title:
Static weak dipole moments of the $\tau$ lepton via renormalizable
  scalar leptoquark interactions

abstract:
  The weak dipole moments of elementary fermions are calculated at the one-loop
level in the framework of a renormalizable scalar leptoquark model that forbids
baryon number violating processes and so is free from the strong constraints
from experimental data. In this model there are two scalar leptoquarks
accommodated in an $SU_L(2)\times U_Y(1)$ doublet: one of such leptoquarks is
non-chiral and has electric charge of $5/3e$, whereas the other one is chiral
and has electric charge $2/3e$. In particular, a non-chiral leptoquark
contributes to the weak properties of an up fermion via a chirality
flipping-term proportional to the mass of the virtual fermion and can also
induce a non-zero weak electric dipole moment provided that the leptoquark
couplings are complex. The numerical analysis is focused on the weak properties
of the $\tau$ lepton since they offer good prospects for their experimental
study. The constraints on leptoquark couplings are briefly discussed for a
non-chiral leptoquark with non diagonal couplings to the second and third
fermion generations, a third-generation non-chiral leptoquark, and a
third-generation chiral leptoquark. It is found that although the
chirality-flipping term can enhance the weak properties of the $\tau$ lepton
via the top quark contribution, such an enhancement would be offset by the
strong constraints on the leptoquark couplings. So, the contribution of scalar
leptoquarks to the weak magnetic dipole moment of the $\tau$ lepton are smaller
than the standard model (SM) contributions but can be of similar size than
those arising in some SM extensions. A non-chiral leptoquark can also give
contributions to the weak electric dipole moment larger than the SM one but
well below the experimental limit. We also discuss the case of the off-shell
weak dipole moments and for completeness analyze the behavior of the $\tau$
electromagnetic properties.


title: Kenneth Geddes Wilson

abstract:
  A look back at Kenneth Wilson's contributions to theoretical physics, with
some reminiscences of the professor I encountered at Cornell during the 1980s.


title:
Three-gluon contribution to the single spin asymmetry for light hadron
  production in pp collision

abstract:
  We study the twist-3 three-gluon contribution to the single spin asymmetry in
the light-hadron production in pp collision in the framework of the collinear
factorization. We derive the corresponding cross section formula in the leading
order with respect to the QCD coupling constant. We also present a numerical
calculation of the asymmetry at the RHIC energy, using a model for the
three-gluon correlation functions suggested by the asymmetry observed in the
$D$-meson production at RHIC.


title:
All-Metallic Electrically-Gated Tantalum Diselenide Switches and Logic
  Circuits

abstract:
  We report the fabrication and performance of all-metallic three-terminal
devices with tantalum diselenide thin-film conducting channels. For this
proof-of-concept demonstration, the layers of 2H-TaSe2 were exfoliated
mechanically from single crystals grown by the chemical vapor transport method.
Devices with nanometer-scale thicknesses exhibit strongly non-linear
current-voltage characteristics, unusual optical response, and electrical
gating at room temperature. We have found that the drain-source current in
thin-film 2H-TaSe2-Ti/Au devices reproducibly shows an abrupt transition from a
highly resistive to a conductive state, with the threshold tunable via the gate
voltage. Such current-voltage characteristics can be used in principle for
implementing radiation-hard all-metallic logic circuits. These results may open
new application space for thin films of van der Waals materials.


title:
Tunneling Spectroscopy of a Spiral Luttinger Liquid in Contact with
  Superconductors

abstract:
  One-dimensional wires with Rashba spin-orbit coupling, magnetic field, and
strong electron-electron interactions are described by a spiral Luttinger
liquid model. We develop a theory to investigate the tunneling density of
states into a spiral Luttinger liquid under the proximity effect with
superconductors. This approach provides a way to disentangle the delicate
interplay between superconducting correlations and strong electron
interactions. If the wire-superconductor boundary is dominated by Andreev
reflection, we find that in the vicinity of the interface the zero-bias
tunneling anomaly reveals a power law enhancement with the unusual exponent.
Far away from the interface strong correlations inherent to the Luttinger
liquid prevail and restore conventional suppression of the tunneling density of
states at the Fermi level, which acquire, however, a Friedel-like oscillatory
envelope with the period renormalized by the strength of the interaction.


title: Meteor process on ${\mathbb Z}^d$

abstract:
  The meteor process is a model for mass redistribution on a graph. The case of
finite graphs was analyzed in \cite{BBPS}. This paper is devoted to the meteor
process on ${\mathbb Z}^d$. The process is constructed and a stationary
distribution is found. Convergence to this stationary distribution is proved
for a large family of initial distributions. The first two moments of the mass
distribution at a vertex are computed for the stationary distribution. For the
one-dimensional lattice ${\mathbb Z}$, the net flow of mass between adjacent
vertices is shown to have bounded variance as time goes to infinity. An
alternative representation of the process on ${\mathbb Z}$ as a collection of
non-crossing paths is presented. The distributions of a "tracer particle" in
this system of non-crossing paths are shown to be tight as time goes to
infinity.


title:
Excitation spectrum as a resource for efficient two-qubit entangling
  gates

abstract:
  Physical systems representing qubits typically have one or more accessible
quantum states in addition to the two states that encode the qubit. We
demonstrate that active involvement of such auxiliary states can be beneficial
in constructing entangling two-qubit operations. We investigate the general
case of two multi-state quantum systems coupled via a quantum resonator. The
approach is illustrated with the examples of three systems: self-assembled
InAs/GaAs quantum dots, NV-centers in diamond, and superconducting transmon
qubits. Fidelities of the gate operations are calculated based on numerical
simulations of each system.


title: Quotients of conic bundles

abstract:
  Let k be an arbitrary field of characteristic zero. In this paper we study
quotients of k-rational conic bundles over projective line by finite groups of
automorphisms. We construct smooth minimal models for such quotients. We show
that any quotient is birationally equivalent to a quotient of other k-rational
conic bundle cyclic group of order $2^k$, dihedral group of order $2^k$,
alternating group of degree $4$, symmetric group of degree $4$ or alternating
group of degree $5$ effectively acting on the base of conic bundle. Also we
construct infinitely many examples of such quotients which are not
k-birationally equivalent to each other.


title: Low-Frequency 1/f Noise in Molybdenum Disulfide Transistors

abstract:
  We report on the results of the low-frequency (1/f, where f is frequency)
noise measurements in MoS2 field-effect transistors revealing the relative
contributions of the MoS2 channel and Ti/Au contacts to the overall noise
level. The investigation of the 1/f noise was performed for both as fabricated
and aged transistors. It was established that the McWhorter model of the
carrier number fluctuations describes well the 1/f noise in MoS2 transistors,
in contrast to what is observed in graphene devices. The trap densities
extracted from the 1/f noise data for MoS2 transistors, are 1.5 x 10^19
eV-1cm-3 and 2 x 10^20 eV-1cm-3 for the as fabricated and aged devices,
respectively. It was found that the increase in the noise level of the aged
MoS2 transistors is due to the channel rather than the contact degradation. The
obtained results are important for the proposed electronic applications of MoS2
and other van der Waals materials.


title: Quantum curves for the enumeration of ribbon graphs and hypermaps

abstract:
  The topological recursion of Eynard and Orantin governs a variety of problems
in enumerative geometry and mathematical physics. The recursion uses the data
of a spectral curve to define an infinite family of multidifferentials. It has
been conjectured that, under certain conditions, the spectral curve possesses a
non-commutative quantisation whose associated differential operator annihilates
the partition function for the spectral curve. In this paper, we determine the
quantum curves and partition functions for an infinite sequence of enumerative
problems involving generalisations of ribbon graphs known as hypermaps. These
results give rise to an explicit conjecture relating hypermap enumeration to
the topological recursion and we provide evidence to support this conjecture.


title:
Two-Component Secular Gravitational Instability in a Protoplanetary
  Disk: A Possible Mechanism for Creating Ring-Like Structures

abstract:
  The instability in protoplanetary disks due to gas-dust friction and
self-gravity of gas and dust is investigated by linear analysis. In the case
where the dust to gas ratio is enhanced and turbulence is week, the instability
grows, even in gravitationally stable disks, on a timescale of order $10^{4-
5}$yr at a radius of order 100AU. If we ignore the dynamical feedback from dust
grains in the gas equation of motion, the instability reduces to the so-called
"secular gravitational instability", which was investigated previously as an
instability of dust in a fixed background gas flow. In this work, we solve the
equations of motion for both gas and dust consistently and find that
long-wavelength perturbations are stable, in contrast to the secular
gravitational instability in the simplified treatment. This may indicate that
we should not neglect small terms in equation of motion if the growth rate is
small. The instability is expected to form ring structures in protoplanetary
disks. The width of the ring formed at a radius of 100 AU is a few tens of AU.
Therefore, the instability is a candidate for the formation mechanism of
observed ring-like structures in disks. Another aspect of the instability is
the accumulation of dust grains, and hence the instability may play an
important role in the formation of planetesimals, rocky protoplanets, and cores
of gas giants located at radii $\sim$100 AU. If these objects survive the
dispersal of the gaseous component of the disk, they may be the origin of
debris disks.


title:
A perturbative and gauge invariant treatment of gravitational wave
  memory

abstract:
  We present a perturbative treatment of gravitational wave memory. The
coordinate invariance of Einstein's equations leads to a type of gauge
invariance in perturbation theory. As with any gauge invariant theory, results
are more clear when expressed in terms of manifestly gauge invariant
quantities. Therefore we derive all our results from the perturbed Weyl tensor
rather than the perturbed metric. We derive gravitational wave memory for the
Einstein equations coupled to a general energy-momentum tensor that reaches
null infinity.


title: Matrix recovery using Split Bregman

abstract:
  In this paper we address the problem of recovering a matrix, with inherent
low rank structure, from its lower dimensional projections. This problem is
frequently encountered in wide range of areas including pattern recognition,
wireless sensor networks, control systems, recommender systems, image/video
reconstruction etc. Both in theory and practice, the most optimal way to solve
the low rank matrix recovery problem is via nuclear norm minimization. In this
paper, we propose a Split Bregman algorithm for nuclear norm minimization. The
use of Bregman technique improves the convergence speed of our algorithm and
gives a higher success rate. Also, the accuracy of reconstruction is much
better even for cases where small number of linear measurements are available.
Our claim is supported by empirical results obtained using our algorithm and
its comparison to other existing methods for matrix recovery. The algorithms
are compared on the basis of NMSE, execution time and success rate for varying
ranks and sampling ratios.


title: Jet energy scale determination in the D0 experiment

abstract:
  The calibration of jet energy measured in the \DZero detector is presented,
based on ppbar collisions at a center-of-mass energy of 1.96 TeV at the
Fermilab Tevatron collider. Jet energies are measured using a sampling
calorimeter composed of uranium and liquid argon as the passive and active
media, respectively. This paper describes the energy calibration of jets
performed with photon+jet, Z+jet and dijet{} events, with jet transverse
momentum pT > 6 GeV and pseudorapidity range |eta| < 3.6. The corrections are
measured separately for data and simulation, achieving a precision of 1.4%-1.8%
for jets in the central part of the calorimeter and up to 3.5% for the jets
with pseudorapidity |eta| = 3.0. Specific corrections are extracted to enhance
the description of jet energy in simulation and in particular of the effects
due to the flavor of the parton originating the jet, correcting biases up to
3%-4% in jets with low pT originating from gluons and up to 6%-8% in jets from
b quarks.


title: The closure of a linear space in a product of lines

abstract:
  Given a linear space L in affine space A^n, we study its closure L' in the
product of projective lines (P^1)^n. We show that the degree, multigraded Betti
numbers, defining equations, and universal Grobner basis of its defining ideal
I(L') are all combinatorially determined by the matroid M of L. We also prove
I(L') and all of its initial ideals are Cohen-Macaulay with the same Betti
numbers. In so doing, we prove that the initial ideals of I(L') are the
Stanley-Reisner ideals of an interesting family of simplicial complexes related
to the basis activities of M. We also describe the state polytope of I(L'),
which is related to the matroid basis polytope of M.


title: Refinement of the random coding bound

abstract:
  An improved pre-factor for the random coding bound is proved. Specifically,
for channels with critical rate not equal to capacity, if a regularity
condition is satisfied (resp. not satisfied), then for any $\epsilon >0$ a
pre-factor of $O(N^{-\frac{1}{2}\left( 1 - \epsilon + \bar{\rho}^\ast_R
\right)})$ (resp. $O(N^{-\frac{1}{2}})$) is achievable for rates above the
critical rate, where $N$ and $R$ is the blocklength and rate, respectively. The
extra term $\bar{\rho}^\ast_R$ is related to the slope of the random coding
exponent. Further, the relation of these bounds with the authors' recent
refinement of the sphere-packing bound, as well as the pre-factor for the
random coding bound below the critical rate, is discussed.


title: Systematic expansion for infrared oscillator basis extrapolations

abstract:
  Recent work has demonstrated that the infrared effects of harmonic oscillator
basis truncations are well approximated by imposing a partial-wave Dirichlet
boundary condition at a properly identified radius L. This led to formulas for
extrapolating the corresponding energy E_L and other observables to infinite L
and thus infinite basis size. Here we reconsider the energy for a two-body
system with a Dirichlet boundary condition at L to identify and test a
consistent and systematic expansion for E_L that depends only on observables.
We also generalize the energy extrapolation formula to nonzero angular
momentum, and apply it to the deuteron. Formulas given previously for
extrapolating the radius are derived in detail.


title: Emergent universe scenario and the low CMB multipoles

abstract:
  In this work we study superinflation in the context of the emergent universe
(EU) scenario. The existence of a superinflating phase before the onset of
slow-roll inflation arises in any emergent universe model. We found that the
superinflationary period in the EU scenario produces a suppression of the CMB
anisotropies at large scale which could be responsible for the observed lack of
power at large angular scales of the CMB.


title:
Experimental generation of an optical field with arbitrary spatial
  coherence properties

abstract:
  We describe an experimental technique to generate a quasi-monochromatic field
with any arbitrary spatial coherence properties that can be described by the
cross-spectral density function, $W(\mathbf{r_1,r_2})$. This is done by using a
dynamic binary amplitude grating generated by a digital micromirror device
(DMD) to rapidly alternate between a set of coherent fields, creating an
incoherent mix of modes that represent the coherent mode decomposition of the
desired $W(\mathbf{r_1,r_2})$. This method was then demonstrated experimentally
by interfering two plane waves and then spatially varying the coherent between
these two modes such that the interference fringe visibility was shown to vary
spatially between the two beams in an arbitrary and prescribed way.


title: Zoonoses Frontier: Veterinarian, Producer, Processor and Beyond

abstract:
  As many emerging and re-emerging infectious diseases are associated with food
animals, the relationship between available healthy food sources and population
health and social stability has become evident. A recent example of the
importance of this relationship was observed during the current flu pandemic.
This recent pandemic brought attention to novel target groups of susceptible
people at the interface of the animal and human populations. Veterinarians,
producers and processors are uniquely exposed to emerging zoonoses. Therefore
these individuals may serve as key sentinels and allow efficient evaluation of
the effectiveness of zoonoses prophylaxis and control, including evaluation of
the cost-effectiveness in the broader view. We also suggest some valuable
approaches for rapid diagnosis of emerging and re-emerging infectious diseases
and supportive systemic research which may address related ethical questions.
We also highly recommend more research investigations characterizing this
human/animal zoonosis interface, a potentially productive target for emerging
disease diagnosis and control.


title:
Charge-Transfer in Time-Dependent Density Functional Theory: Insights
  from the Asymmetric Hubbard Dimer

abstract:
  We show that an asymmetric two-fermion two-site Hubbard model illustrates the
essential features of long-range charge-transfer dynamics in a real-space
molecule. We apply a resonant field that transfers one fermion from one site to
the other. Via constrained search we find the exact ground-state
exchange-correlation functional, and use it to propagate the Kohn-Sham system,
giving the first "adiabatically-exact" calculation of time-resolved
charge-transfer. This propagation fails to properly transfer charge. We analyze
why by comparing the exact and adiabatically-exact potentials and discuss the
role of the derivative discontinuity. The implication for real-space molecules
is that even the best possible adiabatic approximation, despite capturing
non-local step features relevant to dissociation and charge-transfer
excitations, cannot capture fully time-resolved charge-transfer dynamics.


title: The Devron property

abstract:
  We introduce a criterion called the Devron property that a discrete dynamical
system can possess. The Devron property is said to occur when a class of highly
singular inputs of a mapping F are carried by some iterate of $F^{-1}$ to a
class of highly singular inputs of $F^{-1}$. The inspiration for this
definition is the discovery by R. Schwartz that the pentagram map exhibits this
kind of behavior. We investigate occurrences of the Devron property in a number
of different dynamical systems.


title:
Detection of Class I Methanol (CH3OH) Maser Candidates in Supernova
  Remnants

abstract:
  We have used the Karl G. Jansky Very Large Array (VLA) to search for 36 GHz
and 44 GHz methanol (CH3OH) lines in a sample of 21 Galactic supernova remnants
(SNRs). Mainly the regions of the SNRs with 1720 MHz OH masers were observed.
Despite the limited spatial extent covered in our search, methanol masers were
detected in both G1.4-0.1 and W28. Additional masers were found in SgrAEast.
More than 40 masers were found in G1.4-0.1 which we deduce are due to
interactions between the SNR and at least two separate molecular clouds. The
six masers in W28 are associated with the molecular cloud that is also
associated with the OH maser excitation. We discuss the possibility that the
methanol maser may be more numerous in SNRs than the OH maser, but harder to
detect due to observational constraints.


title:
Two driven coupled qubits in a time varying magnetic field: exact and
  approximate solutions

abstract:
  We study the dynamics of a two-qubit system coupled through time dependent
anisotropic $XYZ$ Heisenberg interaction in presence of a time varying
non-uniform external magnetic field. Exact results are presented for the time
evolution of the system under certain integrability conditions. Furthermore,
the corresponding entanglement of the system is studied for different values of
the involved parameters. We found that the time evolution and different
properties of entanglement such as amplitude, frequency and profile can be
finely tuned by the interplay of the characteristics of the time-dependent
magnetic field and exchange coupling. Also we show how the discrete symmetries
of the system Hamiltonian, which splits its Hilbert space into two distinct
subspaces, can be utilized to deduce the dynamics in one of its two distinct
subspaces from the other one. Moreover, approximate results for the time
evolution are provided utilizing the rotating wave as well as the perturbation
approximations for the special case of either static magnetic field or exchange
coupling. We compare the range of validity of the two approximation methods and
their effectiveness in treating the considered system and determine their
critical parameters.


title: Quasicrystals and Poisson's summation formula

abstract:
  We characterize the measures on R which have both their support and spectrum
uniformly discrete. A similar result is obtained in R^n for positive measures.


title: Deep learning for class-generic object detection

abstract:
  We investigate the use of deep neural networks for the novel task of class
generic object detection. We show that neural networks originally designed for
image recognition can be trained to detect objects within images, regardless of
their class, including objects for which no bounding box labels have been
provided. In addition, we show that bounding box labels yield a 1% performance
increase on the ImageNet recognition challenge.


title:
On asymptotically free action of permutation groups on subsets and
  multisets

abstract:
  Let $G$ be a permutation group acting on a finite set $\Omega$ of cardinality
$n$. The number of orbits of the induced action of $G$ on the set $\Omega_m$ of
all size $m$ subsets of $\Omega$ satisfies the trivial inequalities
$|\Omega_m|/|G|\leq |\Omega_m/G|\leq |\Omega_m|$. The paper offers improvements
of the upper bound in terms of the minimal degree of $G$ or the minimal degree
of some its subset with a small complement. Applications include asymptotic
enumeration of point configurations in an affine space over a finite field,
unlabeled graphs and hypergraphs. Finally, with references to known results of
permutation groups theory it is shown that if $G$ is an arbitrary 2-transitive
group except for $S_n$ and $A_n$, then $|\Omega_m/G|\approx |\Omega_m|/|G|$ for
$m$ and $n$ large provided the ratio $m/n$ is bounded away from 0 and 1.
  Similar results hold for the induced action of $G$ on the set $\Omega_{(m)}$
of all weight $m$ multisets on $\Omega$ provided the ratio $m/n$ is not too
small.


title: Holographic probes of collapsing black holes

abstract:
  We continue the programme of exploring the means of holographically decoding
the geometry of spacetime inside a black hole using the gauge/gravity
correspondence. To this end, we study the behaviour of certain extremal
surfaces (focusing on those relevant for equal-time correlators and
entanglement entropy in the dual CFT) in a dynamically evolving asymptotically
AdS spacetime, specifically examining how deep such probes reach. To highlight
the novel effects of putting the system far out of equilibrium and at finite
volume, we consider spherically symmetric Vaidya-AdS, describing black hole
formation by gravitational collapse of a null shell, which provides a
convenient toy model of a quantum quench in the field theory. Extremal surfaces
anchored on the boundary exhibit rather rich behaviour, whose features depend
on dimension of both the spacetime and the surface, as well as on the anchoring
region. The main common feature is that they reach inside the horizon even in
the post-collapse part of the geometry. In 3-dimensional spacetime, we find
that for sub-AdS-sized black holes, the entire spacetime is accessible by the
restricted class of geodesics whereas in larger black holes a small region near
the imploding shell cannot be reached by any boundary-anchored geodesic. In
higher dimensions, the deepest reach is attained by geodesics which (despite
being asymmetric) connect equal time and antipodal boundary points soon after
the collapse; these can attain spacetime regions of arbitrarily high curvature
and simultaneously have smallest length. Higher-dimensional surfaces can
penetrate the horizon while anchored on the boundary at arbitrarily late times,
but are bounded away from the singularity. We also study the details of length
or area growth during thermalization. While the area of extremal surfaces
increases monotonically, geodesic length is neither monotonic nor continuous.


title: Proportionate growth in patterns formed in the rotor-router model

abstract:
  We study the growing patterns in the rotor-router model formed by adding $N$
walkers at the center of a $L \times L$ two-dimensional square lattice,
starting with a periodic background of arrows, and relaxing to a stable
configuration. The pattern is made of large number of triangular regions, where
in each region all arrows point in the same direction. The square
circumscribing the region, where all the arrows have been rotated atleast one
full circle, may be considered as made up of smaller squares of different
sizes, all of which grow linearly with $N$, for $ 1 \ll N < 2 L$. We use the
Brooks-Smith-Stone-Tutte theorem relating tilings of squares by smaller squares
to resistor networks, to determine the exact relative sizes of the different
elements of the asymptotic pattern. We also determine the scaling limit of the
function describing the variation of number of visits to a site with its
position in the pattern. We also present evidence that deviations of the sizes
of different small squares from the linear growth for finite $N$ are bounded
and quasiperiodic functions of $N$.


title:
Charge Quantization and the Standard Model from the $\mathbb{CP}^2$ and
  $\mathbb{CP}^3$ Nonlinear $\sigma$-Models

abstract:
  We investigate charge quantization in the Standard Model (SM) through a
$\mathbb{CP}^2$ nonlinear sigma model (NLSM), $SU(3)_G/(SU(2)_H \times
U(1)_H)$, and a $\mathbb{CP}^3$ model, $SU(4)_G/(SU(3)_H \times U(1)_H)$. We
also generalize to any $\mathbb{CP}^k$ model. Charge quantization follows from
the consistency and dynamics of the NLSM, without a monopole or Grand Unified
Theory, as shown in our earlier work on the $\mathbb{CP}^1$ model
(arXiv:1309.0692). We find that representations of the matter fields under the
unbroken non-abelian subgroup dictate their charge quantization under the
$U(1)_H$ factor. In the $\mathbb{CP}^2$ model the unbroken group is identified
with the weak and hypercharge groups of the SM, and the Nambu-Goldstone boson
(NGB) has the quantum numbers of a SM Higgs. There is the intriguing
possibility of a connection with the vanishing of the Higgs self-coupling at
the Planck scale. Interestingly, with some minor assumptions (no vector-like
matter and minimal representations) and starting with a single quark doublet,
anomaly cancellation requires the matter structure of a generation in the SM.
Similar analysis holds in the $\mathbb{CP}^3$ model, with the unbroken group
identified with QCD and hypercharge, and the NGB having the up quark as a
partner in a supersymmetric model. This can motivate solving the strong CP
problem with a vanishing up quark mass.


title: Hydrodynamic Coulomb drag of strongly correlated electron liquids

abstract:
  We develop a theory of Coulomb drag in ultraclean double layers with strongly
correlated carriers. In the regime where the equilibration length of the
electron liquid is shorter than the interlayer spacing the main contribution to
the Coulomb drag arises from hydrodynamic density fluctuations. The latter
consist of plasmons driven by fluctuating longitudinal stresses, and diffusive
modes caused by temperature fluctuations and thermal expansion of the electron
liquid. We express the drag resistivity in terms of the kinetic coefficients of
the electron fluid. Our results are nonperturbative in interaction strength and
do not assume Fermi-liquid behavior of the electron liquid.


title: Integrability and Wilson loops: the wavy line contour

abstract:
  The Wilson loop with a wavy line contour is studied using integrable methods.
The auxiliary problem is solved and the Lax operator is built to first order in
perturbation theory, considering a small perturbation from the straight line.
Finally the spectral curve of the solution is considered.


title: Slow Light in Metamaterial Waveguides

abstract:
  Metamaterials, which are materials engineered to possess novel optical
properties, have been increasingly studied. The ability to fabricate
metamaterials has sparked an interest in determining possible applications. We
investigate using a metamaterial for boundary engineering in waveguides.
  A metamaterial-clad cylindrical waveguide is used to provide confinement for
an optical signal, thereby increasing the local electromagnetic energy density.
We show that metamaterial-clad waveguides have unique optical properties,
including new modes, which we call hybrid modes. These modes have properties of
both ordinary guided modes and surface plasmon-polariton modes.
  We show that for certain metamaterial parameters, the surface
plasmon-polariton modes of a metamaterial-clad waveguide have less propagation
loss than those of a metal-clad guide with the same permittivity. This low-loss
mode is exploited for all-optical control of weak fields. Embedding three-level
{\Lambda} atoms in the dielectric core of a metamaterial-clad waveguide allows
the use of electromagnetically induced transparency to control an optical
signal. Adjusting the pump field alters the group velocity of the signal,
thereby controllably delaying pulses.
  Using the low-loss surface mode of a metamaterial-clad guide reduces losses
by 20% over a metal cladding without sacrificing the group velocity reduction
or confinement. In addition, we show that losses can be reduced by as much as
40% with sufficient reduction of the magnetic damping constant of the
metamaterial.
  As this work aims for applications, practical considerations for fabricating
and testing metamaterial-clad waveguides are discussed. An overview of the
benefits and drawbacks for two different dielectric core materials is given.
Also, a short discussion of other modes that could be used is given.


title: Nature of strong hole pairing in doped Mott antiferromagnets

abstract:
  Cooper pairing instability in a Fermi liquid is well understood by the BCS
theory, but pairing mechanism for doped Mott insulators still remains elusive.
Previously it has been shown by density matrix renormalization group (DMRG)
method that a single doped hole is always self-localized due to the quantum
destructive interference of the phase string signs hidden in the t-J ladders.
Here we report a DMRG investigation of hole binding in the same model, where a
novel pairing-glue scheme beyond the BCS realm is discovered. Specifically, we
show that, in addition to spin pairing due to superexchange interaction, the
strong frustration of the phase string signs on the kinetic energy gets
effectively removed by pairing the charges, which results in strong binding of
two holes. By contrast, if the phase string signs are switched off
artificially, the pairing strength diminishes significantly even if the
superexchange coupling remains the same. In the latter, unpaired holes behave
like coherent quasiparticles with pairing drastically weakened, whose sole
origin may be attributed to the resonating-valence-bond (RVB) pairing of spins.
Such non-BCS pairing mechanism is therefore beyond the RVB picture and may shed
important light on the high-T_c cuprate superconductors.


title:
Seeing bulk topological properties of band insulators in small photonic
  lattices

abstract:
  We present a general scheme for measuring the bulk properties of
non-interacting tight-binding models realized in arrays of coupled photonic
cavities. Specifically, we propose to implement a single unit cell of the
targeted model with tunable twisted boundary conditions in order to simulate
large systems and, most importantly, to access bulk topological properties
experimentally. We illustrate our method by demonstrating how to measure
topological invariants in a two-dimensional quantum Hall-like model.


title: Optimal shapes and stresses of adherent cells on patterned substrates

abstract:
  We investigate a continuum mechanical model for an adherent cell on two
dimensional adhesive micropatterned substrates. The cell is modeled as an
isotropic and homogeneous elastic material subject to uniform internal
contractile stresses. The build-up of tension from cortical actin bundles at
the cell periphery is incorporated by introducing an energy cost for bending of
the cell boundary, resulting to a resistance to changes in local curvature.
Integrin-based adhesions are modeled as harmonic springs, that pin the cell to
adhesive patches of a predefined geometry. Using Monte Carlo simulations and
analytical techniques we investigate the competing effects of bulk
contractility and cortical bending rigidity in regulating cell shapes on
non-adherent regions. We show that the crossover from convex to concave cell
edges is controlled by the interplay between contractile stresses and boundary
bending rigidity. In particular, the cell boundary becomes concave beyond a
critical value of the contractile stress that is proportional to the cortical
bending rigidity. Furthermore, the intracellular stresses are found largely
concentrated at the concave edge of the cell. The model can be used to generate
a cell-shape phase diagram for each specific adhesion geometry.


title:
Inference on Dynamic Models for non-Gaussian Random Fields using INLA: A
  Homicide Rate Analysis of Brazilian Cities

abstract:
  Robust time series analysis is an important subject in statistical modeling.
Models based on Gaussian distribution are sensitive to outliers, which may
imply in a significant degradation in estimation performance as well as in
prediction accuracy. State-space models, also referred as Dynamic Models, is a
very useful way to describe the evolution of a time series variable through a
structured latent evolution system. Integrated Nested Laplace Approximation
(INLA) is a recent approach proposed to perform fast Bayesian inference in
Latent Gaussian Models which naturally comprises Dynamic Models. We present how
to perform fast and accurate non-Gaussian dynamic modeling with INLA and show
how these models can provide a more robust time series analysis when compared
with standard dynamic models based on Gaussian distributions. We formalize the
framework used to fit complex non-Gaussian space-state models using the R
package INLA and illustrate our approach in both a simulation study and on the
brazilian homicide rate dataset.


title: System of interacting particles with Markovian switching

abstract:
  Most of the published articles on random motions have been devoted to the
study of the telegraph process or its generalizations that describe the random
motion in $R^n$ of a single particle in a Markov or semi-Markov medium.
However, up to our best knowledge there are no published papers dealing with
the interaction of two or more particles which move according to the telegraph
processes. In this paper, we construct the system of telegraph processes with
interactions, which can be interpreted as a model of ideal gas. In this model,
we investigate the free path times of a family of particles before they are
collided with any other particle. We also study the distribution of particles,
which described by telegraph processes with hard collisions and reflecting
boundaries, and investigate its limiting properties.


title:
Effects of Electromagnetic Field on The Collapse and Expansion of
  Anisotropic Gravitating Source

abstract:
  This paper is devoted to study the effects of electromagnetic on the collapse
and expansion of anisotropic gravitating source. For this purpose, we have
evaluated the generating solutions of Einstein-Maxwell field equations with
spherically symmetric anisotropic gravitating source. We found that a single
function generates the various anisotropic solutions. In this case every
generating function involves an arbitrary function of time which can be chosen
to fit several astrophysical time profiles. Two physical phenomenon occur, one
is gravitational collapse and other is the cosmological expanding solution. In
both cases electromagnetic field effects the anisotropy of the model. For
collapse the anisotropy is increased while for expansion it deceases from
maximum value to finite positive value. In case of collaps there exits two
horizons like in case of Reissner-Nordstr$\ddot{o}$m metric.


title: Some Tauberian theory for the q-Lagrange inversion

abstract:
  We consider formal power series defined through the functional q-equation of
the q-Lagrange inversion. Under some assumptions, we obtain the asymptotic
behavior of the coefficients of these power series. As a by-product, we show
that, via the 1/q-Borel transform, the q-Lagrange inversion formula provides an
interpolation between the usual Lagrange inversion (q=1) and the probabilistic
theory of renewal sequences (q tends to 0). We also discuss some new solutions
of the q-Lagrange inversion equation which do not vanish at 0.


title: A hidden life of Peregrine's soliton: rouge waves in the oceanic depths

abstract:
  Although the Peregrine-type solutions of the nonlinear Sch\"odinger equation
have long been associated mainly with the infamous "rouge waves" on the surface
of the ocean, they might have a much more interesting role in the oceanic
depths; in this article we show that these solutions play an important role in
the evolution of the intrathermocline eddies, also known as the "oceanic
lenses". In particular, we show that the collapse of a lens is determined by
the particular generalization of the Peregrine soliton -- so called exultons --
of the nonlinear Schr\"odinger equation. In addition, we introduce a new
mathematical method of construction of a vortical filament (a frontal zone of a
lens) from a known one by the Darboux transformation.


title:
Level statistics for one-dimensional Schr\"odinger operators and
  Gaussian beta ensemble

abstract:
  We study the level statistics for two classes of 1-dimensional random
Schr\"odinger operators : (1) for operators whose coupling constants decay as
the system size becomes large, and (2) for operators with critically decaying
random potential. As a byproduct of (2) with our previous result \cite{KN}
imply the coincidence of the limits of circular and Gaussian beta ensembles.


title: Monodromy action on unknotting tunnels in fiber surfaces

abstract:
  In "Tunnel one, fibered links", the second author showed that the tunnel of a
tunnel number one, fibered link can be isotoped to lie as a properly embedded
arc in the fiber surface of the link. In this paper, we analyze how the arc
behaves under the monodromy action, and show that the tunnel arc is nearly
clean, with the possible exception of twisting around the boundary of the
fiber.


title:
Manipulating light at distance by a metasurface using momentum
  transformation

abstract:
  A momentum conservation approach is introduced to manipulate light at
distance using metasurfaces. Given a specified field existing on one side of
the metasurface and specified desired field transmitted from the opposite side,
a general momentum boundary condition is established, which determines the
amplitude, phase and polarization transformation to be induced by the
metasurface. This approach, named momentum transformation, enables a systematic
way to synthesize metasurfaces with complete control over the reflected and
transmitted fields. Several synthesis illustrative examples are provided: a
vortex hypergeometric-Gaussian beam and a "delayed-start" accelerated beam for
Fresnel region manipulation, and a pencil beam radiator and a holographic
repeater for Frauenhofer region manipulation.


title: Quotients of del Pezzo surfaces of high degree

abstract:
  In this paper we study quotients of del Pezzo surfaces of degree four and
more over arbitrary field $\Bbbk$ of characteristic zero by finite groups of
automorphisms. We show that if a del Pezzo surface $X$ contains a point defined
over the ground field and the degree of $X$ is at least five then the quotient
is always $\Bbbk$-rational. If the degree of $X$ is equal to four then the
quotient can be non-$\Bbbk$-rational only if the order of the group is $1$, $2$
or $4$. For these groups we construct examples of non-$\Bbbk$-rational
quotients.


title:
On the generation of bipartite grids with controlled regularity for 2-D
  and 3-D simply connected domains

abstract:
  We present a procedure to generate bipartite grids for simply connected
domains in 2-D and 3-D of prescribed size and controlled regularity elements.
The mesh elements $K$ of the triangulation satisfy $\zeta_{K} \leq C$ where
$\zeta_{K}$ is the regularity and $C$ is a constant depending on the shape
parameters of the initial mesh. Bipartite grids permit a well-posed mixed-mixed
variational formulation of problems such as the porous media flow equation and
other linear physical phenomena as well as Galerkin-type discontinuous
relaxations.


title: High-frequency stability of multidimensional ZND detonations

abstract:
  The rigorous study of spectral stability of strong detonations was begun by
Erpenbeck in the 1960s. Working with the Zeldovitch-von Neumann-D\"oring (ZND)
model, he identified two fundamental classes of detonation profiles, referred
to as those of decreasing (D) and increasing (I) type, which appeared to
exhibit very different behavior with respect to high-frequency perturbations.
Using a combination of rigorous and non-rigorous arguments, Erpenbeck concluded
that type I detonations were unstable to some oscillatory perturbations for
which the (vector) frequency was of arbitrarily large magnitude, while type D
detonations were stable provided the frequency magnitude was sufficiently high.
For type D detonations Erpenbeck's methods did not allow him to obtain a cutoff
magnitude for stability that was \emph{uniform} with respect to frequency
direction. Thus, he left open the question whether the cutoff magnitude for
stability might approach $+\infty$ as certain frequency directions were
approached. In this paper we show by quite different methods that for type D
detonations there exists a uniform cutoff magnitude for stability independent
of frequency direction. By reducing the search for unstable frequencies to a
bounded frequency set, the uniform cutoff obtained here is a key step toward
the rigorous validation of a number of results in the computational detonation
literature. The main difficulty in the analysis is to treat "turning points at
infinity".


title: Measurement and Ergodicity in Quantum Mechanics

abstract:
  The experimental realization of successive non-demolition measurements on
single microscopic systems brings up the question of ergodicity in Quantum
Mechanics (QM). We investigate whether time averages over one realization of a
single system are related to QM averages over an ensemble of similarly prepared
systems. We adopt a generalization of von Neumann model of measurement,
coupling the system to $N$ "probes" --with a strength that is at our disposal--
and detecting the latter. The model parallels the procedure followed in
experiments on Quantum Electrodynamic cavities. The modification of the
probability of the observable eigenvalues due to the coupling to the probes can
be computed analytically and the results compare qualitatively well with those
obtained numerically by the experimental groups. We find that the problem is
not ergodic, except in the case of an eigenstate of the observable being
studied.


title:
Log-Periodic Dipole Array Antenna as a Chipless Radio-Frequeny
  Identification (RFID) Tag

abstract:
  A passive chipless Radio-frequency identification (RFID) tag based on
log-periodic (LP) dipole array is proposed, where the tailorable band-rejection
property of the LP aperture is utilized to realize large number of codes. The
proposed tag principle is successfully validated using measurements, where the
absence and presence of the band-rejection, is shown to carry the bit
information. Its fabrication simplicity is also demonstrated by its
implementation on a flexible substrate. Finally, two different tag formation
schemes, based on specific set of resonance suppressions, are discussed in
detailed.


title: Mode switching in ring lasers with delayed optical feedback

abstract:
  We have demonstrated that a rather weak external optical feedback with delay
can lead to the mode switching of the counterpropogating modes. The delay time
should be longer then any system characteristic time. The equations describing
the ring resonator with the delayed optical feedback was obtained from the
first principles. The analytical formula for the necessary external feedback
strength was derived. Other than the regular behavior, the system demonstrates
a complex chaotic behavior.


title: Quantum Fisher information for density matrices with arbitrary ranks

abstract:
  We provide a new expression of the quantum Fisher information(QFI) for a
general system. Utilizing this expression, the QFI for a non-full rank density
matrix is only determined by its support. This expression can bring convenience
for a infinite dimensional density matrix with a finite support. Besides, a
matrix representation of the QFI is also given.


title:
QoS-Aware User Association for Load Balancing in Heterogeneous Cellular
  Networks

abstract:
  To solve the problem that the low capacity in hot-spots and coverage holes of
conventional cellular networks, the base stations (BSs) having lower transmit
power are deployed to form heterogeneous cellular networks (HetNets). However,
because of these introduced disparate power BSs, the user distributions among
them looked fairly unbalanced if an appropriate user association scheme hasn't
been provided. For effectively tackling this problem, we jointly consider the
load of each BS and user's achievable rate instead of only utilizing the latter
when designing an association algorithm, and formulate it as a network-wide
weighted utility maximization problem. Note that, the load mentioned above
relates to the amount of required subbands decided by actual rate requirements,
i.e., QoS, but the number of associated users, thus it can reflect user's
actual load level. As for the proposed problem, we give a maximum probability
(max-probability) algorithm by relaxing variables as well as a low-complexity
distributed algorithm with a near-optimal solution that provides a theoretical
performance guarantee. Experimental results show that, compared with the
association strategy advocated by Ye, our strategy has a speeder convergence
rate, a lower call blocking probability and a higher load balancing level.


title:
Notes on the nonlinear dependence of a multiscale coupled system with
  respect to the interface

abstract:
  This work studies the dependence of the solution with respect to interface
geometric perturbations in a multiscaled coupled Darcy flow system in direct
variational formulation. A set of admissible perturbation functions and a sense
of convergence are presented, as well as sufficient conditions on the forcing
terms, in order to conclude strong convergence statements. For the rate of
convergence of the solutions we start solving completely the one dimensional
case using orthogonal decompositions on appropriate subspaces. Finally, the
rate of convergence question is analyzed in a simple multiple dimensional
setting, studying the nonlinear operators introduced by the geometric
perturbations.


title:
Indirect controllability of degenerate quantum systems with quantum
  accessor

abstract:
  Complete controllability of degenerate quantum system using quantum accessor
modeled as a qubit chain with nearest neighborhood coupling is investigated.
Sufficient conditions on the length of accessor and the way of coupling between
controlled system and accessor are obtained. General approach to arbitrary
finite system is presented and two and three level degenerate systems are
investigated in detail.


title: Geometric RG Flow

abstract:
  We define geometric RG flow equations that specify the scale dependence of
the renormalized effective action Gamma[g] and the geometric entanglement
entropy S[x] of a QFT, considered as functionals of the background metric g and
the shape x of the entanglement surface. We show that for QFTs with AdS duals,
the respective flow equations are described by Ricci flow and mean curvature
flow. For holographic theories, the diffusion rate of the RG flow is much
larger, by a factor R_{AdS}^2/\ell_s^2, than the RG resolution length scale. To
derive our results. we employ the Hamilton-Jacobi equations that dictate the
dependence of the total bulk action and the minimal surface area on the
geometric QFT boundary data.


title: Two-point homogeneous quandles with prime cardinality

abstract:
  Quandles can be regarded as generalizations of symmetric spaces. Among
symmetric spaces, two-point homogeneous Riemannian manifolds would be the most
fundamental ones. In this paper, we define two-point homogeneous quandles
analogously, and classify those with prime cardinality.


title:
Game Theoretic Approach to the Stabilization of Heterogeneous Multiagent
  Systems Using Subsidy

abstract:
  We consider a multiagent system consisting of selfish and heterogeneous
agents. Its behavior is modeled by multipopulation replicator dynamics, where
payoff functions of populations are different from each other. In general,
there exist several equilibrium points in the replicator dynamics. In order to
stabilize a desirable equilibrium point, we introduce a controller called a
government which controls the behaviors of agents by offering them subsidies.
In previous work, it is assumed that the government determines the subsidies
based on the populations the agents belong to. In general, however, the
government cannot identify the members of each population. In this paper, we
assume that the government observes the action of each agent and determines the
subsidies based on the observed action profile. Then, we model the controlled
behaviors of the agents using replicator dynamics with feedback. We derive a
stabilization condition of the target equilibrium point in the replicator
dynamics.


title: On classification of quandles of cyclic type

abstract:
  In this paper, we study quandles of cyclic type, which form a particular
subclass of finite quandles. The main result of this paper describes the set of
isomorphism classes of quandles of cyclic type in terms of certain cyclic
permutations. By using our description, we give a direct classification of
quandles of cyclic type with cardinality up to $12$.


title:
Data Offloading in Load Coupled Networks: A Utility Maximization
  Framework

abstract:
  We provide a general framework for the problem of data offloading in a
heterogeneous wireless network, where some demand of cellular users is served
by a complementary network. The complementary network is either a small-cell
network that shares the same resources as the cellular network, or a WiFi
network that uses orthogonal resources. For a given demand served in a cellular
network, the load, or the level of resource usage, of each cell depends in a
non-linear manner on the load of other cells due to the mutual coupling of
interference seen by one another. With load coupling, we optimize the demand to
be served in the cellular or the complementary networks, so as to maximize a
utility function. We consider three representative utility functions that
balance, to varying degrees, the revenue from serving the users vs the user
fairness. We establish conditions for which the optimization problem has a
feasible solution and is convex, and hence tractable to numerical computations.
Finally, we propose a strategy with theoretical justification to constrain the
load to some maximum value, as required for practical implementation. Numerical
studies are conducted for both under-loaded and over-loaded networks.


title:
Ap\'ery's theorem and problems for the values of Riemann's zeta function
  and their $q$-analogues

abstract:
  This monograph is intended to be considered as my habilitation (D.Sc.)
thesis; because of that and as everything has already appeared in English, it
is performed exclusively in Russian.
  The monograph comprises a detailed introduction and seven chapters that
represent part of my work influenced by Ap\'ery's proof from 1978 of the
irrationality of $\zeta(2)$ and $\zeta(3)$, the values of Riemann's zeta
function. Chapter 1 is about "at least one of the four numbers $\zeta(5)$,
$\zeta(7)$, $\zeta(9)$ and $\zeta(11)$ is irrational" (based in part on
arXiv:math.NT/0206176). Chapter 2 explains a connection between the generalized
multiple integrals introduced by Beukers in his proof of Ap\'ery's result and
the very-well-poised hypergeometric series; it is based on
arXiv:math.CA/0206177. Chapter 3 surveys some arithmetic and hypergeometric
$q$-analogies and establishes the irrationality measure
$\mu(\zeta_q(2))<3.518876$ for a $q$-analogue of $\zeta(2)$; it closely follows
the text in Sb. Math. 193 (2002), 1151--1172, but also incorporates the sharper
analysis of the hypergeometric construction by Smet and Van Assche
(arXiv:0809.2501 [math.CA]) to produce the improvement upon the 2002 result.
Chapter 4 is devoted to the measure $\mu(\zeta(2))<5.095412$ and is based on
arXiv:1310.1526 [math.NT]; Chapter 5 is establishing the estimate
$||(3/2)^k||>0.5803^k$ for the distance from $(3/2)^k$ to the nearest integer,
with the English version published in J. Th\'eor. Nombres Bordeaux 19 (2007),
313--325. Chapter 6 reproduces the solution (from arXiv:math.CA/0311195) to the
problem of Asmus Schmidt about generalized Ap\'ery's numbers. Finally, Chapter
7 is about expressing the special $L$-values as periods (in the sense of
Kontsevich and Zagier), in particular, as values of hypergeometric functions;
it is based on the publication in Springer Proc. Math. Stat. 43 (2013),
381--395.


title: Spectral analysis for semi-infinite mass-spring systems

abstract:
  We study how the spectrum of a Jacobi operator changes when this operator is
modified by a certain finite rank perturbation. The operator corresponds to an
infinite mass-spring system and the perturbation is obtained by modifying one
interior mass and one spring of this system. In particular, there are detailed
results of what happens in the spectral gaps and which eigenvalues do not move
under the modifications considered. These results were obtained by a new
tecnique of comparative spectral analysis and they generalize and include
previous results for finite and infinite Jacobi matrices.


title:
Absence of coherent peaks in a $Z_{2}$ fractionalized BCS
  superconducting state

abstract:
  We explore a $Z_{2}$ fractionalized Bardeen-Cooper-Schrieffer (BCS)
superconducting state, which is a minimal extension of usual BCS framework. It
is found that this state has similar thermal and transport properties, but its
single-particle feature strongly deviates from the coherent quasiparticle
behavior of the classic/conventional BCS superconducting state. The fingerprint
of such $Z_{2}$ BCS state is the absence of the BCS coherent peaks and instead
a kink in the local density of state occurs, which in principle could be probed
by scanning tunneling microscopy or point-contact spectroscopy experiments. The
corresponding exactly soluble models that realize the desirable $Z_{2}$
fractionalized BCS state is presented. In addition, we also study the extended
$t$-$U$-$J$ model by using $Z_{2}$ slave-spin representation and find that the
$Z_{2}$ BCS state may exist when the paring structure is fully gapped or has
nodes. The prototypical wave-function of such a $Z_{2}$ BCS state is also
proposed, which could be taken as trial wave-function in current numerical
techniques. The present work may be helpful to further study the unconventional
superconductivity and its relation to non-Fermi liquids.


title:
Instability of the kinematic state in the atmosphere of the hypergiant
  Rho Cas outside outburst

abstract:
  Observations of the yellow hypergiant Rho Cas obtained in 2007-2011 in a wide
wavelength region with spectral resolution about 60000 have enabled studies of
features of its optical spectrum in detail and brought to light previously
unknown characteristics of the extended atmosphere of the star. The radial
velocity measured from symmetric absorptions of metals varies with an amplitude
of about +/-7 km/s around the systemic velocity Vsys=-47 km/s, due to
low-amplitude pulsations of the atmospheric layers near the photosphere. At
some times, a velocity gradient was found in deep atmospheric layers of the
star. A slight velocity stratification in the stellar atmosphere was detected
for the first time, manifested as a difference of 3-4 km/s in the velocities
measured from absorption lines of neutral metals and of ions. The
long-wavelength components of split absorptions of BaII, SrII, TiII, and other
strong lines with low excitation potentials for their lower levels are
distorted by nearby emission lines. It is suggested that the short-wavelength
components, whose locations correspond to the narrow velocity range Vr(blue)
from approximately -60 to -70 km/s, are formed in a circumstellar envelope; one
component of the D~NaI doublet and the emission components of the FeII 6369.46
and 6432.68 ions are also formed there.


title:
Gauged Hamiltonian Floer homology I: definition of the Floer homology
  groups

abstract:
  We construct the vortex Floer homology group $VHF (M,\mu;H)$ for an
aspherical Hamiltonian $G$-manifold $(M, \omega)$ with moment map $\mu$ and a
class of $G$-invariant Hamiltonian loop $H_t$, following the proposal of [3].
This is a substitute for the ordinary Hamiltonian Floer homology of the
symplectic quotient of $M$. We achieve the transversality of the moduli space
by the classical perturbation argument instead of the virtual technique, so the
homology can be defined over ${\mathbb Z}$ or ${\mathbb Z}_2$.


title: Evolution of Raman G and G'(2D) Modes in Folded Graphene Layers

abstract:
  Bernal- and non-Bernal-stacked graphene layers have been systematically
studied by Raman imaging and spectroscopy. Two dominant Raman modes, G and G'
(or 2D) of folded graphene layers exhibit three types of spectral features when
interlayer lattice mismatches, defined by a rotational angle varies. Among
these folded graphene layers, the most interesting one is the folded graphene
layers that present an extremely strong G mode enhanced by a twist-induced Van
Hove singularity. The evolution of Raman G and G' modes of such folded graphene
layers are probed by changing the excitation photon energies. For the first
time, doublet splitting of the G' mode in folded double-layer (1 + 1) and of
the G mode in folded tetra-layer (2 + 2) graphene are clearly observed and
discussed. The G' mode splitting in folded double-layer graphene is attributed
to the coexistence of inner and outer scattering processes and the trigonal
warping effect as well as further downwards bending of the inner dispersion
branch at visible excitation energy. While the two peaks of the G mode in
folded tetra-layer graphene are assigned to Raman-active mode (E2g) and lattice
mismatch activated infrared-active mode (E1u), which is further verified by the
temperature-dependent Raman measurements. Our study provides a summary and
thorough understanding of Raman spectra of Bernal- and non-Bernal-stacked
graphene layers and further demonstrates the versatility of Raman spectroscopy
for exploiting electronic band structures of graphene layers.


title:
Analytic approach to nuclear rotational states: The role of spin - A
  minimal model -

abstract:
  We use a simple field theory model to investigate the role of the nucleon
spin for the magnetic sum rules associated with the low-lying collective
scissors mode in deformed nuclei. Various constraints from rotational symmetry
are elucidated and discussed. We put special emphasis on the coupling of the
spin part of the M1 operator to the low lying collective modes, and investigate
how this coupling changes the sum rules.


title:
Convergence Rates of Spectral Distribution of Large Dimensional
  Quaternion Sample Covariance Matrix

abstract:
  In this paper, we study the convergence rates of empirical spectral
distribution of large dimensional quaternion sample covariance matrix. Assume
that the entries of $\mathbf X_n$ ($p\times n$) are independent quaternion
random variables with mean zero, variance 1 and uniformly bounded sixth
moments. Denote $\mathbf S_n=\frac{1}{n}\mathbf X_n\mathbf X_n^*$. Using Bai
inequality, we prove that the expected empirical spectral distribution (ESD)
converges to the limiting Mar${\rm \check{c}}$enko-Pastur distribution with the
ratio of the dimension to sample size $y_p=p/n$ at a rate of
$O\left(n^{-1/2}a_n^{-3/4}\right)$ when $a_n>n^{-2/5}$ or
$O\left(n^{-1/5}\right)$ when $a_n\le n^{-2/5}$, where $a_n=(1-\sqrt{y_p})^2$
is the lower bound for the M-P law. Moreover, the rates for both the
convergence in probability and the almost sure convergence are also
established. The weak convergence rate of the ESD is
$O\left(n^{-2/5}a_n^{-2/5}\right)$ when $a_n>n^{-2/5}$ or
$O\left(n^{-1/5}\right)$ when $a_n\le n^{-2/5}$. The strong convergence rate of
the ESD is $O\left(n^{-2/5+\eta}a_n^{-2/5}\right)$ when $a_n>n^{-2/5}$ or
$O\left(n^{-1/5}\right)$ when $a_n\le n^{-2/5}$ for any $\eta>0$.


title:
Structure Analysis on the $k$-error Linear Complexity for $2^n$-periodic
  Binary Sequences

abstract:
  In this paper, in order to characterize the critical error linear complexity
spectrum (CELCS) for $2^n$-periodic binary sequences, we first propose a
decomposition based on the cube theory. Based on the proposed $k$-error cube
decomposition, and the famous inclusion-exclusion principle, we obtain the
complete characterization of $i$th descent point (critical point) of the
k-error linear complexity for $i=2,3$. Second, by using the sieve method and
Games-Chan algorithm, we characterize the second descent point (critical point)
distribution of the $k$-error linear complexity for $2^n$-periodic binary
sequences. As a consequence, we obtain the complete counting functions on the
$k$-error linear complexity of $2^n$-periodic binary sequences as the second
descent point for $k=3,4$. This is the first time for the second and the third
descent points to be completely characterized. In fact, the proposed
constructive approach has the potential to be used for constructing
$2^n$-periodic binary sequences with the given linear complexity and $k$-error
linear complexity (or CELCS), which is a challenging problem to be deserved for
further investigation in future.


title: Resonant Low Frequency Interlayer Shear Modes in Folded Graphene Layers

abstract:
  Naturally or artificially stacking extra layers on single layer graphene
(SLG) forms few-layer graphene (FLG), which has attracted tremendous attention
owing to its exceptional properties inherited from SLG and new features
generated by introducing extra freedom. In FLG, shear modes play a critical
role in understanding its distinctive properties. Unfortunately, energies of
shear modes are so close to excitation lasers to be fully blocked by a Rayleigh
rejecter. This greatly hinders investigations of shear modes in FLG. Here, we
demonstrate dramatically enhanced shear modes in properly folded FLG.
Benefiting from the extremely strong signals, for the first time, enhancement
mechanism, vibrational symmetry, anharmonicity and electron-phonon coupling
(EPC) of shear modes are uncovered through studies of two-dimensional (2D)
Raman mapping, polarization- and temperature-dependent Raman spectroscopy. This
work complements Raman studies of graphene layers, and paves an efficient way
to exploit low frequency shear modes of FLG and other 2D layered materials.


title: Example of a stable wormhole in general relativity

abstract:
  We study a static, spherically symmetric wormhole model whose metric
coincides with that of the so-called Ellis wormhole but the material source of
gravity consists of a perfect fluid with negative density and a source-free
radial electric or magnetic field. For a certain class of fluid equations of
state, it has been shown that this wormhole model is linearly stable under both
spherically symmetric perturbations and axial perturbations of arbitrary
multipolarity. A similar behavior is predicted for polar nonspherical
perturbations. It thus seems to be the first example of a stable wormhole model
in the framework of general relativity (at least without invoking phantom thin
shells as wormhole sources).


title: Mystic Reflection Groups

abstract:
  This paper aims to systematically study mystic reflection groups that emerged
independently in the paper [Selecta Math. (N.S.) 14 (2009), 325-372,
arXiv:0806.0867] by the authors and in the paper [Algebr. Represent. Theory 13
(2010), 127-158, arXiv:0806.3210] by Kirkman, Kuzmanovich and Zhang. A detailed
analysis of this class of groups reveals that they are in a nontrivial
correspondence with the complex reflection groups $G(m,p,n)$. We also prove
that the group algebras of corresponding groups are isomorphic and classify all
such groups up to isomorphism.


title: Multiple routes transmitted epidemics on multiplex networks

abstract:
  This letter investigates the multiple routes transmitted epidemic process on
multiplex networks. We propose detailed theoretical analysis that allows us to
accurately calculate the epidemic threshold and outbreak size. It is found that
the epidemic can spread across the multiplex network even if all the network
layers are well below their respective epidemic thresholds. Strong positive
degree-degree correlation of nodes in multiplex network could lead to a much
lower epidemic threshold and a relatively smaller outbreak size. However, the
average similarity of neighbors from different layers of nodes has no obvious
effect on the epidemic threshold and outbreak size.


title: Curvatures of moduli space of curves and applications

abstract:
  In this paper, we investigate the geometry of the moduli space of curves by
using the curvature properties of direct image sheaves of vector bundles. We
show that the moduli space $(M_g, \omega_{WP})$ of curves with genus $g>1$ has
dual-Nakano negative and semi-Nakano-negative curvature, and in particular, it
has non-positive Riemannain curvature operator and also non-positive complex
sectional curvature. As applications, we prove that any submanifold in $M_g$
which is totally geodesic in $A_g$ with finite volume must be a ball quotient.


title: Electrochemical Strain Microscopy of Silica Glasses

abstract:
  Piezoresponse Force Microscopy (PFM) and Electrochemical Strain Microscopy
(ESM) are two related techniques that have had considerable success in
nano-scale probing of functional material properties. Both measure the strain
of the sample in response to a localized electric field beneath a sharp
conductive tip. In this work, a collection of commercially available glass
samples were measured with a variety of Si cantilevers coated with different
conductive metals. In some cases, these glasses showed significant hysteresis
loops, similar in appearance to those measured on ferroelectric materials with
spontaneous permanent electric dipoles. The magnitude of the electrochemical
strain and hysteresis correlated well with the molar percentage of sodium in
the glass material, with high sodium (soda-lime) glass showing large hysteresis
and fused silica (pure SiO2) showing essentially no hysteresis. The
elephant-ear shape of the hysteresis loops correlated well with it originating
from relaxation behavior, an interpretation verified by observing the
temperature dependent relaxation of the ESM response. Cation mobility in a
disordered glass should have a low diffusion constant. To evaluate this
diffusion constant, the temperature of the glass was varied between room
temperature and 200C. Vanishing hysteresis as the temperature increased was
associated with a decrease in the relaxation time of the electrochemical
response. The hysteretic behavior changed drastically in this temperature
range, consistent with bound surface water playing a large role in the
relaxation. This demonstrates the ability of ESM to differentiate cationic
concentrations in a range of silica glasses. In addition, since glass is a
common sample substrate for, this provides some clear guidance for avoiding
unwanted substrate crosstalk effects in piezoresponse and electrochemical
strain response measurements.


title:
Hardware and logic implementation of multiple alarm system for GSM BTS
  rooms

abstract:
  Cellular communication becomes the major mode of communication in present
century. With the development of this phase of communication the globalization
process is also in its peak of speed. The development of cellular communication
is largely depending on the improvement and stability of Base Transceiver
Station (BTS) room. So for the purpose of the development of cellular
communication a large numbered BTS rooms are installed throughout the world. To
ensure proper support from BTS rooms there must be a security system to avoid
any unnecessary vulnerability. Therefore multiple alarm system is designed to
secure the BTS rooms from any undesired circumstances. This system is designed
with a PIC Microcontroller as a main controller and a several sensors are
interfaced with it to provide high temperature alarm, smoke alarm, door alarm
and water alarm. All these alarms are interfaced with the alarm box in the BTS
room which provides the current status directly to Network Management Centre
(NMC) of a Global System for Mobile (GSM) communication network.


title:
Application of polynomial texture mapping in process of digitalization
  of cultural heritage

abstract:
  In this paper we present modern texture mapping techniques and several
applications of polynomial texture mapping in cultural heritage programs. We
also consider some well-known and some new methods for mathematical procedure
that is involved in generation of polynomial texture maps.


title:
The performance evaluation of IEEE 802.16 physical layer in the basis of
  bit error rate considering reference channel models

abstract:
  Fixed Broadband Wireless Access is a promising technology which can offer
high speed data rate from transmitting end to customer end which can offer high
speed text, voice, and video data. IEEE 802.16 WirelessMAN is a standard that
specifies medium access control layer and a set of PHY layer to fixed and
mobile BWA in broad range of frequencies and it supports equipment
manufacturers due to its robust performance in multipath environment.
Consequently WiMAX forum has adopted this version to develop the network world
wide. In this paper the performance of IEEE 802.16 OFDM PHY Layer has been
investigated by using the simulation model in Matlab. The Stanford University
Interim (SUI) channel models are selected for the performance evaluation of
this standard. The Ideal Channel estimation is considered in this work and the
performance evaluation is observed in the basis of BER.


title:
Kaon femtoscopy of Pb-Pb and pp collisions at the LHC with the ALICE
  experiment

abstract:
  We report on the results of femtoscopic analyses of Pb-Pb collisions at
$\sqrt{s_{NN}}$=2.76 TeV and pp collisions at $\sqrt{s}$= 7 TeV with identical
charged and neutral kaons. The femtoscopic correlations allow one to measure
the space-time characteristics of particle production using particle
correlations due to the effects of quantum statistics for identical particles
and final state interaction for both identical and non-identical ones. Small
contributions from resonance decays make kaon femtoscopy an ideal tool for the
correlation studies. In conjunction with pion and proton femtoscopy, they can
also reveal properties of collective dynamics in heavy-ion collisions. ALICE
results are compared with the existing world data on kaon femtoscopy in
different type of collisions. The theoretical expectations for pp and Pb-Pb
collisions are considered.


title:
Superradiance transition in a system with a single qubit and a single
  oscillator

abstract:
  We consider the phase-transition-like behaviour in the Rabi model containing
a single two-level system, or qubit, and a single harmonic oscillator. The
system experiences a sudden transition from an uncorrelated state to an
increasingly correlated one as the qubit-oscillator coupling strength is varied
and increased past a critical point. This singular behaviour occurs in the
limit where the oscillator's frequency is much lower than the qubit's
frequency; away from this limit one obtains a finite-width transition region.
By analyzing the energy-level structure, the value of the oscillator field and
its squeezing and the qubit-oscillator correlation, we gain insight into the
nature of the transition and the associated critical behaviour.


title:
Detection of Syntactic Aspect Interaction in UML State Diagrams Using
  Critical Pair Analysis in Graph Transformation

abstract:
  Aspect Oriented Modeling separates crosscutting concerns by defining Aspects
and composition mechanisms at the model level. Composition of multiple Aspects
will most likely result in more than one Aspect matching the same join points.
Consequently, Aspects do not always interact in a predictable manner when woven
together. Intended interaction among aspects is designed by the system
designer. Unintended interaction (or interference) must be automatically
managed. When the woven aspect demonstrates a behavior that is different than
its autonomous behavior, then this is a potential interference. Interference
has been recently reported in Aspect Oriented Software Development (AOSD) by
the industry. Leaving this problem unsolved may result in erratic software
behavior and will hinder the adaptation of AOSD by the industry. This
identified problem is similar to a phenomenon that exists in graph
transformation systems where multiple Graph Transformation rules share some
conflicting elements, it is referred to as Critical Pair Analysis and it
provides an algebraic-based mechanism to detect and analyze the interaction of
the rules. In this paper we propose a framework to detect unintended Aspect
interaction at the model level. The proposed framework transforms Aspects
modeled in UML State Diagram to Graph Transformation Rules, and then it applies
Critical Pair Analysis to detect unintended interactions among aspects. This
will enable developers to specify only the order of precedence for intended
interaction among aspects without the need to manually investigate unintended
interactions for the combinations of every Aspect to every other Aspect in the
system. The proposed interaction detection solution is automated, modular, and
independent of the base model; which adds the advantage of not having to
re-evaluate the interaction each time the base model changes.


title: Wannier Center Sheets in Topological Insulators

abstract:
  We argue that various kinds of topological insulators (TIs) can be
insightfully characterized by an inspection of the charge centers of the hybrid
Wannier functions, defined as the orbitals obtained by carrying out a Wannier
transform on the Bloch functions in one dimension while leaving them Bloch-like
in the other two. From this procedure, one can obtain the Wannier charge
centers (WCCs) and plot them in the two-dimensional projected Brillouin zone.
We show that these WCC sheets contain the same kind of topological information
as is carried in the surface energy bands, with the crucial advantage that the
topological properties of the bulk can be deduced from bulk calculations alone.
The distinct topological behaviors of these WCC sheets in trivial, Chern, weak,
strong, and crystalline TIs are first illustrated by calculating them for
simple tight-binding models. We then present the results of first-principles
calculations of the WCC sheets in the trivial insulator Sb$_2$Se$_3$, the weak
TI KHgSb, and the strong TI Bi$_2$Se$_3$, confirming the ability of this
approach to distinguish between different topological behaviors in an
advantageous way.


title: Gardner's deformations as generators of new integrable systems

abstract:
  We re-address the problem of construction of new infinite-dimensional
completely integrable systems on the basis of known ones, and we reveal a
working mechanism for such transitions. By splitting the problem's solution in
two steps, we explain how the classical technique of Gardner's deformations
facilitates -- in a regular way -- making the first, nontrivial move, in the
course of which the drafts of new systems are created (often, of hydrodynamic
type). The other step then amounts to higher differential order extensions of
symbols in the intermediate hierarchies (e.g., by using the techniques of
Dubrovin et al. [1,2] and Ferapontov et al. [3,4]).


title: Event-based simulation of quantum physics experiments

abstract:
  We review an event-based simulation approach which reproduces the statistical
distributions of wave theory not by requiring the knowledge of the solution of
the wave equation of the whole system but by generating detection events
one-by-one according to an unknown distribution. We illustrate its
applicability to various single photon and single neutron interferometry
experiments and to two Bell test experiments, a single-photon
Einstein-Podolsky-Rosen experiment employing post-selection for photon pair
identification and a single-neutron Bell test interferometry experiment with
nearly $100\%$ detection efficiency.


title:
Classical definitions of the Poisson process do not coincide in the case
  of generalized convolutions

abstract:
  In the paper we consider a generalizations of the notion of Poisson process
to the case when classical convolution is replaced by generalized convolution
in the sense of K. Urbanik [16] following two classical definitions of Poisson
process. First, for every generalized convolution $\diamond$ we define
$\diamond$-generalized Poisson process type I as a Markov process with the
$\diamond$-generalized Poisson distribution. Such processes have stationary
independent increments in the sense of generalized convolution, but usually
they do not live on $\mathbb{N}_0$. The $\diamond$-generalized Poisson process
type II is defined as a renewal process based on the sequence $S_n$, which is a
Markov process with the step with the lack of memory property. Such processes
take values in $\mathbb{N}_0$, however they do not have to be Markov processes,
do not have to have independent increments, even in generalized convolution
sense. It turns out that the second construction is possible only for monotonic
generalized convolutions which admit the existence of distributions with lack
of memory, thus we also study these properties.


title:
Correlation of $\gamma$-ray and high-energy cosmic ray fluxes from the
  giant lobes of Centaurus A

abstract:
  The spectral energy distribution of giant lobes shows one main peak detected
by the Wilkinson Microwave Anisotropy Probe at low energy of $10^{-5}$ eV and a
faint $\gamma$-ray flux imaged by Fermi Large Area Telescope at energy $\geq$
100 MeV. On the other hand, Pierre Auger Observatory associated some
ultra-high-energy cosmic rays with the direction of Centaurus A and IceCube
reported 28 neutrino-induced events in a TeV - PeV energy range, although none
of them related with this direction. In this work we describe the spectra for
each of the lobes, the main peak with synchrotron radiation, and the
high-energy emission with $pp$ interactions. Obtaining a good description of
the main peak, we deduce the magnetic fields, electron densities and the age of
the lobes. Describing successfully the $\gamma$-ray emission by pp interactions
and considering as targets those thermal particles in the lobes with density in
the range $10^{-10}$ to $10^{-4}\, {\rm cm}^{-3}$, we calculate the number of
ultra-high-energy cosmic rays. Although $\gamma$-spectrum is well described
with any density in the range, only when $10^{-4}\, {\rm cm}^{-3}$ is
considered, the expected number of events is very similar to that observed by
Pierre Auger Observatory, otherwise we obtain an excessive luminosity. In
addition, correlating the $\gamma$-ray and neutrino fluxes through pp
interactions we calculate the number of high-energy neutrinos expected in
IceCube. Our analysis indicates that neutrinos above 1 TeV cannot be produced
in the lobes of Centaurus A, which is consistent with the results recently
published by IceCube Collaboration.


title:
Quantum Ensemble Classification: A Sampling-based Learning Control
  Approach

abstract:
  Quantum ensemble classification has significant applications in
discrimination of atoms (or molecules), separation of isotopic molecules and
quantum information extraction. However, quantum mechanics forbids
deterministic discrimination among nonorthogonal states. The classification of
inhomogeneous quantum ensembles is very challenging since there exist
variations in the parameters characterizing the members within different
classes. In this paper, we recast quantum ensemble classification as a
supervised quantum learning problem. A systematic classification methodology is
presented by using a sampling-based learning control (SLC) approach for quantum
discrimination. The classification task is accomplished via simultaneously
steering members belonging to different classes to their corresponding target
states (e.g., mutually orthogonal states). Firstly a new discrimination method
is proposed for two similar quantum systems. Then an SLC method is presented
for quantum ensemble classification. Numerical results demonstrate the
effectiveness of the proposed approach for the binary classification of
two-level quantum ensembles and the multiclass classification of multilevel
quantum ensembles.


title: Scattered Subsets of Groups

abstract:
  We define the scattered subsets of a group as asymptotic counterparts of
scattered subspaces of a topological space, and prove that a subset $A$ of a
group $G$ is scattered if and only if $A$ contains no piecewise shifted
$IP$-subsets. For an amenable group $G$ and a scattered subspace $A$ of $G$, we
show that $\mu(A)=0$ for each left invariant Banach measure $\mu$ on $G$.


title:
Formal Ontology Learning on Factual IS-A Corpus in English using
  Description Logics

abstract:
  Ontology Learning (OL) is the computational task of generating a knowledge
base in the form of an ontology given an unstructured corpus whose content is
in natural language (NL). Several works can be found in this area most of which
are limited to statistical and lexico-syntactic pattern matching based
techniques Light-Weight OL. These techniques do not lead to very accurate
learning mostly because of several linguistic nuances in NL. Formal OL is an
alternative (less explored) methodology were deep linguistics analysis is made
using theory and tools found in computational linguistics to generate formal
axioms and definitions instead simply inducing a taxonomy. In this paper we
propose "Description Logic (DL)" based formal OL framework for learning factual
IS-A type sentences in English. We claim that semantic construction of IS-A
sentences is non trivial. Hence, we also claim that such sentences requires
special studies in the context of OL before any truly formal OL can be
proposed. We introduce a learner tool, called DLOL_IS-A, that generated such
ontologies in the owl format. We have adopted "Gold Standard" based OL
evaluation on IS-A rich WCL v.1.1 dataset and our own Community representative
IS-A dataset. We observed significant improvement of DLOL_IS-A when compared to
the light-weight OL tool Text2Onto and formal OL tool FRED.


title: Description Logics based Formalization of Wh-Queries

abstract:
  The problem of Natural Language Query Formalization (NLQF) is to translate a
given user query in natural language (NL) into a formal language so that the
semantic interpretation has equivalence with the NL interpretation.
Formalization of NL queries enables logic based reasoning during information
retrieval, database query, question-answering, etc. Formalization also helps in
Web query normalization and indexing, query intent analysis, etc. In this paper
we are proposing a Description Logics based formal methodology for wh-query
intent (also called desire) identification and corresponding formal
translation. We evaluated the scalability of our proposed formalism using
Microsoft Encarta 98 query dataset and OWL-S TC v.4.0 dataset.


title:
Joint Phase Tracking and Channel Decoding for OFDM Physical-Layer
  Network Coding

abstract:
  This paper investigates the problem of joint phase tracking and channel
decoding in OFDM based Physical-layer Network Coding (PNC) systems. OFDM
signaling can obviate the need for tight time synchronization among multiple
simultaneous transmissions in the uplink of PNC systems. However, OFDM PNC
systems are susceptible to phase drifts caused by residual carrier frequency
offsets (CFOs). In the traditional OFDM system in which a receiver receives
from only one transmitter, pilot tones are employed to aid phase tracking. In
OFDM PNC systems, multiple transmitters transmit to a receiver, and these pilot
tones must be shared among the multiple transmitters. This reduces the number
of pilots that can be used by each transmitting node. Phase tracking in OFDM
PNC is more challenging as a result. To overcome the degradation due to the
reduced number of per-node pilots, this work supplements the pilots with the
channel information contained in the data. In particular, we propose to solve
the problems of phase tracking and channel decoding jointly. Our solution
consists of the use of the expectation-maximization (EM) algorithm for phase
tracking and the use of the belief propagation (BP) algorithm for channel
decoding. The two problems are solved jointly through iterative processing
between the EM and BP algorithms. Simulations and real experiments based on
software-defined radio show that the proposed method can improve phase tracking
as well as channel decoding performance.


title: Jordan derivations on block upper triangular matrix algebras

abstract:
  We provide that any Jordan derivation from the block upper triangular matrix
algebra $\T = \T(n_{1},n_{2}, \cdots, n_{k})\subseteq M_{n}(\mathbb{\C})$ into
a $2$-torsion free unital $\T$-bimodule is the sum of a derivation and an
antiderivation.


title: Electric field control of multiferroic domain wall motion

abstract:
  The dynamics of a multiferroic domain wall in which an electric field can
couple to the magnetization via inhomogeneous magnetoelectric interaction is
investigated by the collective-coordinate framework. We show how the electric
field is capable of delaying the onset of the Walker breakdown of the domain
wall motion, leading to a significant enhancement of the maximum wall velocity.
Moreover, we show that in the stationary regime the chirality of the domain
wall can be efficiently reversed when the electric field is applied along the
direction of the magnetic field. These characteristics suggest that the
multiferroic domain wall may provide a new prospective means to design faster
and low-power-consumption domain wall devices.


title: On derivations and Jordan derivations through zero products

abstract:
  Let $\A$ be a unital complex (Banach) algebra and $\M$ be a unital (Banach)
$\A$-bimodule. The main results describe (continuous) derivations or Jordan
derivations $D:\A\rightarrow \M$ through the action on zero products, under
certain conditions on $\A$ and $\M$. The proof is based on the consideration of
a (continuous) bilinear map satisfying a related condition.


title:
Continuous linear maps on reflexive algebras behaving like Jordan left
  derivations at idempotent-product elements

abstract:
  Let $\A$ be a Banach algebra with unity $\textbf{1}$ and $ \M $ be a unital
Banach left $ \A $-module. let $ \delta: \A \rightarrow \M$ be a continuous
linear map with the property that \[ a,b\in \A, \quad ab+ba=z \Rightarrow
2a\delta(b)+2b\delta(a)=\delta(z), \] where $z\in \A$. In this article, first
we characterize $\delta$ for $z=\textbf{1}$. Then we consider the case
$\A=\M=Alg \mathcal{L}$, where $Alg \mathcal{L}$ is areflexive algebra on a
Hilbert space $ \Hh $ and $z=P$ is a non-triavial idempotent in $\A$ with
$P(\Hh) \in \mathcal{L}$ and describe $\delta$. Finally we apply the main
results to $CSL$-algebras, irreducible $CDC$ algebras and nest algebras on a
Hilbert space $\Hh$.


title: Empirical modeling of the impact factor distribution

abstract:
  The distribution of impact factors has been modeled in the recent informetric
literature using two-exponent law proposed by Mansilla et al. (2007). This
paper shows that two distributions widely-used in economics, namely the Dagum
and Singh-Maddala models, possess several advantages over the two-exponent
model. Compared to the latter, the former give as good as or slightly better
fit to data on impact factors in eight important scientific fields. In contrast
to the two-exponent model, both proposed distributions have closed-from
probability density functions and cumulative distribution functions, which
facilitates fitting these distributions to data and deriving their statistical
properties.


title: Ultracold Scattering and Universal Correlations

abstract:
  Particle-dimer scattering below and above the three-body threshold is studied
using Faddeev differential equations. Correllations between the observables are
shown and some analogies between three-nucleon and three-atom systems are
dicussed.


title:
Joint segmentation of multivariate time series with hidden process
  regression for human activity recognition

abstract:
  The problem of human activity recognition is central for understanding and
predicting the human behavior, in particular in a prospective of assistive
services to humans, such as health monitoring, well being, security, etc. There
is therefore a growing need to build accurate models which can take into
account the variability of the human activities over time (dynamic models)
rather than static ones which can have some limitations in such a dynamic
context. In this paper, the problem of activity recognition is analyzed through
the segmentation of the multidimensional time series of the acceleration data
measured in the 3-d space using body-worn accelerometers. The proposed model
for automatic temporal segmentation is a specific statistical latent process
model which assumes that the observed acceleration sequence is governed by
sequence of hidden (unobserved) activities. More specifically, the proposed
approach is based on a specific multiple regression model incorporating a
hidden discrete logistic process which governs the switching from one activity
to another over time. The model is learned in an unsupervised context by
maximizing the observed-data log-likelihood via a dedicated
expectation-maximization (EM) algorithm. We applied it on a real-world
automatic human activity recognition problem and its performance was assessed
by performing comparisons with alternative approaches, including well-known
supervised static classifiers and the standard hidden Markov model (HMM). The
obtained results are very encouraging and show that the proposed approach is
quite competitive even it works in an entirely unsupervised way and does not
requires a feature extraction preprocessing step.


title:
Critical temperature of noninteracting bosonic gases in cubic optical
  lattices at arbitrary integer fillings

abstract:
  We have shown that the critical temperature of a Bose-Einstein condensate to
a normal phase transition of noninteracting bosons in cubic optical lattices
has a linear dependence on the filling factor, especially at large densities.
The condensed fraction exhibits a linear power law dependence on temperature in
contrast to the case of ideal homogeneous Bose gases.


title:
Characterizing Jordan centralizers and Jordan generalized derivations on
  triangular rings through zero products

abstract:
  Let $\T$ be a $2$-torsion free triangular ring and let $\varphi:\T\rightarrow
\T$ be an additive map. We prove that if $\A \varphi(\B)+\varphi(\B)\A=0$
whenever $\A,\B\in \T$ are such that $\A\B=\B\A=0$, then $\varphi$ is a
centralizer. It is also shown that if $\tau:\T\rightarrow \T$ is an additive
map satisfying $\label{t2} X,Y\in \T, \quad XY=YX=0\Rightarrow X
\tau(Y)+\delta(X)Y+Y\delta(X)+\tau(Y)X=0$, where $\delta:\T\rightarrow \T $ is
an additive map satisfies $X,Y\in \T, \quad XY=YX=0\Rightarrow X
\delta(Y)+\delta(X)Y+Y\delta(X)+\delta(Y)X=0$, then $\tau(\A)=d(\A)+\A
\tau(\textbf{1})$, where $d:\T\rightarrow \T$ is a derivation and
$\tau(\textbf{1})$ lies in the centre of the $\T$. By applying this results we
obtain some corollaries concerning (Jordan) centralizers and (Jordan)
derivations on triangular rings.


title:
Characterizations of left derivable maps at non-trivial idempotents on
  nest algebras

abstract:
  Let $Alg \mathcal{N}$ be a nest algebra associated with the nest $
\mathcal{N}$ on a (real or complex) Banach space $\X$. Suppose that there
exists a non-trivial idempotent $P\in Alg\mathcal{N}$ with range $P(\X) \in
\mathcal{N}$ and $\delta:Alg\mathcal{N} \rightarrow Alg\mathcal{N}$ is a
continuous linear mapping (generalized) left derivable at $P$, i.e.
$\delta(ab)=a\delta(b)+b\delta(a)$
($\delta(ab)=a\delta(b)+b\delta(a)-ba\delta(I)$) for any $a,b\in
Alg\mathcal{N}$ with $ab=P$. we show that $\delta$ is a (generalized) Jordan
left derivation. Moreover, we characterize the strongly operator topology
continuous linear maps $\delta$ on some nest algebra $Alg\mathcal{N}$ with
property that $\delta(P)=2P\delta(P)$ or $\delta(P)=2P\delta(P)-P\delta(I)$
every idempotent $P$ in $Alg\mathcal{N}$.


title:
Optimizing weights of protein energy function to improve ab initio
  protein structure prediction

abstract:
  Predicting protein 3D structure from amino acid sequence remains as a
challenge in the field of computational biology. If protein structure
homologues are not found, one has to construct 3D structural conformations from
the very beginning by the so-called ab initio approach, using some empirical
energy functions. A successful algorithm in this category, Rosetta, creates an
ensemble of decoy conformations by assembling selected best short fragments of
known protein structures and then recognizes the native state as the highly
populated one with a very low energy. Typically, an energy function is a
combination of a variety of terms characterizing different structural features,
say hydrophobic interactions, van der Waals force, hydrogen bonding, etc. It is
critical for an energy function to be capable to distinguish native-like
conformations from non-native ones and to drive most initial conformations
assembled from fragments to a native-like one in a conformation search process.
In this paper we propose a linear programming algorithm to optimize weighting
of a total of 14 energy terms used in Rosetta. We reverse the Monte Carlo
process of Rosetta to approach native-like conformations to a process
generating from the native state an ensemble of initial conformations most
relevant to the native state. Intuitively, an ideal weighting scheme would
result in a large "basin of attraction" of the native structure, which leads to
an objective function for the linear programming. We have examined the proposal
on several benchmark proteins, and the experimental results suggest that the
optimized weights enlarge the attraction basin of the native state and improve
the quality of the predicted native states as well. In addition, a comparison
of optimal weighting schema for proteins of different classes indicates that in
different protein classes energy terms may have different effects.


title: On Cohomologically Complete Intersections in Cohen-Macaulay Rings

abstract:
  An ideal I of a local Cohen-Macaulay ring R is called a cohomologically
complete intersection if H^i_I(R) = 0 for all i \neq c = height(I). Here
H^i_I(R), i \in Z denotes the local cohomology of R with respect to I. For
instance, a set-theoretic complete intersection is a cohomologically complete
intersection. Here we study cohomologically complete intersections from various
homological points of view. As a main result it is shown that the vanishing
H^iI_(M) = 0 for all i \neq c is completely encoded in homological properties
of H^cI_(M). These results extend those of Hellus and Schenzel (see [13,
Theorem 0.1]) shown in the case of a local Gorenstein ring. In particular we
get a characterization of cohomologically complete intersections in a
Cohen-Macaulay ring in terms of the canonical module.