title:
KLR algebras and the branching rule I: the categorical Gelfand-Tsetlin
  basis in type An

abstract:
  We define a quotient of the category of finitely generated modules over the
cyclotomic Khovanov-Lauda-Rouquier algebra for type An and show it has a module
category structure over a direct sum of certain cyclotomic
Khovanov-Lauda-Rouquier algebras of type An-1, this way categorifying the
branching rules for the inclusion of sl(n) in sl(n+1). Using this we give a
new, elementary proof of Khovanov-Lauda cyclotomic conjecture. We show that
continuing recursively gives the Gelfand-Tsetlin basis for type An. As an
application we prove a conjecture of Mackaay, Stosic and Vaz concerning
categorical Weyl modules.


title: Anisotropic deformation of Rydberg blockade sphere in few-atom systems

abstract:
  Rydberg blockade sphere persists an intriguing picture by which a number of
collective many-body effects caused by the strong Rydberg-Rydberg interactions
can be clearly understood and profoundly investigated. In the present work, we
develop a new definition for the effective two-atom blockade radius and show
that the original spherically shaped blockade surface would be deformed when
the real number of atoms increases from two to three. This deformation of
blockade sphere reveals spatially anisotropic and shrunken properties which
strongly depend on the interatomic distance. In addition, we also study the
optimal conditions for the Rydberg antiblockade effect and make predictions for
improving the antiblockade efficiency in few-atom systems.


title: On transverse hyperplanes to self-similar Jordan arcs

abstract:
  We consider self-similar Jordan arcs $\gamma$ in $R^d$, different from a line
segment and show that they cannot be projected to a line bijectively. Moreover,
we show that the set of points $x\in\gamma$, for which there is a hyperplane,
intersecting $\gamma$ at the point x only, is nowhere dense in $\gamma$. .


title: Notes on Evanescent Wave Bragg-Reflection Waveguides

abstract:
  We investigate an extended version of the Bragg reflection waveguide (BRW)
with air gaps as one of the layers. This design has the potential of
drastically simplifying the epitaxial structure for integrated nonlinear
optical elements at the expense of more complicated structuring. This approach
would afford much more flexibility for designing and varying BRW structures.
Here, we discuss an extension of the established theory for BRW slabs and
report our results of applying Marcatili's method for rectangular waveguides to
the BRW case. With this analytic approach we can estimate the effective index
of the modes orders of magnitudes faster than with full numerical techniques
such as finite-difference time-domain (FDTD) or finite elements. Initial
results are mixed; while phase-matched designs have been found, they currently
have no significant advantage over other schemes.


title: Use of Auxiliary Information in Variance Estimation

abstract:
  This paper proposes a class of ratio type estimators of finite population
variance, when the population variance of an auxiliary character is known.
Asymptotic expression for mean square error (MSE) is derived and compared with
the mean square errors of some existing estimators. An empirical study is
carried out to illustrate the performance of the constructed estimator over
others.


title: Chiral Pinwheel Heterojunctions Self Assembled from C60 and Pentacene

abstract:
  We demonstrate the self-assembly of C$_{60}$ and pentacene (Pn) molecules
into acceptor-donor heterostructures which are well-ordered and -- despite the
high degree of symmetry of the constituent molecules -- {\it chiral}. Pn was
deposited on Cu(111) to monolayer coverage, producing the random-tiling ($R$)
phase as previously described. Atop $R$-phase Pn, post-deposited C$_{60}$
molecules cause rearrangement of the Pn molecules into domains based on chiral
supramolecular `pinwheels'. These two molecules are the highest-symmetry
achiral molecules so far observed to coalesce into chiral heterostructures.
Also, the chiral pinwheels (composed of 1 C$_{60}$ and 6 Pn each) may share Pn
molecules in different ways to produce structures with different lattice
parameters and degree of chirality. High-resolution scanning tunneling
microscopy (STM) results and knowledge of adsorption sites allow the
determination of these structures to a high degree of confidence. The
measurement of chiral angles identical to those predicted is a further
demonstration of the accuracy of the models. Van der Waals density functional
theory calculations reveal that the Pn molecules around each C$_{60}$ are
torsionally flexed around their long molecular axes and that there is charge
transfer from C$_{60}$ to Pn in each pinwheel.


title: Innovation and Nested Preferential Growth in Chess Playing Behavior

abstract:
  Complexity develops via the incorporation of innovative properties. Chess is
one of the most complex strategy games, where expert contenders exercise
decision making by imitating old games or introducing innovations. In this
work, we study innovation in chess by analyzing how different move sequences
are played at the population level. It is found that the probability of
exploring a new or innovative move decreases as a power law with the frequency
of the preceding move sequence. Chess players also exploit already known move
sequences according to their frequencies, following a preferential growth
mechanism. Furthermore, innovation in chess exhibits Heaps' law suggesting
similarities with the process of vocabulary growth. We propose a robust
generative mechanism based on nested Yule-Simon preferential growth processes
that reproduces the empirical observations. These results, supporting the
self-similar nature of innovations in chess are important in the context of
decision making in a competitive scenario, and extend the scope of relevant
findings recently discovered regarding the emergence of Zipf's law in chess.


title: Scalable Probabilistic Entity-Topic Modeling

abstract:
  We present an LDA approach to entity disambiguation. Each topic is associated
with a Wikipedia article and topics generate either content words or entity
mentions. Training such models is challenging because of the topic and
vocabulary size, both in the millions. We tackle these problems using a novel
distributed inference and representation framework based on a parallel Gibbs
sampler guided by the Wikipedia link graph, and pipelines of MapReduce allowing
fast and memory-frugal processing of large datasets. We report state-of-the-art
performance on a public dataset.


title:
Non-classicality of optomechanical devices in experimentally realistic
  operating regimes

abstract:
  Enforcing a non-classical behavior in mesoscopic systems is important for the
study of the boundaries between quantum and classical world. Recent experiments
have shown that optomechanical devices are promising candidates to pursue such
investigations. Here we consider two different setups where the indirect
coupling between a three-level atom and the movable mirrors of a cavity is
achieved. The resulting dynamics is able to conditionally prepare a
non-classical state of the mirrors by means of projective measurements operated
over a pure state of the atomic system. The non-classical features are
persistent against incoherent thermal preparation of the mechanical systems and
their dissipative dynamics.


title: Infinite probability computation by cyclic explanation graphs

abstract:
  Tabling in logic programming has been used to eliminate redundant computation
and also to stop infinite loop. In this paper we investigate another
possibility of tabling, i.e. to compute an infinite sum of probabilities for
probabilistic logic programs. Using PRISM, a logic-based probabilistic modeling
language with a tabling mechanism, we generalize prefix probability computation
for probabilistic context free grammars (PCFGs) to probabilistic logic
programs. Given a top-goal, we search for all proofs with tabling and obtain an
explanation graph which compresses them and may be cyclic. We then convert the
explanation graph to a set of linear probability equations and solve them by
matrix operation. The solution gives us the probability of the top-goal, which,
in nature, is an infinite sum of probabilities. Our general approach to prefix
probability computation through tabling not only allows to deal with non-PCFGs
such as probabilistic left-corner grammars (PLCGs) but has applications such as
plan recognition and probabilistic model checking and makes it possible to
compute probability for probabilistic models describing cyclic relations. To
appear in Theory and Practice of Logic Programming (TPLP).


title:
About Hrushovski and Loeser's work on the homotopy type of Berkovich
  spaces

abstract:
  Those are the notes of the two talks I gave in april 2013 in St-John (US
Virgin Islands) during the Simons Symposium on non-Archimedean and tropical
geometry. They essentially consist of a survey of Hrushovski and Loeser's work
on the homotopy type of Berkovich spaces; the last section explains how the
author has used their work for studying pre-image of skeleta.


title: Status report of the CERN microwave axion experiment

abstract:
  "Light Shining Through the Wall" experiments can probe the existence of
"axion like particles" through their weak coupling to photons. We have adapted
such an experiment to the microwave regime and constructed the table top
apparatus. This work presents an overview of the experimental setup and then
focuses on our latest measurement run and its results. By operating the
apparatus within a superconducting MRI magnet, competitive exclusion limits for
axion like particles to the first generation optical light shining through the
wall experiments have been achieved.


title: On the torsion of the first direct image of a locally free sheaf

abstract:
  Let $\pi:M\to B$ be a proper holomorphic submersion between complex manifolds
and ${\cal E}$ a holomorphic bundle on $M$. We study and describe explicitly
the torsion subsheaf $\mathrm{Tors}(R^1\pi_*({\cal E}))$ of the first direct
image $R^1\pi_*(\mathcal{E})$ under the assumption $R^0\pi_*(\mathcal{E})=0$.
We give two applications of our results. The first concerns the locus of points
in the base of a generically versal family of complex surfaces where the family
is non-versal. The second application is a vanishing result for
$H^0(\mathrm{Tors}(R^1\pi_*(\mathcal{E})))$ in a concrete situation related to
our program to prove the existence of curves on class VII surfaces.


title:
Photometric Effects and Voronoi-diagrams as a mixed model for the
  spatial distribution of galaxies

abstract:
  We review the model of the Voronoi Diagrams which allows to reproduce the
large-scale structures of our universe as given by the astronomical catalogs.
The observed number of galaxies in a given solid angle with a chosen
flux/magnitude versus the redshift presents a maximum that is a function of the
flux/magnitude ; it can be explained by a detailed analysis of the standard
luminosity function for galaxies as well by two new luminosity function for
galaxies. The current status of the research on the statistics of the Voronoi
Diagrams is reviewed.


title:
A Strained Organic Field-Effect-Transistor with a Gate-Tunable
  Superconducting Channel

abstract:
  In state-of-the-art silicon devices, mobility of the carrier is enhanced by
the lattice strain from the back substrate. Such an extra control of device
performance is significant in realizing high performance computing and should
be valid for electric-field-induced superconducting devices, too. However, so
far, the carrier density is the sole parameter for field-induced
superconducting interfaces. Here we show an active organic superconducting
field-effect-transistor whose lattice is modulated by the strain from the
substrate. The soft organic lattice allows tuning of the strain by a choice of
the back substrate to make an induced superconducting state accessible at low
temperature with a paraelectric solid gate. An active three terminal Josephson
junction device thus realized is useful both in advanced computing and in
elucidating a direct connection between filling-controlled and
bandwidth-controlled superconducting phases in correlated materials.


title: Ergodic theorems for polynomials in nilpotent groups

abstract:
  The principal results proved in this expository thesis are the IP polynomial
Szemer\'edi theorem for nilpotent groups and the multiple term return times
theorem with nilsequence weights. It also contains extensions of the
convergence theorem for nilpotent polynomial multiple ergodic averages and the
return times theorem to locally compact second countable amenable groups.


title:
On the performance of a cavity method based algorithm for the
  Prize-Collecting Steiner Tree Problem on graphs

abstract:
  We study the behavior of an algorithm derived from the cavity method for the
Prize-Collecting Steiner Tree (PCST) problem on graphs. The algorithm is based
on the zero temperature limit of the cavity equations and as such is formally
simple (a fixed point equation resolved by iteration) and distributed
(parallelizable). We provide a detailed comparison with state-of-the-art
algorithms on a wide range of existing benchmarks networks and random graphs.
Specifically, we consider an enhanced derivative of the Goemans-Williamson
heuristics and the DHEA solver, a Branch and Cut Linear/Integer Programming
based approach. The comparison shows that the cavity algorithm outperforms the
two algorithms in most large instances both in running time and quality of the
solution. Finally we prove a few optimality properties of the solutions
provided by our algorithm, including optimality under the two post-processing
procedures defined in the Goemans-Williamson derivative and global optimality
in some limit cases.


title: Relativistic effects on the Richtmyer-Meshkov instability

abstract:
  Theoretical and numerical analysis of the relativistic effects on the
Richtmyer-Meshkov (RM) instability reveals new and potentially very useful
effects. We find that, in contrast with the non- relativistic case, the growth
rate of the RM instability depends strongly on the equation of state of the
fluid, opening up the possibility to infer equations of state from experimental
observations of the RM instability. As opposed to the non-relativistic case, we
also discover that, above a critical value of the fluid velocity, the growth
rate of the instability counter-intuitively decreases due to the Lorentz's
factor, and vanishes in the ultrarelativistic limit, as the speed of the
particles approaches the speed of light. Both effects might prove very useful
for leading-edge applications, such as the study of the equation of state of
quark-gluon matter, and the design of fast ignition inertial confinement fusion
(ICF) schemes. We perform a linear stability analysis to characterize the
instability, for an arbitrary equation of state, and implement numerical
simulations to study the instability in the non-linear regime, using the
equation of state of an ideal gas. Furthermore, based on the numerical results,
we propose a general expression that characterizes the long term evolution of
the instability.


title:
Development Towards Sustainability: How to judge past and proposed
  policies?

abstract:
  The scientific data about the state of our planet, presented at the 2012
(Rio+20) summit, documented that today's human family lives even less
sustainably than it did in 1992. The data indicate furthermore that the
environmental impacts from our current economic activities are so large, that
we are approaching situations where potentially controllable regional problems
can easily lead to uncontrollable global disasters.
  Assuming that (1) the majority of the human family, once adequately informed,
wants to achieve a "sustainable way of life" and (2) that the "development
towards sustainability" roadmap will be based on scientific principles, one
must begin with unambiguous and quantifiable definitions of these goals. As
will be demonstrated, the well known scientific method to define abstract and
complex issues by their negation, satisfies these requirements. Following this
new approach, it also becomes possible to decide if proposed and actual
policies changes will make our way of life less unsustainable, and thus move us
potentially into the direction of sustainability. Furthermore, if potentially
dangerous tipping points are to be avoided, the transition roadmap must include
some minimal speed requirements. Combining the negation method and the time
evolution of that remaining natural capital in different domains, the
transition speed for a "development towards sustainability" can be quantified
at local, regional and global scales.
  The presented ideas allow us to measure the rate of natural capital depletion
and the rate of restoration that will be required if humanity is to avoid
reaching a sustainable future by a collapse transition.


title:
High-order harmonic generation driven by metal nanotip photoemission:
  theory and simulations

abstract:
  We present theoretical predictions of high-order harmonic generation (HHG)
resulting from the interaction of short femtosecond laser pulses with metal
nanotips. It has been demonstrated that high energy electrons can be generated
using nanotips as sources; furthermore the recollision mechanism has been
proven to be the physical mechanism behind this photoemission. If recollision
exists, it should be possible to convert the laser-gained energy by the
electron in the continuum in a high energy photon. Consequently the emission of
harmonic radiation appears to be viable, although it has not been
experimentally demonstrated hitherto. We employ a quantum mechanical time
dependent approach to model the electron dipole moment including both the laser
experimental conditions and the bulk matter properties. The use of metal tips
shall pave a new way of generating coherent XUV light with a femtosecond laser
field.


title:
A variation formula for the determinant line bundle. Compact subspaces
  of moduli spaces of stable bundles over class VII surfaces

abstract:
  This article deals with two topics: the first, which has a general character,
is a variation formula for the the determinant line bundle in non-K\"ahlerian
geometry. This formula, which is a consequence of the non-K\"ahlerian version
of the Grothendieck-Riemann Roch theorem proved recently by Bismut, gives the
variation of the determinant line bundle corresponding to a perturbation of a
Fourier-Mukai kernel ${\cal E}$ on a product $B\times X$ by a unitary flat line
bundle on the fiber $X$. When this fiber is a complex surface and ${\cal E}$ is
a holomorphic 2-bundle, the result can be interpreted as a Donaldson invariant.
  The second topic concerns a geometric application of our variation formula,
namely we will study compact complex subspaces of the moduli spaces of stable
bundles considered in our program for proving existence of curves on minimal
class VII surfaces. Such a moduli space comes with a distinguished point
$a=[{\cal A}]$ corresponding to the canonical extension ${\cal A}$ of $X$. The
compact subspaces $Y\subset {\cal M}^\st$ containing this distinguished point
play an important role in our program. We will prove a non-existence result:
there exists no compact complex subspace of positive dimension $Y\subset {\cal
M}^\st$ containing $a$ with an open neighborhood $a\in Y_a\subset Y$ such that
$Y_a\setminus\{a\}$ consists only of non-filtrable bundles. In other words,
within any compact complex subspace of positive dimension $Y\subset {\cal
M}^\st$ containing $a$, the point $a$ can be approached by filtrable bundles.
Specializing to the case $b_2=2$ we obtain a new way to complete the proof of a
theorem in a previous article: any minimal class VII surface with $b_2=2$ has a
cycle of curves. Applications to class VII surfaces with higher $b_2$ will be
be discussed in a forthcoming article.


title: Spectroscopy and Thermodynamics of MSW Black Hole

abstract:
  We study the thermodynamics and spectroscopy of a 2+1 dimensional black hole
pro- posed by Mandal et. al1 . We put the background space time in Kruskal like
co-ordinate and find period with respect to Euclidean time. Different
thermodynamic quantities like entropy, specific heat, temperature etc are
obtained. The adiabatic invariant for the black hole is found out and quantized
using Bohr-Sommerfeld quantization rule. The study shows that the area spectrum
of MSW black hole is equally spaced and the value of spacing is found to be h
bar


title: Cosmological perturbations in teleparallel Loop Quantum Cosmology

abstract:
  Cosmological perturbations in Loop Quantum Cosmology (LQC) are usually
studied incorporating either holonomy corrections, where the Ashtekar
connection is replaced by a suitable sinus function in order to have a
well-defined quantum analogue, or inverse-volume corrections coming from the
eigenvalues of the inverse-volume operator.
  In this paper we will develop an alternative approach to calculate
cosmological perturbations in LQC based on the fact that, holonomy corrected
LQC in the flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) geometry could be
also obtained as a particular case of teleparallel $F(T)$ gravity (teleparallel
LQC). The main idea of our approach is to mix the simple bounce provided by
holonomy corrections in LQC with the non-singular perturbation equations given
by $F(T)$ gravity, in order to obtain a matter bounce scenario as a viable
alternative to slow-roll inflation.
  In our study, we have obtained an scale invariant power spectrum of
cosmological perturbations. However, the ratio of tensor to scalar
perturbations is of order $1$, which does not agree with the current
observations. For this reason, we suggest a model where a transition from the
matter domination to a quasi de Sitter phase is produced in order to enhance
the scalar power spectrum.


title:
Correspondance de Jacquet-Langlands et distinction : cas des
  representations cuspidales de niveau 0

abstract:
  Let K/F be a tamely ramified quadratic extension of non-archimedean locally
compact fields. Let GL_m (D) be an inner form of GL_n (F) and GLp(R) = (M_m (D)
\otimes K)^{\times} . Then GLp(R) is an inner form of GL_n (K). In this work,
we determine conditions of GL_m (D)-distinction for level zero cuspidal
representations of GL_p (R) which are the image of a level zero cuspidal
representation by the Jacquet-Langlands correspondence, and we also prove that
a level zero cuspidal representation of GL_n (K) is GL_n (F) distinguished if
and only if its image by the Jacquet-Langlands correspondance is GL_m
(D)-distinguished.


title:
Earthshine observations at high spectral resolution: Exploring and
  detecting metal lines in the Earth's upper atmosphere

abstract:
  Observations of the Earth as a planet using the earthshine technique (i.e.
looking at the light reflected from the darkside of the Moon), have been used
for climate and astrobiology studies. They provide information about the
planetary albedo, a fundamental parameter of the Earth's energy balance. Here
we present for the first time, observations of the earthshine taken at high
spectral resolution. The high spectral resolution was chosen in order to
investigate the possibility of detecting metallic layers in the Earth's
atmosphere of geological or meteoritic origin. The SARG echelle spectrograph at
the Telescopio Nazionale Galileo in La Palma was used to acquire the earthshine
data. Observations were carried out on several nights in February 2011, with
the spectral resolution set at 29,000, covering a spectral range from the
near-ultraviolet (360 nm) to near-infrared (1011.9 nm). While we find evidence
for the detection of a Na layer in the earthshine, other atomic species are not
detected, perhaps due to the low signal-to-noise ratio of the observations and
the difficult telluric corrections. The Na layer is found to vary between
observation dates, which we speculate is due to physical variations in
mesospheric Na concentrations.


title: Electroweak phase transition in the reduced minimal 3-3-1 model

abstract:
  The electroweak phase transition is considered in framework of the reduced
minimal 3-3-1 model (RM331). Structure of phase transition in this model is
divided into two periods. The first period is the phase transition SU(3) --->
SU(2) at TeV scale and the second one is SU(2)--> U(1), which is the
like-Standard Model electroweak phase transition. When mass of the neutral
Higgs boson (h_1) is taken to be equal to the LHC value: m_{h_1}=125 GeV, then
these phase transitions are the first order phase transitions, the mass of Z_2
is about 4.8 TeV; and we find the region of parameter space with the first
order phase transition at v_{\rho_0}=246 GeV scale, leading to an effective
potential, where mass of the charged Higgs boson is in range of 4.154 TeV <
m_{h_{++}} < 5.946 TeV. Therefore, with this approach, new bosons are the
triggers of the first order electroweak phase transition with significant
implications for the viability of electroweak baryogenesis scenarios.


title: Density anomalies and high-order jamming crossovers

abstract:
  Jamming crossovers occur at zero temperature in assemblies of particles
interacting via finite range repulsive potentials, when on increasing the
density particles make contacts with those of subsequent coordination shells.
Density anomalies, including an increased diffusivity upon isothermal
compression and a negative thermal expansion coefficient, are the finite
temperature signatures of the jamming crossovers. In this manuscript we show
that the jamming crossovers are correlated to an increase of the non affine
response of the system to density changes, and clarify that jammed systems
evolve upon compression through subsequent Eshlby-like plastic instabilities.


title: Hyperk\"ahler Manifolds of Curves in Twistor Spaces

abstract:
  We discuss hypercomplex and hyperk\"ahler structures obtained from higher
degree curves in complex spaces fibring over ${\mathbb{P}}^1$.


title: Evolution of faint radio sources in the VIDEO-XMM3 field

abstract:
  It has been speculated that low luminosity radio-loud AGN have the potential
to serve as an important source of AGN feedback, and may be responsible for
suppressing star-formation activity in massive elliptical galaxies at late
times. As such the cosmic evolution of these sources is vitally important to
understanding the significance of such AGN feedback processes and their
influence on the global star-formation history of the universe. In this paper
we present a new investigation of the evolution of faint radio sources out to
$z{\sim}2.5$. We combine a 1 square degree VLA radio survey, complete to a
depth of 100 $\mu$Jy, with accurate 10 band photometric redshifts from the
VIDEO and CFHTLS surveys. The results indicate that the radio population
experiences mild positive evolution out to $z{\sim}1.2$ increasing their space
density by a factor of $\sim$3, consistent with results of several previous
studies. Beyond $z$=1.2 there is evidence of a slowing down of this evolution.
Star-forming galaxies drive the more rapid evolution at low redshifts,
$z{<}$1.2, while more slowly evolving AGN populations dominate at higher
redshifts resulting in a decline in the evolution of the radio luminosity
function at $z{>}$1.2. The evolution is best fit by pure luminosity evolution
with star-forming galaxies evolving as $(1+z)^{2.47\pm0.12}$ and AGN as
$(1+z)^{1.18\pm0.21}$.


title:
Correlation effects and spin dependent transport in carbon
  nanostructures

abstract:
  The impact of symmetry breaking perturbations on the spin dependent transport
through carbon nanotube quantum dots in the Kondo regime is discussed.


title: On Weak Tractability of the Clenshaw-Curtis Smolyak Algorithm

abstract:
  We consider the problem of integration of d-variate analytic functions
defined on the unit cube with directional derivatives of all orders bounded by
1. We prove that the Clenshaw Curtis Smolyak algorithm leads to weak
tractability of the problem. This seems to be the first positive tractability
result for the Smolyak algorithm for a normalized and unweighted problem. The
space of integrands is not a tensor product space and therefore we have to
develop a different proof technique. We use the polynomial exactness of the
algorithm as well as an explicit bound on the operator norm of the algorithm.


title: Girard's $!()$ as a reversible fixed-point operator

abstract:
  We give a categorical description of the treatment of the !() exponential in
the Geometry of Interaction system, with particular emphasis on the fact that
the GoI interpretation 'forgets types'. We demonstrate that it may be thought
of as a fixed-point operation for reversible logic & computation.


title:
Continuous-Time Portfolio Optimisation for a Behavioural Investor with
  Bounded Utility on Gains

abstract:
  This paper examines an optimal investment problem in a continuous-time
(essentially) complete financial market with a finite horizon. We deal with an
investor who behaves consistently with principles of Cumulative Prospect
Theory, and whose utility function on gains is bounded above. The
well-posedness of the optimisation problem is trivial, and a necessary
condition for the existence of an optimal trading strategy is derived. This
condition requires that the investor's probability distortion function on
losses does not tend to 0 near 0 faster than a given rate, which is determined
by the utility function. Under additional assumptions, we show that this
condition is indeed the borderline for attainability, in the sense that for
slower convergence of the distortion function there does exist an optimal
portfolio.


title: Sigma Point Belief Propagation

abstract:
  The sigma point (SP) filter, also known as unscented Kalman filter, is an
attractive alternative to the extended Kalman filter and the particle filter.
Here, we extend the SP filter to nonsequential Bayesian inference corresponding
to loopy factor graphs. We propose sigma point belief propagation (SPBP) as a
low-complexity approximation of the belief propagation (BP) message passing
scheme. SPBP achieves approximate marginalizations of posterior distributions
corresponding to (generally) loopy factor graphs. It is well suited for
decentralized inference because of its low communication requirements. For a
decentralized, dynamic sensor localization problem, we demonstrate that SPBP
can outperform nonparametric (particle-based) BP while requiring significantly
less computations and communications.


title:
Throughput Optimal Flow Allocation on Multiple Paths for Random Access
  Wireless Multi-hop Networks

abstract:
  In this paper we consider random access wireless multi-hop mesh networks with
multi-packet reception capabilities where multiple flows are forwarded to the
gateways through node disjoint paths. We address the issue of aggregate
throughput-optimal flow rate allocation with bounded delay guarantees. We
propose a distributed flow rate allocation scheme that formulates flow rate
allocation as an optimization problem and derive the conditions for
non-convexity for an illustrative topology. We also employ a simple model for
the average aggregate throughput achieved by all flows that captures both
intra- and inter-path interference. The proposed scheme is evaluated through
NS-2 simulations. Our preliminary results are derived from a grid topology and
show that the proposed flow allocation scheme slightly underestimates the
average aggregate throughput observed in two simulated scenarios with two and
three flows respectively. Moreover it achieves significantly higher average
aggregate throughput than single path utilization in two different traffic
scenarios examined.


title:
Guaranteed Cost Tracking for Uncertain Coupled Multi-agent Systems Using
  Consensus over a Directed Graph

abstract:
  This paper considers the leader-follower control problem for a linear
multi-agent system with directed communication topology and linear nonidentical
uncertain coupling subject to integral quadratic constraints (IQCs). A
consensus-type control protocol is proposed based on each agent's states
relative to its neighbors and leader's state relative to agents which observe
the leader. A sufficient condition is obtained by overbounding the cost
function. Based on this sufficient condition, a computational algorithm is
introduced to minimize the proposed guaranteed bound on tracking performance,
which yields a suboptimal bound on the system consensus control and tracking
performance. The effectiveness of the proposed method is demonstrated using a
simulation example.


title: Proposal for a local heating driven spin current generator

abstract:
  We propose a two-terminal spin-orbit interferometer with a hot molecule
inserted in one of its arms to generate pure spin currents. Local heating is
achieved by coupling the vibrational modes of the molecule to a third
(phononic) reservoir. We show that this spin calorimetric effect is due to the
combined influence of spin-dependent wave interference and inelastic
scattering. Remarkably, the device converts heat flow into spin-polarized
current even without applying any voltage or temperature difference to the
electronic terminals.


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

abstract:
  We study when a local triple derivation on a real JB*-triple is a triple
derivation. We find an example of a (real linear) local triple derivation on a
rank-one Cartan factor of type I which is not a triple derivation. On the other
hand, we find sufficient conditions on a real JB*-triple E to guarantee that
every local triple derivation on E is a triple derivation.


title:
The explosion of supernova 2011fe in the frame of the core-degenerate
  scenario

abstract:
  We argue that the properties of the Type Ia supernova (SN Ia) SN 2011fe can
be best explained within the frame of the core-degenerate (CD) scenario. In the
CD scenario a white dwarf (WD) merges with the core of an asymptotic giant
branch (AGB) star and forms a rapidly rotating WD, with a mass close to and
above the critical mass for explosion. Rapid rotation prevents immediate
collapse and/or explosion. Spinning down over a time of 0-10 Gyr brings the WD
to explosion. A very long delayed explosion to post-crystallization phase,
which lasts for about 2 Gyr leads to the formation of a highly carbon-enriched
outer layer. This can account for the carbon-rich composition of the
fastest-moving ejecta of SN 2011fe. In reaching the conclusion that the CD
scenario best explains the observed properties of SN 2011fe we consider both
its specific properties, like a very compact exploding object and carbon rich
composition of the fastest-moving ejecta, and the general properties of SNe Ia.


title: Case study: Class diagram restructuring

abstract:
  This case study is an update-in-place refactoring transformation on UML class
diagrams. Its aim is to remove clones of attributes from a class diagram, and
to identify new classes which abstract groups of classes that share common data
features.
  It is used as one of a general collection of transformations (such as the
removal of redundant inheritance, or multiple inheritance) which aim to improve
the quality of a specification or design level class diagram.
  The transformation is a typical example of a model refactoring, and
illustrates the issues involved in such transformations.


title: Spectroscopy of {\epsilon} Aurigae during the 2009-2011 eclipse

abstract:
  The results of the spectral observations of a unique eclipsing system
{\epsilon} Aurigae obtained during the recent eclipse are presented. We traced
the spectral lines variations at different eclipse phases. The part of these
changes is the result of the absorption of stellar radiation by the gas
component of circumstellar (CS) disk around the secondary. The other part
arises due to the obscuration of the stellar photosphere and the closest
circumstellar area by the dusty CS disk. Comparison of our results with the
previous one, obtained by Lambert & Sawyer during the 1982-1984 eclipse,
indicates the good agreement, and argues in favor of stability of the secondary
disk structure. On the base of the new observational data we provide a new mass
estimation of the system components.


title: Laboratory and Astronomical Discovery of HydroMagnesium Isocyanide

abstract:
  We report on the detection of hydromagnesium isocyanide, HMgNC, in the
laboratory and in the carbon rich evolved star IRC+10216. The J=1-0 and J=2-1
lines were observed in our microwave laboratory equipment in Valladolid with a
spectral accuracy of 3\,KHz. The hyperfine structure produced by the Nitrogen
atom was resolved for both transitions. The derived rotational constants from
the laboratory data are $B_0$=5481.4333(6)\,MHz, $D_0$=2.90(8)\,KHz, and
$eQq(N)$=-2.200(2)\,MHz.
  The predicted frequencies for the rotational transitions of HMgNC in the
millimeter domain have an accuracy of 0.2-0.7\,MHz. Four rotational lines of
this species, J=8-7, J=10-9, J=12-11 and J=13-12, have been detected towards
IRC+10216. The differences between observed and calculated frequencies are
$<$0.5\,MHz. The rotational constants derived from space frequencies are
$B_0$=5481.49(3)\,MHz and $D_0$=3.2(1)\,KHz, i.e., identical to the laboratory
ones. A merged fit to the laboratory and space frequencies provides
$B_0$=5481.4336(4)\,MHz and $D_0$=2.94(5)\,KHz.
  We have derived a column density for HMgNC of
(6$\pm$2)$\times10^{11}$\,cm$^{-2}$. From the observed line profiles the
molecule have to be produced produced in the layer where other
metal-isocyanides have been already found in this source. The abundance ratio
between MgNC and its hydrogenated variety, HMgNC, is $\simeq$20.


title: Luminosity Spectrum Reconstruction at Linear Colliders

abstract:
  A good knowledge of the luminosity spectrum is mandatory for many
measurements at future e+e- colliders. As the beam-parameters determining the
luminosity spectrum cannot be measured precisely, the luminosity spectrum has
to be measured through a gauge process with the detector. The measured
distributions, used to reconstruct the spectrum, depend on Initial State
Radiation, cross-section, and Final State Radiation. To extract the basic
luminosity spectrum, a parametric model of the luminosity spectrum is created,
in this case the spectrum at the 3 TeV Compact Linear Collider (CLIC). The
model is used within a reweighting technique to extract the luminosity spectrum
from measured Bhabha event observables, taking all relevant effects into
account. The centre-of-mass energy spectrum is reconstructed within 5% over the
full validity range of the model. The reconstructed spectrum does not result in
a significant bias or systematic uncertainty in the exemplary physics benchmark
process of smuon pair production.


title: ENFrame: A Platform for Processing Probabilistic Data

abstract:
  This paper introduces ENFrame, a unified data processing platform for
querying and mining probabilistic data. Using ENFrame, users can write programs
in a fragment of Python with constructs such as bounded-range loops, list
comprehension, aggregate operations on lists, and calls to external database
engines. The program is then interpreted probabilistically by ENFrame.
  The realisation of ENFrame required novel contributions along several
directions. We propose an event language that is expressive enough to
succinctly encode arbitrary correlations, trace the computation of user
programs, and allow for computation of discrete probability distributions of
program variables. We exemplify ENFrame on three clustering algorithms:
k-means, k-medoids, and Markov Clustering. We introduce sequential and
distributed algorithms for computing the probability of interconnected events
exactly or approximately with error guarantees. Experiments with k-medoids
clustering of sensor readings from energy networks show orders-of-magnitude
improvements of exact clustering using ENFrame over na\"ive clustering in each
possible world, of approximate over exact, and of distributed over sequential
algorithms.


title: RG Invariant Higgs Pole Mass from the $O(\hbar)$ Expansion

abstract:
  We obtain the one-loop pole mass of the standard model Higgs which is
invariant under the beta functions of the MS\ scheme by following the procedure
in which the classical action in the broken symmetry phase was obtaind by
adding the $O(\hbar)$ expansion of the vacuum expection value determined from
the effective potential of the unbroken phase to the Higgs field $H$.


title: Modelling the Kinked Jet of the Crab Nebula

abstract:
  We investigate the dynamical propagation of the South-East jet from the Crab
pulsar interacting with supernova ejecta by means of three-dimensional
relativistic MHD numerical simulations with the PLUTO code.
  The initial jet structure is set up from the inner regions of the Crab
Nebula.
  We study the evolution of hot, relativistic hollow outflows initially
carrying a purely azimuthal magnetic field.
  Our jet models are characterized by different choices of the outflow
magnetization ($\sigma$ parameter) and the bulk Lorentz factor ($\gamma_{j}$).
  We show that the jet is heavily affected by the growth of current-driven kink
instabilities causing considerable deflection throughout its propagation
length.
  This behavior is partially stabilized by the combined action of larger flow
velocities and/or reduced magnetic field strengths.
  We find that our best jet models are characterized by relatively large values
of $\sigma$ ($\gtrsim 1$) and small values of $\gamma_{j}\simeq 2$.
  Our results are in good agreement with the recent X-ray (\textit{Chandra})
data of the Crab Nebula South-East jet indicating that the jet changes
direction of propagation on a time scale of the order of few years.
  The 3D models presented here may have important implications in the
investigation of particle acceleration in relativistic outflows.


title:
On the Dynamics of the Ensemble of Particles in the Thermodynamic Model
  of Gravity

abstract:
  Within the thermodynamic model of gravity the dark energy is identified with
the energy of collective gravitational interactions of all particles in the
universe, which is missing in the standard treatments. For the model-universe
we estimate the radiation, baryon and dark energy densities and obtain the
values which are close to the current observations. It is shown that total
gravitational potential of a particle from the world ensemble is a scale
dependent quantity and its value is twice of Newtonian potential. The
Einstein-Infeld-Hoffmann approximation to general relativity was used to show
that the acceleration of a particle from the world ensemble can be considered
as a relative quantity when the universe is described by the flat cosmological
model.


title:
On a Special Transformation to a Non-Inertial, Radially Rigid Reference
  Frame

abstract:
  We discuss the conditions under which a body, moving non-inertially in
Minkowski space, can preserve its size. Under these conditions, using a series
expansion of the generalized Lorentz transformation, we find a coor- dinate
transformation connecting the laboratory inertial reference frame S and the
rigid non-inertial reference frame s which moves without its own rotation with
respect to S. Direct consequences of this transformation are: (a)
desynchronization, in system s, of the coordinate clocks of s which were
previously synchronized in S, and (b) a kinematic contraction of a ruler of
system s observed in S. We also consider the dependence of the transfor- mation
vector parameter on the proper coordinates of s.


title:
Three-dimensional numerical simulation of magnetohydrodynamic-gravity
  waves and vortices in the solar atmosphere

abstract:
  With the adaptation of the FLASH code we simulate magnetohydrodynamic-gravity
waves and vortices as well as their response in the magnetized
three-dimensional (3D) solar atmosphere at different heights to understand the
localized energy transport processes. In the solar atmosphere strongly
structured by gravitational and magnetic forces, we launch a localized velocity
pulse (in horizontal and vertical components) within a bottom layer of 3D solar
atmosphere modelled by initial VAL-IIIC conditions, which triggers waves and
vortices. The rotation direction of vortices depends on the orientation of an
initial perturbation. The vertical driver generates magnetoacoustic-gravity
waves which result in oscillations of the transition region, and it leads to
the eddies with their symmetry axis oriented vertically. The horizontal pulse
excites all magnetohydrodynamic-gravity waves and horizontally oriented eddies.
These waves propagate upwards, penetrate the transition region, and enter the
solar corona. In the high-beta plasma regions the magnetic field lines move
with the plasma and the temporal evolution show that they swirl with eddies. We
estimate the energy fluxes carried out by the waves in the magnetized solar
atmosphere and conclude that such wave dynamics and vortices may be significant
in transporting the energy to sufficiently balance the energy losses in the
localized corona. Moreover, the structure of the transition region highly
affects such energy transports, and causes the channelling of the propagating
waves into the inner corona.


title: Front propagation in nonlinear parabolic equations

abstract:
  We study existence and stability of travelling waves for nonlinear convection
diffusion equations in the 1-D Euclidean space. The diffusion coefficient
depends on the gradient in analogy with the p-Laplacian and may be degenerate.
Unconditional stability is established with respect to initial data
perturbations in the Lebesgue space of integrable functions.


title:
Design, optimization and realization of FLC based Stokes polarimeters
  and Mueller matrix ellipsometer using a genetic algorithm

abstract:
  The design of broad-band polarimeters with high performance is challenging
due to the wavelength dependence of optical components. An efficient Genetic
Algorithm (GA) computer code was recently developed in order to design and
re-optimize complete broadband Stokes polarimeters and Mueller matrix
ellipsometers (MME). Our results are improvements of previous patented designs
based on two and three ferroelectric liquid crystals (FLC), and are suited for
broad-band hyperspectral imaging, or multichannel spectroscopy applications. We
have realized and implemented one design using two FLCs and compare the
spectral range and precision with previous designs.


title: The first positive rank and crank moments for overpartitions

abstract:
  In 2003, Atkin and Garvan initiated the study of rank and crank moments for
ordinary partitions. These moments satisfy a strict inequality. We prove that a
strict inequality also holds for the first rank and crank moments of
overpartitions and consider a new combinatorial interpretation in this setting.


title:
Planck 2013 results. XXX. Cosmic infrared background measurements and
  implications for star formation

abstract:
  We present new measurements of CIB anisotropies using Planck. Combining HFI
data with IRAS, the angular auto- and cross frequency power spectrum is
measured from 143 to 3000 GHz, and the auto-bispectrum from 217 to 545 GHz. The
total areas used to compute the CIB power spectrum and bispectrum are about
2240 and 4400 deg^2, respectively. After careful removal of the contaminants,
and a complete study of systematics, the CIB power spectrum and bispectrum are
measured with unprecedented signal to noise ratio from angular multipoles
ell~150 to 2500, and ell~130 to 1100, respectively. Two approaches are
developed for modelling CIB power spectrum anisotropies. The first approach
takes advantage of the unique measurements by Planck at large angular scales,
and models only the linear part of the power spectrum, with a mean bias of dark
matter halos hosting dusty galaxies at a given redshift weighted by their
contribution to the emissivities. The second approach is based on a model that
associates star-forming galaxies with dark matter halos and their subhalos,
using a parametrized relation between the dust-processed infrared luminosity
and (sub-)halo mass. The two approaches simultaneously fit all auto- and cross-
power spectra very well. We find that the star formation history is well
constrained up to z~2. However, at higher redshift, the accuracy of the star
formation history measurement is strongly degraded by the uncertainty in the
spectral energy distribution of CIB galaxies. We also find that CIB galaxies
have warmer temperatures as redshift increases. The CIB bispectrum is steeper
than that expected from the power spectrum, although well fitted by a power
law; this gives some information about the contribution of massive halos to the
CIB bispectrum.


title:
Hyperbolic metrics, measured foliations and pants decompositions for
  non-orientable surfaces

abstract:
  We provide analogues for non-orientable surfaces with or without boundary or
punctures of several basic theorems in the setting of the Thurston theory of
surfaces which were developed so far only in the case of orientable surfaces.
Namely, we provide natural analogues for non-orientable surfaces of the
Fenchel-Nielsen theorem on the parametrization of the Teichm\"uller space of
the surface, the Dehn-Thurston theorem on the parametrization of measured
foliations in the surface, and the Hatcher-Thurston theorem, which gives a
complete minimal set of moves between pair of pants decompositions of the
surface. For the former two theorems, one in effect drops the twisting number
for any curve in a pants decomposition which is 1-sided, and for the latter,
new elementary moves on pants decompositions are introduced.


title:
A novel ion cooling trap for multi-reflection time-of-flight mass
  spectrograph

abstract:
  A radiofrequency quadrupole ion trap system for use with a multi-reflection
time-of-flight mass spectrograph (MRTOF) for short-lived nuclei has been
developed. The trap system consists of two different parts, an asymmetric taper
trap and a flat trap. The ions are cooled to a sufficient small bunch for
precise mass measurement with MRTOF in only 2 ms cooling time in the flat trap,
then orthogonally ejected to the MRTOF for mass analysis. A trapping efficiency
of ~27% for 23Na+ and ~5.1% for 7Li+ has been achieved.


title: Strains Induced by Point Defects in Graphene on a Metal

abstract:
  Strains strongly affect the properties of low-dimensional materials, such as
graphene. By combining in situ, in operando, reflection high energy electron
diffraction experiments with first-principles calculations, we show that large
strains, above 2%, are present in graphene during its growth by chemical vapor
deposition on Ir(111) and when it is subjected to oxygen etching and ion
bombardment. Our results unravel the microscopic relationship between point
defects and strains in epitaxial graphene and suggest new avenues for graphene
nanostructuring and engineering its properties through introduction of defects
and intercalation of atoms and molecules between graphene and its metal
substrate.


title: Heuristic Rating Estimation Approach to The Pairwise Comparisons Method

abstract:
  The Heuristic Ratio Estimation (HRE) approach proposes a new way of using the
pairwise comparisons matrix. It allows the assumption that the weights of some
alternatives (herein referred to as concepts) are known and fixed, hence the
weight vector needs to be estimated only for the other unknown values. The main
purpose of this paper is to extend the previously proposed iterative HRE
algorithm and present all the heuristics that create a generalized approach.
Theoretical considerations are accompanied by a few numerical examples
demonstrating how the selected heuristics can be used in practice.


title: Bi-Local Baryon Interpolating Fields with Three Flavours

abstract:
  Fierz identities follow from permutations of quark indices and thus determine
which chiral multiplets of baryon fields are Pauli-allowed, and which are not.
In a previous paper we have investigated the Fierz identities of baryon fields
with two light flavours and found that all bilocal fields that can be
constructed from three quarks are Pauli-allowed. That does not mean that all
possible chiral multiplets exist, however: some chiral multiplets do not appear
among structures with a given spin in the local limit, say J = 1/2. One such
chiral multiplet is the [(6,3)+(3,6)], which is necessary for a successful
chiral mixing phenomenology. In the present paper we extend those methods to
three light flavors, i.e. to SU_F(3) symmetry and explicitly construct all
three necessary chiral SU_L(3)*SU_R(3) multiplets, viz. [(6,3)+(3,6)],
[(3,3_bar)+(3_bar,3)] and [(3_bar,3)+(3,3_bar)] that are necessary for a
phenomenologically successful chiral mixing. We complete this analysis by
considering some bi-local baryon fields that are sufficient for the
construction of the "missing" spin 1/2 baryon interpolating fields. Bi-local
baryon fields have definite total angular momentum only in the local limit. The
physical significance of these results lies in the fact that they show that
there is no need for higher Fock space components, such as the (q^4 q_bar), in
the baryon chiral mixing framework, for the purpose of fitting the observed
axial couplings and magnetic moments: all of the sufficient "mirror components"
exist as bi-local fields.


title:
Evidence for a change in the radiation mechanism in the hard state of
  GRO J1655-40. Hysteresis in the broad-band noise components

abstract:
  We have analysed RXTE archival data to study the aperiodic variability of the
black-hole binary GRO J1655-40 during the hard state of the 2005 outburst. We
computed the 0.008-64 Hz power spectral density during the rise and decay of
the 2005 outburst, and we found that they were reasonably well modelled by the
sum of two, broad Lorenztian functions in most cases (plus a narrow QPO) which
correspond to three different variability components. Our aim is to study the
evolution of the timing properties of the source during the outburst, by
studying the correlation between the characteristics of the broad-band noise
components in the power spectra and the source luminosity. Our results suggest
that the whole power spectrum shifts to high (low) frequencies as the source
luminosity increases (decreases), in agreement with previous studies of other
black hole binaries. However, we also detect a strong "hysteresis" pattern in
the "frequency-luminosity" plots, and show that the "critical" luminosity
limit, above which the timing properties of the source change, is different
during the rise and the decay phase of the outburst. We discuss the general
implications of these results in the context of the truncated disc model.


title: Godel's Completeness Theorem and Deligne's Theorem

abstract:
  These notes were written for a presentation given at the university Paris VII
in January 2012. The goal was to explain a proof of a famous theorem by P.
Deligne about coherent topoi (coherent topoi have enough points) and to show
how this theorem is equivalent to G\"odel's completeness theorem for first
order logic. Because it was not possible to cover everything in only three
hours, the focus was on Barr's and Deligne's theorems. This explains why the
corresponding sections have been given more attention. Section 1 and the
Appendix were added in an attempt to make this document self-contained and
understandable by a reader with a good knowledge of topos theory.
  A coherent topos is a topos which is equivalent to a Grothendieck topos that
admits a site $(C,J)$ such that $C$ has finite limits and there exists a base
of $J$ with finite covering families. In order to prove that any coherent topos
has enough points, it is enough to show that for any coherent topos
$\mathcal{E}$ there is a surjective geometric morphism from a topos with enough
points to $\mathcal{E}$. As sheaf topoi over topological spaces have enough
points, any surjective geometric morphism from some $Sh(X)$, with $X$ a
topological space, to $\mathcal{E}$ is sufficient. These are provided by Barr's
theorem. This is the approach that will be taken here (following MacLane and
Moerdijk, Sheaves in Geometry and Logic).


title:
Model of the Electrostatics and Tunneling Current of Metal-Graphene
  Junctions and Metal-Insulator-Graphene Heterostructures

abstract:
  In this paper we present a comprehensive model for the tunneling current of
the metal-insulator-graphene heterostructure, based on the Bardeen Transfer
Hamiltonian method, of the metal-insulator-graphene heterostructure. As a
particular case we have studied the metal-graphene junction, unveiling the role
played by different electrical and physical parameters in determining the
differential contact resistance.


title: Quantum chaos in an ultra-strongly coupled bosonic junction

abstract:
  The classical and quantum dynamics of two ultra-strongly coupled and weakly
nonlinear resonators cannot be explained using the Discrete Nonlinear
Schr\"odinger Equation or the Bose-Hubbard model, respectively. Instead, a
model beyond the Rotating Wave Approximation must be studied. In the classical
limit this model is not integrable and becomes chaotic for a finite window of
parameters. For the quantum dimer we find corresponding regions of stability
and chaos. The more striking consequence for both classical and quantum chaos
is that the tunneling time between the sites becomes unpredictable. These
results, including the transition to chaos, can be tested in experiments with
superconducting microwave resonators.

categories: quant-ph cond-mat.mes-hall cond-mat.supr-con nlin.CD nlin.PS


title: Hierarchization for the Sparse Grid Combination Technique

abstract:
  The sparse grid combination technique provides a framework to solve high
dimensional numerical problems with standard solvers. Hierarchization is
preprocessing step facilitating the communication needed for the combination
technique. The derived hierarchization algorithm outperforms the baseline by up
to 30x and achieves close to 5% of peak performance. It also shows stable
performance for the tested data sets of up to 1 GB.


title: Theory and learning protocols for the material tempotron model

abstract:
  Neural networks are able to extract information from the timing of spikes.
Here we provide new results on the behavior of the simplest neuronal model
which is able to decode information embedded in temporal spike patterns, the so
called tempotron. Using statistical physics techniques we compute the capacity
for the case of sparse, time-discretized input, and "material" discrete
synapses, showing that the device saturates the information theoretic bounds
with a statistics of output spikes that is consistent with the statistics of
the inputs. We also derive two simple and highly efficient learning algorithms
which are able to learn a number of associations which are close to the
theoretical limit. The simplest versions of these algorithms correspond to
distributed on-line protocols of interest for neuromorphic devices, and can be
adapted to address the more biologically relevant continuous-time version of
the classification problem, hopefully allowing for the understanding of some
aspects of synaptic plasticity.


title: Cyclic structures and the topos of simplicial sets

abstract:
  Given a point p of the topos of simplicial sets and the corresponding flat
covariant functor F from the small category Delta to the category of sets, we
determine the extensions of F to the cyclic category. We show that to each such
cyclic structure on a point p of the topos of simplicial sets corresponds a
group G(p), that such groups can be noncommutative and that each G(p) is
described as the quotient of a left-ordered group by the subgroup generated by
a central element. Moreover for any cyclic set X, the fiber (or geometric
realization) of the underlying simplicial set of X at p inherits canonically
the structure of a G(p)-space. This gives a far reaching generalization of the
well-known circle action on the geometric realization of cyclic sets.


title: New bounds on the maximum number of edges in $k$-quasi-planar graphs

abstract:
  A topological graph is $k$-quasi-planar if it does not contain $k$ pairwise
crossing edges. A 20-year-old conjecture asserts that for every fixed $k$, the
maximum number of edges in a $k$-quasi-planar graph on $n$ vertices is $O(n)$.
Fox and Pach showed that every $k$-quasi-planar graph with $n$ vertices has at
most $n(\log n)^{O(\log k)}$ edges. We improve this upper bound to
$2^{\alpha(n)^c}n\log n$, where $\alpha(n)$ denotes the inverse Ackermann
function and $c$ depends only on $k$, for $k$-quasi-planar graphs in which any
two edges intersect in a bounded number of points. We also show that every
$k$-quasi-planar graph with $n$ vertices in which any two edges have at most
one point in common has at most $O(n\log n)$ edges. This improves the
previously known upper bound of $2^{\alpha(n)^c}n\log n$ obtained by Fox, Pach,
and Suk.


title:
Stochastic Dynamics of the Multi-State Voter Model over a Network based
  on Interacting Cliques and Zealot Candidates

abstract:
  The stochastic dynamics of the multi-state voter model is investigated on a
class of complex networks made of non-overlapping cliques, each hosting a
political candidate and interacting with the others via Erd\H{o}s-R\'enyi
links. Numerical simulations of the model are interpreted in terms of an ad-hoc
mean field theory, specifically tuned to resolve the inter/intra-clique
interactions. Under a proper definition of the thermodynamic limit (with the
average degree of the agents kept fixed while increasing the network size), the
model is found to display the empirical scaling discovered by Fortunato and
Castellano (Phys Rev Lett 99(13):138701, 2007), while the vote distribution
resembles roughly that observed in Brazilian elections.


title: Oblique MHD shocks: space-like and time-like

abstract:
  Shock waves constitute discontinuities in matter which are relevant in
studying the plasma behaviour in astrophysical scenarios and in heavy-ion
collision. They can produce conical emission in relativistic collisions and are
also thought to be the mechanism behind the acceleration of energetic particles
in active galactic nuclei and gamma ray bursts. The shocks are mostly
hydrodynamic shocks. In a magnetic background they become magnetohydrodynamic
(MHD) shocks. For that reason we study the space-like and time-like shock
discontinuity in a magnetic plasma. The shocks induce a phase transition in the
plasma, here assuming a transition from hadron to quarks. The MHD conservation
conditions are derived across the shock. The conservation conditions are solved
for downstream velocities and flow angles for given upstream variables. The
shock conditions are solved at different baryon densities. For the space-like
shocks the anisotropy in the downstream velocity arises due to the magnetic
field. The downstream velocity vector always points downward with respect to
the shock normal. With the increase in density the anisotropy is somewhat
reduced. The magnetic field has effectively no effect on time-like shocks. The
slight anisotropy in the downstream flow velocities is caused by the boosting
that brings the quantities from the fluid frame to normal incidence (NI) frame.


title: Canonical quantization of electromagnetism in spatially dispersive media

abstract:
  We find the action that describes the electromagnetic field in a spatially
dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is
diagonalized in terms of a continuum of normal modes. It is found that the
introduction of nonlocal response in the medium automatically regulates some
previously divergent results, and we calculate a finite value for the intensity
of the electromagnetic field at a fixed frequency within a homogeneous medium.
To conclude we discuss the potential importance of spatial dispersion in taming
the divergences that arise in calculations of Casimir-type effects.


title: Nonstrict inequality for Schmidt coefficients of three-qubit states

abstract:
  Generalized Schmidt decomposition of pure three-qubit states has four
positive and one complex coefficients. In contrast to the bipartite case, they
are not arbitrary and the largest Schmidt coefficient restricts severely other
coefficients. We derive a nonstrict inequality between three-qubit Schmidt
coefficients, where the largest coefficient defines the least upper bound for
the three nondiagonal coefficients or, equivalently, the three nondiagonal
coefficients together define the greatest lower bound for the largest
coefficient. In addition, we show the existence of another inequality which
should establish an upper bound for the remaining Schmidt coefficient.


title:
Time and probability: From classical mechanics to relativistic Bohmian
  mechanics

abstract:
  Bohmian mechanics can be generalized to a relativistic theory without
preferred foliation, with a price of introducing a puzzling concept of
spacetime probability conserved in a scalar time. We explain how analogous
concept appears naturally in classical statistical mechanics of relativistic
particles, with scalar time being identified with the proper time along
particle trajectories. The conceptual understanding of relativistic Bohmian
mechanics is significantly enriched by this classical insight. In particular,
the analogy between classical and Bohmian mechanics suggests the interpretation
of Bohmian scalar time as a quantum proper time different from the classical
one, the two being related by a nonlocal scale factor calculated from the wave
function. In many cases of practical interest, including the macroscopic
measuring apparatus, the fundamental spacetime probability explains the more
familiar space probability as an emergent approximate description. Requiring
that the quantum proper time in the classical limit should reduce to the
classical proper time, we propose that only massive particles have Bohmian
trajectories. An analysis of the macroscopic measuring apparatus made up of
massive particles restores agreement with the predictions of standard quantum
theory.


title: Time-Dependent Flow in Arrested States -- Transient Behaviour

abstract:
  The transient behaviour of highly concentrated colloidal liquids and
dynamically arrested states (glasses) under time-dependent shear is reviewed.
This includes both theoretical and experimental studies and comprises the
macroscopic rheological behaviour as well as changes in the structure and
dynamics on a microscopic individual-particle level. The microscopic and
macroscopic levels of the systems are linked by a comprehensive theoretical
framework which is exploited to quantitatively describe these systems while
they are subjected to an arbitrary flow history. Within this framework,
theoretical predictions are compared to experimental data, which were gathered
by rheology and confocal microscopy experiments, and display consistent
results. Particular emphasis is given to (i) switch-on of shear flow during
which the system can liquify, (ii) switch-off of shear flow which might still
leave residual stresses in the system, and (iii) large amplitude oscillatory
shearing. The competition between timescales and the dependence on flow history
leads to novel features in both the rheological response and the microscopic
structure and dynamics.


title:
Ground-state fidelity of the spin-1 Heisenberg chain with single ion
  anisotropy: quantum renormalization group and exact diagonalization
  approaches

abstract:
  We study the phase diagram of the anisotropic spin-1 Heisenberg chain with
single ion anisotropy (D) using a ground-state fidelity approach. The
ground-state fidelity and its corresponding susceptibility are calculated
within the quantum renormalization group scheme where we obtained the
renormalization of fidelity preventing to calculate the ground state. Using
this approach, the phase boundaries between the antiferromagnetic N\'{e}el,
Haldane and large-D phases are obtained for the whole phase diagram, which
justifies the application of quantum renormalization group to trace the
symmetery protected topological phases. In addition, we present numerical exact
diagonalization (Lanczos) results in, which we employ a recently introduced
non-local order parameter to locate the transition from Haldane to large-D
phase accurately.


title:
On the Geometry of Balls in the Grassmannian and List Decoding of Lifted
  Gabidulin Codes

abstract:
  The finite Grassmannian $\mathcal{G}_{q}(k,n)$ is defined as the set of all
$k$-dimensional subspaces of the ambient space $\mathbb{F}_{q}^{n}$. Subsets of
the finite Grassmannian are called constant dimension codes and have recently
found an application in random network coding. In this setting codewords from
$\mathcal{G}_{q}(k,n)$ are sent through a network channel and, since errors may
occur during transmission, the received words can possible lie in
$\mathcal{G}_{q}(k',n)$, where $k'\neq k$. In this paper, we study the balls in
$\mathcal{G}_{q}(k,n)$ with center that is not necessarily in
$\mathcal{G}_{q}(k,n)$. We describe the balls with respect to two different
metrics, namely the subspace and the injection metric. Moreover, we use two
different techniques for describing these balls, one is the Pl\"ucker embedding
of $\mathcal{G}_{q}(k,n)$, and the second one is a rational parametrization of
the matrix representation of the codewords.
  With these results, we consider the problem of list decoding a certain family
of constant dimension codes, called lifted Gabidulin codes. We describe a way
of representing these codes by linear equations in either the matrix
representation or a subset of the Pl\"ucker coordinates. The union of these
equations and the equations which arise from the description of the ball of a
given radius in the Grassmannian describe the list of codewords with distance
less than or equal to the given radius from the received word.


title:
Magnetic field structure in accretion columns on HMXB and effects on
  CRSF

abstract:
  In accreting neutron star binaries, matter is channelled by the magnetic
fields from the accretion disc to the poles of neutron stars forming an
accretion mound. We model such mounds by numerically solving the Grad-Shafranov
equation for axisymmetric static MHD equilibria. From our solutions we infer
local distortion of field lines due to the weight of accreted matter. Variation
in mass loading at the accretion disc will alter the shape of the accretion
mound which will also affect the local field distortion. From simulations of
cyclotron resonance scattering features from HMXBs, we conclude that local
field distortion will greatly affect the shape and nature of the CRSF. From
phase resolved spectral analysis one can infer the local field structure and
hence the nature of mass loading of field lines at the accretion disc. We also
study the stability of such mounds by performing MHD simulations using the
PLUTO MHD code. We find that pressure and gravity driven instabilities depend
on the total mass accreted and the nature of mass loading of the field lines.


title: Counting of discrete Rossby/drift wave resonant triads

abstract:
  The purpose of this note is to remove the confusion about counting of
resonant wave triads for Rossby and drift waves in the context of the
Charney-Hasegawa-Mima equation. In particular, we aim to point out a major
error of over-counting of triads in the paper "Discrete exact and
quasi-resonances of Rossby/drift waves on beta-plane with periodic boundary
conditions", by Kartashov and Kartashova, arXiv:1307.8272v1 [physics.flu-dyn]
(2013).


title: Projective geometry in characteristic one and the epicyclic category

abstract:
  We show that the cyclic and epicyclic categories which play a key role in the
encoding of cyclic homology and the lambda operations, are obtained from
projective geometry in characteristic one over the infinite semifield F of
"max-plus integers". Finite dimensional vector spaces are replaced by modules
defined by restriction of scalars from the one-dimensional free module, using
the Frobenius endomorphisms of F. The associated projective spaces are finite
and provide a mathematically consistent interpretation of J. Tits' original
idea of a geometry over the absolute point. The self-duality of the cyclic
category and the cyclic descent number of permutations both acquire a geometric
meaning.


title: Radial basis function approach in nuclear mass predictions

abstract:
  The radial basis function (RBF) approach is applied in predicting nuclear
masses for 8 widely used nuclear mass models, ranging from
macroscopic-microscopic to microscopic types. A significantly improved accuracy
in computing nuclear masses is obtained, and the corresponding rms deviations
with respect to the known masses is reduced by up to 78%. Moreover, strong
correlations are found between a target nucleus and the reference nuclei within
about three unit in distance, which play critical roles in improving nuclear
mass predictions. Based on the latest Weizs\"{a}cker-Skyrme mass model, the RBF
approach can achieve an accuracy comparable with the extrapolation method used
in atomic mass evaluation. In addition, the necessity of new high-precision
experimental data to improve the mass predictions with the RBF approach is
emphasized as well.


title:
Descriptive Statistics of the Genome: Phylogenetic Classification of
  Viruses

abstract:
  The typical process for classifying and submitting a newly sequenced virus to
the NCBI database involves two steps. First, a BLAST search is performed to
determine likely family candidates. That is followed by checking the candidate
families with the Pairwise Sequence Alignment tool for similar species. The
submitter's judgement is then used to determine the most likely species
classification. The aim of this paper is to show that this process can be
automated into a fast, accurate, one-step process using the proposed
alignment-free method and properly implemented machine learning techniques.
  We present a new family of alignment-free vectorizations of the genome, the
generalized vector, that maintains the speed of existing alignment-free methods
while outperforming all available methods. This new alignment-free
vectorization uses the frequency of genomic words (k-mers), as is done in the
composition vector, and incorporates descriptive statistics of those k-mers'
positional information, as inspired by the natural vector.
  We analyze 5 different characterizations of genome similarity using
$k$-nearest neighbor classification, and evaluate these on two collections of
viruses totaling over 10,000 viruses. We show that our proposed method performs
better than, or as well as, other methods at every level of the phylogenetic
hierarchy.
  The data and R code is available upon request.


title: The endomorphism ring of an injective square-free module

abstract:
  Let $M_R$ be an injective right module over a ring $R$. The goal of this
paper to prove that the endomorphism ring $S=(M_R)$ of $M$ is quasi-duo if and
only if $M_R$ is square-free.


title:
Deterministic CNOT gate and entanglement swapping for photonic qubits
  using a quantum-dot spin in a double-sided optical microcavity

abstract:
  We propose a deterministic and scalable scheme to construct a two-qubit
controlled-NOT (CNOT) gate and realize entanglement swapping between photonic
qubits using a quantum-dot (QD) spin in a double-sided optical microcavity. The
scheme is based on spin selective photon reflection from the cavity and can be
achieved in a nondestructive and heralded way. We assess the feasibility of the
scheme and show that the scheme can work in both the weak coupling and the
strong coupling regimes. The scheme opens promising perspectives for
long-distance photonic quantum communication and distributed quantum
information processing.


title:
3D gravity with propagating torsion: Hamiltonian structure of the scalar
  sector

abstract:
  We study the Hamiltonian structure of the general parity-invariant model of
three-dimensional gravity with propagating torsion, with eight parameters in
the Lagrangian. In the scalar sector, containing scalar or pseudoscalar modes
with respect to maximally symmetric background, the phenomenon of constraint
bifurcation is observed and analyzed. The stability of the Hamiltonian
structure under linearization is used to identify dynamically acceptable values
of parameters.


title:
Quantum fluctuations, the Boson peak, and the glassy state of
  biomolecules

abstract:
  It has been recognized in the literature that some physical properties of
hydrated biomolecules, e.g., the occurrence of Boson peak, resembles of those
of glassy state. In the present work is shown that quantum fluctuations play a
fundamental role on describing the glassy state of biomolecules, specially at
lower hydration levels. It is reported a remarkable linear dependence on the
quantumness and the slope of the Boson peak frequency temperature dependence
which would be used to classify de degree of quantum contributions to the
glassy state by glasses in general. Finally, it is shown that the Boson peak
two-bands spectral structure observed in some cases could be direct linked to
the anisotropy of the material elastic properties.


title: Noether's problem for p-groups of order p^{5}

abstract:
  Let $k$ be any field, $p>3$ be any prime number and $G$ be a nonabelian
$p$-group of order $p^{5}$. Consider the action of $G$ on the rational function
field $k(x_{h}:h\in G)$ by $g\cdot x_{h}=x_{gh}$ for all $g,h\in G$. Let $e$ be
the exponent of $G$. Noether's problem asks whether the fixed field
$k(G)=k(x_{h}:h\in G)^{G}$ is rational (i.e., purely transcendental) over $k$.
In this paper, we will prove that if $G$ does not belong to the isoclinic
family $\Phi_{10}$ in James's classification \cite{Jam1980} and $k$ contains a
primitive $e$th root of unity, then $k(G)$ is rational over $k$. As a
corollary, if $k=\textbf{C}$ is the field of complex numbers, then
$\textbf{C}(G)$ is rational over $\textbf{C}$ if and only if $G$ is not in the
family $\Phi_{10}$. This refines a recent result of Hoshi, Kang and Kunyavskii
(\cite{HKK2012}, Theorem 1.12).


title: Direct Timing Method for Longitudinal Coordinate Determination in Straws

abstract:
  The considering different technics of measuring the longitudinal coordinates
by the drift tubes. It is shown that the determination of the longitudinal
coordinate by the direct time method provides the best longitudinal resolution.
The realization of this method enables the development of coordinate detectors
based on the straw with two-dimensional readout, which can be fast enough and
not very complex.


title:
Correlation trends in the ground state static electric dipole
  polarizabilities of closed-shell atoms and ions

abstract:
  We employ the closed-shell perturbed relativistic coupled-cluster (RCC)
theory developed by us earlier [Phys. Rev. A {\bf 77}, 062516 (2008)] to
evaluate the ground state static electric dipole polarizabilities (\alpha s) of
several atomic systems. In this work, we have incorporated a class of higher
order many-body effects in our calculations that had not been taken into
account in the above paper. We highlight their importance in improving the
accuracy of $\alpha$. We also calculate the ground state \alpha s of the inert
gas atoms and several iso-electronic singly and doubly charged ions in order to
make a comparative study of the trends of the correlation effects. Furthermore,
we have developed a method to construct intermediate diagrams that are required
for the computation of the unperturbed singles and doubles coupled-cluster
amplitudes. Our RCC results are compared with those of many-body perturbation
theory at different orders to demonstrate the importance of higher order
correlation effects for the accurate determination of (\alpha s) of the systems
that we have considered.


title: Distinguishing homomorphisms of infinite graphs

abstract:
  We supply an upper bound on the distinguishing chromatic number of certain
infinite graphs satisfying an adjacency property. Distinguishing proper
$n$-colourings are generalized to the new notion of distinguishing
homomorphisms. We prove that if a graph $G$ satisfies the connected
existentially closed property and admits a homomorphism to $H$, then it admits
continuum-many distinguishing homomorphisms from $G$ to $H$ join $K_2.$
Applications are given to a family universal $H$-colourable graphs, for $H$ a
finite core.


title: Simultaneous Yohkoh/SXT and TRACE Observations of Solar Plasma Ejections

abstract:
  We investigated the relationship between hot (~10 MK) and warm (~1 MK) plasma
ejections observed in the solar corona during some flares from April 1998 to
December 2001. Based on the catalog of X-ray Plasma Ejections (XPEs) observed
by the Soft X-ray Telescope onboard the Yohkoh satellite, we have identified
counterparts of XPEs in extreme-ultraviolet (EUV) images, derived by the TRACE
satellite. We found that the XPEs are always associated with the EUV ejections.
In most cases, ejections of warm plasma start earlier than ejections of hot
plasma. The comprehensive analysis of kinematic and morphology evolution of the
most interesting and well-observed events is also given


title:
The representation theory of the exceptional Lie superalgebras F(4) and
  G(3)

abstract:
  This paper is a resolution of three related problems proposed by Yu. I. Manin
and V. Kac for the so-called {\it{exceptional}} Lie superalgebras F(4) and
G(3). The first problem posed by Kac (1978) is the problem of finding character
and superdimension formulae for the simple modules. The second problem posed by
Kac (1978) is the problem of classifying all indecomposable representations.
The third problem posed by Manin (1981) is the problem of constructing the
{\it{superanalogue}} of Borel-Weil-Bott theorem.


title: Early stage massive star formation near the Galactic Center: Sgr C

abstract:
  We present near-infrared spectroscopy and 1 mm line and continuum
observations of a recently identified site of high mass star formation likely
to be located in the Central Molecular Zone near Sgr C. Located on the
outskirts of the massive evolved HII region associated with Sgr C, the area is
characterized by an Extended Green Object measuring ~10" in size (0.4 pc),
whose observational characteristics suggest the presence of an embedded massive
protostar driving an outflow. Our data confirm that early-stage star formation
is taking place on the periphery of the Sgr C HII region, with detections of
two protostellar cores and several knots of H2 and Brackett gamma emission
alongside a previously detected compact radio source. We calculate the cores'
joint mass to be ~10^3 Msun, with column densities of 1-2 x 10^24 cm-2. We show
the host molecular cloud to hold ~10^5 Msun of gas and dust with temperatures
and column densities favourable for massive star formation to occur, however,
there is no evidence of star formation outside of the EGO, indicating that the
cloud is predominantly quiescent. Given its mass, density, and temperature, the
cloud is comparable to other remarkable non-star-forming clouds such as G0.253
in the Eastern CMZ.


title:
Universal behavior of magnetoresistance in quantum dot arrays with
  different degree of disorder

abstract:
  Magnetoresistance in two-dimensional array of Ge/Si quantum dots was studied
in a wide range of zero-magnetic field conductances, where the transport regime
changes from hopping to diffusive one. The behavior of magnetoresistance is
found to be similar for all samples - it is negative in weak fields and becomes
positive with increase of magnetic field. The result apparently contradicts to
existing theories. To explain experimental data we suggest that clusters of
overlapping quantum dots are formed. These clusters are assumed to have
metal-like conductance, the charge transfer taking place via hopping between
the clusters. Relatively strong magnetic field shrinks electron wave functions
decreasing inter-cluster hopping and, therefore, leading to a positive
magnetoresistance. Weak magnetic field acts on "metallic" clusters destroying
interference of electron wave function corresponding to different paths (weak
localization) inside clusters. The interference may be restricted either by
inelastic processes, or by the cluster size. Taking into account WL inside
clusters and hopping between them within the effective medium approximation we
extract effective parameters characterizing charge (magneto) transport.


title:
Tapered fiber coupling of single photons emitted by a deterministically
  positioned single nitrogen vacancy center

abstract:
  A diamond nano-crystal hosting a single nitrogen vacancy (NV) center is
optically selected with a confocal scanning microscope and positioned
deterministically onto the subwavelength-diameter waist of a tapered optical
fiber (TOF) with the help of an atomic force microscope. Based on this
nano-manipulation technique we experimentally demonstrate the evanescent
coupling of single fluorescence photons emitted by a single NV-center to the
guided mode of the TOF. By comparing photon count rates of the fiber-guided and
the free-space modes and with the help of numerical FDTD simulations we
determine a lower and upper bound for the coupling efficiency of (9.5+/-0.6)%
and (10.4+/-0.7)%, respectively. Our results are a promising starting point for
future integration of single photon sources into photonic quantum networks and
applications in quantum information science.


title:
The complexity of Shortest Common Supersequence for inputs with no
  identical consecutive letters

abstract:
  The Shortest Common Supersequence problem (SCS for short) consists in finding
a shortest common supersequence of a finite set of words on a fixed alphabet
Sigma. It is well-known that its decision version denoted [SR8] in [Garey and
Johnson] is NP-complete. Many variants have been studied in the literature. In
this paper we settle the complexity of two such variants of SCS where inputs do
not contain identical consecutive letters. We prove that those variants denoted
\varphi SCS and MSCS both have a decision version which remains NP-complete
when |\Sigma| is at least 3. Note that it was known for MSCS when |\Sigma| is
at least 4 [Fleisher and Woeginger] and we discuss how [Darte] states a similar
result for |\Sigma| at least 3.


title: Nonparametric inference in hidden Markov models using P-splines

abstract:
  Hidden Markov models (HMMs) are flexible time series models in which the
distributions of the observations depend on unobserved serially correlated
states. The state-dependent distributions in HMMs are usually taken from some
class of parametrically specified distributions. The choice of this class can
be difficult, and an unfortunate choice can have serious consequences for
example on state estimates, on forecasts and generally on the resulting model
complexity and interpretation, in particular with respect to the number of
states. We develop a novel approach for estimating the state-dependent
distributions of an HMM in a nonparametric way, which is based on the idea of
representing the corresponding densities as linear combinations of a large
number of standardized B-spline basis functions, imposing a penalty term on
non-smoothness in order to maintain a good balance between goodness-of-fit and
smoothness. We illustrate the nonparametric modeling approach in a real data
application concerned with vertical speeds of a diving beaked whale,
demonstrating that compared to parametric counterparts it can lead to models
that are more parsimonious in terms of the number of states yet fit the data
equally well.


title: Spontaneous symmetry breaking in spinor Bose-Einstein condensates

abstract:
  We present an analytical model for the theoretical analysis of spin dynamics
and spontaneous symmetry breaking in a spinor Bose-Einstein condensate (BEC).
This allows for an excellent intuitive understanding of the processes and
provides good quantitative agreement with experimental results in Phys. Rev.
Lett. 105, 135302 (2010). It is shown that the dynamics of a spinor BEC
initially prepared in an unstable Zeeman state mF=0 (|0>) can be understood by
approximating the effective trapping potential for the state |+-1> with a
cylindrical box potential. The resonances in the creation efficiency of these
atom pairs can be traced back to excitation modes of this confinement. The
understanding of these excitation modes allows for a detailed characterization
of the symmetry breaking mechanism, showing how a twofold spontaneous breaking
of spatial and spin symmetry can occur. In addition a detailed account of the
experimental methods for the preparation and analysis of spinor quantum gases
is given.


title:
Imaging With Nature: Compressive Imaging Using a Multiply Scattering
  Medium

abstract:
  The recent theory of compressive sensing leverages upon the structure of
signals to acquire them with much fewer measurements than was previously
thought necessary, and certainly well below the traditional Nyquist-Shannon
sampling rate. However, most implementations developed to take advantage of
this framework revolve around controlling the measurements with carefully
engineered material or acquisition sequences. Instead, we use the natural
randomness of wave propagation through multiply scattering media as an optimal
and instantaneous compressive imaging mechanism. Waves reflected from an object
are detected after propagation through a well-characterized complex medium.
Each local measurement thus contains global information about the object,
yielding a purely analog compressive sensing method. We experimentally
demonstrate the effectiveness of the proposed approach for optical imaging by
using a 300-micrometer thick layer of white paint as the compressive imaging
device. Scattering media are thus promising candidates for designing efficient
and compact compressive imagers.


title:
A molecular dynamics simulation of DNA damage induction by ionizing
  radiation

abstract:
  We present a multi-scale simulation of early stage of DNA damages by the
indirect action of hydroxyl ($^\bullet$OH) free radicals generated by electrons
and protons. The computational method comprises of interfacing the Geant4-DNA
Monte Carlo with the ReaxFF molecular dynamics software. A clustering method
was employed to map the coordinates of $^\bullet$OH-radicals extracted from the
ionization track-structures onto nano-meter simulation voxels filled with DNA
and water molecules. The molecular dynamics simulation provides the time
evolution and chemical reactions in individual simulation voxels as well as the
energy-landscape accounted for the DNA-$^\bullet$OH chemical reaction that is
essential for the first principle enumeration of hydrogen abstractions,
chemical bond breaks, and DNA-lesions induced by collection of ions in clusters
less than the critical dimension which is approximately 2-3 \AA. We show that
the formation of broken bonds leads to DNA base and backbone damages that
collectively propagate to DNA single and double strand breaks. For illustration
of the methodology, we focused on particles with initial energy of 1 MeV. Our
studies reveal a qualitative difference in DNA damage induced by low energy
electrons and protons. Electrons mainly generate small pockets of
$^\bullet$OH-radicals, randomly dispersed in the cell volume. In contrast,
protons generate larger clusters along a straight-line parallel to the
direction of the particle. The ratio of the total DNA double strand breaks
induced by a single proton and electron track is determined to be $\approx$ 4
in the linear scaling limit. The tool developed in this work can be used in the
future to investigate the relative biological effectiveness of light and heavy
ions that are used in radiotherapy.

categories: physics.bio-ph cond-mat.dis-nn cond-mat.mes-hall physics.chem-ph physics.comp-ph


title:
Molecular properties by Quantum Monte Carlo: an investigation on the
  role of the wave function ansatz and the basis set in the water molecule

abstract:
  Quantum Monte Carlo methods are accurate and promising many body techniques
for electronic structure calculations which, in the last years, are
encountering a growing interest thanks to their favorable scaling with the
system size and their efficient parallelization, particularly suited for the
modern high performance computing facilities. The ansatz of the wave function
and its variational flexibility are crucial points for both the accurate
description of molecular properties and the capabilities of the method to
tackle large systems. In this paper, we extensively analyze, using different
variational ansatzes, several properties of the water molecule, namely: the
total energy, the dipole and quadrupole momenta, the ionization and atomization
energies, the equilibrium configuration, and the harmonic and fundamental
frequencies of vibration. The investigation mainly focuses on variational Monte
Carlo calculations, although several lattice regularized diffusion Monte Carlo
calculations are also reported. Through a systematic study, we provide a useful
guide to the choice of the wave function, the pseudo potential, and the basis
set for QMC calculations. We also introduce a new strategy for the definition
of the atomic orbitals involved in the Jastrow - Antisymmetrised Geminal power
wave function, in order to drastically reduce the number of variational
parameters. This scheme significantly improves the efficiency of QMC energy
minimization in case of large basis sets.

categories: physics.chem-ph cond-mat.str-el physics.atom-ph physics.comp-ph quant-ph


title:
Nonsensical Excel and Statistica Default Output and Algorithm for an
  Adequate Display

abstract:
  The purpose of this paper is to present an algorithm that determines the
necessary and sufficient number of significant digits in the coefficients of a
polynomial trend to achieve a pre-specified precision for the polynomial trend.
Thus, the obtained coefficients should be presented in the default output when
fitting the experimental data with the polynomial trend. Namely, when finding
the best fitting function for a certain type of data, there is a real
possibility of making significant errors when using the default output of the
Excel 2003, 2007, 2010, and 2013 and Statistica for Windows 2007-2012 software
packages. Conversely, the software package Mathematica (version 6) has been
very good at dealing with precision problems, although the default output
sometimes shows more significant digits than necessary.


title: Constant-Space Quantum Interactive Proofs Against Multiple Provers

abstract:
  We present upper and lower bounds of the computational complexity of the
two-way communication model of multiple-prover quantum interactive proof
systems whose verifiers are limited to measure-many two-way quantum finite
automata. We prove that (i) the languages recognized by those multiple-prover
systems running in expected polynomial time are exactly the ones in NEXP, the
nondeterministic exponential-time complexity class, (ii) if we further require
verifiers to be one-way quantum automata, then their associated proof systems
recognize context-free languages but not beyond languages in NE, the
nondeterministic linear exponential-time complexity class, and moreover, (iii)
when no time bound is imposed, the proof systems become as powerful as Turing
machines. The first two results answer affirmatively an open question, posed by
Nishimura and Yamakami [J. Comput. System Sci, 75, pp.255--269, 2009], of
whether multiple-prover quantum interactive proof systems are more powerful
than single-prover ones. Our proofs are simple and intuitive, although they
heavily rely on an earlier result on multiple-prover interactive proof systems
of Feige and Shamir [J. Comput. System Sci., 44, pp.259--271, 1992].


title:
Studies of systematic uncertainties of polarization estimation for
  experiments with WASA detector at COSY

abstract:
  In November 2010, the azimuthally symmetric WASA detector and the polarized
proton beam of COSY, have been used to collect a high statistics sample of
$\vec{p}p \rightarrow pp\eta$ reactions in order to determine the analyzing
power as a function of the invariant mass spectra of the two particle
subsystems. Here, we show studies of the influence of the beam and target
characteristics such as location and direction on the determination of the
polarization.


title:
On the finiteness of Bass numbers of local cohomology modules and
  Cominimaxness

abstract:
  In this paper, we continue the study of cominimaxness modules with respect to
an ideal of a commutative Noetherian ring (cf. \cite{ANV}), and
  Bass numbers of local cohomology modules.
  Let $R$ denote a commutative Noetherian local ring and $I$ an ideal of $R$.
We first show that the Bass numbers $\mu^0(\frak p, H^2_I(R))$ and $\mu^1(\frak
p, H^2_I(R))$ are finite for all $\frak p\in \Spec R$, whenever $R$ is regular.
As a consequence, it follows that the Goldie dimension of $H^2_I(R)$ is finite.
Also, for a finitely generated $R$-module $M$ of dimension $d$, it is shown
that the Bass numbers of $H^{d-1}_{I}(M)$ are finite if and only if
$\Ext^i_R(R/I, H^{d-1}_{I}(M))$ be minimax for all $i\geq0$. Finally, we prove
that if $\dim R/I=2$, then the Bass numbers of $H^{n}_{I}(M)$ are finite if and
only if $\Ext^i_R(R/I, H^{n}_{I}(M))$ be minimax, for all $i\geq0$, where $n$
is a non-negative integer.


title:
Nonperturbative treatment of coupled anharmonic vibrational molecular
  modes analyzed by 2D-infrared spectroscopy

abstract:
  In the present work, we give an analytical non-perturbative treatment of
mode-mode coupling and anharmonicity occurring in molecular vibrational systems
analyzed by 2D-infrared spectroscopy. This analytical description allows a
detailed discussion of the intricate structure of the 2D-infrared spectra
resulting from the contributions provided by the various possible chronological
orderings of the interactions with fields due to overlaps of the pulses. The
peculiar role of the vibrational overtones and other combination states on the
resonance shapes is elucidated and conditions for a better quantitative
analysis are discussed.