title:
A Study of Parallelizing O(N) Green-Function-Based Monte Carlo Method
  for Many Fermions Coupled with Classical Degrees of Freedom

abstract:
  Models of fermions interacting with classical degrees of freedom are applied
to a large variety of systems in condensed matter physics. For this class of
models, Wei{\ss}e [Phys. Rev. Lett. {\bf 102}, 150604 (2009)] has recently
proposed a very efficient numerical method, called O($N$) Green-Function-Based
Monte Carlo (GFMC) method, where a kernel polynomial expansion technique is
used to avoid the full numerical diagonalization of the fermion Hamiltonian
matrix of size $N$, which usually costs O($N^3$) computational complexity.
Motivated by this background, in this paper we apply the GFMC method to the
double exchange model in three spatial dimensions. We mainly focus on the
implementation of GFMC method using both MPI on a CPU-based cluster and
Nvidia's Compute Unified Device Architecture (CUDA) programming techniques on a
GPU-based (Graphics Processing Unit based) cluster. The time complexity of the
algorithm and the parallel implementation details on the clusters are
discussed. We also show the performance scaling for increasing Hamiltonian
matrix size and increasing number of nodes, respectively. The performance
evaluation indicates that for a $32^3$ Hamiltonian a single GPU shows higher
performance equivalent to more than 30 CPU cores parallelized using MPI.


title: Scrambling Code Planning in TD-SCDMA Systems

abstract:
  This paper has been withdrawn by the author due to a crucial sign error in
equation 2.


title: Boltje-Maisch resolutions of Specht modules

abstract:
  In \cite{21}, Boltje and Maisch found a permutation complex of Specht modules
in representation theory of Hecke algebras, which is the same as the
Boltje-Hartmann complex appeared in the representation theory of symmetric
groups and general linear groups. In this paper we prove the exactness of
Boltje-Maisch complex in the dominant weight case.


title:
$W$-entropy formula for the Witten Laplacian on manifolds with time
  dependent metrics and potentials

abstract:
  In this paper, we develop a new approach to prove the $W$-entropy formula for
the Witten Laplacian via warped product on Riemannian manifolds and give a
natural geometric interpretation of a quantity appeared in the $W$-entropy
formula. Then we prove the $W$-entropy formula for the Witten Laplacian on
compact Riemannian manifolds with time dependent metrics and potentials, and
derive the $W$-entropy formula for the backward heat equation associated with
the Witten Laplacian on compact Riemannian manifolds equipped with Lott's
modified Ricci flow. We also extend our results to complete Riemannian
manifolds with negative $m$-dimensional Bakry-Emery Ricci curvature, and to
compact Riemannian manifolds with $K$-super $m$-dimensional Bakry-Emery Ricci
flow. As application, we prove that the optimal logarithmic Sobolev constant on
compact manifolds equipped with the $K$-super $m$-dimensional Bakry-Emery Ricci
flow is decreasing in time.


title:
Multi-Group Testing for Items with Real-Valued Status under Standard
  Arithmetic

abstract:
  This paper proposes a novel generalization of group testing, called
multi-group testing, which relaxes the notion of "testing subset" in group
testing to "testing multi-set". The generalization aims to learn more
information of each item to be tested rather than identify only defectives as
was done in conventional group testing. This paper provides efficient
nonadaptive strategies for the multi-group testing problem. The major tool is a
new structure, $q$-ary additive $(w,d)$-disjunct matrix, which is a
generalization of the well-known binary disjunct matrix introduced by Kautz and
Singleton in 1964.


title:
Spatio-Temporal Covariance Descriptors for Action and Gesture
  Recognition

abstract:
  We propose a new action and gesture recognition method based on
spatio-temporal covariance descriptors and a weighted Riemannian locality
preserving projection approach that takes into account the curved space formed
by the descriptors. The weighted projection is then exploited during boosting
to create a final multiclass classification algorithm that employs the most
useful spatio-temporal regions. We also show how the descriptors can be
computed quickly through the use of integral video representations. Experiments
on the UCF sport, CK+ facial expression and Cambridge hand gesture datasets
indicate superior performance of the proposed method compared to several recent
state-of-the-art techniques. The proposed method is robust and does not require
additional processing of the videos, such as foreground detection,
interest-point detection or tracking.


title: A Cooperation Model Towards the Federated Internet of Applications

abstract:
  As Internet is changing from network of data into network of functionalities,
a federated Internet of applications, that every application can cooperate with
each other smoothly, is a natural trending topic. However, existing integration
techniques did not pay enough attention to multiple control domains for
participants, i.e. application providers and end-users. In this study, we
advocate a global cooperation model for all the participants counts. In
particular, we propose a hybrid model to manage the cooperation among
applications to achieve more optimized allocation of efforts, which means users
perform lighter actions and application providers concerning less
uncontrollable information. In addition, we implement the required system and
show a case study which demonstrates the effectiveness of this model.


title:
Expanding curves in $\mathrm{T}^1(\mathbb{H}^n)$ under geodesic flow and
  equidistribution in homogeneous spaces

abstract:
  Let $H = \mathrm{SO}(n,1)$ and $A =\{a(t) : t \in \mathbb{R}\}$ be a maximal
$\mathbb{R}$-split Cartan subgroup of $H$. Let $G$ be a Lie group containing
$H$ and $\Gamma$ be a lattice of $G$. Let $x = g\Gamma \in G/\Gamma$ be a point
of $G/\Gamma$ such that its $H$-orbit $Hx$ is dense in $G/\Gamma$.
  Let $\phi: I= [a,b] \rightarrow H$ be an analytic curve, then $\phi(I)x$
gives an analytic curve in $G/\Gamma$. In this article, we will prove the
following result: if $\phi(I)$ satisfies some explicit geometric condition,
then $a(t)\phi(I)x$ tends to be equidistributed in $G/\Gamma$ as $t \rightarrow
\infty$. It answers the first question asked by Shah in ~\cite{Shah_1} and
generalizes the main result of that paper.


title: Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter

abstract:
  Sources of isocurvature perturbations and large non-Gaussianities include
field degrees of freedom whose vacuum expectation values are smaller than the
expansion rate of inflation. The inhomogeneities in the energy density of such
fields are quadratic in the fields to leading order in the inhomogeneity
expansion. Although it is often assumed that such isocurvature perturbations
and inflaton-driven curvature perturbations are uncorre- lated, this is not
obvious from a direct computational point of view due to the form of the
minimal gravitational interactions. We thus compute the irreducible
gravitational contributions to the quadratic isocurvature-curvature
cross-correlation. We find a small but non-decaying cross-correlation, which in
principle serves as a consistency prediction of this large class of
isocurvature perturbations. We apply our cross-correlation result to two dark
matter isocurvature perturbation scenarios: QCD axions and WIMPZILLAs. On the
technical side, we utilize a gravita- tional Ward identity in a novel manner to
demonstrate the gauge invariance of the computation. Furthermore, the detailed
computation is interpreted in terms of a soft-{\zeta} theorem and a
gravitational Ward identity. Finally, we also identify explicitly all the
counterterms that are necessary for renormalizing the isocurvature perturbation
composite operator in inflationary cosmological backgrounds.


title:
Robust Stability Analysis of an Optical Parametric Amplifier Quantum
  System

abstract:
  This paper considers the problem of robust stability for a class of uncertain
nonlinear quantum systems subject to unknown perturbations in the system
Hamiltonian. The case of a nominal linear quantum system is considered with
non-quadratic perturbations to the system Hamiltonian. The paper extends recent
results on the robust stability of nonlinear quantum systems to allow for
non-quadratic perturbations to the Hamiltonian which depend on multiple
parameters. A robust stability condition is given in terms of a strict bounded
real condition. This result is then applied to the robust stability analysis of
a nonlinear quantum system which is a model of an optical parametric amplifier.


title:
Ostrogradsky instability and Born-Infeld modified cosmology in Palatini
  formalism

abstract:
  The Ostrogradsky instability of higher derivative Lagrangians is derived from
first principles using Control theory and Lyapunov Stability Analysis. This
result is then used to argue that Born-Infeld Lagrangians are viable
modifications of the Einstein-Hilbert action provided the action is varied in
accordance with the Palatini formalism, in contrast to the metric formalism.
Finally, the Born-Infeld version of the FRW equations are derived and the
cosmological dynamics is studied for matter dominated closed and open
universes, and the results are compared with the usual cosmology.


title:
Imaging the evolution of metallic states in a spin-orbit interaction
  driven correlated iridate

abstract:
  The Ruddlesden-Popper (RP) series of iridates (Srn+1IrnO3n+1) have been the
subject of much recent attention due to the anticipation of emergent physics
arising from the cooperative action of spin-orbit (SO) driven band splitting
and Coulomb interactions[1-3]. However an ongoing debate over the role of
correlations in the formation of the charge gap and a lack of understanding of
the effects of doping on the low energy electronic structure have hindered
experimental progress in realizing many of the predicted states[4-8] including
possible high-Tc superconductivity[7,9]. Using scanning tunneling spectroscopy
we map out the spatially resolved density of states in the n=2 RP member,
Sr3Ir2O7 (Ir327). We show that the Ir327 parent compound, argued to exist only
as a weakly correlated band insulator in fact possesses a substantial ~130meV
charge excitation gap driven by an interplay between structure, SO coupling and
correlations. A critical component in distinguishing the intrinsic electronic
character within the inhomogeneous textured electronic structure is our
identification of the signature of missing apical oxygen defects, which play a
critical role in many of the layered oxides. Our measurements combined with
insights from calculations reveal how apical oxygen vacancies transfer spectral
weight from higher energies to the gap energies thereby revealing a path toward
obtaining metallic electronic states from the parent-insulating states in the
iridates.


title: Isoparametric functions on exotic spheres

abstract:
  This paper extends widely the work in \cite{GT13}. Existence and
non-existence results of isoparametric functions on exotic spheres and
Eells-Kuiper projective planes are established. In particular, every homotopy
$n$-sphere ($n>4$) carries an isoparametric function (with certain metric) with
2 points as the focal set, in strong contrast to the classification of
cohomogeneity one actions on homotopy spheres \cite{St96} ( only exotic
Kervaire spheres admit cohomogeneity one actions besides the standard spheres
). As an application, we improve a beautiful result of B\'{e}rard-Bergery
\cite{BB77} ( see also pp.234-235 of \cite{Be78} ).


title: Break-down criterion for the water-wave equation

abstract:
  We study the break-down mechanism of smooth solution for the gravity
water-wave equation of infinite depth. It is proved that if the mean curvature
$\kappa$ of the free surface $\Sigma_t$, the trace $(V,B)$ of the velocity at
the free surface, and the outer normal derivative $\frac {\pa P} {\pa
\textbf{n}}$ of the pressure $P$ satisfy \beno &&\displaystyle\sup_{t\in
[0,T]}\|\kappa(t)\|_{L^p\cap L^2}+\int_0^T\|(\na V, \na
B)(t)\|_{L^\infty}^6dt<+\infty, &\displaystyle\inf_{(t,x,y)\in [0,T]\times
\Sigma_t}-\frac {\pa P} {\pa \textbf{n}}(t,x,y)\ge c_0, \eeno for some $p>2d$
and $c_0>0$, then the solution can be extended after $t=T$.


title: On Hilbert functions of general intersections of ideals

abstract:
  Let I and J be homogeneous ideals in a standard graded polynomial ring. We
study upper bounds of the Hilbert function of the intersection of I and g(J),
where g is a general change of coordinates. Our main result gives a
generalization of Green's hyperplane section theorem.


title: Connection-state approach to pre- and post-selected quantum measurements

abstract:
  We discuss the concept of connection states (or connection matrices) that
describe posterior ensembles, post-selected according to the outcomes of a
quantum measurement. Connection matrices allow one to obtain results of any
weak and some non-weak pre- and post-selected measurements, in the same manner
as density matrices allow one to predict the results of conventional quantum
measurements. Connection matrices are direct extensions of the density matrices
and are generally non-Hermitian, which we show to be a direct consequence of
quantum complementarity. This implies that the ultimate reason for unusual weak
values is quantum complementarity. We show that connection matrices can be
determined experimentally. We also show that retrodictive states are a special
case of connection states. We propose a new method of tomography of quantum
detectors.


title:
Toward Construction of the Unified Lepton-Nucleus Interaction Model from
  a Few Hundred MeV to GeV Region

abstract:
  Next generation neutrino oscillation experiments will need a quantitative
understanding of neutrino-nucleus interaction far better than ever. Kinematics
covered by the relevant neutrino-nucleus interaction spans wide region, from
the quasi-elastic, through the resonance region, to the deeply inelastic
scattering region. The neutrino-nucleus interaction in each region has quite
different characteristics. Obviously, it is essential to combine different
expertise to construct a unified model that covers all the kinematical region
of the neutrino-nucleus interaction. Recently, several experimentalists and
theorists got together to form a collaboration to tackle this problem. In this
contribution, we report the collaboration's recent activity and a goal in near
future.


title: 2-Local derivations on matrix rings over associative rings

abstract:
  In the present paper it is proved that every inner 2-local derivation on the
matrix ring $M_n(\Re)$ of $n\times n$ matrices over a commutative associative
ring $\Re$ is an inner derivation. Also, it is proved that, every derivation on
an associative ring $\Re$ has an extension to a derivation on the matrix ring
$M_n(\Re)$ of $n\times n$ matrices over $\Re$.


title:
ZKCM: a C++ library for multiprecision matrix computation with
  applications in quantum information

abstract:
  ZKCM is a C++ library developed for the purpose of multiprecision matrix
computation, on the basis of the GNU MP and MPFR libraries. It provides an
easy-to-use syntax and convenient functions for matrix manipulations including
those often used in numerical simulations in quantum physics. Its extension
library, ZKCM_QC, is developed for simulating quantum computing using the
time-dependent matrix-product-state simulation method. This paper gives an
introduction about the libraries with practical sample programs.


title:
Optical control of individual carbon nanotube light emitters by spectral
  double resonance in silicon microdisk resonators

abstract:
  Single-walled carbon nanotubes have advantages as a nanoscale light source
compatible with silicon photonics because they show room-temperature
luminescence at telecom-wavelengths and can be directly synthesized on silicon
substrates. Here we demonstrate integration of individual light-emitting carbon
nanotubes with silicon microdisk resonators. Photons emitted from nanotubes are
efficiently coupled to whispering gallery modes, circulating within the disks
and lighting up their perimeters. Furthermore, we control such emission by
tuning the excitation wavelength in and out of resonance with higher order
modes in the same disk. Our results open up the possibilities of using nanotube
emitters embedded in photonic circuits that are individually addressable
through spectral double resonance.


title: Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach

abstract:
  Motivated by the experimental data, we study charmless $B_{u,d,s}\to VT$ ($V$
and $T$ denote light vector and tensor mesons respectively) decays in the
perturbative QCD approach. The predictions of branching ratios, polarization
fractions and direct CP violations are given in detail. Specifically, within
this approach we have calculated the polarization fractions and the branching
ratios of $B\to \phi(K_2^{*-}, \bar K_2^{*0})$ which agree well with the
observed experimental data, however the branching ratios of $B\to
\omega(K_2^{*-}, \bar K_2^{*0})$ are hard to be explained, where the
polarization fractions are well accommodated. The tree dominated channels with
a vector meson emitted have longitudinal polarization fraction of 90%, while
the penguin dominating ones have subtle polarization fractions. Fortunately,
most branching ratios of $B_{u,d}$ decays are of the order $10^{-6}$, which
would be straight forward for experimental observations. For the $B_s$ decays
the branching ratios can reach the order of $10^{-6}$ in tree dominated decays,
while in penguin dominated decays those are of order of $10^{-7}$ which require
more experimental data to be observed.


title:
Potentials allowing integration of the perturbed two-body problem in
  regular coordinates

abstract:
  The problem of separation of variables in some coordinate systems obtained
with the use of $L$-transformations is studied. Potentials are shown that allow
separation of regular variables in a perturbed two-body problem. The potential
contains two arbitrary smooth functions. An example of a potential is
considered allowing explicit solution of the problem in terms of elliptic
functions. The cases of bounded and unbounded motion are shown. The results of
numerical experiments are given.


title: Jet Measurements In CMS

abstract:
  A measurement of inclusive jet and dijet production cross sections is
presented. Data from large hadron collider (LHC) proton-proton collisions at
$\sqrt{s}=$ 7 TeV, corresponding to $4.67 fb^{-1}$ of integrated luminosity,
have been collected with the compact muon solenoid (CMS) detector. Jets are
reconstructed with the anti-$k_T$ clustering algorithm with size parameter
$R=0.7$, extending to rapidity $|y|=2.5$, transverse momentum $p_{T}=$ 2 TeV,
and dijet invariant mass $M_{JJ}=$ 5 TeV. The measured cross sections are
corrected for detector effects and compared to perturbative QCD predictions at
next-to-leading order (NLO), corrected for non perturbative (NP) factors, using
various sets of parton distribution functions. Determination Of Jet Energy
Correction from $\sqrt{s}=$ 7 TeV CMS data is presented. The individual
components are determined. The jet energy scale uncertainty factors are also
shown.


title:
Wavelength attack on practical continuous-variable
  quantum-key-distribution system with a heterodyne protocol

abstract:
  We present the wavelength attack on a practical continuous-variable
quantum-key-distribution system with a heterodyne protocol, in which the
transmittance of beam splitters at Bob's station is wavelength-dependent. Our
strategy is proposed independent of but analogous to that of Huang et al.
[arXiv: 1206.6550v1 [quant-ph]], but in that paper the shot noise of the two
beams that Eve sends to Bob, transmitting after the homodyne detector, is
unconsidered. However, shot noise is the main contribution to the deviation of
Bob's measurements from Eve's when implementing the wavelength attack, so it
must be considered accurately. In this paper, we firstly analyze the solutions
of the equations specifically that must be satisfied in this attack, which is
not considered rigorously by Huang et al. Then we calculate the shot noise of
the homodyne detector accurately and conclude that the wavelength attack can be
implemented successfully in some parameter regime.


title: A Basis of the $q$-Schur Module

abstract:
  In this paper, we construct the $q$-Schur modules as left principle ideals of
the cyclotomic $q$-Schur algebras, and prove that they are isomorphic to those
cell modules defined in \cite{8} and \cite{15} at any level $r$. Then we prove
that these $q$-Schur modules are free modules and construct their bases. This
result gives us new versions of several results about the standard basis and
the branching theorem. With the help of such realizations and the new bases, we
re-prove the Branch rule of Weyl modules which was first discovered and proved
by Wada in \cite{23}.


title:
Improved Multi-Variable Variational Monte Carlo Method Examined by
  High-Precision Calculations of One-Dimensional Hubbard Model

abstract:
  We revisit the accuracy of the variational Monte Carlo (VMC) method by taking
an example of ground state properties for the one-dimensional Hubbard model. We
start from the variational wave functions with the Gutzwiller and long-range
Jastrow factor introduced by Capello et al. [Phys. Rev. B 72, 085121 (2005)]
and further improve it by considering several quantum-number projections and a
generalized one-body wave function. We find that the quantum spin projection
and total momentum projection greatly improve the accuracy of the ground state
energy within 0.5% error, for both small and large systems at half filling.
Besides, the momentum distribution function n(k) at quarter filling calculated
up to 196 sites allows us direct estimate of the critical exponents of the
charge correlations from the power-law behavior of n(k) near the Fermi wave
vector. Estimated critical exponents well reproduce those predicted by the
Tomonaga-Luttinger theory.


title: Multifidelity variance reduction for pick-freeze Sobol index estimation

abstract:
  Many mathematical models involve input parameters, which are not precisely
known. Global sensitivity analysis aims to identify the parameters whose
uncertainty has the largest impact on the variability of a quantity of interest
(output of the model). One of the statistical tools used to quantify the
influence of each input variable on the output is the Sobol sensitivity index,
which can be estimated using a large sample of evaluations of the output. We
propose a variance reduction technique, based on the availability of a fast
approximation of the output, which can enable significant computational savings
when the output is costly to evaluate.


title:
Local oscillator fluctuation opens a loophole for Eve in practical
  continuous-variable quantum-key-distribution systems

abstract:
  We consider the security of practical continuous-variable quantum key
distribution implementation with the local oscillator (LO) fluctuating in time,
which opens a loophole for Eve to intercept the secret key. We show that Eve
can simulate this fluctuation to hide her Gaussian collective attack by
reducing the intensity of the LO. Numerical simulations demonstrate that, if
Bob does not monitor the LO intensity and does not scale his measurements with
the instantaneous intensity values of LO, the secret key rate will be
compromised severely.


title:
First Study of Intersubband Absorption in Electrons on Helium under
  Quantizing Magnetic Fields

abstract:
  We present the first measurements of inter-subband absorption of microwaves
in surface electrons on liquid helium subjected to perpendicular magnetic field
B. In quantizing B, the power absorption shows intermittent regions of enhanced
and suppressed absorption. This behavior is caused by strong variation of the
excited-electron decay rate with B. Particularly, fast decay due to elastic
scattering provides condition for strong absorption and overheating of the
electron system, while slow decay due to inelastic scattering limits absorption
and causes its saturation. An unexpected feature is the strong suppression of
absorption at magnetic fields where the inter-subband energy splitting is a
multiple number of the cyclotron energy.


title:
Nonadiabatic Quantum Annealing for One-Dimensional Trasverse-Field Ising
  Model

abstract:
  We propose a nonadiabatic approach to quantum annealing, in which we repeat
quantum annealing in nonadiabatic time scales, and collect the final states of
many realizations to find the ground state among them. In this way, we replace
the diffculty of long annealing time in adiabatic quantum annealing by another
problem of the number of nonsidabatic (short-time) trials. The one-dimensional
transverse-field Ising model is used to test this idea, and it is shown that
nonadiabatic quantum annealing has the same computational complexity to find
the ground state as the conventional adiabatic annealing does. This result
implies that the nonadiabatic method may be used to replace adiabatic annealing
to avoid the effects of external disturbances, to which the adiabatic method is
more prone than the nonadiabatic counterpart.


title:
Optimized-Cost Repair in Multi-hop Distributed Storage Systems with
  Network Coding

abstract:
  In distributed storage systems reliability is achieved through redundancy
stored at different nodes in the network. Then a data collector can reconstruct
source information even though some nodes fail. To maintain reliability, an
autonomous and efficient protocol should be used to repair the failed node. The
repair process causes traffic and consequently transmission cost in the
network. Recent results found the optimal trafficstorage tradeoff, and proposed
regenerating codes to achieve the optimality. We aim at minimizing the
transmission cost in the repair process. We consider the network topology in
the repair, and accordingly modify information flow graphs. Then we analyze the
cut requirement and based on the results, we formulate the minimum-cost as a
linear programming problem for linear costs. We show that the solution of the
linear problem establishes a fundamental lower bound of the repair-cost. We
also show that this bound is achievable for minimum storage regenerating, which
uses the optimal-cost minimum-storage regenerating (OCMSR) code. We propose
surviving node cooperation which can efficiently reduce the repair cost.
Further, the field size for the construction of OCMSR codes is discussed. We
show the gain of optimal-cost repair in tandem, star, grid and fully connected
networks.


title:
Nonequilibrium distribution functions of nucleons in relativistic
  nucleus-nucleus collisions

abstract:
  The collision smearing of the nucleon momenta about their initial values
during relativistic nucleus-nucleus collisions is investigated. To a certain
degree, our model belongs to the transport type, and we investigate the
evolution of the nucleon system created at a nucleus-nucleus collision.
However, we parameterize this development by the number of collisions of every
particle during evolution rather than by the time variable. It is assumed that
the group of nucleons which leave the system after the same number of
collisions can be joined in a particular statistical ensemble. The nucleon
nonequilibrium distribution functions, which depend on a certain number of
collisions of a nucleon before freeze-out, are derived.


title:
Vortex graphs as N-omers and CP(N-1) Skyrmions in N-component
  Bose-Einstein condensates

abstract:
  Stable vortex N-omers are constructed in coherently coupled N-component
Bose-Einstein condensates. We classify all possible N-omers in terms of the
mathematical graph theory and numerically construct all graphs for N=2,3,4. We
also find that N-omers are well described as CP(N-1) skyrmions when
inter-component and intra-component couplings are U(N) symmetric, and we
evaluate their size dependence on the Rabi coupling.


title:
Non-Thermal Radio and Gamma-Ray Emission from a Supernova Remnant by the
  Blast Wave Breaking Out of the Circumstellar Matter

abstract:
  We calculate synchrotron radio emission and gamma-ray emission due to
bremsstrahlung, inverse-Compton scattering and $pi^0$-decay from the remnant of
supernova which exploded in the circumstellar matter (CSM) formed by the
progenitor's stellar wind. This sort of situation is a possible origin of
mixed-morphology supernova remnants (SNRs) like W49B, which exhibit
recombination-radiation spectra in X-ray emission. We assume that the CSM of
1.5 $M_{odot}$ exists at 0.07--3 pc away from the supernova in the interstellar
medium (ISM) of density 0.016 cm$^{-3}$. When the blast wave breaks out of the
CSM into the ISM, its velocity rapidly increases and hence particle
acceleration is enhanced. The maximum energy of protons reaches $sim$ 1300 TeV
just after the break-out with $sim$ 0.5% of the explosion energy. We consider
the non-thermal emission from the blast-shocked ISM shell after the break-out.
Synchrotron radio flux at 1 GHz is tens Jy, comparable to the observed from
mixed-morphology SNRs. Because of low density, the gamma-ray luminosity is
dominated by inverse-Compton scattering, which is higher than the $pi^0$-decay
luminosity by an order of magnitude. The total gamma-ray luminosity including
bremsstrahlung is of the order of $10^{33}$ erg s$^{-1}$ lower than the typical
value $10^{35}$--$10^{36}$ erg s$^{-1}$ observed from mixed-morphology SNRs.
However, if, e.g., $sim$10% of accelerated protons interact with some matter of
density $sim$100 cm$^{-3}$, $pi^0$-decay gamma-ray luminosity would be enhanced
to be comparable with the observed value.


title:
Conservation laws in gravitational theories with general nonminimal
  coupling

abstract:
  We use the Lagrange-Noether methods to derive the conservation laws for
models in which matter interacts nonminimally with the gravitational field. The
nonminimal coupling function can depend arbitrarily on the gravitational field
strength. The obtained result generalizes earlier findings. The generalized
conservation laws provide the basis for the derivation of the equations of
motion for the nonminimally coupled test bodies.


title:
Study of the validity of a combined potential model using the hybrid
  reverse Monte Carlo method in fluoride glass system

abstract:
  The choice of appropriate interaction models is among the major disadvantages
of conventional methods such as molecular dynamics and Monte Carlo simulations.
On the other hand, the so-called reverse Monte Carlo (RMC) method, based on
experimental data, can be applied without any interatomic and/or intermolecular
interactions. The RMC results are accompanied by artificial satellite peaks. To
remedy this problem, we use an extension of the RMC algorithm, which introduces
an energy penalty term into the acceptance criteria. This method is referred to
as the hybrid reverse Monte Carlo (HRMC) method. The idea of this paper is to
test the validity of a combined potential model of coulomb and Lennard-Jones in
a fluoride glass system BaMnMF_{7} (M=Fe,V) using HRMC method. The results show
a good agreement between experimental and calculated characteristics, as well
as a meaningful improvement in partial pair distribution functions. We suggest
that this model should be used in calculating the structural properties and in
describing the average correlations between components of fluoride glass or a
similar system. We also suggest that HRMC could be useful as a tool for testing
the interaction potential models, as well as for conventional applications.


title: Low-magnetic-field magnetars

abstract:
  It is now widely accepted that soft gamma repeaters and anomalous X-ray
pulsars are the observational manifestations of magnetars, i.e. sources powered
by their own magnetic energy. This view was supported by the fact that these
`magnetar candidates' exhibited, without exception, a surface dipole magnetic
field (as inferred from the spin-down rate) in excess of the electron critical
field (~4.4E+13 G). The recent discovery of fully-qualified magnetars, SGR
0418+5729 and Swift J1822.3-1606, with dipole magnetic field well in the range
of ordinary radio pulsars posed a challenge to the standard picture, showing
that a very strong field is not necessary for the onset of magnetar activity
(chiefly bursts and outbursts). Here we summarize the observational status of
the low-magnetic-field magnetars and discuss their properties in the context of
the mainstream magnetar model and its main alternatives.


title:
Holographic fermions in asymptotically scaling geometries with
  hyperscaling violation

abstract:
  We investigate holographic fermions in general asymptotically scaling
geometries with hyperscaling violation exponent $\theta$, which is a natural
generalization of fermions in Lifshitz spacetime. We prove that the retarded
Green functions in this background satisfy the ARPES (angle-resolved
photoemission spectroscopy) sum rules by introducing a dynamical source on a UV
brane for zero density fermionic systems. The big difference from the Lifshitz
case is that the mass of probe fermions decoupled from the UV theory and thus
has no longer been restricted by unitarity bound. We also study finite density
fermions at finite temperature, with dynamical exponent $z=2$. We find that the
dispersion relation is linear but the logarithm of the spectral function is not
linearly related to the logarithm of $k_\bot =k-k_F$, independent of charge $q$
and $\theta$. Furthermore, we show that with the increasing of charge, new
branches of Fermi surfaces emerge and tend to gathering together to form a
shell-like structure when the charge reaches some critical value beyond which a
wide band pattern appears in the momentum-charge plane. However, all sharp
peaks will be smoothed out when $\theta$ increases, no matter how much large
the charge is.


title:
Synchronization in minimal iterated function systems on compact
  manifolds

abstract:
  We treat synchronization for iterated function systems generated by
diffeomorphisms on compact manifolds. Synchronization here means the
convergence of orbits starting at different initial conditions when iterated by
the same sequence of diffeomorphisms. The iterated function systems admit a
description as skew product systems of diffeomorphisms on compact manifolds
driven by shift operators. Under open conditions including transitivity and
negative fiber Lyapunov exponents, we prove the existence of a unique
attracting invariant graph for the skew product system. This explains the
occurrence of synchronization. The result extends previous results for iterated
function systems by diffeomorphisms on the circle, to arbitrary compact
manifolds.


title:
A quantum speedup in machine learning: Finding a N-bit Boolean function
  for a classification

abstract:
  We compare quantum and classical machines designed for learning an N-bit
Boolean function in order to address how a quantum system improves the machine
learning behavior. The machines of the two types consist of the same number of
operations and control parameters, but only the quantum machines utilize the
quantum coherence naturally induced by unitary operators. We show that quantum
superposition enables quantum learning that is faster than classical learning
by expanding the approximate solution regions, i.e., the acceptable regions.
This is also demonstrated by means of numerical simulations with a standard
feedback model, namely random search, and a practical model, namely
differential evolution.


title:
Static spacetimes with/without black holes in dynamical Chern-Simons
  gravity

abstract:
  We show that the static and asymptotically flat black hole spacetime is
unique to be Schwarzschild spacetime in the dynamical Chern-Simons gravity. In
addition, we show that the strictly static spacetimes should be the Minkowski
spacetime.


title: Bohmian Non-commutative Dynamics: History and New Developments

abstract:
  The reality of Bohm's intellectual journey is very different from what is
often claimed by the proponents of "Bohmian Mechanics" and others as we will
explain in this paper. He did not believe a mechanical explanation of quantum
phenomena was possible. Central to his thinking, and incidentally to Bohr's
also, was the notion of 'unbroken wholeness', a notion that is crucial for
understanding quantum properties like quantum nonlocality. His proposals were
based on a primitive notion of `process' or `activity', producing a more
'organic' approach to quantum phenomena. He published many papers outlining
these new ideas, some plausible, some less so, but was not able to develop a
coherent mathematical structure to support the work. Over the last ten years
much of that missing mathematics has been put in place. This paper will report
this new work, concentrating on providing a coherent overview of the whole
programme.


title:
Inflation and primordial power spectra at anisotropic spacetime inspired
  by Planck's constraints on isotropy of CMB

abstract:
  Recently, the Planck 2013 results showed possible evidence for a dipolar
power modulation of the CMB temperature fluctuations at low--(\ell) multipoles.
This anomaly might imply certain deviations from statistical isotropy. To
incorporate the Planck's data into standard cosmological model, we propose an
inflation model of the very early universe in an anisotropic spacetime. A
generalized Friedmann-Robertson-Walker (FRW) metric is presented in the
Randers-Finsler spacetime. We obtain the primordial power spectrum of the
scalar perturbation with direction dependence, such as the dipolar modulation.
This is consistent with the dipolar power modulation of the CMB anisotropy
signaled by the Planck observation.


title:
A Monotonicity Formula and a Liouville-type Theorem for a Fourth Order
  Supercritical Problem

abstract:
  We consider Liouville-type and partial regularity results for the nonlinear
fourth-order problem $$ \Delta^2 u=|u|^{p-1}u\ \{in} \ \R^n,$$ where $ p>1$ and
$n\ge1$. We give a complete classification of stable and finite Morse index
solutions (whether positive or sign changing), in the full exponent range. We
also compute an upper bound of the Hausdorff dimension of the singular set of
extremal solutions. Our approach is motivated by Fleming's tangent cone
analysis technique for minimal surfaces and Federer's dimension reduction
principle in partial regularity theory. A key tool is the monotonicity formula
for biharmonic equations.


title: On the K-theory of planar cuspical curves and a new family of polytopes

abstract:
  Let k be a regular F_p-algebra, let A = k[x,y]/(x^b - y^a) be the coordinate
ring of a planar cuspical curve, and let I = (x,y) be the ideal that defines
the cusp point. We give a formula for the relative K-groups K_q(A,I) in terms
of the groups of de Rham-Witt forms of the ring k. At present, the validity of
the formula depends on a conjecture that concerns the combinatorial structure
of a new family of polytopes that we call stunted regular cyclic polytopes. The
polytopes in question appear as the intersections of regular cyclic polytopes
with (certain) linear subspaces. We verify low-dimensional cases of the
conjecture. This leads to unconditional new results on K_2 and K_3 which extend
earlier results by Krusemeyer for K_0 and K_1.


title:
Dissipative particle dynamics study of solvent mediated transitions in
  pores decorated with tethered polymer brushes in the form of stripes

abstract:
  We study self-assembly of a binary mixture of components A and B confined in
a slit-like pore with the walls modified by the stripes of tethered brushes
made of beads of a sort A. The emphasis is on solvent mediated transitions
between morphologies when the composition of the mixture varies. For certain
limiting cases of the pore geometry we found that an effective reduction of the
dimensionality may lead to a quasi one- and two-dimensional demixing. The
change of the environment for the chains upon changing the composition of the
mixture from polymer melt to a good solvent conditions provides explanation for
the mechanism of development of several solvent mediated morphologies and, in
some cases, for switching between them. We found solvent mediated lamellar,
meander and in-lined cylinder phases. Quantitative analysis of morphology
structure is performed considering brush overlap integrals and gyration tensor
components.


title: Early Dynamical Instabilities in the Giant Planet Systems

abstract:
  The observed wide eccentricity distribution of extrasolar giant planets is
thought to be the result of dynamical instabilities and gravitational
scattering among planets. Previously, it has been assumed that the orbits in
giant planet systems become gravitationally unstable after the gas nebula
dispersal. It was not well understood, however, how these unstable conditions
were established in the first place.
  In this work we numerically simulate the evolution of systems of three
planets as the planets sequentially grow to Jupiter's mass, and dynamically
interact among themselves and with the gas disk. We use the hydro-dynamical
code FARGO that we modified by implementing the $N$-body integrator SyMBA. The
new code can handle close encounters and collisions between planets. To test
their stability, the planetary systems were followed with SyMBA for up to
$10^8$ yr after the gas disk dispersal.
  We find that dynamics of the growing planets is complex, because migration
and resonances raise their orbital eccentricities, and cause dynamical
instabilities when gas is still around. If the dynamical instabilities occur
early, planets can be removed by collisions and ejections, and the system
rearranges into a new, more stable configuration. In this case, the planetary
systems emerging from the gas disks are expected to be stable, and would need
to be destabilized by other means (low-mass planets, planetesimal disks, etc.).
Alternatively, for the giant planet system to be intrinsically unstable upon
the gas disk dispersal, a special timing would be required with the growth of
(at least some of) the giant planets having to occur near the end of the gas
disk lifetime.


title:
Convergence analysis of sectional methods for solving aggregation
  population balance equations: The fixed pivot technique

abstract:
  In this paper, we introduce the convergence analysis of the fixed pivot
technique given by S.Kumar and Ramkrishna \cite{Kumar:1996-1} for the nonlinear
aggregation population balance equations which are of substantial interest in
many areas of science: colloid chemistry, aerosol physics, astrophysics,
polymer science, oil recovery dynamics, and mathematical biology. In
particular, we investigate the convergence for five different types of uniform
and non-uniform meshes which turns out that the fixed pivot technique is second
order convergent on a uniform and non-uniform smooth meshes. Moreover, it
yields first order convergence on a locally uniform mesh. Finally, the analysis
exhibits that the method does not converge on an oscillatory and non-uniform
random meshes. Mathematical results of the convergence analysis are also
demonstrated numerically.


title:
Pseudodifferential operators of infinite order in spaces of tempered
  ultradistributions

abstract:
  Specific global symbol classes and corresponding pseudodifferential operators
of infinite order that act continuously on the space of tempered
ultradistributions of Beurling and Roumieu type are constructed. For these
classes, symbolic calculus is developed.


title: The QCD Running Coupling and its Measurement

abstract:
  In this lecture, after recalling the basic definitions and facts about the
running coupling in QCD, I present a critical discussion of the methods for
measuring $\alpha_s$ and select those that appear to me as the most reliably
precise


title: Asymmetric Pruning for Learning Cascade Detectors

abstract:
  Cascade classifiers are one of the most important contributions to real-time
object detection. Nonetheless, there are many challenging problems arising in
training cascade detectors. One common issue is that the node classifier is
trained with a symmetric classifier. Having a low misclassification error rate
does not guarantee an optimal node learning goal in cascade classifiers, i.e.,
an extremely high detection rate with a moderate false positive rate. In this
work, we present a new approach to train an effective node classifier in a
cascade detector. The algorithm is based on two key observations: 1) Redundant
weak classifiers can be safely discarded; 2) The final detector should satisfy
the asymmetric learning objective of the cascade architecture. To achieve this,
we separate the classifier training into two steps: finding a pool of
discriminative weak classifiers/features and training the final classifier by
pruning weak classifiers which contribute little to the asymmetric learning
criterion (asymmetric classifier construction). Our model reduction approach
helps accelerate the learning time while achieving the pre-determined learning
objective. Experimental results on both face and car data sets verify the
effectiveness of the proposed algorithm. On the FDDB face data sets, our
approach achieves the state-of-the-art performance, which demonstrates the
advantage of our approach.


title:
Interaction of streamers and stationary corrugated ionization waves in
  semiconductors

abstract:
  A numerical simulation of evolution of an identical interacting streamers
array in semiconductors has been performed using the diffusion-drift
approximation and taking into account the impact and tunnel ionization. It has
been assumed that the external electric field Eo is static and uniform, the
background electrons and holes are absent, the initial avalanches start
simultaneously from the nodes of the plane hexagonal lattice, which is
perpendicular to the external field, however the avalanches and streamers are
axially symmetric within a cylinder of radius R. It has been shown that under
certain conditions, the interaction between the streamers leads finally either
to the formation of two types of stationary ionization waves with corrugated
front or to a stationary plane ionization wave. A diagram of different steady
states of this type waves in the plane of parameter [Eo,R] has been presented
and a qualitative explanation of the plane partition into four different
regions has been given. Characteristics of corrugated waves have been studied
in detail and discussed in the region of R and Eo large values, in which the
maximum field strength at the front is large enough for the tunnel ionization
implementation. It has been shown that corrugated waves ionize semiconductor
more efficiently than flat ones, especially in relatively weak external fields.


title:
A0535+26 in the April 2010 outburst: probing the accretion regime at
  work

abstract:
  A number of accreting X-ray pulsars experience spectral changes, both on the
long time scales and on the time scales of the neutron star spin period. The
sources seem to form two distinct groups which differ by the type of the
spectral variations with flux. Such a bimodality probably reflects two
different regimes of accretion that may result in a particular pulsar depending
on its luminosity - so-called sub- and super-critical regimes. We investigated
the behavior of the spectral parameters of the Be/X-ray binary system A
0535+26, as a function of flux and pulse phase. We used the data collected with
INTEGRAL and RXTE during the April 2010 outburst of the source. We analyzed the
phase-averaged and phase-resolved spectra and performed pulse-to-pulse spectral
analysis of the pulsar. Our analysis reveals variability in the continuum
parameters of the pulse-averaged spectrum of the source with flux. The
pulse-averaged cyclotron line energy does not change with the source luminosity
during the outburst, which is consistent with previous studies. Our pulse-phase
resolved and pulse-to-pulse analyses reveal, however, indications for a
positive correlation of the cyclotron line energy with flux, as well as a
flux-dependence of the continuum parameters. Based on the observed behavior, we
argue that A 0535+26 operates at the sub-critical accretion regime.


title:
Adsorption of PTCDA and C60 on KBr(001): electrostatic interaction
  versus electronic hybridization

abstract:
  The adsorption of functional molecules on insulator surfaces is of great
importance to molecular electronics. We present a systematical investigation of
geometric and electronic properties of PTCDA and C60 on KBr(001) using DFT and
non-contact atomic force microscopy. It was found that electrostatics is the
primary interaction mechanism for PTCDA and C60 adsorbed on KBr. It was thus
concluded that alkali-halides is a competitive candidate to be adopted to
support low polarizability molecules, such as PTCDA, in future electronics.


title: On sums of generalized Ramanujan sums

abstract:
  Ramanujan sums have been studied and generalized by several authors. For
example, Nowak studied these sums over quadratic number fields, and Grytczuk
defined that on semigroups. In this note, we deduce some properties on sums of
generalized Ramanujan sums and give examples on number fields. In particular,
we have a relational expression between Ramanujan sums and residues of Dedekind
zeta functions.


title:
A Fully Polynomial-Time Approximation Scheme for Approximating a Sum of
  Random Variables

abstract:
  Given $n$ independent random variables $X_1, X_2, ..., X_n$ and an integer
$C$, we study the fundamental problem of computing the probability that the sum
$X=X_1+X_2+...+X_n$ is at most $C$. We assume that each random variable $X_i$
is implicitly given by an oracle which, given an input value $k$, returns the
probability $X_i\leq k$. We give the first deterministic fully polynomial-time
approximation scheme (FPTAS) to estimate the probability up to a relative error
of $1\pm \epsilon$. Our algorithm is based on the idea developed for
approximately counting knapsack solutions in [Gopalan et al. FOCS11].


title:
Optical generation of intense ultrashort magnetic pulses at the
  nanoscale

abstract:
  Generating, controlling, and sensing strong magnetic fields at ever shorter
time and length scales is important for both fundamental solid-state physics
and technological applications such as magnetic data recording. Here, we
propose a scheme for producing strong ultrashort magnetic pulses localized at
the nanoscale. We show that a bimetallic nanoring illuminated by femtosecond
laser pulses responds with transient thermoelectric currents of picosecond
duration, which in turn induce Tesla-scale magnetic fields in the ring cavity.
Our method provides a practical way of generating intense nanoscale magnetic
fields with great potential for materials characterization, terahertz radiation
generation, and data storage applications.


title:
A Robust Bayesian Dynamic Linear Model for Latin-American Economic Time
  Series: "The Mexico and Puerto Rico Cases"

abstract:
  The traditional time series methodology requires at least a preliminary
transformation of the data to get stationarity. On the other hand, Robust
Bayesian Dynamic Models (RBDMs) do not assume a regular pattern or stability of
the underlying system but can include points of statement breaks. In this paper
we use RBDMs in order to account possible outliers and structural breaks in
Latin-American economic time series. We work with important economic time
series from Puerto Rico and Mexico. We show by using a random walk model how
RBDMs can be applied for detecting historic changes in the economic inflation
of Mexico. Also, we model the Consumer Price Index (CPI), the Economic Activity
Index (EAI) and the total number of employments (TNE) economic time series in
Puerto Rico using local linear trend and seasonal RBDMs with observational and
states variances. The results illustrate how the model accounts the structural
breaks for the historic recession periods in Puerto Rico.


title: BV functions and sets of finite perimeter in sub-Riemannian manifolds

abstract:
  We give a notion of BV function on an oriented manifold where a volume form
and a family of lower semicontinuous quadratic forms $G_p: T_pM \to [0,\infty]$
are given. When we consider sub-Riemannian manifolds, our definition coincide
with the one given in the more general context of metric measure spaces which
are doubling and support a Poincar\'e inequality. We then focus on finite
perimeter sets, i.e., sets whose characteristic function is BV, in
sub-Riemannian manifolds. Under an assumption on the nilpotent approximation,
we prove a blowup theorem, generalizing the one obtained for step-2 Carnot
groups in [24].


title: Polylogarithmic Cuts in Models of V^0

abstract:
  We study initial cuts of models of weak two-sorted Bounded Arithmetics with
respect to the strength of their theories and show that these theories are
stronger than the original one. More explicitly we will see that
polylogarithmic cuts of models of $\mathbf{V}^0$ are models of $\mathbf{VNC}^1$
by formalizing a proof of Nepomnjascij's Theorem in such cuts. This is a
strengthening of a result by Paris and Wilkie. We can then exploit our result
in Proof Complexity to observe that Frege proof systems can be sub
exponentially simulated by bounded depth Frege proof systems. This result has
recently been obtained by Filmus, Pitassi and Santhanam in a direct proof. As
an interesting observation we also obtain an average case separation of
Resolution from AC0-Frege by applying a recent result with Tzameret.


title: vSkyConf: Cloud-assisted Multi-party Mobile Video Conferencing

abstract:
  As an important application in the busy world today, mobile video
conferencing facilitates virtual face-to-face communication with friends,
families and colleagues, via their mobile devices on the move. However, how to
provision high-quality, multi-party video conferencing experiences over mobile
devices is still an open challenge. The fundamental reason behind is the lack
of computation and communication capacities on the mobile devices, to scale to
large conferencing sessions. In this paper, we present vSkyConf, a
cloud-assisted mobile video conferencing system to fundamentally improve the
quality and scale of multi-party mobile video conferencing. By novelly
employing a surrogate virtual machine in the cloud for each mobile user, we
allow fully scalable communication among the conference participants via their
surrogates, rather than directly. The surrogates exchange conferencing streams
among each other, transcode the streams to the most appropriate bit rates, and
buffer the streams for the most efficient delivery to the mobile recipients. A
fully decentralized, optimal algorithm is designed to decide the best paths of
streams and the most suitable surrogates for video transcoding along the paths,
such that the limited bandwidth is fully utilized to deliver streams of the
highest possible quality to the mobile recipients. We also carefully tailor a
buffering mechanism on each surrogate to cooperate with optimal stream
distribution. We have implemented vSkyConf based on Amazon EC2 and verified the
excellent performance of our design, as compared to the widely adopted unicast
solutions.


title:
SURF imaging beams in an aberrative medium: generation and
  postprocessing enhancement

abstract:
  This paper presents numerical simulations of dual-frequency second-order
ultrasound field (SURF) reverberation suppression transmit-pulse complexes.
Such propagation was previously studied in a homogeneous medium. Here instead
the propagation path includes a strongly aberrating body-wall modeled by a
sequence of delay-screens. The applied SURF transmit pulse complexes each
consist of a high-frequency imaging 3.5 MHz pulse combined with a low-frequency
0.5 MHz sound speed manipulation pulse. Furthermore, the feasibility of two
signal post-processing methods are investigated using the aberrated transmit
SURF beams. These methods are previously shown to adjust the depth of maximum
SURF reverberation suppression within a homogeneous medium. The request of the
study arises because imaging situations where reverberation suppression is
useful are also likely to produce pulse wave-front distortion (aberration).
Such distortions could potentially produce time-delays that cancel the
accumulated propagation time-delay needed for the SURF reverberation
suppression technique. Results show that both the generation of synthetic SURF
reverberation suppression imaging transmit-beams, and the following
post-processing adjustments, are attainable even when a body-wall introduces
time-delays which are larger than previously reported delays measured on human
body-wall specimens.
  The peer-reviewed version of this paper is published in IEEE Transactions on
Ultrasonics, Ferroelectrics and Frequency Control, vol. 59, no. 11, pp.
2588-2595, November 2012. DOI: 10.1109/TUFFC.2012.2494 The final version is
available online at http://dx.doi.org/10.1109/TUFFC.2012.2494 The current
e-print is typeset by the authors and differs in e.g. pagination and
typographic detail.


title: The Bishop-Phelps-Bollob\'{a}s theorem for operators on $L_1(\mu)$

abstract:
  In this paper we show that the Bishop-Phelps-Bollob\'as theorem holds for
$\mathcal{L}(L_1(\mu), L_1(\nu))$ for all measures $\mu$ and $\nu$ and also
holds for $\mathcal{L}(L_1(\mu),L_\infty(\nu))$ for every arbitrary measure
$\mu$ and every localizable measure $\nu$. Finally, we show that the
Bishop-Phelps-Bollob\'as theorem holds for two classes of bounded linear
operators from a real $L_1(\mu)$ into a real $C(K)$ if $\mu$ is a finite
measure and $K$ is a compact Hausdorff space. In particular, one of the classes
includes all Bochner representable operators and all weakly compact operators.


title:
Uniform H\"older regularity with small exponent in
  competition-fractional diffusion systems

abstract:
  For a class of competition-diffusion nonlinear systems involving fractional
powers of the Laplacian, including as a special case the fractional
Gross-Pitaevskii system, we prove that uniform boundedness implies H\"older
boundedness for sufficiently small positive exponents, uniformly as the
interspecific competition parameter diverges. This implies strong convergence
of the family of solutions as the segregation of their support occurs.


title: Fractional vortex in asymmetric 0-$\pi$ long Josephson junctions

abstract:
  We consider an infinitely long 0-$\pi$ Josephson junction consisting of 0 and
$\pi$ regions having different critical current densities $j_{c,0}$ and
$j_{c,\pi}$. The ground state of such a junction corresponds to a spontaneosly
formed asymmetric semifluxon with tails decaying on different length scales. We
calculate the depinning current of such a fractional vortex and show that it is
different for positive and negative bias polarity. We also show that upon
application of a bias current, the fractional flux (topological charge)
associated with the vortex changes. We calculate the range of fractional flux
associated with the vortex when the bias changes from negative to positive
critical (depinning) values.


title:
A Truncated partial wave analysis of a complete experiment for
  photoproduction of two pseudoscalar mesons on a nucleon

abstract:
  A truncated partial wave analysis for the photoproduction of two pseudoscalar
mesons on a nucleon is discussed with respect to the determination of a
complete set of observables. For the selection of such a set we have applied a
criterion previously developed for photo- and electrodisintegration of a
deuteron, which allows one to find a 'minimal' set of observables for
determining the partial wave amplitudes up to possible discrete ambiguities.
The question of resolving the remaining ambiguities by invoking additional
observables is discussed for the simplest case, when the partial wave expansion
is truncated at the lowest total angular momentum of the final state
$J_{max}=1/2$. The resulting 'fully' complete set, allowing an unambiguous
determination of the partial wave amplitudes, is presented.


title: Structure of Chevalley groups over rings via universal localization

abstract:
  In the current article we study structure of a Chevalley group $G(R)$ over a
commutative ring $R$. We generalize and improve the following results: (1)
standard, relative, and multi-relative commutator formulas; (2) nilpotent
structure of [relative] $K_1$; (3) bounded word length of commutators. To this
end we enlarge the elementary group, construct a generic element for the
extended elementary group, and use localization in the universal ring. The key
step is a construction of a generic element for a principle congruence
subgroup, corresponding to a principle ideal.


title: An analysis of the stationary operation of atomic clocks

abstract:
  We develop an abstract model of atomic clocks that fully describes the
dynamics of repeated synchronization between a classical oscillator and a
quantum reference. We prove existence of a stationary state of the model and
study its dependence on the control scheme, the interrogation time and the
stability of the oscillator. For unbiased atomic clocks, we derive a
fundamental bound on atomic clocks long time stability for a given local
oscillator noise. In particular, we show that for a local oscillator noise with
integrated frequency variance scaling as $T^\alpha$ for short times $T$, the
optimal clock time variance scales as $F^{-(\alpha +1)/(\alpha +2)}$ with
respect to the quantum Fisher information, $F$, associated to the quantum
reference.


title: $g_{\rm NL}$ in the curvaton model constrained by PLANCK

abstract:
  As a simplest extension to the mass-term curvaton model, the curvaton model
with a polynomial potential can relax the restricted constraint from PLANCK due
to the non-linear dynamics of curvaton field before it decays. We find that
there is still a big room for producing a large negative $g_{\rm NL}$, but not
positive $g_{\rm NL}$. For example, we only need around 10% "tuning" for
$-g_{\rm NL}>10^4$.


title: Strongly real classes in finite unitary groups of odd characteristic

abstract:
  We classify all strongly real conjugacy classes of the finite unitary group
$\U(n, F_q)$ when $q$ is odd. In particular, we show that $g \in \U(n, F_q)$ is
strongly real if and only if $g$ is an element of some embedded orthogonal
group $O^{\pm}(n, F_q)$. Equivalently, $g$ is strongly real in $\U(n, F_q)$ if
and only if $g$ is real and every elementary divisor of $g$ of the form $(t \pm
1)^{2m}$ has even multiplicity. We apply this to obtain partial results on
strongly real classes in the finite symplectic group $\Sp(2n, F_q)$, $q$ odd,
and a generating function for the number of strongly real classes in $\U(n,
F_q)$, $q$ odd, and we also give partial results on strongly real classes in
$\U(n, F_q)$ when $q$ is even.


title: On Sparsity Inducing Regularization Methods for Machine Learning

abstract:
  During the past years there has been an explosion of interest in learning
methods based on sparsity regularization. In this paper, we discuss a general
class of such methods, in which the regularizer can be expressed as the
composition of a convex function $\omega$ with a linear function. This setting
includes several methods such the group Lasso, the Fused Lasso, multi-task
learning and many more. We present a general approach for solving
regularization problems of this kind, under the assumption that the proximity
operator of the function $\omega$ is available. Furthermore, we comment on the
application of this approach to support vector machines, a technique pioneered
by the groundbreaking work of Vladimir Vapnik.


title:
Direct connection between the different QCD orders for parton
  distribution and fragmentation functions

abstract:
  The formulas directly connecting parton distribution functions (PDFs) and
fragmentation functions (FFs) at the next to leading order (NLO) QCD with the
same quantities at the leading order (LO) are derived. These formulas are
universal, i.e. have the same form for all kinds of PDFs and FFs, differing
only in the respective splitting functions entering there.


title: Graphical Analysis of Social Group Dynamics

abstract:
  Identifying communities in social networks becomes an increasingly important
research problem. Several methods for identifying such groups have been
developed, however, qualitative analysis (taking into account the scale of the
problem) still poses serious problems. This paper describes a tool for
facilitating such an analysis, allowing to visualize the dynamics and
supporting localization of different events (such as creation or merging of
groups). In the final part of the paper, the experimental results performed
using the benchmark data (Enron emails) provide an insight into usefulness of
the proposed tool.


title: Hermite-Hadamard type inequalities for harmonically convex functions

abstract:
  The author introduce the concept of harmonically convex functions and
establish some Hermite-Hadamard type inequalities of these classes of functions


title: Volatility Swap Under the SABR Model

abstract:
  The SABR model is shortly presented and the volatility swap explained. The
fair value for a volatility swap is then computed using the usual theory in
financial mathematics. An analytical solution using confluent hypergeometric
functions is found. The solution is then verified using Rama Cont's functional
calculus.


title: Agent-based modelling of social organisations

abstract:
  In the paper, the model of the society represented by a social network and
the model of a multi-agent system built on the basis of this, is presented. The
particular aim of the system is to predict the evolution of a society and an
analysis of the communities that appear, their characteristic features and
reasons for coming into being. As an example of application, an analysis was
made of a social portal which makes it possible to offer and reserve places in
rooms for travelling tourists


title:
A Polyhedral Approximation Framework for Convex and Robust Distributed
  Optimization

abstract:
  In this paper we consider a general problem set-up for a wide class of convex
and robust distributed optimization problems in peer-to-peer networks. In this
set-up convex constraint sets are distributed to the network processors who
have to compute the optimizer of a linear cost function subject to the
constraints. We propose a novel fully distributed algorithm, named
cutting-plane consensus, to solve the problem, based on an outer polyhedral
approximation of the constraint sets. Processors running the algorithm compute
and exchange linear approximations of their locally feasible sets.
Independently of the number of processors in the network, each processor stores
only a small number of linear constraints, making the algorithm scalable to
large networks. The cutting-plane consensus algorithm is presented and analyzed
for the general framework. Specifically, we prove that all processors running
the algorithm agree on an optimizer of the global problem, and that the
algorithm is tolerant to node and link failures as long as network connectivity
is preserved. Then, the cutting plane consensus algorithm is specified to three
different classes of distributed optimization problems, namely (i) inequality
constrained problems, (ii) robust optimization problems, and (iii) almost
separable optimization problems with separable objective functions and coupling
constraints. For each one of these problem classes we solve a concrete problem
that can be expressed in that framework and present computational results. That
is, we show how to solve: position estimation in wireless sensor networks, a
distributed robust linear program and, a distributed microgrid control problem.


title: A note on two linear forms

abstract:
  We prove a result on approximations to a real number $\theta$ by algebraic
numbers of degree $\le 2$ in the case when we have information about the
uniform Diophantine exponent $\hat{\omega}$ for the linear form $x_0 +\theta
x_1+\theta^2x_2$.


title:
Modelling and analysing relations between entities using the
  multi-agents and social network approaches

abstract:
  In this work, the concept of a system for analysing social relations between
entities using the social network analysis and multi-agent system approaches is
presented. The following problems especially appear within the domain of our
interests: identification of the most influential individuals in a given
society, identification of roles played by the given individuals in that
society and the recognition of groups of individuals strongly connected with
one another. For the analysis of these problems, two application domains are
selected: an analysis of data regarding phone calls and analysis of Internet
Weblogs.


title:
Note on 2D Schr\"odinger operators with delta-interactions on angles and
  crossing lines

abstract:
  In this note we sharpen the lower bound from [LLP10] on the spectrum of the
2D Schroedinger operator with a delta-interaction supported on a planar angle.
Using the same method we obtain the lower bound on the spectrum of the 2D
Schroedinger operator with a delta-interaction supported on crossing straight
lines. The latter operators arise in the three-body quantum problem with
delta-interactions between particles.


title: On the Generalized Geometry Origin of Noncommutative Gauge Theory

abstract:
  We discuss noncommutative gauge theory from the generalized geometry point of
view. We argue that the equivalence between the commutative and semiclassically
noncommutative DBI actions is naturally encoded in the generalized geometry of
D-branes.


title: Thermal width and quarkonium dissociation by inelastic parton scattering

abstract:
  In a weak-coupling effective field theory framework we study quarkonium
dissociation induced by inelastic scattering with partons in the medium. This
is the dominant dissociation process for temperatures such that the Debye mass
is larger than the binding energy. We evaluate the dissociation cross section
and the corresponding thermal decay width. At leading order we derive a
convolution formula relating the two, which is consistent with the optical
theorem and QCD at finite temperature. Bound state effects are systematically
included. They add contributions to the cross section and width that are beyond
a quasi-free approximation, whose validity is critically reviewed. For
temperatures such that the Debye mass is smaller than the binding energy, the
dominant dissociation mechanism is gluo-dissociation consisting in quarkonium
dissociation induced by the absorbtion of a gluon from the medium. We calculate
the gluo-dissociation cross section and width at next-to-leading-order
accuracy.


title:
Giant Resonances based on Unitarily Transformed Two-Nucleon plus
  Phenomenological Three-Nucleon Interactions

abstract:
  We investigate giant resonances of spherical nuclei on the basis of the
Argonne V18 potential after unitary transformation within the Similarity
Renormalization Group or the Unitary Correlation Operator Method supplemented
by a phenomenological three-body contact interaction. Such Hamiltonians can
provide a good description of ground-state energies and radii within
Hartree-Fock plus low-order many-body perturbation theory. The standard Random
Phase Approximation is applied here to calculate the isoscalar monopole,
isovector dipole, and isoscalar quadrupole excitation modes of the 40Ca, 90Zr,
and 208Pb nuclei. Thanks to the inclusion of the three-nucleon interaction and
despite the minimal optimization effort, a reasonable agreement with
experimental centroid energies of all three modes has been achieved. The role
and scope of the Hartree-Fock reference state in RPA methods are discussed.


title:
Bayes versus the virial theorem: inferring the potential of a galaxy
  from a kinematical snapshot

abstract:
  We present a new framework for estimating a galaxy's gravitational potential,
Phi(x), from its stellar kinematics by adopting a fully non-parametric model
for the galaxy's unknown action-space distribution function, f(J). Having an
expression for the joint likelihood of Phi and f, the likelihood of Phi is
calculated by using a Dirichlet process mixture to represent the prior on f and
marginalising. We demonstrate that modelling machinery constructed using this
framework is successful at recovering the potentials of some simple systems
from perfect discrete kinematical data, a situation handled effortlessly by
traditional moment-based methods, such as the virial theorem, but in which
other, more modern, methods are less than satisfactory. We show how to
generalise the machinery to account for realistic observational errors and
selection functions. A practical implementation is likely to raise some
interesting algorithmic and computational challenges.


title: On the multifractal analysis of the branching random walk in R^d

abstract:
  We establish the almost sure validity of the multifractal formalism for
R^d-valued branching random walks on the whole relative interior of the natural
convex domain of study.


title: Mechanically driven growth of quasi-two dimensional microbial colonies

abstract:
  We study colonies of non-motile, rod-shaped bacteria growing on solid
substrates. In our model, bacteria interact purely mechanically, by pushing
each other away as they grow, and consume a diffusing nutrient. We show that
mechanical interactions control the velocity and shape of the advancing front,
which leads to features that cannot be captured by established
Fisher-Kolmogorov models. In particular, we find that the velocity depends on
the elastic modulus of bacteria or their stickiness to the surface.
Interestingly, we predict that the radius of an incompressible, strictly
two-dimensional colony cannot grow linearly in time. Importantly, mechanical
interactions can also account for the nonequilibrium transition between
circular and branching colonies, often observed in the lab.


title:
To the interpretation of the upturn observed by ATIC in heavy nuclei to
  iron ratios

abstract:
  It is argued that the upturn observed in heavy nuclei to iron ratios as
measured in the ATIC experiment could be understood within the model of closed
galaxy with embedded local regions containing the sources of CR (Peters,
Westergaard, 1977). The universal upturn near the energies of 200-300 GeV/n in
the spectra of abundant primary nuclei is also predicted by this model, but it
also predicts the source spectral index to be near 2.5.


title:
Impact of commuting on disease persistence in heterogeneous
  metapopulations

abstract:
  We use a stochastic metapopulation model to study the combined effects of
seasonality and spatial heterogeneity on disease persistence. We find a
pronounced effect of enhanced persistence associated with strong heterogeneity,
intermediate coupling strength and moderate seasonal forcing. Analytic
calculations show that this effect is not related with the phase lag between
epidemic bursts in different patches, but rather with the linear stability
properties of the attractor that describes the steady state of the system in
the large population limit.


title:
Critical Casimir forces between homogeneous and chemically striped
  surfaces

abstract:
  Recent experiments have measured the critical Casimir force acting on a
colloid immersed in a binary liquid mixture near its continuous demixing phase
transition and exposed to a chemically structured substrate. Motivated by these
experiments, we study the critical behavior of a system, which belongs to the
Ising universality class, for the film geometry with one planar wall chemically
striped, such that there is a laterally alternating adsorption preference for
the two species of the binary liquid mixture, which is implemented by surface
fields. For the opposite wall we employ alternatively a homogeneous adsorption
preference or homogeneous Dirichlet boundary conditions, which within a lattice
model are realized by open boundary conditions. By means of mean-field theory,
Monte Carlo simulations, and finite-size scaling analysis we determine the
critical Casimir force acting on the two parallel walls and its corresponding
universal scaling function. We show that in the limit of stripe widths small
compared with the film thickness, on the striped surface the system effectively
realizes Dirichlet boundary conditions, which generically do not hold for
actual fluids. Moreover, the critical Casimir force is found to be attractive
or repulsive, depending on the width of the stripes of the chemically patterned
surface and on the boundary condition applied to the opposing surface.


title:
Quantum mechanical analogue of the zeroth law of thermodynamics. (On the
  problem of incorporating Thermodynamics into Quantum Theory)

abstract:
  This approach to the incorporation of stochastic thermodynamics into quantum
theory is based on the conception of consistent inclusion of the holistic
stochastic environmental influence described by wave functions of the arbitrary
vacuum, which was proposed in our paper previously.
  In this study, we implement the possibility of explicitly incorporating the
zeroth law of stochastic thermodynamics in the form of the saturated
Schr\"odinger uncertainty relation into quantum theory. This allows
comparatively analyzing the sets of states of arbitrary vacuums, namely,
squeezed coherent states (SCSs) and correlated coherent states (CCSs). In
addition, we compare the results of the construction of stochastic
thermodynamics using SCSs and TCCSs with the versions involving the
incorporation of thermodynamics into quantum theory developed previously and
based on thermofield dynamics and quantum statistical mechanics.


title: Agent-based environment for knowledge integration

abstract:
  Representing knowledge with the use of ontology description languages offers
several advantages arising from knowledge reusability, possibilities of
carrying out reasoning processes and the use of existing concepts of knowledge
integration. In this work we are going to present an environment for the
integration of knowledge expressed in such a way. Guaranteeing knowledge
integration is an important element during the development of the Semantic Web.
Thanks to this, it is possible to obtain access to services which offer
knowledge contained in various distributed databases associated with
semantically described web portals. We will present the advantages of the
multi-agent approach while solving this problem. Then, we will describe an
example of its application in systems supporting company management knowledge
in the process of constructing supply-chains.


title: Global SPACING Constraint (Technical Report)

abstract:
  We propose a new global SPACING constraint that is useful in modeling events
that are distributed over time, like learning units scheduled over a study
program or repeated patterns in music compositions. First, we investigate
theoretical properties of the constraint and identify tractable special cases.
We propose efficient DC filtering algorithms for these cases. Then, we
experimentally evaluate performance of the proposed algorithms on a music
composition problem and demonstrate that our filtering algorithms outperform
the state-of-the-art approach for solving this problem.


title: Upturn observed in heavy nuclei to iron ratios by the ATIC-2 experiment

abstract:
  The ratios of fluxes of heavy nuclei from sulfur (Z=16) to chromium (Z=24) to
the flux of iron were measured by the ATIC-2 experiment. The ratios are
decreasing functions of energy from 5 GeV/n to approximately 80 GeV/n, as
expected. However, an unexpected sharp upturn in the ratios are observed for
energies above 100 GeV/n for all elements from Z=16 to Z=24. Similar upturn but
with lower amplitude was also discovered in the ATIC-2 data for the ratio of
fluxes of abundant even nuclei (C, O, Ne, Mg, Si) to the flux of iron.
Therefore the spectrum of iron is significantly different from the spectra of
other abundant even nuclei.


title:
A spectroscopically confirmed z=1.327 galaxy-scale deflector magnifying
  a z~8 Lyman-Break galaxy in the Brightest of Reionizing Galaxies survey

abstract:
  We present a detailed analysis of an individual case of gravitational lensing
of a $z\sim8$ Lyman-Break galaxy (LBG) in a blank field, identified in Hubble
Space Telescope imaging obtained as part of the Brightest of Reionizing
Galaxies survey. To investigate the close proximity of the bright
($m_{AB}=25.8$) $Y_{098}$-dropout to a small group of foreground galaxies, we
obtained deep spectroscopy of the dropout and two foreground galaxies using
VLT/X-Shooter. We detect H-$\alpha$, H-$\beta$, [OIII] and [OII] emission in
the brightest two foreground galaxies (unresolved at the natural seeing of
$0.8$ arcsec), placing the pair at $z=1.327$. We can rule out emission lines
contributing all of the observed broadband flux in $H_{160}$ band at
$70\sigma$, allowing us to exclude the $z\sim8$ candidate as a low redshift
interloper with broadband photometry dominated by strong emission lines. The
foreground galaxy pair lies at the peak of the luminosity, redshift and
separation distributions for deflectors of strongly lensed $z\sim8$ objects,
and we make a marginal detection of a demagnified secondary image in the
deepest ($J_{125}$) filter. We show that the configuration can be accurately
modelled by a singular isothermal ellipsoidal deflector and a S\'{e}rsic source
magnified by a factor of $\mu=4.3\pm0.2$. The reconstructed source in the
best-fitting model is consistent with luminosities and morphologies of $z\sim8$
LBGs in the literature. The lens model yields a group mass of
$9.62\pm0.31\times10^{11} M_{\odot}$ and a stellar mass-to-light ratio for the
brightest deflector galaxy of $M_{\star}/L_{B}=2.3^{+0.8}_{-0.6}
M_{\odot}/L_{\odot}$ within its effective radius. The foreground galaxies'
redshifts would make this one of the few strong lensing deflectors discovered
at $z>1$.


title: Resolving the molecular gas around the lensed quasar RXJ0911.4+0551

abstract:
  We report on high angular resolution observations of the CO(7-6) line and
millimeter continuum in the host galaxy of the gravitationally lensed (z~2.8)
quasar RXJ0911.4+0551 using the Plateau de Bure Interferometer. Our CO
observations resolve the molecular disk of the source. Using a lens model based
on HST observations we fit source models to the observed visibilities. We
estimate a molecular disk radius of 1$\pm$0.2 kpc and an inclination of
69$\pm$6\deg, the continuum is more compact and is only marginally resolved by
our observations. The relatively low molecular gas mass, $Mgas=(2.3\pm
0.5)\times 10^{9}$ Msolar, and far infrared luminosity, $LFIR=(7.2\pm 1.5)
\times 10^{11}$ Lsolar, of this quasar could be explained by its relatively low
dynamical mass, $Mdyn=(3.9\pm 0.9)\times 10^9$ Msolar. It would be a
scaled-down version the QSOs usually found at high-z. The FIR and CO
luminosities lie on the correlation found for QSOs from low to high redshifts
and the gas-to-dust ratio ($45\pm 17$) is similar to the one measured in the
z=6.4 QSO, SDSS J1148+5251. Differential magnification affects the
continuum-to-line luminosity ratio, the line profile and possibly the spectral
energy distribution.


title: Geometrical terms in the effective Hamiltonian for rotor molecules

abstract:
  An analogy between asymmetric rotor molecules and anisotropic cosmology can
be used to calculate new centrifugal distortion terms in the effective
potential of asymmetric rotor molecules which have no internal 3-fold symmetry.
The torsional potential picks up extra $\cos\alpha$ and $\cos2\alpha$
contributions, which are comparable to corrections to the momentum terms in
methanol and other rotor molecules with isotope replacements.


title:
Study of locally frozen magnetic field in a high-Tc superconducting
  ceramic

abstract:
  The properties of a locally frozen (in a region of diameter 0.5 mm) magnetic
field in a YBa2Cu3O7-x slab 0.5 mm thick are investigated as a function of the
value of the excitation field, the regime of freezing, and the transport
current through the sample. The first regime is cooling of the ceramic to 77 K
in the excitation field with a subsequent turning off of the excitation field,
and the second regime is cooling in the Earth's magnetic field with a
subsequent turning on and off of the excitation field. At an excitation field
up to 2000 A/m in these regimes two different types of macroscopic current
vortex structures, which generate the frozen field, are formed. The local
critical field of excitation when the vortex structure is formed in the second
regime exceeds the uniform perpendicular critical field of the slab by a factor
of 10 and equals 1700 A/m. On the other hand, the vortex structure of the first
type can be formed by practically any weak excitation field, including fields
smaller than the critical field of the vortex structure of the second type. In
a representation of the ceramic as a Josephson medium, physical models of the
two types of vortex structures are proposed which correspond most fully to the
results of experiments. The displacement of the vortex structure of the first
type upon the passage of transport current through the slab, as a result of the
action of the Lorentz force on that structure, is registered. This makes it
possible to calculate the pinning force Fp and to estimate the value of the
viscosity n for the motion of such a vortex structure in the ceramic: Fp=6x10-8
N, n =6x10-5 kg/s.


title: \`A propos des vari\'et\'es de Poncelet

abstract:
  We recall the definition of Poncelet varieties that generalize the celebrated
Poncelet curves introduced by Darboux. We show that any quadric and any smooth
cubic in the projective space of dimension three is a Poncelet surface but that
a general surface of degree greater than four is not.


title: Tensor tomography: progress and challenges

abstract:
  We survey recent progress in the problem of recovering a tensor field from
its integrals along geodesics. We also propose several open problems.


title:
Uncertainty study of nuclear model parameters for the n+ ^{56}Fe
  reactions in the fast neutron region below 20 MeV

abstract:
  In this work, we study the uncertainty of nuclear model parameters for
neutron induced ^{56}Fe reactions in fast neutron region by using the Total
Monte Carlo method. We perform a large number of TALYS runs and compare the
calculated results with the experimental data of the cross sections to obtain
the uncertainties of the model parameters. Based on the derived uncertainties
another 1000 TALYS runs have been performed to create random cross section
files. For comparison with the experimental data we calculate a weighted \chi^2
value for each random file as well as the ENDF/B-VII.1, JEFF3.1, JENDL4.0 and
CENDL3.1 data libraries. Furthermore, we investigate the optical model
parameters correlation obtained by way of this procedure.


title:
Using electromagnetic observations to aid gravitational-wave parameter
  estimation of compact binaries observed with LISA II: The effect of knowing
  the sky position

abstract:
  In this follow-up paper, we continue our study of the effect of using
knowledge from electromagnetic observations in the gravitational wave (GW) data
analysis of Galactic binaries that are predicted to be observed by the new
\textit{Laser Interferometer Space Antenna} in the low-frequency range,
$10^{-4} \:\mathrm{Hz}<f<1 \:\mathrm{Hz}$. In the first paper, we have shown
that the strong correlation between amplitude and inclination can be used for
mildly inclined binaries to improve the uncertainty in amplitude, and that this
correlation depends on the inclination of the system. In this paper we
investigate the overall effect of the other orientation parameters, namely the
sky position and the polarisation angle. We find that after the inclination,
the ecliptic latitude of the source has the strongest effect in determining the
GW parameter uncertainties. We ascertain that the strong correlation we found
previously, only depends on the inclination of the source and not on the other
orientation parameters. We find that knowing the sky position of the source
from electromagnetic data can reduce the GW parameter uncertainty up to a
factor of $\sim 2$, depending on the inclination and the ecliptic latitude of
the system. Knowing the sky position and inclination can reduce the uncertainty
in amplitude by a factor larger than 40. We also find that unphysical errors in
the inclinations, which we found when using the Fisher matrix, can affect the
corresponding uncertainties in the amplitudes, which need to be corrected.


title: Multiphoton Ionization of Magnesium in a Ti-Sapphire laser field

abstract:
  In this paper we report the theoretical results obtained for partial
ionization yields and the above-threshold ionization (ATI) spectra of Magnesium
in a Ti:sapphire laser field (804 nm) in the range of short pulse duration
(20-120 fs). Ionization yield, with linearly polarized light for a 120 fs laser
pulse, is obtained as a function of the peak intensity motivated by recent
experimental data \cite{gillen:2001}. For this, we have solved the
time-dependent Schr\"{o}dinger equation nonperturbatively on a basis of
discretized states obtained with two different methods; one with the
two-electron wavefunction relaxed at the boundaries, giving a quadratic
discretized basis and the other with the two-electron wavefunction expanded in
terms of Mg$^+$-orbitals plus one free electron allowing the handling of
multiple continua (open channels). Results, obtained with the two methods, are
compared and advantages and disadvantages of the open-channel method are
discussed.


title: Electrons and Positrons in Cosmic Rays

abstract:
  This review concentrates on the results obtained, over the last ten years, on
the astrophysics of high-energy cosmic ray electrons and positrons. The
anomalies, observed in the data of recent experiments (possible bump in the
electron spectrum and the PAMELA anomaly in the positron fraction) are
discussed through the systematic use of simple analytical solutions of the
transport equations for cosmic ray electrons. Three main ways of explaining the
origin of the anomalies are considered: the conservative way supposing the
positrons to be pure secondary particles; the nearby sources like pulsars
origin; and the dark matter origin. This review discusses, also, the inability
to select the pulsars model or the dark matter model to explain the electron
anomalies on the basis of the electron spectra with the usual large energy
binning ($\gtrsim15%$). It is argued that the signature of nearby pulsars
origin of the anomalies against the dark matter origin could be the fine
structure of the cosmic ray electron spectrum predicted in the Malyshev et al.
paper (2009) and which was observed in the data from the high-resolution ATIC
experiment (2009-2011). To date, the high-resolution ATIC data was the only
experimental result of this type published in the literature. Therefore, they
should be tested by other experiments as soon as possible. Generally, there is,
also, rather controversial situations between the data of the majority of
recent experiments and, consequently, there is a noted urgent need for new
high-precision and high-statistical experiments.


title:
Moments of the Dedekind zeta function and other non-primitive
  L-functions

abstract:
  We give a conjecture for the moments of the Dedekind zeta function of a
Galois extension via the hybrid product method. The moments of the product of
primes are evaluated using the Montgomery-Vaughan mean value theorem whilst for
the moments of the product over zeros we give a heuristic argument involving
random matrix theory. The asymptotic for the first moment of the product over
zeros is then proved for quadratic extensions. We are also able to reproduce
our main conjecture in the quadratic case by using a modified version of the
moments recipe. Finally, we generalise our methods to give a conjecture for
moments of non-primitive L-functions.


title:
Reliability and efficiency of generalized rumor spreading model on
  complex social networks

abstract:
  We introduce the generalized rumor spreading model and investigate some
properties of this model on different complex social networks. Despite pervious
rumor models that both the spreader-spreader ($SS$) and the spreader-stifler
($SR$) interactions have the same rate $\alpha$, we define $\alpha^{(1)}$ and
$\alpha^{(2)}$ for $SS$ and $SR$ interactions, respectively. The effect of
variation of $\alpha^{(1)}$ and $\alpha^{(2)}$ on the final density of stiflers
is investigated. Furthermore, the influence of the topological structure of the
network in rumor spreading is studied by analyzing the behavior of several
global parameters such as reliability and efficiency. Our results show that
while networks with homogeneous connectivity patterns reach a higher
reliability, scale-free topologies need a less time to reach a steady state
with respect the rumor.


title: Assessing the influence of the solar orbit on terrestrial biodiversity

abstract:
  The terrestrial fossil record shows a significant variation in the extinction
and origination rates of species during the past half billion years. Numerous
studies have claimed an association between this variation and the motion of
the Sun around the Galaxy, invoking the modulation of cosmic rays, gamma rays
and comet impact frequency as a cause of this biodiversity variation. However,
some of these studies exhibit methodological problems, or were based on coarse
assumptions (such as a strict periodicity of the solar orbit). Here we
investigate this link in more detail, using a model of the Galaxy to
reconstruct the solar orbit and thus a predictive model of the temporal
variation of the extinction rate due to astronomical mechanisms. We compare
these predictions as well as those of various reference models with
paleontological data. Our approach involves Bayesian model comparison, which
takes into account the uncertainties in the paleontological data as well as the
distribution of solar orbits consistent with the uncertainties in the
astronomical data. We find that various versions of the orbital model are not
favored beyond simpler reference models. In particular, the distribution of
mass extinction events can be explained just as well by a uniform random
distribution as by any other model tested. Although our negative results on the
orbital model are robust to changes in the Galaxy model, the Sun's coordinates
and the errors in the data, we also find that it would be very difficult to
positively identify the orbital model even if it were the true one. (In
contrast, we do find evidence against simpler periodic models.) Thus while we
cannot rule out there being some connection between solar motion and
biodiversity variations on the Earth, we conclude that it is difficult to give
convincing positive conclusions of such a connection using current data.

categories: astro-ph.GA astro-ph.EP physics.bio-ph physics.geo-ph q-bio.PE


title: Hyperbolic four-manifolds with one cusp

abstract:
  We introduce a simple algorithm which transforms every four-dimensional
cubulation into a cusped finite-volume hyperbolic four-manifold.
Combinatorially distinct cubulations give rise to topologically distinct
manifolds. Using this algorithm we construct the first examples of
finite-volume hyperbolic four-manifolds with one cusp. More generally, we show
that the number of $k$-cusped hyperbolic four-manifolds with volume smaller
than V grows like $C^{V log V}$ for any fixed $k$. As a corollary, we deduce
that the 3-torus bounds geometrically a hyperbolic manifold.


title:
Higher-Order Kinetic Expansion of Quantum Dissipative Dynamics: Mapping
  Quantum Networks to Kinetic Networks

abstract:
  We apply a new formalism to derive the higher-order quantum kinetic expansion
(QKE) for studying dissipative dynamics in a general quantum network coupled
with an arbitrary thermal bath. The dynamics of system population is described
by a time-convoluted kinetic equation, where the time-nonlocal rate kernel is
systematically expanded on the order of off-diagonal elements of the system
Hamiltonian. In the second order, the rate kernel recovers the expression of
the noninteracting-blip approximation (NIBA) method. The higher-order
corrections in the rate kernel account for the effects of the multi-site
quantum coherence and the bath relaxation. In a quantum harmonic bath, the rate
kernels of different orders are analytically derived. As demonstrated by four
examples, the higher-order QKE can reliably predict quantum dissipative
dynamics, comparing well with the hierarchic equation approach. More
importantly, the higher-order rate kernels can distinguish and quantify
distinct nontrivial quantum coherent effects, such as long-range energy
transfer from quantum tunneling and quantum interference arising from the phase
accumulation of interactions.


title:
Direct measurement of evolving dark energy density and
  super-accelerating expansion of the universe

abstract:
  A higher value of Hubble constant has been obtained from measurements with
nearby Type Ia supernovae, than that obtained at much higher redshift. With the
peculiar motions of their hosts, we find that the matter content at such low
redshift is only about 10% of that at much higher redshifts; such a low matter
density cannot be produced from density perturbations in the background of the
\Lambda CDM expansion. Recently the Planck team has reported a lower Hubble
constant and a higher matter content. We find that the dark energy density
increases with cosmic time, so that its equation-of-state parameter decreases
with cosmic time and is less than -1 at low redshift. Such dark energy
evolution is responsible for driving the super-accelerating expansion of the
universe. In this extended \Lambda CDM model, the cosmological redshift
represents time rather than radial coordinate, so that the universe complies to
the Copernican Principle.


title:
Anomalous dimensions of monopole operators in three-dimensional quantum
  electrodynamics

abstract:
  The space of local operators in three-dimensional quantum electrodynamics
contains monopole operators that create $n$ units of gauge flux emanating from
the insertion point. This paper uses the state-operator correspondence to
calculate the anomalous dimensions of these monopole operators perturbatively
to next-to-leading order in the $1/N_f$ expansion, thus improving on the
existing leading order results in the literature. Here, $N_f$ is the number of
two-component complex fermion flavors. The scaling dimension of the $n=1$
monopole operator is $0.265 N_f - 0.0383 + O(1/N_f)$ at the infrared conformal
fixed point.