title:
Search for $K^-pp$ bound state via $\gamma d \rightarrow K^+ \pi^-X$
  reaction at $E_\gamma=1.5-2.4$ GeV

abstract:
  A search for $K^-pp$ bound state (the lightest kaonic nucleus) has been
performed using the $\gamma d \rightarrow K^+ \pi^- \rm{X}$ reaction at
E$_\gamma$=1.5-2.4 GeV at LEPS/SPring-8. The differential cross section of $K^+
\pi^-$ photo-production off deuterium has been measured for the first time in
this energy region, and a bump structure was searched for in the inclusive
missing mass spectrum. A statistically significant bump structure was not
observed in the region from 2.22 to 2.36 GeV/$c^2$, and the upper limits of the
differential cross section for the $K^-pp$ bound state production were
determined to be 0.1$-$0.7 $\mu$ b (95$%$ confidence level) for a set of
assumed binding energy and width values.


title: SU(2)-Irreducibly covariant and EPOSIC channels

abstract:
  In this paper we introduce EPOSIC channels, a class of SU(2)-covariant
quantum channels. We give their definition, a Kraus representation of them, and
compute their Choi matrices. We show that these channels form the set of
extreme points of all SU(2)-irreducibly covariant channels. We also compute
their complementary channels, and their dual maps. As application of these
channel, we get a new example of positive map that is not completely positive.


title: Explicit formulae for primes in arithmetic progressions, I

abstract:
  We shall give an explicit formula for $\psi(x, q, a)$ with an error term of
the form $C/\log^\alpha x$ under the condition that $q<\log^{\alpha_1} x$ is
nonexceptional, for various values of $\alpha$ and $\alpha_1$. We shall also
give an explicit formula for $\psi(x, q, a)$ with error terms $C/\log^A x$
working whether $q$ is exceptional or nonexceptional, but under the condition
that $\frac{0.4923A}{\pi}q^{1/2}\log^2 q<\log x/\log\log x$. Moreover, we shall
give an explicit form of Bombieri-Vinogradov theorem over non-exceptional
moduli.


title: The Geometry of Fusion Inspired Channel Design

abstract:
  This paper is motivated by the problem of integrating multiple sources of
measurements. We consider two multiple-input-multiple-output (MIMO) channels, a
primary channel and a secondary channel, with dependent input signals. The
primary channel carries the signal of interest, and the secondary channel
carries a signal that shares a joint distribution with the primary signal. The
problem of particular interest is designing the secondary channel matrix, when
the primary channel matrix is fixed. We formulate the problem as an
optimization problem, in which the optimal secondary channel matrix maximizes
an information-based criterion. An analytical solution is provided in a special
case. Two fast-to-compute algorithms, one extrinsic and the other intrinsic,
are proposed to approximate the optimal solutions in general cases. In
particular, the intrinsic algorithm exploits the geometry of the unit sphere, a
manifold embedded in Euclidean space. The performances of the proposed
algorithms are examined through a simulation study. A discussion of the choice
of dimension for the secondary channel is given.


title: Density mapping with weak lensing and phase information

abstract:
  The available probes of the large scale structure in the Universe have
distinct properties: galaxies are a high resolution but biased tracer of mass,
while weak lensing avoids such biases but, due to low signal-to-noise ratio,
has poor resolution. We investigate reconstructing the projected density field
using the complementarity of weak lensing and galaxy positions. We propose a
maximum-probability reconstruction of the 2D lensing convergence with a
likelihood term for shear data and a prior on the Fourier phases constructed
from the galaxy positions. By considering only the phases of the galaxy field,
we evade the unknown value of the bias and allow it to be calibrated by lensing
on a mode-by-mode basis. By applying this method to a realistic simulated
galaxy shear catalogue, we find that a weak prior on phases provides a good
quality reconstruction down to scales beyond l=1000, far into the noise domain
of the lensing signal alone.


title: On the metric entropy of the Banach-Mazur compactum

abstract:
  We study the metric entropy of the metric space $B_n$ of all n-dimensional
Banach spaces (the so-called Banach-Mazur compactum) equipped with the
Banach-Mazur (multiplicative) "distance" $d$. We are interested either in
estimates independent of the dimension or in asymptotic estimates when the
dimension tends to $\infty$. For instance, we prove that, if $N({B_n},d,
1+\varepsilon)$ is the smallest number of "balls" of "radius" $1+\varepsilon$
that cover $ B_n$, then for any $\varepsilon>0$ we have $$0<\liminf_{n\to
\infty}n^{-1} \log\log N(B_n,d,1+\varepsilon)\le \limsup_{n\to \infty}n^{-1}
\log\log N(B_n,d,1+\varepsilon)<\infty.$$ We also prove an analogous result for
the metric entropy of the set of n-dimensional operator spaces equipped with
the distance $d_N$ naturally associated to $N\times N$-matrices with operator
entries. In that case $N$ is arbitrary but our estimates are valid
independently of $N$. In the Banach space case (i.e.N=1) the above upper bound
is part of the folklore, and the lower bound is at least partially known (but
apparently has not appeared in print). While we follow the same approach in
both cases, the matricial case requires more delicate ingredients, namely
estimates (from our previous work) on certain $n$-tuples of $N\times N$ unitary
matrices known as "quantum expanders".


title: Cryptanalysis of a non-commutative key exchange protocol

abstract:
  In the papers by Alvarez et al. and Pathak and Sanghi a non-commutative based
public key exchange is described. A similiar version of it has also been
patented (US7184551). In this paper we present a polynomial time attack that
breaks the variants of the protocol presented in the two papers. Moreover we
show that breaking the patented cryptosystem US7184551 can be easily reduced to
factoring. We also give some examples to show how efficiently the attack works.


title:
A Toroidal Magnetised Iron Neutrino Detector (MIND) for a Neutrino
  Factory

abstract:
  A neutrino factory has unparalleled physics reach for the discovery and
measurement of CP violation in the neutrino sector. A far detector for a
neutrino factory must have good charge identification with excellent background
rejection and a large mass. An elegant solution is to construct a magnetized
iron neutrino detector (MIND) along the lines of MINOS, where iron plates
provide a toroidal magnetic field and scintillator planes provide 3D space
points. In this report, the current status of a simulation of a toroidal MIND
for a neutrino factory is discussed in light of the recent measurements of
large $\theta_{13}$. The response and performance using the 10 GeV neutrino
factory configuration are presented. It is shown that this setup has equivalent
$\delta_{CP}$ reach to a MIND with a dipole field and is sensitive to the
discovery of CP violation over 85% of the values of $\delta_{CP}$.


title:
Remarks on Slater's asymptotic expansions of Kummer functions for large
  values of the $a-$parameter

abstract:
  In Slater's 1960 standard work on confluent hypergeometric functions, also
called Kummer functions, a number of asymptotic expansions of these functions
can be found. We summarize expansions derived from a differential equation for
large values of the $a-$parameter. We show how similar expansions can be
derived by using integral representations, and we observe discrepancies with
Slater's expansions.


title:
The kinetic equation for filament density, formed during propagation of
  femtosecond laser radiation, in the approximation of self-consistent field

abstract:
  A general form of the kinetic equation for filament number density
considering the effects of their generation and decay is stated. It is consists
of the phenomenological parameters, which have been determined from the direct
numerical simulation of propagation of a high-power femtosecond laser pulse
(HPFLP) based on the stationary nonlinear Schr\"odinger equation (NSE) for a
series of the threshold particular cases.


title: Tripartite entangled pure states are tripartite nonlocal

abstract:
  Nonlocal correlations as revealed by the violations to Bell inequalities are
incompatible with local models without any nonlocal correlations. However some
tripartite entangled states, e.g., symmetric pure states, exhibit a stronger
nonlocality even incompatible with hybrid local/nonlocal models allowing
nonlocal correlations between any two parties. Here we propose a three-particle
Hardy-type test without inequality, as illustrated by a gedanken experiment,
that is failed by all non-signaling local models while is passed by all
tripartite entangled asymmetric pure states. Our result implies that every
tripartite entangled state, regardless of the dimensions of the underlying
Hilbert spaces, passes a Hardy-type test and therefore is genuine tripartite
nonlocal. Maximal success probability and a generalization to multipartite
cases of our test are also presented.


title:
Coarse topological transitivity on open cones and coarsely J-class and
  D-class operators

abstract:
  We generalize the concept of coarse hypercyclicity, introduced by Feldman in
\cite{Fe1}, to that of coarse topological transitivity on open cones. We show
that a bounded linear operator acting on an infinite dimensional Banach space
with a coarsely dense orbit on an open cone is hypercyclic and a coarsely
topologically transitive (mixing) operator on an open cone is topologically
transitive (mixing resp.). We also "localize" these concepts by introducing two
new classes of operators called coarsely $J$-class and coarsely $D$-class
operators and we establish some results that may make these classes of
operators potentially interesting for further studying. Namely, we show that if
a backward unilateral weighted shift on $l^2(\mathbb{N})$ is coarsely $J$-class
(or $D$-class) on an open cone then it is hypercyclic. Then we give an example
of a bilateral weighted shift on $l^{\infty}(\mathbb{Z})$ which is coarsely
$J$-class, hence it is coarsely $D$-class, and not $J$-class. Note that,
concerning the previous result, it is well known that the space
$l^{\infty}(\mathbb{Z})$ does not support $J$-class bilateral weighted shifts,
see \cite{CosMa2}. Finally, we show that there exists a non-separable Banach
space which supports no coarsely $D$-class operators on open cones. Some open
problems are added.


title:
Super-accelerating bouncing cosmology in asymptotically-free non-local
  gravity

abstract:
  Recently, evidence has been collected that a class of gravitational theories
with certain non-local operators is renormalizable. We consider one such model
which, at the linear perturbative level, reproduces the effective non-local
action for the light modes of bosonic closed string-field theory. Using the
property of asymptotic freedom in the ultraviolet and fixing the classical
behavior of the scale factor at late times, an algorithm is proposed to find
general homogeneous cosmological solutions valid both at early and late times.
Imposing a power-law classical limit, these solutions (including anisotropic
ones) display a bounce, instead of a big-bang singularity, and super-accelerate
near the bounce even in the absence of an inflaton or phantom field.


title: A High Earth, Lunar Resonant Orbit for Lower Cost Space Science Missions

abstract:
  Many science missions require an unobstructed view of space and a stable
thermal environment but lack the technical or programmatic resources to reach
orbits that satisfy these needs. This paper presents a high Earth orbit in 2:1
resonance with the Moon that provides these conditions, reached via lunar
gravity assist. Analytical guidance and numerical investigation yielded deep
insight into this unconventional orbit's behavior, making it possible to select
a robust mission design. Solutions are available for a broad range of missions,
from smaller Explorer-class missions such as the Transiting Exoplanet Survey
Satellite to larger missions that seek lower-Delta V alternatives to
traditional Lagrange-point, drift-away, and geosynchronous orbits.


title: Analysis of Boundary Conditions for Crystal Defect Atomistic Simulations

abstract:
  Numerical simulations of crystal defects are necessarily restricted to finite
computational domains, supplying artificial boundary conditions that emulate
the effect of embedding the defect in an effectively infinite crystalline
environment. This work develops a rigorous framework within which the accuracy
of different types of boundary conditions can be precisely assessed.
  We formulate the equilibration of crystal defects as variational problems in
a discrete energy space and establish qualitatively sharp regularity estimates
for minimisers. Using this foundation we then present rigorous error estimates
for (i) a truncation method (Dirichlet boundary conditions), (ii) periodic
boundary conditions, (iii) boundary conditions from linear elasticity, and (iv)
boundary conditions from nonlinear elasticity. Numerical results confirm the
sharpness of the analysis.


title:
Long range correlations and folding angle in polymers with applications
  to {\alpha}-helical proteins

abstract:
  The conformational complexity of linear polymers far exceeds that of
point-like atoms and molecules. Polymers can bend, twist, even become knotted.
Thus they may also display a much richer phase structure than point particles.
But it is not very easy to characterize the phase of a polymer. Essentially,
the only attribute is the radius of gyration. The way how it changes when the
degree of polymerization becomes different, and how it evolves when the ambient
temperature and solvent properties change, discloses the phase of the polymer.
Moreover, in any finite length chain there are corrections to scaling, that
complicate the detailed analysis of the phase structure. Here we introduce a
quantity that we call the folding angle, a novel tool to identify and
scrutinize the phases of polymers. We argue for a mean-field relationship
between its values and those of the scaling exponent in the radius of gyration.
But unlike in the case of the radius of gyration, the value of the folding
angle can be evaluated from a single structure. As an example we estimate the
value of the folding angle in the case of crystallographic {\alpha}-helical
protein structures in the Protein Data Bank (PDB). We also show how the value
can be numerically computed using a theoretical model of {\alpha}-helical
chiral homopolymers.


title: Solar Wind Turbulence and the Role of Ion Instabilities

abstract:
  Solar wind is probably the best laboratory to study turbulence in
astrophysical plasmas. In addition to the presence of magnetic field, the
differences with neutral fluid isotropic turbulence are: weakness of
collisional dissipation and presence of several characteristic space and time
scales. In this paper we discuss observational properties of solar wind
turbulence in a large range from the MHD to the electron scales. At MHD scales,
within the inertial range, turbulence cascade of magnetic fluctuations develops
mostly in the plane perpendicular to the mean field. Solar wind turbulence is
compressible in nature. The spectrum of velocity fluctuations do not follow
magnetic field one. Probability distribution functions of different plasma
parameters are not Gaussian, indicating presence of intermittency. At the
moment there is no global model taking into account all these observed
properties of the inertial range. At ion scales, turbulent spectra have a
break, compressibility increases and the density fluctuation spectrum has a
local flattening. Around ion scales, magnetic spectra are variable and ion
instabilities occur as a function of the local plasma parameters. Between ion
and electron scales, a small scale turbulent cascade seems to be established.
Approaching electron scales, the fluctuations are no more self-similar: an
exponential cut-off is usually observed indicating an onset of dissipation. The
nature of the small scale cascade and a possible dissipation mechanism are
still under debate.


title: Minimization of a fractional perimeter-Dirichlet integral functional

abstract:
  We consider a minimization problem that combines the Dirichlet energy with
the nonlocal perimeter of a level set, namely $$ \int_\Om |\nabla
u(x)|^2\,dx+\Per\Big(\{u > 0\},\Om \Big),$$ with $\sigma\in(0,1)$. We obtain
regularity results for the minimizers and for their free boundaries $\p
\{u>0\}$ using blow-up analysis. We will also give related results about
density estimates, monotonicity formulas, Euler-Lagrange equations and
extension problems.


title:
Active influence in dynamical models of structural balance in social
  networks

abstract:
  We consider a nonlinear dynamical system on a signed graph, which can be
interpreted as a mathematical model of social networks in which the links can
have both positive and negative connotations. In accordance with a concept from
social psychology called structural balance, the negative links play a key role
in both the structure and dynamics of the network. Recent research has shown
that in a nonlinear dynamical system modeling the time evolution of
"friendliness levels" in the network, two opposing factions emerge from almost
any initial condition. Here we study active external influence in this
dynamical model and show that any agent in the network can achieve any desired
structurally balanced state from any initial condition by perturbing its own
local friendliness levels. Based on this result, we also introduce a new
network centrality measure for signed networks. The results are illustrated in
an international relations network using United Nations voting record data from
1946 to 2008 to estimate friendliness levels amongst various countries.


title: A modern solution to the Gion shrine problem

abstract:
  We give a new solution to the famous Gion shrine geometry problem from
eighteenth-century Japan. Like the classical Japanese solution, ours is given
in the form of a degree ten equation. However, our polynomial has the advantage
of being much easier to write down. We also provide some additional analysis,
including a discussion of existence and uniqueness.


title:
Quantitative stochastic homogenization of elliptic equations in
  nondivergence form

abstract:
  We introduce a new method for studying stochastic homogenization of elliptic
equations in nondivergence form. The main application is an algebraic error
estimate, asserting that deviations from the homogenized limit are at most
proportional to a power of the microscopic length scale, assuming a finite
range of dependence. The results are new even for linear equations. The
arguments rely on a new geometric quantity which is controlled in part by
adapting elements of the regularity theory for the Monge-Amp\`ere equation.


title:
Schematic baryon models, their tight binding description and their
  microwave realization

abstract:
  A schematic model for baryon excitations is presented in terms of a symmetric
Dirac gyroscope, a relativistic model solvable in closed form, that reduces to
a rotor in the non-relativistic limit. The model is then mapped on a nearest
neighbour tight binding model. In its simplest one-dimensional form this model
yields a finite equidistant spectrum. This is experimentally implemented as a
chain of dielectric resonators under conditions where their coupling is
evanescent and good agreement with the prediction is achieved.


title:
Stochastic hydrodynamic-type evolution equations driven by L\'{e}vy
  noise in 3D unbounded domains - abstract framework and applications

abstract:
  The existence of martingale solutions of the hydrodynamic-type equations in
3D possibly unbounded domains is proved. The construction of the solution is
based on the Faedo-Galerkin approximation. To overcome the difficulty related
to the lack of the compactness of Sobolev embeddings in the case of unbounded
domain we use certain Fr\'{e}chet space.
  We use also compactness and tightness criteria in some nonmetrizable spaces
and a version of the Skorokhod Theorem in non-metric spaces. The general
framework is applied to the stochastic Navier-Stokes, magneto-hydrodynamic
(MHD) and the Boussinesq equations.


title:
SUSY discovery potential of LHC14 with 0.3-3~ab^{-1} : A Snowmass
  whitepaper

abstract:
  We examine the discovery reach of LHC14 for supersymmetry for integrated
luminosity ranging from 0.3 to 3 ab^{-1}. In models with gaugino mass
unification and M_1,\ M_2<< |\mu| (as for mSUGRA/CMSSM), we find a reach of
LHC14 with 3 ab^{-1} for gluino pair production extends to m_{\tg} 2.3 TeV
while the reach via \tw_1\tz_2 \to W h +ETmiss extends to m_{\tg}\sim 2.6 TeV.


title: Axion response in Weyl semimetals

abstract:
  Weyl semimetal is a new phase of matter that provides the first solid state
realization of chiral Weyl fermions. Most of its unique physics is a
consequence of chiral anomaly, namely nonconservation of the number of
particles of a given chirality. Mathematically, this is expressed in the
appearance of the so called $\theta$-term in the action of the electromagnetic
field, when the Weyl fermions are integrated out. Recently, however, it has
been suggested that the analogy between the chiral fermions of quantum field
theory with unbounded linear dispersion, and their solid state realization with
a dispersion naturally bounded by the bandwidth and crystal momentum defined
only within the first Brillouin zone, holds only in a restricted sense, with
parts of the $\theta$-term absent. Here we demonstrate that this is not the
case. We explicitly derive the $\theta$-term for a microscopic model of a Weyl
semimetal by integrating out fermions coupled to electromagnetic field, and
show that the result has exactly the same form as in the case of relativistic
chiral fermions.


title:
Around Independence and Domination in Metric Abstract Elementary
  Classes, under Uniqueness of Limit Models

abstract:
  We study notions of independence appropriate for a stability theory of metric
abstract elementary classes (for short, MAECs). We build on previous notions
used in the discrete case, and adapt definitions to the metric case. In
particular, we study notions that behave well under superstability-like
assumptions. Also, under uniqueness of limit models, we study domination,
orthogonality and parallelism of Galois types in MAECs.


title:
Validity of heavy-traffic steady-state approximations in many-server
  queues with abandonment

abstract:
  We consider GI/Ph/n+M parallel-server systems with a renewal arrival process,
a phase-type service time distribution, n homogenous servers, and an
exponential patience time distribution with positive rate. We show that in the
Halfin-Whitt regime, the sequence of stationary distributions corresponding to
the normalized state processes is tight. As a consequence, we establish an
interchange of heavy traffic and steady state limits for GI/Ph/n+M queues.


title:
Randomized longest-queue-first scheduling for large-scale buffered
  systems

abstract:
  We develop diffusion approximations for parallel-queueing systems with the
randomized longest-queue-first scheduling algorithm by establishing new
mean-field limit theorems as the number of buffers $n\to\infty$. We achieve
this by allowing the number of sampled buffers $d=d(n)$ to depend on the number
of buffers $n$, which yields an asymptotic `decoupling' of the queue length
processes.
  We show through simulation experiments that the resulting approximation is
accurate even for moderate values of $n$ and $d(n)$. To our knowledge, we are
the first to derive diffusion approximations for a queueing system in the
large-buffer mean-field regime. Another noteworthy feature of our scaling idea
is that the randomized longest-queue-first algorithm emulates the
longest-queue-first algorithm, yet is computationally more attractive. The
analysis of the system performance as a function of $d(n)$ is facilitated by
the multi-scale nature in our limit theorems: the various processes we study
have different space scalings. This allows us to show the trade-off between
performance and complexity of the randomized longest-queue-first scheduling
algorithm.


title: Exponentiation of commuting nilpotent varieties

abstract:
  Let $H$ be a linear algebraic group over an algebraically closed field of
characteristic $p>0$. We prove that any "exponential map" for $H$ induces a
bijection between the variety of $r$-tuples of commuting $[p]$-nilpotent
elements in $Lie(H)$ and the variety of height $r$ infinitesimal one-parameter
subgroups of $H$. In particular, we show that for a connected reductive group
$G$ in pretty good characteristic, there is a canonical exponential map for $G$
and hence a canonical bijection between the aforementioned varieties, answering
in this case questions raised both implicitly and explicitly by Suslin,
Friedlander, and Bendel.


title: Song-based Classification techniques for Endangered Bird Conservation

abstract:
  The work presented in this paper is part of a global framework which long
term goal is to design a wireless sensor network able to support the
observation of a population of endangered birds. We present the first stage for
which we have conducted a knowledge discovery approach on a sample of
acoustical data. We use MFCC features extracted from bird songs and we exploit
two knowledge discovery techniques. One that relies on clustering-based
approaches, that highlights the homogeneity in the songs of the species. The
other, based on predictive modeling, that demonstrates the good performances of
various machine learning techniques for the identification process. The
knowledge elicited provides promising results to consider a widespread study
and to elicit guidelines for designing a first version of the automatic
approach for data collection based on acoustic sensors.


title:
Error Correction for NOR Memory Devices with Exponentially Distributed
  Read Noise

abstract:
  The scaling of high density NOR Flash memory devices with multi level cell
(MLC) hits the reliability break wall because of relatively high intrinsic bit
error rate (IBER). The chip maker companies offer two solutions to meet the
output bit error rate (OBER) specification: either partial coverage with error
correction code (ECC) or data storage in single level cell (SLC) with
significant increase of the die cost. The NOR flash memory allows to write
information in small portions, therefore the full error protection becomes
costly due to high required redundancy, e.g. $\sim$50%. This is very different
from the NAND flash memory writing at once large chunks of information; NAND
ECC requires just $\sim$10% redundancy. This paper gives an analysis of a novel
error protection scheme applicable to NOR storage of one byte. The method does
not require any redundant cells, but assumes 5th program level. The information
is mapped to states in the 4-dimensional space separated by the minimal
Manhattan distance equal 2. This code preserves the information capacity: one
byte occupies four memory cells. We demonstrate the OBER $\sim$ IBER$^{3/2}$
scaling law, where IBER is calculated for the 4-level MLC memory. As an
example, the 4-level MLC with IBER $\sim10^{-9}$, which is unacceptable for
high density products, can be converted to OBER $\sim10^{-12}$. We assume that
the IBER is determined by the exponentially distributed read noise. This is the
case for NOR Flash memory devices, since the exponential tails are typical for
the random telegraph signal (RTS) noise and for most of the charge loss, charge
gain, and charge sharing data losses.


title:
Divisors on graphs, binomial and monomial ideals, and cellular
  resolutions

abstract:
  We study various binomial and monomial ideals arising in the theory of
divisors, orientations, and matroids on graphs. We use ideas from potential
theory on graphs and from the theory of Delaunay decompositions for lattices to
describe their minimal polyhedral cellular free resolutions. We show that the
resolutions of all these ideals are closely related and that their
$\mathbb{Z}$-graded Betti tables coincide. As corollaries, we give conceptual
proofs of conjectures and questions posed by Postnikov and Shapiro, by
Manjunath and Sturmfels, and by Perkinson, Perlman, and Wilmes. Various other
results related to the theory of chip-firing games on graphs also follow from
our general techniques and results.


title: Predicting radiative B decays to vector mesons in holographic QCD

abstract:
  We predict observables in radiative B decays to vector mesons using
holographic AdS/QCD Distribution Amplitudes for the vector mesons. We find that
end-point divergences can be avoided when computing power-suppressed
contributions in the heavy quark limit. The results reported here can be found
in references [1] and [2].


title:
A local limit theorem for densities of the additive component of a
  finite Markov Additive Process

abstract:
  In this paper, we are concerned with centered Markov Additive Processes
$\{(X_t,Y_t)\}_{t\in\T}$ where the driving Markov process $\{X_t\}_{t\in\T}$
has a finite state space. Under suitable conditions, we provide a local limit
theorem for the density of the absolutely continuous part of the probability
distribution of $t^{-1/2}Y_t$ given $X_0$. The rate of convergence and the
moment condition are the expected ones with respect to the i.i.d case. An
application to the joint distribution of local times of a finite jump process
is sketched.


title: Eigenvalue enclosures

abstract:
  This paper is concerned with methods for numerical computation of eigenvalue
enclosures. We examine in close detail the equivalence between an extension of
the Lehmann-Maehly-Goerisch method developed a few years ago by Zimmermann and
Mertins, and a geometrically motivated method developed more recently by Davies
and Plum. We extend various previously known results in the theory and
establish explicit convergence estimates in both settings. The theoretical
results are supported by two benchmark numerical experiments on the isotropic
Maxwell eigenvalue problem.


title: On the dephasing of genetic oscillations

abstract:
  The digital nature of genes combined with the associated low copy numbers of
proteins regulating them is a significant source of stochasticity, which
affects the phase of biochemical oscillations. We provide a theoretical
framework for understanding the dephasing evolution of genetic oscillations by
combining the phenomenological stochastic limit cycle dynamics and the discrete
Markov state models that describe the genetic oscillations. Through simulations
of the realistic model of the NF\kappa B/I\kappa B network we illustrate the
dephasing phenomena which are important for reconciling single cell and
population based experiments on this system.


title: Flows on Honeycombs and Sums of Littlewood-Richardson Tableaux

abstract:
  Suppose \mu and \mu' are two partitions. We will let \mu \oplus \mu' denote
the "direct sum" of the partitions, defined as the sorted partition made of the
parts of $\mu$ and $\mu'$. In this paper, we define a summation operation on
two Littlewood-Richardson fillings of type (\mu, \nu;\lambda) and (\mu',
\nu';\lambda'), which results in a Littlewood-Richardson filling of type
(\mu\oplus \mu', \nu\oplus \nu' ;\lambda\oplus \lambda'). We give an algorithm
to produce the sum, and show that it terminates in a Littlewood-Richardson
filling by defining a bijection between a Littlewood-Richardson filling and a
flow on a honeycomb, and then showing that the overlay of the two honeycombs of
appropriate type corresponds to the sum of the two fillings.


title: Comment on "A short impossibility proof of quantum bit commitment"

abstract:
  In a recent letter (Phys. Lett. A 377 (2013) 1076, arXiv:0905.3801), the
authors presented an impossibility proof of quantum bit commitment, which
attempted to cover all possible protocols that involve both quantum and
classical information. Here we show that there are many errors in the proof,
thus it fails to exhaust all conceivable protocols.


title: Monotonicity of a relative R\'enyi entropy

abstract:
  We show that a recent definition of relative R\'enyi entropy is monotone
under completely positive, trace preserving maps. This proves a recent
conjecture of M\"uller-Lennert et al.

categories: math-ph cs.IT math.FA math.IT math.MP quant-ph


title: Hartree-Fock Computation of the High-Tc Cuprate Phase Diagram

abstract:
  A computation of the cuprate phase diagram is presented. Adiabatic
deformability back to the density function band structure is assumed. Symmetry
constraints lead to a fermi liquid theory with 5 interaction parameters. Two of
these are forced to zero by experiment. The remaining 3 are fit to (1) the
moment of the antiferromagnetic state at half filling, (2) the superconducting
gap at optimal doping, and (3) the maximum pseudogap, which I identify as
d-density wave. Solution of the Hartree-Fock equations gives, in quantitative
agreement with experiment, (1) quantum phase transitions at 5% and 16% p-type
doping, (2) insulation below 5%, (3) a d-wave pseudogap quasiparticle spectrum,
(4) pseudogap and superconducting gap values as a function of doping, (5)
superconducting Tc versus doping, (6) London penetration depth versus doping,
(7) spin wave velocity. The fit points to superexchange mediated by the bonding
O atom in the Cu-O plane as the causative agent of all three ordering
phenomena.


title:
Intrinsic Optical Properties and Enhanced Plasmonic Response of
  Epitaxial Silver

abstract:
  Plasmonics offers an enticing platform to manipulate light at the
subwavelength scale. Currently, loss represents the most serious challenge
impeding its progress and broad impact towards practical technology. In this
regard, silver (Ag) is by far the preferred plasmonic material at optical
frequencies, having the lowest loss among all metals in this frequency range.
However, large discrepancies exist among widely quoted values of optical loss
in Ag due to variations in sample preparation procedures that produce
uncontrollable grain boundaries and defects associated with additional loss. A
natural question arises: what are the intrinsic fundamental optical properties
of Ag and its ultimate possibilities in the field of plasmonics? Using
atomically-smooth epitaxial Ag films, we extracted new optical constants that
reflect significantly reduced loss and measured greatly enhanced propagation
distance of surface plasmon polaritons (SPPs) beyond what was previously
considered possible. By establishing a new benchmark in the ultimate optical
properties of Ag, these results will have a broad impact for metamaterials and
plasmonic applications.


title:
Shear viscosity of neutron-rich nucleonic matter near its liquid-gas
  phase transition

abstract:
  Within a relaxation time approach using free nucleon-nucleon cross sections
modified by the in-medium nucleon masses that are determined from an isospin-
and momentum-dependent effective nucleon-nucleon interaction, we investigate
the specific shear viscosity ($\eta/s$) of neutron-rich nucleonic matter near
its liquid-gas phase transition. It is found that as the nucleonic matter is
heated at fixed pressure or compressed at fixed temperature, its specific shear
viscosity shows a valley shape in the temperature or density dependence, with
the minimum located at the boundary of the phase transition. Moreover, the
value of $\eta/s$ drops suddenly at the first-order liquid-gas phase transition
temperature, reaching as low as $4\sim5$ times the KSS bound of $\hbar/4\pi$.
However, it varies smoothly for the second-order liquid-gas phase transition.
Effects of the isospin degree of freedom and the nuclear symmetry energy on the
value of $\eta/s$ are also discussed.


title: A Statistical Perspective on Algorithmic Leveraging

abstract:
  One popular method for dealing with large-scale data sets is sampling. For
example, by using the empirical statistical leverage scores as an importance
sampling distribution, the method of algorithmic leveraging samples and
rescales rows/columns of data matrices to reduce the data size before
performing computations on the subproblem. This method has been successful in
improving computational efficiency of algorithms for matrix problems such as
least-squares approximation, least absolute deviations approximation, and
low-rank matrix approximation. Existing work has focused on algorithmic issues
such as worst-case running times and numerical issues associated with providing
high-quality implementations, but none of it addresses statistical aspects of
this method.
  In this paper, we provide a simple yet effective framework to evaluate the
statistical properties of algorithmic leveraging in the context of estimating
parameters in a linear regression model with a fixed number of predictors. We
show that from the statistical perspective of bias and variance, neither
leverage-based sampling nor uniform sampling dominates the other. This result
is particularly striking, given the well-known result that, from the
algorithmic perspective of worst-case analysis, leverage-based sampling
provides uniformly superior worst-case algorithmic results, when compared with
uniform sampling. Based on these theoretical results, we propose and analyze
two new leveraging algorithms. A detailed empirical evaluation of existing
leverage-based methods as well as these two new methods is carried out on both
synthetic and real data sets. The empirical results indicate that our theory is
a good predictor of practical performance of existing and new leverage-based
algorithms and that the new algorithms achieve improved performance.


title:
Improved Measurement of Absolute Hadronic Branching Fractions of the Ds+
  Meson

abstract:
  The branching fractions of Ds meson decays serve to normalize many
measurements of processes involving charm quarks. Using 586 pb^-1 of e+ e-
collisions recorded at a center of mass energy of 4.17 GeV, we determine
absolute branching fractions for 13 Ds decays in 16 reconstructed final states
with a double tag technique. In particular we make a precise measurement of the
branching fraction B(Ds -> K- K+ pi+) = (5.55 +- 0.14 +- 0.13)%, where the
uncertainties are statistical and systematic respectively. We find a
significantly reduced value of B(Ds -> pi+ pi0 eta') compared to the world
average, and our results bring the inclusively and exclusively measured values
of B(Ds -> eta' X)$ into agreement. We also search for CP-violating asymmetries
in Ds decays and measure the cross-section of e+ e- -> Ds* Ds at Ecm = 4.17
GeV.


title: A scattering theory construction of dynamical vacuum black holes

abstract:
  We construct a large class of dynamical vacuum black hole spacetimes whose
exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr
metric. The construction proceeds by solving a backwards scattering problem for
the Einstein vacuum equations with characteristic data prescribed on the event
horizon and (in the limit) at null infinity. The class admits the full
"functional" degrees of freedom for the vacuum equations, and thus our
solutions will in general possess no geometric or algebraic symmetries. It is
essential, however, for the construction that the scattering data (and the
resulting solution spacetime) converge to stationarity exponentially fast, in
advanced and retarded time, their rate of decay intimately related to the
surface gravity of the event horizon. This can be traced back to the celebrated
redshift effect, which in the context of backwards evolution is seen as a
blueshift.


title: On Investigating EMD Parameters to Search for Gravitational Waves

abstract:
  The Hilbert-Huang transform (HHT) is a novel, adaptive approach to time
series analysis. It does not impose a basis set on the data or otherwise make
assumptions about the data form, and so the time--frequency decomposition is
not limited by spreading due to uncertainty. Because of the high resolution of
the time--frequency, we investigate the possibility of the application of the
HHT to the search for gravitational waves. It is necessary to determine some
parameters in the empirical mode decomposition (EMD), which is a component of
the HHT, and in this paper we propose and demonstrate a method to determine the
optimal values of the parameters to use in the search for gravitational waves.


title:
National Oceanic and Atmospheric Administration Publishes Misleading
  Information on Gulf of Mexico "Dead Zone"

abstract:
  Mississippi River nutrient loads and water stratification on the
Louisiana-Texas shelf contribute to an annually recurring, short-lived hypoxic
bottom layer in areas of the northern Gulf of Mexico comprising less than 2% of
the total Gulf of Mexico bottom area. Many publications demonstrate increases
in biomass and fisheries production attributed to nutrient loading from river
plumes. Decreases in fisheries production when nutrient loads are decreased are
also well documented. However, the National Oceanic and Atmospheric
Administration (NOAA) persists in describing the area adjacent to the
Mississippi River discharge as a "dead zone" and predicting dire consequences
if nutrient loads are not reduced. In reality, these areas teem with aquatic
life and provide 70-80% of the Gulf of Mexico fishery production. On June 18,
2013, NOAA published a misleading figure purporting to show the "dead zone" in
an article predicting a possible record dead zone area for 2013
(http://www.noaanews.noaa.gov/stories2013/20130618_deadzone.html). This area is
not a region of hypoxic bottom water at all nor is it related directly to 2013
predicted hypoxia. This figure appeared as early as 2004 in a National
Aeronautics and Space Administration (NASA) article
(http://www.nasa.gov/vision/earth/environment/dead_zone.html) as a satellite
image where the red area represents turbidity and is much larger than the
short-lived areas of hypoxic bottom water documented in actual NOAA
measurements. Thus, it is misleading for NOAA to characterize the red area in
that image as a "dead zone." The NOAA has also published other misleading and
exaggerated descriptions of the consequences of nutrient loading.


title:
Beam Patterns of the Five-hundred-metre Aperture Spherical Telescope:
  Optimisation

abstract:
  The Five-hundred-metre Aperture Spherical Telescope (FAST) uses adaptive
spherical panels to achieve a huge collecting area for radio waves. In this
paper, we try to explore the optimal parameters for the curvature radius of
spherical panels and the focal distance by comparison of the calculated beam
patterns. We show that to get the best beam shape and maximum gain, the optimal
curvature radius of panels is around 300 m, and a small shift in the focal
distance of a few cm is needed. The aperture efficiency can be improved by ~10%
at 3 GHz by this small shift. We also try to optimise the panel positioning for
the best beam, and find that panel shifts of a few mm can improve the beam
pattern by a similar extent. Our results indicate that accurate control of the
feed and panel positions to the mm level is very crucial for the stability of
FAST's observational performance.


title:
A Variational Approximations-DIC Rubric for Parameter Estimation and
  Mixture Model Selection Within a Family Setting

abstract:
  Mixture model-based clustering has become an increasingly popular data
analysis technique since its introduction over fifty years ago, and is now
commonly utilized within a family setting. Families of mixture models arise
when the component parameters, usually the component covariance (or scale)
matrices, are decomposed and a number of constraints are imposed. Within the
family setting, model selection involves choosing the member of the family,
i.e., the appropriate covariance structure, in addition to the number of
mixture components. To date, the Bayesian information criterion (BIC) has
proved most effective for model selection, and the expectation-maximization
(EM) algorithm is usually used for parameter estimation. In fact, this EM-BIC
rubric has virtually monopolized the literature on families of mixture models.
Deviating from this rubric, variational Bayes approximations are developed for
parameter estimation and the deviance information criterion for model
selection. The variational Bayes approach provides an alternate framework for
parameter estimation by constructing a tight lower bound on the complex
marginal likelihood and maximizing this lower bound by minimizing the
associated Kullback-Leibler divergence. This approach is taken on the most
commonly used family of Gaussian mixture models, and real and simulated data
are used to compare the new approach to the EM-BIC rubric.


title:
Fault-Tolerant Control Allocation: an Unknown Input Observer based
  approach

abstract:
  This paper focuses on the use of unknown input observers for detection and
isolation of actuator and effector faults with control reconfiguration in
overactuated systems. The control allocation actively uses input redundancy in
order to make relevant faults observable. The case study of an overactuated
marine vessel supports theoretical developments.


title:
Coupling motion of colloidal particles in quasi-two-dimensional
  confinement

abstract:
  Brownian motion of colloidal particles in the quasi-two-dimensional (qTD)
confinement displays distinct kinetic characters from that in bulk. Here we
experimentally report a dynamic evolution of Brownian particles in the qTD
system. The dynamic system displays a quasi-equilibrium state of colloidal
particles performing Brownian motion. In the quasi-equilibrium process, the qTD
confinement results in the coupling of particle motions, which slowly dampens
the motion and interaction of particles until the final equilibrium state
reaches. The theory is developed to explain coupling motions of Brownian
particles in the qTD confinement.


title: A partition inequality involving products of two $q$-Pochhammer symbols

abstract:
  We use an injection method to prove a new class of partition inequalities
involving certain $q$-products with two to four finitization parameters. Our
new theorems are a substantial generalization of work by Andrews and of
previous work by Berkovich and Grizzell. We also briefly discuss how our
products might relate to lecture hall partitions.


title: Remarks on free mutual information and orbital free entropy

abstract:
  The present notes provide a proof of
$i^*(\mathbb{C}P+\mathbb{C}(I-P)\,;\mathbb{C}Q+\mathbb{C}(I-Q)) =
-\chi_\mathrm{orb}(P,Q)$ for any pair of projections $P,Q$ with
$\tau(P)=\tau(Q)=1/2$. The proof includes new extra observations, such as a
subordination result in terms of Loewner equations. A study of the general case
is also given.


title: An Intrinsic Advantage of Sexual Reproduction

abstract:
  The prevalence of sexual reproduction ("sex") in eukaryotes is an enigma of
evolutionary biology. Sex increases genetic variation only tells its long-term
superiority in essence. The accumulation of harmful mutations causes an
immediate and ubiquitous pressure for organisms. Contrary to the common sense,
our theoretical model suggests that reproductive rate can influence
initiatively the accumulation of harmful mutations. The interaction of
reproductive rate and the integrated harm of mutations causes a critical
reproductive rate R*. A population will become irreversibly extinct once the
reproductive rate reduces to lower than R*. A sexual population has a R* lower
than 1 and an asexual population has a R* higher than 1. The mean reproductive
rate of a population reached to the carrying capacity has to reduce to 1. That
explains the widespread sex as well as the persistence of facultative and
asexual organisms. Computer simulations support significantly our conclusion.


title:
Low-Rank Separated Representation Surrogates of High-Dimensional
  Stochastic Functions: Application in Bayesian Inference

abstract:
  This study introduces a non-intrusive approach in the context of low-rank
separated representation to construct a surrogate of high-dimensional
stochastic functions, e.g., PDEs/ODEs, in order to decrease the computational
cost of Markov Chain Monte Carlo simulations in Bayesian inference. The
surrogate model is constructed via a regularized alternative least-square
regression with Tikhonov regularization using a roughening matrix computing the
gradient of the solution, in conjunction with a perturbation-based error
indicator to detect optimal model complexities. The model approximates a vector
of a continuous solution at discrete values of a physical variable. The
required number of random realizations to achieve a successful approximation
linearly depends on the function dimensionality. The computational cost of the
model construction is quadratic in the number of random inputs, which
potentially tackles the curse of dimensionality in high-dimensional stochastic
functions. Furthermore, this vector valued separated representation-based
model, in comparison to the available scalar-valued case, leads to a
significant reduction in the cost of approximation by an order of magnitude
equal to the vector size. The performance of the method is studied through its
application to three numerical examples including a 41-dimensional elliptic PDE
and a 21-dimensional cavity flow.


title:
An application of Cohn's rule to convolutions of univalent harmonic
  mappings

abstract:
  Dorff et al. [4], proved that the harmonic convolution of right half-plane
mapping with dilatation -z and mapping f_\beta = h_\beta + \bar{g}_\beta, where
f_\beta is obtained by shearing of analytic vertical strip mapping, with
dilatation e^{i\theta}z^n; n = 1,2,\theta \in R, is in S_H^0 and is convex in
the direction of the real axis. In this paper, by using Cohn's rule, we
generalize this result by considering dilatations (a-z)/(1-az), a\in (-1,1) and
e^{i\theta} z^n (n\in N;\theta\in R) of right half-plane mapping and f_\beta,
respectively.


title: LSS-GAC - A LAMOST Spectroscopic Survey of the Galactic Anti-center

abstract:
  As a major component of the LAMOST Galactic surveys, the LAMOST Spectroscopic
Survey of the Galactic Anti-center (LSS-GAC) will survey a significant volume
of the Galactic thin/thick disks and halo in a contiguous sky area of ~
3,400sq.deg., centered on the Galactic anti-center (|b| <= 30{\deg}, 150 <= l
<= 210{\deg}), and obtain \lambda\lambda 3800--9000 low resolution (R ~ 1,800)
spectra for a statistically complete sample of >= 3M stars of all colors,
uniformly and randomly selected from (r, g - r) and (r, r - i) Hess diagrams
obtained from a CCD imaging photometric survey of ~ 5,400sq.deg. with the Xuyi
1.04/1.20 m Schmidt Telescope, ranging from r = 14.0 to a limiting magnitude of
r = 17.8 (18.5 for limited fields). The survey will deliver spectral
classification, radial velocity Vr and stellar parameters (effective
temperature Teff, surface gravity log g and metallicity [Fe/H]) for millions of
Galactic stars. Together with Gaia which will provide accurate distances and
tangential velocities for a billion stars, the LSS-GAC will yield a unique
dataset to study the stellar populations, chemical composition, kinematics and
structure of the disks and their interface with the halo, identify streams of
debris of tidally disrupted dwarf galaxies and clusters, probe the
gravitational potential and dark matter distribution, map the 3D distribution
of interstellar dust extinction, search for rare objects (e.g. extremely
metal-poor or hyper-velocity stars), and ultimately advance our understanding
of the assemblage of the Milky Way and other galaxies and the origin of
regularity and diversity of their properties. ... (abridged)


title: Thresholds of Random Quasi-Abelian Codes

abstract:
  For a random quasi-abelian code of rate $r$, it is shown that the GV-bound is
a threshold point: if $r$ is less than the GV-bound at $\delta$, then the
probability of the relative distance of the random code being greater than
$\delta$ is almost 1; whereas, if $r$ is bigger than the GV-bound at $\delta$,
then the probability is almost 0. As a consequence, there exist many
asymptotically good quasi-abelian codes with any parameters attaining the
GV-bound.


title:
The Application of Continuous Wavelet Transform Based Foreground
  Subtraction Method in 21 cm Sky Surveys

abstract:
  We propose a continuous wavelet transform based non-parametric foreground
subtraction method for the detection of redshifted 21 cm signal from the epoch
of reionization. This method works based on the assumption that the foreground
spectra are smooth in frequency domain, while the 21 cm signal spectrum is full
of saw-tooth-like structures, thus their characteristic scales are
significantly different. We can distinguish them in the wavelet coefficient
space easily and perform the foreground subtraction. Compared with the
traditional spectral fitting based method, our method is more tolerant to
complex foregrounds. Furthermore, we also find that when the instrument has
uncorrected response error, our method can also work significantly better than
the spectral fitting based method. Our method can obtain similar results with
the Wp smoothing method, which is also a non-parametric method, but our method
consumes much less computing time.


title:
Applications of generating function method to the symmetry and the
  Kronecker products of SU(n) representations

abstract:
  Using the generating function of SU(n) we find the conjugate state of SU(n)
basis and we find in terms of Gel'fand basis of SU(3(n-1)) the representation
of the invariants of the Kronecker products of SU(n). We find a formula for the
number of the elementary invariants of SU(n). We apply our method to the
coupling of SU(3) and we find a new expression of the isoscalar of Wigner
symbols ($\lambda 10,\lambda 2 \mu 2; \lambda 3 \mu 3$).


title: Hints for families of GRBs improving the Hubble diagram

abstract:
  As soon as their extragalactic origins were established, the hope to make
Gamma - Ray Bursts (GRBs) standardizeable candles to probe the very high - z
universe has opened the search for scaling relations between redshift
independent observable quantities and distance dependent ones. Although some
remarkable success has been achieved, the empirical correlations thus found are
still affected by a significant intrinsic scatter which downgrades the
precision in the inferred GRBs Hubble diagram. We investigate here whether this
scatter may come from fitting together objects belonging to intrinsically
different classes. To this end, we rely on a cladistics analysis to partition
GRBs in homogenous families according to their rest frame properties. Although
the poor statistics prevent us from drawing a definitive answer, we find that
both the intrinsic scatter and the coefficients of the $E_{peak}$\,-\,$E_{iso}$
and $E_{peak}$\,-\,$L$ correlations significantly change depending on which
subsample is fitted. It turns out that the fit to the full sample leads to a
scaling relation which approximately follows the diagonal of the region
delimited by the fits to each homogenous class. We therefore argue that a
preliminary identification of the class a GRB belongs to is necessary in order
to select the right scaling relation to be used in order to not bias the
distance determination and hence the Hubble diagram.


title: RFID Technology Based Attendance Management System

abstract:
  RFID is a nascent technology, deeply rooted by its early developments in
using radar1 as a harbinger of adversary planes during World War II. A plethora
of industries have leveraged the benefits of RFID technology for enhancements
in sectors like military, sports, security, airline, animal farms, healthcare
and other areas. Industry specific key applications of this technology include
vehicle tracking, automated inventory management, animal monitoring, secure
store checkouts, supply chain management, automatic payment, sport timing
technologies, etc. This paper introduces the distinctive components of RFID
technology and focuses on its core competencies: scalability and security. It
will be then supplemented by a detailed synopsis of an investigation conducted
to test the feasibility and practicality of RFID technology.


title:
A minimal generating set of the level 2 mapping class group of a
  non-orientable surface

abstract:
  We construct a minimal generating set of the level 2 mapping class group of a
nonorientable surface of genus $g$, and determine its abelianization for
$g\ge4$.


title:
Patterns in the occupational mobility network of the higher education
  graduates. Comparative study in 12 EU countries

abstract:
  The article investigates the properties of the occupational mobility network
(OMN) in 12 EU countries. Using REFLEX database we construct for each country
an empirical OMN that reflects the job movements of the university graduates,
during the first five years after graduation (1999 - 2005). The nodes are
represented by the occupations coded at 3 digits according to ISCO-88 and the
links are weighted with the number of graduates switching from one occupation
to another. We construct the networks as weighted and directed. This
comparative study allows us to see what are the common patterns in the OMN over
different EU labor markets.


title: Proton periphery activated by multiparticle dynamics

abstract:
  It is shown that protons become more active at the periphery with increase of
their collision energy. By computing the impact parameter distribution of the
proton-proton overlap function at LHC energies and comparing it with ISR (and
S$p\bar p$S for $p\bar p$) data, we conclude that the peripheral region of
protons plays an increasing role in the rise of total cross sections through
multiparticle dynamics. The size of the proton as well as its blackness
increase with energy. The protons become more black both in the central region
and, especially, at the periphery. This effect can be related to the ridge
phenomenon and to the inelastic diffraction processes at LHC energies.


title: High intrinsic energy resolution photon number resolving detectors

abstract:
  Transition Edge Sensors (TESs) are characterized by the intrinsic figure of
merit to resolve both the energy and the statistical distribution of the
incident photons. These properties lead TES devices to become the best single
photon detector for quantum technology experiments. For a TES based on titanium
and gold has been reached, at telecommunication wavelength, an unprecedented
intrinsic energy resolution (0.113 eV). The uncertainties analysis of both
energy resolution and photon state assignment has been discussed. The thermal
properties of the superconductive device have been studied by fitting the bias
curve to evaluate theoretical limit of the energy resolution.


title: A Second-Order Method for Strongly Convex L1-Regularization Problems

abstract:
  In this paper a robust second-order method is developed for the solution of
strongly convex l1-regularized problems. The main aim is to make the proposed
method as inexpensive as possible, while even difficult problems can be
efficiently solved. The proposed approach is a primal-dual Newton Conjugate
Gradients (pdNCG) method. Convergence properties of pdNCG are studied and
worst-case iteration complexity is established. Numerical results are presented
on synthetic sparse least-squares problems and real world machine learning
problems.


title:
Latest constraint on non-standard top-gluon couplings at hadron
  colliders and its future prospect

abstract:
  Constraints on the non-standard top-gluon couplings composed of the
chromomagnetic- and chromoelectric-dipole moments of the top quark are updated
by combining the latest data of top-pair productions from the Tevatron, 7-TeV
LHC, and 8-TeV LHC. We find that adding the recent 8-TeV data to the analysis
is effective to get a stronger constraint on the chromoelectric-dipole moment
than the one from the Tevatron and 7-TeV LHC alone. We also discuss how those
constraints on the non-standard couplings could be further improved when 14-TeV
LHC results become available in the near future.


title: Topological Graph Inverse Semigroups

abstract:
  To every directed graph $E$ one can associate a \emph{graph inverse
semigroup} $G(E)$, where elements roughly correspond to possible paths in $E$.
These semigroups generalize polycylic monoids, and they arise in the study of
Leavitt path algebras, Cohn path algebras, Cuntz-Krieger $C^*$-algebras, and
Toeplitz $C^*$-algebras. We investigate topologies that turn $G(E)$ into a
topological semigroup. For instance, we show that in any such topology that is
Hausdorff, $G(E)\setminus \{0\}$ must be discrete for any directed graph $E$.
On the other hand, $G(E)$ need not be discrete in a Hausdorff semigroup
topology, and for certain graphs $E$, $G(E)$ admits a $T_1$ semigroup topology
in which $G(E)\setminus \{0\}$ is not discrete. We also describe, in various
situations, the algebraic structure and possible cardinality of the closure of
$G(E)$ in larger topological semigroups.


title: SN 2007uy - metamorphosis of an aspheric Type Ib explosion

abstract:
  The supernovae of Type Ibc are rare and the detailed characteristics of these
explosions have been studied only for a few events. Unlike Type II SNe, the
progenitors of Type Ibc have never been detected in pre-explosion images. So,
to understand the nature of their progenitors and the characteristics of the
explosions, investigation of proximate events are necessary. Here we present
the results of multi-wavelength observations of Type Ib SN 2007uy in the nearby
($\sim$ 29.5 Mpc) galaxy NGC 2770. Analysis of the photometric observations
revealed this explosion as an energetic event with peak absolute R band
magnitude $-18.5\pm0.16$, which is about one mag brighter than the mean value
($-17.6\pm0.6$) derived for well observed Type Ibc events. The SN is highly
extinguished, E(B-V) = 0.63$\pm$0.15 mag, mainly due to foreground material
present in the host galaxy. From optical light curve modeling we determine that
about 0.3 M$_{\odot}$ radioactive $^{56}$Ni is produced and roughly 4.4
M$_{\odot}$ material is ejected during this explosion with liberated energy
$\sim 15\times10^{51}$ erg, indicating the event to be an energetic one.
Through optical spectroscopy, we have noticed a clear aspheric evolution of
several line forming regions, but no dependency of asymmetry is seen on the
distribution of $^{56}$Ni inside the ejecta. The SN shock interaction with the
circumburst material is clearly noticeable in radio follow-up, presenting a
Synchrotron Self Absorption (SSA) dominated light curve with a contribution of
Free Free Absorption (FFA) during the early phases. Assuming a WR star, with
wind velocity $\ga 10^3 {\rm km s}^{-1}$, as a progenitor, we derive a lower
limit to the mass loss rate inferred from the radio data as $\dot{M} \ga
2.4\times10^{-5}$ M$_{\odot}$, yr$^{-1}$, which is consistent with the results
obtained for other Type Ibc SNe bright at radio frequencies.


title:
P-HGRMS: A Parallel Hypergraph Based Root Mean Square Algorithm for
  Image Denoising

abstract:
  This paper presents a parallel Salt and Pepper (SP) noise removal algorithm
in a grey level digital image based on the Hypergraph Based Root Mean Square
(HGRMS) approach. HGRMS is generic algorithm for identifying noisy pixels in
any digital image using a two level hierarchical serial approach. However, for
SP noise removal, we reduce this algorithm to a parallel model by introducing a
cardinality matrix and an iteration factor, k, which helps us reduce the
dependencies in the existing approach. We also observe that the performance of
the serial implementation is better on smaller images, but once the threshold
is achieved in terms of image resolution, its computational complexity
increases drastically. We test P-HGRMS using standard images from the Berkeley
Segmentation dataset on NVIDIAs Compute Unified Device Architecture (CUDA) for
noise identification and attenuation. We also compare the noise removal
efficiency of the proposed algorithm using Peak Signal to Noise Ratio (PSNR) to
the existing approach. P-HGRMS maintains the noise removal efficiency and
outperforms its sequential counterpart by 6 to 18 times (6x - 18x) in
computational efficiency.


title: Boundary-to-boundary flows in planar graphs

abstract:
  We give an iterative algorithm for finding the maximum flow between a set of
sources and sinks that lie on the boundary of a planar graph. Our algorithm
uses only O(n) queries to simple data structures, achieving an O(n log n)
running time that we expect to be practical given the use of simple primitives.
The only existing algorithm for this problem uses divide and conquer and, in
order to achieve an O(n log n) running time, requires the use of the
(complicated) linear-time shortest-paths algorithm for planar graphs.


title:
Estimation of harmonic component in regression with cyclically dependent
  errors

abstract:
  This paper deals with the estimation of hidden periodicities in a non-linear
regression model with stationary noise displaying cyclical dependence.
Consistency and asymptotic normality are established for the least-squares
estimates.


title: Composite Likelihood Inference by Nonparametric Saddlepoint Tests

abstract:
  The class of composite likelihood functions provides a flexible and powerful
toolkit to carry out approximate inference for complex statistical models when
the full likelihood is either impossible to specify or unfeasible to compute.
However, the strenght of the composite likelihood approach is dimmed when
considering hypothesis testing about a multidimensional parameter because the
finite sample behavior of likelihood ratio, Wald, and score-type test
statistics is tied to the Godambe information matrix. Consequently inaccurate
estimates of the Godambe information translate in inaccurate p-values. In this
paper it is shown how accurate inference can be obtained by using a fully
nonparametric saddlepoint test statistic derived from the composite score
functions. The proposed statistic is asymptotically chi-square distributed up
to a relative error of second order and does not depend on the Godambe
information. The validity of the method is demonstrated through simulation
studies.


title:
Characterising gravitational wave stochastic background anisotropy with
  Pulsar Timing Arrays

abstract:
  Detecting a stochastic gravitational wave background, particularly radiation
from individually unresolvable super-massive black hole binary systems, is one
of the primary targets for Pulsar Timing Arrays. Increasingly more stringent
upper limits are being set on these signals under the assumption that the
background radiation is isotropic. However, some level of anisotropy may be
present and the characterisation of the power at different angular scales
carries important information. We show that the standard analysis for isotropic
backgrounds can be generalised in a conceptually straightforward way to the
case of generic anisotropic background radiation by decomposing the angular
distribution of the gravitational wave power on the sky into multipole moments.
We introduce the concept of generalised overlap reduction functions which
characterise the effect of the anisotropy multipoles on the correlation of the
timing residuals from the pulsars timed by a Pulsar Timing Array. In a search
for a signal characterised by a generic anisotropy, the generalised overlap
reduction functions play the role of the so-called Hellings and Downs curve
used for isotropic radiation. We compute the generalised overlap reduction
functions for a generic level of anisotropy and Pulsar Timing Array
configuration. We also provide an order of magnitude estimate of the level of
anisotropy that can be expected in the background generated by super-massive
black hole binary systems.


title:
Searching For Anisotropic Gravitational-wave Backgrounds Using Pulsar
  Timing Arrays

abstract:
  We present the results of simulated injections testing the first Bayesian
search-pipeline capable of investigating the angular-structure of a
gravitational-wave (GW) background influencing pulsar signals. A stochastic
background of GWs from the incoherent superposition of many inspiraling
supermassive black hole binaries at nHz frequencies is likely to be the
dominant GW signal detectable by pulsar timing arrays (PTAs). Even though one
might expect a background composed of a high-redshift cosmological population
of sources to be fairly isotropic, deviations from isotropy may be indicative
of local GW hotspots or some form of continuous anisotropy in the
angular-distribution of GW-power. A GWB induces time-of-arrival deviations in
pulsar signals which are correlated between separated pulsars. In an isotropic
background this cross-correlation follows a distinctive relationship, known as
the Hellings and Downs curve, that depends only on the angular separation of
the pulsars. If the background is anisotropic, the cross-correlation is
different, but predictable, and also depends on the absolute position of the
pulsars. By simulating datasets containing GWBs with various anisotropic
configurations, we have explored the prospects for constraining anisotropy
using near future data. We find that at moderate to high signal to noise ratio
the assumption of isotropy is no longer an appropriate description of the
simulated background. Furthermore, we can recover the nature of the injected
anisotropy in a Bayesian parameter-estimation search, and propose a prior on
the anisotropy search-space motivated by the physicality of the implied
distribution of sources.


title: The macroscopic monopolization in diagonal magnetoelectrics

abstract:
  We develop the formalism of the macroscopic monopolization -- that is the
monopole moment per unit volume -- in periodic solids, and discuss its
relationship to the diagonal magnetoelectric effect. For the series of lithium
transition metal phosphate compounds we use first-principles density functional
theory to calculate the contributions to the macroscopic monopolization from
the global distribution of magnetic moments within the unit cell, as well as
from the distribution of magnetization around the atomic sites. We find one
example within the series (LiMnPO$_4$) that shows a macroscopic monopolization
corresponding to a ferromonopolar ordering consistent with its diagonal
magnetoelectric response. The other members of the series (LiMPO$_4$, with M =
Co, Fe and Ni) have zero net monopolization but have antiferromonopolar
orderings that should lead to $q$-dependent diagonal magnetoelectric effects


title:
Fractional hopping-type motion in columnar mesophase of semi-flexible
  rod-like particles

abstract:
  We report on single-particle dynamics of strongly interacting filamentous fd
virus particles in the liquid-crystalline columnar state in aqueous solution.
From fluorescence microscopy we find that rare, discrete events take place, in
which individual particles engage in sudden, jump-like motion along the main
rod axis. The jump length distribution is bimodal and centered at half and full
particle lengths. Our Brownian dynamics simulations of hard semi-flexible
particles mimic our experiments, and indicate that full-length jumps must be
due to collective dynamics in which particles move in string-like fashion in
and between neighboring columns, while half jumps arise as a result of
particles moving into defects. We find that the finite domain structure of the
columnar phase strongly influences the observed dynamics.


title:
Orientational order of carbon nanotube guests in a nematic host
  suspension of colloidal viral rods

abstract:
  In order to investigate the coupling between the degrees of alignment of
elongated particles in binary nematic dispersions, surfactant stabilized
single-wall carbon nanotubes (CNTs) have been added to nematic suspensions of
colloidal rodlike viruses in aqueous solution.We have independently measured
the orientational order parameter of both components of the guest-host system
by means of polarized Raman spectroscopy and by optical birefringence,
respectively. Our system allows us therefore to probe the regime where the
guest particles (CNTs) are shorter and thinner than the fd virus host
particles. We show that the degree of order of the CNTs is systematically
smaller than that of the fd virus particles for the whole nematic range. These
measurements are in good agreement with predictions of an Onsager-type
second-viral theory, which explicitly includes the flexibility of the virus
particles, and the polydispersity of the CNTs.


title: Many forcing axioms for all regular uncountable cardinals

abstract:
  Our original aim was, in Abelian group theory to prove the consistency of:
lambda is strong limit singular and for some properties of abelian groups which
are relatives of being free, the compactness in singular fails. In fact this
should work for R-modules, etc. As in earlier cases part of the work is
analyzing how to move between the set theory and the algebra.
  Set theoretically we try to force a universe which satisfies G.C.H. and
diamond holds for many stationary sets but, for every regular uncountable
lambda, in some sense anything which "may" hold for some stationary set, does
hold for some stationary set. More specifically we try to get a universe
satisfying GCH such that e.g. for regular kappa < lambda there are pairs (S,B),
S \subseteq S^\lambda_\kappa stationary, B \subseteq H (lambda), which
satisfies some pregiven forcing axiom related to (S,B), (so (lambda\
S)-complete, i.e. "trivial outside S) but no more, i.e. slightly stronger
versions fail. So set theoretically we try to get a universe satisfying G.C.H.
but still satisfies "many", even for a maximal family in some sense, of forcing
axioms of the form "for some stationary" while preserving GCH. As completion of
the work lagged for a while, here we deal only with the set theory.


title:
Proton Radiation Damage Experiment on P-Channel CCD for an X-ray CCD
  camera onboard the Astro-H satellite

abstract:
  We report on a proton radiation damage experiment on P-channel CCD newly
developed for an X-ray CCD camera onboard the Astro-H satellite. The device was
exposed up to 10^9 protons cm^{-2} at 6.7 MeV. The charge transfer inefficiency
(CTI) was measured as a function of radiation dose. In comparison with the CTI
currently measured in the CCD camera onboard the Suzaku satellite for 6 years,
we confirmed that the new type of P-channel CCD is radiation tolerant enough
for space use. We also confirmed that a charge-injection technique and lowering
the operating temperature efficiently work to reduce the CTI for our device. A
comparison with other P-channel CCD experiments is also discussed.


title: Spurious Modes in Dirac Calculations and How to Avoid Them

abstract:
  In this paper we consider the problem of the occurrence of spurious modes
when computing the eigenvalues of Dirac operators, with the motivation to
describe relativistic electrons in an atom or a molecule. We present recent
mathematical results which we illustrate by simple numerical experiments. We
also discuss open problems.

categories: math-ph math.MP math.NA physics.atom-ph quant-ph


title:
Randall-Sundrum model with a small curvature and dielectron production
  at the LHC

abstract:
  In the framework Randall-Sundrum-like scenario with the small curvature kappa
(RSSC model), p_t-distributions for the dielectron production at the LHC are
calculated. For the summary statistics taken at 7 TeV (L = 5 fb-1) and 8 TeV (L
= 20 fb-1), the exclusion limit on the 5-dimensional gravity scale M_5 is found
to be 6.35 TeV at 95% C.L. For sqrt(s) = 13 TeV and integrated luminosity 30
fb-1, the LHC search limit is estimated to be 8.95 TeV. These limits on M_5 are
independent of kappa, provided the relation kappa << M_5 is satisfied.


title: On Rystov's generalization of the \v{C}ern\'y Conjecture

abstract:
  We resolve a conjecture of Rystov concerning products of matrices, that
generalizes the \v{C}ern\'y Conjecture.


title: A general existence result for the Toda system on compact surfaces

abstract:
  In this paper we consider the Toda system of equations on a compact surface,
which is motivated by the study of models in non-abelian Chern-Simons theory.
We prove a general existence result using variational methods. The same
analysis applies to a mean field equation which arises in fluid dynamics.


title:
A line confusion-limited millimeter survey of Orion KL. III. Sulfur
  oxide species

abstract:
  We present a study of the sulfur-bearing species detected in a line
confusion-limited survey towards Orion KL performed with the IRAM 30m telescope
in the range 80-281 GHz. The study is part of an analysis of the line survey
divided into families of molecules. Our aim is to derive accurate physical
conditions and molecular abundances in the different components of Orion KL
from observed SO and SO2 lines. First we assumed LTE conditions obtain
rotational temperatures. We then used a radiative transfer model, assuming
either LVG or LTE excitation to derive column densities of these molecules in
the different components of Orion KL. We have detected 68 lines of SO, 34SO,
33SO, and S18O and 653 lines of SO2, 34SO2, 33SO2, SO18O and SO2 v2=1. We
provide column densities for all of them and also upper limits for the column
densities of S17O, 36SO, 34S18O, SO17O and 34SO2 v2=1 and for several
undetected sulfur-bearing species. In addition, we present 2'x2' maps around
Orion IRc2 of SO2 transitions with energies from 19 to 131 K and also maps with
four transitions of SO, 34SO and 34SO2. We observe an elongation of the gas
along the NE-SW direction. An unexpected emission peak appears at 20.5 km/s in
most lines of SO and SO2. A study of the spatial distribution of this emission
feature shows that it is a new component ~5" in diameter, which lies ~4" west
of IRc2. We suggest the emission from this feature is related to shocks
associated to the BN object. The highest column densities for SO and SO2 are
found in the high-velocity plateau (a region dominated by shocks) and in the
hot core. These values are up to three orders of magnitude higher than the
results for the ridge components. We also find high column densities for their
isotopologues in both components. Therefore, we conclude that SO and SO2 are
good tracers, not only of regions affected by shocks, but also of regions with
warm dense gas.


title: One-Sided Error QMA with Shared EPR Pairs -- A Simpler Proof

abstract:
  We give a simpler proof of one of the results of Kobayashi, Le Gall, and
Nishimura [arXiv:1210.1290v2], which shows that any QMA protocol can be
converted to a one-sided error protocol, in which Arthur and Merlin initially
share a constant number of EPR pairs and then Merlin sends his proof to Arthur.
Our protocol is similar but somewhat simpler than the original. Our main
contribution is a simpler and more direct analysis of the soundness property
that uses well-known results in quantum information such as properties of the
trace distance and the fidelity, and the quantum de Finetti theorem.


title: Photometric study of five open star clusters

abstract:
  $UBVRI$ photometry of the five open clusters Czernik 4, Berkeley 7, NGC 2236,
NGC 7226 and King 12 has been carried out using ARIES 104 cm telescope,
Nainital. Fundamental cluster parameters such as foreground reddening $E(B-V)$,
distance, and age have been derived by means of the observed two colour and
colour-magnitude diagrams, coupled to comparisons with theoretical models.
$E(B-V)$ values range from 0.55 to 0.74 mag, while ages derived for these
clusters range from $\sim$10 to $\sim$500 Myr. We have also studied the spatial
structure, mass function and mass segregation effects. The present study shows
that evaporation of low mass stars from the halo of the clusters increases as
they evolve.


title: Synchronized clocks and time on a rotating disc

abstract:
  Basic for the definition of 'time' are clocks operating under stationary
conditions. The periods of two clocks can be compared with each other via two
return experiments. The central clock mediates between the rotating and the
inertial frame. Dimensional arguments and a detailed deduction show that the
period of a rotating clock, measured externally in the inertial system, is the
same as the internally defined one. There is a common synchron-time, especially
'absolute' simultaneity and invariance of flight times hold. This allows a new
discussion of the twin problem. The invariance of a rotating circle allows the
transference of the inertial polar coordinates to the rotating plane. The
flight time of a light pulse obeys a generalized Fermat's principle. If rays
are well defined, this time of flight determines the phase shift of the wave
and the result of interference experiments. All general considerations and
proofs are independent of the relativity theory, especially of the concept of
local inertial systems and differential-geometrical techniques.


title: Black holes, TeV-scale gravity and the LHC

abstract:
  Over the past 15 years models with large extra space-time dimensions have
been extensively studied. We have learned from these models that the energy
scale of quantum gravity may be many orders of magnitude smaller than the
conventional value of 10^19 GeV. This raises the tantalizing prospect of
probing quantum gravity effects at the LHC. Of the possible quantum gravity
processes at the LHC, the formation and subsequent evaporation of microscopic
black holes is one of the most spectacular. We give an overview of some of the
fundamental ideas of the large extra dimensions scenarios and the resulting
black hole processes at the LHC.


title: The Perils of Analytic Continuation

abstract:
  A nice paper by Morrison demonstrates the recent convergence of opinion that
has taken place concerning the graviton propagator on de Sitter background. We
here discuss the few points which remain under dispute. First, the inevitable
decay of tachyonic scalars really does result in their 2-point functions
breaking de Sitter invariance. This is obscured by analytic continuation
techniques which produce formal solutions to the propagator equation that are
not propagators. Second, Morrison's de Sitter invariant solution for the spin
two sector of the graviton propagator involves derivatives of the scalar
propagator at $M^2 = 0$, where it is not meromorphic unless de Sitter breaking
is permitted. Third, de Sitter breaking does not require zero modes. Fourth,
the ambiguity Morrison claims in the equation for the spin two structure
function is fixed by requiring it to derive from a mode sum. Fifth, Morrison's
spin two sector is not "physically equivalent" to ours because their
coincidence limits differ. Finally, it is only the noninvariant propagator that
gets the time independence and scale invariance of the tensor power spectrum
correctly.


title: Investigation of Nuclear Phase transition with using Landau Theory

abstract:
  In this paper, Landau theory for phase transitions is shown to be a useful
approach also for quantal system such as atomic nucleus. A detailed analysis of
critical exponents of ground state quantum phase transition between and limits
of interacting boson model is presented.


title:
Electronically Tunable Voltage-Mode Biquad Filter/Oscillator Based On
  CCCCTAs

abstract:
  In this paper, a circuit employing current controlled current conveyor
trans-conductance amplifiers (CCCCTAs) as active element is proposed which can
function both as biquad filter and oscillator. It uses two CCCCTAs and two
capacitors. As a biquad filter it can realizes all the standard filtering
functions (low pass, band pass, high pass, band reject and all pass) in
voltage-mode and provides the feature of electronically and orthogonal control
of pole frequency and quality factor through biasing current(s) of CCCCTAs. The
proposed circuit can also be worked as oscillator without changing the circuit
topology. Without any resistors and using capacitors, the proposed circuit is
suitable for IC fabrication. The validity of proposed filter is verified
through PSPICE simulations.


title: Summary of the Workshop on Multi-Parton Interactions (MPI@LHC 2012)

abstract:
  With short resumes and highlights the discussions in the different working
groups of the workshop MPI@LHC 2012 is documented.


title:
Empirical relationship between x-ray photoemission spectra and
  electrical conductivity in a colossal magnetoresistive manganite
  La_{1-x}Sr_{x}MnO_{3}

abstract:
  By using laboratory x-ray photoemission spectroscopy (XPS) and hard x-ray
photoemission spectroscopy (HX-PES) at a synchrotron facility, we report an
empirical semi-quantitative relationship between the valence/core-level x-ray
photoemission spectral weight and electrical conductivity in
La_{1-x}Sr_{x}MnO_{3} as a function of x. In the Mn 2p_{3/2} HX-PES spectra, we
observed the shoulder structure due to the Mn^{3+} well-screened state.
However, the intensity at x=0.8 was too small to explain its higher electrical
conductivity than x=0.0, which confirms our recent analysis on the Mn 2p_{3/2}
XPS spectra. The near-Fermi level XPS spectral weight was found to be a measure
of the variation of electrical conductivity with x in spite of a far lower
energy resolution compared with the energy scale of the quasiparticle
(coherent) peak because of the concurrent change of the coherent and incoherent
spectral weight.


title: The Euler-Riemann Gases, and Partition Identities

abstract:
  The Euler theorem in partition theory and its generalization are derived from
a non-interacting quantum field theory in which each bosonic mode with a given
frequency is equivalent to a sum of bosonic mode whose frequency is twice
($s$-times) as much, and a fermionic (parafermionic) mode with the same
frequency. Explicit formulas for the graded parafermionic partition functions
are obtained, and the inverse of the graded partition function (IGPPF), turns
out to be bosonic (fermionic) partition function depending on the parity of the
order $s$ of the parafermions. It is also shown that these partition functions
are generating functions of partitions of integers with restrictions. If the
parity of the order $s$ is even, then mixing a system of parafermions with a
system whose partition function is (IGPPF), results in a system of fermions and
bosons. On the other hand, if the parity of $s$ is odd, then, the system we
obtain is still a mixture of fermions and bosons but the corresponding Fock
space of states is truncated. It turns out that these partition functions are
given in terms of the Jacobi theta function $\theta_{4}$, and generate
sequences in partition theory. Our partition functions coincide with the
overpartitions, and jagged partitions in conformal field theory. Also, The
partition functions obtained are related to the Ramond characters of the
superconformal minimal models, and in the counting of the Moore-Read edge
spectra that appear in the fractional quantum Hall effect. The different
partition functions for the Riemann gas that are the counter parts of the Euler
gas are obtained by a simple change of variables. In particular the counter
part of the Jacobi Theta function is $\frac{\zeta(2t)}{\zeta(t)^2}$.


title: Pairing Effect on Spectral Statistics of Even and Odd Mass Nuclei

abstract:
  The interplay of pairing is explored for the spectral statistics of nuclear
systems with emphasis on the nearest neighbor spacing distributions by
employing the kernel density and maximum likelihood estimation techniques.
Different sequences prepared by all the available empirical data for low-lying
energy levels of even and odd-mass nuclei in the 34 < A < 206 mass region. A
deviation to more regular dynamics is apparent for even-mass nuclei in compare
to odd-mass ones, and there are suggestions of effects due to unclosed proton
shells on more chaotic dynamics.


title: Monte Carlo for estimating exponential convolution

abstract:
  In this note we study the numerical stability problem that may take place
when calculating the cumulative distribution function of the {\it
Hypoexponential} random variable. This computation is extensively used during
the execution of Monte Carlo network reliability estimation algorithms. In
spite of the fact that analytical formulas are available, they can be unstable
in practice. This instability occurs frequently when estimating very small
failure probabilities $(10^{-30}-10^{-40})$ that can happen for example while
estimating the unreliability of telecommunication systems. In order to address
this problem, we propose a simple unbiased estimation algorithm that is capable
of handling a large number of variables. We show that the proposed estimator
has a bounded relative error and that it compares favorably with other existing
methods.


title: Tensor generators on schemes and stacks

abstract:
  We show that an algebraic stack with affine stabilizer groups satisfies the
resolution property if and only if it is a quotient of a quasi-affine scheme by
the action of the general linear group, or equivalently, if there exists a
vector bundle whose associated frame bundle has quasi-affine total space. This
generalizes a result of B. Totaro to non-normal and non-noetherian schemes and
algebraic stacks. Also, we show that the vector bundle induces such a quotient
structure if and only if it is a tensor generator in the category of
quasi-coherent sheaves.


title: K-theory of minuscule varieties

abstract:
  Based on Thomas and Yong's K-theoretic jeu de taquin algorithm, we prove a
uniform Littlewood-Richardson rule for the K-theoretic Schubert structure
constants of all minuscule homogeneous spaces. Our formula is new in all types.
For the main examples of Grassmannians of type A and maximal orthogonal
Grassmannians it has the advantage that the tableaux to be counted can be
recognized without reference to the jeu de taquin algorithm.


title: Resummation of clustering logarithms for non-global QCD observables

abstract:
  We address the problem of resumming leading clustering logs in QCD jet
observables defined using the k_t, CA and SISCone algorithms. We specifically
choose the jet mass distribution as an example and calculate up to
order(alpha_s^4) clustering-log terms in the series expansion at single-log
accuracy. These terms are found to exhibit a pattern of exponentiation and we
are thus able to perform an all-orders analytical resummation for the
clustering logs. We also numerically calculate the non-global logs at large
N_c. We show that our result for the resummation of clustering logs is a very
good analytical approximation to the numerical result obtained using a
specialised Monte Carlo program.


title:
Strongly Summable Ultrafilters, Union Ultrafilters, and the Trivial Sums
  Property

abstract:
  We answer two questions of Hindman, Stepr\=ans and Strauss, namely we prove
that every strongly summable ultrafilter on an abelian group is sparse and has
the trivial sums property. Moreover we show that in most cases the sparseness
of the given ultrafilter is a consequence of its being isomorphic to a union
ultrafilter. However, this does not happen in all cases: we also construct
(assuming Martin's Axiom for countable partial orders, i.e.
$\mathrm{cov}(\mathcal M)=\mathfrak c$), on the Boolean group, a strongly
summable ultrafilter that is not additively isomorphic to any union
ultrafilter.


title: Indices of inseparability and refined ramification breaks

abstract:
  Let K be a finite extension of Q_p and let L/K be a totally ramified
(Z/pZ)^2-extension which has a single ramification break b. Byott and Elder
defined a "refined ramification break" b_* for L/K. In this paper we prove that
if p>2 and the index of inseparability i_1 of L/K is not equal to p^2b-pb then
b_*=i_1-p^2b+pb+b.


title: Suppressing phase decoherence of a single atom qubit with CPMG sequence

abstract:
  We experimentally demonstrate the strong suppression of dephasing of a qubit
stored in a single \textsuperscript{87}Rb atom in an optical dipole trap by
using Carr-Purcell-Meiboom-Gill(CPMG) pulse sequences. Regarded as a repetition
of spin echo, CPMG sequence is an optimal choice for suppressing both
inhomogeneous and homogeneous phase decoherence mechanisms. In the trap with
830 nm wavelength and 0.7 mK potential depth, the spin relaxation time of
single atoms is showed to be 830.8 ms. We obtain the reversible inhomogeneous
dephasing time of $T_{2}^{\ast}$=1.4 ms. The homogeneous dephasing time is
$T_{2}^{\prime}$ =102.7 ms in the spin echo process, by employing CPMG sequence
with pulse number n = 6 the homogeneous dephasing is further suppressed by a
factor of 3, and its corresponding coherence time is extended to
$T_{2}^{\prime}$=304.5 ms.


title:
The Fine Classification of Conjunctive Queries and Parameterized
  Logarithmic Space Complexity

abstract:
  We perform a fundamental investigation of the complexity of conjunctive query
evaluation from the perspective of parameterized complexity. We classify sets
of boolean conjunctive queries according to the complexity of this problem.
Previous work showed that a set of conjunctive queries is fixed-parameter
tractable precisely when the set is equivalent to a set of queries having
bounded treewidth. We present a fine classification of query sets up to
parameterized logarithmic space reduction. We show that, in the bounded
treewidth regime, there are three complexity degrees and that the properties
that determine the degree of a query set are bounded pathwidth and bounded tree
depth. We also engage in a study of the two higher degrees via logarithmic
space machine characterizations and complete problems. Our work yields a
significantly richer perspective on the complexity of conjunctive queries and,
at the same time, suggests new avenues of research in parameterized complexity.


title:
Terahertz Magnetoplasmon Energy Concentration and Splitting in Graphene
  PN Junctions

abstract:
  Terahertz plasmons and magnetoplasmons propagating along electrically and
chemically doped graphene p-n junctions are investigated. It is shown that such
junctions support non-reciprocal magnetoplasmonic modes which get concentrated
at the middle of the junction in one direction and split away from the middle
of the junction in the other direction under the application of an external
static magnetic field. This phenomenon follows from the combined effects of
circular birefringence and carrier density non-uniformity. It can be exploited
for the realization of plasmonic isolators.


title: D-meson propagation in hot dense matter

abstract:
  The drag force and diffusion coefficients for a D meson are calculated in hot
dense matter composed of light mesons and baryons, such as it is formed in
heavy-ion collisions. We use a unitarized approach based on effective models
for the interaction of a D meson with hadrons, which are compatible with chiral
and heavy quark symmetries. We study the propagation of the D meson in the
hadron matter in two distinct cases. On the one hand, we analyze the
propagation of D mesons in matter at vanishing baryochemical potential, which
is relevant for high-energetic collisions at LHC or RHIC. On the other hand, we
show the propagation of D mesons in the hadronic medium following isentropic
trajectories, appropiate at FAIR and NICA heavy-ion experiments. We find a
negligible baryon contribution to the transport coefficients at vanishing
chemical potential. However at finite baryochemical potential we obtain a large
correction to the transport coefficients with the inclusion of nucleons and
Delta baryons. The relaxation time for D mesons is reduced a factor 2-3 in the
later case, producing a more thermalized D meson-spectrum for FAIR physics than
for the typical LHC energies. We finally present results for the spatial
diffusion coefficient of a D meson in hadronic matter and the possible
existence of a minimum near the phase transition to the quark-gluon plasma at
zero and finite baryochemical potential.


title: Quantization of Drinfeld Zastava in type C

abstract:
  Drinfeld zastava is a certain closure of the moduli space of maps from the
projective line to the Kashiwara flag scheme of an affine Lie algebra $\hat g$.
In case $g$ is the symplectic Lie algebra $sp_N$, we introduce an affine,
reduced, irreducible, normal quiver variety $Z$ which maps to the zastava space
isomorphically in characteristic 0. The natural Poisson structure on the
zastava space $Z$ can be described in terms of Hamiltonian reduction of a
certain Poisson subvariety of the dual space of a (nonsemisimple) Lie algebra.
The quantum Hamiltonian reduction of the corresponding quotient of its
universal enveloping algebra produces a quantization $Y$ of the coordinate ring
of $Z$. The same quantization was obtained in the finite (as opposed to the
affine) case generically in arXiv:math/0409031 . We prove that $Y$ is a
quotient of the affine Borel Yangian. The analogous results for $g=sl_N$ were
obtained in our previous work arXiv:1009.0676 .


title: On Permutations with Bounded Drop Size

abstract:
  The maximum drop size of a permutation $\pi$ of $[n]=\{1,2,\ldots, n\}$ is
defined to be the maximum value of $i-\pi(i)$. Chung, Claesson, Dukes and
Graham obtained polynomials $P_k(x)$ that can be used to determine the number
of permutations of $[n]$ with $d$ descents and maximum drop size not larger
than $k$. Furthermore, Chung and Graham gave combinatorial interpretations of
the coefficients of $Q_k(x)=x^k P_k(x)$ and
$R_{n,k}(x)=Q_k(x)(1+x+\cdots+x^k)^{n-k}$, and raised the question of finding a
bijective proof of the symmetry property of $R_{n,k}(x)$. In this paper, we
establish a bijection $\varphi$ on $A_{n,k}$, where $A_{n,k}$ is the set of
permutations of $[n]$ and maximum drop size not larger than $k$. The map
$\varphi$ remains to be a bijection between certain subsets of $A_{n,k}$.
%related to the symmetry property. This provides an answer to the question of
Chung and Graham. The second result of this paper is a proof of a conjecture of
Hyatt concerning the unimodality of polynomials in connection with the number
of signed permutations of $[n]$ with $d$ type $B$ descents and the type $B$
maximum drop size not greater than $k$.


title: Explicit Formula for Witten-Kontsevich Tau-Function

abstract: We present an explicit formula for Witten-Kontsevich tau-function.