title: The hard X-ray shortages prompted by the clock bursts in GS 1826--238

abstract:
  We report on a study of GS 1826--238 using all available {\it RXTE}
observations, concentrating on the behavior of the hard X-rays during type-I
bursts. We find a hard X-ray shortage at 30--50 keV promoted by the shower of
soft X-rays coming from type-I bursts. This shortage happens with a time delay
after the peak of the soft flux of 3.6 $\pm$ 1.2 seconds.The behavior of hard
X-rays during bursts indicates cooling and reheating of the corona, during
which a large amount of energy is required. We speculate that this energy
originates from the feedback of the type-I bursts to the accretion process,
resulting in a rapid temporary increase of the accretion rate.


title: On the Codimension Sequence of G-Simple Algebras

abstract:
  In the 80's, Regev, using results of Formanek, Procesi and Razmyslov in
invariant theory and Hilbert series', determined asymptotically the codimension
sequence of mXm matrices over an algebraically closed field of characteristic
zero. Inspired by Regev's ideas, we found that the asymptotics of
$c_{n}^{G}(A)$, the G graded codimension sequence of a finite dimensional G
simple algebra A, is equal to $\alpha n^{\frac{1-\dim(A_{e})}{2}}(\dim(A)^{n}
  $ (this was conjectured by E.Aljadeff, D.Haile and M. Natapov), where \alpha
is not yet determined number. Moreover, in the case where A is the algebra of
mXm matrices with an arbitrary elementary G-grading we also manged to calculate
\alpha.


title:
A priori estimates for nonlinear fourth order Schr\"odinger type
  equations

abstract:
  We study the fourth order Schr\"odinger type differential inequality
$-\Delta^2 u + \lambda V(x)u \geq a(x)u^q$ with $a,V\in
L^1_{loc}(\mathbf{R}^N)$, both nonnegative, and $\lambda>0$. We consider
nonnegative solutions without making any assumptions about their asymptotic
behavior, and choosing appropriate test functions, we find a priori estimates
for some type of subharmonic solutions. Finally, applying these a priori
estimates, we proof a Liouville type result.


title:
Global and non-global parameters of horizontal branch morphology of
  globular clusters

abstract:
  The horizontal branch (HB) morphology of globular clusters (GCs) is mainly
determined by metallicity. However, the fact that GCs with almost the same
metallicity exhibit different HB morphologies demonstrates that at least one
more parameter is needed to explain the HB morphology. It has been suggested
that one of these should be a global parameter that varies from GC to GC, and
the other a non-global parameter that varies within the GC. In this study we
provide empirical evidence corroborating this idea. We used the photometric
catalogs obtained with the Advanced Camera for Surveys (ACS) of the Hubble
Space Telescope (HST) and analyse the CMDs of 74 GCs. The HB morphology of our
sample of GCs has been investigated on the basis of the two new parameters L1
and L2 that measure the distance between the RGB and the coolest part of the
HB, and the color extension of the HB, respectively. We find that L1 correlates
with both metallicity and age, whereas L2 most strongly correlates with the
mass of the hosting GC. The range of helium abundance among the stars in a GC,
characterised by Delta Y and associated with the presence of multiple stellar
populations, has been estimated in a few GCs to date. In these GCs we find a
close relationship among Delta Y, GC mass, and L2. We conclude that age and
metallicity are the main global parameters while the range of helium abundance
within a GC is the main non-global parameter defining the HB morphology of
Galactic GCs.


title:
Impact of thermal diffusion and other abundance anomalies on
  cosmological uses of galaxy clusters

abstract:
  Depending on the topology of the magnetic field and characteristics of
turbulent motions, diffusion can significantly affect the distribution of
elements, in particular helium, in the intracluster medium (ICM). As has been
noted previously, an incorrect assumption about the helium abundance will lead
to an error in the iron abundance determined from X-ray spectroscopy. The
corresponding effect on the temperature measurement is negligibly small. An
incorrectly assumed helium abundance will also lead to a systematic error in
angular distance measurements based on X-ray and Sunyaev-Zeldovich (SZ)
observations of clusters of galaxies. Its magnitude is further amplified by the
associated error in the metal abundance determination, the impact being larger
at lower ICM temperatures. Overall, a factor of 2-5 error in the helium
abundance will lead to an ~ 10-25 % error in the angular distance.
  We solve the full set of Burgers equations for a multi-component intracluster
plasma to determine the maximal effect of diffusion on the interpretation of
X-ray and microwave observations of clusters of galaxies. For an isothermal
cluster, gravitational sedimentation can lead to up to a factor of ~ 5-10
enhancements of helium and metal abundances in the cluster center on a ~ 3-7
Gyr timescale. In cool-core clusters on the contrary, thermal diffusion can
counteract gravitational sedimentation and effectively remove helium and metals
from the cluster inner core. In either case, a significant, up to ~ 40 %, error
in the metal abundances determined by means of X-ray spectroscopy is possible.
The angular distance determined from X-ray and SZ data can be underestimated by
up to ~ 10-25 %.


title: On the motive of a commutative algebraic group

abstract:
  We prove a canonical Kunneth decomposition for the motive of a commutative
group scheme over a field. Moreover, we show that this decomposition behaves
under the group law just as in cohomology. We also deduce applications of the
decomposition to the existence of a weight filtration, computation of any Weil
cohomology theory and study of 1-motives.


title: Stretching factors, metrics and train tracks for free products

abstract:
  In this paper we develop the metric theory for the outer space of a free
product of groups. This generalizes the theory of the outer space of a free
group, and includes its relative versions. The outer space of a free product is
made of $G$-trees with possibly non-trivial vertex stabilisers. The strategies
are the same as in the classical case, with some technicalities arising from
the presence of infinite-valence vertices.
  In particular, we describe the Lipschitz metric and show how to compute it;
we prove the existence of optimal maps; we describe geodesics represented by
folding paths. We show that train tracks representative of irreducible (hence
hyperbolic) automorphisms exist and that their are metrically characterized as
minimal displaced points, showing in particular that the set of train tracks is
closed. We include a proof of the existence of simplicial train tracks map
without using Perron-Frobenius theory.
  A direct corollary of this general viewpoint is an easy proof that relative
train track maps exist in both the free group and free product case.


title:
The microlocal spectrum condition, initial value formulations and
  background independence

abstract:
  We analyze the implications of the microlocal spectrum/Hadamard condition for
states in a (linear) quantum field theory on a globally hyperbolic spacetime
$M$ in the context of a (distributional) initial value formulation. More
specifically, we work in a $3+1$-split $M\cong\mathbb{R}\times\Sigma$ and give
a bound, independent of the spacetime metric, on the wave front sets of the
initial data for a quasi-free Hadamard state in the quantum field theory
defined by a normally hyperbolic differential operator $P$ acting in a vector
bundle $E\stackrel{\pi}{\rightarrow}M$. This aims at a possible way to apply
the concept of Hadamard states within approaches to quantum field
theory/gravity relying on a Hamiltonian formulation, potentially without a
(classical) background metric $g$.


title:
Nonequilibrium fluctuation-dissipation relations for one- and
  two-particle correlation functions in steady-state quantum transport

abstract:
  We study the non-equilibrium (NE) fluctuation-dissipation (FD) relations in
the context of quantum thermoelectric transport through a two-terminal
nanodevice in the steady-state. The FD relations for the one- and two-particle
correlation functions are derived for a model of the central region consisting
of a single electron level. Explicit expressions for the FD relations of the
Green's functions (one-particle correlations) are provided. The FD relations
for the current-current and charge-charge (two-particle) correlations are
calculated numerically. We use self-consistent NE Green's functions
calculations to treat the system in the absence and in the presence of
interaction (electron-phonon) in the central region. We show that, for this
model, there is no single universal FD theorem for the NE steady state. There
are different FD relations for each different class of problems. We find that
the FD relations for the one-particle correlation function are strongly
dependent on both the NE conditions and the interactions, while the FD
relations of the current-current correlation function are much less dependent
on the interaction. The latter property suggests interesting applications for
single-molecule and other nanoscale transport experiments.


title:
SModelS: a tool for interpreting simplified-model results from the LHC
  and its application to supersymmetry

abstract:
  We present a general procedure to decompose Beyond the Standard Model (BSM)
collider signatures presenting a Z2 symmetry into Simplified Model Spectrum
(SMS) topologies. Our method provides a way to cast BSM predictions for the LHC
in a model independent framework, which can be directly confronted with the
relevant experimental constraints. Our concrete implementation currently
focusses on supersymmetry searches with missing energy, for which a large
variety of SMS results from ATLAS and CMS are available. As show-case examples
we apply our procedure to two scans of the minimal supersymmetric standard
model. We discuss how the SMS limits constrain various particle masses and
which regions of parameter space remain unchallenged by the current SMS
interpretations of the LHC results.


title: Distributed k-means algorithm

abstract:
  In this paper we provide a fully distributed implementation of the k-means
clustering algorithm, intended for wireless sensor networks where each agent is
endowed with a possibly high-dimensional observation (e.g., position, humidity,
temperature, etc.) The proposed algorithm, by means of one-hop communication,
partitions the agents into measure-dependent groups that have small in-group
and large out-group "distances". Since the partitions may not have a relation
with the topology of the network--members of the same clusters may not be
spatially close--the algorithm is provided with a mechanism to compute the
clusters'centroids even when the clusters are disconnected in several
sub-clusters.The results of the proposed distributed algorithm coincide, in
terms of minimization of the objective function, with the centralized k-means
algorithm. Some numerical examples illustrate the capabilities of the proposed
solution.


title:
Selecting source image sensor nodes based on 2-hop information to
  improve image transmissions to mobile robot sinks in search \& rescue
  operations

abstract:
  We consider Robot-assisted Search $\&$ Rescue operations enhanced with some
fixed image sensor nodes capable of capturing and sending visual information to
a robot sink. In order to increase the performance of image transfer from image
sensor nodes to the robot sinks we propose a 2-hop neighborhood
information-based cover set selection to determine the most relevant image
sensor nodes to activate. Then, in order to be consistent with our proposed
approach, a multi-path extension of Greedy Perimeter Stateless Routing (called
T-GPSR) wherein routing decisions are also based on 2-hop neighborhood
information is proposed. Simulation results show that our proposal reduces
packet losses, enabling fast packet delivery and higher visual quality of
received images at the robot sink.


title:
Quark mass dependence of the QCD temperature transition in magnetic
  fields

abstract:
  Vacuum energy of quarks participates in the pressure balance at the
temperature transition T_c and defines the dependence of T_c on m_q. We first
check this dependence in absence of magnetic fields eB vs known lattice data,
and then take into account the known strong dependence of the quark condensate
on eB. The resulting function T_c(eB, m_q) is valid for all eB, m_q<
\sqrt\sigma and explains the corresponding lattice data.


title:
Multi-Parameter Decision Support with Data Transmission over GSM/GPRS
  Network: a Case Study of Landslide Monitoring

abstract:
  The planet Earth has hundreds of impact events, with some occurrences causing
both in terms of human casualty as well as economic losses. Such attitudes of
earth pushed the frontiers to develop innovative monitoring strategies for the
earth system. To make that real, although, will require coherent and real-time
data by observing the earth behavior contiguously. Wireless Sensor Network
(WSN) appears to be the best suitable infrastructure to sense environmental
parameters of our interests. In this event of earth observation, another
important issue is the monitoring system with high level of precision. There
are different types of sensors to measure the behavioral aspects of earth. The
sensors integrated with WSN, provide an accurate and contiguous data for
analysis and interpretation. This paper briefly addresses earth observation and
areas of critical importance to people and society. A case study has also been
carried out for disaster like Landslide in the North Eastern region of India.
Application software has been developed for the said study for online data
acquisition and analysis with pre-disaster early warning system. The system
monitors the changing geotechnical condition of this region using various
geo-technical sensors like Rain gauge, In-place Inclinometer, Tilt-meter,
Piezo-meter and Crack meter. This paper also touches upon the aspects of data
transmission over Global System for Mobile Communication (GSM) / General Packet
Radio Service (GPRS) to a remote data center.


title:
Multi-particle localization for weakly interacting Anderson
  tight-binding models

abstract:
  We establish the complete spectral exponential, and the strong
Hilbert-Schmidt dynamical localization for the one-dimensional multi-particle
Anderson tight-binding model and for weakly interacting particles system. In
other words, we show stability of the one-dimensional localization from the
single-particle to multi-particle systems with an arbitrary large but finite
number of particles and for sufficient weakly interacting models. The proof
uses the multi-scale analysis estimates for multi-particle systems. The common
probability distribution function of the random external potential in the
Anderson model is assumed to be log-H\"older continuous, so the results apply
to a large class of Anderson models.


title:
A necessary and sufficient condition for local controllability around
  closed orbits

abstract:
  In this paper we give a necessary and sufficient condition for local
controllability around closed orbits for general smooth control systems. We
also prove that any such system on a compact manifold has a closed orbit.


title: Adaptive Protocols for Interactive Communication

abstract:
  How much adversarial noise can protocols for interactive communication
tolerate? This question was examined by Braverman and Rao (IEEE Trans. Inf.
Theory, 2014) for the case of "robust" protocols, where each party sends
messages only in fixed and predetermined rounds. We consider a new class of
non-robust protocols for Interactive Communication, which we call adaptive
protocols. Such protocols adapt structurally to the noise induced by the
channel in the sense that both the order of speaking, and the length of the
protocol may vary depending on observed noise.
  We define models that capture adaptive protocols and study upper and lower
bounds on the permissible noise rate in these models. When the length of the
protocol may adaptively change according to the noise, we demonstrate a
protocol that tolerates noise rates up to $1/3$. When the order of speaking may
adaptively change as well, we demonstrate a protocol that tolerates noise rates
up to $2/3$. Hence, adaptivity circumvents an impossibility result of $1/4$ on
the fraction of tolerable noise (Braverman and Rao, 2014).


title:
Propagating Linear Waves in Convectively Unstable Stellar Models: a
  Perturbative Approach

abstract:
  Linear time-domain simulations of acoustic oscillations are unstable in the
stellar convection zone. To overcome this problem it is customary to compute
the oscillations of a stabilized background stellar model. The stabilization,
however, affects the result. Here we propose to use a perturbative approach
(running the simulation twice) to approximately recover the acoustic wave
field, while preserving seismic reciprocity. To test the method we considered a
1D standard solar model. We found that the mode frequencies of the (unstable)
standard solar model are well approximated by the perturbative approach within
$1~\mu$Hz for low-degree modes with frequencies near $3~\mu$Hz. We also show
that the perturbative approach is appropriate for correcting
rotational-frequency kernels. Finally, we comment that the method can be
generalized to wave propagation in 3D magnetized stellar interiors because the
magnetic fields have stabilizing effects on convection.


title:
Hyperbolicity of renormalization of circle maps with a break-type
  singularity

abstract:
  We study the renormalization operator of circle homeomorphisms with a break
point and show that it possesses a hyperbolic horseshoe attractor.


title: Comment: Causal entropic forces

abstract:
  In this comment I argue that the causal entropy proposed in [1] is
state-independent and the entropic force is zero for state-independent noise in
a discrete time formulation and that the causal entropy description is
incomplete in the continuous time case.


title: Ferromagnetism and Borromean binding in three-fermion clusters

abstract:
  A three-particle spin-1/2 fermion problem with on-site repulsion and
nearest-neighbor attraction is solved on the two-dimensional square lattice by
discretizing a Schroedinger equation in momentum space. Energies of bound
complexes (trions) and their binding conditions are obtained. For total spin S
= 1/2, a wide region of trion instability toward decaying into a stable singlet
pair plus a free fermion is identified. The instability is attributed to the
formation of a wave function node upon addition of the third fermion. In the S
= 3/2 sector, trions are found to form before triplet pairs indicating
Borromean binding. In the strong repulsion, strong attraction limit the system
transitions from an S = 1/2 ground state to a ferromagnetic S = 3/2 ground
state in agreement with the Nagaoka theorem for a four-site plaquette.


title: I'd Rather Stay Stupid: The Advantage of Having Low Utility

abstract:
  Motivated by cost of computation in game theory, we explore how changing the
utilities of players (changing their complexity costs) affects the outcome of a
game. We show that even if we improve a player's utility in every action
profile, his payoff in equilibrium might be lower than in the equilibrium
before the change. We provide some conditions on games that are sufficient to
ensure this does not occur. We then show how this counter-intuitive phenomenon
can explain real life phenomena such as free riding, and why this might cause
people to give signals indicating that they are not as good as they really are.


title: Parallel Firewalls on General-Purpose Graphics Processing Units

abstract:
  Firewalls use a rule database to decide which packets will be allowed from
one network onto another thereby implementing a security policy. In high-speed
networks as the inter-arrival rate of packets decreases, the latency incurred
by a firewall increases. In such a scenario, a single firewall become a
bottleneck and reduces the overall throughput of the network.A firewall with
heavy load, which is supposed to be a first line of defense against attacks,
becomes susceptible to Denial of Service (DoS) attacks. Many works are being
done to optimize firewalls.This paper presents our implementation of different
parallel firewall models on General-Purpose Graphics Processing Unit (GPGPU).
We implemented the parallel firewall architecture proposed in and introduced a
new model that can effectively exploit the massively parallel computing
capabilities of GPGPU.


title:
Towards slime mould chemical sensor: Mapping chemical inputs onto
  electrical potential dynamics of Physarum Polycephalum

abstract:
  We experimentally derived a unique one-to-one mapping between a range of
selected bioactive chemicals and patterns of oscillations of the slime mould's
extacellular electrical potential.


title: One-Shot-Learning Gesture Recognition using HOG-HOF Features

abstract:
  The purpose of this paper is to describe one-shot-learning gesture
recognition systems developed on the \textit{ChaLearn Gesture Dataset}. We use
RGB and depth images and combine appearance (Histograms of Oriented Gradients)
and motion descriptors (Histogram of Optical Flow) for parallel temporal
segmentation and recognition. The Quadratic-Chi distance family is used to
measure differences between histograms to capture cross-bin relationships. We
also propose a new algorithm for trimming videos --- to remove all the
unimportant frames from videos. We present two methods that use combination of
HOG-HOF descriptors together with variants of Dynamic Time Warping technique.
Both methods outperform other published methods and help narrow down the gap
between human performance and algorithms on this task. The code has been made
publicly available in the MLOSS repository.


title:
Quantum F_un: the q=1 Limit of Galois Field Quantum Mechanics,
  Projective Geometry, and the Field with One Element

abstract:
  We argue that the q=1 limit of Galois Field Quantum Mechanics, which was
constructed on a vector space over the Galois Field F_q=GF(q), corresponds to
its `classical limit,' where superposition of states is disallowed. The limit
preserves the projective geometry nature of the state space, and can be
understood as being constructed on an appropriately defined analogue of a
`vector' space over the `field with one element' F_1.


title: Smooth Projective Toric Variety Representatives in Complex Cobordism

abstract:
  A general problem in complex cobordism theory is to find useful
representatives for cobordism classes. One particularly convenient class of
complex manifolds consists of smooth projective toric varieties. The bijective
correspondence between these varieties and smooth polytopes allows us to
examine which complex cobordism classes contain a smooth projective toric
variety by studying the combinatorics of polytopes. These combinatorial
properties determine obstructions to a complex cobordism class containing a
smooth projective toric variety. However, the obstructions are only necessary
conditions, and the actual distribution of smooth projective toric varieties in
complex cobordism appears to be quite complicated. The techniques used here
provide descriptions of smooth projective toric varieties in low-dimensional
cobordism.


title:
Additive consistency of risk measures and its application to risk-averse
  routing in networks

abstract:
  This paper investigates the use of risk measures and theories of choice for
modeling risk-averse route choice and traffic network equilibrium with random
travel times. We interpret the postulates of these theories in the context of
routing, and we identify additive consistency as a plausible and relevant
condition that allows to reduce risk-averse route choice to a standard shortest
path problem. Within the classical theories of choice under risk, we show that
the only preferences that satisfy this consistency property are the ones
induced by the entropic risk measures.


title:
Search for flavor-changing neutral currents in top-quark decays t to Zq
  in pp collisions at sqrt(s) = 8 TeV

abstract:
  A search for flavor-changing neutral currents in top-quark decays t to Zq is
performed in events produced from the decay chain t t-bar to Zq + Wb, where
both vector bosons decay leptonically, producing a final state with three
leptons (electrons or muons). A data set collected with the CMS detector at the
LHC is used, corresponding to an integrated luminosity of 19.7 inverse
femtobarns of proton-proton collisions at a center-of-mass energy of 8 TeV. No
excess is seen in the observed number of events relative to the standard model
prediction; thus, no evidence for flavor-changing neutral currents in top-quark
decays is found. A combination with a previous search at 7 TeV excludes a t to
Zq branching fraction greater than 0.05% at the 95% confidence level.


title:
On an interpolative Schr\"{o}dinger equation and an alternative
  classical limit

abstract:
  We introduce a simple deformed quantization prescription that interpolates
the classical and quantum sectors of Weinberg's nonlinear quantum theory. The
result is a novel classical limit where $\hbar$ is kept fixed while a
dimensionless mesoscopic parameter, $\lambda\in[0,1]$, goes to zero. Unlike the
standard classical limit, which holds good up to a certain timescale, ours is a
precise limit incorporating true dynamical chaos, no dispersion, an absence of
macroscopic superpositions and a complete recovery of the symplectic geometry
of classical phase space. We develop the formalism, and discover that energy
levels suffer a {\em generic perturbation\/}. Exactly, they become
$E(\lambda^{2}\hbar)$, where $\lambda = 1$ gives the standard prediction. Exact
interpolative eigenstates can be similarly constructed. Unlike the linear case,
these need no longer be orthogonal. A formal solution for the interpolative
dynamics is given, and we exhibit the free particle as one exactly soluble
case. Dispersion is reduced, to vanish at $\lambda = 0$. We conclude by
discussing some possible empirical signatures, and explore the obstructions to
a satisfactory physical interpretation.


title:
A detailed balanced reaction network is sufficient but not necessary for
  its Markov chain to be detailed balanced

abstract:
  Certain chemical reaction networks (CRNs) when modeled as a deterministic
dynamical system taken with mass-action kinetics have the property of reaction
network detailed balance (RNDB) which is achieved by imposing network-related
constraints on the reaction rate constants. Markov chains (whether arising as
models of CRNs or otherwise) have their own notion of detailed balance, imposed
by the network structure of the graph of the transition matrix of the Markov
chain. When considering Markov chains arising from chemical reaction networks
with mass-action kinetics, we will refer to this property as Markov chain
detailed balance (MCDB). Finally, we refer to the stochastic analog of RNDB as
Whittle stochastic detailed balance (WSDB). It is known that RNDB and WSDB are
equivalent. We prove that WSDB and MCDB are also intimately related but are not
equivalent. While RNDB implies MCDB, the converse is not true. The conditions
on rate constants that result in networks with MCDB but without RNDB are
stringent, and thus examples of this phenomenon are rare, a notable exception
is a network whose Markov chain is a birth and death process. We give a new
algorithm to find conditions on the rate constants that are required for MCDB.


title:
Direct high-resolution characterization of quantum correlations via
  classical measurements

abstract:
  Quantum optics plays a central role in the study of fundamental concepts in
quantum mechanics, and in the development of new technological applications.
Typical experiments employ non-classical light, such as entangled photons,
generated by parametric processes. The standard characterization of the sources
by quantum tomography, which relies on detecting the pairs themselves and thus
requires single photon detectors, limits both measurement speed and accuracy.
Here we show that the spectral characterization of the quantum correlations
generated by two-photon sources can be directly performed classically with an
unprecedented spectral resolution. This streamlined technique has the potential
to speed up design and testing of massively parallel integrated sources by
providing a fast and reliable quality control procedure. Adapting our method to
explore other degrees of freedom would allow the complete characterization of
biphoton states generated by parametric processes.


title: Evidence of b-jet quenching in PbPb collisions at sqrt(s[NN]) = 2.76 TeV

abstract:
  The production of jets associated to bottom quarks is measured for the first
time in PbPb collisions at a center-of-mass energy of 2.76 TeV per nucleon
pair. Jet spectra are reported in the transverse momentum (pt) range of 80-250
GeV, and within pseudorapidity abs(eta < 2). The nuclear modification factor
(R[AA]) calculated from these spectra shows a strong suppression in the b-jet
yield in PbPb collisions relative to the yield observed in pp collisions at the
same energy. The suppression persists to the largest values of pt studied, and
is centrality dependent. The R[AA] is about 0.4 in the most central events,
similar to previous observations for inclusive jets. This implies that jet
quenching does not have a strong dependence on parton mass and flavor in the
jet pt range studied.


title: Spectral properties of microwave graphs with local absorption

abstract:
  The influence of absorption on the spectra of microwave graphs has been
studied experimentally. The microwave networks were made up of coaxial cables
and T junctions. First, absorption was introduced by attaching a 50 Ohm load to
an additional vertex for graphs with and without time-reversal symmetry. The
resulting level-spacing distributions were compared with a generalization of
the Wigner surmise in the presence of open channels proposed recently by Poli
et al. [Phys. Rev. Lett. 108, 174101 (2012)]. Good agreement was found using an
effective coupling parameter. Second, absorption was introduced along one
individual bond via a variable microwave attenuator, and the influence of
absorption on the length spectrum was studied. The peak heights in the length
spectra corresponding to orbits avoiding the absorber were found to be
independent of the attenuation, whereas, the heights of the peaks belonging to
orbits passing the absorber once or twice showed the expected decrease with
increasing attenuation.


title:
Comment on "Weyl fermions and the anomalous Hall effect in metallic
  ferromagnets"

abstract:
  We point out that, contrary to an assertion by Chen, Bergman and Burkov
[Phys. Rev. B 88, 125110 (2013)], the non-quantized part of the intrinsic
anomalous Hall conductivity can indeed be expressed as a Fermi-surface property
even when Weyl points are present in the bandstructure.


title:
Normal forms for sub-Lorentzian metrics supported on Engel type
  distributions

abstract:
  We construct normal forms for Lorentzian metrics on Engel distributions under
the assumption that abnormal curves are timelike future directed Hamiltonian
geodesics. Then we indicate some cases in which the abnormal timelike future
directed curve initiating at the origin is geometrically optimal. We also give
certain estimates for reachable sets from a point.


title: Electrode modelling: The effect of contact impedance

abstract:
  The most realistic model for current-to-voltage measurements of electrical
impedance tomography is the complete electrode model which takes into account
electrode shapes and contact impedances at the electrode/object interfaces.
When contact impedances are small, numerical instability can be avoided by
replacing the complete model with the shunt model in which perfect contacts,
that is zero contact impedances, are assumed. In the present work we show that
using the shunt model causes only a (almost) linear error with respect to the
contact impedances in modelling absolute current-to-voltage measurements.
Moreover, we note that the electric potentials predicted by the two models
exhibit genuinely different Sobolev regularity properties. This, in particular,
causes different convergence rates for finite element approximation of the
potentials. The theoretical results are backed up by two dimensional numerical
experiments.


title: Scheduling MapReduce Jobs and Data Shuffle on Unrelated Processors

abstract:
  We propose constant approximation algorithms for generalizations of the
Flexible Flow Shop (FFS) problem which form a realistic model for
non-preemptive scheduling in MapReduce systems. Our results concern the
minimization of the total weighted completion time of a set of MapReduce jobs
on unrelated processors and improve substantially on the model proposed by
Moseley et al. (SPAA 2011) in two directions. First, we consider each job
consisting of multiple Map and Reduce tasks, as this is the key idea behind
MapReduce computations, and we propose a constant approximation algorithm.
Then, we introduce into our model the crucial cost of data shuffle phase, i.e.,
the cost for the transmission of intermediate data from Map to Reduce tasks. In
fact, we model this phase by an additional set of Shuffle tasks for each job
and we manage to keep the same approximation ratio when they are scheduled on
the same processors with the corresponding Reduce tasks and to provide also a
constant ratio when they are scheduled on different processors. This is the
most general setting of the FFS problem (with a special third stage) for which
a constant approximation ratio is known.


title: Model for inner structure and mass spectrum of charged leptons

abstract:
  We present a model where the lepton masses are the eigenvalues of
relativistic nonlinear field equations. The eigenfunctions correspond in the
model to lepton states with inner structure. In this picture the
self-interaction leads to the bound state of electron described by the ground
state solution. The variational approach based on minimization of the mass or
the energy of the ground state solution is developed. The analytical solution
yields the relation between the coupling constant $G_l$ of the self-interaction
and the electron mass as $m_e\simeq 2.3\sqrt{\hbar c/G_l}$. This solution also
leads to a finite `radius' of the electron which is about $1.9\lambda_e$ where
$\lambda_e$ is the Compton length of electron.


title: K-Groups of reciprocity functors for G_a and abelian varieties

abstract:
  We prove that the $K$-group of reciprocity functors, defined by F. Ivorra and
the first author, vanishes over a perfect field as soon as one of the
reciprocity functors is $\mathbb{G}_a$ and one is an abelian variety.


title:
A sequential algorithm with a built in tension-propagation mechanism for
  modeling the chain-like bodies dynamics

abstract:
  In the paper a novel stochastic algorithm designed to study of chain-like
bodies dynamics is introduced. This algorithm models chain movements induced by
the tension propagation and its main idea relies on the sequentialization of
each movement into a sequence of virtual steps made by chain's segments. In
this spirit, any accepted chain's new position is achieved by a move that is
initiated by a shift of one segment picked randomly according to a
problem-specific probability distribution and then followed by a cascade of
some other segments' position rearrangements. The rearrangement process
terminates when the tension in the chain induced by the initial shift is
released. A considerable gain in the volume of allocated memory is achieved
because the virtual steps lead to new conformations that are very likely to be
acceptable by nature. We validate the algorithm by comparing passage times for
polymer translocation through a pore obtained within this algorithm with their
counterparts reported in the literature. In this paper we focus on a
fluctuating-bond model of self-avoiding polymers on 2D square lattice. Based on
the large data sets received in our simulations we have found that the
transolaction time is distributed according to the Moyal probability
distribution. This novel finding enables us to identify the theoretical form of
various distributions of translocation time reported in literature by
expressing them very accurately with the help of this two-parameter family of
probability distributions


title:
On the Energy Self-Sustainability of IoT via Distributed Compressed
  Sensing

abstract:
  This paper advocates the use of the distributed compressed sensing (DCS)
paradigm to deploy energy harvesting (EH) Internet of Thing (IoT) devices for
energy self-sustainability. We consider networks with signal/energy models that
capture the fact that both the collected signals and the harvested energy of
different devices can exhibit correlation. We provide theoretical analysis on
the performance of both the classical compressive sensing (CS) approach and the
proposed distributed CS (DCS)-based approach to data acquisition for EH IoT.
Moreover, we perform an in-depth comparison of the proposed DCS-based approach
against the distributed source coding (DSC) system. These performance
characterizations and comparisons embody the effect of various system phenomena
and parameters including signal correlation, EH correlation, network size, and
energy availability level. Our results unveil that, the proposed approach
offers significant increase in data gathering capability with respect to the
CS-based approach, and offers a substantial reduction of the mean-squared error
distortion with respect to the DSC system.


title:
Algebraic integrable systems related to spectral curves with
  automorphisms

abstract:
  We apply a reduction to the Beauville systems to obtain a family of new
algebraic completely integrable systems, related to curves with a cyclic
automorphism.


title: Feature Graph Architectures

abstract:
  In this article we propose feature graph architectures (FGA), which are deep
learning systems employing a structured initialisation and training method
based on a feature graph which facilitates improved generalisation performance
compared with a standard shallow architecture. The goal is to explore
alternative perspectives on the problem of deep network training. We evaluate
FGA performance for deep SVMs on some experimental datasets, and show how
generalisation and stability results may be derived for these models. We
describe the effect of permutations on the model accuracy, and give a criterion
for the optimal permutation in terms of feature correlations. The experimental
results show that the algorithm produces robust and significant test set
improvements over a standard shallow SVM training method for a range of
datasets. These gains are achieved with a moderate increase in time complexity.


title:
On Rates of Convergence for Markov Chains under Random Time State
  Dependent Drift Criteria

abstract:
  Many applications in networked control require intermittent access of a
controller to a system, as in event-triggered systems or information
constrained control applications. Motivated by such applications and extending
previous work on Lyapunov-theoretic drift criteria, we establish both
subgeometric and geometric rates of convergence for Markov chains under state
dependent random time drift criteria. We quantify how the rate of ergodicity,
nature of Lyapunov functions, their drift properties, and the distributions of
stopping times are related. We finally study an application in networked
control.


title: Finite-time synchronization of tunnel diode based chaotic oscillators

abstract:
  This paper addresses the problem of finite-time synchronization of tunnel
diode based chaotic oscillators. After a brief investigation of its chaotic
dynamics, we propose an active adaptive feedback coupling which accomplishes
the synchronization of tunnel diode based chaotic systems with and without the
presence of delay(s), basing ourselves on Lyapunov and on Krasovskii-Lyapunov
stability theories. This feedback coupling could be applied to many other
chaotic systems. A finite horizon can be arbitrarily established by ensuring
that chaos synchronization is achieved at a pre-established time. An advantage
of the proposed feedback coupling is that it is simple and easy to implement.
Both mathematical investigations and numerical simulatio


title: The exact solution for the Dirac equation with the Cornell potential

abstract:
  An analytical solution of the Dirac equation with a Cornell potential, with
identical scalar and vectorial parts, is presented. The solution is obtained by
using the linear potential solution, related to Airy functions, multiplied by
another function to be determined. The energy levels are obtained and we notice
that they obey a band structure.


title: Nonthermal Fluctuations of the Mitotic Spindle

abstract:
  We present direct measurements of fluctuations in the nucleus of yeast cells.
While prior work has shown these fluctuations to be active and non-thermal in
character, their origin and time dependence are not understood. We show that
the nuclear fluctuations we observe are quantitatively consistent with
uncorrelated, active force fluctuations driving a nuclear medium that is
dominated by an uncondensed DNA solution, for which we perform rheological
measurements on an {\it in vitro} model system under similar conditions to what
is expected in the nucleus.


title:
Peculiar velocities in redshift space: formalism, N-body simulations and
  perturbation theory

abstract:
  Direct measurements of peculiar velocities of galaxies and clusters of
galaxies can in principle provide explicit information on the three dimensional
mass distribution, but this information is modulated by the fact that velocity
field is sampled at galaxy positions, and is thus probing galaxy momentum. We
derive expressions for the cross power spectrum between the density and
momentum field and the auto spectrum of the momentum field in redshift space,
by extending the distribution function method to these statistics. The
resulting momentum cross and auto power spectra in redshift space are expressed
as infinite sums over velocity moment correlators in real space, as is the case
for the density power spectrum in redshift space. We compute each correlator
using Eulerian perturbation theory (PT) and halo biasing model and compare the
resulting redshift-space velocity statistics to those measured from N-body
simulations for both dark matter and halos. We find that in redshift space
linear theory predictions for the density-momentum cross power spectrum as well
as for the momentum auto spectrum fail to predict the N-body results at very
large scales. On the other hand, our nonlinear PT prediction for these velocity
statistics, together with real-space power spectrum for dark matter from
simulations, improves the accuracy for both dark matter and halos. We also
present the same analysis in configuration space, computing the redshift-space
pairwise mean infall velocities and velocity correlation function and compare
to nonlinear PT.


title: Electric control of tunneling energy in graphene double dots

abstract:
  We theoretically investigate the spectrum of a single electron double quantum
dot, defined by top gates in a graphene with a substrate induced gap. We
examine the effects of electric and magnetic fields on the spectrum of
localized states, focusing on the tunability of the inter-dot coupling. We find
that the substrate induced gap allows for electrostatic control, with some
limitations that for a fixed inter-dot distance, the inter-dot coupling can not
be made arbitrarily small due to the Klein tunneling. On the other hand, the
proximity of the valence band in graphene allows for new regimes, such as an
$npn$ double dot, which have no counterparts in GaAs.


title:
Phonon effects on the current noise spectra and the ac conductance of a
  single molecular junction

abstract:
  By using nonequilibrium Green's functions and the equation of motion method,
we formulate a self-consistent field theory for the electron transport through
a single molecular junction (SMJ) coupled with a vibrational mode. We show that
the nonequilibrium dynamics of the phonons in strong electron-phonon coupling
regime can be taken into account appropriately in this self-consistent
perturbation theory, and the self-energy of phonons is connected with the
current fluctuations in the molecular junction. We calculate the
finite-frequency nonsymmetrized noise spectra and the ac conductance, which
reveal a wealth of inelastic electron tunneling characteristics on the
absorption and emission properties of this SMJ. In the presence of a finite
bias voltage and the electron tunneling current, the vibration mode of the
molecular junction is heated and driven to an unequilibrated state. The
influences of unequilibrated phonons on the current and the noise spectra are
investigated.


title:
Asymptotic Behavior of Solutions for Competitive Models with Free
  Boundaries

abstract:
  In this paper, we study a competitive model involving two species. When the
competition is strong enough, the two species are separated by a free boundary.
If the initial data has a positive bound at infinity. We prove that the
solution will converge, as $t\rightarrow \infty$, to the traveling wave
solution and the free boundary will move to infinity with a constant speed.


title: Unextendible Product Basis for Fermionic Systems

abstract:
  We discuss the concept of unextendible product basis (UPB) and generalized
UPB for fermionic systems, using Slater determinants as an analogue of product
states, in the antisymmetric subspace $\wedge^ N \bC^M$. We construct an
explicit example of generalized fermionic unextendible product basis (FUPB) of
minimum cardinality $N(M-N)+1$ for any $N\ge2,M\ge4$. We also show that any
bipartite antisymmetric space $\wedge^ 2 \bC^M$ of codimension two is spanned
by Slater determinants, and the spaces of higher codimension may not be spanned
by Slater determinants. Furthermore, we construct an example of complex FUPB of
$N=2,M=4$ with minimum cardinality $5$. In contrast, we show that a real FUPB
does not exist for $N=2,M=4$ . Finally we provide a systematic construction for
FUPBs of higher dimensions using FUPBs and UPBs of lower dimensions.


title:
Boundary gradient estimates for parabolic and elliptic systems from
  linear laminates

abstract:
  We study boundary gradient estimates for second-order divergence type
parabolic and elliptic systems in $C^{1,\alpha}$ domains. The coefficients and
data are assumed to be H\"older in the time variable and all but one spatial
variables. This type of systems arises from the problems of linearly elastic
laminates and composite materials.


title: NNLO W Pair Production at the LHC: Status Report

abstract:
  We discuss the result with full mass dependence for the virtual NNLO QCD
corrections to the W boson pair production in the quark-anti-quark annihilation
channel. We also report on our progress regarding the treatment of the
double-real radiative corrections which, along with the virtual-real
corrections, are the other two necessary ingredients for a theoretical
prediction of the total cross section for W+ W- production to NNLO accuracy.


title:
Compressive sensing and low-rank libraries for classification of
  bifurcation regimes in nonlinear dynamical systems

abstract:
  We show that for complex nonlinear systems, model reduction and compressive
sensing strategies can be combined to great advantage for classifying,
projecting, and reconstructing the relevant low-dimensional dynamics.
$\ell_2$-based dimensionality reduction methods such as the proper orthogonal
decomposition are used to construct separate modal libraries and Galerkin
models based on data from a number of bifurcation regimes. These libraries are
then concatenated into an over-complete library, and $\ell_1$ sparse
representation in this library from a few noisy measurements results in correct
identification of the bifurcation regime. This technique provides an objective
and general framework for classifying the bifurcation parameters, and
therefore, the underlying dynamics and stability. After classifying the
bifurcation regime, it is possible to employ a low-dimensional Galerkin model,
only on modes relevant to that bifurcation value. These methods are
demonstrated on the complex Ginzburg-Landau equation using sparse, noisy
measurements. In particular, three noisy measurements are used to accurately
classify and reconstruct the dynamics associated with six distinct bifurcation
regimes; in contrast, classification based on least-squares fitting ($\ell_2$)
fails consistently.


title: On the Action of Reparametrization Group on the Space of $L_k^p$-maps I

abstract:
  We prove that the action of reparametrization group on the space of
$L_k^p$-maps is proper, which is defined in this paper.


title:
Meshfree finite differences for vector Poisson and pressure Poisson
  equations with electric boundary conditions

abstract:
  We demonstrate how meshfree finite difference methods can be applied to solve
vector Poisson problems with electric boundary conditions. In these, the
tangential velocity and the incompressibility of the vector field are
prescribed at the boundary. Even on irregular domains with only convex corners,
canonical nodal-based finite elements may converge to the wrong solution due to
a version of the Babuska paradox. In turn, straightforward meshfree finite
differences converge to the true solution, and even high-order accuracy can be
achieved in a simple fashion. The methodology is then extended to a specific
pressure Poisson equation reformulation of the Navier-Stokes equations that
possesses the same type of boundary conditions. The resulting numerical
approach is second order accurate and allows for a simple switching between an
explicit and implicit treatment of the viscosity terms.


title: A paradox in community detection

abstract:
  Recent research has shown that virtually all algorithms aimed at the
identification of communities in networks are affected by the same main
limitation: the impossibility to detect communities, even when these are
well-defined, if the average value of the difference between internal and
external node degrees does not exceed a strictly positive value, in literature
known as detectability threshold. Here, we counterintuitively show that the
value of this threshold is inversely proportional to the intrinsic quality of
communities: the detection of well-defined modules is thus more difficult than
the identification of ill-defined communities.


title:
Origin of Polar Distortion in LiNbO3-type "Ferroelectric" Metals: Role
  of A-site Instability and Short-Range Interactions

abstract:
  Since conduction electrons of a metal screen effectively the local electric
dipole moments, it was widely believed that the ferroelectric-like distortion
cannot occur in metals. Recently, metallic LiOsO3, was discovered to be the
first clear-cut example of an Anderson-Blount "ferroelectric" metal, which at
140 K undergoes a ferroelectric-like structural transition similar to
insulating LiNbO3. This is very surprising because the mechanisms for
structural phase transitions are usually quite distinct in metals and
insulators. Through performing first principles calculations, here we reveal
that the local polar distortion in LiOsO3 is solely due to the instability of
the A-site Li atom, in contrast to the LiNbO3 case where the second order
Jahn-Teller effect of the B-site Nb ion also plays an additional role. More
importantly, the "ferroelectric"-like long range order of the local polar
distortion is found to be due to the predominantly ferroelectric short-range
pair interactions between the local polar modes which are not screened by
conduction electrons. Furthermore, we predict that LiNbO3-type MgReO3 is also a
"ferroelectric" metal, but with a much higher structural transition temperature
by 391 K than LiOsO3. Our work not only unravels the origin of FE-like
distortion in LiNbO3-type "ferroelectric" metals, but also provides clue for
designing other multi-functional "ferroelectric" metals.


title:
Tunable Band Gap and Doping Type in Silicene by Surface Adsorption:
  towards Tunneling Transistors

abstract:
  Structural and electronic properties of silicene adsorbed by five kinds of
transition metal atoms (Cu, Ag, Au, Pt, and Ir) are systematically studied by
using first-principles calculations. We find that such adsorption can induce a
band gap at the Dirac point of doped silicene. Doped silicene can reach a band
gap up to 0.23 eV while keeping a relatively small effective mass of around 0.1
me, thus having high carrier mobility estimated to be 50000 cm2/Vs. P-type
doping and neutral state is realized in silicene by Ir and Pt adsorption,
respectively, while n-type doping is done by Cu, Ag, and Au adsorption. Based
on the knowledge above, a silicene p-i-n tunneling field effect transistor
(TFET) is proposed and simulated by both first-principles and semi-empirical
approaches. Silicene TFET shows high performance with an on-off ratio of 10^3,
a sub-threshold swing of 90 mV/dec, and an on-state current of 1 mA/{\mu}m.
Such an on-state current is even larger than that of most other existing TFETs.


title: Matching distributions: Asset pricing with density shape correction

abstract:
  We investigate a statistical-static hedging technique for pricing assets
considered as single-step stochastic cash flows. The valuation is based on
constructing in a canonical way a European style derivative on a benchmark
security such that the physical payoff distribution coincides with the
(corrected) physical asset price distribution. It turns out that this pricing
technique is economically viable under some natural cases. The fundamental
properties of the pricing rule arising in this way are investigated here. This
gives rise to a novel way of estimating state price density. Our approach has
some tangible benefits: its principle is transparent, and it is easy to
implement numerically while avoiding many issues typically involved in such an
estimation. As an application, it is shown how this method can be used in
performing kurtosis corrections to the standard Black-Scholes-Merton model by a
mixture of several types of distributions. In fact, the technique is
non-parametric in nature, and it can handle in principle any physical
distribution, e.g., a multimodal one. Some other interesting applications are
discussed as well.


title: Search for B0 to p Lambdabar pi- gamma at Belle

abstract:
  We search for the charmless B^0 decay with final state particles p Lambdabar
pi^- gamma using the full data sample that contains 772 * 10^6 B Bar pairs
collected at the Upsilon(4S) resonance with the Belle detector at the KEKB
asymmetric-energy e^+ e^- collider. This decay is predicted to proceed
predominantly via the b to s gamma radiative penguin process with a high energy
photon. No significant signal is found. We set an upper limit of 6.5 * 10^-7
for the branching fraction of B^0 to p Lambdabar pi^- gamma at the 90%
confidence level.


title: The fixed set of the inverse involution on a Lie group

abstract:
  In [H. Duan and S. Liu, The isomorphism type of the centralizer of an element
in a Lie group, Journal of algebra, 376(2013), 25-45], we have determined the
isomorphism type of the centralizer of an element in a simpe Lie group. As a
sequel to [H. Duan and S. Liu, The isomorphism type of the centralizer of an
element in a Lie group, Journal of algebra, 376(2013), 25-45.] we present a
general procedure to calculate the isomorphism type of the fixed set of the
inverse involution on a Lie group.


title: Onset of radial flow in p+p collisions

abstract:
  It has been debated for decades whether hadrons emerging from p+p collisions
exhibit collective expansion. The signal of the collective motion in p+p
collisions is not as clear/clean as in heavy-ion collisions because of the low
multiplicity and large fluctuation in p+p collisions. Tsallis Blast-Wave (TBW)
model is a thermodynamic approach, introduced to handle the overwhelming
correlation and fluctuation in the hadronic processes. We have systematically
studied the identified particle spectra in p+p collisions from RHIC to LHC
using TBW and found no appreciable radial flow in p+p collisions below
$\sqrt{s}=900$ GeV. At LHC higher energy of 7 TeV in p+p collisions, the radial
flow velocity achieves an average value of $<\beta >= 0.320\pm0.005$. This flow
velocity is comparable to that in peripheral (40-60%) Au+Au collisions at RHIC.
Breaking of the identified particle spectra $m_T$ scaling was also observed at
LHC from a model independent test.


title: Dependence space of matroids and its application to attribute reduction

abstract:
  Attribute reduction is a basic issue in knowledge representation and data
mining. Rough sets provide a theoretical foundation for the issue. Matroids
generalized from matrices have been widely used in many fields, particularly
greedy algorithm design, which plays an important role in attribute reduction.
Therefore, it is meaningful to combine matroids with rough sets to solve the
optimization problems. In this paper, we introduce an existing algebraic
structure called dependence space to study the reduction problem in terms of
matroids. First, a dependence space of matroids is constructed. Second, the
characterizations for the space such as consistent sets and reducts are studied
through matroids. Finally, we investigate matroids by the means of the space
and present two expressions for their bases. In a word, this paper provides new
approaches to study attribute reduction.


title:
Geometric lattice structure of covering and its application to attribute
  reduction through matroids

abstract:
  The reduction of covering decision systems is an important problem in data
mining, and covering-based rough sets serve as an efficient technique to
process the problem. Geometric lattices have been widely used in many fields,
especially greedy algorithm design which plays an important role in the
reduction problems. Therefore, it is meaningful to combine coverings with
geometric lattices to solve the optimization problems. In this paper, we obtain
geometric lattices from coverings through matroids and then apply them to the
issue of attribute reduction. First, a geometric lattice structure of a
covering is constructed through transversal matroids. Then its atoms are
studied and used to describe the lattice. Second, considering that all the
closed sets of a finite matroid form a geometric lattice, we propose a
dependence space through matroids and study the attribute reduction issues of
the space, which realizes the application of geometric lattices to attribute
reduction. Furthermore, a special type of information system is taken as an
example to illustrate the application. In a word, this work points out an
interesting view, namely, geometric lattice to study the attribute reduction
issues of information systems.


title:
Supersonic flutter analysis of flat composite panels by unified
  formulation

abstract:
  In this paper, the linear flutter characteristics of laminated composite flat
panels immersed in a supersonic flow is investigated using field consistent
elements within the framework of unified formulation. The influence of the
aerodynamic damping on the supersonic flutter characteristics of flat composite
panels is also investigated. The aerodynamic force is evaluated using
two-dimensional static aerodynamic approximation for high supersonic flow.
Numerical results are presented for laminated composites that bring out the
influence of the flow angle, the boundary conditions, the plate thickness and
the plate aspect ratio on the flutter characteristics.


title:
Connectedness of graphs and its application to connected matroids
  through covering-based rough sets

abstract:
  Graph theoretical ideas are highly utilized by computer science fields
especially data mining. In this field, a data structure can be designed in the
form of tree. Covering is a widely used form of data representation in data
mining and covering-based rough sets provide a systematic approach to this type
of representation. In this paper, we study the connectedness of graphs through
covering-based rough sets and apply it to connected matroids. First, we present
an approach to inducing a covering by a graph, and then study the connectedness
of the graph from the viewpoint of the covering approximation operators.
Second, we construct a graph from a matroid, and find the matroid and the graph
have the same connectedness, which makes us to use covering-based rough sets to
study connected matroids. In summary, this paper provides a new approach to
studying graph theory and matroid theory.


title:
Networked Enzymatic Logic Gates with Filtering: New Theoretical Modeling
  Expressions and Their Experimental Application

abstract:
  We report the first study of a network of connected enzyme-catalyzed
reactions, with added chemical and enzymatic processes that incorporate the
recently developed biochemical filtering steps into the functioning of this
biocatalytic cascade. New theoretical expressions are derived to allow simple,
few-parameter modeling of network components concatenated in such cascades,
both with and without filtering. The derived expressions are tested against
experimental data obtained for the realized network's responses, measured
optically, to variations of its input chemicals' concentrations with and
without filtering processes. We also describe how the present modeling approach
captures and explains several observations and features identified in earlier
studies of enzymatic processes when they were considered as potential network
components for multi-step information/signal processing systems.


title: Tunable Fano resonances in heterogenous Al-Ag nanorod dimer

abstract:
  We theoretically investigate the plasmonic coupling in heterogenous Al-Ag
nanorod dimer. A pronounced Fano dip is found in the extinction spectrum
produced by the destructive interference between the bright dipole mode from a
short Al nanorod and the dark quadrupole mode from a long Ag nanorod nearby.
This Fano resonance can be widely tuned in both wavelength and amplitude by
varying the rod dimensions, the separation distance and the local dielectric
environment. The Al-Ag heterogeneous nanorod dimer shows a high sensitivity to
the surrounding environment with a local surface plasmon resonance figure of
merit of 7.0, which enables its promising applications in plasmonic sensing and
detection.


title:
Rational differential systems, loop equations, and application to the
  q-th reductions of KP

abstract:
  To any solution of a linear system of differential equations, we associate a
kernel, correlators satisfying a set of loop equations, and in presence of
isomonodromic parameters, a Tau function. We then study their semiclassical
expansion (WKB type expansion in powers of the weight hbar per derivative) of
these quantities. When this expansion is of topological type (TT), the
coefficients of expansions are computed by the topological recursion with
initial data given by the semiclassical spectral curve of the linear system.
This provides an efficient algorithm to compute them at least when the
semiclassical spectral curve is of genus 0. TT is a non trivial property, and
it is an open problem to find a criterion which guarantees it is satisfied. We
prove TT and illustrate our construction for the linear systems associated to
the q-th reductions of KP - which contain the (p,q) models as a specialization.


title: Separable rational connectedness and stability

abstract:
  In this short note we prove that in many cases the failure of a variety to be
separably rationally connected is caused by the instability of the tangent
sheaf (if there are no other obvious reasons). A simple application of the
results proves that a smooth Fano complete intersection is separably rationally
connected if and only if it is separably uniruled. In particular, a general
such Fano complete intersection is separably rationally connected.


title: The zeta function for circular graphs

abstract:
  We study the entire function zeta(n,s) which is the sum of l to the power -s,
where l runs over the positive eigenvalues of the Laplacian of the circular
graph C(n) with n vertices. We prove that the roots of zeta(n,s) converge for n
to infinity to the line Re(s)=1/2 in the sense that for every compact subset K
in the complement of this line, and large enough n, no root of the zeta
function zeta(n,s) is in K. To prove this, we look at the Dirac zeta function,
which uses the positive eigenvalues of the Dirac operator D=d+d^* of the
circular graph, the square root of the Laplacian. We extend a
Newton-Coates-Rolle type analysis for Riemann sums and use a derivative which
has similarities with the Schwarzian derivative. As the zeta functions
zeta(n,s) of the circular graphs are entire functions, the result does not say
anything about the roots of the classical Riemann zeta function zeta(s), which
is also the Dirac zeta function for the circle. Only for Re(s)>1, the values of
zeta(n,s) converge suitably scaled to zeta(s). We also give a new solution to
the discrete Basel problem which is giving expressions like zeta_n(2) =
(n^2-1)/12 or zeta_n(4) = (n^2-1)(n^2+11)/45 which allows to re-derive the
values of the classical Basel problem zeta(2) = pi^2/6 or zeta(4)=pi^4/90 in
the continuum limit.


title: Direct observation of any two-point quantum correlation function

abstract:
  The existence of noncompatible observables in quantum theory makes a direct
operational interpretation of two-point correlation functions problematic. Here
we challenge such a view by explicitly constructing a measuring scheme that,
independently of the input state $\rho$ and observables $A$ and $B$, performs
an unbiased optimal estimation of the two-point correlation function
$\operatorname{Tr}[A \ \rho \ B]$. This shows that, also in quantum theory,
two-point correlation functions are as operational as any other expectation
value. A very simple probabilistic implementation of our proposal is presented.


title: The Index of Dirac Operators on Incomplete Edge Spaces

abstract:
  We derive a formula for the index of a Dirac operator on a compact,
even-dimensional incomplete edge space satisfying a "geometric Witt condition".
We accomplish this by cutting off to a smooth manifold with boundary, applying
the Atiyah-Patodi-Singer index theorem, and taking a limit. We deduce
corollaries related to the existence of positive scalar curvature metrics on
incomplete edge spaces.


title: An application of dual convex bodies to the inverse Gauss curvature flow

abstract:
  By means of dual convex bodies, we obtain regularity of solutions to the
expanding Gauss curvature flows with homogeneity degrees $-p$, $0<p<1$. At the
end, we remark that our method can also be used to obtain regularity of
solutions to the shrinking Gauss curvature flows with homogeneity degrees less
than one.


title:
Energy bands in graphene: Comparison between the tight-binding model and
  {\it ab initio} calculations

abstract:
  We compare the classification of the electron bands in graphene, obtained by
group theory algebra in the framework of tight-binding model (TBM), with that
calculated in the density-functional theory (DFT) framework. Identification in
the DFT band-structure of all eight energy bands (four valence and four
conduction bands) corresponding to the TBM-derived energy bands is performed
and corresponding analysis is presented. The four occupied (three $\sigma$- and
one $\pi$-like) and three unoccupied (two $\sigma$- and one $\pi$-like) bands
given by DFT closely correspond to those predicted by TBM, both by their
symmetry and their dispersion law. However, the two lowest lying at the
$\Gamma$-point unoccupied bands (one of them of a $\sigma$-like type and the
other of a $\pi$-like one), are not of TBM type. According both to their
symmetry and to the electron density these bands are plane waves orthogonal to
the TBM valence bands; dispersion of these states can be determined
unambiguously up to the Brillouin zone borders. On the other hand, the fourth
unoccupied band given by the TBM, can be identified among those given by the
DFT band calculations; it is situated rather high with respect to energy. The
interaction of this band with the free-electron states is so strong, that it
exists only in a part of $k$-space.


title:
A one-dimensional diffusion model for overloaded queues with customer
  abandonment

abstract:
  We use an Ornstein--Uhlenbeck (OU) process to approximate the queue length
process in a $GI/GI/n+M$ queue. This one-dimensional diffusion model is able to
produce accurate performance estimates in two overloaded regimes: In the first
regime, the number of servers is large and the mean patience time is comparable
to or longer than the mean service time; in the second regime, the number of
servers can be arbitrary but the mean patience time is much longer than the
mean service time. Using the diffusion model, we obtain Gaussian approximations
for the steady-state queue length and the steady-state virtual waiting time.
Numerical experiments demonstrate that the approximate distributions are
satisfactory for queues in these two regimes.
  To mathematically justify the diffusion model, we formulate the two
overloaded regimes into an asymptotic framework by considering a sequence of
queues. The mean patience time goes to infinity in both asymptotic regimes,
whereas the number of servers approaches infinity in the first regime but does
not change in the second. The OU process is proved to be the diffusion limit
for the queue length processes in both regimes. A crucial tool for proving the
diffusion limit is a functional central limit theorem for the superposition of
time-scaled renewal processes. We prove that the superposition of $n$
independent, identically distributed stationary renewal processes, after being
centered and scaled in both space and time, converges in distribution to a
Brownian motion as $n$ goes to infinity.


title: Model categories with simple homotopy categories

abstract:
  In the present article, we describe constructions of model structures on
general bicomplete categories. We are motivated by the following question:
given a category $\mathcal{C}$ with a subcategory $w\mathcal{C}$ closed under
retracts, when is there a model structure on $\mathcal{C}$ with $w\mathcal{C}$
as the subcategory of weak equivalences? We begin exploring this question in
the case where $w\mathcal{C} = F^{-1}(\mathrm{iso}\, \mathcal{D})$ for some
functor $F:\mathcal{C}\rightarrow \mathcal{D}$. We also prove properness of our
constructions under minor assumptions and examine an application to the
category of infinite graphs.


title: Classification of finite-multiplicity symmetric pairs

abstract:
  We give a complete classification of the reductive symmetric pairs (G,H) for
which the homogeneous space $(G \times H)/diag(H)$ is real spherical in the
sense that a minimal parabolic subgroup has an open orbit.
  Combining with a criterion established in [T. Kobayashi--T. Oshima, Adv.
Math. 2013], we give a necessary and sufficient condition for a reductive
symmetric pair $(G,H)$ such that the multiplicities for the branching law of
the restriction any admissible smooth representation of $G$ to $H$ have
finiteness/boundedness property.


title: Operator analogues of Mahler's measure

abstract:
  Motivated by a geometric meaning of Mahler's measure, we introduce two
operator analogues of Mahler's measure. This leads to some interesting
equalities and inequalities between the two operator-theoretic Mahler measures
and the classical Mahler measure. In order to apply these results to the
operator version of Lehmer's problem, we introduce and study an important class
of operators, the so-called subharmonic operators. It is shown that the
operator version of Lehmer's problem fails under some mild condition.


title: Equivariant Hopf bifurcation with arbitrary pressure laws

abstract:
  The equivariant Hopf bifurcation dynamics of a class of system of partial
differential equations is carefully studied. The connections between the
current dynamics and fundamental concepts in hyperbolic conservation laws are
explained. The unique approximation property of center manifold reduction
function is used in the current work to determine certain parameter in the
normal form. The current work generalizes the study of the second author ([J.
Yao, $O(2)$-Hopf bifurcation for a model of cellular shock instability, Physica
D, 269 (2014), 63-75.]) and supplies a class of examples of $O(2)$ Hopf
bifurcation with two parameters arising from systems of partial differential
equations.


title:
Higgs data confronts Sequential Fourth Generation Fermions in the Higgs
  Triplet Model

abstract:
  We investigate the effect of introducing a sequential generation of chiral
fermions in the Higgs Triplet Model with nontrivial mixing between the doublet
and triplet Higgs. We use the available LHC data for Higgs boson production and
decay rates, the constraints on the fourth generation masses, and impose
electroweak precision constraints from the S, T and U parameters. Our analysis
shows that an SM-like Higgs boson state at ~125 GeV can be accommodated in the
Higgs Triplet Model with four generations, and thus, that four generations
survive collider and electroweak precision constraints in models beyond SM.


title:
Effects of Circulating Energetic Ions on Geodesic Acoustic Modes with
  Finite Wave Numbers

abstract:
  Effects of circulating energetic particles on the geodesic acoustic modes
(GAMs) with finite wave numbers are analyzed by using the hybrid kinetic-fluid
model. The dispersion relation is derived by adopting the slowing beam ions
distribution function in the presence of finite parallel wave number (FPWN),
which is shown to affect the GAM as the toroidal rotation to the classical GAMs
with zero wave numbers. The effects of CEIs can be divided into two parts. One
is contributed by the poloidal angle and kinetic energy dependencies of the
unperturbed distribution function, and is independent of the poloidal and
toroidal wave numbers. The other related to the radial gradient of the CEIs
pressure is proportional to the poloidal wave number, and is shown to play
destabilizing effect on the GAMs. The critical condition responsible for an
instability is analytically presented.


title:
Tensor to scalar ratio and large scale power suppression from pre-slow
  roll initial conditions

abstract:
  We study corrections to the power spectra of curvature and tensor
perturbations and the tensor-to-scalar ratio in single field slow roll
inflation due to initial conditions imprinted by a fast-roll stage prior to
slow roll. For a wide range of initial inflaton kinetic energy, this stage
lasts only a few e-folds and merges smoothly with slow-roll leading to
non-Bunch-Davies initial conditions for modes that exit the Hubble radius
during slow roll. We describe a program that yields the dynamics in the
fast-roll stage while matching to the slow roll stage independent of the
inflationary potentials. Corrections to the power spectra are encoded in a
transfer function $\mathcal{T}_\alpha(k)$. We obtain $\mathcal{T}_\alpha(k)$ to
leading order in a Born approximation valid for modes of observational
relevance today. A fit yields $\mathcal{T}_\alpha(k) =1+
A_{\alpha}k^{-p}\cos[2\pi \omega k/H_{sr}+\varphi_\alpha]$, with $1.5 \lesssim
p \lesssim 2$, $\omega \simeq 1$ and $H_{sr}$ the Hubble scale during slow roll
inflation, where curvature and tensor perturbations feature the same $p,\omega$
for a wide range of initial conditions. These corrections lead to both a
suppression of the quadrupole and oscillatory features in both $P_R(k)$ and
$r(k_0)$ with a period of the order of the Hubble scale during slow roll
inflation. The results are independent of the specific inflationary potentials,
depending solely on the ratio of kinetic to potential energy $\kappa$ and the
slow roll parameters to leading order. For a wide range of $\kappa$ and the
values of $\epsilon_V;\eta_V$ corresponding to the upper bounds from Planck, we
find that the low quadrupole is consistent with the results from Planck, and
the oscillations in $r(k_0)$ could be observable if the modes corresponding to
the quadrupole and the pivot scale crossed the Hubble radius a few e-folds
after the onset of slow roll.


title:
Three New Families of Zero-difference Balanced Functions with
  Applications

abstract:
  Zero-difference balanced (ZDB) functions integrate a number of subjects in
combinatorics and algebra, and have many applications in coding theory,
cryptography and communications engineering. In this paper, three new families
of ZDB functions are presented. The first construction, inspired by the recent
work \cite{Cai13}, gives ZDB functions defined on the abelian groups $(\gf(q_1)
\times \cdots \times \gf(q_k), +)$ with new and flexible parameters. The other
two constructions are based on $2$-cyclotomic cosets and yield ZDB functions on
$\Z_n$ with new parameters. The parameters of optimal constant composition
codes, optimal and perfect difference systems of sets obtained from these new
families of ZDB functions are also summarized.


title:
Constraints on supermassive black hole spins from observations of active
  galaxy jets

abstract:
  We discuss the origin of the low-energy cutoff, or LEC, seen in the radio
spectra of many extragalactic jets and relate this to the spin of the
supermassive black holes that presumably power them. Pion decay via
proton-proton collisions is a possible mechanism to supply a secondary positron
population with a low energy limit. We expect that pion production would occur
in advection dominated accretion flows or ADAFs. In radiatively inefficient
ADAFs the heat energy of the accreting gas is unable to radiate in less than
the accretion time and the particle temperature could be high enough so that
thermal protons can yield such pion production. Strong starbursts are another
option for the injection of a truncated particle population into the jet. The
role of both mechanisms is discussed with respect to the black hole spin
estimate. The energy demanded to produce the pion decay process involves a
minimum threshold for kinetic energy of the interacting protons. Therefore the
mean proton speed in the flow can determine whether a LEC is generated. In
ADAFs the random velocity of the protons can exceed the minimum speed limit of
pion production around the jet launching region in the innermost part of the
flow. Finally we summarize the additional work needed to put the model
assumptions on a more rigorous basis.


title: Role of transversity in spin effects in meson leptoproduction

abstract:
  We analyze the light meson leptoproduction within the handbag approach. We
show that effects determined by the transversity Generalized Parton
Distributions (GPDs), $H_T$ and $\bar E_T$ are essential in the description of
pseudoscalar and vector meson leptoproduction.


title:
Supermassive Black Holes and Nuclear Star Clusters: Connection with the
  Host Galaxy Kinematics and Color

abstract:
  We consider the relationship between the masses of the central objects in
disky galaxies - supermassive black holes (SMBHs) and nuclear star clusters
(NCs) - and various parameters of parent galaxies: velocity of rotation
$V_{(2)}$ at $R= 2$ kpc, maximal velocity of rotation $V_{\textrm{max}}$, the
indicative dynamical mass $M_{25}$, the total mass of the stellar population
$M_{*}$, and the total color index ($B{-}V$). The mass of nuclear clusters
$M_{\rm nc}$ correlates more closely with the kinematic parameters and total
mass of galaxies than the mass of central black holes $M_{\rm bh}$, including
correlation with the velocity $V_{\textrm{max}}$, which characterizes the
virial mass of the dark halo. On average, lenticular galaxies are distinguished
by higher masses $M_{\rm bh}$ compared to other types of galaxies with similar
characteristics. The dependence of masses of central objects on the color index
is bimodal: galaxies of the red group (red-sequence), which have ($B{-}V) >
0.6{-}0.7$, being mostly early-type galaxies, differ from bluer galaxies, by
higher values of $M_{\rm nc}$ and $M_{\rm bh}$. The red-group galaxies have
systematically higher $M_{\rm bh}$ values, even when the host-galaxy parameters
are similar. In contrast, in the case of nuclear stellar clusters, the "blue"
and "red" galaxies form unified sequences at the diagrams. The results agree
with scenarios in which most red-group galaxies form as a result of the partial
or complete loss of interstellar gas in a stage of high nuclear activity in
galaxies whose central black-hole mass exceeds $10^6 {-} 10^7 M_{\odot}$
(depending on the total mass of a galaxy). Most of galaxies with $M_{\rm bh}>
10^7 M_{\odot}$ are lenticular galaxies (types S0, E/S0), whose disks are
usually devoid of gas.


title: Modulational Instability in Basic Plasma and Geophysical Models

abstract:
  This is a review of the theory of the modulational instability in idealised
fluid models of strongly magnetised plasmas and reduced models of geophysical
fluid dynamics, particularly the role it plays in the formation of zonal flows.
The discussion focusses on the Charney-Hasegawa-Mima and Hasegawa-Wakatani
models. Particular attention is paid to the wave turbulence - zonal flow
feedback loop whereby large scale zonal flows which are initially generated by
modulational instability of small-scale drift/Rossby waves tend to subsequently
suppress these small scale waves by their shearing action. This negative
feedback can result in a dynamic equilibrium in which large scale zonal flows
grow by drawing energy from small scale turbulence but suppress the small scale
turbulence in the process until a balance is reached. In this regime, the level
of small scale turbulence is greatly reduced compared to the level one would
observe in the absence of the zonal flows.


title: Minimal Idempotents on Solvable Groups

abstract:
  In this paper, we begin to develop a theory of character sheaves on an affine
algebraic group $G$ defined over an algebraically closed field $k$ of
characteristic $p>0$ using the approach developed by Boyarchenko and Drinfeld
for unipotent groups. Let $l$ be a prime different from $p$. Following
Boyarchenko and Drinfeld, we define the notion of an admissible pair on $G$ and
the corresponding idempotent in the $\overline{\mathbb{Q}_l}$-linear
triangulated braided monoidal category $\mathscr{D}_G(G)$ of conjugation
equivariant $\overline{\mathbb{Q}_l}$-complexes (under convolution with compact
support) and study their properties. We aim to break up the braided monoidal
category $\mathscr{D}_G(G)$ into smaller and more manageable pieces
corresponding to these idempotents in $\mathscr{D}_G(G)$. Drinfeld has
conjectured that the idempotent in $\mathscr{D}_G(G)$ obtained from an
admissible pair is in fact a minimal idempotent and that any minimal idempotent
in $\mathscr{D}_G(G)$ can be obtained from some admissible pair on $G$. We will
prove this conjecture in the case when the neutral connected component $G^\circ
\subset G$ is a solvable group. For general groups, we prove that this
conjecture is in fact equivalent to an a priori weaker conjecture. Using these
results, we reduce the problem of defining character sheaves on general
algebraic groups to a special case which we call the "Heisenberg case".


title:
Reformulating the TBA equations for the quark anti-quark potential and
  their two loop expansion

abstract:
  The boundary thermodynamic Bethe Ansatz (BTBA) equations introduced in
arXiv:1203.1913 and arXiv:1203.1617 to describe the cusp anomalous dimension
contain imaginary chemical potentials and singular boundary fugacities, which
make its systematic expansion problematic. We propose an alternative
formulation based on real chemical potentials and additional source terms. We
expand our equations to double wrapping order and find complete agreement with
the direct two-loop gauge theory computation of the cusp anomalous dimension.


title: Modification of Contract Net Protocol(CNP) : A Rule-Updation Approach

abstract:
  Coordination in multi-agent system is very essential, in order to perform
complex tasks and lead MAS towards its goal. Also, the member agents of
multi-agent system should be autonomous as well as collaborative to accomplish
the complex task for which multi-agent system is designed specifically.
Contract-Net Protocol (CNP) is one of the coordination mechanisms which is used
by multi-agent systems which prefer coordination through interaction protocols.
In order to overcome the limitations of conventional CNP, this paper proposes a
modification in conventional CNP called updated-CNP. Updated-CNP is an effort
towards updating of a CNP in terms of its limitations of modifiability and
communication overhead. The limitation of the modification of tasks, if the
task requirements change at any instance, corresponding to tasks which are
allocated to contractor agents by manager agents is possible in our updated-CNP
version, which was not possible in the case of conventional-CNP, as it has to
be restarted in the case of task modification. This in turn will be reducing
the communication overhead of CNP, which is time taken by various agents using
CNP to pass messages to each other. For the illustration of the updated CNP, we
have used a sound predator-prey case study.


title:
Pair production of 125 GeV Higgs boson in the SM extension with
  color-octet scalars at the LHC

abstract:
  Although the Higgs boson mass and single production rate have been determined
more or less precisely, its other properties may deviate significantly from its
predictions in the standard model (SM) due to the uncertainty of Higgs data. In
this work we study the Higgs pair production at the LHC in the Manohar-Wise
model, which extends the SM by one family of color-octet and isospin-doublet
scalars. We first scanned over the parameter space of the Manohar-Wise model
considering exprimental constraints and performed fits in the model to the
latest Higgs data by using the ATLAS and CMS data separately. Then we
calculated the Higgs pair production rate and investigated the potential of its
discovery at the LHC14. We conclude that: (i) Under current constrains
including Higgs data after Run I of the LHC, the cross section of Higgs pair
production in the Manohar-Wise model can be enhanced up to even $10^3$ times
prediction in the SM. (ii) Moreover, the sizable enhancement comes from the
contributions of the CP-odd color-octet scalar $S^A_I$. For lighter scalar
$S^A_I$ and larger values of $|\lambda_I|$, the cross section of Higgs pair
production can be much larger. (iii) After running again of LHC at 14 TeV, most
of the parameter spaces in the Manohar-Wise model can be test. For an
integrated luminosity of 100 fb$^{-1}$ at the LHC14, when the normalized ratio
$R=10$, the process of Higgs pair production can be detected.


title: Comparison of CPO and FCN empirical models

abstract:
  In this presentation, several publicly available empiric models of the
celestial pole offset (CPO) and free core nutation (FCN), included those
developed by the author, are investigated and compared each other from
different points of view, such as representation of the observation data, FCN
parameters variation, prediction accuracy. Based on this study, some practical
recommendations are proposed.


title: Signatures of the neutrino mass hierarchy in supernova neutrinos

abstract:
  The undetermined neutrino mass hierarchy may leave an observable imprint on
the neutrino fluxes from a core-collapse supernova (SN). The interpretation of
the observables, however, is subject to the uncertain SN models and the flavor
conversion mechanism of neutrinos in a SN. We attempt to propose a qualitative
interpretation of the expected neutrino events at terrestrial detectors,
focusing on the accretion phase of the neutrino burst. The flavor conversions
due to neutrino self-interaction, the MSW effect, and the Earth regeneration
effect are incorporated in the calculation. It leads to several distinct
scenarios that are identified by the neutrino mass hierarchies and the
collective flavor transitions. Consequences resulting from the variation of
incident angles and SN models are also discussed.


title: Composite-kink solutions of coupled nonlinear wave equations

abstract:
  We obtain exact traveling-wave solutions of the coupled nonlinear partial
differential equations that describe the dynamics of two classical scalar
fields in 1+1 dimensions. The solutions are kinks interpolating between
neighboring vacua. We compute the classical kink mass and show that it
saturates a Bogomol'nyi-type bound. We also present exact traveling-wave
solutions of a more general class of models. Examples include coupled $\phi^4$
and sine-Gordon models.


title:
Finite-amplitude method: An extension to the covariant density
  functionals

abstract:
  The finite-amplitude method (FAM) is one of the most promising methods for
optimizing the computational performance of the random-phase approximation
(RPA) calculations in deformed nuclei. In this report, we will mainly focus on
our recent progress in the self-consistent relativistic RPA established by
using the FAM. It is found that the effects of Dirac sea can be taken into
account implicitly in the coordinate-space representation and the rearrangement
terms due to the density-dependent couplings can be treated without extra
computational costs.


title: Post-Quantum Cryptography: Code-based Signatures

abstract:
  This survey provides a comparative overview of code-based signature schemes
with respect to security and performance. Furthermore, we explicitly describe
serveral code-based signature schemes with additional properties such as
identity-based, threshold ring and blind signatures.


title: Interference of Identical Particles from Entanglement to Boson-Sampling

abstract:
  Progress in the reliable preparation, coherent propagation and efficient
detection of many-body states has recently brought collective quantum phenomena
of many identical particles into the spotlight. This tutorial introduces the
physics of many-boson and many-fermion interference required for the
description of current experiments and for the understanding of novel
approaches to quantum computing.
  The field is motivated via the two-particle case, for which the uncorrelated,
classical dynamics of distinguishable particles is compared to the quantum
behaviour of identical bosons and fermions. Bunching of bosons is opposed to
anti-bunching of fermions, while both species constitute equivalent sources of
bipartite two-level entanglement. The realms of indistinguishable and
distinguishable particles are connected by a monotonic transition, on a scale
defined by the coherence length of the interfering particles.
  As we move to larger systems, any attempt to understand many particles via
the two-particle paradigm fails: In contrast to two-particle bunching and
anti-bunching, the very same signatures can be exhibited by bosons and
fermions, and coherent effects dominate over statistical behaviour. The
simulation of many-boson interference, termed Boson-Sampling, entails a
qualitatively superior computational complexity when compared to fermions. The
hierarchy between bosons and fermions also characterises multipartite
entanglement generation, for which bosons again clearly outmatch fermions.
Finally, the quantum-to-classical transition between many indistinguishable and
many distinguishable particles features non-monotonic structures. While the
same physical principles govern small and large systems, the deployment of the
intrinsic complexity of collective many-body interference makes more particles
behave differently.


title:
Three-dimensional N=2 supergravity theories: From superspace to
  components

abstract:
  For general off-shell N=2 supergravity-matter systems in three spacetime
dimensions, a formalism is developed to reduce the corresponding actions from
superspace to components. The component actions are explicitly computed in the
cases of Type I and Type II minimal supergravity formulations. We describe the
models for topologically massive supergravity which correspond to all the known
off-shell formulations for three-dimensional N=2 supergravity. We also present
a universal setting to construct supersymmetric backgrounds associated with
these off-shell supergravities.


title: $W' \to hH^{\pm}$ decay in $G(221)$ models

abstract:
  Based on extended $SU(2)_1 \times SU(2)_2 \times U(1)_\text{X}$ gauge groups,
$G(221)$ models predict the existence of an additional heavy gauge boson $W'$
and of a heavy charged Higgs boson $H^\pm$. Within this model we calculate the
coupling of the $W'$ to $(h,H^{\pm})$, where $h$ can be identified with the
Standard Model Higgs boson discovered recently at LHC. Using a phenomenological
constraint on the ratio of the symmetry breaking scales in $G(221)$ models, the
$W' \to hH^{\pm}$ decay width and the $(h,H^{\pm})$ production cross section
via an intermediate $W'$ in $pp$ collisions at $\sqrt{s} = 8$ TeV are
calculated. Fiducial cross sections obtained with $G(221)$ models for several
final states are compared with recent results in searches for supersymmetry at
LHC published by the ATLAS Collaboration.


title:
Energy dependence of femtoscopy properties of pion source in nuclear
  collisions

abstract:
  In the paper energy dependence of femtoscopy characteristics of pion emission
region at freeze-out is investigated for collisions of various ions and for all
experimentally available energies. For the first time the normalized values of
radii and volume of source are used for energy dependence. This approach allows
us to expand the set of interaction types, in particular, on non-symmetrical
nucleus-nucleus collisions which can be studied in the framework of common
approach. There are no the sharp changing of femtoscopic parameter values, in
particular, $R_{o}/R_{s}$ with increasing of $\sqrt{s_{NN}}$ which were
predicted by some phenomenological models as signature of first order phase
transition in strongly interacting matter. The generalized parameterization for
femtoscopic correlation function is suggested.


title: Spin-polarized hydrogen adsorbed on the surface of superfluid 4He

abstract:
  The experimental realization of a thin layer of spin-polarized hydrogen
adsorbed on top of the surface of superfluid 4He provides one of the best
examples of a stable nearly two-dimensional quantum Bose gas. We report a
theoretical study of this system using quantum Monte Carlo methods in the limit
of zero temperature. Using the full Hamiltonian of the system, composed of a
superfluid 4He slab and the adsorbed hydrogen layer, we calculate the main
properties of its ground state using accurate models for the pair interatomic
potentials. Comparing the results for the layer with the ones obtained for a
strictly two-dimensional (2D) setup, we analyze the departure from the 2D
character when the density increases. Only when the coverage is rather small
the use of a purely 2D model is justified. The condensate fraction of the layer
is significantly larger than in 2D at the same surface density, being as large
as $60\%$ at the largest coverage studied.


title: Dense graph limits under respondent-driven sampling

abstract:
  We consider certain respondent-driven sampling procedures on dense graphs. We
show that if the sequence of the vertex-sets is ergodic then the limiting graph
can be expressed in terms of the original dense graph via a transformation
related to the invariant measure of the ergodic sequence. For specific sampling
procedures, we describe the transformation explicitly.


title:
Combined hybrid functional and DFT+$U$ calculations for metal
  chalcogenides

abstract:
  In the density-functional studies of materials with localized electronic
states, the local/semilocal exchange-correlation functionals are often either
combined with a Hubbard parameter $U$ as in the LDA+$U$ method or mixed with a
fraction of exactly computed (Fock) exchange energy yielding a hybrid
functional. Although some inaccuracies of the semilocal density approximations
are thus fixed to a certain extent, the improvements are not sufficient to make
the predictions agree with the experimental data. Here we put forward the
perspective that the hybrid functional scheme and the LDA+$U$ method should be
treated as complementary, and propose to combine the range-separated (HSE)
hybrid functional with the Hubbard $U$. We thus present a variety of HSE+$U$
calculations for a set of II-VI semiconductors, consisting of zinc and cadmium
monochalcogenides, along with comparison to the experimental data. Our findings
imply that an optimal value $U^\ast$ of the Hubbard parameter could be
determined, which ensures that the HSE+$U^\ast$ calculation reproduces the
experimental band gap. It is shown that an improved description not only of the
electronic structure but also of the crystal structure and energetics is
obtained by adding the $U^\ast$ term to the HSE functional, proving the utility
of HSE+$U^\ast$ approach in modeling semiconductors with localized electronic
states.


title: Collective resonant modes of a meta-surface

abstract:
  A periodic layer of resonant scatterers is considered in the dipolar
approximation. An asymptotic expression for the field diffracted is given in
terms of an impedance operator. It is shown that surface Bloch modes appear as
a collective effect due to the resonances of the scatterers.


title: Radiative n11B capture accounting 21 and 430 keV resonances

abstract:
  In the framework of the modified potential cluster model the possibility of
describing the available experimental data for the total cross sections for
n11B radiative capture at thermal and astrophysical energies were considered
with taking into account the 21 and 430 keV resonances.