title:
A multiple filter test for the detection of rate changes in renewal
  processes with varying variance

abstract:
  Nonstationarity of the event rate is a persistent problem in modeling time
series of events, such as neuronal spike trains. Motivated by a variety of
patterns in neurophysiological spike train recordings, we define a general
class of renewal processes. This class is used to test the null hypothesis of
stationary rate versus a wide alternative of renewal processes with finitely
many rate changes (change points). Our test extends ideas from the filtered
derivative approach by using multiple moving windows simultaneously. To adjust
the rejection threshold of the test, we use a Gaussian process, which emerges
as the limit of the filtered derivative process. We also develop a multiple
filter algorithm, which can be used when the null hypothesis is rejected in
order to estimate the number and location of change points. We analyze the
benefits of multiple filtering and its increased detection probability as
compared to a single window approach. Application to spike trains recorded from
dopamine midbrain neurons in anesthetized mice illustrates the relevance of the
proposed techniques as preprocessing steps for methods that assume rate
stationarity. In over 70% of all analyzed spike trains classified as rate
nonstationary, different change points were detected by different window sizes.


title: Sparse approximation and recovery by greedy algorithms

abstract:
  We study sparse approximation by greedy algorithms. Our contribution is
two-fold. First, we prove exact recovery with high probability of random
$K$-sparse signals within $\lceil K(1+\e)\rceil$ iterations of the Orthogonal
Matching Pursuit (OMP). This result shows that in a probabilistic sense the OMP
is almost optimal for exact recovery. Second, we prove the Lebesgue-type
inequalities for the Weak Chebyshev Greedy Algorithm, a generalization of the
Weak Orthogonal Matching Pursuit to the case of a Banach space. The main
novelty of these results is a Banach space setting instead of a Hilbert space
setting. However, even in the case of a Hilbert space our results add some new
elements to known results on the Lebesque-type inequalities for the RIP
dictionaries. Our technique is a development of the recent technique created by
Zhang.


title: Fibonacci numbers and self-dual lattice structures for plane branches

abstract:
  Consider a plane branch, that is, an irreducible germ of curve on a smooth
complex analytic surface. We define its blow-up complexity as the number of
blow-ups of points necessary to achieve its minimal embedded resolution. We
show that there are $F_{2n-4}$ topological types of blow-up complexity $n$,
where $F_{n}$ is the $n$-th Fibonacci number. We introduce
complexity-preserving operations on topological types which increase the
multiplicity and we deduce that the maximal multiplicity for a plane branch of
blow-up complexity $n$ is $F_n$. It is achieved by exactly two topological
types, one of them being distinguished as the only type which maximizes the
Milnor number. We show moreover that there exists a natural partial order
relation on the set of topological types of plane branches of blow-up
complexity $n$, making this set a distributive lattice, that is, any two of its
elements admit an infimum and a supremum, each one of these operations beeing
distributive relative to the second one. We prove that this lattice admits a
unique order-inverting bijection. As this bijection is involutive, it defines a
duality for topological types of plane branches. The type which maximizes the
Milnor number is also the maximal element of this lattice and its dual is the
unique type with minimal Milnor number. There are $F_{n-2}$ self-dual
topological types of blow-up complexity $n$. Our proofs are done by encoding
the topological types by the associated Enriques diagrams.


title: Selective covering properties of product spaces

abstract:
  We study the preservation of selective covering properties, including classic
ones introduced by Menger, Hurewicz, Rothberger, Gerlits and Nagy, and others,
under products with some major families of concentrated sets of reals.
  Our methods include the projection method introduced by the authors in an
earlier work, as well as several new methods. Some special consequences of our
main results are (definitions provided in the paper): \be
  \item Every product of a concentrated space with a Hurewicz $\sone(\Ga,\Op)$
space satisfies $\sone(\Ga,\Op)$. On the other hand, assuming \CH{}, for each
Sierpi\'nski set $S$ there is a Luzin set $L$ such that $L\x S$ can be mapped
onto the real line by a Borel function.
  \item Assuming Semifilter Trichotomy, every concentrated space is
productively Menger and productively Rothberger.
  \item Every scale set is productively Hurewicz, productively Menger,
productively Scheepers, and productively Gerlits--Nagy.
  \item Assuming $\fd=\aleph_1$, every productively Lindel\"of space is
productively Hurewicz, productively Menger, and productively Scheepers. \ee
  A notorious open problem asks whether the additivity of Rothberger's property
may be strictly greater than $\add(\cN)$, the additivity of the ideal of
Lebesgue-null sets of reals. We obtain a positive answer, modulo the
consistency of Semifilter Trichotomy with $\add(\cN)<\cov(\cM)$.
  Our results improve upon and unify a number of results, established earlier
by many authors.


title: The Hirsch conjecture holds for normal flag complexes

abstract:
  Using an intuition from metric geometry, we prove that any flag and normal
simplicial complex satisfies the non-revisiting path conjecture. As a
consequence, the diameter of its facet-ridge graph is smaller than the number
of vertices minus the dimension, as in the Hirsch conjecture. This proves the
Hirsch conjecture for all flag polytopes, and more generally, for all
(connected) flag homology manifolds.


title: Formation of a penumbra in a decaying sunspot

abstract:
  Context : Penumbrae are an important characteristic of sunspots, whose
formation is intricately related to the nature of sub-photospheric magnetic
fields. Aims : We study the formation of a penumbra in a decaying sunspot and
compare its properties with those seen during the development of a proto-spot.
Methods : High-resolution spectropolarimetric observations of active region
NOAA 11283 were obtained from the spectro-polarimeter on board Hinode. These
were complemented with full-disk filtergrams of continuum intensity,
line-of-sight magnetograms, and dopplergrams from the Helioseismic and Magnetic
Imager at high cadence. Results : The formation of a penumbra in the decaying
sunspot occurs after the coalescence of the sunspot with a magnetic
fragment/pore, which initially formed in the quiet Sun close to an emerging
flux region. At first, a smaller set of penumbral filaments develop near the
location of the merger with very bright penumbral grains with intensities of
1.2 I_QS, upflows of 4 km/s, and a lifetime of 10 hr. During the decay of these
filaments, a larger segment of a penumbra forms at the location of the
coalescence. These new filaments are characterized by nearly supersonic
downflows of 6.5 km/s that change to a regular Evershed flow nearly 3 hr later.
Conclusions : The coalescence of the pore with the decaying sunspot provided
sufficient magnetic flux for the penumbra to form in the sunspot. The emerging
flux region could have played a decisive role in this process because the
formation occurred at the location of the merger and not on the opposite side
of the sunspot.


title: Hindman's Coloring Theorem in arbitrary semigroups

abstract:
  Hindman's Theorem asserts that, for each finite coloring of the natural
numbers, there are distinct natural numbers $a_1,a_2,\dots$ such that all of
the sums $a_{i_1}+a_{i_2}+\dots+a_{i_m}$ ($m\ge 1$, $i_1<i_2<\dots<i_m$) have
the same color.
  The celebrated Galvin--Glazer proof of Hindman's Theorem and a classification
of semigroups due to Shevrin, imply together that, for each finite coloring of
each infinite semigroup $S$, there are distinct elements $a_1,a_2,\dots$ of $S$
such that all but finitely many of the products $a_{i_1}a_{i_2}\cdots a_{i_m}$
($m\ge 1$, $i_1<i_2<\dots<i_m$) have the same color.
  Using these methods, we characterize the semigroups $S$ such that, for each
finite coloring of $S$, there is an infinite \emph{subsemigroup} $T$ of $S$,
such that all but finitely many members of $T$ have the same color.
  Our characterization connects our study to a classical problem of Milliken,
Burnside groups and Tarski Monsters. We also present an application of Ramsey's
graph-coloring theorem to Shevrin's theory.


title: Cones of G manifolds and Killing spinors with skew torsion

abstract:
  This paper is devoted to the systematic investigation of the cone
construction for Riemannian $G$ manifolds M, endowed with an invariant metric
connection with skew torsion $\nabla^c$, a `characteristic connection'. We show
how to define a $\bar G$ structure on the cone $\bar M=M\x \R^+$ with a cone
metric, and we prove that a Killing spinor with torsion on $M$ induces a spinor
on $\bar M$ that is parallel w.\,r.\,t. the characteristic connection of the
$\bar G$ structure. We establish the explicit correspondence between classes of
metric almost contact structures on $M$ and almost hermitian classes on $\bar
M$, resp. between classes of $G_2$ structures on $M$ and $\Spin(7)$ structures
on $\bar M$. Examples illustrate how this `cone correspondence with torsion'
works in practice.


title: $R$-Symmetry Breaking in Supersymmetric Hybrid Inflation

abstract:
  We consider a supersymmetric hybrid inflation scenario in which the U(1)
$R$-symmetry is explicitly broken by Planck scale suppressed operators in the
superpotential. We provide an example with minimal K\"ahler potential, with the
$R$-symmetry breaking term relevant during inflation being $\alpha S^4$, where
$S$ denotes the well-known gauge singlet inflaton superfield. The inflationary
potential takes into account the radiative and supergravity corrections, as
well as the soft supersymmetry breaking terms. For successful inflation, with
the scalar spectral index in the currently preferred range, $n_s \approx 0.97
\pm 0.010$, $| \alpha |$ $\lesssim 10^{-7}$. The tensor to scalar ratio $r
\lesssim 10^{-4}$, while $| \text{d} n_s / \text{d} \ln k | \sim
\mathcal{O}(10^{-3})-\mathcal{O}(10^{-4})$


title:
Voros coefficients of the third Painelv'e equation and parametric Stokes
  phenomena

abstract:
  We compute all Voros coefficients of the third Painleve equation of the type
D6 (in the sense of [OKSO]) and discuss the parametric Stokes phenomena
occurring to formal transseries solutions. We derive connection formulas for
parametric Stokes phenomena under an assumption for Borel summability of
transseries solutions. Furthermore, we also compute the Voros coefficient of
the degenerate third Painleve equation of the type D7 in Appendix D.


title:
Talbot effect for the cubic nonlinear Schr\"odinger equation on the
  torus

abstract:
  We study the evolution of the one dimensional periodic cubic Schr\"odinger
equation (NLS) with bounded variation data. For the linear evolution, it is
known that for irrational times the solution is a continuous, nowhere
differentiable fractal-like curve. For rational times the solution is a linear
combination of finitely many translates of the initial data. Such a dichotomy
was first observed by Talbot in an optical experiment performed in 1836. In
this paper we prove that a similar phenomenon occurs in the case of the NLS
equation.


title:
A survey on sensing methods and feature extraction algorithms for SLAM
  problem

abstract:
  This paper is a survey work for a bigger project for designing a Visual SLAM
robot to generate 3D dense map of an unknown unstructured environment. A lot of
factors have to be considered while designing a SLAM robot. Sensing method of
the SLAM robot should be determined by considering the kind of environment to
be modeled. Similarly the type of environment determines the suitable feature
extraction method. This paper goes through the sensing methods used in some
recently published papers. The main objective of this survey is to conduct a
comparative study among the current sensing methods and feature extraction
algorithms and to extract out the best for our work.


title: NSLS-II X-ray diagnostics development

abstract:
  NSLS-II x-ray diagnostics will provide continuous online data of electron
beam dimensions, which will be used to derive electron beam emittance and
energy spread. It will also provide information of electron beam tilt for
coupling evaluation. X-ray diagnostics will be based on imaging of bending
magnet and three-pole wiggler synchrotron radiation sources. Diagnostics from
three-pole wiggler source will be used to derive particles energy spread. Beta
and dispersion functions will have to be evaluated for emittance and particles
energy spread calculations. Due to small vertical source sizes imaging need to
be performed in x-ray energy range. X-ray optics with high numerical aperture,
such as compound refractive lens, will be used to achieve required spatial
resolution. Optical setups with different magnifications in horizontal and
vertical directions fill be employed to deal with large aspect ratio of the
source. X-ray diagnostics setup will include x-ray imaging optics,
monochromatization, x-ray imaging and recording components.


title: Restricted Sum Formula of Multiple Zeta Values

abstract:
  Let Q(4n,d) be the sum of all multiple zeta values of depth d and weight 4n
whose arguments are all multiples of 4. In this paper we derive a formula of
Q(4n,d) for all d>2 as a finite sum involving binomial coefficients, Bernoulli
numbers and the quantities Q(4m,2). The number of terms is about 3d^2/8 which
is independent of n.


title: New Families of Weighted Sum Formulas for Multiple Zeta Values

abstract:
  In this paper we use the generating functions and the double shuffle
relations satisfied the multiple zeta values to derive some new families of
identities.


title: Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations

abstract:
  We study an approximate version of the Schwinger-Dyson equation that controls
the nonperturbative behavior of the ghost-gluon vertex, in the Landau gauge. In
particular, we focus on the form factor that enters in the dynamical equation
for the ghost dressing function, in the same gauge, and derive its integral
equation, in the "one-loop dressed" approximation. We consider two special
kinematic configurations, which simplify the momentum dependence of the unknown
quantity; in particular, we study the soft gluon case, and the well-known
Taylor limit. When coupled with the Schwinger-Dyson equation of the ghost
dressing function, the contribution of this form factor provides considerable
support to the relevant integral kernel. As a consequence, the solution of this
coupled system of integral equations furnishes a ghost dressing function that
reproduces the standard lattice results rather accurately, without the need to
artificially increase the value of the gauge coupling.


title: Angular momentum blockade in nanoscale high-T_c superconducting grains

abstract:
  We discuss the angular momentum blockade in small d-wave superconducting
grains in an external field. We find that abrupt changes in angular momentum
state of the condensate, angular momentum blockade, occur as a result of
changes in the angular momentum of the condensate in an external magnetic
field. The effect rep- resents a direct analogy with the Coulomb blockade. We
use the Ginzburg-Landau formalism to illustrate how a magnetic field induces a
deviation from the d-wave symmetry which is described by a (d + id')-order
parameter. We derive the behavior of the volume magnetic susceptibility as a
function of the magnetic field, and corresponding magnetization jumps at
critical values of the field that should be experimentally observable in
superconducting grains.


title: Predictions in multifield models of inflation

abstract:
  This paper presents a method for obtaining an analytic expression for the
density function of observables in multifield models of inflation with
sum-separable potentials. The most striking result is that the density function
in general possesses a sharp peak and the location of this peak is only mildly
sensitive to the distribution of initial conditions. A simple argument is given
for why this result holds for a more general class of models than just those
with sum-separable potentials and why for such models, it is possible to obtain
robust predictions for observable quantities. As an example, the joint density
function of the spectral index and running in double quadratic inflation is
computed. For scales leaving the horizon 55 e-folds before the end of
inflation, the density function peaks at n_{s}=0.967 and \alpha=0.0006 for the
spectral index and running respectively.


title: Light-assisted, templated self assembly using a photonic-crystal slab

abstract:
  The process of self-assembly is guided by the minimization of free energy,
which limits the symmetries available for assembly and ultimately the
usefulness of devices fabricated in this fashion. Here, we demonstrate
experimentally for the first time a technique which we term light-assisted,
templated self assembly. By exciting a guided-resonance mode of a
photonic-crystal slab, an optical potential landscape is created above the slab
which results in stably trapped, periodic patterns of particles at the
potential minima. The underlying symmetry of particle clusters matches that of
the photonic-crystal lattice, thus enabling square, rectangular or other
symmetries not usually available for assembly due to energy concerns. We
anticipate that this technique could be used to tailor the optical
characteristics of nanofabricated devices, and the optical trapping techniques
demonstrated herein may enable a variety of complex nanomanipulation tools and
lab-on-a-chip devices.


title:
Spin polarization in the Hubbard model with Rashba spin-orbit coupling
  on a ladder

abstract:
  The competition between on-site Coulomb repulsion and Rashba spin-orbit
coupling (RSOC) is studied on two-leg ladders by numerical techniques. By
studying persistent currents in closed rings by exact diagonalization, it is
found that the contribution to the current due to the RSOC V_{SO}, for a fixed
value of the Hubbard repulsion U reaches a maximum at intermediate values of
V_{SO}. By increasing the repulsive Hubbard coupling U, this spin-flipping
current is suppressed and eventually it becomes opposite to the spin-conserving
current. The main result is that the spin accumulation defined as the relative
spin polarization between the two legs of the ladder is enhanced by U. Similar
results for this Hubbard-Rashba model are observed for a completely different
setup in which two halves of the ladders are connected to a voltage bias and
the ensuing time-dependent regime is studied by the density
matrix-renormalization group technique. It is also interesting a combined
effect between V_{SO} and U leading to a strong enhancement of
antiferromagnetic order which in turn may explain the observed behavior of the
spin-flipping current. The implications of this enhancement of the spin-Hall
effect with electron correlations for spintronic devices is discussed.


title: Implicit Simulation Methods for Stochastic Chemical Kinetics

abstract:
  In biochemical systems some of the chemical species are present with only
small numbers of molecules. In this situation discrete and stochastic
simulation approaches are more relevant than continuous and deterministic ones.
The fundamental Gillespie's stochastic simulation algorithm (SSA) accounts for
every reaction event, which occurs with a probability determined by the
configuration of the system. This approach requires a considerable
computational effort for models with many reaction channels and chemical
species. In order to improve efficiency, tau-leaping methods represent multiple
firings of each reaction during a simulation step by Poisson random variables.
For stiff systems the mean of this variable is treated implicitly in order to
ensure numerical stability.
  This paper develops fully implicit tau-leaping-like algorithms that treat
implicitly both the mean and the variance of the Poisson variables. The
construction is based on adapting weakly convergent discretizations of
stochastic differential equations to stochastic chemical kinetic systems.
Theoretical analyses of accuracy and stability of the new methods are performed
on a standard test problem. Numerical results demonstrate the performance of
the proposed tau-leaping methods.


title: LHC Data and Aspects of New Physics

abstract:
  We consider the implications of current LHC data on new physics with strongly
interacting sector(s). We parametrize the relevant interaction Lagrangian and
study the best fit values in light of current data. These are then considered
within a simple framework of bosonic technicolor. We consider first the
effective Lagrangian containing only spin-0 composites of the underlying
theory, which corresponds to a two Higgs doublet model. With respect to this
baseline, the effects of the vector bosons, a staple in strong interacting
theories, are illustrated by considering two cases: first, the case where the
effects of the vector bosons arise only through their mixing with the
electroweak SU(2)_L gauge fields and, second, the case where also a direct
interaction term with neutral scalars exists. We find that the case of a W'
coupling to the Higgs boson only via the mixing of vector fields produces a
negligible improvement in the fit of the present data, while even a small
direct coupling of the composite vector fields to the Higgs allows the tested
model to fit optimally the experimental results.


title: Fusion of Critical Defect Lines in the 2D Ising Model

abstract:
  Two defect lines separated by a distance delta look from much larger
distances like a single defect. In the critical theory, when all scales are
large compared to the cutoff scale, this fusion of defect lines is universal.
We calculate the universal fusion rule in the critical 2D Ising model and show
that it is given by the Verlinde algebra of primary fields, combined with group
multiplication in O(1,1)/Z_2. Fusion is in general singular and requires the
subtraction of a divergent Casimir energy.


title:
Iterative, backscatter-analysis algorithms for increasing transmission
  and focusing light through highly-scattering random media

abstract:
  Scattering hinders the passage of light through random media and consequently
limits the usefulness of optical techniques for sensing and imaging. Thus,
methods for increasing the transmission of light through such random media are
of interest. Against this backdrop, recent theoretical and experimental
advances have suggested the existence of a few highly transmitting
eigen-wavefronts with transmission coefficients close to one in strongly
backscattering random media.
  Here, we numerically analyze this phenomenon in 2-D with fully spectrally
accurate simulators and provide rigorous numerical evidence confirming the
existence of these highly transmitting eigen-wavefronts in random media with
periodic boundary conditions that is composed of hundreds of thousands of
non-absorbing scatterers.
  Motivated by bio-imaging applications where it is not possible to measure the
transmitted fields, we develop physically realizable algorithms for increasing
the transmission through such random media using backscatter analysis. We show
via numerical simulations that the algorithms converge rapidly, yielding a
near-optimum wavefront in just a few iterations. We also develop an algorithm
that combines the knowledge of these highly transmitting eigen-wavefronts
obtained from backscatter analysis, with intensity measurements at a point to
produce a near-optimal focus with significantly fewer measurements than a
method that does not utilize this information.

categories: physics.optics cond-mat.dis-nn math-ph math.MP physics.comp-ph


title: On Transmission Node Structure in Interacting Systems

abstract:
  We provide a series of generic results regarding the structure of nodes in
the retarded Green's function G of an interacting system, as exemplified by the
extended Hubbard model. In particular: (1) due to an incompatibility between
interactions of nearly any form and a precise definition of series propagation,
degenerate geometric nodes are split or lifted by interactions; (2) degenerate
nodes generically exist at the boundary between regimes of node splitting and
node lifting and, in the presence of interactions, they require fine-tuning;
(3) degenerate nodes are highly sensitive to perturbation and their sensitivity
increases with their degeneracy. Moreover, for high degeneracies there is a
tendency toward lifting rather than splitting.
  We also propose a characterization of the node structure in extended Hubbard
models at arbitrary filling in terms of either the eigenvalues of G, or
equivalently, the roots of a polynomial. This shows that "Mott nodes"
previously predicted to occur in the transmission spectra of molecular radicals
are fundamentally associated with nodes in the eigenvalues of the retarded
Green's function that occur in open-shelled systems. This is accompanied by a
low-energy two-pole approximation wherein each of the eigenvalues of G are
mapped onto a Fermi-liquid-like renormalization of the Anderson model, for
which the exact self-energy is provided.


title:
Row-strict Quasisymmetric Schur Functions, Characterizations of Demazure
  Atoms, and Permuted Basement Nonsymmetric Macdonald Polynomials

abstract:
  We give a Littlewood-Richardson type rule for expanding the product of a
row-strict quasisymmetric Schur function and a symmetric Schur function in
terms of row-strict quasisymmetric Schur functions. We then discuss a family of
polynomials called Demazure atoms. We review the known characterizations of
these polynomials and then present two new characterizations. Finally, we
consider a family of polynomials called permuted basement nonsymmetric
Macdonald polynomials which are obtained by permuting the basement of the
combinatorial formula of Haglund, Haiman, and Loehr for nonsymmetric Macdonald
polynomials. We show that these permuted basement nonsymmetric Macdonald
polynomials are the simultaneous eigenfunctions of a family of commuting
operators in the double affine Hecke algebra.


title:
The Class of Purely Unrectifiable Sets in the Hilbert Space is
  coanalytic-complete

abstract:
  The space $F(\ell_2)$ of all closed subsets of $\ell_2$ is a Polish space. We
show that the subset $P\subset F(\ell_2)$ consisting of the purely
1-unrectifiable sets is $\Pii$-complete.


title: Dynamical properties of models for the Calvin cycle

abstract:
  Modelling the Calvin cycle of photosynthesis leads to various systems of
ordinary differential equations and reaction-diffusion equations. They differ
by the choice of chemical substances included in the model, the choices of
stoichiometric coefficients and chemical kinetics and whether or not diffusion
is taken into account. This paper studies the long-time behaviour of solutions
of several of these systems, concentrating on the ODE case. In some examples it
is shown that there exist two positive stationary solutions. In several cases
it is shown that there exist solutions where the concentrations of all
substrates tend to zero at late times and others (runaway solutions) where the
concentrations of all substrates increase without limit. In another case, where
the concentration of ATP is explicitly included, runaway solutions are ruled
out.


title: The Burst Mode of Accretion in Primordial Protostars

abstract:
  We study the formation and long-term evolution of primordial protostellar
disks harbored by first stars using numerical hydrodynamics simulations in the
thin-disk limit. The initial conditions are specified by pre-stellar cores with
distinct mass, angular momentum, and temperature. This allows us to probe
several tens of thousand years of the disk's initial evolution, during which we
observe multiple episodes of fragmentation leading to the formation of
gravitationally bound gaseous clumps within spiral arms. These fragments are
torqued inward due to gravitational interaction with the spiral arms on
timescales of 10^3 - 10^4 yr and accreted onto the growing protostar, giving
rise to accretion and luminosity bursts. The burst phenomenon is fueled by
continuing accretion of material falling onto the disk from the collapsing
parent core, which replenishes the mass lost by the disk due to accretion, and
triggers repetitive episodes of disk fragmentation. We show that the burst
phenomenon is expected to occur for a wide spectrum of initial conditions in
primordial pre-stellar cores and speculate on how the intense luminosities
(~10^7 solar luminosities) produced by this mechanism may have important
consequences for the disk evolution and subsequent growth of the protostar.


title: Classical Simulation of Squeezed Vacuum in Optical Waveguide Arrays

abstract:
  We reveal that classical light diffraction in arrays of specially modulated
coupled optical waveguides can simulate the quantum process of two-mode
squeezing in nonlinear media, with the waveguide mode amplitudes corresponding
the signal and idler photon numbers. The whole Fock space is mapped by a set of
arrays, where each array represents the states with a fixed difference between
the signal and idler photon numbers. We demonstrate a critical transition from
photon number growth to Bloch oscillations with periodical revivals of an
arbitrary input state, associated with an increase of the effective phase
mismatch between the pump and the squeezed photons.


title:
Distributed Optimal Rate-Reliability-Lifetime Tradeoff in Wireless
  Sensor Networks

abstract:
  The transmission rate, delivery reliability and network lifetime are three
fundamental but conflicting design objectives in energy-constrained wireless
sensor networks. In this paper, we address the optimal
rate-reliability-lifetime tradeoff with link capacity constraint, reliability
constraint and energy constraint. By introducing the weight parameters, we
combine the objectives at rate, reliability, and lifetime into a single
objective to characterize the tradeoff among them. However, the optimization
formulation of the rate-reliability-reliability tradeoff is neither separable
nor convex. Through a series of transformations, a separable and convex problem
is derived, and an efficient distributed Subgradient Dual Decomposition
algorithm (SDD) is proposed. Numerical examples confirm its convergence. Also,
numerical examples investigate the impact of weight parameters on the rate
utility, reliability utility and network lifetime, which provide a guidance to
properly set the value of weight parameters for a desired performance of WSNs
according to the realistic application's requirements.


title: Quantum logic under semi-classical limit: information loss

abstract:
  We consider quantum computation efficiency from a new perspective. The
efficiency is reduced to its classical counterpart by imposing the
semi-classical limit. We show that this reduction is caused by the fact that
any elementary quantum logic operation (gate) suffers information loss during
transition to its classical analogue. Amount of the information lost is
estimated for any gate from the complete set. The largest loss is obtained for
non-commuting gates that allows to consider them as quantum computational
speed-up resource. Our method allows to quantify advantages of quantum
computation as compared to the classical one by direct analysis of the basic
logic involved. The obtained results are illustrated by application to quantum
discrete Fourier transform and Grover search algorithms.


title: Non-blocking Patricia Tries with Replace Operations

abstract:
  This paper presents a non-blocking Patricia trie implementation for an
asynchronous shared-memory system using Compare&Swap. The trie implements a
linearizable set and supports three update operations: insert adds an element,
delete removes an element and replace replaces one element by another. The
replace operation is interesting because it changes two different locations of
tree atomically. If all update operations modify different parts of the trie,
they run completely concurrently. The implementation also supports a wait-free
find operation, which only reads shared memory and never changes the data
structure. Empirically, we compare our algorithms to some existing set
implementations.


title:
Generation of high-purity higher-order Laguerre-Gauss beams at high
  laser power

abstract:
  We have investigated the generation of highly pure higher-order
Laguerre-Gauss (LG) beams at high laser power of order 100W, the same regime
that will be used by 2nd generation gravitational wave interferometers such as
Advanced LIGO. We report on the generation of a helical type LG33 mode with a
purity of order 97% at a power of 83W, the highest power ever reported in
literature for a higher-order LG mode.


title: Shear and rotation in Chaplygin cosmology

abstract:
  We study the effect of shear and rotation on results previously obtained
dealing with the application of the spherical collapse model (SCM) to
generalized Chaplygin gas (gCg) dominated universes. The system is composed of
baryons and gCg and the collapse is studied for different values of the
parameter $\alpha$ of the gCg. We show that the joint effect of shear and
rotation is that of slowing down the collapse with respect to the simple SCM.
This result is of utmost importance for the so-called unified dark matter
models, since the described slow down in the growth of density perturbation can
solve one of the main problems of the quoted models, namely the instability
described in previous papers [e.g., H. B. Sandvik {\it et al.}, Phys. Rev. D
{\bf 69}, 123524 (2004)] at the linear perturbation level.


title: Disk-Related Bursts and Fades in Young Stars

abstract:
  We present first results from a new, multiyear, time domain survey of young
stars in the North America Nebula complex using the Palomar Transient Factory.
Our survey is providing an unprecedented view of aperiodic variability in young
stars on timescales of days to years. The analyzed sample covers R_PTF =
13.5-18 and spans a range of mid-infrared color, with larger-amplitude optical
variables (exceeding 0.4 mag root-mean-squared) more likely to have
mid-infrared evidence for circumstellar material. This paper characterizes
infrared excess stars with distinct bursts above or fades below a baseline of
lower-level variability, identifying 41 examples. The light curves exhibit a
remarkable diversity of amplitudes, timescales, and morphologies, with a
continuum of behaviors that can not be classified into distinct groups. Among
the bursters, we identify three particularly promising sources that may
represent theoretically predicted short-timescale accretion instabilities.
Finally, we find that fading behavior is approximately twice as common as
bursting behavior on timescales of days to years, although the bursting and
fading duty cycle for individual objects often varies from year to year.


title:
The ATLAS Inner Detector operation, data quality and tracking
  performance

abstract:
  The ATLAS Inner Detector is responsible for particle tracking in ATLAS
experiment at CERN Large Hadron Collider (LHC) and comprises silicon and gas
based detectors. The combination of both silicon and gas based detectors
provides high precision impact parameter and momentum measurement of charged
particles, with high efficiency and small fake rate. The ID has been used to
exploit fully the physics potential of the LHC since the first proton-proton
collisions at 7 TeV were delivered in 2009. The performance of track and vertex
reconstruction is presented, as well as the operation aspects of the Inner
Detector and the data quality during the many months of data taking.


title:
Dynamical Mordell-Lang conjecture for birational polynomial morphisms on
  $\mathbb{A}^2$

abstract:
  We prove the dynamical Mordell-Lang conjecture for birational polynomial
morphisms on $\mathbb{A}^2$.


title:
Statistical Regression to Predict Total Cumulative CPU Usage of
  MapReduce Jobs

abstract:
  Recently, businesses have started using MapReduce as a popular computation
framework for processing large amount of data, such as spam detection, and
different data mining tasks, in both public and private clouds. Two of the
challenging questions in such environments are (1) choosing suitable values for
MapReduce configuration parameters e.g., number of mappers, number of reducers,
and DFS block size, and (2) predicting the amount of resources that a user
should lease from the service provider. Currently, the tasks of both choosing
configuration parameters and estimating required resources are solely the users
responsibilities. In this paper, we present an approach to provision the total
CPU usage in clock cycles of jobs in MapReduce environment. For a MapReduce
job, a profile of total CPU usage in clock cycles is built from the job past
executions with different values of two configuration parameters e.g., number
of mappers, and number of reducers. Then, a polynomial regression is used to
model the relation between these configuration parameters and total CPU usage
in clock cycles of the job. We also briefly study the influence of input data
scaling on measured total CPU usage in clock cycles. This derived model along
with the scaling result can then be used to provision the total CPU usage in
clock cycles of the same jobs with different input data size. We validate the
accuracy of our models using three realistic applications (WordCount, Exim
MainLog parsing, and TeraSort). Results show that the predicted total CPU usage
in clock cycles of generated resource provisioning options are less than 8% of
the measured total CPU usage in clock cycles in our 20-node virtual Hadoop
cluster.


title:
Logarithmic corrections to the free energy from sharp corners with angle
  $2\pi$

abstract:
  We study subleading corrections to the corner free energy in classical
two-dimensional critical systems, focusing on a generic boundary perturbation
by the stress-tensor of the underlying conformal field theory (CFT). In the
particular case of an angle $2\pi$, we find that there is an unusual correction
of the form $L^{-1}\log L$, where $L$ is a typical length scale in the system.
This correction also affects the one-point function of an operator near the
corner. The prefactor can be seen as semi-universal, in the sense that it
depends on a \emph{single} non-universal quantity, the extrapolation length.
Once this ultraviolet cutoff is known, the term is entirely fixed by the
geometry of the system, and the central charge of the CFT. Such a corner
appears for example in the bipartite fidelity of a one-dimensional quantum
system at criticality, which allows for several numerical checks in free
fermions systems. We also present an exact result in the XX and Ising chains
that confirms this analysis. Finally, we consider applications to the time
evolution of the (logarithmic) Loschmidt echo and the entanglement entropy
following a local quantum quench. Due to subtle issues in analytic
continuation, we find that the logarithmic term in imaginary time transforms
into a time-dependent $L^{-2}$ correction for the entanglement entropy, and a
$L^{-2}\log L$ term for the Loschmidt echo.

categories: cond-mat.stat-mech cond-mat.str-el math-ph math.MP


title: The Pan-STARRS 1 Photometric Reference Ladder, Release 12.0

abstract:
  As of 2012 Jan 21, the Pan-STARRS 1 3\pi Survey has observed the 3/4 of the
sky visible from Hawaii with a minimum of 2 and mean of 7.6 observations in 5
filters, g_p1, r_p1, i_p1, z_p1, y_p1. Now at the end of the second year of the
mission, we are in a position to make an initial public release of a portion of
this unprecedented dataset. This article describes the PS1 Photometric Ladder,
Release 12.01 This is the first of a series of data releases to be generated as
the survey coverage increases and the data analysis improves. The Photometric
Ladder has rungs every hour in RA and at 4 intervals in declination. We will
release updates with increased area coverage (more rungs) from the latest
dataset until the PS1 survey and the final re-reduction are completed. The
currently released catalog presents photometry of \approx 1000 objects per
square degree in the rungs of the ladder. Saturation occurs at g_p1, r_p1, i_p1
\approx 13.5; z_p1 \approx 13.0; and y_p1 \approx 12.0. Photometry is provided
for stars down to g_p1, r_p1, i_p1 \approx 19.1 in the AB system. This data
release depends on the rigid `Ubercal' photometric calibration using only the
photometric nights, with systematic uncertainties of (8.0, 7.0, 9.0, 10.7,
12.4) millimags in (g_p1, r_p1, i_p1, z_p1, y_p1). Areas covered only with
lower quality nights are also included, and have been tied to the Ubercal
solution via relative photometry; photometric accuracy of the non-photometric
regions is lower and should be used with caution.


title:
Three-dimensional Keplerian orbit-superposition models of the nucleus of
  M31

abstract:
  We present three-dimensional eccentric disc models of the nucleus of M31,
modelling the disc as a linear combination of thick rings of massless stars
orbiting in the potential of a central black hole. Our models are nonparametric
generalisations of the parametric models of Peiris & Tremaine. The models
reproduce well the observed WFPC2 photometry, the detailed line-of-sight
velocity distributions from STIS observations along P1 and P2, together with
the qualitative features of the OASIS kinematic maps. We confirm Peiris &
Tremaine's finding that nuclear discs aligned with the larger disc of M31 are
strongly ruled out. Our optimal model is inclined at 57 degrees with respect to
the line of sight of M31 and has a position angle of 55 degrees. It has a
central black hole of mass 10^8 solar masses, and, when viewed in three
dimensions, shows a clear enhancement in the density of stars around the black
hole. The distribution of orbit eccentricities in our models is similar to
Peiris & Tremaine's model, but we find significantly different inclination
distributions, which might provide valuable clues to the origin of the disc.


title: Low-Complexity Adaptive Set-Membership Reduced-rank LCMV Beamforming

abstract:
  This paper proposes a new adaptive algorithm for the implementation of the
linearly constrained minimum variance (LCMV) beamformer. The proposed algorithm
utilizes the set-membership filtering (SMF) framework and the reduced-rank
joint iterative optimization (JIO) scheme. We develop a stochastic gradient
(SG) based algorithm for the beamformer design. An effective time-varying bound
is employed in the proposed method to adjust the step sizes, avoid the
misadjustment and the risk of overbounding or underbounding. Simulations are
performed to show the improved performance of the proposed algorithm in
comparison with existing full-rank and reduced-rank methods.


title:
An investigation of the transfer dynamics of quantum teleportation by
  weak measurement statistics

abstract:
  We explore the mechanism of quantum teleportation by analyzing the weak
measurement statistics post-selected by the result of the Bell measurement for
the joint system composed of the input A and the spatially separated output B.
It is shown that the weak measurement statistics observed before the Bell
measurement includes correlations which relate every physical property in the
input A to a corresponding physical property in the output B. The Bell
measurement thus identifies the accidental relation between A and B already
present in the quantum fluctuations of the input state. Significantly, this
relation applies to all physical properties equally, and is completely
independent of the input state. Teleportation therefore copies all physical
properties of input system A to output system B, irrespective of whether the
input state is an eigenstate of the property or not.


title:
Adaptive Low-rank Constrained Constant Modulus Beamforming Algorithms
  using Joint Iterative Optimization of Parameters

abstract:
  This paper proposes a robust reduced-rank scheme for adaptive beamforming
based on joint iterative optimization (JIO) of adaptive filters. The scheme
provides an efficient way to deal with filters with large number of elements.
It consists of a bank of full-rank adaptive filters that forms a transformation
matrix and an adaptive reduced-rank filter that operates at the output of the
bank of filters. The transformation matrix projects the received vector onto a
low-dimension vector, which is processed by the reduced-rank filter to estimate
the desired signal. The expressions of the transformation matrix and the
reduced-rank weight vector are derived according to the constrained constant
modulus (CCM) criterion. Two novel low-complexity adaptive algorithms are
devised for the implementation of the proposed scheme with respect to different
constrained conditions. Simulations are performed to show superior performance
of the proposed algorithms in comparison with the existing methods.


title: Stationary Probability Vectors of Higher-order Markov Chains

abstract:
  We consider the higher-order Markov Chain, and characterize the second order
Markov chains admitting every probability distribution vector as a stationary
vector. The result is used to construct Markov chains of higher-order with the
same property. We also study conditions under which the set of stationary
vectors of the Markov chain has a certain affine dimension.


title:
Comparing the distribution of the electronic gap of an organic molecule
  with its photoluminescence spectrum

abstract:
  The electronic gap structure the organic molecule
N,N'-diphenyl-N,N'-bis(3-methylphenyl)-(1,1'-biphenyl)-4,4'-diamine, or TPD,
has been studied by means of a Scanning Tunneling Microscope (STM) operated
under ambient conditions, and by Photoluminescence (PL) analysis. Thousands of
current-voltage characteristics have been measured at different spots of the
sample showing the typical behavior of a semiconductor. The analysis of the
curves allows us to construct a gap distribution histogram which reassembles
the PL spectrum of this compound. Our analysis shows that in the TPD films most
of the observed distribution of the gap comes mainly from an uncertainty in the
position of the LUMO levels of the molecular compound as would be expected from
theory. This analysis demonstrates that STM can give relevant information, not
only related to the expected value of a semiconductor gap, but also on its
distribution which affects its physical properties such as the case of the PL
and absorption distributions as here is reported.


title: Dynamics of Repulsion Processes

abstract:
  We study dynamical behaviors of one-dimensional stochastic lattice gases with
repulsive interactions whose span can be arbitrary large. We endow the system
with a zero-temperature dynamics, so that the hops to empty sites which would
have led to the increase of energy are forbidden. We assume that the strength
of interactions sufficiently quickly decreases with the separation between the
particles, so that interactions can be treated in a lexicographic order. For
such repulsion processes with symmetric nearest-neighbor hopping we
analytically determine the density-dependent diffusion coefficient. We also
compute the variance of the displacement of a tagged particle.


title: Evolution of accreting white dwarfs; some of them continue to grow

abstract:
  Novae are cataclysmic variable binary systems in which a white dwarf primary
is accreting material from a low mass companion. The importance of this
accretion takes on added significance if the WD can increase its mass to reach
the Chandrasekhar limit thus exploding as a Type Ia supernova. In this study we
accrete material of Solar composition onto carbon-oxygen white dwarfs of 0.70,
1.00 and 1.35 Msun with accretion rates from 1.6e-10 to 1.6e-6 Msun per yr. We
have utilized the MESA stellar evolution code for our modeling and evolve them
for many nova cycles or, in some cases, evolution to a red giant stage.
Differing behaviors occur as a function of both the WD mass and the accretion
rate. For the lower WD masses, the models undergo recurrent hydrogen flashes at
low accretion rates; for higher accretion rates, steady-burning of hydrogen
occurs and eventually gives way to recurrent hydrogen flashes. At the highest
accretion rates, these models go through a steady-burning phase but eventually
transition into red giants. For the highest white dwarf mass recurrent hydrogen
flashes occur at lower accretion rates but for higher rates the models exhibit
steady-burning interspersed with helium flashes. We find that for all our
models that undergo recurrent hydrogen flashes, as well as the steady-burning
models that exhibit helium flashes, the mass of the WD continues to grow toward
the Chandrasekhar limit. These results suggest that the accretion of Solar
abundance material onto carbon-oxygen white dwarfs in cataclysmic variable
systems, the single degenerate scenario, is a viable channel for progenitors of
Type Ia supernova explosions.


title:
A Survey of Routing Techniques for Mobile Collaborative Virtual
  Environment Applications

abstract:
  Due to the rapidly increasing usage of personal mobile devices and the need
of executing CVE applications in environments that have no previous network
infrastructure, Mobile Collaborative Virtual Environments (MCVEs) systems will
become ubiquitous in the future. In such systems, we enable users to act and
interact in three dimensional world shared through their mobile devices in an
ad-hoc network (MANET). A handful of interesting MCVE applications have been
developed in a variety of domains, ranging from multiplayer games to virtual
cities, virtual shopping malls, and various training simulations (i.e.
military, emergency preparedness, Education, Medicine, etc.). The designers of
such applications rely solely on network overhead, latency, limited bandwidth,
and mobile device limitation. In this survey we present a number of ways to
classify and analysis routing techniques that have been applied in Mobile
Collaborative Environment Applications.


title: Optimal Control of Two-Player Systems with Output Feedback

abstract:
  In this article, we consider a fundamental decentralized optimal control
problem, which we call the two-player problem. Two subsystems are
interconnected in a nested information pattern, and output feedback controllers
must be designed for each subsystem. Several special cases of this architecture
have previously been solved, such as the state-feedback case or the case where
the dynamics of both systems are decoupled. In this paper, we present a
detailed solution to the general case. The structure of the optimal
decentralized controller is reminiscent of that of the optimal centralized
controller; each player must estimate the state of the system given their
available information and apply static control policies to these estimates to
compute the optimal controller. The previously solved cases benefit from a
separation between estimation and control which allows one to compute the
control and estimation gains separately. This feature is not present in
general, and some of the gains must be solved for simultaneously. We show that
computing the required coupled estimation and control gains amounts to solving
a small system of linear equations.


title: From propositional to first-order monitoring

abstract:
  The main purpose of this paper is to introduce a first-order temporal logic,
LTLFO, and a corresponding monitor construction based on a new type of
automaton, called spawning automaton.
  Specifically, we show that monitoring a specification in LTLFO boils down to
an undecidable decision problem. The proof of this result revolves around
specific ideas on what we consider a "proper" monitor. As these ideas are
general, we outline them first in the setting of standard LTL, before lifting
them to the setting of first-order logic and LTLFO. Although due to the above
result one cannot hope to obtain a complete monitor for LTLFO, we prove the
soundness of our automata-based construction and give experimental results from
an implementation. These seem to substantiate our hypothesis that the
automata-based construction leads to efficient runtime monitors whose size does
not grow with increasing trace lengths (as is often observed in similar
approaches). However, we also discuss formulae for which growth is unavoidable,
irrespective of the chosen monitoring approach.


title: The inverse Galois problem for PSL_2(F_p)

abstract:
  We show that the simple group PSL_2(F_p) occurs as the Galois group of an
extension of the rationals for all primes p>3. We obtain our Galois extensions
by studying the Galois action on the second etale cohomology groups of a
specific elliptic surface.


title: Compatibility for Probabilistic Theories

abstract:
  We define an index of compatibility for a probabilistic theory (PT). Quantum
mechanics with index 0 and classical probability theory with index 1 are at the
two extremes. In this way, quantum mechanics is at least as incompatible as any
PT. We consider a PT called a concrete quantum logic that may have
compatibility index strictly between 0 and 1, but we have not been able to show
this yet. Finally, we show that observables in a PT can be represented by
positive, vector-valued measures.


title:
Hilbert function, generalized Poincar\'e series and topology of plane
  valuations

abstract:
  To a multi-index filtration (say, on the ring of germs of functions on a germ
of a complex analytic variety) one associates several invariants: the Hilbert
function, the Poincar\'e series, the generalized Poincar\'e series, and the
generalized semigroup Poincar\'e series. The Hilbert function and the
generalized Poincar\'e series are equivalent in the sense that each of them
determines the other one. We show that for a filtration on the ring of germs of
holomorphic functions in two variables defined by a collection of plane
valuations both of them are equivalent to the generalized semigroup Poincar\'e
series and determine the topology of the collection of valuations, i.e. the
topology of its minimal resolution.


title: Transport Measurement of Landau level Gaps in Bilayer Graphene

abstract:
  Landau level gaps are important parameters for understanding electronic
interactions and symmetry-broken processes in bilayer graphene (BLG). Here we
present transport spectroscopy measurements of LL gaps in double-gated
suspended BLG with high mobilities in the quantum Hall regime. By using bias as
a spectroscopic tool, we measure the gap {\Delta} for the quantum Hall (QH)
state at filling factor {\nu}={\pm}4 and -2. The single-particle gap for
{\nu}=4 scales linearly with magnetic field B and is independent of the
out-of-plane electric field E. For the symmetry-broken {\nu}=-2 state, the
measured values of gap are 1.1 meV/T and 0.17 meV/T for singly-gated geometry
and dual-gated geometry at E=0, respectively. The difference between the two
values arises from the E-dependence of the gap, suggesting that the {\nu}=-2
state is layer polarized. Our studies provide the first measurements of the
gaps of the broken symmetry QH states in BLG with well-controlled E, and
establish a robust method that can be implemented for studying similar states
in other layered materials.


title: A Class of Incomplete Character Sums

abstract:
  Using $\ell$-adic cohomology of tensor inductions of lisse $\overline{\mathbb
Q}_\ell$-sheaves, we study a class of incomplete character sums.


title:
Optimal Power Allocation for Energy Harvesting and Power Grid Coexisting
  Wireless Communication Systems

abstract:
  This paper considers the power allocation of a single-link wireless
communication with joint energy harvesting and grid power supply. We formulate
the problem as minimizing the grid power consumption with random energy and
data arrival, and analyze the structure of the optimal power allocation policy
in some special cases. For the case that all the packets are arrived before
transmission, it is a dual problem of throughput maximization, and the optimal
solution is found by the two-stage water filling (WF) policy, which allocates
the harvested energy in the first stage, and then allocates the power grid
energy in the second stage. For the random data arrival case, we first assume
grid energy or harvested energy supply only, and then combine the results to
obtain the optimal structure of the coexisting system. Specifically, the
reverse multi-stage WF policy is proposed to achieve the optimal power
allocation when the battery capacity is infinite. Finally, some heuristic
online schemes are proposed, of which the performance is evaluated by numerical
simulations.


title: Structure and enumeration of (3+1)-free posets

abstract:
  A poset is (3+1)-free if it does not contain the disjoint union of chains of
length 3 and 1 as an induced subposet. These posets play a central role in the
(3+1)-free conjecture of Stanley and Stembridge. Lewis and Zhang have
enumerated (3+1)-free posets in the graded case by decomposing them into
bipartite graphs, but until now the general enumeration problem has remained
open. We give a finer decomposition into bipartite graphs which applies to all
(3+1)-free posets and obtain generating functions which count (3+1)-free posets
with labelled or unlabelled vertices. Using this decomposition, we obtain a
decomposition of the automorphism group and asymptotics for the number of
(3+1)-free posets.


title: Size and disk-like shape of the broad-line region of ESO399-IG20

abstract:
  We present photometric reverberation mapping of the narrow-line Seyfert 1
galaxy ESO399-IG20 performed with the robotic 15 cm telescope VYSOS-6 at the
Cerro Armazones Observatory. Through the combination of broad- and narrow-band
filters we determine the size of the broad-line emitting region (BLR) by
measuring the time delay between the variability of the continuum and the
H_alpha emission line. We use the flux variation gradient method to separate
the host galaxy contribution from that of the active galactic nucleus (AGN),
and to calculate the 5100A luminosity L_AGN of the AGN. Both measurements
permit us to derive the position of ESO399-IG20 in the BLR size -- AGN
luminosity R_BLR-L_AGN^0.5 diagram. We infer the basic geometry of the BLR
through modelling of the light curves. The pronounced sharp variability
patterns in both the continuum and the emission line light curves allow us to
reject a spherical BLR geometry. The light curves are best fitted by a
disk-like BLR seen nearly face-on with an inclination angle of 6+/-3 degrees
and with an extension from 16 to 20 light days.


title: Metric subregularity of the convex subdifferential in Banach spaces

abstract:
  In [2] we characterized in terms of a quadratic growth condition various
metric regularity properties of the subdifferential of a lower semicontinuous
convex function acting in a Hilbert space. Motivated by some recent results in
[16] where the authors extend to Banach spaces the characterization of the
strong regularity, we extend as well the characterizations for the metric
subregularity and the strong subregularity given in [2] to Banach spaces. We
also notice that at least one implication in these characterizations remains
valid for the limiting subdifferential without assuming convexity of the
function in Asplund spaces. Additionally, we show some direct implications of
the characterizations for the convergence of the proximal point algorithm, and
we provide some characterizations of the metric subregularity and calmness
properties of solution maps to parametric generalized equations.


title: Controlled random walk with a target site

abstract:
  We consider a simple random walk W_i in 1 or 2 dimensions, in which the
walker may choose to stand still for a limited time. The time horizon is n, the
maximum consecutive time steps which can be spent standing still is m_n and the
goal is to maximize P(W_n=0). We show that for dimension 1, if m_n grows faster
than (\log n)^{2+\gamma} for some \gamma>0, there is a strategy for each n such
that P(W_n = 0) approaches 1. For dimension 2, if m_n grows faster than a
positive power of n then there are strategies keeping P(W_n=0) bounded away
from 0.


title: A Randomized Approach to the Capacity of Finite-State Channels

abstract:
  Inspired by the ideas from the field of stochastic approximation, we propose
a randomized algorithm to compute the capacity of a finite-state channel with a
Markovian input. When the mutual information rate of the channel is concave
with respect to the chosen parameterization, we show that the proposed
algorithm will almost surely converge to the capacity of the channel and derive
the rate of convergence. We also discuss the convergence behavior of the
algorithm without the concavity assumption.


title:
Dynamic dissipative cooling of a mechanical oscillator in
  strong-coupling optomechanics

abstract:
  Cooling of mesoscopic mechanical resonators represents a primary concern in
cavity optomechanics. Here in the strong optomechanical coupling regime, we
propose to dynamically control the cavity dissipation, which is able to
significantly accelerate the cooling process while strongly suppressing the
heating noise. Furthermore, the dynamic control is capable of overcoming
quantum backaction and reducing the cooling limit by several orders of
magnitude. The dynamic dissipation control provides new insights for tailoring
the optomechanical interaction and offers the prospect of exploring macroscopic
quantum physics.


title:
Science and Technology Progress at the Sydney University Stellar
  Interferometer

abstract:
  This paper presents an overview of recent progress at the Sydney University
Stellar Interferometer (SUSI). Development of the third-generation PAVO beam
combiner has continued. The MUSCA beam combiner for high-precision differential
astrometry using visible light phase referencing is under active development
and will be the subject of a separate paper. Because SUSI was one of the
pioneering interferometric instruments, some of its original systems are old
and have become difficult to maintain. We are undertaking a campaign of
modernization of systems: (1) an upgrade of the Optical Path Length Compensator
IR laser metrology counter electronics from a custom system which uses an
obsolete single-board computer to a modern one based on an FPGA interfaced to a
Linux computer - in addition to improving maintainability, this upgrade should
allow smoother motion and higher carriage speeds; (2) the replacement of the
aged single-board computer local controllers for the siderostats and the
longitudinal dispersion compensator has been completed; (3) the large beam
reducing telescope has been replaced with a pair of smaller units with separate
accessible foci. Examples of scientific results are also included.


title: Nuclear symmetry energy from the Fermi-energy difference in nuclei

abstract:
  The neutron-proton Fermi-energy difference and the correlation to nucleon
separation energies for some magic nuclei are investigated with the Skyrme
energy density functionals and nuclear masses, with which the nuclear symmetry
energy at sub-saturation densities is constrained from 54 Skyrme parameter
sets. The extracted nuclear symmetry energy at sub-saturation density of 0.11
fm$^{-3}$ is 26.2 $\pm$ 1.0 MeV with 1.5 $\sigma$ uncertainty. By further
combining the neutron-skin thickness of 208Pb, ten Skyrme forces with slope
parameter of 28<L<65 are selected for the description of the symmetry energy
around saturation densities.


title: Computing Traversal Times on Dynamic Markovian Paths

abstract:
  In source routing, a complete path is chosen for a packet to travel from
source to destination. While computing the time to traverse such a path may be
straightforward in a fixed, static graph, doing so becomes much more
challenging in dynamic graphs, in which the state of an edge in one time slot
(i.e., its presence or absence) is random, and may depend on its state in the
previous time step. The traversal time is due to both time spent waiting for
edges to appear and time spent crossing them once they become available. We
compute the expected traversal time (ETT) for a dynamic path in a number of
special cases of stochastic edge dynamics models, and for three edge failure
models, culminating in a surprisingly challenging yet realistic setting in
which the initial configuration of edge states for the entire path is known. We
show that the ETT for this "initial configuration" setting can be computed in
quadratic time, by an algorithm based on probability generating functions. We
also give several linear-time upper and lower bounds on the ETT.


title: A biologically-motivated system is poised at a critical state

abstract:
  We explore the critical behaviors in the dynamics of information transfer of
a biologically-inspired system by an individual-based model. "Quorum response",
a type of social interaction which has been recognized taxonomically in animal
groups, is applied as the sole interaction rule among particles. We assume a
truncated Gaussian distribution to quantitatively depict the distribution of
the particles' vigilance level and find that by fine-tuning the parameters of
the mean and the standard deviation of the Gaussian distribution, the system is
poised at a critical state in the dynamics of information transfer. We present
the phase diagrams to exhibit that the phase line divides the parameter space
into a super-critical and a sub-critical zone, in which the dynamics of
information transfer varies largely.


title: The Gravitational Deflection of Light in F(R)-gravity

abstract:
  The fact that the gravitation could deflect the light trajectory has been
confirmed by a large number of observation data, that is consistent with the
result calculated by Einstein's gravity. F(R)-gravity is the modification of
Einstein's gravity. According to the field equations obtained by the action of
the f(R) form, we get a similar Schwarzschild metric. According to the
condition that four-dimension momenta of the photon return to zero and that of
conservation of covariant momenta, we obtain the equation of motion of the
photon in a specific form of f (R)-gravity. We solve the equation to get the
gravitational deflection angle of light that grazes the surface of sun and the
calculation result is consistent with the experimental observation data.


title: Measuring Gravitational Redshifts in Galaxy Clusters

abstract:
  Wojtak {\it et al} have stacked 7,800 clusters from the SDSS survey in
redshift space. They find a small net blue-shift for the cluster galaxies
relative to the brightest cluster galaxies, which agrees quite well with the
gravitational redshift from GR. Zhao {\it et al.} have pointed out that, in
addition to the gravitational redshift, one would expect to see transverse
Doppler (TD) redshifts, and that these two effects are generally of the same
order. Here we show that there are other corrections that are also of the same
order of magnitude. The fact that we observe galaxies on our past light cone
results in a bias such that more of the galaxies observed are moving away from
us in the frame of the cluster than are moving towards us. This causes the
observed average redshift to be $\langle \delta z \rangle = -\langle \Phi
\rangle + \langle \beta^2 \rangle / 2 + \langle \beta_x^2 \rangle$, with
$\beta_x$ is the line of sight velocity. That is if we average over galaxies
with equal weight. If the galaxies in each cluster are weighted by their
fluence, or equivalently if we do not resolve the moving sources, and make an
average of the mean redshift giving equal weight per photon, the observed
redshift is then opposite to the usual transverse Doppler effect. In the WHH
experiment, the weighting is a step-function because of the flux-limit for
inclusion in the spectroscopic sample and the result is different again, and
depends on the details of the luminosity function and the SEDs of the galaxies.
Including these effects substantially modifies the blue-shift profile. We show
that in-fall and out-flow have very small effect over the relevant range of
impact parameters but become important on larger scales.


title: Topic Discovery through Data Dependent and Random Projections

abstract:
  We present algorithms for topic modeling based on the geometry of
cross-document word-frequency patterns. This perspective gains significance
under the so called separability condition. This is a condition on existence of
novel-words that are unique to each topic. We present a suite of highly
efficient algorithms based on data-dependent and random projections of
word-frequency patterns to identify novel words and associated topics. We will
also discuss the statistical guarantees of the data-dependent projections
method based on two mild assumptions on the prior density of topic document
matrix. Our key insight here is that the maximum and minimum values of
cross-document frequency patterns projected along any direction are associated
with novel words. While our sample complexity bounds for topic recovery are
similar to the state-of-art, the computational complexity of our random
projection scheme scales linearly with the number of documents and the number
of words per document. We present several experiments on synthetic and
real-world datasets to demonstrate qualitative and quantitative merits of our
scheme.


title: Integer Space-Time Block Codes for Practical MIMO Systems

abstract:
  Full-rate space-time block codes (STBCs) achieve high spectral-efficiency by
transmitting linear combinations of information symbols through every transmit
antenna. However, the coefficients used for the linear combinations, if not
chosen carefully, results in ({\em i}) large number of processor bits for the
encoder and ({\em ii}) high peak-to-average power ratio (PAPR) values. In this
work, we propose a new class of full-rate STBCs called Integer STBCs (ICs) for
multiple-input multiple-output (MIMO) fading channels. A unique property of ICs
is the presence of integer coefficients in the code structure which enables
reduced numbers of processor bits for the encoder and lower PAPR values. We
show that the reduction in the number of processor bits is significant for
small MIMO channels, while the reduction in the PAPR is significant for large
MIMO channels. We also highlight the advantages of the proposed codes in
comparison with the well known full-rate algebraic STBCs.


title: Loss and Recovery of Genetic Diversity in Adapting Populations of HIV

abstract:
  The evolution of drug resistance in HIV occurs by the fixation of specific,
well-known, drug-resistance mutations, but the underlying population genetic
processes are not well understood. By analyzing within-patient longitudinal
sequence data, we make four observations that shed a light on the underlying
processes and allow us infer the short-term effective population size of the
viral population in a patient. Our first observation is that the evolution of
drug resistance usually occurs by the fixation of one drug-resistance mutation
at a time, as opposed to several changes simultaneously. Second, we find that
these fixation events are accompanied by a reduction in genetic diversity in
the region surrounding the fixed drug-resistance mutation, due to the
hitchhiking effect. Third, we observe that the fixation of drug-resistance
mutations involves both hard and soft selective sweeps. In a hard sweep, a
resistance mutation arises in a single viral particle and drives all linked
mutations with it when it spreads in the viral population, which dramatically
reduces genetic diversity. On the other hand, in a soft sweep, a resistance
mutation occurs multiple times on different genetic backgrounds, and the
reduction of diversity is weak. Using the frequency of occurrence of hard and
soft sweeps we estimate the effective population size of HIV to be 1.5 * 10^5
(95% confidence interval 0.8 * 10^5, 4.8 * 10^5). This number is much lower
than the actual number of infected cells, but much larger than previous
population size estimates based on synonymous diversity. We propose several
explanations for the observed discrepancies. Finally, our fourth observation is
that genetic diversity at non-synonymous sites recovers to its pre-fixation
value within 18 months, whereas diversity at synonymous sites remains depressed
after this time period.


title:
Asymptotic stability of the stationary solution for a
  parabolic-hyperbolic free boundary problem modeling tumor growth

abstract:
  This paper studies asymptotic behavior of solutions of a free boundary
problem modeling the growth of tumors with two species of cells: proliferating
cells and quiecent cells. In previous literatures it has been proved that this
problem has a unique stationary solution which is asymptotically stable in the
limit case $\varepsilon=0$. In this paper we consider the more realistic case
$0<\varepsilon<<1$. In this case, after suitable reduction the model takes the
form of a coupled system of a parabolic equation and a hyperbolic system, so
that it is more difficult than the limit case $\varepsilon=0$. By using some
unknown variable transform as well as the similarity transform technique
developed in our previous work, we prove that the stationary solution is also
asymptotically stable in the case $0<\varepsilon<<1$.


title: Access vs. Bandwidth in Codes for Storage

abstract:
  Maximum distance separable (MDS) codes are widely used in storage systems to
protect against disk (node) failures. A node is said to have capacity $l$ over
some field $\mathbb{F}$, if it can store that amount of symbols of the field.
An $(n,k,l)$ MDS code uses $n$ nodes of capacity $l$ to store $k$ information
nodes. The MDS property guarantees the resiliency to any $n-k$ node failures.
An \emph{optimal bandwidth} (resp. \emph{optimal access}) MDS code communicates
(resp. accesses) the minimum amount of data during the repair process of a
single failed node. It was shown that this amount equals a fraction of
$1/(n-k)$ of data stored in each node. In previous optimal bandwidth
constructions, $l$ scaled polynomially with $k$ in codes with asymptotic rate
$<1$. Moreover, in constructions with a constant number of parities, i.e. rate
approaches 1, $l$ is scaled exponentially w.r.t. $k$. In this paper, we focus
on the later case of constant number of parities $n-k=r$, and ask the following
question: Given the capacity of a node $l$ what is the largest number of
information disks $k$ in an optimal bandwidth (resp. access) $(k+r,k,l)$ MDS
code. We give an upper bound for the general case, and two tight bounds in the
special cases of two important families of codes. Moreover, the bounds show
that in some cases optimal-bandwidth code has larger $k$ than optimal-access
code, and therefore these two measures are not equivalent.


title:
The Scattering amplitude for one parameter family of shape invariant
  potentials related to Xm Jacobi polynomials

abstract:
  We consider the recently discovered, one parameter family of exactly solvable
shape invariant potentials which are isospectral to the generalized
P\"oschl-Teller potential. By explicitly considering the asymptotic behaviour
of the Xm Jacobi polynomials associated with this system (m = 1, 2, 3, ...),
the scattering amplitude for the one parameter family of potentials is
calculated explicitly.


title: A recognition principle for the existence of descent data

abstract:
  Suppose $R\rightarrow S$ is a faithfully flat ring map. The theory of twisted
forms lets one compute, given an $R$-module $M$, how many isomorphism classes
of $R$-modules $M^{\prime}$ satisfy $S\otimes_R M\cong S\otimes_R M^{\prime}$.
This is really a uniqueness problem. But this theory does not help one to solve
the corresponding existence problem: given an $S$-module $N$, does there exists
{\em some} $R$-module $M$ such that $S\otimes_R M\cong N$? In this paper we
work out (as a special case of a general theorem about existence of coalgebra
structures over a comonad) a criterion for the existence of such an $R$-module
$M$, under some reasonable hypotheses on the map $R\rightarrow S$.


title: Homotopy colimits in stable representation theory

abstract:
  We study the problem of existence and uniqueness of homotopy colimits in
stable representation theory, where one typically does not have model category
structures to guarantee that these homotopy colimits exist or have good
properties. We get both negative results (homotopy cofibers fail to exist if
there exist any objects of positive finite projective dimension!) and positive
results (reasonable conditions under which homotopy colimits exist and are
unique, even when model category structures fail to exist). Along the way, we
obtain relative-homological-algebraic generalizations of classical theorems of
Hilton-Rees and Oort. We describe some applications to Waldhausen $K$-theory
and to deformation-theoretic methods in stable representation theory.


title:
Relative homological algebra, Waldhausen $K$-theory, and quasi-Frobenius
  conditions

abstract:
  We study the question of the existence of a Waldhausen category on any
(relative) abelian category in which the contractible objects are the
(relatively) projective objects. The associated $K$-theory groups are "stable
algebraic $G$-theory," which in degree zero form a certain stable
representation group. We prove both some existence and nonexistence results
about such Waldhausen category structures, including the fact that, while it
was known that the category of $R$-modules admits a model category structure if
$R$ is quasi-Frobenius, that assumption is required even to get a Waldhausen
category structure with cylinder functor---i.e., Waldhausen categories do not
offer a more general framework than model categories for studying stable
representation theory of rings. We study multiplicative structures on these
Waldhausen categories, and we relate stable algebraic $G$-theory to algebraic
$K$-theory and we compute stable algebraic $G$-theory for finite-dimensional
quasi-Frobenius nilpotent extensions of finite fields. Finally, we show that
the connective stable $G$-theory spectrum of $\mathbb{F}_{p^n}[x]/x^{p^n}$ is a
complex oriented ring spectrum, partially answering a question of J. Morava
about complex orientations on algebraic $K$-theory spectra.


title: All-analytical semiclassical theory of spaser for plasmonic nanocavity

abstract:
  Experimental approaches to manipulate light-matter interaction at nanoscale
have quickly advanced in recent years, leading to the demonstration of spaser
(surface plasmon amplification by stimulated emission of radiation) in
plasmonic nanocavities. Yet, a well-understood analytical theory to better
understand and quantitatively explain the connotation of spaser system is
urgently needed. Here we develop an all-analytical semiclassical theory to
investigate the energy exchange between active materials and fields and the
spaser performance in a plasmonic nanocavity. The theory can be commonly used
in understanding and designing all novel microlaser, nanolaser, and spaser
systems.


title: A characterization of triangulations of closed surfaces

abstract:
  In this paper we prove that a finite triangulation of a connected closed
surface is completely determined by its intersection matrix. The
\emph{intersection matrix} of a finite triangulation, $K$, is defined as
$M_{K}=(dim(s_{i}\cap s_{j}))_{0\leq i,0\leq j}^{n-1}$, where $K_{2}=\{s_{0},
\ldots s_{n-1}\}$ is a labelling of the triangles of $K$.


title: Projective Equivalences of k-neighbourly Polytopes

abstract:
  We prove the following theorem, which is related to McMullen's problem on
projective transformations of polytopes; let $2\leq k\leq
\lfloor{\frac{d}{2}}\rfloor$ and $\nu{(d, k)}$ be the largest number such that
any set of $\nu{(d,k)}$ points lying in general position in $\mathbb{R}^d$ can
be mapped by a permissible projective transformation onto the vertices of a
k-neighborly polytope, then $d + \left\lceil{\frac{d}{k}}\right\rceil +1 \leq
\nu{(d, k)} < 2d-k +1$.


title:
CP violation in $B^{\pm} \rightarrow \pi^{\pm}\pi^{+}\pi^{-}$ in the
  region with low invariant mass of one $\pi^{+}\pi^{-}$ pair

abstract:
  Recently, the large CP asymmetries in $B^\pm\to\pi^\pm\pi^+\pi^-$ decays were
found by the LHCb Collaboration to localize in the region $m_{\pi^+\pi^-}^2<0.4
\text{GeV}^2$. We find such large localized CP asymmetries may be due to the
interference between a light scalar and $\rho^0(770)$ intermediate resonances.
Consequently, we argue that the distribution of CP asymmetries in the Dalitz
plots of three-body B decays could be very helpful for identifying the presence
of the scalar resonance.


title:
Non-unique conical and non-conical tangents to rectifiable stationary
  varifolds in R^4

abstract:
  We construct a rectifiable stationary 2-varifold in R^4 with non-conical, and
hence non-unique, tangent varifold at a point. This answers a question of L.
Simon (Lectures on geometric measure theory, 1983, p. 243) and provides a new
example for a related question of W.K. Allard (On the first variation of a
varifold, Ann. of Math., 1972, p. 460).
  There is also a (rectifiable) stationary 2-varifold in R^4 that has more than
one conical tangent varifold at a point.
  keywords: stationary varifold, varifold tangent, tangent cone, non-unique,
non-conical, minimal surface, regularity


title:
Zero-field Hall effect in chiral p-wave superconductors near
  Kosterlitz-Thouless transition

abstract:
  We discuss Hall effect and power dissipation in chiral p-wave superconductors
near Kosterlitz-Thouless transition in the absence of applied magnetic field.
In bound pair dynamics picture, nonzero Hall conductivity emerges when
vortex-antivortex bound pair polarization has a component transverse to the
direction of external perturbation. Such effect arises from the broken time
reversal symmetry nature of a chiral p-wave superconducting state and does not
require an applied magnetic field. A frequency-dependent matrix dielectric
function $\epsilon(\omega)$ is derived to describe the screening effect due to
the pair polarization. Quantities related to the Hall conductivity and power
dissipation, denoted as $\epsilon^{-1}_\perp$ and $\Im
(-\epsilon^{-1}_\parallel)$, are investigated in frequency and temperature
domain. The imaginary part of the former can show peak structure and sign
reversal as a function of frequency close to transition temperature, as well as
in the temperature domain at various fixed frequencies. The latter shows peak
structure near transition temperature. These features are attributed to
pair-size-dependent longitudinal and transverse response function of bound
pairs. Consequences due to free vortex dynamics and the resulting total
conductivity tensor $\sigma$ are also discussed.


title: Minimum-violation LTL Planning with Conflicting Specifications

abstract:
  We consider the problem of automatic generation of control strategies for
robotic vehicles given a set of high-level mission specifications, such as
"Vehicle x must eventually visit a target region and then return to a base,"
"Regions A and B must be periodically surveyed," or "None of the vehicles can
enter an unsafe region." We focus on instances when all of the given
specifications cannot be reached simultaneously due to their incompatibility
and/or environmental constraints. We aim to find the least-violating control
strategy while considering different priorities of satisfying different parts
of the mission. Formally, we consider the missions given in the form of linear
temporal logic formulas, each of which is assigned a reward that is earned when
the formula is satisfied. Leveraging ideas from the automata-based model
checking, we propose an algorithm for finding an optimal control strategy that
maximizes the sum of rewards earned if this control strategy is applied. We
demonstrate the proposed algorithm on an illustrative case study.


title:
Self-induced THz-waves transmissivity of waveguides with finite-length
  layered superconductors

abstract:
  We predict and study theoretically a new nonlinear electromagnetic phenomenon
in a sample of layered superconductor of finite length placed in a waveguide
with ideal walls. Two geometries are considered here: when the superconducting
layers are parallel or perpendicular to the waveguide axis. We show that the
transmittance of the superconductor slab can vary over a wide range, from
nearly zero to one, when changing the amplitude of the incident wave. Thus, one
can induce the total transmission or reflection of the incident wave by just
changing its amplitude. Moreover, the dependence of the superconductor
transmittance on the incident wave amplitude has a hysteretic behavior with
jumps. The considered phenomenon of self-induced transparency can be observed
even at small amplitudes, if the wave frequency $\omega$ is close to the cutoff
frequency for linear Josephson plasma waves.


title:
Universality of one-dimensional Fermi systems, I. Response functions and
  critical exponents

abstract:
  The critical behavior of one-dimensional interacting Fermi systems is
expected to display universality features, called Luttinger liquid behavior.
Critical exponents and certain thermodynamic quantities are expected to be
related among each others by model-independent formulas. We establish such
relations, the proof of which has represented a challenging mathematical
problem, for a general model of spinning fermions on a one dimensional lattice;
interactions are short ranged and satisfy a positivity condition which makes
the model critical at zero temperature. Proofs are reported in two papers: in
the present one, we demonstrate that the zero temperature response functions in
the thermodynamic limit are Borel summable and have anomalous power-law decay
with multiplicative logarithmic corrections. Critical exponents are expressed
in terms of convergent expansions and depend on all the model details. All
results are valid for the special case of the Hubbard model.


title: Phase space formalism for quantum estimation of Gaussian states

abstract:
  We formulate, with full generality, the asymptotic estimation theory for
Gaussian states in terms of their first and second moments. By expressing the
quantum Fisher information (QFI) and the elusive symmetric logarithmic
derivative (SLD) in terms of the state's moments (and their derivatives) we are
able to obtain the noncommutative extension of the well known expression for
the Fisher information of a Gaussian probability distribution. Focusing on
models with fixed first moments and identical Williamson 'diagonal' states
--which include pure state models--, we obtain their SLD and QFI, and elucidate
what features of the Wigner function are fundamentally accessible, and at what
rates. In addition, we find the optimal homodyne detection scheme for all such
models, and show that for pure state models they attain the fundamental limit.


title:
Numerical construction of a low-energy effective Hamiltonian in a
  self-consistent Bogoliubov-de Gennes approach of superconductivity

abstract:
  We propose a fast and efficient approach for solving the Bogoliubov-de Gennes
(BdG) equations in superconductivity, with a numerical matrix-size reduction
procedure proposed by Sakurai and Sugiura [J. Comput. Appl. Math. 159, 119
(2003)]. The resultant small-size Hamiltonian contains the information of the
original BdG Hamiltonian in a given energy domain. In other words, the present
approach leads to a numerical construction of a low-energy effective theory in
superconductivity. The combination with the polynomial expansion method allows
a self-consistent calculation of the BdG equations. Through numerical
calculations of quasi-particle excitations in a vortex lattice, thermal
conductivity, and nuclear magnetic relaxation rate, we show that our approach
is suitable for evaluating physical quantities in a large-size superconductor
and a nano-scale superconducting device, with the mean-field superconducting
theory.


title:
Universality of one-dimensional Fermi systems, II. The Luttinger liquid
  structure

abstract:
  We complete the proof started in "Universality of one-dimensional Fermi
systems, I." of the universal Luttinger liquid relations for a general model of
spinning fermions on a lattice, by making use of the Ward Identities due to
asymptotically emerging symmetries. This is done by introducing an effective
model verifying extra symmetries and by relating its critical exponents to
those of the fermion lattice gas by suitable fine tuning of the parameters.


title: Convergence of an algorithm simulating Loewner curves

abstract:
  The development of Schramm--Loewner evolution (SLE) as the scaling limits of
discrete models from statistical physics makes direct simulation of SLE an
important task. The most common method, suggested by Marshall and Rohde
\cite{MR05}, is to sample Brownian motion at discrete times, interpolate
appropriately in between and solve explicitly the Loewner equation with this
approximation. This algorithm always produces piecewise smooth non
self-intersecting curves whereas SLE$_\kappa$ has been proven to be simple for
$\kappa\in[0,4]$, self-touching for $\kappa\in(4,8)$ and space-filling for
$\kappa\geq 8$. In this paper we show that this sequence of curves converges to
SLE$_\kappa$ for all $\kappa\neq 8$ by giving a condition on deterministic
driving functions to ensure the sup-norm convergence of simulated curves when
we use this algorithm.


title: Fluid dynamics near the QCD critical point

abstract:
  We present a fully dynamical model to study the chiral and deconfinement
transition of QCD simultaneously. The quark degrees of freedom constitute a
heat bath in local equilibrium for both order parameters, the sigma field and a
dynamical Polyakov loop. The nonequilibrium evolution of these fields is
described by Langevin equations including dissipation and noise. In several
quench scenarios we are able to observe a delay in the relaxation times near
the transition temperature for a critical point as well as a first-order phase
transition scenario. During the hydrodynamical expansion of a hot quark fluid
we find a strong enhancement of thermal fluctuations at the first-order
transition compared to a scenario with a critical point.


title: Quantum Routing of Single Photons with Cyclic Three-Level System

abstract:
  We propose an experimentally accessible single-photon routing scheme using a
$\bigtriangleup$-type three-level atom embedded in quantum multi-channels
composed of coupled-resonator waveguides. Via the on-demand classical field
applied to the atom, the router can extract a single photon from the incident
channel, and then redirect it into another. The efficient functions of perfect
reflection of single photon signal in the incident channel is rooted in the
coherent resonance and the existence of photonic bound states.


title:
Local density of states study of a spin-orbit-coupling induced Mott
  insulator Sr$_2$IrO$_4$

abstract:
  We present scanning tunneling microscopy and spectroscopy experiments on the
novel J_eff = 1/2 Mott insulator Sr2IrO4. Local density of states (LDOS)
measurements show an intrinsic insulating gap of 620 meV that is asymmetric
about the Fermi level and is larger than previously reported values. The size
of this gap suggests that Sr2IrO4 is likely a Mott rather than Slater
insulator. In addition, we found a small number of native defects which create
in-gap spectral weight. Atomically resolved LDOS measurements on and off the
defects shows that this energy gap is quite fragile. Together the extended
nature of the 5d electrons and poor screening of defects help explain the
elusive nature of this gap.


title: Note about the implementation of finite symmetries in the lepton sector

abstract:
  Assuming that the leptonic mixing matrix is given in first approximation by
the tribimaximal form we deduce some consequences with regard to the finite
symmetries that may be applied in the minimal lepton sector of the electroweak
theory.


title: The Bowen's topological entropy of the Cartesian product sets

abstract:
  This article is devoted to showing the product theorem for Bowen's
topological entropy.


title: Conserved quantities and Virasoro algebra in New massive gravity

abstract:
  Using the {\it off-shell} Noether current and potential we compute the
entropy for the AdS black holes in new massive gravity. For the non-extremal
BTZ black holes by implementing the so-called stretched horizon approach we
reproduce the correct expression for the horizon entropy. For the extremal
case, we adopt standard formalism in the AdS/CFT correspondence and reproduce
the corresponding entropy by computing the central extension term on the
asymptotic boundary of the near horizon geometry. We explicitly show the
invariance of the angular momentum along the radial direction for extremal as
well as non-extremal BTZ black holes in our model. Furthermore, we extend this
invariance for the black holes in new massive gravity coupled with a scalar
field, which correspond to the holographic renormalization group flow
trajectory of the dual field theory. This provides another realization for the
holographic c-theorem.


title: Ultra-fast Multiple Genome Sequence Matching Using GPU

abstract:
  In this paper, a contrastive evaluation of massively parallel implementations
of suffix tree and suffix array to accelerate genome sequence matching are
proposed based on Intel Core i7 3770K quad-core and NVIDIA GeForce GTX680 GPU.
Besides suffix array only held approximately 20%~30% of the space relative to
suffix tree, the coalesced binary search and tile optimization make suffix
array clearly outperform suffix tree using GPU. Consequently, the experimental
results show that multiple genome sequence matching based on suffix array is
more than 99 times speedup than that of CPU serial implementation. There is no
doubt that massively parallel matching algorithm based on suffix array is an
efficient approach to high-performance bioinformatics applications.


title:
Agent-based and macroscopic modeling of the complex socio-economic
  systems

abstract:
  The current economic crisis has provoked an active response from the
interdisciplinary scientific community. As a result many papers suggesting what
can be improved in understanding of the complex socio-economics systems were
published. Some of the most prominent papers on the topic include (Bouchaud,
2009; Farmer and Foley, 2009; Farmer et al, 2012; Helbing, 2010; Pietronero,
2008). These papers share the idea that agent-based modeling is essential for
the better understanding of the complex socio-economic systems and consequently
better policy making. Yet in order for an agent-based model to be useful it
should also be analytically tractable, possess a macroscopic treatment
(Cristelli et al, 2012). In this work we shed a new light on our research
group's contributions towards understanding of the correspondence between the
inter-individual interactions and collective behavior. We also provide some new
insights into the implications of the global and local interactions, the
leadership and the predator-prey interactions in the complex socio-economic
systems.


title:
Synthesis and structure of high-quality films of copper
  polyphthalocyanine - 2D conductive polymer

abstract:
  We propose an experimental approach, by which thin films of copper
polyphthalocyanine (CuPPC) can be directly synthesized in a chemical vapor
deposition (CVD) set-up at mild temperature (420 {\deg}C). High polymerization
degree and high crystallinity of the films was confirmed by TEM, FTIR and
UV-VIS studies; the stacking structure of CuPPC layers was determined,
inter-layer spacing was estimated from XRD and TEM electron-diffraction.
Quantum-chemical study performed providing support for experimental structure
determination and yielding information on the electronic structure.


title:
How does degree heterogeneity affect nucleation of Ising model on
  complex networks?

abstract:
  We investigate the nucleation of Ising model on complex networks and focus on
the role played by the heterogeneity of degree distribution on nucleation rate.
Using Monte Carlo simulation combined with forward flux sampling, we find that
for a weak external field the nucleation rate decreases monotonically as degree
heterogeneity increases. Interestingly, for a relatively strong external field
the nucleation rate exhibits a nonmonotonic dependence on degree heterogeneity,
in which there exists a maximal nucleation rate at an intermediate level of
degree heterogeneity. Furthermore, we develop a heterogeneous mean-field theory
for evaluating the free-energy barrier of nucleation. The theoretical
estimations are qualitatively consistent with the simulation results. Our study
suggests that degree heterogeneity plays a nontrivial role in the dynamics of
phase transition in networked Ising systems.


title: On the galactic spin of barred disk galaxies

abstract:
  We present a study of the connection between the galactic spin parameter
$\lambda_{d}$ and the bar fraction in a volume-limited sample of 10,674 disk
galaxies drawn from the Sloan Digital Sky Survey Data Release 7. The galaxies
in our sample are visually classified into galaxies hosting long or short bars,
and non-barred galaxies. We find that the spin distributions of these three
classes are statistically different, with galaxies hosting long bars with the
lowest $\lambda_{d}$ values, followed by non-barred galaxies, while galaxies
with short bars present typically high spin parameters. The bar fraction
presents its maximum at low to intermediate $\lambda_{d}$ values for the case
of long bars, while the maximum for short bars is at high $\lambda_{d}$. This
bi-modality is in good agreement with previous studies finding longer bars
hosted by luminous, massive, red galaxies with low content of cold gas, while
short bars are found in low luminosity, low mass, blue galaxies, usually gas
rich. In addition, the rise and fall of the bar fraction as a function of
$\lambda_{d}$, within the long-bar sample, shown in our results, can be
explained as a result of two competing factors: the self-gravity of the disk
that enhances bar instabilities, and the support by random motions instead of
ordered rotational motion, that prevents the formation/growth of bars.


title:
Simpson type inequalities for first order differentiable preinvex and
  prequasiinvex functions

abstract:
  In this paper, we obtain some inequalities for functions whose first
derivatives in absolute value are preinvex and prequasiinvex.