title:
A Value Region Problem for Continued Fractions and Discrete Dirac
  Equations

abstract:
  Motivated by applications in noncommutative geometry we prove several value
range estimates for even convergents and tails, and odd reverse sequences of
Stieltjes type continued fractions with bounded ratio of consecutive elements,
and show how those estimates control growth of solutions of a system of
discrete Dirac equations.


title:
Temporal Variations And Spectral Properties of Be/X-ray Pulsar GRO
  J1008-57 Studied by INTEGRAL

abstract:
  Spin period variations and hard X-ray spectral properties of Be/X-ray pulsar
GRO J1008-57 are studied with INTEGRAL observations. The pulsation periods at
93.66 s in 2004 and at 93.73 s in 2009 are determined. Pulse profiles of GRO
J1008-57 during outbursts are energy dependent: double-peak profile in soft
bands of 3-7 keV and single-peak profile in hard X-rays above 7 keV. GRO
J1008-57 has undergone a spin-down trend from 1993-2009 with a rate of
4.1x10^-5 s day^-1, and might transfer into a spin-up trend after 2009. The
spectra from 3-100 keV of GRO J1008-57 during outbursts are fitted with photon
index of 1.4 and cutoff energies of 23-29 keV. We find a relatively soft
spectrum in early phase of the 2009 outburst with cutoff energy 13 keV. Above a
hard X-ray flux of 10^-9 erg cm^-2 s^-1, the spectra of GRO J1008-57 during
outbursts need an enhanced hydrogen absorption of column density 6x10^22 cm^-2.
The observed dip-like pulse profile of GRO J1008-57 in soft X-ray bands should
be caused by this intrinsic absorption. Around the outburst peaks, a possible
cyclotron resonance scattering feature at 74 keV is detected in the spectra of
GRO J1008-57, making the source as the neutron star of highest magnetic field
(6.6x10^12 G) in known accreting X-ray pulsars. Two modulations periods at
124.38 and 248.78 days are found using RXTE/ASM light curves of GRO J1008-57.
Two flare peaks appearing in the folded light curve have different spectral
properties. The normal outburst lasting 0.1 orbital phase has a hard spectrum
and cannot be detected below 3 keV. The second flare lasting ten days shows a
very soft spectrum without significant detections above 5 keV. Lack of soft
X-ray emissions in outbursts should be caused by the enhanced hydrogen
absorption near the periastron passage. Soft spectral origins in the second
flares still need further detailed studies with soft X-ray spectroscopies.


title:
Non-analytic behavior of the Casimir force across a Lifshitz transition
  in a spin-orbit coupled material

abstract:
  We propose the Casimir effect as a general method to observe Lifshitz
transitions in electron systems. The concept is demonstrated with a planar
spin-orbit coupled semiconductor in a magnetic field. We calculate the Casimir
force between two such semiconductors and between the semiconductor and a metal
as a function of the Zeeman splitting in the semiconductor. The Zeeman field
causes a Fermi pocket in the semiconductor to form or collapse by tuning the
system through a topological Lifshitz transition. We find that the Casimir
force experiences a kink at the transition point and noticeably different
behaviors on either side of the transition. The simplest experimental
realization of the proposed effect would involve a metal-coated sphere
suspended from a micro-cantilever above a thin layer of InSb (or another
semiconductor with large $g$-factor). Numerical estimates are provided and
indicate that the effect is well within experimental reach.


title:
Problems related to gauge invariance and momentum, spin decomposition in
  nucleon structure study

abstract:
  How do the quark and gluon share the nucleon momentum? How does the nucleon
spin distribute among its constituents? What means the quark and gluon
momentum, spin and orbital angular momentum? These problems are analyzed and a
solution is proposed based on {\it gauge invariance principle, canonical
quantization rule and Poincar$\acute{e}$ covariance}.


title: Multi-dimensional Conversation Analysis across Online Social Networks

abstract:
  With the advance of the Internet, ordinary users have created multiple
personal accounts on online social networks, and interactions among these
social network users have recently been tagged with location information. In
this work, we observe user interactions across two popular online social
networks, Facebook and Twitter, and analyze which factors lead to retweet/like
interactions for tweets/posts. In addition to the named entities, lexical
errors and expressed sentiments in these data items, we also consider the
impact of shared user locations on user interactions. In particular, we show
that geolocations of users can greatly affect which social network post/tweet
will be liked/ retweeted. We believe that the results of our analysis can help
researchers to understand which social network content will have better
visibility.


title: The confidence interval methods in quantum language

abstract:
  Recently we proposed quantum language(or, measurement theory), which is
characterized as the linguistic turn of the Copenhagen interpretation of
quantum mechanics. Also, we consider that this is a kind of system theory such
that it is applicable to both classical and quantum systems. As far as
classical systems, it should be noted that quantum language is similar to
statistics. In this paper, we discuss the usual confidence interval methods in
terms of quantum language. And we assert that three concepts (i.e.,"estimator"
and "quantity" and "semi-distance)are indispensable for the theoretical
understanding of the confidence interval methods. Since our argument is quite
elementary, we hope that the readers acquire a new viewpoint of statistics, and
agree that our proposal is, from the pure theoretical point of view, the true
confidence interval methods.
  (Key words: Confidence interval, Chi-squared distribution, Student's
t-distribution)


title:
Parity violation in radiative emission of neutrino pair from metastable
  states of heavy alkaline earth atoms

abstract:
  Macro-coherent atomic de-excitation involving a neutrino pair emission,
radiative emission of neutrino pair (RENP) $|e\rangle \rightarrow |g\rangle +
\gamma +\nu_i \nu_j$ (with $\gamma$ a photon and $\nu_i$ a neutrino mass
eigenstate), is a new experimental tool to determine undetermined neutrino
parameters such as the smallest neutrino mass and distinction of Majorana and
Dirac neutrinos. The best way to prove that the atomic RENP process accompanied
by unseen neutrino pair involves weak interaction is to measure parity
violating (PV) quantities. We quantitatively study how this is achieved. The
basic mechanism of how a favorable situation for PV may arise from the
fundamental electroweak theory (extended to incorporate finite neutrino masses)
is emphasized and calculation of dependence of PV observables on applied
magnetic field is worked out for heavy target atoms of alkaline earth like
level structure such as Sr, Yb, Hg, Xe. Numerically calculated parity violating
rates and asymmetry are presented for Yb $J=2 \rightarrow 0$ and $J=0
\rightarrow 0$ RENP.


title: ODE/IM correspondence and modified affine Toda field equations

abstract:
  We study the two-dimensional affine Toda field equations for affine Lie
algebra $\hat{\mathfrak{g}}$ modified by a conformal transformation and the
associated linear equations. In the conformal limit, the associated linear
problem reduces to a (pseudo-)differential equation. For classical affine Lie
algebra $\hat{\mathfrak{g}}$, we obtain a (pseudo-)differential equation
corresponding to the Bethe equations for the Langlands dual of the Lie algebra
$\mathfrak{g}$, which were found by Dorey et al. in study of the ODE/IM
correspondence.


title:
Microscopic description of rotation: From ground states to the extremes
  of ultra-high spin

abstract:
  Recent progress in the microscopic description of rotational properties
within covariant density functional theory (CDFT) is presented. It is shown
that it provides an accurate description of rotational bands both in the paired
regime at low spin and in the unpaired regime at ultra-high spins. The
predictive power of CDFT is verified by comparing the CDFT predictions for band
crossing features in the $A\geq 242$ actinides with new experimental data. In
addition, possible role of the Coulomb antipairing effect for proton pairing is
discussed.


title:
Modeling sea-level change using errors-in-variables integrated Gaussian
  processes

abstract:
  We perform Bayesian inference on historical and late Holocene (last 2000
years) rates of sea-level change. The input data to our model are tide-gauge
measurements and proxy reconstructions from cores of coastal sediment. These
data are complicated by multiple sources of uncertainty, some of which arise as
part of the data collection exercise. Notably, the proxy reconstructions
include temporal uncertainty from dating of the sediment core using techniques
such as radiocarbon. The model we propose places a Gaussian process prior on
the rate of sea-level change, which is then integrated and set in an
errors-in-variables framework to take account of age uncertainty. The resulting
model captures the continuous and dynamic evolution of sea-level change with
full consideration of all sources of uncertainty. We demonstrate the
performance of our model using two real (and previously published) example data
sets. The global tide-gauge data set indicates that sea-level rise increased
from a rate with a posterior mean of 1.13 mm$/$yr in 1880 AD (0.89 to 1.28
mm$/$yr 95% credible interval for the posterior mean) to a posterior mean rate
of 1.92 mm$/$yr in 2009 AD (1.84 to 2.03 mm$/$yr 95% credible interval for the
posterior mean). The proxy reconstruction from North Carolina (USA) after
correction for land-level change shows the 2000 AD rate of rise to have a
posterior mean of 2.44 mm$/$yr (1.91 to 3.01 mm$/$yr 95% credible interval).
This is unprecedented in at least the last 2000 years.


title:
$f(T)$ gravity from holographic Ricci dark energy model with new
  boundary conditions

abstract:
  Commonly used boundary conditions in reconstructing $f(T)$ gravity from
holographic Ricci dark energy model (RDE) are found to cause some problem, we
therefore propose new boundary conditions in this paper. By reconstructing
$f(T)$ gravity from the RDE with these new boundary conditions, we show that
the new ones are better than the present commonly used ones since they can give
the physically expected information, which is lost when the commonly used ones
are taken in the reconstruction, of the resulting $f(T)$ theory. Thus, the new
boundary conditions proposed here are more suitable for the reconstruction of
$f(T)$ gravity.


title: Logarithmic Superconformal Minimal Models

abstract:
  The higher fusion level logarithmic minimal models LM(P,P';n) have recently
been constructed as the diagonal GKO cosets (A_1^{(1)})_k oplus (A_1^{(1)})_n /
(A_1^{(1)})_{k+n} where n>0 is an integer fusion level and k=nP/(P'-P)-2 is a
fractional level. For n=1, these are the logarithmic minimal models LM(P,P').
For n>1, we argue that these critical theories are realized on the lattice by n
x n fusion of the n=1 models. For n=2, we call them logarithmic superconformal
minimal models LSM(p,p') where P=|2p-p'|, P'=p' and p,p' are coprime, and they
share the central charges of the rational superconformal minimal models
SM(P,P'). Their mathematical description entails the fused planar
Temperley-Lieb algebra which is a spin-1 BMW tangle algebra with loop fugacity
beta_2=x^2+1+x^{-2} and twist omega=x^4 where x=e^{i(p'-p)pi/p'}. Examples are
superconformal dense polymers LSM(2,3) with c=-5/2, beta_2=0 and superconformal
percolation LSM(3,4) with c=0, beta_2=1. We calculate the free energies
analytically. By numerically studying finite-size spectra on the strip with
appropriate boundary conditions in Neveu-Schwarz and Ramond sectors, we argue
that, in the continuum scaling limit, these lattice models are associated with
the logarithmic superconformal models LM(P,P';2). For system size N, we propose
finitized Kac character formulas whose P,P' dependence only enters in the
fractional power of q in a prefactor. These characters involve Motzkin and
Riordan polynomials defined in terms of q-trinomial coefficients. Using the
Hamiltonian limit, we argue that there exist reducible yet indecomposable
representations for which the Virasoro dilatation operator L_0 exhibits rank-2
Jordan blocks confirming that these theories are indeed logarithmic. We relate
these results to the N=1 superconformal representation theory.


title: Bounded Recursive Self-Improvement

abstract:
  We have designed a machine that becomes increasingly better at behaving in
underspecified circumstances, in a goal-directed way, on the job, by modeling
itself and its environment as experience accumulates. Based on principles of
autocatalysis, endogeny, and reflectivity, the work provides an architectural
blueprint for constructing systems with high levels of operational autonomy in
underspecified circumstances, starting from a small seed. Through value-driven
dynamic priority scheduling controlling the parallel execution of a vast number
of reasoning threads, the system achieves recursive self-improvement after it
leaves the lab, within the boundaries imposed by its designers. A prototype
system has been implemented and demonstrated to learn a complex real-world
task, real-time multimodal dialogue with humans, by on-line observation. Our
work presents solutions to several challenges that must be solved for achieving
artificial general intelligence.


title: Theory of SU(N) Fermi liquid

abstract:
  We generalized the Fermi liquid theory to N component systems with SU(N)
symmetry. We emphasize the important role of fluctuations when N is large.
These fluctuations dramatically modifies the properties for repulsive Fermi
gases, in particular the spin susceptibility.


title:
Charge Sharing Effect on 600 {\mu}m Pitch Pixelated CZT Detector for
  Imaging Applications

abstract:
  We are currently investigating the spatial resolution of highly pixelated
Cadmium Zinc Telluride (CZT) detector for imaging applications. A 20 mm
{\times} 20 mm {\times} 5 mm CZT substrate was fabricated with 600 {\mu}m pitch
pixels (500 {\mu}m anode pixels with 100 {\mu}m gap) and coplanar cathode.
Charge sharing between two pixels was studied using collimated 122 keV gamma
ray source. Experiments show a resolution of 125 {\mu}m FWHM for double-pixel
charge sharing events when the 600 {\mu}m pixelated and 5 mm thick CZT detector
biased at -1000 V. In addition, we analyzed the energy response of the 600
{\mu}m pitch pixelated CZT detector.


title:
A Refined Conjecture For Factoring Iterates Of Quadratic Polynomials
  Over Finite Fields

abstract:
  Jones and Boston conjectured that the factorization process for iterates of
irreducible quadratic polynomials over finite fields is approximated by a
Markov model. In this paper, we find unexpected and intricate behavior for some
quadratic polynomials, in particular for the ones with tail size one. We also
propose a multi-step Markov model that explains these new observations better
than the model of Jones and Boston.


title: Theoretical analysis of Lambda(1405) photoproduction

abstract:
  We develop a model that describes the gamma p -> K^+ pi Sigma reaction in the
Lambda(1405) region. The model consists of gauge invariant photo-production
mechanisms, and the chiral unitary model that gives the rescattering amplitudes
where Lambda(1405) is contained. The model also contains phenomenological
parameters, associated with short-range dynamics, to be used in fitting data.
We successfully fit recent CLAS data for the pi-Sigma invariant mass
distributions (line-shape) in the gamma p -> K^+ pi Sigma reaction for all the
charge states. We find that the higher mass pole for Lambda(1405) of the chiral
unitary model plays an important role in the reaction. We also find the
non-resonant background contribution is not negligible, and its sizable effect
shifts the Lambda(1405) peak position by several MeV. This work sets a starting
point for a fuller analysis in which line-shape as well as K^+ angular
distribution data are simultaneously analyzed for extracting Lambda(1405)
pole(s).


title: Infall of nearby galaxies into the Virgo cluster as traced with HST

abstract:
  We measured the Tip of the Red Giant Branch distances to nine galaxies in the
direction to the Virgo cluster using the Advanced Camera for Surveys on the
Hubble Space Telescope. These distances put seven galaxies: GR 34, UGC 7512,
NGC 4517, IC 3583, NGC 4600, VCC 2037 and KDG 215 in front of the Virgo, and
two galaxies: IC 3023, KDG 177 likely inside the cluster. Distances and radial
velocities of the galaxies situated between us and the Virgo core clearly
exhibit the infall phenomenon toward the cluster. In the case of spherically
symmetric radial infall we estimate the radius of the "zero-velocity surface"
to be (7.2+-0.7) Mpc that yields the total mass of the Virgo cluster to be
(8.0+-2.3) X 10^{14} M_sun in good agreement with its virial mass estimates. We
conclude that the Virgo outskirts does not contain significant amounts of dark
matter beyond its virial radius.


title: A scaling relation between pA and AA collisions

abstract:
  We compare the flow-like correlations in high multiplicity proton-nucleus
($p+A$) and nucleus-nucleus ($A+A$) collisions. At fixed multiplicity, the
correlations in these two colliding systems are strikingly similar, although
the system size is smaller in $p+A$. Based on an independent cluster model and
a simple conformal scaling argument, where the ratio of the mean free path to
the system size stays constant at fixed multiplicity, we argue that flow in
$p+A$ emerges as a collective response to the fluctuations in the position of
clusters, just like in $A+A$ collisions. With several physically motivated and
parameter free rescalings of the recent LHC data, we show that this simple
model captures the essential physics of elliptic and triangular flow in $p+A$
collisions. We also explore the implications of the model for jet energy loss
in $p+A$, and predict slightly larger transverse momentum broadening in $p+A$
than in $A+A$ at the same multiplicity.


title: Correlation-driven phase transition in a Chern insulator

abstract:
  The phase transition driven by electron correlations in a Chern insulator is
investigated within the dynamical mean-field theory. The Chern insulator is
described by the Haldane model and the electron correlations are incorporated
by introducing the short-range interaction between the itinerant electrons and
localized fermions. In the preservation of the inversion symmetry, the electron
correlations drive the system from the Chern insulator to a renormalized
pseudogap metal, and then to the topologically trivial Mott insulator. When the
inversion symmetry is broken, a charge ordering and a nontrivial Chern
topological invariant coexist.


title:
The 2nd order coherence of superradiance from a Bose--Einstein
  condensate

abstract:
  We have measured the 2-particle correlation function of atoms from a
Bose--Einstein condensate participating in a superradiance process, which
directly reflects the 2nd order coherence of the emitted light. We compare this
correlation function with that of atoms undergoing stimulated emission. Whereas
the stimulated process produces correlations resembling those of a coherent
state, we find that superradiance, even in the presence of strong gain, shows a
correlation function close to that of a thermal state, just as for ordinary
spontaneous emission.


title: How Many Numerical Eigenvalues can We Trust?

abstract:
  When using finite element and finite difference methods to approximate
eigenvalues of $2m^{th}$-order elliptic problems, the number of reliable
numerical eigenvalues can be estimated in terms of the total degrees of freedom
$N$ in resulting discrete systems. The truth is worse than what we used to
believe in that the percentage of reliable eigenvalues decreases with an
increased $N$, even though the number of reliable eigenvalues increases with
$N$.


title:
On the geometry of motions in one integrable problem of the rigid body
  dynamics

abstract:
  Due to Poinsot's theorem, the motion of a rigid body about a fixed point is
represented as rolling without slipping of the moving hodograph of the angular
velocity over the fixed one. If the moving hodograph is a closed curve,
visualization of motion is obtained by the method of P.V.Kharlamov. For an
arbitrary motion in an integrable problem with an axially symmetric force field
the moving hodograph densely fills some two-dimensional surface and the fixed
one fills a three-dimensional surface. In this paper, we consider the
irreducible integrable case in which both hodographs are two-frequency curves.
We obtain the equations of bearing surfaces, illustrate the main types of the
surfaces. We propose a method of the so-called non-straight geometric
interpretation representing the motion of a body as a superposition of two
periodic motions.


title:
Updated measurements of absolute $D^+$ and $D^0$ hadronic branching
  fractions and $\sigma(e^+e^-\to D\overline{D})$ at $E_\mathrm{cm} = 3774$ MeV

abstract:
  Utilizing the full CLEO-c data sample of 818 pb$^{-1}$ of $e^+e^-$ data taken
at the $\psi(3770)$ resonance, we update our measurements of absolute hadronic
branching fractions of charged and neutral $D$ mesons. We previously
reportedresults from subsets of these data. Using a double tag technique we
obtain branching fractions for three $D^0$ and six $D^+$ modes, including the
reference branching fractions $\mathcal{B} (D^0\to K^-\pi^+)=(3.934 \pm 0.021
\pm 0.061)\%$ and $\mathcal{B} (D^+ \to K^- \pi^+\pi^+)=(9.224 \pm 0.059 \pm
0.157)\%$. The uncertainties are statistical and systematic, respectively. In
these measurements we include the effects of final-state radiation by allowing
for additional unobserved photons in the final state, and the systematic errors
include our estimates of the uncertainties of these effects. Furthermore, using
an independent measurement of the luminosity, we obtain the cross sections
$\sigma(e^+e^-\to D^0\overline{D}{}^0)=(3.607\pm 0.017 \pm 0.056) \
\mathrm{nb}$ and $\sigma(e^+e^-\to D^+D^-)=(2.882\pm 0.018 \pm 0.042) \
\mathrm{nb}$ at a center of mass energy, $E_\mathrm{cm} = 3774 \pm 1$ MeV.


title:
Stochastic phenotype transition of a single cell in an intermediate
  region of gene-state switching

abstract:
  Multiple phenotypic states often arise in a single cell with different
gene-expression states that undergo transcription regulation with positive
feedback. Recent experiments have shown that at least in E. coli, the gene
state switching can be neither extremely slow nor exceedingly rapid as many
previous theoretical treatments assumed. Rather it is in the intermediate
region which is difficult to handle mathematically.Under this condition, from a
full chemical-master-equation description we derive a model in which the
protein copy-number, for a given gene state, follow a deterministic mean-field
description while the protein synthesis rates fluctuate due to stochastic
gene-state switching. The simplified kinetics yields a nonequilibrium landscape
function, which, similar to the energy function for equilibrium fluctuation,
provides the leading orders of fluctuations around each phenotypic state, as
well as the transition rates between the two phenotypic states. This rate
formula is analogous to Kramers theory for chemical reactions. The resulting
behaviors are significantly different from the two limiting cases studied
previously.


title: Geometric Arveson-Douglas conjecture

abstract:
  We prove the Arveson-Douglas essential normality conjecture for graded
Hilbert submodules that consist of functions vanishing on a given homogeneous
subvariety of the ball, smooth away from the origin. Our main tool is the
theory of generalized Toeplitz operators of Boutet de Monvel and Guillemin.


title:
Effect of pressure on octahedral distortions in RCrO3 (R = Lu, Tb, Gd,
  Eu, Sm): The role of R-ion size and its implications

abstract:
  The effect of rare-earth ion size on the octahedral distortions in rare-earth
chromites (RCrO3, R = Lu, Tb, Gd, Eu, Sm) crystallizing in the orthorhombic
structure has been studied using Raman scattering and synchrotron powder x-ray
diffraction up to 20 GPa. From our studies on RCrO3 we found that the
octahedral tilts (distortions) increase with pressure. This is contrary to the
earlier report which suggests that in LaCrO3, the distortions decrease with
pressure leading to a more ordered phase at high pressure. Here we observe that
the rate of increase in distortion decreases with the increase in R-ion radii.
This occurs due to the reduction in the compression of RO12 polyhedra with a
corresponding increase in the compression of the CrO6 octahedra with increasing
R-ion radii. From the Raman studies, we predict a critical R-ion radii, above
which we expect the distortions in RCrO3 to reduce with increasing pressure
leading to what is observed in the case of LaCrO3. These Raman results are
consistent with our pressure dependent structural studies on RCrO3 (R = Gd, Eu,
Sm). Also, our results suggest that the pressure dependence of N\'eel
temperature, TNCr, (where the Cr3+ spin orders) in RCrO3 is mostly affected by
the compressions of Cr-O bonds rather than the alteration of octahedral tilts.


title: Compact nuclear objects and properties of their parent galaxies

abstract:
  We consider the relationship between the masses of the compact nuclear
objects in the centers of disky galaxies -- supermassive black holes (SMBHs) or
nuclear star clusters (NCs) -- and such parameters as the maximal velocity of
rotation $V_{\textrm{max}}$, obtained from the rotation curves, indicative
dynamical mass $M_{25}$, and the color index ($B{-}V$) of their parent
galaxies. It was found that the mass of nuclear clusters $M_{\rm nc}$
correlates more closely with the velocity of rotation and total mass of
galaxies than the mass of supermassive black holes $M_{\rm bh}$. The dependence
of masses of the central objects on the color index is bimodal: galaxies of the
red group (red-sequence), which have ($B{-}V) > 0.6{-}0.7$, differ from bluer
galaxies, by higher values of $M_{\rm bh}$ for similar host-galaxy parameters.
In contrast, in the diagrams for nuclear clusters the "blue" and "red" galaxies
form unified sequences. It agrees with scenarios in which most red-group
galaxies form as a result of loss of interstellar gas in a stage of high
nuclear activity in galaxies whose central black-hole masses are high,
exceeding $10^6 {-} 10^7 M_{\odot}$ (depending on the total mass of the
galaxy). The active growth of nuclear star clusters possibly begun after the
violent AGN activity.


title: The spectrum of ultraproducts of finite cardinals for an ultrafilter

abstract:
  We complete the characterization of the possible spectrum of regular
ultrafilters D on a set I, where the spectrum is the set of infinite cardinals
which are ultraproducts of finite cardinals modulo D.


title: The peculiar velocity and temperature profile of galaxy clusters

abstract:
  Dynamical parameters like average velocity dispersion and temperature profile
of galaxy clusters are determined using a quasi equilibrium thermodynamic
theory. The calculated velocity dispersion results from theory and simulations
shows a good agreement with the velocity dispersion results of (Abdullah et al.
\cite{Abd11}). An Adaptive Mesh Refinement (AMR), Grid based hybrid code have
been used to carry out the simulations. Our results indicate that the average
velocity dispersion profile of $20$ Abell galaxy clusters falls in the range of
$500-1000$ km/s and their temperature profile is of the order of $10^7$ to
$10^8$K calculated on the basis of kinetic theory. The data in the plot shows a
significant contribution of gravitating particles clustering together in the
vicinity of cluster center and beyond a certain region this velocity dies out
and gets dominated by the Hubble's flow due to which all the galaxy clusters in
an expanding universe participate in Hubble's expansion.


title:
IVSS Integration of Color Feature Extraction Techniques for Intelligent
  Video Search Systems

abstract:
  As large amount of visual Information is available on web in form of images,
graphics, animations and videos, so it is important in internet era to have an
effective video search system. As there are number of video search engine
(blinkx, Videosurf, Google, YouTube, etc.) which search for relevant videos
based on user keyword or term, But very less commercial video search engine are
available which search videos based on visual image/clip/video. In this paper
we are recommending a system that will search for relevant video using color
feature of video in response of user Query.


title: Periodically bursting edge states in plane Poiseuille flow

abstract:
  We investigate the laminar-turbulent boundary in plane Poiseuille flow by the
method of edge tracking. In short and narrow computational domains we find for
a wide range in Reynolds number that all states in the boundary converge to a
period orbit with a period of the order of $10^{3}$ time units. The attracting
states in these small domains are periodically extended in the spanwise and
streamwise direction, but always localized to one side of the channel in the
normal direction. In short and wide domains the edge states are localized in
the spanwise direction. The periodic motion found in the small domains then
induces a large variety of dynamical activity. The findings are very similar to
the ones in the asymptotic suction boundary layer.


title: Relay Broadcast Channel with Confidential Messages

abstract:
  We investigate the effects of an additional relay node on the secrecy of
broadcast channels by considering the model of relay broadcast channels with
confidential messages. We show that this additional relay node can increase the
achievable secrecy rate region of the broadcast channels with confidential
messages. More specifically, first, we investigate the discrete memoryless
relay broadcast channels with two confidential messages and one common message.
Three inner bounds (with respect to decode-forward, generalized noise-forward
and compress-forward strategies) and an outer bound on the
capacity-equivocation region are provided. Second, we investigate the discrete
memoryless relay broadcast channels with two confidential messages. Inner and
outer bounds on the capacity-equivocation region are provided. Finally, we
investigate the discrete memoryless relay broadcast channels with one
confidential message and one common message. Inner and outer bounds on the
capacity-equivocation region are provided, and the results are further
explained via a Gaussian example. Compared with Csiszar-Korner's work on
broadcast channels with confidential messages (BCC), we find that with the help
of the relay node, the secrecy capacity region of the Gaussian BCC is enhanced.


title:
Spectral properties of Compton inverse radiation: Application of Compton
  beams

abstract:
  Compton inverse radiation emitted due to backscattering of laser pulses off
the relativistic electrons possesses high spectral density and high energy of
photons - in hard x-ray up to gamma-ray energies - because of short wavelength
of laser radiation as compared with the classical electromagnetic devices such
as undulators. In this report, the possibility of such radiation to
monochromatization by means of collimation is studied. Two approaches have been
considered for the description of the spectral-angular density of Compton
radiation based on the classical field theory and on the quantum
electrodynamics. As is shown, both descriptions produce similar total spectra.
On the contrary, angular distribution of the radiation is different: the
classical approach predicted a more narrow radiation cone. Also proposed and
estimated is a method of the `electronic' monochromatization based on the
electronic subtraction of the two images produced by the electron beams with
slightly different energies. A `proof-of-principle' experiment of this method
is proposed for the LUXC facility of KEK (Japan).


title: Monodromies at infinity of confluent A-hypergeometric functions

abstract:
  We study the monodromies at infinity of confluent A-hypergeometric functions
introduced by Adolphson. In particular, we extend the result of the third
author for non-confluent A-hypergeometric functions to the confluent case. The
integral representation by rapid decay homology cycles will play a central role
in the proof.


title: Collectivity in Heavy Nuclei in the Shell Model Monte Carlo Approach

abstract:
  The microscopic description of collectivity in heavy nuclei in the framework
of the configuration-interaction shell model has been a major challenge. The
size of the model space required for the description of heavy nuclei prohibits
the use of conventional diagonalization methods. We have overcome this
difficulty by using the shell model Monte Carlo (SMMC) method, which can treat
model spaces that are many orders of magnitude larger than those that can be
treated by conventional methods. We identify a thermal observable that can
distinguish between vibrational and rotational collectivity and use it to
describe the crossover from vibrational to rotational collectivity in families
of even-even rare-earth isotopes. We calculate the state densities in these
nuclei and find them to be in close agreement with experimental data. We also
calculate the collective enhancement factors of the corresponding level
densities and find that their decay with excitation energy is correlated with
the pairing and shape phase transitions.


title:
Relaxation and Creep in Twist and Flexure + Addendum to <<Relaxation and
  Creep in Twist and Flexure>>

abstract:
  The aim of the paper is to derive the exact analytical expressions for
torsion and bending creep of rods with the Norton-Bailey, Garofalo and
Naumenko-Altenbach-Gorash constitutive models. These simple constitutive
models, for example, the time- and strain-hardening constitutive equations,
were based on adaptations for time-varying stress of equally simple models for
the secondary creep stage from constant load/stress uniaxial tests where
minimum creep rate is constant. The analytical solution is studied for
Norton-Bailey and Garofalo laws in uniaxial states of stress. The most common
secondary creep constitutive model has been the Norton-Bailey Law which gives a
power law relationship between minimum creep rate and (constant) stress. The
distinctive mathematical properties of the power law allowed the development of
analytical methods, many of which can be found in high temperature design
codes. The results of creep simulation are applied to practically important
problem of engineering, namely for simulation of creep and relaxation of
helical and disk springs. The exact analyticalexpressions giving the torque and
bending moment as a function of the time were derived.


title:
Ionisation in atmospheres of brown dwarfs and extrasolar planets VI:
  Properties of large-scale discharge events

abstract:
  Mineral clouds in substellar atmospheres play a special role as a catalyst
for a variety of charge processes. If clouds are charged, the surrounding
environment becomes electrically activated, and ensembles of charged grains are
electrically discharging (e.g. by lightning), which significantly infuences the
local chemistry creating conditions similar to those thought responsible for
life in early planetary atmospheres. We note that such lightning discharges
contribute also to the ionisation state of the atmosphere. We apply scaling
laws for electrical discharge processes from laboratory measurements and
numerical experiments to Drift-Phoenix model atmosphere results to model the
discharge's propagation downwards (as lightning) and upwards (as sprites)
through the atmospheric clouds. We evaluate the spatial extent and energetics
of lightning discharges. The atmospheric volume affected (e.g. by increase of
temperature or electron number) is larger in a brown dwarf atmosphere ($10^8
-~10^{10}$m$^3$) than in a giant gas planet's ($10^4 -~10^{6}$m$^3$). Our
results suggest that the total dissipated energy in one event is $<10^{12}$ J
for all models of initial solar metallicity. First attempts to show the
infuence of lightning on the local gas phase indicate an increase of small
carbohydrate molecules like CH and CH$_2$ at the expense of CO and CH$_4$. Dust
forming molecules are destroyed and the cloud particle properties are frozen-in
unless enough time is available for complete evaporation. We summarise
instruments potentially suitable to observe lightning on extrasolar objects.


title: Jebsen-Birkhoff theorem and its stability in f(R) gravity

abstract:
  We prove a Jebsen-Birkhoff like theorem for f(R) theories of gravity in order
to to find the necessary conditions required for the existence of the
Schwarzschild solution in these theories and demonstrate that the rigidity of
such solutions of f(R) gravity is valid even in the perturbed scenario.


title: Iterated LD-Problem in non-associative key establishment

abstract:
  We construct new non-associative key establishment protocols for all left
self-distributive (LD), multi-LD-, and mutual LD-systems. The hardness of these
protocols relies on variations of the (simultaneous) iterated LD-problem and
its generalizations. We discuss instantiations of these protocols using
generalized shifted conjugacy in braid groups and their quotients, LD-conjugacy
and $f$-symmetric conjugacy in groups. We suggest parameter choices for
instantiations in braid groups, symmetric groups and several matrix groups.


title: Intermediate energy four-body breakup calculations for 22C

abstract:
  The heaviest particle-bound carbon isotope, $^{22}$C, is thought to have a
Borromean three-body structure. We discuss and compare four-body, i.e.
three-body projectile plus target, reaction model calculations of reaction
cross sections for such systems that use the fast adiabatic approximation.
These methods are efficient and well-suited for quantitative analyses of
reactions of neutron-rich nuclei with light target nuclei at secondary beam
energies of $\approx$300 MeV/nucleon, as are now becoming available. We compare
the predictions of the adiabatic model of the reaction both without and when
including the additional eikonal approximation that has been used extensively.
We show that the reaction cross section calculations have only limited
sensitivity to the size and structure of $^{22}$C and that the differences
arising from use of the eikonal approximation of the reaction mechanism are of
a similar magnitude.


title: S matrix from matrix product states

abstract:
  We use the matrix product state formalism to construct stationary scattering
states of elementary excitations in generic one-dimensional quantum lattice
systems. Our method is applied to the spin-1 Heisenberg antiferromagnet, for
which we calculate the full magnon-magnon S matrix for arbitrary momenta and
spin, the two-particle contribution to the spectral function and the
magnetization curve. As our method provides an accurate microscopic
representation of the interaction between elementary excitations, we envisage
the description of low-energy dynamics of one-dimensional spin chains in terms
of these particlelike excitations.


title: Non-associative key establishment protocols and their implementation

abstract:
  We provide implementation details for non-associative key establishment
protocols. In particular, we describe the implementation of non-associative key
establishment protocols for all left self-distributive and all mutually left
distributive systems.


title: Predictions of exclusive psi(2S) production at the LHC

abstract:
  The cross section for exclusive psi(2S) ultraperipheral production at the LHC
is calculated using gluon parametrisations extracted from exclusive J/psi
measurements performed at HERA and the LHC. Predictions are given at leading
and next-to-leading order for pp centre-of-mass energies of 7, 8 and 14 TeV,
assuming the non-relativistic approximation for the psi(2S) wave function.


title:
A commend on "Three Classes of Newtonian Three-Body Planar Periodic
  Orbits" by \v{S}uvakov and Dmitra\v{s}inovi\'{c} (PRL, 2013)

abstract:
  Currently, the fifteen new periodic solutions of Newtonian three-body problem
with equal mass were reported by \v{S}uvakov and Dmitra\v{s}inovi\'{c} (PRL,
2013) [1]. However, using a reliable numerical approach (namely the Clean
Numerical Simulation, CNS) that is based on the arbitrary-order Taylor series
method and data in arbitrary-digit precision, it is found that at least seven
of them greatly depart from the periodic orbits after a long enough interval of
time. Therefore, the reported initial conditions of at least seven of the
fifteen orbits reported by \v{S}uvakov and Dmitra\v{s}inovi\'{c} [1] are not
accurate enough to predict periodic orbits. Besides, it is found that these
seven orbits are unstable.


title: Spaces of algebraic maps from real projective spaces to toric varieties

abstract:
  The problem of approximating the infinite dimensional space of all continuous
maps from an algebraic variety $X$ to an algebraic variety $Y$ by finite
dimensional spaces of algebraic maps arises in several areas of geometry and
mathematical physics. An often considered formulation of the problem (sometimes
called the Atiyah-Jones problem after \cite{AJ}) is to determine a (preferably
optimal) integer $n_D$ such that the inclusion from this finite dimensional
algebraic space into the corresponding infinite dimensional one induces
isomorphisms of homology (or homotopy) groups through dimension $n_D$, where
$D$ denotes a tuple of integers called the "degree" of the algebraic maps and
$n_D\to\infty$ as $D\to\infty$. In this paper we investigate this problem in
the case when $X$ is a real projective space and $Y$ is a smooth compact toric
variety.


title: Re-filtraci\'on y propiedades de regularidad de anillos multi-filtrados

abstract:
  Quantum bounded extensions of multifiltered algebras are defined, and they
are endowed with a new multifiltration. The behavior of the associated
multigraded rings is studied. A refiltering process allows to lift homological
properties from the associated multigraded ring to the multifiltered ring. This
is the full version, with proofs, of the paper entitled "Regularidad de las
\'algebras envolventes cuantizadas", by the author, published in "Actas del
Encuentro de Matem\'aticos Andaluces Vol. 2, pp. 493-500, ISBN 8447206394,
Sevilla, 2001."


title: Direct limits of Cohen-Macaulay rings

abstract:
  Let $A$ be a direct limit of a direct system of Cohen-Macaulay rings. In this
paper, we describe the Cohen-Macaulay property of $A$. Our results indicate
that $A$ is not necessarily Cohen-Macaulay. We show $A$ is Cohen-Macaulay under
various assumptions. As an application, we study Cohen-Macaulayness of
non-affine normal semigroup rings.


title:
Search for the decay ${\overline B}^{0}\rightarrow{\Lambda_{\rm
  c}^{+}}{\overline p}{p}{\overline p}$

abstract:
  We report a search for the decay ${\overline B}^{0}\rightarrow{\Lambda_{\rm
c}^{+}}{\overline p}{p}{\overline p}$. Using a data sample of $471 \times
10^6\: B{\overline B}$ pairs collected with the BABAR detector at the PEP-II
storage ring at SLAC, we find no events and set an upper limit on the branching
fraction ${\cal B}({\overline B}^{0}\rightarrow{\Lambda_{\rm c}^{+}}{\overline
p}{p}{\overline p}) \times\frac{{\cal B}(\Lambda_{\rm c}^{+}\rightarrow p K^{-}
\pi^{+})}{0.050} < 2.8\times10^{-6}$ at $90\,%$ C.L., where we have normalized
${\cal B}(\Lambda_{\rm c}^{+}\rightarrow p K^{-} \pi^{+})$ to the world average
value.


title:
$\Sigma^-$ admixture in the $^{10}_\Lambda$Li hypernucleus with a
  repulsive $\Sigma$-nucleus potential

abstract:
  $\Sigma^-$ hyperon component of the $^{10}_\Lambda$Li wave function is
studied. The $\Sigma^-$ admixture is vital for production of neutron-rich
$\Lambda$ hypernuclei via mesonic beams. We use a simplified shell model wave
function for the $\Lambda$ channel and calculate the $\Sigma^-$ admixture
directly from coupled equations. Probability of the $\Sigma^-$ admixture for
realistic repulsive $\Sigma^-$-nucleus potentials is less by several times than
that for attractive potentials and does not exceed $0.1\%$. We conclude that
the cross sections of the $^{10}\mbox{B}(\pi^-,K^+){}^{10}_\Lambda\mbox{Li}$
reaction measured at KEK cannot be explained by production via $\Sigma^-$
admixture as a doorway state.


title: Suffix Stripping Problem as an Optimization Problem

abstract:
  Stemming or suffix stripping, an important part of the modern Information
Retrieval systems, is to find the root word (stem) out of a given cluster of
words. Existing algorithms targeting this problem have been developed in a
haphazard manner. In this work, we model this problem as an optimization
problem. An Integer Program is being developed to overcome the shortcomings of
the existing approaches. The sample results of the proposed method are also
being compared with an established technique in the field for English language.
An AMPL code for the same IP has also been given.


title: Solvable Lie groups of negative Ricci curvature

abstract:
  We consider the question of whether a given solvable Lie group admits a
left-invariant metric of strictly negative Ricci curvature. We give necessary
and sufficient conditions of the existence of such a metric for the Lie groups
the nilradical of whose Lie algebra is either abelian or Heisenberg or standard
filiform, and discuss some open questions.


title:
A model of financial contagion with variable asset returns may be
  replaced with a simple threshold model of cascades

abstract:
  I show the equivalence between a model of financial contagion and the
threshold model of global cascades proposed by Watts (2002). The model
financial network comprises banks that hold risky external assets as well as
interbank assets. It is shown that a simple threshold model can replicate the
size and the frequency of financial contagion without using information about
individual balance sheets. Keywords: financial network, cascades, financial
contagion, systemic risk.


title:
A Coverage Strategy for Wireless Sensor Networks in a Three-dimensional
  Environment

abstract:
  Coverage is one of the fundamental issues in wireless sensor networks (WSNs).
It reflects the ability of WSNs to detect the fields of interest. In a real
sensor networks application, the detection area is always non-ideal and the
terrain of the detection area is often more complex in applications of
three-dimensional sensor networks. Consequently, many of the existing coverage
strategies cannot be directly applied to three-dimensional spaces. This paper
presents a new coverage strategy for the three-dimensional sensor networks.
Sensor nodes are uniformly distributed. The cost factor is utilized to
construct the perceived probability and the classical watershed algorithm after
the transformation of points from the three-dimensional space to the
two-dimensional plane using the dimensionality reduction method, which can
maintain the topology characteristic of the non-linear terrain. The detection
probability in the optimal breath path is used as the measure to evaluate the
coverage. Simulation results indicate that the proposed strategy can determine
the coverage with fewer nodes, while achieving the coverage requirements of the
networks.


title: Quantum Plasmonics

abstract:
  Quantum plasmonics is a rapidly growing field of research that involves the
study of the quantum properties of light and its interaction with matter at the
nanoscale. Here, surface plasmons - electromagnetic excitations coupled to
electron charge density waves on metal-dielectric interfaces or localized on
metallic nanostructures - enable the confinement of light to scales far below
that of conventional optics. In this article we review recent progress in the
experimental and theoretical investigation of the quantum properties of surface
plasmons, their role in controlling light-matter interactions at the quantum
level and potential applications. Quantum plasmonics opens up a new frontier in
the study of the fundamental physics of surface plasmons and the realization of
quantum-controlled devices, including single-photon sources, transistors and
ultra-compact circuitry at the nanoscale.


title:
Iterative Nearest Neighborhood Oversampling in Semisupervised Learning
  from Imbalanced Data

abstract:
  Transductive graph-based semi-supervised learning methods usually build an
undirected graph utilizing both labeled and unlabeled samples as vertices.
Those methods propagate label information of labeled samples to neighbors
through their edges in order to get the predicted labels of unlabeled samples.
Most popular semi-supervised learning approaches are sensitive to initial label
distribution happened in imbalanced labeled datasets. The class boundary will
be severely skewed by the majority classes in an imbalanced classification. In
this paper, we proposed a simple and effective approach to alleviate the
unfavorable influence of imbalance problem by iteratively selecting a few
unlabeled samples and adding them into the minority classes to form a balanced
labeled dataset for the learning methods afterwards. The experiments on UCI
datasets and MNIST handwritten digits dataset showed that the proposed approach
outperforms other existing state-of-art methods.


title: Socially-Aware Venue Recommendation for Conference Participants

abstract:
  Current research environments are witnessing high enormities of presentations
occurring in different sessions at academic conferences. This situation makes
it difficult for researchers (especially juniors) to attend the right
presentation session(s) for effective collaboration. In this paper, we propose
an innovative venue recommendation algorithm to enhance smart conference
participation. Our proposed algorithm, Social Aware Recommendation of Venues
and Environments (SARVE), computes the Pearson Correlation and social
characteristic information of conference participants. SARVE further
incorporates the current context of both the smart conference community and
participants in order to model a recommendation process using distributed
community detection. Through the integration of the above computations and
techniques, we are able to recommend presentation sessions of active
participant presenters that may be of high interest to a particular
participant. We evaluate SARVE using a real world dataset. Our experimental
results demonstrate that SARVE outperforms other state-of-the-art methods.


title: The Micro Dynamics of Collective Violence

abstract:
  Collective violence in direct confrontations between two opposing groups
happens in short bursts wherein small subgroups briefly attack small numbers of
opponents, while the others form a non-fighting audience. The mechanism is
fighters' synchronization of intentionalities during preliminary interactions,
by which they feel one and overcome their fear. To explain these bursts,
subgroups' small sizes and leaders' role, a social influence model and a
synchronization model are compared.


title:
On the thermodynamic stability of rotating black holes in higher
  dimensions -- a comparison of thermodynamic ensembles

abstract:
  Thermodynamic potentials relevant to the micro-canonical, the canonical and
the grand-canonical ensembles, associated with rotating black holes in
D-dimensions, are analysed and compared. Such black holes are known to be
thermodynamically unstable, but the instability is a consequence of a subtle
interplay between specific heats and the moments of inertia and it manifests
itself differently in the different ensembles. A simple relation between the
product of the specific heat and the determinant of the moment of inertia in
both the canonical and the grand-canonical ensembles is derived. Myers-Perry
black holes in arbitrary dimension are studied in detail. All temperature
extrema in the micro-canonical ensemble are determined and classified. The
specific heat and the moment of inertia tensor are evaluated in both the
canonical and the grand-canonical ensembles in any dimension. All zeros and
poles of the specific heats, as a function of the angular momenta, are
determined and the eigenvalues of the isentropic moment of inertia tensor are
also found and classified. It is further shown that many of the thermodynamic
properties of a Myers-Perry black hole in D-2 dimensions can be obtained from
those of a black hole in D dimensions by sending one of the angular momenta to
infinity.


title: Basic vector valued Siegel modular forms of genus two

abstract:
  We study over rings of scalar valued Siegel modular forms. modules of vector
valued modular forms of degree two.
  For the two simplest representations, standard and Sym^2, appears rather
natural consider the cases of the group $\Gamma[4,8] $ and $\Gamma[2,4].$
  In these case we give the complete structure of the modules . The main tools
are Theta functions and their derivatives evaluated at $z=0$


title: Critical assessment of the evidence for striped nanoparticles

abstract:
  There is now a significant body of literature in which it is claimed that
stripes form in the ligand shell of suitably functionalised Au nanoparticles.
This stripe morphology has been proposed to strongly affect the physicochemical
and biochemical properties of the particles. We critique the published evidence
for striped nanoparticles in detail, with a particular focus on the
interpretation of scanning tunnelling microscopy (STM) data (as this is the
only technique which ostensibly provides direct evidence for the presence of
stripes). Through a combination of an exhaustive re-analysis of the original
data with new experimental measurements of a simple control sample comprising
entirely unfunctionalised particles, we conclusively show that all of the STM
evidence for striped nanoparticles published to date can instead be explained
by a combination of well-known instrumental artefacts, strong observer bias,
and/or improper data acquisition/analysis protocols. We also critically
re-examine the evidence for the presence of ligand stripes which has been
claimed to have been found from transmission electron microscopy, nuclear
magnetic resonance spectroscopy, small angle neutron scattering experiments,
and computer simulations. Although these data can indeed be interpreted in
terms of stripe formation, we show that, just as for the STM measurements,
rather more mundane interpretations can account for the reported results.


title:
New explicit thresholding/shrinkage formulas for one class of
  regularization problems with overlapping group sparsity and their
  applications

abstract:
  The least-square regression problems or inverse problems have been widely
studied in many fields such as compressive sensing, signal processing, and
image processing. To solve this kind of ill-posed problems, a regularization
term (i.e., regularizer) should be introduced, under the assumption that the
solutions have some specific properties, such as sparsity and group sparsity.
Widely used regularizers include the $\ell_1$ norm, total variation (TV)
semi-norm, and so on.
  Recently, a new regularization term with overlapping group sparsity has been
considered. Majorization minimization iteration method or variable duplication
methods are often applied to solve them. However, there have been no direct
methods for solve the relevant problems because of the difficulty of
overlapping. In this paper, we proposed new explicit shrinkage formulas for one
class of these relevant problems, whose regularization terms have translation
invariant overlapping groups. Moreover, we apply our results in TV deblurring
and denoising with overlapping group sparsity. We use alternating direction
method of multipliers to iterate solve it. Numerical results also verify the
validity and effectiveness of our new explicit shrinkage formulas.


title: Energy-Based Atomistic-to-Continuum Coupling Without Ghost Forces

abstract:
  We present a practical implementation of an energy-based
atomistic-to-continuum (a/c) coupling scheme without ghost forces, and
numerical tests evaluating its accuracy relative to other types of a/c coupling
schemes.


title:
A goodness-of-fit test based on the empirical characteristic function
  and a comparison of tests for normality

abstract:
  The normal distribution has the unique property that the cumulant generating
function has only two terms, namely those involving the mean and the variance.
This property is used to construct a simple by using the log of the modulus of
the empirical characteristic function to what would be expected under
normality. The test statistic is easy to calculate. Using a simulation study
the proposed test is shown to have excellent power, especially in large
samples.


title: Functional relations and the Yang-Baxter algebra

abstract:
  Functional equations methods are a fundamental part of the theory of Exactly
Solvable Models in Statistical Mechanics and they are intimately connected with
Baxter's concept of commuting transfer matrices. This concept has culminated in
the celebrated Yang-Baxter equation which plays a fundamental role for the
construction of quantum integrable systems and also for obtaining their exact
solution. Here I shall discuss a proposal that has been put forward in the past
years, in which the Yang-Baxter algebra is viewed as a source of functional
equations describing quantities of physical interest. For instance, this method
has been successfully applied for the description of the spectrum of open spin
chains, partition functions of elliptic models with domain wall boundaries and
scalar product of Bethe vectors. Further applications of this method are also
discussed.


title: Twisted Heisenberg chain and the six-vertex model with DWBC

abstract:
  In this work we establish a relation between the six-vertex model with Domain
Wall Boundary Conditions (DWBC) and the $XXZ$ spin chain with anti-periodic
twisted boundaries. More precisely, we demonstrate a formal relation between
the zeroes of the partition function of the six-vertex model with DWBC and the
zeroes of the transfer matrix eigenvalues associated with the six-vertex model
with a particular non-diagonal boundary twist.


title:
Test of CPT and Lorentz symmetry in entangled neutral kaons with the
  KLOE experiment

abstract:
  Neutral kaon pairs produced in phi decays in anti-symmetric entangled state
can be exploited to search for violation of CPT symmetry and Lorentz
invariance. We present an analysis of the CP-violating process phi->K_S
K_L->pi+pi-pi+pi- based on 1.7 fb-1 of data collected by the KLOE experiment at
the Frascati phi-factory DAFNE. The data are used to perform a measurement of
the CPT-violating parameters Delta_amu for neutral kaons in the contest of the
Standard Model Extension framework. The parameters measured in the reference
frame of the fixed stars are: Delta_ao = (-6.0 +- 7.7_{stat} +- 3.1_{syst}) x
10^{-18} GeV Delta_ax = ( 0.9 +- 1.5_{stat} +- 0.6_{syst}) x 10^{-18} GeV
Delta_ay = (-2.0 +- 1.5_{stat} +- 0.5_{syst}) x 10^{-18} GeV Delta_az = ( 3.1
+- 1.7_{stat} +- 0.5_{syst}) x 10^{-18} GeV These are presently the most
precise measurements in the quark sector of the Standard Model Extension.


title:
Computing Galois representations and equations for modular curves
  $X_H(\ell)$

abstract:
  We construct plane models of the modular curve $X_H(\ell)$, and use their
explicit equations to compute Galois representations associated to modular
forms for values of $\ell$ that are significantly higher than in prior works.


title: A Fast Greedy Algorithm for Generalized Column Subset Selection

abstract:
  This paper defines a generalized column subset selection problem which is
concerned with the selection of a few columns from a source matrix A that best
approximate the span of a target matrix B. The paper then proposes a fast
greedy algorithm for solving this problem and draws connections to different
problems that can be efficiently solved using the proposed algorithm.


title: Super K\"ahler oscillator from SU(2|1) superspace

abstract:
  We construct a new version of the worldline SU(2|1) superspace as a
deformation of the standard N =4, d=1 superspace and show that it naturally
provides off- and on-shell description of general supersymmetric K\"ahler
oscillator model considered earlier at the classical level within the
Hamiltonian approach. The basic object is a generalized chiral SU(2|1), d=1
superfield with the off-shell field content (2, 4, 2). The frequency of the
oscillator and the strength of external magnetic field are defined by two
parameters: the contraction parameter $m$ and the new parameter $\lambda$ which
reflects the freedom in defining the chiral SU(2|1), d=1 superspace. We treat
both classical and quantum cases.


title:
Model for an optically thick torus in local thermodynamic equilibrium
  around a black hole

abstract:
  We propose a simple model for an optically thick radiative torus in local
thermodynamic equilibrium around a Kerr black hole. The hydrodynamics
structure, which is not affected by the radiation field, is the same as for the
so--called polish doughnuts. Under the assumption of isentropic fluid and
polytropic equation of state, a simple stationary and axisymmetric solution to
the relativistic radiation hydrodynamics equations is possible, for which the
temperature of the torus scales like the specific enthalpy. The astrophysical
relevance of the model is briefly discussed.


title: A Search Strategy of Level-Based Flooding for the Internet of Things

abstract:
  This paper deals with the query problem in the Internet of Things (IoT).
Flooding is an important query strategy. However, original flooding is prone to
cause heavy network loads. To address this problem, we propose a variant of
flooding, called Level-Based Flooding (LBF). With LBF, the whole network is
divided into several levels according to the distances (i.e., hops) between the
sensor nodes and the sink node. The sink node knows the level information of
each node. Query packets are broadcast in the network according to the levels
of nodes. Upon receiving a query packet, sensor nodes decide how to process it
according to the percentage of neighbors that have processed it. When the
target node receives the query packet, it sends its data back to the sink node
via random walk. We show by extensive simulations that the performance of LBF
in terms of cost and latency is much better than that of original flooding, and
LBF can be used in IoT of different scales.


title: Dihedral angles and orthogonal polyhedra

abstract:
  Consider an orthogonal polyhedron, i.e., a polyhedron where (at least after a
suitable rotation) all faces are perpendicular to a coordinate axis, and hence
all edges are parallel to a coordinate axis. Clearly, any facial angle and any
dihedral angle is a multiple of $\pi/2$.
  In this note we explore the converse: if the facial and/or dihedral angles
are all multiples of $\pi /2$, is the polyhedron necessarily orthogonal? The
case of facial angles was answered previously. In this note we show that if
both the facial and dihedral angles are multiples of $\pi /2$ then the
polyhedron is orthogonal (presuming connectivity), and we give examples to show
that the condition for dihedral angles alone does not suffice.


title:
Charge density waves as the origin of dip-hump structures in
  differential tunneling conductance of cuprates: the case of $d$-wave
  superconductivity

abstract:
  Conductance-voltage characteristics (CVCs) for non-symmetric tunnel junctions
between $d$-wave superconductors with charge-density waves (CDWs) and normal
metals were calculated. It was shown that they have a V-like form at small
voltages $V$ and are asymmetric at larger $V$ owing to the presence of CDW peak
in one of the $V$-branches. The spatial scatter of the dielectric (CDW) order
parameter smears the CDW peak into a hump and induces a peak-dip-hump structure
(PDHS) typical of CVCs observed for such junctions. At temperatures larger than
the superconducting critical temperature, the PDHS evolves into a pseudogap
depression. The results agree well with the scanning tunneling microscopy data
for Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta}$ and YBa$_{2}%
$Cu$_{3}$O$_{7-\delta}$.


title: 3D Interest Point Detection via Discriminative Learning

abstract:
  The task of detecting the interest points in 3D meshes has typically been
handled by geometric methods. These methods, while greatly describing human
preference, can be ill-equipped for handling the variety and subjectivity in
human responses. Different tasks have different requirements for interest point
detection; some tasks may necessitate high precision while other tasks may
require high recall. Sometimes points with high curvature may be desirable,
while in other cases high curvature may be an indication of noise. Geometric
methods lack the required flexibility to adapt to such changes. As a
consequence, interest point detection seems to be well suited for machine
learning methods that can be trained to match the criteria applied on the
annotated training data. In this paper, we formulate interest point detection
as a supervised binary classification problem using a random forest as our
classifier. Among other challenges, we are faced with an imbalanced learning
problem due to the substantial difference in the priors between interest and
non-interest points. We address this by re-sampling the training set. We
validate the accuracy of our method and compare our results to those of five
state of the art methods on a new, standard benchmark.


title: An Optimal ODAM-Based Broadcast Algorithm for Vehicular Ad-Hoc Networks

abstract:
  Broadcast routing has become an important research field for vehicular ad-hoc
networks (VANETs) recently. However, the packet delivery rate is generally low
in existing VANET broadcast routing protocols. Therefore, the design of an
appropriate broadcast protocol based on the features of VANET has become a
crucial part of the development of VANET. This paper analyzes the disadvantage
of existing broadcast routing protocols in VANETs, and proposes an improved
algorithm (namely ODAM-C) based on the ODAM (Optimized Dissemination of Alarm
Messages) protocol. The ODAM-C algorithm improves the packet delivery rate by
two mechanisms based on the forwarding features of ODAM. The first
distance-based mechanism reduces the possibility of packet loss by considering
the angles between source nodes, forwarding nodes and receiving nodes. The
second mechanism increases the redundancy of forwarding nodes to guarantee the
packet success delivery ratio. We show by analysis and simulations that the
proposed algorithm can improve packet delivery rate for vehicular networks
compared against two widely-used existing protocols.


title:
Scaling of R\'enyi entanglement entropies of the free Fermi-gas ground
  state: a rigorous proof

abstract:
  In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and
Israel Klich conjectured an explicit formula for the leading asymptotic growth
of the spatially bi-partite von-Neumann entanglement entropy of non-interacting
fermions in multi-dimensional Euclidean space at zero temperature. Based on
recent progress by one of us (A.V.S.) in semi-classical functional calculus for
pseudo-differential operators with discontinuous symbols, we provide here a
complete proof of that formula and of its generalization to R\'enyi entropies
of all orders $\alpha>0$. The special case $\alpha=1/2$ is also known under the
name logarithmic negativity and often considered to be a particularly useful
quantification of entanglement. These formulas, exhibiting a "logarithmically
enhanced area law", have been used already in many publications.

categories: math-ph cond-mat.stat-mech math.MP quant-ph


title: A Localization Strategy Based on N-times Trilateral Centroid with Weight

abstract:
  Localization based on received signal strength indication (RSSI) is a low
cost and low complexity technology, and it is widely applied in distance-based
localization of wireless sensor networks (WSNs). Error of existed localization
technologies is significant. This paper presents the N-times trilateral
centroid weighted localization algorithm (NTCWLA), which can reduce the error
considerably. Considering the instability of RSSI, we use the weighted average
of many RSSIs as current RSSI. To improve the accuracy we select a number of
(no less than three) reliable beacon nodes to increase the localization times.
Then we calculate the distances between reliable beacon nodes and the mobile
node using an empirical formula. The mobile node is located N times using the
trilateral centroid algorithm. Finally, we take the weighted average of the
filtered reference coordinates as the mobile node's coordinates. We conduct
experiments with the STM32W108 chip which supports IEEE 802.15.4. The results
show that the proposed algorithm performs better than the trilateral centroid
algorithm.


title:
Multi-dimensional constraint relativistic mean field model and
  applications in actinide and transfermium nuclei

abstract:
  In this contribution we present some results of potential energy surfaces of
actinide and transfermium nuclei from multi-dimensional constrained
relativistic mean field (MDC-RMF) models. Recently we developed
multi-dimensional constrained covariant density functional theories (MDC-CDFT)
in which all shape degrees of freedom $\beta_{\lambda\mu}$ with even $\mu$ are
allowed and the functional can be one of the following four forms: the meson
exchange or point-coupling nucleon interactions combined with the non-linear or
density-dependent couplings. In MDC-RMF models, the pairing correlations are
treated with the BCS method. With MDC-RMF models, the potential energy surfaces
of even-even actinide nuclei were investigated and the effect of triaxiality on
the fission barriers in these nuclei was discussed. The non-axial
reflection-asymmetric $\beta_{32}$ shape in some transfermium nuclei with
$N=150$, namely $^{246}$Cm, $^{248}$Cf, $^{250}$Fm, and $^{252}$No were also
studied.


title:
Excitonic and superconducting orders from repulsive interaction on the
  doped honeycomb bilayer

abstract:
  Using a weak-coupling renormalization group formalism, we study competing
ordered phases for repulsively interacting fermions on the bilayer honeycomb
lattice away from half-filling, which is realized experimentally as doped
bilayer graphene. As electrons are added to the system, excitonic order is
suppressed, and unconventional superconductivity appears generically in its
place. In general it is found that the maximum critical temperature for
superconductivity appears directly adjacent to the dome of particle-hole order,
illustrating the importance of fluctuations in these channels for the formation
of unconventional superconductivity. We obtain the phase diagram showing
characteristic ordering temperatures for both short- and long-ranged
interactions, and show that the most likely superconducting instabilities occur
in $d$-wave, $f$-wave, and pair density wave channels. The nature of and
competition between these phases are further analyzed using both free energy
expansion and self-consistent mean-field theory. The effects of finite
temperature and trigonal warping due to further-neighbor hopping are studied,
and implications for experiments on bilayer graphene are discussed.


title:
The Value Iteration Algorithm is Not Strongly Polynomial for Discounted
  Dynamic Programming

abstract:
  This note provides a simple example demonstrating that, if exact computations
are allowed, the number of iterations required for the value iteration
algorithm to find an optimal policy for discounted dynamic programming problems
may grow arbitrarily quickly with the size of the problem. In particular, the
number of iterations can be exponential in the number of actions. Thus, unlike
policy iterations, the value iteration algorithm is not strongly polynomial for
discounted dynamic programming.


title: An Energy-Efficient Localization Strategy for Smartphones

abstract:
  In recent years, smartphones have become prevalent. Much attention is being
paid to developing and making use of mobile applications that require position
information. The Global Positioning System (GPS) is a very popular localization
technique used by these applications because of its high accuracy. However, GPS
incurs an unacceptable energy consumption, which severely limits the use of
smartphones and reduces the battery lifetime. Then an urgent requirement for
these applications is a localization strategy that not only provides enough
accurate position information to meet users' need but also consumes less
energy. In this paper, we present an energy-efficient localization strategy for
smartphone applications. On one hand, it can dynamically estimate the next
localization time point to avoid unnecessary localization operations. On the
other hand, it can also automatically select the energy-optimal localization
method. We evaluate the strategy through a series of simulations. Experimental
results show that it can significantly reduce the localization energy
consumption of smartphones while ensuring a good satisfaction degree.


title:
Face Detection from still and Video Images using Unsupervised Cellular
  Automata with K means clustering algorithm

abstract:
  Pattern recognition problem rely upon the features inherent in the pattern of
images. Face detection and recognition is one of the challenging research areas
in the field of computer vision. In this paper, we present a method to identify
skin pixels from still and video images using skin color. Face regions are
identified from this skin pixel region. Facial features such as eyes, nose and
mouth are then located. Faces are recognized from color images using an RBF
based neural network. Unsupervised Cellular Automata with K means clustering
algorithm is used to locate different facial elements. Orientation is corrected
by using eyes. Parameters like inter eye distance, nose length, mouth position,
Discrete Cosine Transform (DCT) coefficients etc. are computed and used for a
Radial Basis Function (RBF) based neural network. This approach reliably works
for face sequence with orientation in head, expressions etc.


title: Polymeric Quantization and Black Hole Thermodynamics

abstract:
  Polymer quantization is a non-standard representation of the quantum
mechanics that inspired by loop quantum gravity. To study the associated
statistical mechanics, one needs to find microstates' energies which are
eigenvalues of the Hamiltonian operator in the polymer framework. But, this is
not an easy task at all since the Hamiltonian takes a nonlinear form in polymer
picture. In this paper, we introduce a semiclassical method in which it is not
necessary to solve the eigenvalue problem. Instead, we work with the classical
Hamiltonian function and the deformed density of states in the polymeric phase
space. Implementing this method, we obtain the canonical partition function for
the polymerized systems and we show that our results are in good agreement with
those arising from full quantum considerations. Using the partition function,
we study the thermodynamics of quantum Schwarzschild black hole and we obtain
corrections to the Bekenstein-Hawking entropy due to loop quantum gravity
effects.


title:
Fuzzy Logic Approach for Threat Prioritization in Agile Security
  Framework using DREAD Model

abstract:
  For a qualitative system sound security practices must be a crucial part
throughout the entire software lifecycle. Furthermore, agile software
development has paved the way for overcoming the problems faced by developers
during traditional development process. In the given paper we are using an
Agile Security Framework that is compatible with practices of agile processes
and inherit in it the benefits of security engineering activities in the form
of risk assessment and threat prioritization. One of the most popular
techniques to deal with ever growing risks associated with security threats is
DREAD model. It is used for rating risk of threats identified in the abuser
stories. In this model threats needs to be defined by sharp cutoffs. However,
such precise distribution is not suitable for risk categorization as risks are
vague in nature and deals with high level of uncertainty. In view of these risk
factors, our paper proposes a novel fuzzy approach using DREAD model for
computing risk level that ensures better evaluation of imprecise concepts. Thus
it provides the capacity to include subjectivity and uncertainty during risk
ranking. A case study has been presented to illustrate and compare the proposed
approach with the existing one using Matlab.


title: Evaluating IEEE 802.15.4 for Cyber-Physical Systems

abstract:
  With rapid advancements in sensing, networking, and computing technologies,
recent years have witnessed the emergence of cyber-physical systems (CPS) in a
broad range of application domains. CPS is a new class of engineered systems
that features the integration of computation, communications, and control. In
contrast to general-purpose computing systems, many cyber-physical applications
are safety-cricial. These applications impose considerable requirements on
quality of service (QoS) of the employed networking infrastruture. Since IEEE
802.15.4 has been widely considered as a suitable protocol for CPS over
wireless sensor and actuator networks, it is of vital importance to evaluate
its performance extensively. Serving for this purpose, this paper will analyze
the performance of IEEE 802.15.4 standard operating in different modes
respectively. Extensive simulations have been conducted to examine how network
QoS will be impacted by some critical parameters. The results are presented and
analyzed, which provide some useful insights for network parameter
configuration and optimization for CPS design.


title: Greedy Column Subset Selection for Large-scale Data Sets

abstract:
  In today's information systems, the availability of massive amounts of data
necessitates the development of fast and accurate algorithms to summarize these
data and represent them in a succinct format. One crucial problem in big data
analytics is the selection of representative instances from large and
massively-distributed data, which is formally known as the Column Subset
Selection (CSS) problem. The solution to this problem enables data analysts to
understand the insights of the data and explore its hidden structure. The
selected instances can also be used for data preprocessing tasks such as
learning a low-dimensional embedding of the data points or computing a low-rank
approximation of the corresponding matrix. This paper presents a fast and
accurate greedy algorithm for large-scale column subset selection. The
algorithm minimizes an objective function which measures the reconstruction
error of the data matrix based on the subset of selected columns. The paper
first presents a centralized greedy algorithm for column subset selection which
depends on a novel recursive formula for calculating the reconstruction error
of the data matrix. The paper then presents a MapReduce algorithm which selects
a few representative columns from a matrix whose columns are massively
distributed across several commodity machines. The algorithm first learns a
concise representation of all columns using random projection, and it then
solves a generalized column subset selection problem at each machine in which a
subset of columns are selected from the sub-matrix on that machine such that
the reconstruction error of the concise representation is minimized. The paper
demonstrates the effectiveness and efficiency of the proposed algorithm through
an empirical evaluation on benchmark data sets.


title: On $k$-PN Functions over Finite Fields

abstract:
  Starting from PN functions, we introduce the concept of $k$-PN functions and
classify $k$-PN monomials over finite fields of order $p, p^2$ and $p^4$ for
small values of $k$.


title: The k-metric dimension of a graph

abstract:
  As a generalization of the concept of a metric basis, this article introduces
the notion of $k$-metric basis in graphs. Given a connected graph $G=(V,E)$, a
set $S\subseteq V$ is said to be a $k$-metric generator for $G$ if the elements
of any pair of different vertices of $G$ are distinguished by at least $k$
elements of $S$, i.e., for any two different vertices $u,v\in V$, there exist
at least $k$ vertices $w_1,w_2,...,w_k\in S$ such that $d_G(u,w_i)\ne
d_G(v,w_i)$ for every $i\in \{1,...,k\}$. A metric generator of minimum
cardinality is called a $k$-metric basis and its cardinality the $k$-metric
dimension of $G$. A connected graph $G$ is $k$-metric dimensional if $k$ is the
largest integer such that there exists a $k$-metric basis for $G$. We give a
necessary and sufficient condition for a graph to be $k$-metric dimensional and
we obtain several results on the $k$-metric dimension.


title:
Hedging Against the Interest-rate Risk by Measuring the Yield-curve
  Movement

abstract:
  By adopting the polynomial interpolation method, we propose an approach to
hedge against the interest-rate risk of the default-free bonds by measuring the
nonparallel movement of the yield-curve, such as the translation, the rotation
and the twist. The empirical analysis shows that our hedging strategies are
comparable to traditional duration-convexity strategy, or even better when we
have more suitable hedging instruments on hand. The article shows that this
strategy is flexible and robust to cope with the interest-rate risk and can
help fine-tune a position as time changes.


title: Charge transfer along DNA dimers, trimers and polymers

abstract:
  The transfer of electrons and holes along DNA dimers, trimers and polymers is
described at the base-pair level, using the relevant on-site energies of the
base-pairs and the hopping parameters between successive base-pairs. The
temporal and spatial evolution of carriers along a $N$ base-pair DNA segment is
determined, solving a system of $N$ coupled differential equations. Useful
physical quantities are calculated including the pure mean carrier transfer
rate $k$, the inverse decay length $\beta$ used for exponential fit ($k = k_0
\textrm{exp}(-\beta d)$) of the transfer rate as a function of the charge
transfer distance $d = N \times$ 3.4 {\AA} and the exponent $\eta$ used for a
power law fit ($k = k_0' N^{-\eta}$) of the transfer rate as function of the
number of monomers $N$. Among others, the electron and hole transfer along the
polymers poly(dG)-poly(dC), poly(dA)-poly(dT), GCGCGC..., ATATAT... is studied.
$\beta$ ($\eta$) falls in the range $\approx$ 0.2 - 2 {\AA}$^{-1}$ (1.7 - 17),
$k_0$ ($k_0'$) is usually $\approx 10^{-2}$-10$^{-1}$ ($ 10^{-2}$-10$^{-1}$)
PHz although, generally, it falls in the wider range $\approx 10^{-4}$-10
($10^{-4}$-10$^3$) PHz. The results are compared with past predictions and
experiments. Our approach illustrates to which extent a specific DNA segment
can serve as an efficient medium for charge transfer.


title: Separating signal from noise

abstract:
  Suppose that a sequence of numbers $x_n$ (a `signal') is transmitted through
a noisy channel. The receiver observes a noisy version of the signal with
additive random fluctuations, $x_n + \xi_n$, where $\xi_n$ is a sequence of
independent standard Gaussian random variables. Suppose further that the signal
is known to come from some fixed space of possible signals. Is it possible to
fully recover the transmitted signal from its noisy version? Is it possible to
at least detect that a non-zero signal was transmitted?
  In this paper we consider the case in which signals are infinite sequences
and the recovery or detection are required to hold with probability one. We
provide conditions on the signal space for checking whether detection or
recovery are possible. We also analyze in detail several examples including
spaces of Fourier transforms of measures, spaces with fixed amplitudes and the
space of almost periodic functions. Many of our examples exhibit critical
phenomena, in which a sharp transition is made from a regime in which recovery
is possible to a regime in which even detection is impossible.

categories: math.PR cs.IT math.CA math.IT math.ST stat.TH


title:
Phonon and magnetic dimer excitations in Fe-based S=2 spin ladder
  compound BaFe$_2$Se$_2$O

abstract:
  Raman scattering spectra of new Fe-based S=2 spin ladder compound
BaFe$_2$Se$_2$O are measured in a temperature range between 15 K and 623 K. All
six A$_{1g}$ and two B$_{1g}$ Raman active modes of BaFe$_2$Se$_2$O, predicted
by the factor-group analysis, have been experimentally observed at energies
that are in a rather good agreement with the lattice dynamics calculation. The
antiferromagnetic long-range spin ordering in BaFe$_2$Se$_2$O below $T_N$=240 K
leaves a fingerprint both in the A$_{1g}$ and B$_{1g}$ phonon mode linewidth
and energy. In the energy range between 400 and 650 cm$^{-1}$ we have observed
magnetic excitation related structure in the form of magnon continuum, with the
peaks corresponding to the singularities in the one dimensional density of
magnon states. The onset value of magnetic continuum (2$\Delta_{S}$) is found
at about 437 cm$^{-1}$ at 15 K. The magnetic continuum disappears at about 623
K, which lead us to conclude that the short-range magnetic ordering in
BaFe$_2$Se$_2$O exists apparently up to 2.6$T_N$.


title: Continued fractions with SL(2, Z)-branches: combinatorics and entropy

abstract:
  We study the dynamics of a family K_alpha of discontinuous interval maps
whose (infinitely many) branches are Moebius transformations in SL(2, Z), and
which arise as the critical-line case of the family of (a, b)-continued
fractions. We provide an explicit construction of the bifurcation locus E_KU
for this family, showing it is parametrized by Farey words and it has Hausdorff
dimension zero. As a consequence, we prove that the metric entropy of K_alpha
is analytic outside the bifurcation set but not differentiable at points of
E_KU, and that the entropy is monotone as a function of the parameter. Finally,
we prove that the bifurcation set is combinatorially isomorphic to the main
cardioid in the Mandelbrot set, providing one more entry to the dictionary
developed by the authors between continued fractions and complex dynamics.


title:
Beat note stabilization of mode-locked lasers for quantum information
  processing

abstract:
  We stabilize a chosen radiofrequency beat note between two optical fields
derived from the same mode-locked laser pulse train, in order to coherently
manipulate quantum information. This scheme does not require access or active
stabilization of the laser repetition rate. We implement and characterize this
external lock, in the context of two-photon stimulated Raman transitions
between the hyperfine ground states of trapped 171-Yb+ quantum bits.


title:
$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at
  $\theta=\pi$

abstract:
  We study the two and three-dimensional Antiferromagnetic Ising Model with an
imaginary magnetic field $i\theta$ at $\theta = \pi$. We use a new geometric
algorithm which does not present a sign problem. This allows us to perform
efficient numerical simulations of this system.


title: Wigner functions and spin tomograms for qubit states

abstract:
  We establish the relation of the spin tomogram to the Wigner function on a
discrete phase space of qubits. We use the quantizers and dequantizers of the
spin tomographic star-product scheme for qubits to derive the expression for
the kernel connecting Wigner symbols on the discrete phase space with the
tomographic symbols.


title: Speech Recognition Front End Without Information Loss

abstract:
  Speech representation and modelling in high-dimensional spaces of acoustic
waveforms, or a linear transformation thereof, is investigated with the aim of
improving the robustness of automatic speech recognition to additive noise. The
motivation behind this approach is twofold: (i) the information in acoustic
waveforms that is usually removed in the process of extracting low-dimensional
features might aid robust recognition by virtue of structured redundancy
analogous to channel coding, (ii) linear feature domains allow for exact noise
adaptation, as opposed to representations that involve non-linear processing
which makes noise adaptation challenging. Thus, we develop a generative
framework for phoneme modelling in high-dimensional linear feature domains, and
use it in phoneme classification and recognition tasks. Results show that
classification and recognition in this framework perform better than analogous
PLP and MFCC classifiers below 18 dB SNR. A combination of the high-dimensional
and MFCC features at the likelihood level performs uniformly better than either
of the individual representations across all noise levels.


title: A note on 2-local representations of C$^*$-algebras

abstract:
  We survey the results on linear local and 2-local homomorphisms and zero
products preserving operators between C$^*$-algebras, and we incorporate some
new precise observations and results to prove that every bounded linear 2-local
homomorphism between C$^*$-algebras is a homomorphism. Consequently, every
linear 2-local $^*$-homomorphism between C$^*$-algebras is a $^*$-homomorphism.


title:
Possibility of obtaining atomic metallic hydrogen by electrochemical
  method

abstract:
  In this work we show, that atomic metallic hydrogen (AMH) is formed inside of
sintered oxide-nickel electrodes of nickel-cadmium battery over a long period
of electrochemical hydrogenation (more than five years). It was established
that density AMH is 12 times higher, than the density of liquid molecular
hydrogen, the specific energy of hydrogen recombination is 20 times higher than
of liquid hydrogen-oxygen fuel. At the room temperature AMH is a good
conductor, but not a superconductor.


title: No-pumping theorem for many particle stochastic pumps

abstract:
  Stochastic pumps are models of artificial molecular machines which are driven
by periodic time variation of parameters, such as site and barrier energies.
The no-pumping theorem states that no directed motion is generated by variation
of only site or barrier energies [S. Rahav, J. Horowitz, and C. Jarzynski,
Phys. Rev. Lett., 101, 140602 (2008)]. We study stochastic pumps of several
interacting particles and demonstrate that the net current of particles satisfy
an additional no- pumping theorem.


title: Gamma-ray effects of dark forces in dark matter clumps

abstract:
  Existence of new gauge U(1) symmetry possessed by dark matter (DM) particles
implies the existence of a new Coulomb-like interaction, which leads to
Sommerfeld-Gamow-Sakharov enhancement of dark matter annihilation at low
relative velocities. We discuss a possibility to put constraints on the such
dark forces of dark matter from the observational data on the gamma radiation
in our Galaxy. Gamma-rays are supposed to originate from annihilation of DM
particles in the small scale clumps, in which annihilation rate is supposed to
be enhanced, besides higher density, due to smaller relative velocities $v$ of
DM particles. For possible cross sections, mass of annihilating particles,
masses of clumps and the contribution of annihilating particles in the total DM
density we constrain the strength of new dark long range forces from comparison
of predicted gamma ray signal with Fermi/LAT data on unidentified point-like
gamma-ray sources (PGS) as well as on diffuse $\gamma$-radiation.


title:
Charmonium-like structures with the open-charm and the open-strange
  channels

abstract:
  The relativistic four-quark equations with the open-charm and the
open-strange are found in the framework of coupled-channel formalism. The
dynamical mixing of the meson-meson states with the four-quark states is
considered. The four-quark amplitudes including the quarks of four flavors (u,
d, s, c) are constructed. The poles of these amplitudes determine the masses of
tetraquarks. The mass values of the tetraquarks with the spin-parity JP=1-,2-
are calculated.


title: Thermal transport and quench relaxation in nonlinear Luttinger liquids

abstract:
  One-dimensional electrons with a linearized dispersion relation are
equivalent to a collection of harmonic plasmon modes, which represent long
wavelength density oscillations. An immediate consequence of this Luttinger
model of one-dimensional electron systems is the absence of inelastic
scattering processes responsible for the relaxation of nonequilibrium states.
In a generic nonlinear Luttinger liquid plasmons may decay and thus acquire a
finite lifetime. We show that equilibration of plasmons is hierarchical and has
profound implications for the dynamics after a thermal quench. We also develop
a thermal transport theory and compute thermal conductance of the nonlinear
Luttinger liquid by treating the collision integral of plasmons in a manifestly
nonperturbative way.


title: Ramification conjecture and Hirzebruch's property of line arrangements

abstract:
  The ramification of a polyhedral space is defined as the metric completion of
the universal cover of its regular locus.
  We consider mainly polyhedral spaces of two origins: quotients of Euclidean
space by a discrete group of isometries and polyhedral metrics on the complex
projective plane with singularities at a collection of complex lines.
  In the former case we conjecture that quotient spaces always have a CAT[0]
ramification and prove this in several cases. In the latter case we prove that
the ramification is CAT[0] if the metric is non-negatively curved. We deduce
that complex line arrangements in the complex projective plane studied by
Hirzebruch have aspherical complement.


title: Heavy Flavor in Medium Momentum Evolution: Langevin vs Boltzmann

abstract:
  The propagation of heavy quarks in the quark-gluon plasma (QGP) has been
often treated within the framework of the Langevin equation (LV), i.e. assuming
the momentum transfer is small or the scatterings are sufficiently forward
peaked, small screening mass $m_D$. We address a direct comparison between the
Langevin dynamics and the Boltzmann collisional integral (BM) when a bulk
medium is in equilibrium at fixed temperature. We show that unless the cross
section is quite forward peaked ($m_D\cong T $) or the mass to temperature
ratio is quite large ($M_{HQ}/T \gtrsim 8-10$) there are significant
differences in the evolution of the $p-$spectra and consequently on nuclear
modification factor $R_{AA}(p_T)$. However for charm quark we find that very
similar $R_{AA}(p_T)$ between the LV and BM can be obtained, but with a
modified diffusion coefficient by about $\sim 15-50\%$ depending on the angular
dependence of the cross section which regulates the momentum transfer. Studying
also the momentum spread suffered by a single heavy quarks we see that at
temperatures $T\gtrsim \, 250\,\rm MeV$ the dynamics of the scatterings is far
from being of Brownian type for charm quarks. In the case of bottom quarks we
essentially find no differences in the time evolution of the momentum spectra
between the LV and the BM dynamics independently of the angular dependence of
the cross section, at least in the range of temperature relevant for
ultra-relativistic heavy-ion collisions. Finally, we have shown the possible
impact of this study on $R_{AA}(p_T)$ and $v_2(p_T)$ for a realistic simulation
of relativistic HIC. For larger $m_D$ the elliptic flow can be about $50\%$
larger for the Boltzmann dynamics with respect to the Langevin. This is helpful
for a simultaneous reproduction of $R_{AA}(p_T)$ and $v_2(p_T)$.


title: Magnetic moments of active and sterile neutrinos

abstract:
  Since most of the neutrino parameters are well-measured, we illustrate
precisely the prediction of the Standard Model, minimally extended to allow
massive neutrinos, for the electron neutrino magnetic moment. We elaborate on
the effects of light sterile neutrinos on the effective electron neutrino
magnetic moment measured at the reactors. We explicitly show that the
kinematical effects of the neutrino masses are negligible even for light
sterile neutrinos.


title:
Common 0.1 bar Tropopause in Thick Atmospheres Set by Pressure-Dependent
  Infrared Transparency

abstract:
  A minimum atmospheric temperature, or tropopause, occurs at a pressure of
around 0.1 bar in the atmospheres of Earth, Titan, Jupiter, Saturn, Uranus and
Neptune, despite great differences in atmospheric composition, gravity,
internal heat and sunlight. In all these bodies, the tropopause separates a
stratosphere with a temperature profile that is controlled by the absorption of
shortwave solar radiation, from a region below characterised by convection,
weather, and clouds. However, it is not obvious why the tropopause occurs at
the specific pressure near 0.1 bar. Here we use a physically-based model to
demonstrate that, at atmospheric pressures lower than 0.1 bar, transparency to
thermal radiation allows shortwave heating to dominate, creating a
stratosphere. At higher pressures, atmospheres become opaque to thermal
radiation, causing temperatures to increase with depth and convection to ensue.
A common dependence of infrared opacity on pressure, arising from the shared
physics of molecular absorption, sets the 0.1 bar tropopause. We hypothesize
that a tropopause at a pressure of approximately 0.1 bar is characteristic of
many thick atmospheres, including exoplanets and exomoons in our galaxy and
beyond. Judicious use of this rule could help constrain the atmospheric
structure, and thus the surface environments and habitability, of exoplanets.