title: Universal scaling law in long gamma-ray bursts

abstract:
  Overwhelming diversity of long gamma-ray bursts (LGRBs), discovered after the
launch of {\it Swift} satellite, is a major obstacle to LGRB studies. Recently,
it is shown that the prompt emission of LGRBs is classified into three
subclasses: Type I, Type II LGRBs populating separate fundamental planes in a
3D space defined by the peak luminosity, the duration, and the spectral peak
energy, and outliers not belonging to either of the planes. Here we show that
Type I LGRBs (LGRBs I) exhibit different shapes of light curves from Type II
LGRBs (LGRBs II). Furthermore, we demonstrate that this classification has
uncovered a new scaling law in the light curves of LGRBs II spanning 8 orders
of magnitude from the prompt to late X-ray afterglow emission. The scaled light
curve has four distinct phases. The first phase has a characteristic time scale
while the subsequent three phases exhibit power law behaviors with different
exponents. We discuss its possible interpretation in terms of the emission from
an optically thick fireball propagating in the cricumstellar matter at
relativistic speeds and argue that the observed four phases correspond to its
hydrodynamical phases. Our classification scheme can pin down the intrinsic
luminosities of LGRBs II through the scaling law from a sample of polymorphic
GRBs. Further refinement of this scheme and scaling law will make a subclass of
LGRBs a standard candle as reliable and accurate as Type Ia supernovae in the
more distant universe than supernovae can reach.


title:
Petition Growth and Success Rates on the UK No. 10 Downing Street
  Website

abstract:
  Now that so much of collective action takes place online, web-generated data
can further understanding of the mechanics of Internet-based mobilisation. This
trace data offers social science researchers the potential for new forms of
analysis, using real-time transactional data based on entire populations,
rather than sample-based surveys of what people think they did or might do.
This paper uses a `big data' approach to track the growth of over 8,000
petitions to the UK Government on the No. 10 Downing Street website for two
years, analysing the rate of growth per day and testing the hypothesis that the
distribution of daily change will be leptokurtic (rather than normal) as
previous research on agenda setting would suggest. This hypothesis is
confirmed, suggesting that Internet-based mobilisation is characterized by
tipping points (or punctuated equilibria) and explaining some of the volatility
in online collective action. We find also that most successful petitions grow
quickly and that the number of signatures a petition receives on its first day
is a significant factor in explaining the overall number of signatures a
petition receives during its lifetime. These findings have implications for the
strategies of those initiating petitions and the design of web sites with the
aim of maximising citizen engagement with policy issues.

categories: cs.CY cs.SI physics.data-an physics.soc-ph


title:
A Goal Question Metric Approach for Evaluating Security in a Service
  Oriented Architecture Context

abstract:
  For interactions to be possible within the Service Oriented Architecture
(SOA) ecosystem, each actor must be enough confident of other actors to engage
safely in the interactions. Therefore, the establishing of objective metrics
tailored to the context of SOA that show security of a system and lead to
enhancements is very attractive. The purpose of our paper is to present a GQM
(Goal Question Metric) approach based on Standard security metrics and on SOA
maturity that can be a support for organizations to assess SOA Security and to
ensure the safety of their SOA based collaborations


title: Entanglement of one-magnon Schur-Weyl states

abstract:
  We investigate the entanglement properties of symmetry states of the
Schur-Weyl duality. Our approach based on reduced two-qubit density matrices,
and concurrence as the measure of entanglement. We show that all kinds of
entangled graphs, which describe the entanglement structure in Schur-Weyl
states are completely coded in the corresponding Young tableau.


title:
Non-specular reflections in a macroscopic system with wave-particle
  duality: spiral waves in bounded media

abstract:
  Spiral waves in excitable media possess both wave-like and particle-like
properties. When resonantly forced (forced at the spiral rotation frequency)
spiral cores travel along straight trajectories, but may reflect from medium
boundaries. Here, numerical simulations are used to study reflections from two
types of boundaries. The first is a no-flux boundary which waves cannot cross,
while the second is a step change in the medium excitability which waves do
cross. Both small-core and large-core spirals are investigated. The predominant
feature in all cases is that the reflected angle varies very little with
incident angle for large ranges of incident angles. Comparisons are made to the
theory of Biktashev and Holden. Large-core spirals exhibit other phenomena such
as binding to boundaries. The dynamics of multiple reflections is briefly
considered.


title: Averaging on Manifolds by Embedding Algorithm

abstract:
  We will propose a new algorithm for finding critical points of cost functions
defined on a differential manifold. We will lift the initial cost function to a
manifold that can be embedded in a Riemannian manifold (Euclidean space) and
will construct a vector field defined on the ambient space whose restriction to
the embedded manifold is the gradient vector field of the lifted cost function.
The advantage of this method is that it allows us to do computations in
Cartesian coordinates instead of using local coordinates and covariant
derivatives on the initial manifold. We will exemplify the algorithm in the
case of SO(3) averaging problems and will rediscover a few well known results
that appear in literature.


title: Efficient estimation in sufficient dimension reduction

abstract:
  We develop an efficient estimation procedure for identifying and estimating
the central subspace. Using a new way of parameterization, we convert the
problem of identifying the central subspace to the problem of estimating a
finite dimensional parameter in a semiparametric model. This conversion allows
us to derive an efficient estimator which reaches the optimal semiparametric
efficiency bound. The resulting efficient estimator can exhaustively estimate
the central subspace without imposing any distributional assumptions. Our
proposed efficient estimation also provides a possibility for making inference
of parameters that uniquely identify the central subspace. We conduct
simulation studies and a real data analysis to demonstrate the finite sample
performance in comparison with several existing methods.


title: Merging Gravitation with Thermodynamics to Understand Cosmology

abstract:
  We discuss the evolution of the universe in the context of the second law of
thermodynamics from its early stages to the far future. Cosmological
observations suggest that most matter and radiation will be absorbed by the
cosmological horizon. On the local scale, the matter that is not ejected from
our supercluster will collapse to a supermassive black hole and then slowly
evaporate. The history of the universe is that of an approach to the
equilibrium state of the gravitational field.

categories: gr-qc astro-ph.CO math-ph math.MP physics.space-ph


title: Evidence for anomalous structural behavior in CaFe2As2

abstract:
  The structural properties of the CaFe2As2 have been investigated by x-ray and
neutron powder diffraction techniques as a function of temperature. Unambiguous
experimental evidence is shown for coexistence of tetragonal and orthorhombic
phases below 170 K in contrast to existing literature. Detailed Rietveld
analyses of thermo-diffractograms show that the sample does not transform
completely in to the orthorhombic phase at the lowest temperature even though
it is the majority phase. We have found that the unit cell volume of the
orthorhombic phase is higher compared to that of the tetragonal phase for all
the temperatures. X-ray data on CaFe2As2 shows anomalous (at) lattice parameter
contraction with increasing temperature and phase co-existence behavior below
170 K unlike other members of the 122 family of compounds like SrFe2As2 and
EuFe2As2. Temperature dependent magnetization of polycrystalline CaFe2As2
sample show weak anomalies below 170 K. This behavior of the polycrystalline
sample is in contrast to that of a single crystal reported earlier.


title:
A Semiparametric Bayesian Extreme Value Model Using a Dirichlet Process
  Mixture of Gamma Densities

abstract:
  In this paper we propose a model with a Dirichlet process mixture of gamma
densities in the bulk part below threshold and a generalized Pareto density in
the tail for extreme value estimation. The proposed model is simple and
flexible allowing us posterior density estimation and posterior inference for
high quantiles. The model works well even for small sample sizes and in the
absence of prior information. We evaluate the performance of the proposed model
through a simulation study. Finally, the proposed model is applied to a real
environmental data.


title:
Astrophysical data mining with GPU. A case study: genetic classification
  of globular clusters

abstract:
  We present a multi-purpose genetic algorithm, designed and implemented with
GPGPU / CUDA parallel computing technology. The model was derived from our CPU
serial implementation, named GAME (Genetic Algorithm Model Experiment). It was
successfully tested and validated on the detection of candidate Globular
Clusters in deep, wide-field, single band HST images. The GPU version of GAME
will be made available to the community by integrating it into the web
application DAMEWARE (DAta Mining Web Application REsource
(http://dame.dsf.unina.it/beta_info.html), a public data mining service
specialized on massive astrophysical data. Since genetic algorithms are
inherently parallel, the GPGPU computing paradigm leads to a speedup of a
factor of 200x in the training phase with respect to the CPU based version.


title:
(d,3He) reaction on odd-neutron nuclear target for the formation of
  deeply bound pionic atoms

abstract:
  We consider the pionic atom spectroscopy by the (d,3He) reaction on an
odd-neutron nuclear target in this article, which has not been investigated so
far. In the (d,3He) reaction on the odd-neutron nuclear target, we can observe
the pionic states in the even-neutron nucleus with spin-parity 0+. We expect
that this pionic state does not have the additional shifts due to the effects
of the residual interaction between neutron-hole and pionic states. For the
even-neutron nuclear target cases, we may have to take into account the
residual interaction effects to deduce the binding energies of the pionic
states precisely from the high precision experimental data since the final
pionic states are the pion-particle plus neutron-hole states. Thus, in addition
to widening the domain of the pionic atom spectroscopy in nuclear chart, the
present study of the (d,3He) reaction on the odd-neutron target is considered
to be important to deduce extremely precise information on the binding energies
of the observed pionic states, and to know the pion properties and aspects of
the symmetries of the strong interaction at finite density. We modify the
formula of the even-even nuclear target case to study the pionic atom formation
spectra on the even-odd nuclear target and show the numerical results of 117Sn
target case. This experiment will be performed at RIBF/RIKEN in near future.


title: Position Space CMB Anomalies from Multi-Stream Inflation

abstract:
  Temporary domain walls are produced during the bifurcation era of
multi-stream inflation. The observational effects from such a domain wall to
spectator field perturbations are calculated, and we expect the inflationary
perturbations share similarities with the case of spectator field. A domain
wall induces a preferred direction in the sky, affecting the angular
distribution of perturbations. A correlated suppression of multipoles together
with an alignment of multipole moments on the preferred direction are
generated. Other observational aspects of multi-stream inflation, including
hemispherical asymmetry and cold spot are also briefly reviewed.


title: Software for creating pictures in the LaTeX environment

abstract:
  To create a text with graphic instructions for output pictures into LATEX
document, we offer software that allows us to build a picture in WIZIWIG mode
and for setting the text with these graphical instructions.


title: Exact Solutions in Massive Gravity

abstract:
  Massive gravity is a good theoretical laboratory to study modifications of
General Relativity. The theory offers a concrete set-up to study models of dark
energy, since it admits cosmological self-accelerating solutions in the vacuum,
in which the size of the acceleration depends on the graviton mass. Moreover,
non-linear gravitational self-interactions, in the proximity of a matter
source, manage to mimic the predictions of linearised General Relativity, hence
agreeing with solar-system precision measurements. In this article, we review
our work in the subject, classifying, on one hand, static solutions, and on the
other hand, self-accelerating backgrounds. For what respects static solutions
we exhibit black hole configurations, together with other solutions that
recover General Relativity near a source via the Vainshtein mechanism. For the
self-accelerating solutions we describe a wide class of cosmological
backgrounds, including an analysis of their stability.


title:
The effect of Hydrogen atom on the Screw Dislocation Mobility in BCC
  Iron: A First-Principles Study

abstract:
  We investigate the effect of hydrogen on the mobility of a screw dislocation
in body-centered cubic (bcc) iron using first-principles calculations, and show
that an increase of screw dislocation velocity is expected for a limited
temperature range. The interaction energy between a screw dislocation and
hydrogen atoms is calculated for various hydrogen positions and dislocation
configurations with careful estimations of the finite size effects, and the
strongest binding energy of a hydrogen atom to the stable screw dislocation
configuration is estimated to be $256\pm32$ meV. These results are incorporated
into a line tension model of a curved dislocation line to elucidate the effect
of hydrogen on the dislocation migration process. Both the softening and
hardening effect of hydrogen, caused by the reduction of kink nucleation
enthalpy and kink trapping, respectively, are evaluated. A clear transition
between softening and hardening behavior at the lower critical temperature is
predicted, which is in qualitative agreement with the experimental observation.


title: Robust Toric Ideals

abstract:
  We call an ideal in a polynomial ring robust if it can be minimally generated
by a universal Gr\"obner basis. In this paper we show that robust toric ideals
generated by quadrics are essentially determinantal. We then discuss two
possible generalizations to higher degree, providing a tight classification for
determinantal ideals, and a counterexample to a natural extension for Lawrence
ideals. We close with a discussion of robustness of higher Betti numbers.


title: On the Gaussian Interference Channel with Half-Duplex Causal Cognition

abstract:
  This paper studies the two-user Gaussian interference channel with
half-duplex causal cognition. This channel model consists of two
source-destination pairs sharing a common wireless channel. One of the sources,
referred to as the cognitive, overhears the other source, referred to as the
primary, through a noisy link and can therefore assist in sending the primary's
data. Due to practical constraints, the cognitive source is assumed to work in
half-duplex mode, that is, it cannot simultaneously transmit and receive. This
model is more relevant for practical cognitive radio systems than the classical
information theoretic cognitive channel model, where the cognitive source is
assumed to have a non-causal knowledge of the primary's message. Different
network topologies are considered, corresponding to different interference
scenarios: (i) the interference-symmetric scenario, where both destinations are
in the coverage area of the two sources and hence experience interference, and
(ii) the interference-asymmetric scenario, where one destination does not
suffer from interference. For each topology the sum-rate performance is studied
by first deriving the generalized Degrees of Freedom (gDoF), or "sum-capacity
pre-log" in the high-SNR regime, and then showing relatively simple coding
schemes that achieve a sum-rate upper bound to within a constant number of bits
for any SNR. Finally, the gDoF of the channel is compared to that of the
non-cooperative interference channel and to that of the non-causal cognitive
channel to identify the parameter regimes where half-duplex causal cognition is
useless in practice or attains its ideal ultimate limit, respectively.


title: Leptonic and Hadronic Modeling of Fermi-Detected Blazars

abstract:
  We describe new implementations of leptonic and hadronic models for the
broadband emission from relativistic jets in AGN in a temporary steady state.
For the leptonic model, a temporary equilibrium between particle
injection/acceleration, radiative cooling, and escape from a spherical emission
region is evaluated, and the self-consistent radiative output is calculated.
For the hadronic model, a temporary equilibrium between particle
injection/acceleration, radiative and adiabatic cooling, and escape is
evaluated for both primary electrons and protons. A new, semi-analytical method
to evaluate the radiative output from cascades initiated by internal
gamma-gamma pair production is presented. We use our codes to fit snap-shot
spectral energy distributions of a representative set of Fermi-LAT detected
blazars. We find that the leptonic model provides acceptable fits to the SEDs
of almost all blazars with parameters close to equipartition between the
magnetic field and the relativistic electron population. However, the hard
gamma-ray spectrum of AO 0235+164, in contrast to the very steep IR-optical-UV
continuum, poses a severe problem for the leptonic model. If charge neutrality
in leptonic models is provided by cold protons, the kinetic energy carried by
the jet should be dominated by protons. We find satisfactory representations of
the snapshot SEDs of most blazars in our sample with the hadronic model
presented here. However, in the case of two quasars the characteristic break at
a few GeV energies can not be well modelled. All of our hadronic model fits
require powers in relativistic protons in the range L_p ~ 1e47 - 1e49 erg/s.


title: Security of Spectrum Learning in Cognitive Radios

abstract:
  Due to delay and energy constraints, a cognitive radio may not be able to
perform spectrum sensing in all available channels. Therefore, a sensing policy
is needed to decide which channels to sense. The channel selection problem is
the problem of designing such a sensing policy to maximize throughput while
avoiding interference to primary users. The channel selection problem can be
formulated as a reinforcement learning problem. Channel selection schemes that
employ reinforcement machine learning algorithms are vulnerable to belief
manipulation attacks that contaminate the knowledge base of the learning
algorithms. In this paper, we analyze the security of channel selection
algorithms that are based on reinforcement learning and propose mitigation
techniques that make these algorithms more robust against belief manipulation
attacks.


title:
The three site interacting spin chain in staggered field: Fidelity vs
  Loschmidt echo

abstract:
  We study the the ground state fidelity and the ground state Loschmidt echo of
a three site interacting XX chain in presence of a staggered field which
exhibits special types of quantum phase transitions due to change in the
topology of the Fermi surface, apart from quantum phase transitions from gapped
to gapless phases. We find that on one hand, the fidelity is able to detect
only the boundaries separating the gapped from the gapless phase; it is
completely insensitive to the phase transition from two Fermi points region to
four Fermi points region lying within this gapless phase. On the other hand,
Loschmidt echo shows a dip only at a special point in the entire phase diagram
and hence fails to detect any quantum phase transition associated with the
present model. We provide appropriate arguments in support of this anomalous
behavior.


title:
Optimal Feedback Rate Sharing Strategy in Zero-Forcing MIMO Broadcast
  Channels

abstract:
  In this paper, we consider a multiple-input multiple-output broadcast channel
with limited feedback where all users share the feedback rates. Firstly, we
find the optimal feedback rate sharing strategy using zero-forcing transmission
scheme at the transmitter and random vector quantization at each user. We
mathematically prove that equal sharing of sum feedback size among all users is
the optimal strategy in the low signal-to-noise ratio (SNR) region, while
allocating whole feedback size to a single user is the optimal strategy in the
high SNR region. For the mid-SNR region, we propose a simple numerical method
to find the optimal feedback rate sharing strategy based on our analysis and
show that the equal allocation of sum feedback rate to a partial number of
users is the optimal strategy. It is also shown that the proposed simple
numerical method can be applicable to finding the optimal feedback rate sharing
strategy when different path losses of the users are taken into account. We
show that our proposed feedback rate sharing scheme can be extended to the
system with stream control and is still useful for the systems with other
techniques such as regularized zero-forcing and spherical cap codebook.


title:
Coronal Magnetic Field Evolution from 1996 to 2012: Continuous
  Non-Potential Simulations

abstract:
  Coupled flux transport and magneto-frictional simulations are extended to
simulate the continuous magnetic field evolution in the global solar corona for
over 15 years, from the start of Solar Cycle 23 in 1996. By simplifying the
dynamics, our model follows the build-up and transport of electric currents and
free magnetic energy in the corona, offering an insight into the magnetic
structure and topology that extrapolation-based models can not. To enable these
extended simulations, we have implemented a more efficient numerical grid, and
have carefully calibrated the surface flux transport model to reproduce the
observed large-scale photospheric radial magnetic field, using emerging active
regions determined from observed line-of-sight magnetograms. This calibration
is described in some detail. In agreement with previous authors, we find that
the standard flux transport model is insufficient to simultaneously reproduce
the observed polar fields and butterfly diagram during Cycle 23, and that
additional effects must be added. For the best-fit model, we use automated
techniques to detect the latitude-time profile of flux ropes and their
ejections over the full solar cycle. Overall, flux ropes are more prevalent
outside of active latitudes but those at active latitudes are more frequently
ejected. Future possibilities for space-weather prediction with this approach
are briefly assessed.


title: Link-disorder fluctuation effects on synchronization in random networks

abstract:
  We consider one typical system of oscillators coupled through disordered link
configurations in networks, i.e., a finite population of coupled phase
oscillators with distributed intrinsic frequencies on a random network. We
investigate collective synchronization behavior, paying particular attention to
link-disorder fluctuation effects on the synchronization transition and its
finite-size scaling (FSS). Extensive numerical simulations as well as the
mean-field analysis have been performed. We find that link-disorder
fluctuations effectively induce {\em uncorrelated random} fluctuations in
frequency, resulting in the FSS exponent $\bar\nu=5/2$, which is identical to
that in the globally coupled case (no link disorder) with frequency-disorder
fluctuations.


title: Dependence Logic with Generalized Quantifiers: Axiomatizations

abstract:
  We prove two completeness results, one for the extension of dependence logic
by a monotone generalized quantifier Q with weak interpretation, weak in the
meaning that the interpretation of Q varies with the structures. The second
result considers the extension of dependence logic where Q is interpreted as
"there exists uncountable many." Both of the axiomatizations are shown to be
sound and complete for FO(Q) consequences.


title:
Representations of bounded distributive lattices as the continuous
  sections of Sheaves based on the Priestly and Zarski topologies

abstract:
  Using Sheaf duality theory of Comer for cylindric algebras, we give a
representation theorem of of distributive bounded lattices expanded by
modalities (functions distributing over joins) as the continuous sections of
sheaves. Our representation is defined via a contravariant functor. We give
applications to many-valued logics logics and various modifications of first
order logic and multi-modal logic, set in an algebraic framework.


title: Gauge theory and string topology

abstract:
  Given a principal bundle over a closed manifold, G --> P --> M, let P^{Ad}
--> M be the associated adjoint bundle. Gruher and Salvatore showed that the
Thom spectrum (P^{Ad})^{-TM} is a ring spectrum whose corresponding product in
homology is a Chas-Sullivan type string topology product. We refer to this
spectrum as the `string topology spectrum of P", S (P). In the universal case
when P is contractible, S(P) is equivalent to LM^{-TM} where LM is the free
loop space of the manifold. This ring spectrum was introduced by the authors as
a homotopy theoretic realization of the Chas-Sullivan string topology of M. The
main purpose of this paper is to introduce an action of the gauge group of the
principal bundle, G (P) on the string topology spectrum S(P), and to study this
action in detail. Indeed we study the entire group of units and the induced
representation G(P) --> GL_1(S (P)). We show that this group of units is the
group of homotopy automorphisms of the fiberwise suspension spectrum of P. More
generally we describe the homotopy type of the group of homotopy automorphisms
of any E-line bundle for any ring spectrum E. We import some of the basic ideas
of gauge theory, such as the action of the gauge group on the space of
connections to the setting of E-line bundles over a manifold, and do explicit
calculations. We end by discussing a functorial perspective, which describes a
sense in which the string topology spectrum S(P) of a principal bundle is the
"linearization" of the gauge group G(P).


title: The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8

abstract:
  Extending results of arXiv:1112.3984, we show that all rank 1 N=2 SCFT's in
the sequence H_1, H_2, D_4 E_6, E_7, E_8 have canonical finite BPS chambers
containing precisely 2 h(F)=12(Delta-1) hypermultiplets. The BPS spectrum of
the canonical BPS chambers saturates the conformal central charge c, and
satisfies some intriguing numerology.


title: Spectra of absolute instruments from the WKB approximation

abstract:
  We calculate frequency spectra of absolute optical instruments using the WKB
approximation. The resulting eigenfrequencies approximate the actual values
very accurately, in some cases they even give the exact values. Our
calculations confirm results obtained previously by a completely different
method. In particular, the eigenfrequencies of absolute instruments form tight
groups that are almost equidistantly spaced. We demonstrate our method and its
results on several examples.


title:
The Gr\"unwald-Letnikov fractional-order derivative with fixed memory
  length

abstract:
  Contrary to integer order derivative, the fractional-order derivative of a
non-constant periodic function is not a periodic function with the same period,
as a consequence of this property the time-invariant fractional order system
does not have any non-constant periodic solution unless the lower terminal of
the derivative is plus or minus infinite, which is not practical. This property
limits the applicability areas of fractional derivatives and makes it
unfavorable, for a wide range of periodic real phenomena. Therefore enlarging
the applicability of fractional system to such real area is an important
research topic. In this paper we give a solution for the above problem by
imposing a simple modification on the Gr\"unwald-Letnikov definition of
fractional derivative, this modification consists of fixing the memory length
and varying the lower terminal of the derivative. It is shown that the new
proposed definition of fractional derivative preserves the periodicity.


title:
HEER: Hybrid Energy Efficient Reactive Protocol for Wireless Sensor
  Networks

abstract:
  Wireless Sensor Networks (WSNs) consist of numerous sensors which send sensed
data to base station. Energy conservation is an important issue for sensor
nodes as they have limited power.Many routing protocols have been proposed
earlier for energy efficiency of both homogeneous and heterogeneous
environments. We can prolong our stability and network lifetime by reducing our
energy consumption. In this research paper, we propose a protocol designed for
the characteristics of a reactive homogeneous WSNs, HEER (Hybrid Energy
Efficient Reactive) protocol. In HEER, Cluster Head(CH) selection is based on
the ratio of residual energy of node and average energy of network. Moreover,
to conserve more energy, we introduce Hard Threshold (HT) and Soft Threshold
(ST). Finally, simulations show that our protocol has not only prolonged the
network lifetime but also significantly increased stability period.


title:
Round fold maps and the topologies and the differentiable structures of
  manifolds admitting explicit ones

abstract:
  Stable fold maps are fundamental tools in a generalization of the theory of
Morse functions on smooth manifolds
  and its application to studies of geometric properties of smooth manifolds.
Round fold maps were introduced as stable fold
  maps such that the sets of all of the singular values of them are concentric
spheres by the author
  in 2013-4. Topological properties of such maps and topological information of
their source manifolds such as homology
  and homotopy groups have been studied under appropriate conditions by the
author.
  In this paper, we redefine round fold maps respecting the definition. As more
precise information of manifolds admitting round fold maps, we study the
topologies and differentiable structures of manifolds admitting such maps under
appropriate differential topological conditions.


title: On complete representability of Pinter's algebras and related structures

abstract:
  We answer an implicit question of Ian Hodkinson's. We show that atomic
Pinters algebras may not be completely representable, however the class of
completely representable Pinters algebras is elementary and finitely
axiomatizable. We obtain analagous results for infinite dimensions (replacing
finite axiomatizability by finite schema axiomatizability). We show that the
class of subdirect products of set algebras is a canonical variety that is
locally finite only for finite dimensions, and has the superamalgamation
property; the latter for all dimensions. However, the algebras we deal with are
expansions of Pinter algebras with substitutions corresponding to
tranpositions. It is true that this makes the a lot of the problems addressed
harder, but this is an acet, not a liability. Futhermore, the results for
Pinter's algebras readily follow by just discarding the substitution operations
corresponding to transpostions. Finally, we show that the multi-dimensional
modal logic corresponding to finite dimensional algebras have an $NP$-complete
satisfiability problem.


title: Disjunctive Logic Programs versus Normal Logic Programs

abstract:
  This paper focuses on the expressive power of disjunctive and normal logic
programs under the stable model semantics over finite, infinite, or arbitrary
structures. A translation from disjunctive logic programs into normal logic
programs is proposed and then proved to be sound over infinite structures. The
equivalence of expressive power of two kinds of logic programs over arbitrary
structures is shown to coincide with that over finite structures, and coincide
with whether or not NP is closed under complement. Over finite structures, the
intranslatability from disjunctive logic programs to normal logic programs is
also proved if arities of auxiliary predicates and functions are bounded in a
certain way.


title:
Computational evaluation of convection schemes in fluid dynamics
  problems

abstract:
  This article provides a computational evaluation of the popular high
resolution upwind WACEB, CUBISTA and ADBQUICKEST schemes for solving non-linear
fluid dynamics problems. By using the finite difference methodology, the
schemes are analyzed and implemented in the context of normalized variables of
Leonard. In order to access the performance of the schemes, Riemann problems
for 1D Burgers, Euler and shallow water equations are considered. From the
numerical results, the schemes are ranked according to their performance in
solving these non-linear equations. The best scheme is then applied in the
numerical simulation of tridimensional incompressible moving free surface
flows.


title: Extinction time for a random walk in a random environment

abstract:
  We consider a random walk with death in $[-N,N]$ moving in a time dependent
environment. The environment is a system of particles which describes a current
flux from $N$ to $-N$. Its evolution is influenced by the presence of the
random walk and in turn it affects the jump rates of the random walk in a
neighborhood of the endpoints, determining also the rate for the random walk to
die. We prove an upper bound (uniform in $N$) for the survival probability up
to time $t$ which goes as $c\exp\{-bN^{-2}t\}$, with $c$ and $b$ positive
constants.


title: Instability of colliding metastable strings

abstract:
  The breaking of $U(1)_R$ symmetry plays a crucial role in modeling the
breaking of supersymmetry (SUSY). In the models that possess both SUSY
preserving and SUSY breaking vacua, tube-like cosmic strings called R-tubes,
whose surfaces are constituted by domain walls interpolating a false and a true
vacuum with some winding numbers, can exist. Their (in)stability can strongly
constrain SUSY breaking models theirselves. In the present study, we
investigate the dynamical (in)stability of two colliding metastable tube-like
strings by field-theoretic simulations. From them, we find that the strings
become unstable, depending on the relative collision angle and speed of two
strings, and the false vacuum is eventually filled out by the true vacuum owing
to rapid expansion of the strings or unstable bubbles created as remnants of
the collision.


title: Exponential rate of convergence in current reservoirs

abstract:
  In this paper, we consider a family of interacting particle systems on
$[-N,N]$ that arises as a natural model for current reservoirs and Fick's law.
We study the exponential rate of convergence to the stationary measure, which
we prove to be of the order $N^{-2}$.


title:
Singular and fractional integral operators with variable kernels on the
  weak Hardy spaces

abstract:
  In this paper, by using the decomposition theorem for weak Hardy spaces, we
will obtain the boundedness properties of some integral operators with variable
kernels on these spaces, under some Dini type conditions imposed on the
variable kernel $\Omega(x,z)$.


title: Two-time free energy distribution function in (1+1) directed polymers

abstract:
  The explicit expression for the two-time free energy distribution function in
one-dimensional directed polymers in random potential is derived in terms of
the Bethe ansatz replica technique by mapping the replicated problem to the
$N$-particle quantum boson system with attractive interactions.


title: The case for caution in predicting scientists' future impact

abstract:
  We stress-test the career predictability model proposed by Acuna et al.
[Nature 489, 201-202 2012] by applying their model to a longitudinal career
data set of 100 Assistant professors in physics, two from each of the top 50
physics departments in the US. The Acuna model claims to predict h(t+\Delta t),
a scientist's h-index \Delta t years into the future, using a linear
combination of 5 cumulative career measures taken at career age t. Here we
investigate how the "predictability" depends on the aggregation of career data
across multiple age cohorts. We confirm that the Acuna model does a respectable
job of predicting h(t+\Delta t) up to roughly 6 years into the future when
aggregating all age cohorts together. However, when calculated using subsets of
specific age cohorts (e.g. using data for only t=3), we find that the model's
predictive power significantly decreases, especially when applied to early
career years. For young careers, the model does a much worse job of predicting
future impact, and hence, exposes a serious limitation. The limitation is
particularly concerning as early career decisions make up a significant
portion, if not the majority, of cases where quantitative approaches are likely
to be applied.


title:
Order parameter, correlation functions and fidelity susceptibility for
  the BCS model in the thermodynamic limit

abstract:
  The exact ground state of the reduced BCS Hamiltonian is investigated
numerically for large system sizes and compared with the BCS ansatz. A
"canonical'' order parameter is found to be equal to the largest eigenvalue of
Yang's reduced density matrix in the thermodynamic limit. Moreover, the
limiting values of the exact analysis agree with those obtained for the BCS
ground state. Exact results for the ground state energy, level occupations and
a pseudospin-pseudospin correlation function are also found to converge to the
BCS values already for relatively small system sizes. However, discrepancies
persist for a pair-pair correlation function, for inter-level correlations of
occupancies and for the fidelity susceptibility, even for large system sizes
where these quantities have visibly converged to well-defined limits. Our
results indicate that there exist non-perturbative corrections to the BCS
predictions in the thermodynamic limit.


title: Pseudo magnetic field in strained graphene: revisited

abstract:
  We revisit the theory of the pseudo magnetic field as induced by strain in
graphene using the tight-binding approach. A systematic expansion of the
hopping parameter and the deformation of the lattice vectors is presented from
which we obtain an expression for the pseudo magnetic field for low energy
electrons. We generalize and discuss previous results and propose a novel
effective Hamiltonian. The contributions of the different terms to the pseudo
magnetic field expression is investigated for a model triaxial strain profile
and are compared with the full solution. Our work suggests that the previous
proposed pseudo magnetic field expression is valid up to reasonably high strain
15 % and there is no K-dependent pseudo-magnetic field.


title: Moment Measures

abstract:
  With any convex function F on a finite-dimensional linear space X such that F
goes to infinity at infinity, we associate a Borel measure on the dual space
X*. This measure is obtained by pushing forward the measure exp(-F(x))dx under
the differential of F. We propose a class of convex functions - the
essentially-continuous, convex functions - for which the above correspondence
is in fact a bijection onto the class of finite Borel measures whose barycenter
is at the origin and whose support linearly spans the entire space X*. The
construction is related to toric Kahler-Einstein metrics in complex geometry,
to Pr\'ekopa's inequality, and to the Minkowski problem in convex geometry.


title:
Suppression of surface p-wave superconductivity in disordered
  topological insulators

abstract:
  The paper proposes a self-consistent Green function description of the
induced surface superconductivity in a disordered three-dimensional topological
insulator (TI) coupled to an s-wave superconductor. We recover earlier results
regarding the induced spin-triplet p-wave pairing, showing that a mixture of p-
and s-wave pair correlations appears as a result of broken spin-rotation
symmetry on the helical surface of the TI. Unlike the s-wave pairing, the
p-wave component is found to be suppressed in dirty TIs in which the elastic
mean-free path is much smaller than the superconducting coherence length. The
suppression is due to the generic nonlocality of the spin-triplet correlations,
which makes them strongly dependent on the mean-free path in a disordered
system. In dirty TIs the induced superconductivity is predicted to be
predominantly s-wave like. In cleaner TIs, however, the p-wave component may
reach a magnitude comparable with (but not larger than) the s-wave pairing.


title:
Age-specific contacts and travel patterns in the spatial spread of 2009
  H1N1 influenza pandemic

abstract:
  Confirmed cases during the early stage of the 2009 H1N1 pdm in various
countries showed an age shift between importations and local transmission
cases, with adults mainly responsible for seeding unaffected regions and
children most frequently driving community outbreaks. We introduce a multi-host
stochastic metapopulation model with two age classes to analytically address
the role of a heterogeneously mixing population and its associated
non-homogeneous travel behaviors on the risk of a major epidemic. We inform the
model with statistics on demography, mixing and travel behavior for Europe and
Mexico, and calibrate it to the 2009 H1N1 pdm early outbreak. We varied model
parameters to explore the invasion conditions under different scenarios. We
derive the expression for the global invasion potential of the epidemic that
depends on disease transmissibility, transportation network and mobility
features, demographic profile and mixing pattern. Highly assortative mixing
favor the spatial containment of the epidemic, this effect being contrasted by
an increase in the social activity of adults vs. children. Heterogeneity of the
mobility network topology and traffic flows strongly favor the disease
invasion, as also a larger fraction of children traveling. Variations in the
demography and mixing habits across countries lead to heterogeneous outbreak
situations. Results are compatible with the H1N1 spatial spread observed. The
work illustrates the importance of age-dependent mixing profiles and mobility
features in the study of the conditions for the spatial invasion of an emerging
influenza pandemic. Its results allow the immediate assessment of the risk of a
major epidemic for a specific scenario upon availability of data, and the
evaluation of the effectiveness of public health interventions targeting
specific age groups, their interactions and mobility behaviors.


title: Graphene-based nanodynamometer

abstract:
  A new concept of an electromechanical nanodynamometer based on the relative
displacement of layers of bilayer graphene is proposed. In this
nanodynamometer, force acting on one of the graphene layers causes the relative
displacement of this layer and related change of conductance between the
layers. Such a force can be determined by measurements of the tunneling
conductance between the layers. Dependences of the interlayer interaction
energy and the conductance between the graphene layers on their relative
position are calculated within the first-principles approach corrected for van
der Waals interactions and the Bardeen method, respectively. The
characteristics of the nanodynamometer are determined and its possible
applications are discussed.


title: Irreducibility properties of Keller maps

abstract:
  Jedrzejewicz showed that a polynomial map over a field of characteristic zero
is invertible, if and only if the corresponding endomorphism maps irreducible
polynomials to irreducible polynomials. Furthermore, he showed that a
polynomial map over a field of characteristic zero is a Keller map, if and only
if the corresponding endomorphism maps irreducible polynomials to square-free
polynomials. We show that the latter endomorphism maps other square-free
polynomials to square-free polynomials as well.
  In connection with the above classification of invertible polynomial maps and
the Jacobian Conjecture, we study irreducible properties of several types of
Keller maps, to each of which the Jacobian Conjecture can be reduced. Herewith,
we generalize the result of Bakalarski, that the components of cubic
homogeneous Keller maps with a symmetric Jacobian matrix (over C and hence any
field of characteristic zero) are irreducible.
  Furthermore, we show that the Jacobian Conjecture can even be reduced to any
of these types with the extra condition that each affinely linear combination
of the components of the polynomial map is irreducible. This is somewhat
similar to reducing the planar Jacobian Conjecture to the so-called (planar)
weak Jacobian Conjecture by Kaliman.


title:
ACH: Away Cluster Heads Scheme for Energy Efficient Clustering Protocols
  in WSNs

abstract:
  This paper deals with the routing protocols for distributed wireless sensor
networks. The conventional protocols for WSNs like Low Energy adaptive
Clustering Hierarchy (LEACH), Stable Election Protocol (SEP), Threshold
Sensitive Energy Efficient Network (TEEN), Distributed Energy Efficient
Clustering Protocol (DEEC) may not be optimal. We propose a scheme called Away
Cluster Head (ACH) which effectively increases the efficiency of conventional
clustering based protocols in terms of stability period and number of packets
sent to base station (BS). We have implemented ACH scheme on LEACH, SEP, TEEN
and DEEC. Simulation results show that LEACHACH, SEP-ACH, TEEN-ACH and DEEC-ACH
performs better than LEACH, SEP, TEEN and DEEC respectively in terms of
stability period and number of packets sent to BS. The stability period of the
existing protocols prolongs by implementing ACH on them.


title: The Higgs boson

abstract:
  The Higgs boson was predicted in 1964 by British physicist Peter Higgs. The
Higgs is the key to explain the origin of the mass of other elementary
particles of Nature. However, only with the coming into operation of the LHC,
in 2008, there were technological conditions to search for the Higgs boson.
Recently, a major international effort conducted at CERN, by means of ATLAS and
CMS experiments, has enabled the observation of a new bosonic particle in the
region of 125 GeVs. In this paper, by means of known mechanisms of symmetry
breaking that occur in the BCS theory of superconductivity and in the theory of
nuclear pairing, we discuss the Higgs mechanism in the Standard Model. Finally,
we present the current state of research looking for the Higgs boson and the
alternative theories and extensions of the Standard Model for the elementary
particle physics.
  Keywords: Higgs boson, BCS theory, nuclear pairing, Higgs mechanism, Standard
Model.


title:
A Novel Network Coded Parallel Transmission Framework for High-Speed
  Ethernet

abstract:
  Parallel transmission, as defined in high-speed Ethernet standards, enables
to use less expensive optoelectronics and offers backwards compatibility with
legacy Optical Transport Network (OTN) infrastructure. However, optimal
parallel transmission does not scale to large networks, as it requires
computationally expensive multipath routing algorithms to minimize differential
delay, and thus the required buffer size, optimize traffic splitting ratio, and
ensure frame synchronization. In this paper, we propose a novel framework for
high-speed Ethernet, which we refer to as network coded parallel transmission,
capable of effective buffer management and frame synchronization without the
need for complex multipath algorithms in the OTN layer. We show that using
network coding can reduce the delay caused by packet reordering at the
receiver, thus requiring a smaller overall buffer size, while improving the
network throughput. We design the framework in full compliance with high-speed
Ethernet standards specified in IEEE802.3ba and present solutions for network
encoding, data structure of coded parallel transmission, buffer management and
decoding at the receiver side. The proposed network coded parallel transmission
framework is simple to implement and represents a potential major breakthrough
in the system design of future high-speed Ethernet.


title: Nonequilibrium Kondo transport through a quantum dot in a magnetic field

abstract:
  We analyze universal transport properties of a strongly interacting quantum
dot in the Kondo regime when the quantum dot is placed in an external magnetic
field. The quantum dot is described by the asymmetric Anderson model with the
spin degeneracy removed by the magnetic field resulting in the Zeeman
splitting. Using an analytical expression for the tunneling density of states
found from a Keldysh effective field theory, we obtain in the whole energy
range the universal differential conductance and analytically demonstrate its
Fermi-liquid and logarithmic behavior at low- and high-energies, respectively,
as a function of the magnetic field. We also show results on the zero
temperature differential conductance as a function of the bias voltage at
different magnetic fields as well as results on finite temperature effects out
of equilibrium and at a finite magnetic field. The modern nonequilibrium
experimental issues of the critical magnetic field, at which the zero bias
maximum of the differential conductance starts to split into two maxima, as
well as the distance between these maxima as a function of the magnetic field
are also addressed.


title:
Millimeter-wave surface impedance of optimally-doped Ba(Fe1-xCox)2As2
  single crystals

abstract:
  Precision measurements of active and reactive components of in-plane
microwave surface impedance were performed in single crystals of
optimally-doped Fe-based superconductor Ba(Fe1-xCox)2As2 (x = 0.074, Tc = 22.8
K). Measurements in a millimeter wavelength range (Ka band, 35-40 GHz) were
performed using whispering gallery mode excitations in the ultrahigh quality
factor quasioptical sapphire disk resonator with YBa2Cu2O7 superconducting (Tc
= 90 K) end plates. The temperature variation of the London penetration depth
is best described by a power-law function, delta {\lambda}(T) is proportional
to T with the exponent n, n = 2.8, in reasonable agreement with radio-frequency
measurements on crystals of the same batch. This power-law dependence is
characteristic of a nodeless superconducting gap in the extended s-wave pairing
scenario with a strong pair-breaking scattering. The quasiparticle conductivity
of the samples, {\sigma}1(T), gradually increases with the decrease of
temperature, showing no peak below or at Tc, in notable contrast with the
behavior found in the cuprates. The temperature-dependent quasiparticle
scattering rate was analyzed in a two-fluid model, assuming the validity of the
Drude description of conductivity and generalized expression for the scattering
rate. This analysis allows us to estimate the range of the values of a residual
surface resistance from 3 to 6 mOhm.


title:
Event management for large scale event-driven digital hardware spiking
  neural networks

abstract:
  The interest in brain-like computation has led to the design of a plethora of
innovative neuromorphic systems. Individually, spiking neural networks (SNNs),
event-driven simulation and digital hardware neuromorphic systems get a lot of
attention. Despite the popularity of event-driven SNNs in software, very few
digital hardware architectures are found. This is because existing hardware
solutions for event management scale badly with the number of events. This
paper introduces the structured heap queue, a pipelined digital hardware data
structure, and demonstrates its suitability for event management. The
structured heap queue scales gracefully with the number of events, allowing the
efficient implementation of large scale digital hardware event-driven SNNs. The
scaling is linear for memory, logarithmic for logic resources and constant for
processing time. The use of the structured heap queue is demonstrated on
field-programmable gate array (FPGA) with an image segmentation experiment and
a SNN of 65~536 neurons and 513~184 synapses. Events can be processed at the
rate of 1 every 7 clock cycles and a 406$\times$158 pixel image is segmented in
200 ms.


title:
Elementary analysis of galaxy clusters: similarity criteria,
  Tully-Fischer, and approximate invariants

abstract:
  At observations of galaxy clusters luminosity L, size R, mass M, temperature
T$_e$, sometimes velocities are usually measured. These four quantities and the
gravity constant G are determined by three measurements units: mass M, length L
and time T. Therefore one can form two non-dimensional similarity criteria:
$\Pi_1$ and $\Pi_2$. Any chosen observable can be formed as a function of the
other three ones. The author has at hand the data by Vikhlinin (2002) and
Vikhlinin et al. (2006), rather more complete than any other. This material
consists of more than thirty clusters at 0.4 $\le$ z < 1.26 and z $\le$ 0. This
material gives a possibility to test the derived dimensional relationships and
to determine the dimensionless numerical coefficients at them. These
coefficients are found with a scatter less than 30 per cent in the data above
and could be considered as other similarity criteria but functions of $\Pi_1$
and $\Pi_2$. With this scatter they may be called approximate invariants. The
luminosity L and universal constant G are forming the dynamical velocity scale
U$_d$, which immediately explains the empirical Tully-Fisher law. The
temperature T$_e$ determines the thermal velocity of the gas plasma particles
U$_T$. The ratio U$_d$/ U$_T$= $\Pi_1$ is used here as a new similarity
criterium which is found to be constant within six per cent for nearly 30
objects cited above: $\Pi_1$=0.163$\pm$0.009 and may be interpreted as the Mach
number. The other criterium $\Pi_2 is the virial one. It is found to be a
function of the cluster age. At z>0.5 the mean cluster mass is five times less,
that at small z $\le$0.2. It is demanding to expand these results to other
clusters and different objects: singular galaxies, stars and their clouds, etc.


title: Silicon-on-insulator integrated source of polarization-entangled photons

abstract:
  We report the experimental generation of polarization-entangled photons at
telecommunication wavelengths using spontaneous four-wave mixing in
silicon-on-insulator wire waveguides. The key component is a 2D coupler that
transforms path entanglement into polarization entanglement at the output of
the device. Using quantum state tomography we find that the produced state has
fidelity 88% with a pure non-maximally entangled state. The produced state
violates the CHSH Bell inequality by S=2.37\pm0.19.


title:
Self-improvement of the Bakry-\'Emery condition and Wasserstein
  contraction of the heat flow in RCD(K,\infty) metric measure spaces

abstract:
  We prove that the linear heat flow in a RCD(K,\infty) metric measure space
(X,d,m) satisfies a contraction property with respect to every
L^p-Kantorovich-Rubinstein-Wasserstein distance. In particular, we obtain a
precise estimate for the optimal W_\infty-coupling between two fundamental
solutions in terms of the distance of the initial points.
  The result is a consequence of the equivalence between the RCD(K,\infty)
lower Ricci bound and the corresponding Bakry-\'Emery condition for the
canonical Cheeger-Dirichlet form in (X,d,m). The crucial tool is the extension
to the non-smooth metric measure setting of the Bakry's argument, that allows
to improve the commutation estimates between the Markov semigroup and the
Carr\'e du Champ associated to the Dirichlet form. This extension is based on a
new a priori estimate and a capacitary argument for regular and tight Dirichlet
forms that are of independent interest.


title:
Special features in the asymptotic expression of the electromagnetic
  spectrum from dipole which free fall into a Schwarzschild black hole

abstract:
  The characteristic features were found in the electromagnetic spectrum of
radiation from free falling dipole, when it is fall radially into a
Schwarzschild black hole. These features can be used as another method for the
black hole mass determinating. Also, these features can be used for the
determination some characteristics of the magnetosphere or the accretion disk
around the black hole.


title: Fluxon readout of a superconducting qubit

abstract:
  Quantum computing using superconducting circuits underwent rapid development
in the last decade. This field has propelled from quantum manipulation of
single two-level systems to complex designs employing multiple coupled qubits
allowing one to execute simple quantum algorithms. On the way to a practical
quantum computer, a need for scalable interfaces between classical circuits and
the quantum counterparts has arisen. Low-temperature superconducting
single-flux quantum (SFQ) logic employs magnetic fluxons in Josephson
transmission lines (JTLs) as basic bits for classical computation. Here, we
report on an experiment implementing a direct link between SFQ electronics and
a superconducting qubit. We demonstrate a readout of the state of a flux qubit
through a frequency shift of a single fluxon oscillating in a JTL. The energy
spectrum of the flux qubit is measured using this technique. The demonstrated
approach may open ways to future full-scale integration of solid-state quantum
computers with digital SFQ electronics.


title: Decentralized Synchronization for Wireless Sensor Networks

abstract:
  Due to their heavy restrictions on the hardware side, Wireless Sensor
Networks (WSN) require specially adapted synchronization protocols to maximize
measurement precision and minimize computation efforts and energy costs. A
promising approach is given by the 'Firefly Protocol'. Inspired by the behavior
of fireflies it is intrinsically robust, specific to the wireless broadcast
nature of WSNs and promises high precision. So far only theoretically
evaluated, this thesis implements the 'Firefly Protocol' on a system of MICAz
Berkeley motes using TinyOS 2.x. In order to implement the theoretical
framework on actual hardware, several adaptations were made to compensate
hardware delays. Although Berkeley motes have the advantage of being readily
available and highly flexible, they bear many delay sources which have to be
addressed. In small networks, the protocol was found to deliver precisions up
to three microseconds over one hop.


title:
$^2$H$(e,e'p)$ observables using a Regge model parameterization of final
  state interactions

abstract:
  In previous papers we have presented a calculation describing
electrodisintegration of the deuteron at GeV energies. The model is fully
relativistic and incorporates full spin dependence of the final state
interactions (FSI), which were obtained from the SAID analysis. It was,
however, limited kinematically due to lack of availability of the SAID
amplitudes. This work rectifies this problem by implementing a Regge model to
describe the FSI. We present an outline of the model and show comparisons
between the two approaches in a region of overlap. We see good agreement
between the models, and note observables which can provide additional insight
due to model sensitivity.


title: On multi-dimensional sampling and interpolation

abstract:
  The paper discusses sharp sufficient conditions for interpolation and
sampling for functions of n variables with convex spectrum. When n=1, the
classical theorems of Ingham and Beurling state that the critical values in the
estimates from above (from below) for the distances between interpolation
(sampling) nodes are the same. This is no longer true for n>1. While the
critical value for sampling sets remains constant, the one for interpolation
grows linearly with the dimension.


title: Approximation of discrete functions and size of spectrum

abstract:
  Let $\Lambda$ be a uniformly discrete set and $S$ be a compact set in $R$. We
prove that if there exists a bounded sequence of functions in Paley--Wiener
space $PW_S$, which approximates $\delta-$functions on $\Lambda$ with
$l^2-$error $d$, then measure($S$)$\geq 2\pi(1 - d^2)D^+(\Lambda)$. This
estimate is sharp for every $d$. Analogous estimate holds when the norms of
approximating functions have a moderate growth, and we find a sharp growth
restriction.


title: Lower bounds for Kolmogorov widths of classes of Poisson integrals

abstract:
  We expand the ranges of permissible values of $n$ ($n\in\mathbb{N}$) for
which Poisson kernels
$P_{q,\beta}(t)=\sum\limits_{k=1}^{\infty}q^k\cos\left(kt-\dfrac{\beta\pi}{2}\right)$,
${q\in(0,1)}$, $\beta\in\mathbb{R}$, satisfy Kushpel's condition $C_{y,2n}$. As
a consequence, we obtain exact values for Kolmogorov widths in the space $C$
($L$) of classes $C_{\beta,\infty}^q$ ($C_{\beta,1}^q$) of Poisson integrals
generated by kernels $P_{q,\beta}(t)$ in new situations. It is shown that
obtained here results we can't obtain by using methods of finding of exact
lower bounds for widths suggested by A. Pinkus.


title:
Effects of anchored flexible polymers on mechanical properties of model
  biomembranes

abstract:
  We have studied biomembranes with grafted polymer chains using a
coarse-grained membrane simulation, where a meshless membrane model is combined
with polymer chains. We focus on the polymer-induced entropic effects on
mechanical properties of membranes. The spontaneous curvature and bending
rigidity of the membranes increase with increasing polymer density. Our
simulation results agree with the previous theoretical predictions.


title: Elementary excitations of a Higgs-Yukawa system

abstract:
  This work investigates the physics of elementary excitations for the
so-called relativistic quantum scalar plasma system, also known as the
Higgs-Yukawa system. Following the Nemes-Piza-Kerman-Lin many-body procedure,
the Random-Phase Approximation (RPA) equations were obtained for this model by
linearizing the Time-Dependent Hartree-Fock-Bogoliubov equations of motion
around equilibrium. The resulting equations have a closed solution, from which
the spectrum of excitation modes are studied. We show that the RPA oscillatory
modes give the one-boson and two-fermion states of the theory. The results
indicate the existence of bound states in certain regions in the phase diagram.
Applying these results to recent LHC observations concerning the mass of the
Higgs boson, we determine limits for the intensity of the coupling constant g
of the Higgs-Yukawa model, in the RPA mean-field approximation, for three decay
channels of the Higgs boson. Finally, we verify that, within our
approximations, only Higgs bosons with masses larger than 190 GeV/c^2 can decay
into top quarks.


title: Ulrich Bundles on Quartic Surfaces with Picard Number 1

abstract:
  In this note, we prove that there exist stable Ulrich bundles of every even
rank on a smooth quartic surface $X \subset \mathbb{P}^3$ with Picard number 1.


title: Resonant valley filtering of massive Dirac electrons

abstract:
  Electrons in graphene, in addition to their spin, have two pseudospin degrees
of freedom: sublattice and valley pseudospin. Valleytronics uses the valley
degree of freedom as a carrier of information similar to the way spintronics
uses electron spin. We show how a double barrier structure consisting of
electric and vector potentials can be used to filter massive Dirac electrons
based on their valley index. We study the resonant transmission through a
finite number of barriers and we obtain the energy spectrum of a superlattice
consisting of electric and vector potentials. When a mass term is included the
energy bands and energy gaps at the K and K' points are different and they can
be tuned by changing the potential.


title:
Constrains for non-standard statistical models of particle creations by
  identified hadron multiplicity results at LHC energies

abstract:
  We analysed the identified hadron multiplicity predictions of the modified
thermodynamical model of the multiparticle production processes with
non-extensive statistic. The replacement of the standard Boltzmann exponential
factor by the eventually much slower falling Tsallis one is suggested by the
analysis of the transverse momentum distributions measured at high energies.
The increase of high transverse momenta should accord with the abundance of
heavy secondary particles, in particular multistrange barions. The introduction
to the thermodynamical model of suppression factors similar to the ones in a
quark jet fragmentation models is discussed.


title:
Estimates for rough Fourier integral and pseudodifferential operators
  and applications to the boundedness of multilinear operators

abstract:
  We study the boundedness of rough Fourier integral and pseudodifferential
operators, defined by general rough H\"ormander class amplitudes, on Banach and
quasi-Banach $L^p$ spaces. Thereafter we apply the aforementioned boundedness
in order to improve on some of the existing boundedness results for H\"ormander
class bilinear pseudodifferential operators and certain classes of bilinear (as
well as multilinear) Fourier integral operators. For these classes of
amplitudes, the boundedness of the aforementioned Fourier integral operators
turn out to be sharp. Furthermore we also obtain results for rough multilinear
operators.


title: A Survey of Astronomical Research: An Astronomy for Development Baseline

abstract:
  Measuring scientific development is a difficult task. Different metrics have
been put forward to evaluate scientific development; in this paper we explore a
metric that uses the number of peer-reviewed, and when available
non-peer-reviewed articles, research research articles as an indicator of
development in the field of astronomy. We analyzed the available publication
record, using the SAO/NASA Astrophysics Database System, by country affiliation
in the time span between 1950 and 2011 for countries with a Gross National
Income of less than 14,365 USD in 2010. This represents 149 countries. We
propose that this metric identifies countries in `astronomy development' with a
culture of research publishing. We also propose that for a country to develop
astronomy it should invest in outside expert visits, send their staff abroad to
study and establish a culture of scientific publishing. Furthermore, we propose
that this paper may be used as a baseline to measure the success of major
international projects, such as the International Year of Astronomy 2009.


title:
Homogeneous bubble nucleation in water at negative pressure: A Voronoi
  polyhedra analysis

abstract:
  We investigate vapor bubble nucleation in metastable TIP4P/2005 water at
negative pressure via the Mean First Passage Time (MFPT) method using the
volume of the largest bubble as a local order parameter. We identify the
bubbles in the system by means of a Voronoi-based analysis of the Molecular
Dynamics trajectories. By comparing the features of the tessellation of liquid
water at ambient conditions to those of the same system with an empty cavity we
are able to discriminate vapor (or interfacial) molecules from the bulk ones.
This information is used to follow the time evolution of the largest bubble
until the system cavitates at 280 K above and below the spinodal line. At the
pressure above the spinodal line, the MFPT curve shows the expected shape for a
moderately metastable liquid from which we estimate the bubble nucleation rate
and the size of the critical cluster. The nucleation rate estimated using
Classical Nucleation Theory turns out to be about 8 order of magnitude lower
than the one we compute by means of MFPT. The behavior at the pressure below
the spinodal line, where the liquid is thermodynamically unstable, is
remarkably different, the MFPT curve being a monotonous function without any
inflection point.


title:
Some Considerations on Neutrinos and on the Measurement of their
  Velocity

abstract:
  In this report are recalled in a simple form some of the main concepts about
neutrinos, starting from their discovery and classifying them in the Standard
Model of the Microcosm. Then are presented the main natural sources of
neutrinos, emphasizing the enormous number of neutrinos in the Universe. Some
information on neutrinos produced by nuclear reactors and by particle
accelerators are then considered. In the second part is discussed the neutrino
beam sent from CERN to Gran Sasso and the measurement of their velocity
performed by the OPERA experiment, underlying some errors made, their
corrections, and the final results, which represent precision measurements.


title: Quantified Data Automata on Skinny Trees: an Abstract Domain for Lists

abstract:
  We propose a new approach to heap analysis through an abstract domain of
automata, called automatic shapes. The abstract domain uses a particular kind
of automata, called quantified data automata on skinny trees (QSDAs), that
allows to define universally quantified properties of singly-linked lists. To
ensure convergence of the abstract fixed-point computation, we introduce a
sub-class of QSDAs called elastic QSDAs, which also form an abstract domain. We
evaluate our approach on several list manipulating programs and we show that
the proposed domain is powerful enough to prove a large class of these programs
correct.


title: Ramanujan-type Congruences for Broken 2-Diamond Partitions Modulo 3

abstract:
  The notion of broken $k$-diamond partitions was introduced by Andrews and
Paule. Let $\Delta_k(n)$ denote the number of broken k-diamond partitions of
$n$. They also posed three conjectures on the congruences of $\Delta_2(n)$
modulo 2, 5 and 25. Hirschhorn and sellers proved the conjectures for modulo 2,
and Chan proved cases of modulo 5. For the case of modulo 3, Radu and Sellers
obtained an infinite family of congruences for $\Delta_2(n)$. In this paper, we
obtain two infinite families of congruences for $\Delta_2(n)$ modulo 3 based on
a formula of Radu and Sellers, the 3-dissection formula of the generating
function of triangular number due to Berndt, and the properties of the
$U$-operator, the $V$-operator, the Hecke operator and the Hecke eigenform. For
example, we find that $\Delta_2(243n+142)\equiv
\Delta_2(243n+223)\equiv0\pmod{3}$. The infinite family of Radu and Sellers and
the two infinite families derived in this paper have two congruences in common,
namely, $\Delta_2(27n+16)\equiv\Delta_2(27n+25)\equiv0 \pmod{3}$.


title: Graph Induced Complex on Point Data

abstract:
  The efficiency of extracting topological information from point data depends
largely on the complex that is built on top of the data points. From a
computational viewpoint, the most favored complexes for this purpose have so
far been Vietoris-Rips and witness complexes. While the Vietoris-Rips complex
is simple to compute and is a good vehicle for extracting topology of sampled
spaces, its size is huge--particularly in high dimensions. The witness complex
on the other hand enjoys a smaller size because of a subsampling, but fails to
capture the topology in high dimensions unless imposed with extra structures.
We investigate a complex called the {\em graph induced complex} that, to some
extent, enjoys the advantages of both. It works on a subsample but still
retains the power of capturing the topology as the Vietoris-Rips complex. It
only needs a graph connecting the original sample points from which it builds a
complex on the subsample thus taming the size considerably. We show that, using
the graph induced complex one can (i) infer the one dimensional homology of a
manifold from a very lean subsample, (ii) reconstruct a surface in three
dimension from a sparse subsample without computing Delaunay triangulations,
(iii) infer the persistent homology groups of compact sets from a sufficiently
dense sample. We provide experimental evidences in support of our theory.


title: Restriction results for multilinear multipliers on weighted settings

abstract:
  We obtain restriction results of K. de Leeuw's type for maximal operators
defined through multilinear Fourier multipliers of either strong or weak type
acting on weighted Lebesgue spaces. We give some application of our
development. In particular we obtain periodic weighted results for
Coifman-Meyer, H\"ormander and H\"ormander-Mihlin type multilinear multipliers.


title: Edge Contractions and Simplicial Homology

abstract:
  We study the effect of edge contractions on simplicial homology because these
contractions have turned to be useful in various applications involving
topology. It was observed previously that contracting edges that satisfy the so
called link condition preserves homeomorphism in low dimensional complexes, and
homotopy in general. But, checking the link condition involves computation in
all dimensions, and hence can be costly, especially in high dimensional
complexes. We define a weaker and more local condition called the p-link
condition for each dimension p, and study its effect on edge contractions. We
prove the following: (i) For homology groups, edges satisfying the p- and
(p-1)-link conditions can be contracted without disturbing the p-dimensional
homology group. (ii) For relative homology groups, the (p-1)-, and the
(p-2)-link conditions suffice to guarantee that the contraction does not
introduce any new class in any of the resulting relative homology groups,
though some of the existing classes can be destroyed. Unfortunately, the
surjection in relative homolgy groups does not guarantee that no new relative
torsion is created. (iii) For torsions, edges satisfying the p-link condition
alone can be contracted without creating any new relative torsion and the
p-link condition cannot be avoided. The results on relative homology and
relative torsion are motivated by recent results on computing optimal
homologous chains, which state that such problems can be solved by linear
programming if the complex has no relative torsion. Edge contractions that do
not introduce new relative torsions, can safely be availed in these contexts.


title: Anisotropic Hydrodynamics for Rapidly Expanding Systems

abstract:
  We exactly solve the relaxation-time approximation Boltzmann equation for a
system which is transversely homogeneous and undergoing boost-invariant
longitudinal expansion. We compare the resulting exact numerical solution with
approximate solutions available in the anisotropic hydrodynamics and second
order viscous hydrodynamics frameworks. In all cases studied, we find that the
anisotropic hydrodynamics framework is a better approximation to the exact
solution than traditional viscous hydrodynamical approaches.


title:
Separability and Hidden Symmetries of Kerr-Taub-NUT Spacetime in
  Kaluza-Klein Theory

abstract:
  The Kerr-Taub-NUT spacetime in the Kaluza-Klein theory represents a localized
stationary and axisymmetric object in four dimensions from the Kaluza-Klein
viewpoint. That is, it harbors companion electromagnetic and dilaton fields,
thereby showing up the signature of the extra fifth dimension. We explore the
separability structure of this spacetime and show that the Hamilton-Jacobi
equation for geodesics admits the complete separation of variables only for
massless geodesics. This implies the existence of the hidden symmetries in the
spacetime, which are generated by the conformal Killing tensor. Using a simple
trick built up on a conformally related metric (an "effective" metric) with the
Killing tensor, we construct the explicit expression for the conformal Killing
tensor.


title:
Classifying {\tau}-tilting modules over preprojective algebras of Dynkin
  type

abstract:
  We study support $\tau$-tilting modules over preprojective algebras of Dynkin
type. We classify basic support $\tau$-tilting modules by giving a bijection
with elements in the corresponding Weyl groups. Moreover we show that they are
in bijection with the set of torsion classes, the set of torsion-free classes
and other important objects in representation theory. We also study
$g$-matrices of support $\tau$-tilting modules, which show terms of minimal
projective presentations of indecomposable direct summands. We give an explicit
description of $g$-matrices and prove that cones given by $g$-matrices coincide
with chambers of the associated root systems.


title:
PHIBSS: molecular gas, extinction, star formation and kinematics in the
  z=1.5 star forming galaxy EGS13011166

abstract:
  We report matched resolution, imaging spectroscopy of the CO J=3-2 line (with
the IRAM Plateau de Bure millimeter interferometer) and of the H-alpha line
(with LUCI at the Large Binocular Telescope)in the massive z=1.53 main-sequence
galaxy EGS 13011166, as part of the "Plateau de Bure high-z, blue sequence
survey (PHIBSS). We combine these data with HST V-J-J-H-band maps to derive
spatially resolved distributions of stellar surface density, star formation
rate, molecular gas surface density, optical extinction and gas kinematics. The
spatial distribution and kinematics of the ionized and molecular gas are
remarkably similar and are well modeled by a turbulent, globally Toomre
unstable rotating disk. The stellar surface density distribution is smoother
than the clumpy rest-frame UV/optical light distribution, and peaks in an
obscured, star forming massive bulge near the dynamical center. The molecular
gas surface density and the effective optical screen extinction track each
other and are well modeled by a 'mixed' extinction model. The inferred slope of
the spatially resolved molecular gas to star formation rate relation depends
strongly on the adopted extinction model and can vary from 0.8 to 1.7. For the
preferred mixed dust-gas model we find a near linear slope.


title: Nonlocal spin correlations mediated by a superconductor

abstract:
  Nonlocal charge correlations induced in two normal metals contacted
separately to a supercon- ductor have been studied intensively in the past few
years. Here we investigate nonlocal correlations induced by the transfer of
pure spin currents through a superconductor on a scale comparable to the
superconducting coherence length. As with charge currents, two processes
contribute to the nonlocal spin signal: crossed Andreev reflection (CAR), where
an electron with spin up injected from one normal metal into the superconductor
results in a hole with spin down being injected into the second normal metal,
and elastic cotunneling (EC), where the electron with spin up injected from the
first normal metal results in an electron with spin up being injected into the
second normal metal. Unlike charge currents, however, the spin currents
associated with CAR and EC add due to the fact that the bulk superconductor
cannot sustain a net spin current.


title:
Prospects for Observing and Localizing Gravitational-Wave Transients
  with Advanced LIGO, Advanced Virgo and KAGRA

abstract:
  We present our current best estimate of the plausible observing scenarios for
the Advanced LIGO, Advanced Virgo and KAGRA gravitational-wave detectors over
the next several years, with the intention of providing information to
facilitate planning for multi-messenger astronomy with gravitational waves. We
estimate the sensitivity of the network to transient gravitational-wave signals
for the third (O3), fourth (O4) and fifth observing (O5) runs, including the
planned upgrades of the Advanced LIGO and Advanced Virgo detectors. We study
the capability of the network to determine the sky location of the source for
gravitational-wave signals from the inspiral of binary systems of compact
objects, that is BNS, NSBH, and BBH systems. The ability to localize the
sources is given as a sky-area probability, luminosity distance, and comoving
volume. The median sky localization area (90\% credible region) is expected to
be a few hundreds of square degrees for all types of binary systems during O3
with the Advanced LIGO and Virgo (HLV) network. The median sky localization
area will improve to a few tens of square degrees during O4 with the Advanced
LIGO, Virgo, and KAGRA (HLVK) network. We evaluate sensitivity and localization
expectations for unmodeled signal searches, including the search for
intermediate mass black hole binary mergers.


title: Search for a dark photon in the $\pi^0 \to e^+e^-\gamma$ decay

abstract:
  The presently world largest data sample of pi0 --> gamma e+e- decays
containing nearly 5E5 events was collected using the WASA detector at COSY. A
search for a dark photon U produced in the pi0 --> gamma U --> gamma e+e- decay
from the pp-->pp\pi^0 reaction was carried out. An upper limit on the square of
the U-gamma mixing strength parameter epsilon^2 of 5e-6 at 90% CL was obtained
for the mass range 20 MeV <M_U< 100 MeV. This result together with other recent
experimental limits significantly reduces the M_U vs. \epsilon^2 parameter
space preferred by the measured value of the muon anomalous magnetic moment.


title: Definition of Good Tetrads for f(T) Gravity

abstract:
  The importance of choosing suitable tetrads for the study of exact solutions
in f(T) gravity is discussed. For any given metric, we define the concept of
good tetrads as the tetrads satisfying the field equations without constrainig
the function f(T). Employing local Lorentz transformations, good tetrads in the
context of spherical symmetry are found for Schwarzschild-de Sitter solutions.


title:
On an asymptotic method for computing the modified energy for symplectic
  methods

abstract:
  We revisit an algorithm by Skeel et al. for computing the modified, or
shadow, energy associated with the symplectic discretization of Hamiltonian
systems. By rephrasing the algorithm as a Richardson extrapolation scheme
arbitrary high order of accuracy is obtained, and provided error estimates show
that it does capture the theoretical exponentially small drift associated with
such discretizations. Several numerical examples illustrate the theory.


title: ALMA Observations of the HH 46/47 Molecular Outflow

abstract:
  The morphology, kinematics and entrainment mechanism of the HH 46/47
molecular outflow were studied using new ALMA Cycle 0 observations. Results
show that the blue and red lobes are strikingly different. We argue that these
differences are partly due to contrasting ambient densities that result in
different wind components having a distinct effect on the entrained gas in each
lobe. A 29-point mosaic, covering the two lobes at an angular resolution of
about 3", detected outflow emission at much higher velocities than previous
observations, resulting in significantly higher estimates of the outflow
momentum and kinetic energy than previous studies of this source, using the
CO(1-0) line. The morphology and the kinematics of the gas in the blue lobe are
consistent with models of outflow entrainment by a wide-angle wind, and a
simple model describes the observed structures in the position-velocity diagram
and the velocity-integrated intensity maps. The red lobe exhibits a more
complex structure, and there is evidence that this lobe is entrained by a
wide-angle wind and a collimated episodic wind. Three major clumps along the
outflow axis show velocity distribution consistent with prompt entrainment by
different bow shocks formed by periodic mass ejection episodes which take place
every few hundred years. Position-velocity cuts perpendicular to the outflow
cavity show gradients where the velocity increases towards the outflow axis,
inconsistent with outflow rotation. Additionally, we find evidence for the
existence of a small outflow driven by a binary companion.


title: The Biconnection Variational Principle for General Relativity

abstract:
  A recently proposed variational approach for general relativity where, in
addition to the metric tensor, two independent affine connections enter the
action as dynamical variables, is revised. Field equations always reduce to the
Einstein field equations for any dependence of the matter action upon an
independent connection.


title: New Inequalities in Equilibrium Statistical Mechanics

abstract:
  Recently, new thermodynamic inequalities have been obtained, which set bounds
on the quadratic fluctuations of intensive observables of statistical
mechanical systems in terms of the Bogoliubov - Duhamel inner product and some
thermal average values. It was shown that several well-known inequalities in
equilibrium statistical mechanics emerge as special cases of these results. On
the basis of the spectral representation, lower and upper bounds on the
one-sided fidelity susceptibility were derived in analogous terms. Here, these
results are reviewed and presented in a unified manner. In addition, the
spectral representation of the symmetric two-sided fidelity susceptibility is
derived, and it is shown to coincide with the one-sided case. Therefore, both
definitions imply the same lower and upper bounds on the fidelity
susceptibility.


title:
A note on the maximum of the Riemann zeta function, and log-correlated
  random variables

abstract:
  In recent work, Fyodorov and Keating conjectured the maximum size of
$|\zeta(1/2+it)|$ in a typical interval of length O(1) on the critical line.
They did this by modelling the zeta function by the characteristic polynomial
of a random matrix; relating the random matrix problem to another problem from
statistical mechanics; and applying a heuristic analysis of that problem.
  In this note we recover a conjecture like that of Fyodorov and Keating, but
using a different model for $|\zeta(1/2+it)|$ in terms of a random Euler
product. In this case the probabilistic model reduces to studying the supremum
of Gaussian random variables with logarithmic correlations, and can be analysed
rigorously.


title:
Randomized Methods for Design of Uncertain Systems: Sample Complexity
  and Sequential Algorithms

abstract:
  In this paper, we study randomized methods for feedback design of uncertain
systems. The first contribution is to derive the sample complexity of various
constrained control problems. In particular, we show the key role played by the
binomial distribution and related tail inequalities, and compute the sample
complexity. This contribution significantly improves the existing results by
reducing the number of required samples in the randomized algorithm. These
results are then applied to the analysis of worst-case performance and design
with robust optimization. The second contribution of the paper is to introduce
a general class of sequential algorithms, denoted as Sequential Probabilistic
Validation (SPV). In these sequential algorithms, at each iteration, a
candidate solution is probabilistically validated, and corrected if necessary,
to meet the required specifications. The results we derive provide the sample
complexity which guarantees that the solutions obtained with SPV algorithms
meet some pre-specified probabilistic accuracy and confidence. The performance
of these algorithms is illustrated and compared with other existing methods
using a numerical example dealing with robust system identification.


title:
N-density representability and the optimal transport limit of the
  Hohenberg-Kohn functional

abstract:
  We derive and analyze a hierarchy of approximations to the strongly
correlated limit of the Hohenberg-Kohn functional. These "density
representability approximations" are obtained by first noting that in the
strongly correlated limit, N-representability of the pair density reduces to
the requirement that the pair density must come from a symmetric N-point
density. One then relaxes this requirement to the existence of a representing
symmetric k-point density with k < N. The approximate energy can be computed by
simulating a fictitious k-electron system. We investigate the approximations by
deriving analytically exact results for a 2-site model problem, and by
incorporating them into a self-consistent Kohn-Sham calculation for small
atoms. We find that the low order representability conditions already capture
the main part of the correlations.


title: Homotopy limits in type theory

abstract:
  Working in homotopy type theory, we provide a systematic study of homotopy
limits of diagrams over graphs, formalized in the Coq proof assistant. We
discuss some of the challenges posed by this approach to formalizing
homotopy-theoretic material. We also compare our constructions with the more
classical approach to homotopy limits via fibration categories.


title: Concurrent and Accurate RNA Sequencing on Multicore Platforms

abstract:
  In this paper we introduce a novel parallel pipeline for fast and accurate
mapping of RNA sequences on servers equipped with multicore processors. Our
software, named HPG-Aligner, leverages the speed of the Burrows-Wheeler
Transform to map a large number of RNA fragments (reads) rapidly, as well as
the accuracy of the Smith-Waterman algorithm, that is employed to deal with
conflictive reads. The aligner is complemented with a careful strategy to
detect splice junctions based on the division of RNA reads into short segments
(or seeds), which are then mapped onto a number of candidate alignment
locations, providing useful information for the successful alignment of the
complete reads.
  Experimental results on platforms with AMD and Intel multicore processors
report the remarkable parallel performance of HPG-Aligner, on short and long
RNA reads, which excels in both execution time and sensitivity to an
state-of-the-art aligner such as TopHat 2 built on top of Bowtie and Bowtie 2.


title:
Sparse Signal Processing with Linear and Nonlinear Observations: A
  Unified Shannon-Theoretic Approach

abstract:
  We derive fundamental sample complexity bounds for recovering sparse and
structured signals for linear and nonlinear observation models including sparse
regression, group testing, multivariate regression and problems with missing
features. In general, sparse signal processing problems can be characterized in
terms of the following Markovian property. We are given a set of $N$ variables
$X_1,X_2,\ldots,X_N$, and there is an unknown subset of variables $S \subset
\{1,\ldots,N\}$ that are relevant for predicting outcomes $Y$. More
specifically, when $Y$ is conditioned on $\{X_n\}_{n\in S}$ it is conditionally
independent of the other variables, $\{X_n\}_{n \not \in S}$. Our goal is to
identify the set $S$ from samples of the variables $X$ and the associated
outcomes $Y$. We characterize this problem as a version of the noisy channel
coding problem. Using asymptotic information theoretic analyses, we establish
mutual information formulas that provide sufficient and necessary conditions on
the number of samples required to successfully recover the salient variables.
These mutual information expressions unify conditions for both linear and
nonlinear observations. We then compute sample complexity bounds for the
aforementioned models, based on the mutual information expressions in order to
demonstrate the applicability and flexibility of our results in general sparse
signal processing models.

categories: cs.IT cs.LG math.IT math.ST stat.ML stat.TH


title: Quantum Biology at the Cellular Level - elements of the research program

abstract:
  Quantum Biology is emerging as a new field at the intersection between
fundamental physics and biology, promising novel insights into the nature and
origin of biological order. We discuss several elements of QBCL (Quantum
Biology at Cellular Level), a research program designed to extend the reach of
quantum concepts to higher than molecular levels of biological organization.
  Key words. decoherence, macroscopic superpositions, basis-dependence, formal
superposition, non-classical correlations, Basis-Dependent Selection (BDS),
synthetic biology, evolvability mechanism loophole.


title: A theory of theta functions to the quintic base

abstract:
  Properties of four quintic theta functions are developed in parallel with
those of the classical Jacobi null theta functions. The quintic theta functions
are shown to satisfy analogues of Jacobi's quartic theta function identity and
counterparts of Jacobi's Principles of Duplication, Dimidiation and Change of
Sign Formulas. The resulting library of quintic transformation formulas is used
to describe series multisections for modular forms in terms of simple matrix
operations. These efforts culminate in a formal technique for deducing
congruences modulo powers of five for a variety of combinatorial generating
functions, including the partition function. Further analysis of the quintic
theta functions is undertaken by exploring their modular properties and their
connection to Eisenstein series. The resulting relations lead to a coupled
system of differential equations for the quintic theta functions.


title: The soundtrack of RR Lyrae in Omega Cen at high-frequency

abstract:
  We present preliminary Sloan u',g'-band light curves for a sample of known RR
Lyrae variables in the Galactic globular cluster Omega Cen. Results are based
on the partial reduction of multi-band time series photometric data collected
during six consecutive nights with the visitor instrument ULTRACAM mounted on
the New Technology Telescope (La Silla, ESO). This facility allowed us to
simultaneously observe in three different bands (Sloan u',g',r') a field of
view of about 6x6 arcminutes. The telescope and the good seeing conditions
allowed us to sample the light curves every 15 seconds. We ended up with a data
set of about 6,000 images per night per filter, for a total of more than
200,000 images of the selected field. This data set allowed us to detect
different kind of variables, such as RR-Lyraes, SX Phoenicis, eclipsing
binaries, semi-regulars. More importantly, we were able for the first time to
sample at high-frequency cluster RR Lyraes in the u',g'-band and to show in
detail the pulsation phases across the dip located along the rising branch of
RR-Lyraes.


title:
Strong Lensing Analysis of PLCK G004.5$-$19.5, a Planck-Discovered
  Cluster Hosting a Radio Relic at $z=0.52$

abstract:
  The recent discovery of a large number of galaxy clusters using the
Sunyaev-Zel'dovich (SZ) effect has opened a new era on the study of the most
massive clusters in the Universe. Multi-wavelength analyses are required to
understand the properties of these new sets of clusters, which are a sensitive
probe of cosmology. We aim at a multi-wavelength characterization of PLCK
G004.5$-$19.5, one of the most massive X-ray validated SZ effect-selected
galaxy clusters discovered by the Planck satellite. We have observed PLCK
G004.5$-$19.5 with GMOS on Gemini South for optical imaging and spectroscopy,
and performed a strong lensing analysis. We also searched for associated radio
emission in published catalogs. An analysis of the optical images confirms that
this is a massive cluster, with a dominant central galaxy (the BCG) and an
accompanying red sequence of galaxies, plus a $14''$-long strong lensing arc.
Longslit pectroscopy of 6 cluster members shows that the cluster is at
$z=0.516\pm0.002$. We also targeted the strongly lensed arc, and found $z_{\rm
arc}=1.601$. We use LensTool to carry out a strong lensing analysis, from which
we measure a median Einstein radius $\theta_E(z_s=1.6)\simeq30''$ and estimate
an enclosed mass $M_E=2.45_{-0.47}^{+0.45}\times10^{14}\,M_\odot$. By
extrapolating an NFW profile we find a total mass
$M_{500}^{SL}=4.0_{-1.0}^{+2.1}\times10^{14}M_\odot$. Including a constraint on
the mass from previous X-ray observations yields a slightly higher mass,
$M_{500}^{SL+X}=6.7_{-1.3}^{+2.6}\times10^{14}M_\odot$, marginally consistent
with the value from strong lensing alone. High-resolution radio images from
TGSS at 150~MHz reveal that PLCK G004.5$-$19.5 hosts a powerful radio relic on
scales $\lesssim500$ kpc. Emission at the same location is also detected in low
resolution images at 843~MHz and 1.4~GHz. This is one of the higher redshift
radio relics known to date.


title: On Koszulity for operads of Conformal Field Theory

abstract:
  We study two closely related operads: the Gelfand-Dorfman operad GD and the
Conformal Lie Operad CLie. The latter is the operad governing the Lie conformal
algebra structure. We prove Koszulity of the Conformal Lie operad using the
Groebner bases theory for operads and an operadic analogue of the Priddy
criterion. An example of deformation of an operad coming from the Hom
structures is considered. In particular we study possible deformations of the
Associative operad from the point of view of the confluence property. Only one
deformation, the operad which governs the identity $(\alpha(ab))c=a(\alpha
(bc))$ turns out to be confluent. We introduce a new Hom structure, namely
Hom--Gelfand-Dorfman algebras and study their basic properties.


title:
High precision nano scale temperature sensing using single defects in
  diamond

abstract:
  Measuring local temperature with a spatial resolution on the order of a few
nanometers has a wide range of applications from semiconductor industry over
material to life sciences. When combined with precision temperature measurement
it promises to give excess to small temperature changes caused e.g. by chemical
reactions or biochemical processes. However, nanoscale temperature measurements
and precision have excluded each other so far owing to the physical processes
used for temperature measurement of limited stability of nanoscale probes. Here
we experimentally demonstrate a novel nanoscale temperature sensing technique
based on single atomic defects in diamonds. Sensor sizes range from millimeter
down to a few tens of nanometers. Utilizing the sensitivity of the optically
accessible electron spin level structure to temperature changes we achieve a
temperature noise floor of 5 mK Hz$^{-1/2}$ for single defects in bulk sensors.
Using doped nanodiamonds as sensors yields temperature measurement with 130 mK
Hz$^{-1/2}$ noise floor and accuracies down to 1 mK at length scales of a few
ten nanometers. The high sensitivity to temperature changes together with
excellent spatial resolution combined with outstanding sensor stability allows
for nanoscale precision temperature determination enough to measure chemical
processes of few or single molecules by their reaction heat even in
heterogeneous environments like cells.