
estimates of \bar\ell_3 and \bar\ell_4 are available. In the SU(3) framework
few new lattice computations have appeared and the improvement in the precision
of the low-energy constants L_i is comparatively slow. I sketch some of the
convergence issues genuine to extensions of ChPT which include additional
sources of chiral symmetry breaking (finite lattice spacing) and/or violations
of unitarity (different sea and valence quark masses). Finally, it is pointed
out that the quark mass ratios m_u/m_d, m_s/m_d happen to be such that no
reordering of the chiral series is needed to accommodate the experimental pion
and kaon masses.


title: Comment on higher derivative Lagrangians in relativistic theory

abstract:
  We discuss the consequences of higher derivative Lagrangians of the form
$\alpha_1 A_{\mu}(x)\dot{x}^\mu$, $\alpha_2 G_{\mu}(x)\ddot{x}^\mu$, $\alpha_3
B_{\mu}(x)\dddot{x}^\mu$, $\alpha_4 K_{\mu}(x)\ddddot{x}^\mu$, $\cdots$,
$U_{(n)\mu}(x)x^{(n)\mu}$ in relativistic theory. After establishing the
equations of the motion of particles in these fields, we introduce the concept
of the generalized induction principle assuming the coupling between the higher
fields $U_{(n),\mu}(x),\ n\geq1$ with the higher currents
$j^{(n)\mu}=\rho(x)x^{(n)\mu}$, where $\rho(x)$ is the spatial density of mass
or of electric charge. In addition, we discuss the analogy of the field
$G_\mu(x)$ with the gravitational field and its inclusion in the general
relativity framework in the last section. This letter is an invitation to
reflect on a generalisation of the concept of inertia and we also discuss this
problem in the last section.


title: An asymptotic approach to the adhesion of thin stiff films

abstract:
  In this paper, the asymptotic first order analysis, both mathematical and
numerical, of two structures bonded together is presented. Two cases are
considered, the gluing of an elastic structure with a rigid body and the gluing
of two elastic structures. The glue is supposed to be elastic and to have its
stiffness of the same order than those of the elastic structures. An original
numerical method is developed to solve the mechanical problem of stiff
interface at order 1, based on the Nitsche's method. Several numerical examples
are provided to show the efficiency of both the analytical approximation and
the numerical method.


title:
Doubly charged scalar decays in a type II seesaw scenario with two Higgs
  triplets

abstract:
  The type II seesaw mechanism for neutrino mass generation usually makes use
of one complex scalar triplet. The collider signature of the doubly-charged
scalar, the most striking feature of this scenario,consists mostly in decays
into same-sign dileptons or same-sign $W$ boson pairs. However, certain
scenarios of neutrino mass generation, such as those imposing texture zeros by
a symmetry mechanism, require at least two triplets in order to be consistent
with type-II the seesaw mechanism. We develop a model with two such complex
triplets and show that, in such a case, mixing between the triplets can cause
the heavier doubly-charged scalar mass eigenstate to decay into a
singly-charged scalar and a $W$ boson of the same sign. Considering a large
number of benchmark points with different orders of magnitude of the $\Delta L
=2$ Yukawa couplings, chosen in agreement with the observed neutrino mass and
mixing pattern, we demonstrate that $H^{++}_1 \rightarrow H^+_2 W^+$ can have
more than 99% branching fraction in the cases where the vacuum expectation
values of the triplets are small. The implications of this for the LHC are
pointed out.


title: Decoding by Sampling - Part II: Derandomization and Soft-output Decoding

abstract:
  In this paper, a derandomized algorithm for sampling decoding is proposed to
achieve near-optimal performance in lattice decoding. By setting a probability
threshold to sample candidates, the whole sampling procedure becomes
deterministic, which brings considerable performance improvement and complexity
reduction over to the randomized sampling. Moreover, the upper bound on the
sample size K, which corresponds to near-maximum likelihood (ML) performance,
is derived. We also find that the proposed algorithm can be used as an
efficient tool to implement soft-output decoding in multiple-input
multiple-output (MIMO) systems. An upper bound of the sphere radius R in list
sphere decoding (LSD) is derived. Based on it, we demonstrate that the
derandomized sampling algorithm is capable of achieving near-maximum a
posteriori (MAP) performance. Simulation results show that near-optimum
performance can be achieved by a moderate size K in both lattice decoding and
soft-output decoding.


title:
Equilibrium probability distribution of a conductive sphere's floating
  charge in a collisionless, drifting Maxwellian plasma

abstract:
  A dust grain in a plasma has a fluctuating electric charge, and past work
concludes that spherical grains in a stationary, collisionless plasma have an
essentially Gaussian charge probability distribution. This paper extends that
work to flowing plasmas and arbitrarily large spheres, deriving analytic charge
probability distributions up to normalizing constants. We find that these
distributions also have good Gaussian approximations, with analytic expressions
for their mean and variance.


title: Replication based storage systems with local repair

abstract:
  We consider the design of regenerating codes for distributed storage systems
that enjoy the property of local, exact and uncoded repair, i.e., (a) upon
failure, a node can be regenerated by simply downloading packets from the
surviving nodes and (b) the number of surviving nodes contacted is strictly
smaller than the number of nodes that need to be contacted for reconstructing
the stored file.
  Our codes consist of an outer MDS code and an inner fractional repetition
code that specifies the placement of the encoded symbols on the storage nodes.
For our class of codes, we identify the tradeoff between the local repair
property and the minimum distance. We present codes based on graphs of high
girth, affine resolvable designs and projective planes that meet the minimum
distance bound for specific choices of file sizes.


title: Gray codes and Enumerative Coding for vector spaces

abstract:
  Gray codes for vector spaces are considered in two graphs: the Grassmann
graph, and the projective-space graph, both of which have recently found
applications in network coding. For the Grassmann graph, constructions of
cyclic optimal codes are given for all parameters. As for the projective-space
graph, two constructions for specific parameters are provided, as well some
non-existence results.
  Furthermore, encoding and decoding algorithms are given for the Grassmannian
Gray code, which induce an enumerative-coding scheme. The computational
complexity of the algorithms is at least as low as known schemes, and for
certain parameter ranges, the new scheme outperforms previously-known ones.


title: CLIC e+e- Linear Collider Studies - Input to the Snowmass process 2013

abstract:
  This paper addresses the issues in question for Energy Frontier Lepton and
Gamma Colliders by the Frontier Capabilities group of the Snowmass 2013 process
and is structured accordingly. It will be accompanied by a paper describing the
Detector and Physics studies for the CLIC project currently in preparation for
submission to the Energy Frontier group.


title: Categories of Massless D-Branes and del Pezzo Surfaces

abstract:
  In analogy with the physical concept of a massless D-brane, we define a
notion of "Q-masslessness" for objects in the derived category. This is defined
in terms of monodromy around singularities in the stringy Kahler moduli space
and is relatively easy to study using spherical functors. We consider several
examples in which del Pezzo surfaces and other rational surfaces in Calabi-Yau
threefolds are contracted. For precisely the del Pezzo surfaces that can be
written as hypersurfaces in weighted P3, the category of Q-massless objects is
a "fractional Calabi-Yau" category of graded matrix factorizations.


title: Identifiable reparametrizations of linear compartment models

abstract:
  Identifiability concerns finding which unknown parameters of a model can be
quantified from given input-output data. Many linear ODE models, used in
systems biology and pharmacokinetics, are unidentifiable, which means that
parameters can take on an infinite number of values and yet yield the same
input-output data. We use commutative algebra and graph theory to study a
particular class of unidentifiable models and find conditions to obtain
identifiable scaling reparametrizations of these models. Our main result is
that the existence of an identifiable scaling reparametrization is equivalent
to the existence of a scaling reparametrization by monomial functions. We also
provide partial results beginning to classify graphs which possess an
identifiable scaling reparametrization.


title:
Long-range interactions between polar alkali-metal diatoms in external
  electric fields

abstract:
  We computed the long-range interactions between two identical polar bialkali
molecules in their rovibronic ground level, for all ten species involving Li,
Na, K, Rb and Cs, using accurate quantum chemistry results combined with
available spectroscopic data. Huge van der Waals interaction is found for eight
species in free space. The competition of the van der Waals interaction with
the dipole-dipole interaction induced by an external electric field parallel or
perpendicular to the intermolecular axis is investigated by varying the
electric field magnitude and the intermolecular distance. Our calculations
predict a regime with the mutual orientation of the two molecules but with no
preferential direction in the laboratory frame. A mechanism for the stimulated
one-photon radiative association of a pair of ultracold polar molecules into
ultracold tetramers is proposed, which would open the way towards the optical
manipulation of ultracold polyatomic molecules.


title:
The fundamental problem of treating light incoherence in photovoltaics
  and its practical consequences

abstract:
  The incoherence of sunlight has long been suspected to have an impact on
solar cell energy conversion efficiency, although the extent of this is
unclear. Existing computational methods used to optimize solar cell efficiency
under incoherent light are based on multiple time-consuming runs and
statistical averaging. These indirect methods show limitations related to the
complexity of the solar cell structure. As a consequence, complex corrugated
cells, which exploit light trapping for enhancing the efficiency, have not yet
been accessible for optimization under incoherent light. To overcome this
bottleneck, we developed an original direct method which has the key advantage
that the treatment of incoherence can be totally decoupled from the complexity
of the cell. As an illustration, surface corrugated GaAs and c-Si thin-films
are considered. The spectrally integrated absorption in these devices is found
to depend strongly on the degree of light coherence and, accordingly, the
maximum achievable photocurrent can be higher under incoherent light than under
coherent light. These results show the importance of taking into account
sunlight incoherence in solar cell optimization and point out the ability of
our direct method in dealing with complex solar cells structures.