title:
Multi-scale dynamical analysis (MSDA) of sea level records versus PDO,
  AMO, and NAO indexes

abstract:
  Herein I propose a multi-scale dynamical analysis to facilitate the physical
interpretation of tide gauge records. The technique uses graphical diagrams. It
is applied to six secular-long tide gauge records representative of the world
oceans: Sydney, Pacific coast of Australia; Fremantle, Indian Ocean coast of
Australia; New York City, Atlantic coast of USA; Honolulu, U.S. state of
Hawaii; San Diego, U.S. state of California; and Venice, Mediterranean Sea,
Italy. For comparison, an equivalent analysis is applied to the Pacific Decadal
Oscillation (PDO) index and to the Atlantic Multidecadal Oscillation (AMO)
index. Finally, a global reconstruction of sea level and a reconstruction of
the North Atlantic Oscillation (NAO) index are analyzed and compared: both
sequences cover about three centuries from 1700 to 2000. The proposed
methodology quickly highlights oscillations and teleconnections among the
records at the decadal and multidecadal scales. At the secular time scales tide
gauge records present relatively small (positive or negative) accelerations, as
found in other studies. On the contrary, from the decadal to the secular scales
(up to 110-year intervals) the tide gauge accelerations oscillate significantly
from positive to negative values mostly following the PDO, AMO and NAO
oscillations. In particular, the influence of a large quasi 60-70 year natural
oscillation is clearly demonstrated in these records. The multiscale dynamical
evolutions of the rate and of the amplitude of the annual seasonal cycle of the
chosen six tide gauge records are also studied.


title: Improvement of Main Drift Chamber Monte-Carlo tuning model at BESIII

abstract:
  Based on real data, a new parameterized model of the Main Drift Chamber
response is proposed. In this model, we tune the ratio of good hits and the
residual distribution separately. The difference between simulation and data in
track reconstruction efficiency reduces from 1% to 0.5%, and the momentum
resolution agreement improves significantly.


title: Size consistency of tensor network methods for quantum many-body systems

abstract:
  Recently developed tensor network methods demonstrate great potential for
addressing the quantum many-body problem, by constructing variational spaces
with polynomially, instead of exponentially, scaled parameters. Constructing
such an efficient tensor network, and thus the variational space, is a subtle
problem and the main obstacle of the method. We demonstrate the necessity of
size consistency in tensor network methods for their success in addressing the
quantum many-body problem. We further demonstrate that size consistency is
independent of the entanglement criterion, thus providing a general and tight
constraint to construct the tensor network method.


title:
Quantitative study of the spin Hall magnetoresistance in ferromagnetic
  insulator/normal metal hybrids

abstract:
  We experimentally investigate and quantitatively analyze the spin Hall
magnetoresistance effect in ferromagnetic insulator/platinum and ferromagnetic
insulator/nonferromagnetic metal/platinum hybrid structures. For the
ferromagnetic insulator we use either yttrium iron garnet, nickel ferrite or
magnetite and for the nonferromagnet copper or gold. The spin Hall
magnetoresistance effect is theoretically ascribed to the combined action of
spin Hall and inverse spin Hall effect in the platinum metal top layer. It
therefore should characteristically depend upon the orientation of the
magnetization in the adjacent ferromagnet, and prevail even if an additional,
nonferromagnetic metal layer is inserted between Pt and the ferromagnet. Our
experimental data corroborate these theoretical conjectures. Using the spin
Hall magnetoresistance theory to analyze our data, we extract the spin Hall
angle and the spin diffusion length in platinum. For a spin mixing conductance
of $4\times10^{14}\;\mathrm{\Omega^{-1}m^{-2}}$ we obtain a spin Hall angle of
$0.11\pm0.08$ and a spin diffusion length of $(1.5\pm0.5)\;\mathrm{nm}$ for Pt
in our thin film samples.


title:
Iterative Detection and Decoding for MIMO Systems with Knowledge-Aided
  Message Passing Algorithms

abstract:
  In this paper, we consider the problem of iterative detection and decoding
(IDD) for multi-antenna systems using low-density parity-check (LDPC) codes.
The proposed IDD system consists of a soft-input soft-output parallel
interference (PIC) cancellation scheme with linear minimum mean-square error
(MMSE) receive filters and two novel belief propagation (BP) decoding
algorithms. The proposed BP algorithms exploit the knowledge of short cycles in
the graph structure and the reweighting factors derived from the hypergraph's
expansion. Simulation results show that when used to perform IDD for
multi-antenna systems both proposed BP decoding algorithms can consistently
outperform existing BP techniques with a small number of decoding iterations.


title: Further hardness results on the generalized connectivity of graphs

abstract:
  The generalized $k$-connectivity $\kappa_k(G)$ of a graph $G$ was introduced
by Chartrand et al. in 1984, which is a nice generalization of the classical
connectivity. Recently, as a natural counterpart, Li et al. proposed the
concept of generalized edge-connectivity for a graph. In this paper, we
determine the computational complexity of the generalized connectivity and
generalized edge-connectivity of a graph. Two conjectures are also proved to be
true.


title:
Adaptive Iterative Decision Feedback Detection Algorithms for Multi-User
  MIMO Systems

abstract:
  An adaptive iterative decision multi-feedback detection algorithm with
constellation constraints is proposed for multiuser multi-antenna systems. An
enhanced detection and interference cancellation is performed by introducing
multiple constellation points as decision candidates. A complexity reduction
strategy is developed to avoid redundant processing with reliable decisions
along with an adaptive recursive least squares algorithm for time-varying
channels. An iterative detection and decoding scheme is also considered with
the proposed detection algorithm. Simulations show that the proposed technique
has a complexity as low as the conventional decision feedback detector while it
obtains a performance close to the maximum likelihood detector.


title:
An Eulerian space-time finite element method for diffusion problems on
  evolving surfaces

abstract:
  In this paper, we study numerical methods for the solution of partial
differential equations on evolving surfaces. The evolving hypersurface in
$\Bbb{R}^d$ defines a $d$-dimensional space-time manifold in the space-time
continuum $\Bbb{R}^{d+1}$. We derive and analyze a variational formulation for
a class of diffusion problems on the space-time manifold. For this variational
formulation new well-posedness and stability results are derived. The analysis
is based on an inf-sup condition and involves some natural, but non-standard,
(anisotropic) function spaces. Based on this formulation a discrete in time
variational formulation is introduced that is very suitable as a starting point
for a discontinuous Galerkin (DG) space-time finite element discretization.
This DG space-time method is explained and results of numerical experiments are
presented that illustrate its properties.


title:
Interfacial tuning of perpendicular magnetic anisotropy and spin
  magnetic moment in CoFe/Pd multilayers

abstract:
  We report on a strong perpendicular magnetic anisotropy in [CoFe 0.4nm/Pd t]6
(t = 1.0-2.0 nm) multilayers fabricated by DC sputtering in a ultrahigh vacuum
chamber. Saturation magnetization, $M_s$, and uniaxial anisotropy, $K_u$, of
the multilayers decrease with increasing the spacing thickness, with a $M_s$ of
155 emu/cc and a $K_u$ of 1.14$\times 10^5$ J/m$^3$ at a spacing thickness of t
= 2 nm. X-ray absorption spectroscopy and X-ray magnetic circular dichroism
measurements reveal that spin and orbital magnetic moments of Co and Fe in CoFe
film decrease as function of Pd thickness, indicating the major contribution of
surface/interfacial magnetism to the magnetic properties of the film.


title:
Linear Precoding for Broadcast Channels with Confidential Messages under
  Transmit-Side Channel Correlation

abstract:
  In this paper, we analyze the performance of regularized channel inversion
(RCI) precoding in multiple-input single-output (MISO) broadcast channels with
confidential messages under transmit-side channel correlation. We derive a
deterministic equivalent for the achievable per-user secrecy rate which is
almost surely exact as the number of transmit antennas and the number of users
grow to infinity in a fixed ratio, and we determine the optimal regularization
parameter that maximizes the secrecy rate. Furthermore, we obtain deterministic
equivalents for the secrecy rates achievable by: (i) zero forcing precoding and
(ii) single user beamforming. The accuracy of our analysis is validated by
simulations of finite-size systems.


title: Genetic analysis of differentiation of T-helper lymphocytes

abstract:
  In the human immune system, T-helper cells are able to differentiate into two
lymphocyte subsets: Th1 and Th2. The intracellular signaling pathways of
differentiation form a dynamic regulation network by secreting distinctive
types of cytokines, while differentiation is regulated by two major gene loci:
T-bet and GATA-3. We developed a system dynamics model to simulate the
differentiation and re-differentiation process of T-helper cells, based on gene
expression levels of T-bet and GATA-3 during differentiation of these cells. We
arrived at three ultimate states of the model and came to the conclusion that
cell differentiation potential exists as long as the system dynamics is at an
unstable equilibrium point; the T-helper cells will no longer have the
potential of differentiation when the model reaches a stable equilibrium point.
In addition, the time lag caused by expression of transcription factors can
lead to oscillations in the secretion of cytokines during differentiation.


title:
Secrecy Sum-Rates with Regularized Channel Inversion Precoding under
  Imperfect CSI at the Transmitter

abstract:
  In this paper, we study the performance of regularized channel inversion
precoding in MISO broadcast channels with confidential messages under imperfect
channel state information at the transmitter (CSIT). We obtain an approximation
for the achievable secrecy sum-rate which is almost surely exact as the number
of transmit antennas and the number of users grow to infinity in a fixed ratio.
Simulations prove this anaylsis accurate even for finite-size systems. For FDD
systems, we determine how the CSIT error must scale with the SNR, and we derive
the number of feedback bits required to ensure a constant high-SNR rate gap to
the case with perfect CSIT. For TDD systems, we study the optimum amount of
channel training that maximizes the high-SNR secrecy sum-rate.


title: Dynamical noncommutative quantum mechanics

abstract:
  We study some basic and interesting quantum mechanical systems in dynamical
noncommutative spaces in which the space- space commutation relations are
position dependent. It is observed that the fundamental objects in the
dynamical noncommutative space introduced here are stringlike. We show that the
Stark effect can be employed to determine whether the noncommutativity of space
is dynamical or non-dynamical. It appears that unlike non-dynamical case there
is a fundamental energy $\dfrac{\tau\hbar^{2}}{m}$ in this dynamical space.}


title:
Separation Properties and Related Bounds of Collusion-secure
  Fingerprinting Codes

abstract:
  In this paper we investigate the separation properties and related bounds of
some codes. We tried to obtain a new existence result for $(w_1,
w_2)$-separating codes and discuss the "optimality" of the upper bounds. Next
we tried to study some interesting relationship between separation and
existence of non-trivial subspace subcodes for Reed-Solomon codes.


title: Two radiative inverse seesaw models, dark matter, and baryogenesis

abstract:
  The inverse seesaw mechanism allows the neutrino masses to be generated by
new physics at an experimentally accessible scale, even with O(1) Yukawa
couplings. In the inverse seesaw scenario, the smallness of neutrino masses is
linked to the smallness of a lepton number violating parameter. This parameter
may arise radiatively. In this paper, we study the cosmological implications of
two contrasting radiative inverse seesaw models, one due to Ma and the other to
Law and McDonald. The former features spontaneous, the latter explicit lepton
number violation. First, we examine the effect of the lepton-number violating
interactions introduced in these models on the baryon asymmetry of the
universe. We investigate under what conditions a pre-existing baryon asymmetry
does not get washed out. While both models allow a baryon asymmetry to survive
only once the temperature has dropped below the mass of their heaviest fields,
the Ma model can create the baryon asymmetry through resonant leptogenesis.
Then we investigate the viability of the dark matter candidates arising within
these models, and explore the prospects for direct detection. We find that the
Law/McDonald model allows a simple dark matter scenario similar to the Higgs
portal, while in the Ma model the simplest cold dark matter scenario would tend
to overclose the universe.


title: Consistent scaling laws in anelastic spherical shell dynamos

abstract:
  Numerical dynamo models always employ parameter values that differ by orders
of magnitude from the values expected in natural objects. However, such models
have been successful in qualitatively reproducing properties of planetary and
stellar dynamos. This qualitative agreement fuels the idea that both numerical
models and astrophysical objects may operate in the same asymptotic regime of
dynamics. This can be tested by exploring the scaling behavior of the models.
For convection-driven incompressible spherical shell dynamos with constant
material properties, scaling laws had been established previously that relate
flow velocity and magnetic field strength to the available power. Here we
analyze 273 direct numerical simulations using the anelastic approximation,
involving also cases with radius-dependent magnetic, thermal and viscous
diffusivities. These better represent conditions in gas giant planets and
low-mass stars compared to Boussinesq models. Our study provides strong support
for the hypothesis that both mean velocity and mean magnetic field strength
scale as a function of power generated by buoyancy forces in the same way for a
wide range of conditions.


title:
A note on the CLT of the LSS for sample covariance matrix from a spiked
  population model

abstract:
  In this note, we establish an asymptotic expansion for the centering
parameter appearing in the central limit theorems for linear spectral statistic
of large-dimensional sample covariance matrices when the population has a
spiked covariance structure. As an application, we provide an asymptotic power
function for the corrected likelihood ratio statistic for testing the presence
of spike eigenvalues in the population covariance matrix. This result
generalizes an existing formula from the literature where only one simple spike
exists.


title: Hedging in bond markets by the Clark-Ocone formula

abstract:
  Hedging strategies in bond markets are computed by martingale representation
and the Clark-Ocone formula under the choice of a suitable of numeraire, in a
model driven by the dynamics of bond prices. Applications are given to the
hedging of swaptions and other interest rate derivatives, and our approach is
compared to delta hedging when the underlying swap rate is modeled by a
diffusion process.


title:
Kochen-Specker Sets with Thirty Rank-Two Projectors in Three-Qubit
  System

abstract:
  A simple three rules supplemented by five steps scheme is proposed to produce
Kochen-Specker (KS) sets with 30 rank-2 projectors that occur twice each. The
KS sets provide state-independent proof of KS theorem based on a system of
three qubits. A small adjustment of the scheme enables us to manually generate
a large number of KS sets with a mixture of rank-1 and rank-2 projectors.


title: Convolution properties of some harmonic mappings in the right-half plane

abstract:
  Dorff, proved in [2] that the convolution of two harmonic right-half plane
mappings is convex in the direction of real axis provided that the convolution
is locally univalent and sense preserving. Later, it was shown in [3] that the
condition of locally univalent and sense preserving can be dropped in some
special cases. In this paper, we generalize the main result from [3].


title: On second case of Strong Fermat's Last Theorem conjecture

abstract:
  This article deals with a conjecture, introduced in [GQ] (hereinafter
$SFLT2$), which generalizes the second case of Fermat's Last Theorem: {\it Let
$p>3$ be a prime. The diophantine equation $\frac{u^p+v^p}{u+v}=w_1^p$ with
$u,v,u+v, w_1\in\Z\backslash\{0\}$, $u,v$ coprime and $v\equiv 0 \mod p$ has no
solution.} Let $\zeta$ be a $p$th primitive root of unity and $K:=\Q(\zeta)$. A
prime $q$ is said {\it $p$-principal} if the class of any prime ideal
$\mathfrak q_K$ of $K$ over $q$ is a $p$-power of a class.
  Assume that $SFLT2$ fails for $(p,u,v)$. Let $q$ be any odd prime coprime
with $puv$, $f$ the order of $q\mod p$, $n$ the order of $\frac{v}{u}\mod q$,
$\xi$ a primitive $n$th root of unity, $\mathfrak q$ the prime ideal
$(q,u\xi-v)$ of $\Q(\xi)$. In this complement of the article [GQ] revisiting
some works of Vandiver, we prove that, if $q$ is {\it $p$-principal} and
$n\not=2p$ then $$\Big(\frac{1+\xi\zeta^k}{1+\xi\zeta}\Big)^{(q^f-1)/p}\equiv
1\mod \mathfrak q for k=1,\dots,p-1.$$ We shall derive, by example, of this
congruence that, for $p$ sufficiently large, a very large number of primes
should divide $v$. In an other hand we shall show that if $q$ is any prime of
order $f\mod p$ dividing $(u^p+v^p)$ then $$(1-\zeta)^{(q^f-1)/p}\equiv
p^{-(q^f-1)/p}\mod q, $$ and a result of same nature if $q$ divides $u^p-v^p$,
which reinforces strongly the first and second theorem of Furtw\"angler. The
principle of proof relies on the $p$-Hilbert class field theory.
  Keywords: Fermat's Last Theorem; cyclotomic fields; cyclotomic units; class
field theory; Vandiver's and Furtw\"angler's theorems


title:
Boosting the Rotational Sensitivity of Matter-wave Interferometry with
  Nonlinearity

abstract:
  We propose a mechanism to use nonlinearity arising from inter-particle
interactions to significantly enhance rotation sensitivity of matter-wave
interferometers. The method relies on modifying Sagnac interferometers by
introducing a weak circular lattice potential that couples modes with opposite
orbital angular momenta (OAM). The primary observable comprises of the modal
population distributions measured at particular times. This provides an
alternate mechanism for rotation sensing that requires substantially smaller
ring size, even in the linear non-interacting regime. Nonlinearity can improve
the sensitivity, as well as operation timescales, by several orders of
magnitude.


title:
Simultaneous least squares fitter based on the Lagrange multiplier
  method

abstract:
  We developed a least squares fitter used for extracting expected physics
parameters from the correlated experimental data in high energy physics. This
fitter considers the correlations among the observables and handles the
nonlinearity using linearization during the $\chi^2$ minimization. This method
can naturally be extended to the analysis with external inputs. By
incorporating with Lagrange multipliers, the fitter includes constraints among
the measured observables and the parameters of interest. We applied this fitter
to the study of the $D^{0}-\bar{D}^{0}$ mixing parameters as the test-bed based
on MC simulation. The test results show that the fitter gives unbiased
estimators with correct uncertainties and the approach is credible.


title: Holographic droplets in p-wave insulator/superconductor transition

abstract:
  In the present paper, based on the notion of marginally stable modes of
vector perturbations in the AdS soliton back ground we investigate the magnetic
field effect on holographic $ p $- wave insulator/superconductor transition in
the probe limit. We perform explicit analytic calculations considering both
Schwarzschild AdS soliton and Gauss Bonnet AdS soliton back grounds and obtain
a unique relation between the chemical potential and the magnetic field near
the critical point. We also extend our analysis for $ p+ip $- wave back ground
in the presence of external magnetic field. In both the cases it is observed
that the non abelian model exhibit \textit{droplet} solutions. Moreover it is
also found that the increase in the value of the external magnetic field
essentially reduces the size of the droplet and thereby makes the condensation
harder.


title: Outage Probability in Arbitrarily-Shaped Finite Wireless Networks

abstract:
  This paper analyzes the outage performance in finite wireless networks.
Unlike most prior works, which either assumed a specific network shape or
considered a special location of the reference receiver, we propose two general
frameworks for analytically computing the outage probability at any arbitrary
location of an arbitrarily-shaped finite wireless network: (i) a moment
generating function-based framework which is based on the numerical inversion
of the Laplace transform of a cumulative distribution and (ii) a reference link
power gain-based framework which exploits the distribution of the fading power
gain between the reference transmitter and receiver. The outage probability is
spatially averaged over both the fading distribution and the possible locations
of the interferers. The boundary effects are accurately accounted for using the
probability distribution function of the distance of a random node from the
reference receiver. For the case of the node locations modeled by a Binomial
point process and Nakagami-$m$ fading channel, we demonstrate the use of the
proposed frameworks to evaluate the outage probability at any location inside
either a disk or polygon region. The analysis illustrates the location
dependent performance in finite wireless networks and highlights the importance
of accurately modeling the boundary effects.


title: First observation of CP violation in the decays of Bs mesons

abstract:
  Using pp collision data, corresponding to an integrated luminosity of $1.0
\mathrm{fb}^{-1}$, collected by LHCb in 2011 at a center-of-mass energy of 7
TeV, we report the measurement of direct CP violation in $B^0_s \to K^-\pi^+$
decays, $A_{C/!P}(B^0_s \rightarrow K^- \pi^+)=0.27 \pm 0.04\,\mathrm{(stat)}
\pm 0.01\,\mathrm{(syst)}$, with significance exceeding five standard
deviations. This is the first observation of CP violation in the decays of
$B^0_s$ mesons. Furthermore, we provide an improved determination of direct CP
violation in $B^0 \to K^+\pi^-$ decays, $A_{C/!P}(B^0\rightarrow K^+
\pi^-)=-0.080 \pm 0.007\,\mathrm{(stat)} \pm 0.003\,\mathrm{(syst)}$, which is
the most precise measurement of this quantity to date.


title: How Hard Is It to Control an Election by Breaking Ties?

abstract:
  We study the computational complexity of controlling the result of an
election by breaking ties strategically. This problem is equivalent to the
problem of deciding the winner of an election under parallel universes
tie-breaking. When the chair of the election is only asked to break ties to
choose between one of the co-winners, the problem is trivially easy. However,
in multi-round elections, we prove that it can be NP-hard for the chair to
compute how to break ties to ensure a given result. Additionally, we show that
the form of the tie-breaking function can increase the opportunities for
control. Indeed, we prove that it can be NP-hard to control an election by
breaking ties even with a two-stage voting rule.


title: Variations of mass formulas for definite division algebras

abstract:
  The aim of this paper is to organize some known mass formulas arising from a
definite central division algebra over a global field and to deduce some more
new ones.


title:
An Auction Mechanism for Resource Allocation in Mobile Cloud Computing
  Systems

abstract:
  A mobile cloud computing system is composed of heterogeneous services and
resources to be allocated by the cloud service provider to mobile cloud users.
On one hand, some of these resources are substitutable (e.g., users can use
storage from different places) that they have similar functions to the users.
On the other hand, some resources are complementary that the user will need
them as a bundle (e.g., users need both wireless connection and storage for
online photo posting). In this paper, we first model the resource allocation
process of a mobile cloud computing system as an auction mechanism with premium
and discount factors. The premium and discount factors indicate complementary
and substitutable relations among cloud resources provided by the service
provider. Then, we analyze the individual rationality and incentive
compatibility (truthfulness) properties of the users in the proposed auction
mechanism. The optimal solutions of the resource allocation and cost charging
schemes in the auction mechanism is discussed afterwards.


title: Study on efficiency of event start time determination at BESIII

abstract:
  A method to estimate efficiency of event start time determination at BESIII
is developed. This method estimates the efficiency at the event level by
combining the efficiencies of various tracks ($e$, $\mu$, $\pi$, K, $p$,
$\gamma$) in a Bayesian way. Efficiencies results and difference between data
and MC at the track level are presented in this paper. For a given physics
channel, event start time efficiency and systematic error can be estimated
following this method.


title: The Lyapunov exponent of holomorphic maps

abstract:
  For any polynomial map with a single critical point, we prove that its lower
Lyapunov exponent at the critical value is negative if and only if the map has
an attracting cycle. Similar statement holds for the exponential maps and some
other complex dynamical systems. We prove further that for the unicritical
polynomials with positive area Julia sets almost every point of the Julia set
has zero Lyapunov exponent. Part of this statement generalizes as follows:
every point with positive upper Lyapunov exponent in the Julia set of an
arbitrary polynomial is not a Lebegue density point.


title: On Furtw\"angler's theorems and second case of Fermat's Last Theorem

abstract:
  This article, complement to the article [Que], deals with some
generalizations of Futw\"angler's theorems for the second case of Fermat's Last
Theorem (FLT2). Let $p$ be an odd prime, $\zeta$ a $p$th primitive root of
unity, $K:=\Q(\zeta)$ and $C\ell_K$ the class group of $K$. A prime $q$ is said
$p$-principal if the class $c\ell_K (\mk q_K)\in C\ell_K$ of any prime ideal
$\mk q_K$ of $\Z_K$ over $q$ is the $p$th power of a class.
  Assume that FLT2 fails for $(p,x,y,z)$ where $x, y, z$ are mutually coprime
integers, $p$ divides $y$ and $x^p+y^p+z^p=0$. Let $q$ be a prime dividing
$\frac{(x^p+y^p)(y^p+z^p)(z^p+x^p)}{(x+y)(y+z)(z+x)}$ and $\mk q_K$ be any
prime ideal of $K$ over $q$. We obtain the $p$-power residue symbols relations:
  $$(\frac{p}{\mk q_K})_K=(\frac{1-\zeta^j}{\mk q_K})_K for j=1,\dots,p-1.$$
  As an application, we prove that: if Vandiver's conjecture holds for $p$ then
$q$ is a $p$-principal prime.
  Similarly, let $q$ be a prime dividing
$\frac{(x^p-y^p)(y^p-z^p)(z^p-x^p)}{(x-y)(y-z)(z-x)}$ and $\mk q_K$ be the
prime ideal of $K$ over $q$ dividing $(x\zeta-y)(z\zeta-y)(x\zeta -z)$. We give
an explicit formula for the $p$-power residue symbols $(\frac{\epsilon_{k}}{\mk
q_K})_K$ for all $k$ with $1<k\leq\frac{p-1}{2},$ where $\epsilon_k$ is the
cyclotomic unit given by
$\epsilon_k=:\zeta^{(1-k)/2}\cdot\frac{1+\zeta^k}{1+\zeta}.$
  The principle of proofs rely on the $p$-Hilbert class field theory.


title: Helicoidal minimal surfaces of prescribed genus, II

abstract:
  We prove that for each positive integer g, there exists a complete minimal
surface of genus g that is properly embedded in three-dimensional euclidean
space and that is asymptotic to the helicoid.


title: Evaluating Web Content Quality via Multi-scale Features

abstract:
  Web content quality measurement is crucial to various web content processing
applications. This paper will explore multi-scale features which may affect the
quality of a host, and develop automatic statistical methods to evaluate the
Web content quality. The extracted properties include statistical content
features, page and host level link features and TFIDF features. The experiments
on ECML/PKDD 2010 Discovery Challenge data set show that the algorithm is
effective and feasible for the quality tasks of multiple languages, and the
multi-scale features have different identification ability and provide good
complement to each other for most tasks.


title:
Stochastic Recursive Optimal Control Problem with Time Delay and
  Applications

abstract:
  This paper is concerned with a stochastic recursive optimal control problem
with time delay, where the controlled system is described by a stochastic
differential delayed equation (SDDE) and the cost functional is formulated as
the solution to a backward SDDE (BSDDE). When there are only the pointwise and
distributed time delays in the state variable, a generalized
Hamilton-Jacobi-Bellman (HJB) equation for the value function in finite
dimensional space is obtained, applying dynamic programming principle. This
generalized HJB equation admits a smooth solution when the coefficients satisfy
a particular system of first order partial differential equations (PDEs). A
sufficient maximum principle is derived, where the adjoint equation is a
forward-backward SDDE (FBSDDE). Under some differentiability assumptions, the
relationship between the value function, the adjoint processes and the
generalized Hamiltonian function is obtained. A consumption and portfolio
optimization problem with recursive utility in the financial market, is
discussed to show the applications of our result. Explicit solutions in a
finite dimensional space derived by the two different approaches, coincide.


title: Halo-independent analysis of direct detection data for light WIMPs

abstract:
  We present a halo-independent analysis of direct detection data on "light
WIMPs," i.e. weakly interacting massive particles with mass close to or below
10 GeV/c^2. We include new results from silicon CDMS detectors (bounds and
excess events), the latest CoGeNT acceptances, and recent measurements of low
sodium quenching factors in NaI crystals. We focus on light WIMPs with
spin-independent isospin-conserving and isospin-violating interactions with
nucleons. For these dark matter candidates we find that a low quenching factor
would make the DAMA modulation incompatible with a reasonable escape velocity
for the dark matter halo, and that the tension among experimental data tightens
in both the isospin-conserving and isospin-violating scenarios. We also find
that a new although milder tension appears between the CoGeNT and DAMA annual
modulations on one side and the silicon excess events on the other, in that it
seems difficult to interpret them as the modulated and unmodulated aspects of
the same WIMP dark matter signal.


title: Layered convection as the origin of Saturn's luminosity anomaly

abstract:
  As they keep cooling and contracting, Solar System giant planets radiate more
energy than they receive from the Sun. Applying the first and second principles
of thermodynamics, one can determine their cooling rate, luminosity, and
temperature at a given age. Measurements of Saturn's infrared intrinsic
luminosity, however, reveal that this planet is significantly brighter than
predicted for its age. This excess luminosity is usually attributed to the
immiscibility of helium in the hydrogen-rich envelope, leading to "rains" of
helium-rich droplets. Existing evolution calculations, however, suggest that
the energy released by this sedimentation process may not be sufficient to
resolve the puzzle. Here, we demonstrate using planetary evolution models that
the presence of layered convection in Saturn's interior, generated, like in
some parts of Earth oceans, by the presence of a compositional gradient,
significantly reduces its cooling. It can explain the planet's present
luminosity for a wide range of configurations without invoking any additional
source of energy. This suggests a revision of the conventional homogeneous
adiabatic interior paradigm for giant planets, and questions our ability to
assess their heavy element content. This reinforces the possibility for layered
convection to help explaining the anomalously large observed radii of
extrasolar giant planets.

categories: astro-ph.EP astro-ph.SR physics.ao-ph physics.flu-dyn


title:
Direct coupling and inhomogeneity assist neurons to detect correlation
  in low amplitude noises

abstract:
  We address a question on the effect of common stochastic inputs on the
correlation of the spikes trains of two neurons when they are possibly
nonidentical and are coupled through direct connections. We show that the
change in the correlation of low amplitude stochastic inputs can be better
detected when the neurons are connected by direct excitatory couplings.
Depending on whether the neurons are identical or they are slightly different,
symmetric or asymmetric connections can increase the sensitivity of the system
to the input correlation by changing the mean slope of correlation transfer
function over a given range of input correlation. In either case, there is also
an optimum value for synaptic strength which maximizes the sensitivity of the
system to the changes in input correlation.


title: Tully-Fisher analysis of the multiple cluster system Abell 901/902

abstract:
  We derive rotation curves from optical emission lines of 182 disk galaxies
(96 in the cluster and 86 in the field) in the region of Abell 901/902 located
at $z\sim 0.165$. We focus on the analysis of B-band and stellar-mass
Tully-Fisher relations. We examine possible environmental dependencies and
differences between normal spirals and "dusty red" galaxies, i.e. disk galaxies
that have red colors due to relatively low star formation rates. We find no
significant differences between the best-fit TF slope of cluster and field
galaxies. At fixed slope, the field population with high-quality rotation
curves (57 objects) is brighter by $\Delta M_{B}=-0\fm42\pm0\fm15$ than the
cluster population (55 objects). We show that this slight difference is at
least in part an environmental effect. The scatter of the cluster TFR increases
for galaxies closer to the core region, also indicating an environmental
effect. Interestingly, dusty red galaxies become fainter towards the core at
given rotation velocity (i.e. total mass). This indicates that the star
formation in these galaxies is in the process of being quenched. The
luminosities of normal spiral galaxies are slightly higher at fixed rotation
velocity for smaller cluster-centric radii. Probably these galaxies are
gas-rich (compared to the dusty red population) and the onset of ram-pressure
stripping increases their star-formation rates. The results from the TF
analysis are consistent with and complement our previous findings. Dusty red
galaxies might be an intermediate stage in the transformation of infalling
field spiral galaxies into cluster S0s, and this might explain the well-known
increase of the S0 fraction in galaxy clusters with cosmic time.


title:
Thermodynamic and mechanical properties of copper precipitates in
  alpha-iron from atomistic simulations

abstract:
  The Fe-Cu system has attracted much attention over the last several decades
due to its technological importance as a model alloy for Cu steels. In spite of
these efforts several aspects of its phase diagram remain unexplained. Here we
use atomistic simulations to characterize the polymorphic phase diagram of Cu
precipitates in body-centered cubic (BCC) Fe and establish a consistent link
between their thermodynamic and mechanical properties in terms of thermal
stability, shape, and strength. The size at which Cu precipitates transform
from BCC to a close-packed 9R structure is found to be strongly temperature
dependent, ranging from approximately 4 nm in diameter (~2,700 atoms) at 200 K
to about 8 nm (~22,800 atoms) at 700 K. These numbers are in very good
agreement with the interpretation of experimental data given Monzen et al.
[Phil. Mag. A 80, 711 (2000)]. The strong temperature dependence originates
from the entropic stabilization of BCC Cu, which is mechanically unstable as a
bulk phase. While at high temperatures the transition exhibits first-order
characteristics, the hysteresis, and thus the nucleation barrier, vanish at
temperatures below approximately 300\,K. This behavior is explained in terms of
the mutual cancellation of the energy differences between core and shell
(wetting layer) regions of BCC and 9R nanoprecipitates, respectively. The
proposed mechanism is not specific for the Fe--Cu system but could generally be
observed in immiscible systems, whenever the minority component is unstable in
the lattice structure of the host matrix. Finally, we also study the
interaction of precipitates with screw dislocations as a function of both
structure and orientation. The results provide a coherent picture of
precipitate strength that unifies previous calculations and experimental
observations.


title: The local-global conjecture for scheduling with non-linear cost

abstract:
  We consider the classical scheduling problem on a single machine, on which we
need to schedule sequentially $n$ given jobs. Every job $j$ has a processing
time $p_j$ and a priority weight $w_j$, and for a given schedule a completion
time $C_j$. In this paper we consider the problem of minimizing the objective
value $\sum_j w_j C_j^\beta$ for some fixed constant $\beta>0$. This
non-linearity is motivated for example by the learning effect of a machine
improving its efficiency over time, or by the speed scaling model. For
$\beta=1$, the well-known Smith's rule that orders job in the non-increasing
order of $w_j/p_j$ give the optimum schedule. However, for $\beta \neq 1$, the
complexity status of this problem is open. Among other things, a key issue here
is that the ordering between a pair of jobs is not well-defined, and might
depend on where the jobs lie in the schedule and also on the jobs between them.
We investigate this question systematically and substantially generalize the
previously known results in this direction. These results lead to interesting
new dominance properties among schedules which lead to huge speed up in exact
algorithms for the problem. An experimental study evaluates the impact of these
properties on the exact algorithm A*.


title: On the parameterized complexity of cutting a few vertices from a graph

abstract:
  We study the parameterized complexity of separating a small set of vertices
from a graph by a small vertex-separator. That is, given a graph $G$ and
integers $k$, $t$, the task is to find a vertex set $X$ with $|X| \le k$ and
$|N(X)| \le t$. We show that
  - the problem is fixed-parameter tractable (FPT) when parameterized by $t$
but W[1]-hard when parameterized by $k$, and
  - a terminal variant of the problem, where $X$ must contain a given vertex
$s$, is W[1]-hard when parameterized either by $k$ or by $t$ alone, but is FPT
when parameterized by $k + t$.
  We also show that if we consider edge cuts instead of vertex cuts, the
terminal variant is NP-hard.


title: X(1870) and $\eta_2(1870)$: Which can be assigned as a hybrid state?

abstract:
  The mass spectrum and strong decays of the X(1870) and $\eta_2(1870)$ are
analyzed. Our results indicate that X(1870) and $\eta_2(1870)$ are the two
different resonances. The narrower X(1870) seems likely a good hybrid
candidate. We support the $\eta_2(1870)$ as the $\eta_2(2^1D_2)$ quarkonium. We
suggest to search the isospin partner of X(1870) in the channels of
$J/\psi\rightarrow\rho f_0(980)\pi$ and $J/\psi\rightarrow\rho b_1(1235)\pi$ in
the future. The latter channel is very important for testing the hybrid
scenario.


title:
Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and
  Randall-Sundrum theories

abstract:
  We explore the four-dimensional effective $F(T)$ gravity with $T$ the torsion
scalar in teleparallelism originating from higher-dimensional space-time
theories, in particular the Kaluza-Klein (KK) and Randall-Sundrum (RS)
theories. First, through the KK dimensional reduction from the five-dimensional
space-time, we obtain the four-dimensional effective theory of $F(T)$ gravity
with its coupling to a scalar field. Second, taking the RS type-II model in
which there exist the five-dimensional Anti-de Sitter (AdS) space-time with
four-dimensional Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) brane, we find
that there will appear the contribution of $F(T)$ gravity on the
four-dimensional FLRW brane. It is demonstrated that inflation and the dark
energy dominated stage can be realized in the KK and RS models, respectively,
due to the effect of only the torsion in teleparallelism without that of the
curvature.


title:
A Bag of Visual Words Approach for Symbols-Based Coarse-Grained Ancient
  Coin Classification

abstract:
  The field of Numismatics provides the names and descriptions of the symbols
minted on the ancient coins. Classification of the ancient coins aims at
assigning a given coin to its issuer. Various issuers used various symbols for
their coins. We propose to use these symbols for a framework that will coarsely
classify the ancient coins. Bag of visual words (BoVWs) is a well established
visual recognition technique applied to various problems in computer vision
like object and scene recognition. Improvements have been made by incorporating
the spatial information to this technique. We apply the BoVWs technique to our
problem and use three symbols for coarse-grained classification. We use
rectangular tiling, log-polar tiling and circular tiling to incorporate spatial
information to BoVWs. Experimental results show that the circular tiling proves
superior to the rest of the methods for our problem.


title: Notes on C_0-representations and the Haagerup property

abstract:
  For any locally compact group $G$, we show the existence and uniqueness up to
quasi-equivalence of a unitary $C_0$-representation $\pi_0$ of $G$ such that
all coefficient functions of $C_0$-representations of $G$ are coefficient
functions of $\pi_0$. The present work, strongly influenced by the work of N.
Brown and E. Guentner (which dealt exclusively with discrete groups), leads to
new characterizations of the Haagerup property: if $G$ is second countable,
then it has that property if and only if the representation $\pi_0$ induces a
*-isomorphism of $C^*(G)$ onto $C^*_{\pi_0}(G)$. When $G$ is discrete, we also
relate the Haagerup property to relative strong mixing properties of the group
von Neumann algebra $L(G)$ into finite von Neumann algebras.


title: Surface waves in a stretched and sheared incompressible elastic material

abstract:
  In this paper we analyze the effect of a combined pure homogeneous strain and
simple shear in a principal plane of the latter on the propagation of surface
waves for an incompressible isotropic elastic half-space whose boundary is
normal to the glide planes of the shear. This generalizes previous work in
which, separately, pure homogeneous strain and simple shear were considered.
For a special class of materials the secular equation is obtained in explicit
form and then specialized to recover results obtained previously for the two
cases mentioned above. A method for obtaining the secular equation for a
general form of strain-energy function is then outlined. In general this is
very lengthy and the result is not listed, but, for the case in which there is
no normal stress on the half-space boundary, the result is given, for
illustration, in respect of the so-called generalized Varga material. Numerical
results are given to show how the surface wave speed depends on both the
underlying pure homogeneous strain and the superimposed simple shear. Further
numerical results are provided for the Gent model of limiting chain
extensibility.


title: Aharonov-Casher effect in quantum ring ensembles

abstract:
  We study the transport of electrons through a single-mode quantum ring with
electric field induced Rashba spin-orbit interaction that is subjected to an
in-plane magnetic field and weakly coupled to electron reservoirs. Modelling a
ring array by ensemble averaging over a Gaussian distribution of energy level
positions, we predict slow conductance oscillations as a function of the Rashba
interaction and electron density due to spin-orbit interaction-induced beating
of the spacings between the levels crossed by the Fermi energy. Our results
agree with experiments by Nitta c.s., thereby providing an interpretation that
differs from the ordinary Aharonov-Casher effect in a single ring.


title:
On interface waves in misoriented pre-stressed incompressible elastic
  solids

abstract:
  Some relationships, fundamental to the resolution of interface wave problems,
are presented. These equations allow for the derivation of explicit secular
equations for problems involving waves localized near the plane boundary of
anisotropic elastic half-spaces, such as Rayleigh, Sholte, or Stoneley waves.
They are obtained rapidly, without recourse to the Stroh formalism. As an
application, the problems of Stoneley wave propagation and of interface
stability for misaligned predeformed incompressible half-spaces are treated.
The upper and lower half-spaces are made of the same material, subject to the
same prestress, and are rigidly bonded along a common principal plane. The
principal axes in this plane do not however coincide, and the wave propagation
is studied in the direction of the bisectrix of the angle between a principal
axis of the upper half-space and a principal axis of the lower half-space.


title: Upper escape rate of Markov chains on weighted graphs

abstract:
  We obtain an upper escape rate function for a continuous time minimal
symmetric Markov chain, defined on a locally finite weighted graph. This upper
rate function is given in terms of volume growth with respect to an adapted
path metric and has the same form as the manifold setting. Our approach also
gives a slightly more restrictive form of Folz's theorem on conservativeness as
a consequence.


title: Signature candidate of quantum chaos far from the semiclassical regime

abstract:
  We numerically investigated the entanglement product in the simplest coupled
kicked top model with the spin $j=1$. Different from the dynamical pattern of
entanglement in the semiclassical regime, two similar initial states may have
discordant entanglement oscillations. A candidate of the quantum signature of
this classical chaotic system was proposed. The potential antimonotonic
relation between the rank correlation coefficient qualifying the concordant of
two entanglement evolutions and the stationary entanglement was preliminarily
revealed.


title: Riesz transforms and multipliers for the Bessel-Grushin operator

abstract:
  We establish that the spectral multiplier $\frak{M}(G_{\alpha})$ associated
to the differential operator $$ G_{\alpha}=- \Delta_x
+\sum_{j=1}^m{{\alpha_j^2-1/4}\over{x_j^2}}-|x|^2 \Delta_y \; \text{on}
(0,\infty)^m \times \R^n,$$ which we denominate Bessel-Grushin operator, is of
weak type $(1,1)$ provided that $\frak{M}$ is in a suitable local Sobolev
space. In order to do this we prove a suitable weighted Plancherel estimate.
Also, we study $L^p$-boundedness properties of Riesz transforms associated to
$G_{\alpha}$, in the case $n=1$.


title: Symmetry protected weak topological phases in a superlattice

abstract:
  We explore novel topological phases realized in a superlattice system based
on the Wilson-Dirac model. Our main focus is on a two-dimensional analogue of
weak topological insulator phases. We find such phases as those characterized
by gapless edge states that are protected by symmetry but sensitive to the
orientation of the edge relative to the superlattice structure. We show that
manifest and hidden reflection symmetries protect such weak topological phases,
and propose bulk Z2 indices responsible for the topological protection of the
edge states.


title:
The study of random vorticity in quantum fluids through interference
  fluctuations

abstract:
  We study the vortex dynamics of a quantum degenerate Bose gas through the
intensity fluctuations of the interference from particles extracted at two
different positions. It is shown numerically with classical field simulations
that an interacting Bose gas with proliferating vortices exhibits long
correlation times for these intensity fluctuations. This behavior is contrasted
with the case of a noninteracting gas, that we describe analytically, and with
the case of a well condensed Bose gas without vortices. We discuss the
observability of our predictions in quantum fluids of exciton-polaritons.


title: Endomorphism algebras of factors of certain hypergeometric Jacobians

abstract:
  We classify the endomorphism algebras of factors of the Jacobian of certain
hypergeometric curves over a field of characteristic zero. Other than a few
exceptional cases, the endomorphism algebras turn out to be either a cyclotomic
field $E=\mathbb{Q}(\zeta_q)$, or a quadratic extension of $E$, or $E\oplus E$.
This result may be viewed as a generalization of the well known results of the
classification of endomorphism algebras of elliptic curves over $\mathbb{C}$.


title: Laser ion acceleration by using the dynamic motion of a target

abstract:
  Proton acceleration by using a 620-TW, 18-J laser pulse of peak intensity of
$5\times 10^{21}$ W/cm$^{2}$ irradiating a disk target is examined using
three-dimensional particle-in-cell simulations. It is shown that protons are
accelerated efficiently to high energy for a "light" material in the first
layer of a double-layer target, because a strongly inhomogeneous expansion of
the first layer occurs by a Coulomb explosion within such a material. Moreover,
a large movement of the first layer for the accelerated protons is produced by
radiation-pressure-dominant acceleration. A time-varying electric potential
produced by this expanding and moving ion cloud accelerates protons
effectively. In addition, using the best material for the target, one can
generate a proton beam with an energy of 200 MeV and an energy spread of 2$%$.


title:
Reeb stability and the Gromov-Hausdorff limits of leaves in compact
  foliations

abstract:
  We show that the Gromov-Hausdorff limit of a sequence of leaves in a compact
foliation is a covering space of the limiting leaf which is no larger than this
leaf's holonomy cover. We also show that convergence to such a limit is smooth
instead of merely Gromov-Hausdorff. Corollaries include Reeb's local stability
theorem, part of Epstein's local structure theorem for foliations by compact
leaves, and a continuity theorem of Alvarez and Candel. Several examples are
discussed.


title: Homology by metric currents

abstract:
  Metric currents are, in a certain sense, a metric analogous of flat currents,
therefore are related to the geometry of the space and of their support. In
this short note, we try to give some evidence for the previous statement, by
showing that the homology which can be defined by means of metric normal
currents coincides, on nice enough metric spaces, with the usual singular
homology.


title: A GEM-based Time Projection Chamber for the AMADEUS experiment

abstract:
  In this paper we present the R&D activity on a new GEM-based TPC prototype
for AMADEUS, a new experimental proposal at the DA{\Phi}NE {\Phi}-factory at
the Laboratori Nazionali di Frascati (INFN), aiming to perform measurements of
the low-energy negative kaons interactions in nuclei. Such innovative detector
will equip the inner part of the experiment in order to perfom a better
reconstruction of the primary vertex and the secondary particles tracking. A
10x10 cm2 prototype with a drift gap up to 15 cm was realized and succesfully
tested at the {\pi} M1 beam facility of the Paul Scherrer Institut (PSI) with
low momentum hadrons. The measurements of the detector efficiency and spatial
resolution have been performed. The results as a function of the gas gain,
drift field, front-end electronic threshold and particle momentum are reported
and discussed.


title:
Galois action on the $\bar\mathbb{Q}$-isogeny classes of abelian
  surfaces with quaternionic multiplication

abstract:
  An abelian variety over a number field is called L-abelian variety if, for
any element of the absolute Galois group of a number field L, the conjugated
abelian variety is isogenous to the given one by means of an isogeny that
preserves the Galois action on the endomorphism rings. We can think of them as
generalizations of abelian varieties defined over L with endomorphisms also
defined over L. In the one dimensional case, an elliptic curve defined over L
gives rise to a Galois representation provided by the Galois action on its Tate
module. This classical Galois representation has been a central object of study
in Number Theory over the last decades. Besides, given an elliptic L-curve one
can construct a projective analogue of the previous Galois representation. In
this work we construct similar projective representations in the
two-dimensional case, namely, attached to abelian L-surfaces with quaternionic
multiplication or fake elliptic curves. Moreover, we prove that such projective
representations also describe the Galois action on the isogeny class of the
elliptic L-curve, in the classical case, or the abelian L-surface with
quaternionic multiplication, in the general case.


title:
Incorporating external information in analyses of clinical trials with
  binary outcomes

abstract:
  External information, such as prior information or expert opinions, can play
an important role in the design, analysis and interpretation of clinical
trials. However, little attention has been devoted thus far to incorporating
external information in clinical trials with binary outcomes, perhaps due to
the perception that binary outcomes can be treated as normally-distributed
outcomes by using normal approximations. In this paper we show that these two
types of clinical trials could behave differently, and that special care is
needed for the analysis of clinical trials with binary outcomes. In particular,
we first examine a simple but commonly used univariate Bayesian approach and
observe a technical flaw. We then study the full Bayesian approach using
different beta priors and a new frequentist approach based on the notion of
confidence distribution (CD). These approaches are illustrated and compared
using data from clinical studies and simulations. The full Bayesian approach is
theoretically sound, but surprisingly, under skewed prior distributions, the
estimate derived from the marginal posterior distribution may not fall between
those from the marginal prior and the likelihood of clinical trial data. This
counterintuitive phenomenon, which we call the "discrepant posterior
phenomenon," does not occur in the CD approach. The CD approach is also
computationally simpler and can be applied directly to any prior distribution,
symmetric or skewed.


title:
A Globally Convergent Inexact Newton-Like Cayley Transform Method for
  Inverse Eigenvalue Problems

abstract:
  We propose a inexact Newton method for solving inverse eigenvalue problems
(IEP). This method is globalized by employing the classical backtracking
techniques. A global convergence analysis of this method is provided and the
R-order convergence property is proved under some mild assumptions. Numerical
examples demonstrate that the proposed method is very effective for solving the
IEP with distinct eigenvalues.


title: Gelfand pairs and strong transitivity for Euclidean buildings

abstract:
  Let G be a locally compact group acting properly by type-preserving
automorphisms on a locally finite thick Euclidean building $\Delta$ and K be
the stabilizer of a special vertex in $\Delta$. It is known that (G, K) is a
Gelfand pair as soon as G acts strongly transitively on $\Delta$; this is in
particular the case when G is a semi-simple algebraic group over a local field.
We show a converse to this statement, namely: if (G, K) is a Gelfand pair and G
acts cocompactly on $\Delta$, then the action is strongly transitive. The proof
uses the existence of strongly regular hyperbolic elements in G and their
peculiar dynamics on the spherical building at infinity. Other equivalent
formulations are also obtained, including the fact that G is strongly
transitive on $\Delta$ if and only if it is strongly transitive on the
spherical building at infinity.


title: Stellar Populations in the Galactic Center

abstract:
  We discuss the stellar content of the Galactic Center, and in particular,
recent estimates of the star formation rate (SFR). We discuss pros and cons of
the different stellar tracers and focus our attention on the SFR based on the
three classical Cepheids recently discovered in the Galactic Center. We also
discuss stellar populations in field and cluster stars and present some
preliminary results based on near-infrared photometry of a field centered on
the young massive cluster Arches. We also provide a new estimate of the true
distance modulus to the Galactic Center and we found
14.49$\pm$0.02(standard)$\pm$0.10(systematic) mag (7.91$\pm0.08\pm0.40$ kpc).
Current estimate agrees quite well with similar photometric and kinematic
distance determinations available in the literature. We also discuss the
metallicity gradient of the thin disk and the sharp change in the slope when
moving across the edge of the inner disk, the Galactic Bar and the Galactic
Center. The difference becomes even more compelling if we take into account
that metal abundances are based on young stellar tracers (classical Cepheids,
Red Supergiants, Luminous Blue Variables). Finally, we briefly outline the
possible mechanisms that might account for current empirical evidence.


title: Intermittency in spherical Couette dynamos

abstract:
  We investigate dynamo action in three-dimensional numerical simulations of
turbulent spherical Couette flows. Close to the onset of dynamo action, the
magnetic field exhibits an intermittent behavior, characterized by a series of
short bursts of the magnetic energy separated by low-energy phases. We show
that this behavior corresponds to the so-called on-off intermittency. This
behavior is here reported for dynamo action with realistic boundary conditions.
We investigate the role of magnetic boundary conditions in this phenomenon.


title: Counting people from above: Airborne video based crowd analysis

abstract:
  Crowd monitoring and analysis in mass events are highly important
technologies to support the security of attending persons. Proposed methods
based on terrestrial or airborne image/video data often fail in achieving
sufficiently accurate results to guarantee a robust service. We present a novel
framework for estimating human count, density and motion from video data based
on custom tailored object detection techniques, a regression based density
estimate and a total variation based optical flow extraction. From the gathered
features we present a detailed accuracy analysis versus ground truth
measurements. In addition, all information is projected into world coordinates
to enable a direct integration with existing geo-information systems. The
resulting human counts demonstrate a mean error of 4% to 9% and thus represent
a most efficient measure that can be robustly applied in security critical
services.


title: Coulomb control of polygonal linkages

abstract:
  Equilibria of polygonal linkage with respect to Coulomb potential of point
charges placed at the vertices of linkage are considered. It is proved that any
convex configuration of a quadrilateral linkage is the point of global minimum
of Coulomb potential for appropriate values of charges of vertices. Similar
problems are treated for the equilateral pentagonal linkage. Some corollaries
and applications in the spirit of control theory are also presented.


title: Realization of holonomic single-qubit operations

abstract:
  Universal single-qubit operations based on purely geometric phase factors in
adiabatic processes are demonstrated by utilizing a four-level system in a
trapped single $^{40}$Ca$^+$ ion connected by three oscillating fields.
Robustness against parameter variations is studied. The scheme demonstrated
here can be employed as a building block for large-scale holonomic quantum
computations, which may be useful for large qubit systems with statistical
variations in system parameters.


title: A remark on the structure of torsors under an affine group scheme

abstract:
  It is well known that all torsors under an affine algebraic group over an
algebraically closed field are trivial. We note that under suitable conditions
this also holds if the the group is not necessarily of finite type. This has an
application to isomorphisms of fibre functors on neutral Tannakian categories.


title: Dark Radiation after Planck

abstract:
  We present new constraints on the relativistic neutrino effective number
N_eff and on the Cosmic Microwave Background power spectrum lensing amplitude
A_L from the recent Planck 2013 data release. Including observations of the CMB
large angular scale polarization from the WMAP satellite, we obtain the bounds
N_eff = 3.71 +/- 0.40 and A_L = 1.25 +/- 0.13 at 68% c.l.. The Planck dataset
alone is therefore suggesting the presence of a dark radiation component at
91.1% c.l. and hinting for a higher power spectrum lensing amplitude at 94.3%
c.l.. We discuss the agreement of these results with the previous constraints
obtained from the Atacama Cosmology Telescope (ACT) and the South Pole
Telescope (SPT). Considering the constraints on the cosmological parameters, we
found a very good agreement with the previous WMAP+SPT analysis but a tension
with the WMAP+ACT results, with the only exception of the lensing amplitude.


title: Incidence Matrices of Polarized Projective Spaces

abstract:
  In this paper, we first define a non-degenerate symmetric bilinear form on
Fq^4. Then we get an incidence matrix G of Fq^4 by the bilinear form. By its
corresponding quadratic form Q, the lines of Fq^4 are classified as isotropic
and anisotropic lines. Under this classification, we can get two sub-matrices
of G and prove their 2-rank. Key words and phrases: finite field, quadratic
form, incidence matrix.


title: Polarized ensembles of random pure states

abstract:
  A new family of polarized ensembles of random pure states is presented. These
ensembles are obtained by linear superposition of two random pure states with
suitable distributions, and are quite manageable. We will use the obtained
results for two purposes: on the one hand we will be able to derive an
efficient strategy for sampling states from isopurity manifolds. On the other,
we will characterize the deviation of a pure quantum state from separability
under the influence of noise.


title:
Quark cluster contribution to cumulative proton emission in
  fragmentation of carbon ions

abstract:
  In the FRAGM experiment at heavy ion accelerator complex TWAC-ITEP, the
proton yields at an angle 3.5$^\circ$ have been measured at fragmentation of
carbon ions at $T_0 = $ 0.6, 0.95 and 2.0 GeV/nucleon on beryllium target. The
data are presented as invariant proton yields on cumulative variable $x$ in the
range 0.9 < $x$ < 2.4. Proton spectra cover six orders of invariant cross
section magnitude. They have been analyzed in the framework of quark cluster
fragmentation model. Fragmentation functions of quark-gluon string model are
used. The probabilities of the existence of multi-quark clusters in carbon
nuclei are estimated to be 8--12% for six-quark clusters and 0.2--0.6% for
nine-quark clusters.


title: Photon transfer in ultrastrongly coupled three-cavity arrays

abstract:
  We study the photon transfer along a linear array of three coupled cavities
where the central one contains an interacting two-level system in the strong
and ultrastrong coupling regimes. We find that an inhomogeneously coupled array
forbids a complete single-photon transfer between the external cavities when
the central one performs a Jaynes-Cummings dynamics. This is not the case in
the ultrastrong coupling regime, where the system exhibits singularities in the
photon transfer time as a function of the cavity-qubit coupling strength. Our
model can be implemented within the state-of-the-art circuit quantum
electrodynamics technology and it represents a building block for studying
photon state transfer through scalable cavity arrays.


title: Homogenization for Deterministic Maps and Multiplicative Noise

abstract:
  A recent paper of Melbourne & Stuart, A note on diffusion limits of chaotic
skew product flows, Nonlinearity 24 (2011) 1361-1367, gives a rigorous proof of
convergence of a fast-slow deterministic system to a stochastic differential
equation with additive noise. In contrast to other approaches, the assumptions
on the fast flow are very mild.
  In this paper, we extend this result from continuous time to discrete time.
Moreover we show how to deal with one-dimensional multiplicative noise. This
raises the issue of how to interpret certain stochastic integrals; it is proved
that the integrals are of Stratonovich type for continuous time and neither
Stratonovich nor Ito for discrete time.
  We also provide a rigorous derivation of superdiffusive limit where the
stochastic differential equation is driven by a stable Levy process. In the
case of one-dimensional multiplicative noise, the stochastic integrals are of
Marcus type both in the discrete and continuous time contexts.


title: The automorphism group of a certain unbounded non-hyperbolic domain

abstract:
  In this paper we determine the automorphism group of the
Fock-Bargmann-Hartogs domain $D_{n,m}$ in $\mathbb{C}^n\times\mathbb{C}^m$
which is defined by the inequality ${\|\zeta\|}^2<e^{-\mu{\|z\|}^2}$.


title: Hadron spectra in p+p collisions at RHIC and LHC energies

abstract:
  We present the systematic analysis of transverse momentum ($p_T$) spectra of
identified hadrons in p+p collisions at RHIC ($\sqrt{s}$ = 62.4 and 200 GeV)
and at LHC energies ($\sqrt{s}$ = 0.9, 2.76 and 7.0 TeV) using phenomenological
fit functions.
  We review various forms of Hagedorn and Tsallis distributions and show their
equivalence.
  We use Tsallis distribution which successfully describes the spectra in p+p
collisions using two parameters, Tsallis temperature $T$ which governs the soft
bulk spectra and power $n$ which determines the initial production in partonic
collisions.
  We obtain these parameters for pions, kaons and protons as a function of
center of mass energy ($\sqrt{s}$). It is found that the parameter $T$ has a
weak but decreasing trend with increasing $\sqrt{s}$. The parameter $n$
decreases with increasing $\sqrt{s}$ which shows that production of hadrons at
higher energies are increasingly dominated by point like qq scatterings.
  Another important observation is with increasing $\sqrt{s}$, the separation
between the powers for protons and pions narrows down hinting that the baryons
and mesons are governed by same production process as one moves to the highest
LHC energy.


title: New gravity-capillary waves at low speeds. Part 1: Linear geometries

abstract:
  When traditional linearised theory is used to study gravity-capillary waves
produced by flow past an obstruction, the geometry of the object is assumed to
be small in one or several of its dimensions. In order to preserve the
nonlinear nature of the obstruction, asymptotic expansions in the low-Froude or
low-Bond number limits can be derived, but here, the solutions invariably
predict a waveless surface at every order. This is because the waves are in
fact, exponentially small, and thus beyond-all-orders of regular asymptotics;
their formation is a consequence of the divergence of the asymptotic series and
the associated Stokes Phenomenon.
  By applying techniques in exponential asymptotics to this problem, we have
discovered the existence of new classes of gravity-capillary waves, from which
the usual linear solutions form but a special case. In this paper, we present
the initial theory for deriving these waves through a study of
gravity-capillary flow over a linearised step; this will be done using two
approaches: in the first, we derive the surface waves using the the standard
method of Fourier transforms; in the second, we derive the same result using
exponential asymptotics. Ultimately, these two methods give the same result,
but conceptually, they offer different insights into the study of the
low-Froude, low-Bond number problem.


title:
Species abundances and lifetimes: from neutral to niche-stabilized
  communities

abstract:
  We study a stochastic community model able to interpolate from a neutral
regime to a niche partitioned regime upon varying a single parameter tuning the
intensity of niche stabilization, namely the difference between intraspecific
and interspecific competition. By means of a self-consistent approach, we
obtain an analytical expression for the species abundance distribution, in
excellent agreement with stochastic simulations of the model. In the neutral
limit, the Fisher log-series is recovered, while upon increasing the
stabilization strength the species abundance distribution develops a maximum
for species at intermediate abundances, corresponding to the emergence of a
carrying capacity. Numerical studies of species extinction-time distribution
show that niche-stabilization strongly affects also the dynamical properties of
the system by increasing the average species lifetimes, while suppressing their
fluctuations. The results are discussed in view of the niche-neutral debate and
of their potential relevance to field data.


title: The tacnode Riemann-Hilbert problem

abstract:
  The tacnode Riemann-Hilbert problem is a 4 x 4 matrix valued RH problem that
appears in the description of the local behavior of two touching groups of
non-intersecting Brownian motions. The same RH problem was also found by Duits
and Geudens to describe a new critical regime in the two-matrix model.
  Delvaux gave integral representations for some of the entries of the 4 x 4
matrix. We complement this work by presenting integral representations for all
of the entries. As a consequence we give an explicit formula for the
Duits-Geudens critical kernel.


title: Comparison of Bulk Micromegas with Different Amplification Gaps

abstract:
  The bulk Micromegas detector is considered to be a promising candidate for
building TPCs for several future experiments including the projected linear
collider. The standard bulk with a spacing of 128 micron has already
established itself as a good choice for its performances in terms of gas gain
uniformity, energy and space point resolution, and its capability to
efficiently pave large readout surfaces with minimum dead zone. The present
work involves the comparison of this standard bulk with a relatively less used
bulk Micromegas detector having a larger amplification gap of 192 micron.
Detector gain, energy resolution and electron transparency of these Micromegas
have been measured under different conditions in various argon based gas
mixtures to evaluate their performance. These measured characteristics have
also been compared in detail to numerical simulations using the Garfield
framework that combines packages such as neBEM, Magboltz and Heed. Further, we
have carried out another numerical study to determine the effect of dielectric
spacers on different detector features. A comprehensive comparison of the two
detectors has been presented and analyzed in this work.


title:
Stoneley waves and interface stability of Bell materials in compression;
  Comparison with rubber

abstract:
  Two semi-infinite bodies made of prestressed, homogeneous, Bell-constrained,
hyperelastic materials are perfectly bonded along a plane interface. The
half-spaces have been subjected to finite pure homogeneous predeformations,
with distinct stretch ratios but common principal axes, and such that the
interface is a common principal plane of strain. Constant loads are applied at
infinity to maintain the deformations and the influence of these loads on the
propagation of small-amplitude interface (Stoneley) waves is examined. In
particular, the secular equation is found and necessary and sufficient
conditions to be satisfied by the stretch ratios to ensure the existence of
such waves are given. As the loads vary, the Stoneley wave speed varies
accordingly: the upper bound is the `limiting speed' (given explicitly), beyond
which the wave amplitude cannot decay away from the interface; the lower bound
is zero, where the interface might become unstable. The treatment parallels the
one followed for the incompressible case and the differences due to the Bell
constraint are highlighted. Finally, the analysis is specialized to specific
strain energy densities and to the case where the bimaterial is uniformly
deformed (that is when the stretch ratios for the upper half-space are equal to
those for the lower half-space.) Numerical results are given for `simple
hyperelastic Bell' materials and for `Bell's empirical model' materials, and
compared to the results for neo-Hookean incompressible materials.


title: Counting Electrons to Probe the Neutrino Mass Hierarchy

abstract:
  After the successful measurement of the mixing angle $\theta_{13}$, the
determination of the neutrino mass hierarchy has become a priority for future
neutrino experiments. We propose a conventional $\nu_\mu$ beam with neutrino
energies in the range 2-8 GeV aimed at a Mton underwater detector at the
"magic" baseline of 2600 km. In this constellation it is sufficient to
distinguish ($\nu_\mu$ induced) track-like interactions from cascade-like
interactions with moderate purity to determine the mass hierarchy.


title:
A-infinity Algebras Derived from Associative Algebras with a
  Non-Derivation Differential

abstract:
  Given an associative graded algebra equipped with a degree +1 differential we
define an A-infinity structure that measures the failure of the differential to
be a derivation. This can be seen as a non-commutative analog of generalized
BV-algebras. In that spirit we introduce a notion of associative order for the
differential and prove that it satisfies properties similar to the commutative
case. In particular when it has associative order 2 the new product is a
strictly associative product of degree +1 and there is a compatibility between
the products, similar to ordinary BV-algebras. We consider several examples of
structures obtained in this way. In particular we obtain an A-infinity
structure on the bar complex of an A-infinity algebra that is strictly
associative if the original algebra is strictly associative. We also introduce
strictly associative degree +1 products for any degree +1 action on a graded
algebra. Moreover, an A-infinity structure is constructed on the Hochschild
cocomplex of an associative algebra with a non-degenerate inner product by
using Connes' B-operator.


title: L2/L2-foreach sparse recovery with low risk

abstract:
  In this paper, we consider the "foreach" sparse recovery problem with failure
probability $p$. The goal of which is to design a distribution over $m \times
N$ matrices $\Phi$ and a decoding algorithm $\algo$ such that for every
$\vx\in\R^N$, we have the following error guarantee with probability at least
$1-p$ \[\|\vx-\algo(\Phi\vx)\|_2\le C\|\vx-\vx_k\|_2,\] where $C$ is a constant
(ideally arbitrarily close to 1) and $\vx_k$ is the best $k$-sparse
approximation of $\vx$.
  Much of the sparse recovery or compressive sensing literature has focused on
the case of either $p = 0$ or $p = \Omega(1)$. We initiate the study of this
problem for the entire range of failure probability. Our two main results are
as follows: \begin{enumerate} \item We prove a lower bound on $m$, the number
measurements, of $\Omega(k\log(n/k)+\log(1/p))$ for $2^{-\Theta(N)}\le p <1$.
Cohen, Dahmen, and DeVore \cite{CDD2007:NearOptimall2l2} prove that this bound
is tight. \item We prove nearly matching upper bounds for \textit{sub-linear}
time decoding. Previous such results addressed only $p = \Omega(1)$.
\end{enumerate}
  Our results and techniques lead to the following corollaries: (i) the first
ever sub-linear time decoding $\lolo$ "forall" sparse recovery system that
requires a $\log^{\gamma}{N}$ extra factor (for some $\gamma<1$) over the
optimal $O(k\log(N/k))$ number of measurements, and (ii) extensions of Gilbert
et al. \cite{GHRSW12:SimpleSignals} results for information-theoretically
bounded adversaries.


title:
A Counterexample for the Validity of Using Nuclear Norm as a Convex
  Surrogate of Rank

abstract:
  Rank minimization has attracted a lot of attention due to its robustness in
data recovery. To overcome the computational difficulty, rank is often replaced
with nuclear norm. For several rank minimization problems, such a replacement
has been theoretically proven to be valid, i.e., the solution to nuclear norm
minimization problem is also the solution to rank minimization problem.
Although it is easy to believe that such a replacement may not always be valid,
no concrete example has ever been found. We argue that such a validity checking
cannot be done by numerical computation and show, by analyzing the noiseless
latent low rank representation (LatLRR) model, that even for very simple rank
minimization problems the validity may still break down. As a by-product, we
find that the solution to the nuclear norm minimization formulation of LatLRR
is non-unique. Hence the results of LatLRR reported in the literature may be
questionable.


title:
The group generated by the gamma functions $\Gamma(ax+1)$, and its
  subgroup of the elements converging to constants

abstract:
  Let $G$ be the multiplicative group generated by the gamma functions
$\Gamma(ax+1)$ $(a=1,2,\dots)$, and $H$ be the subgroup of all elements of $G$
that converge to nonzero constants as $x\rightarrow\infty$. The quotient group
$G/H$ is the group of equivalence classes of $G$, where $f$ and $g$ are
equivalent $\iff f\sim Cg$ $(x\rightarrow\infty)$ for some $C\not=0$. We show
that $G/H\simeq\mathbb{Q}^+$. A similar consideration is possible for the case
that the gamma functions $\Gamma(ax+1)$ with $a\in\mathbb{R}^+$ are concerned,
and we show that $G/H\simeq\mathbb{Z}\times\mathbb{R}\times\mathbb{R}$.
  Also, several concrete examples of the elements of $H$ are constructed, e.g.,
it holds that
$\frac{\binom{18n}{12n,3n,3n}}{\binom{18n}{9n,8n,n}}\longrightarrow\sqrt{\frac{2}{3}}$
$(n\rightarrow\infty)$, where $\binom{*}{*,\dots,*}$ denotes a multinomial
coefficient.


title: Non-principal surface waves in deformed incompressible materials

abstract:
  The Stroh formalism is applied to the analysis of infinitesimal surface wave
propagation in a statically, finitely and homogeneously deformed isotropic
half-space. The free surface is assumed to coincide with one of the principal
planes of the primary strain, but a propagating surface wave is not restricted
to a principal direction. A variant of Taziev's technique [Sov. Phys. Acoust.
35 (1989) 535] is used to obtain an explicit expression of the secular equation
for the surface wave speed, which possesses no restrictions on the form of the
strain energy function. Albeit powerful, this method does not produce a unique
solution and additional checks are necessary. However, a class of materials is
presented for which an exact secular equation for the surface wave speed can be
formulated. This class includes the well-known Mooney-Rivlin model. The main
results are illustrated with several numerical examples.


title: Homotopy Theory of Mixed Hodge Complexes

abstract:
  We show that the category of mixed Hodge complexes admits a Cartan-Eilenberg
structure, a notion introduced in [GNPR10] leading to a good calculation of the
homotopy category in terms of (co)fibrant objects. This result provides a
conceptual framework from which Beilinson's [Bei86] and Carlson's [Car80]
results on mixed Hodge complexes and extensions of mixed Hodge structures
follow easily.


title:
Self-Localization of Asynchronous Wireless Nodes With Parameter
  Uncertainties

abstract:
  We investigate a wireless network localization scenario in which the need for
synchronized nodes is avoided. It consists of a set of fixed anchor nodes
transmitting according to a given sequence and a self-localizing receiver node.
The setup can accommodate additional nodes with unknown positions participating
in the sequence. We propose a localization method which is robust with respect
to uncertainty of the anchor positions and other system parameters. Further, we
investigate the Cram\'er-Rao bound for the considered problem and show through
numerical simulations that the proposed method attains the bound.


title: Comparison of thermal fluctuations in foam films and bilayer structures

abstract:
  In the frames of the DLVO theory the root mean square amplitude and
correlation length of capillary waves in thin liquid films are calculated.
Their dependencies on some important physical parameters are studied. Two
models are considered: films with classical interfaces and films between lipid
bilayers. The performed numerical analysis demonstrates essential difference in
their behavior, which is due to the different elastic properties of the film
surfaces in the models.


title: New gravity-capillary waves at low speeds. Part 2: Nonlinear geometries

abstract:
  When traditional linearised theory is used to study gravity-capillary waves
produced by flow past an obstruction, the geometry of the object is assumed to
be small in one or several of its dimensions. In order to preserve the
nonlinear nature of the obstruction, asymptotic expansions in the low-Froude or
low-Bond number limits can be derived, but here, the solutions are waveless to
every order. This is because the waves are in fact, exponentially small, and
thus beyond-all-orders of regular asymptotics; their formation is a consequence
of the divergence of the asymptotic series and the associated Stokes
Phenomenon.
  In Part 1, we showed how exponential asymptotics could be used to study the
problem when the size of the obstruction is first linearised. In this paper, we
extend the analysis to the nonlinear problem, thus allowing the full geometry
to be considered at leading order. When applied to the classic problem of flow
over a step, our analysis reveals the existence of six classes of
gravity-capillary waves, from which two share a connection with the usual
linearised solutions first discovered by Lord Rayleigh. The new solutions arise
due to the availability of multiple singularities in the geometry, coupled with
the interplay of gravitational and cohesive effects.


title: Dark states in multi-mode multi-atom Jaynes-Cummings systems

abstract:
  We consider a system consisting of N two-level atoms inside an M-mode
degenerate, driven cavity. We discuss the formation of dark states in this
system and derive the conditions required for the observation of the dark-state
anti-resonance in the cavity emission.


title:
A Security Protocol for the Identification and Data Encrypt Key
  Management of Secure Mobile Devices

abstract:
  In this paper, we proposed an identification and data encrypt key manage
protocol that can be used in some security system based on such secure devices
as secure USB memories or RFIDs, which are widely used for identifying persons
or other objects recently. In general, the default functions of the security
system using a mobile device are the authentication for the owner of the device
and secure storage of data stored on the device. We proposed a security model
that consists of the server and mobile devices in order to realize these
security features. In this model we defined the secure communication protocol
for the authentication and management of data encryption keys using a private
key encryption algorithm with the public key between the server and mobile
devices. In addition, we was performed the analysis for the attack to the
communication protocol between the mobile device and server. Using the
communication protocol, the system will attempt to authenticate the mobile
device. The data decrypt key is transmitted only if the authentication process
is successful. The data in the mobile device can be decrypted using the key.
Our analysis proved that this Protocol ensures anonymity, prevents replay
attacks and realizes the interactive identification between the security
devices and the authentication server.


title: Jonqui\`eres maps and $\mathrm{SL}(2;\mathbb{C})$-cocycles

abstract:
  We start the study of the family of birational maps $(f_{\alpha,\beta})$ of
$\mathbb{P}^2_\mathbb{C}$ in \cite{Deserti}. For generic $\alpha$ and $\beta$
of modulus 1 the centraliser of $f_{\alpha,\beta}$ is trivial, the topological
entropy of $f_{\alpha,\beta}$ is 0, there exist two areas of linearisation: in
the first one the closure of the orbit of a point is a torus, in the other one
the closure of the orbit of a point is the union of two circles. On
$\mathbb{P}^1_\mathbb{C}\times \mathbb{P}^1_\mathbb{C}$ any $f_{\alpha,\beta}$
can be viewed as a cocyle; using recent results about
$\mathrm{SL}(2;\mathbb{C})$-cocycles (\cite{Avila}) we determine the
\textsc{Lyapunov} exponent of the cocyle associated to $f_{\alpha,\beta}$.


title: The first factor of the class number of the $p$-th cyclotomic field

abstract:
  Kummer's conjecture states that the relative class number of the $p$-th
cyclotomic field follows a strict asymptotic law. Granville has shown it
unlikely to be true -- it cannot be true if we assume the truth of two other
widely believed conjectures. We establish a new bound for the error term in
Kummer's conjecture, and more precisely we prove that
$\log(h_p^-)=\frac{p+3}{4}\log(p) +
\frac{p}{2}\log(2\pi)+\log(1-\beta)+O(\log_2 p)$, where $\beta$ is a possible
Siegel zero of an $L(s,\chi)$, $\chi$ odd.


title: The Goldman-Rota identity and the Grassmann scheme

abstract:
  We inductively construct an explicit (common) orthogonal eigenbasis for the
elements of the Bose-Mesner algebra of the Grassmann scheme. The main step is a
constructive, linear algebraic interpretation of the Goldman-Rota recurrence
for the number of subspaces of a finite vector space. This interpretation shows
that the up operator on subspaces has an explicitly given recursive structure.
Using this we inductively construct an explicit orthogonal symmetric Jordan
basis with respect to the up operator and write down the singular values, i.e.,
the ratio of the lengths of the successive vectors in the Jordan chains. The
collection of all vectors in this basis of a fixed rank forms a (common)
orthogonal eigenbasis for the elements of the Bose-Mesner algebra of the
Grassmann scheme. We also pose a bijective proof problem on the spanning trees
of the Grassmann graphs.


title:
A Two-Phase Maximum-Likelihood Sequence Estimation for Receivers with
  Partial CSI

abstract:
  The optimality of the conventional maximum likelihood sequence estimation
(MLSE), also known as the Viterbi Algorithm (VA), relies on the assumption that
the receiver has perfect knowledge of the channel coefficients or channel state
information (CSI). However, in practical situations that fail the assumption,
the MLSE method becomes suboptimal and then exhaustive checking is the only way
to obtain the ML sequence. At this background, considering directly the ML
criterion for partial CSI, we propose a two-phase low-complexity MLSE
algorithm, in which the first phase performs the conventional MLSE algorithm in
order to retain necessary information for the backward VA performed in the
second phase. Simulations show that when the training sequence is moderately
long in comparison with the entire data block such as 1/3 of the block, the
proposed two-phase MLSE can approach the performance of the optimal exhaustive
checking. In a normal case, where the training sequence consumes only 0.14 of
the bandwidth, our proposed method still outperforms evidently the conventional
MLSE.


title: Limits of contraction groups and the Tits core

abstract:
  The Tits core G^+ of a totally disconnected locally compact group G is
defined as the abstract subgroup generated by the closures of the contraction
groups of all its elements. We show that a dense subgroup is normalised by the
Tits core if and only if it contains it. It follows that every dense subnormal
subgroup contains the Tits core. In particular, if G is topologically simple,
then the Tits core is abstractly simple, and if G^+ is non-trivial then it is
the unique minimal dense normal subgroup. The proofs are based on the fact, of
independent interest, that the map which associates to an element the closure
of its contraction group is continuous.


title:
Coulomb-distorted plane wave: partial wave expansion and asymptotic
  forms

abstract:
  Partial wave expansion of the Coulomb-distorted plane wave is determined and
studied. Dominant and sub-dominant asymptotic expansion terms are given and
leading order three-dimensional asymptotic form is derived. The generalized
hypergeometric function $_2F_2(a,a;a+l+1,a-l;z)$ is expressed with the help of
confluent hypergeometric functions and the asymptotic expansion of
$_2F_2(a,a;a+l+1,a-l;z)$ is simplified.


title: Lepton-flavor violation and $(g-2)_\mu$ in the $\mu\nu$SSM

abstract:
  Within framework of the $\mu$ from $\nu$ Supersymmetric Standard Model
($\mu\nu$SSM), exotic singlet right-handed neutrino superfields induce new
sources for lepton-flavor violation. In this work, we investigate some
lepton-flavor violating processes in detail in the $\mu\nu$SSM. The numerical
results indicate that the branching ratios for lepton-flavor violating
processes $\mu\rightarrow e\gamma$, $\tau\rightarrow\mu\gamma$ and
$\mu\rightarrow3e$ can reach $10^{-12}$ when $\tan\beta$ is large enough, which
can be detected in near future. We also discuss the constraint on the relevant
parameter space of the model from the muon anomalous magnetic dipole moment. In
addition, from the scalars for the $\mu\nu$SSM we strictly separate the
Goldstone bosons, which disappear in the physical gauge.


title: 2p2h effects on the weak pion production cross section

abstract:
  The neutrino-nucleon --> lepton pion QE reaction on the A-target is used as a
signal event or/and to reconstruct the neutrino energy, using two-body
kinematics. Competition of another processes could lead to misidentification of
the arriving neutrinos, being important the fake events coming from the
CC1-pion background. A precise knowledge of cross sections is a prerequisite in
order to make simulations in event generators to substract the fake ones from
the QE countings, and in this contribution we analyze the different nuclear
effects on the CC1-pion channel. Our calculations also can be extended for the
NC case.


title:
Reciprocity Laws for the Higher Tame Symbol and the Witt Symbol on an
  Algebraic Surface

abstract:
  Parshin's higher Witt pairing on an arithmetic surface can be combined with
the higher tame pairing to form a symbol taking values in the absolute abelian
Galois group of the function field. We prove reciprocity laws for this symbol
using techniques of Morrow for the Witt symbol and Romo for the higher tame
symbol.


title:
Projector augmented wave calculation of x-ray absorption spectra at the
  L2,3 edges

abstract:
  We develop a technique based on density functional theory and the projector
augmented wave method in order to obtain the x-ray absorption cross section at
a general edge, both in the electric dipole and quadrupole approximations. The
method is a generalization of Taillefumier et al., PRB 66, 195107 (2002). We
apply the method to the calculation of the Cu L2,3 edges in fcc copper and
cuprite (Cu2O), and to the S L2,3 edges in molybdenite (2H-MoS2). The role of
core-hole effects, modeled in a supercell approach, as well as the
decomposition of the spectrum into different angular momentum channels are
studied in detail. In copper we find that the best agreement with experimental
data is obtained when core-hole effects are neglected. On the contrary,
core-hole effects need to be included both in Cu2O and 2H-MoS2. Finally we show
that a non-negligible component of S L2,3 edges in 2H-MoS2 involves transition
to states with s character at all energy scales. The inclusion of this angular
momentum channel is mandatory to correctly describe the angular dependence of
the measured spectra. We believe that transitions to s character states are
quantitatively significant at the L2,3 edges of third row elements from Al to
Ar.


title:
Pulse phase dependent variations of the cyclotron absorption features of
  the accreting pulsars A 0535+26, XTE J1946+274 and 4U 1907+09 with Suzaku

abstract:
  We have performed a detailed pulse phase resolved spectral analysis of the
cyclotron resonant scattering features (CRSF) of the two Be/X-ray pulsars
A0535+26 and XTE J1946+274 and the wind accreting HMXB pulsar 4U 1907+09 using
Suzaku observations. The CRSF parameters vary strongly over the pulse phase and
can be used to map the magnetic field and a possible deviation form the dipole
geometry in these sources. It also reflects the conditions at the accretion
column and the local environment over the changing viewing angles. The pattern
of variation with pulse phase are obtained with more than one continuum
spectral models for each source, all of which give consistent results. Care is
also taken to perform the analysis over a stretch of data having constant
spectral characteristics and luminosity to ensure that the results reflect the
variations due to the changing viewing angle alone. For A0535+26 and XTE
J1946+274 which show energy dependent dips in their pulse profiles, a partial
covering absorber is added in the continuum spectral models to take into
account an additional absorption at those phases by the accretion stream/column
blocking our line of sight.


title:
In-plane electric field effect on a spin-orbit coupled two-dimensional
  electron system in presence of magnetic field

abstract:
  The effect of in-plane electric field on Landau level spacing, spin splitting
energy, average spin polarization and average spin current in the bulk as well
as at the edges of a two-dimensional electron system with Rashba spin-orbit
coupling are presented here. The spin splitting energy for a particular
magnetic field is found to be reduced by the external in-plane electric field.
Unlike the case of a two-dimensional electron system without Rashba spin-orbit
interaction, here the Landau level spacing is electric field dependent. This
dependency becomes stronger at the edges in comparison to the bulk. The average
spin polarization vector rotates anti-clockwise with the increase of electric
field. The average spin current also gets influenced significantly by the
application of the in-plane electric field.


title:
Dineutron correlations and BCS-BEC crossover in nuclear matter with the
  Gogny pairing force

abstract:
  The dineutron correlations and the crossover from superfluidity of neutron
Cooper pairs in the $^1S_0$ pairing channel to Bose-Einstein condensation (BEC)
of dineutron pairs in both symmetric and neutron matter are studied within the
relativistic Hartree-Bogoliubov theory, with the effective interaction PK1 of
the relativistic mean-field approach in the particle-hole channel and the
finite-range Gogny force in the particle-particle channel. The influence of the
pairing strength on the behaviors of dineutron correlations is investigated. It
is found that the neutron pairing gaps at the Fermi surface from three adopted
Gogny interactions are smaller at low densities than the one from the bare
nucleon-nucleon interaction Bonn-B potential. From the normal (anomalous)
density distribution functions and the density correlation function, it is
confirmed that a true dineutron BEC state does not appear in nuclear matter. In
the cases of the Gogny interactions, the most BEC-like state may appear when
the neutron Fermi momentum $k_{Fn}\thicksim0.3 \rm{fm^{-1}}$. Moreover, based
on the newly developed criterion for several characteristic quantities within
the relativistic framework, the BCS-BEC crossover is supposed to realize in a
revised density region with $k_{Fn}\in[0.15,0.63] \rm{fm^{-1}}$ in nuclear
matter.


title: New Polynomial Cases of the Weighted Efficient Domination Problem

abstract:
  Let G be a finite undirected graph. A vertex dominates itself and all its
neighbors in G. A vertex set D is an efficient dominating set (e.d. for short)
of G if every vertex of G is dominated by exactly one vertex of D. The
Efficient Domination (ED) problem, which asks for the existence of an e.d. in
G, is known to be NP-complete even for very restricted graph classes.
  In particular, the ED problem remains NP-complete for 2P3-free graphs and
thus for P7-free graphs. We show that the weighted version of the problem
(abbreviated WED) is solvable in polynomial time on various subclasses of
2P3-free and P7-free graphs, including (P2+P4)-free graphs, P5-free graphs and
other classes.
  Furthermore, we show that a minimum weight e.d. consisting only of vertices
of degree at most 2 (if one exists) can be found in polynomial time. This
contrasts with our NP-completeness result for the ED problem on planar
bipartite graphs with maximum degree 3.