title:
Invariant mass spectra of $\tau^{-} \rightarrow h^{-}h^{-}h^{+}\nu$
  decays

abstract:
  Using 342$fb^{-1}$ of $e^{+}e^{-}$ annihilation data collected with the BABAR
detector at the SLAC PEP-II electron-positron asymmetric energy collider
operating at a center-of-mass energies near 10.58GeV, we present the
preliminary measurements of the invariant mass distributions of $\tau^{-}
\rightarrow \pi^{-}\pi^{-}\pi^{+}\nu$, $\tau^{-} \rightarrow
K^{-}\pi^{-}\pi^{+}\nu$, $\tau^{-} \rightarrow K^{-}\pi^{-}K^{+}\nu$ and
$\tau^{-} \rightarrow K^{-}K^{-}K^{+}\nu$, where events with
$K_{S}^{0}\rightarrow \pi^{-}\pi^{+}$ decays are excluded.


title:
The bi-graded structure of Symmetric Algebras with applications to Rees
  rings

abstract:
  Consider a rational projective plane curve C parameterized by three
homogeneous forms h1,h2,h3 of the same degree d in the polynomial ring R=k[x,y]
over the field k. Extracting a common factor, we may harmlessly assume that the
ideal I=(h1,h2,h3)R has height two. Let phi be a homogeneous minimal
Hilbert-Burch matrix for the row vector [h1,h2,h3]. So, phi is a 3 by 2 matrix
of homogeneous forms from R; the entries in column m have degree dm, with d1
\le d2 and d1+d2=d. The Rees algebra $cal R$ of I is the subring k[h1t,h2t,h3t]
of the polynomial ring k[t]. The bi-projective spectrum of $cal R$ is the graph
of the parameterization of C; and therefore, there is a dictionary which
translates between the singularities of C and the algebra structure of $cal R$.
The ring $cal R$ is the quotient of the symmetric algebra Sym(I) by the ideal,
A, of local cohomology with support in the homogeneous maximal ideal of R. The
ideal A_{\ge d2-1}, which is an approximation of A, can be calculated using
linkage. We exploit the bi-graded structure of Sym(I) in order to describe the
structure of an improved approximation A_{\ge d1-1} when $d1<d2$ and phi has a
generalized zero in its first column. (The later condition is equivalent to
assuming that C has a singularity of multiplicity d2.) In particular, we give
the bi-degrees of a minimal bi-homogeneous generating set for this ideal. When
2=d1<d2 and phi has a generalized zero in its first column, then we record
explicit generators for A. When d1=d2, we provide a translation between the
bi-degrees of a bi-homogeneous minimal generating set for A_{d1-2} and the
number of singularities of multiplicity d1 which are on or infinitely near C.
We conclude with a table which translates between the bi-degrees of a
bi-homogeneous minimal generating set for A and the configuration of
singularities of C in the case that the curve C has degree six.


title: Surface code implementation of block code state distillation

abstract:
  State distillation is the process of taking a number of imperfect copies of a
particular quantum state and producing fewer better copies. Until recently, the
lowest overhead method of distilling states |A>=(|0>+e^{i\pi/4}|1>)/\sqrt{2}
produced a single improved |A> state given 15 input copies. New block code
state distillation methods can produce k improved |A> states given 3k+8 input
copies, potentially significantly reducing the overhead associated with state
distillation. We construct an explicit surface code implementation of block
code state distillation and quantitatively compare the overhead of this
approach to the old. We find that, using the best available techniques, for
parameters of practical interest, block code state distillation does not always
lead to lower overhead, and, when it does, the overhead reduction is typically
less than a factor of three.


title: The isomorphism relation for separable C*-algebras

abstract:
  We prove that the isomorphism relation for separable C$^*$-algebras, and also
the relations of complete and $n$-isometry for operator spaces and systems, are
Borel reducible to the orbit equivalence relation of a Polish group action on a
standard Borel space.


title: Polaronic effects in electron shuttling

abstract:
  Shuttle-like mechanism of electron transport through a single level vibrating
quantum dot is considered in the regime of strong electromechanical coupling.
It is shown that the increment of shuttle instability is a nonmonotonic
function of the driving voltage. The interplay of two oppositely acting effects
- vibron-assisted electron tunneling and polaronic blockade - results in
oscillations of the increment on the energy scale of vibron energy.


title: Entanglement-free certification of entangling gates

abstract:
  Not all quantum protocols require entanglement to outperform their classical
alternatives. The nonclassical correlations that lead to this quantum advantage
are conjectured to be captured by quantum discord. Here we demonstrate that
discord can be explicitly used as a resource: certifying untrusted entangling
gates without generating entanglement at any stage. We implement our protocol
in the single-photon regime, and show its success in the presence of high
levels of noise and imperfect gate operations. Our technique offers a practical
method for benchmarking entangling gates in physical architectures in which
only highly-mixed states are available.


title: Photoferroelectric solar to electrical conversion

abstract:
  We propose a charge pump which converts solar energy into DC electricity. It
is based on cyclic changes in the spontaneous electric polarization of a
photoferroelectric material, which allows a transfer of charge from a low to a
high voltage. To estimate the power efficiency we use a photoferroelectric
liquid crystal as the working substance. For a specific choice of material, an
efficiency of $2\%$ is obtained.


title: Computable Component-wise Reducibility

abstract:
  We consider equivalence relations and preorders complete for various levels
of the arithmetical hierarchy under computable, component-wise reducibility. We
show that implication in first order logic is a complete preorder for $\SI 1$,
the $\le^P_m$ relation on EXPTIME sets for $\SI 2$ and the embeddability of
computable subgroups of $(\QQ,+)$ for $\SI 3$. In all cases, the symmetric
fragment of the preorder is complete for equivalence relations on the same
level. We present a characterisation of $\PI 1$ equivalence relations which
allows us to establish that equality of polynomial time functions and inclusion
of polynomial time sets are complete for $\PI 1$ equivalence relations and
preorders respectively. We also show that this is the limit of the enquiry: for
$n\geq 2$ there are no $\PI n$ nor $\DE n$-complete equivalence relations.


title:
Travail, force vive et fatigue dans l'oeuvre de Daniel Bernoulli: vers
  l'optimisation du fait biologique (1738-1753) / Work, vis viva and tiredness
  in Daniel Bernoulli's works: towards the optimization of the biological fact
  (1738-1753)

abstract:
  The concept of mechanical work is inherited from the concepts of potentia
absoluta and men's work, both implemented in the Section IX of Daniel
Bernoulli's Hydrodynamica in 1738. Nonetheless, Bernoulli did not confuse those
two entities: he defined a link from gender to species between the former,
general, and the latter, organic. Besides, Bernoulli clearly distinguished vis
viva and potentia absoluta (or work). Their mutual conversions are rarely
explicitly mentionned in this book, except once, in the Section X of his work,
from vis viva to work, and subordinated to the mediation of a machine, in a
driving forces substitution problem. His attitude significantly evolved in a
text in 1753, in which work and vis viva were unambiguously connected, while
the concept of potentia absoluta was reduced to the one of men's work, and the
expression itself was abandoned. It was then accepted that work can be
converted into vis viva, but the opposite is true in only one case, the
intra-organic one. The concept of tiredness, seen as an expenditure of animal
spirits conceived themselves as little tensed springs liberating vis viva,
allowed direct conversion, even never quantified and listed simply as a model,
from vis viva to work. Thus, work may have ultimately appeared as a
transitional state between two kinds of vis viva, which the first is
non-quantifiable. At the same time, natural elements were discredited from any
hint of profitable production. Only men and animals were able to work in the
strict sense of the word. Nature did not work by itself, according to
Bernoulli. Despite his will to bring together rational mechanics and common
mechanics, one perceived in the work of Bernoulli the subsistence of a rarely
crossed disjunction between practical and theoretical fields.


title: Global quantum correlations in finite-size spin chains

abstract:
  We perform an extensive study of the properties of global quantum
correlations in finite-size one-dimensional quantum spin models at finite
temperature. By adopting a recently proposed measure for global quantum
correlations [C. C. Rulli, and M. S. Sarandy, Phys. Rev. A, 84, 042109 (2011)],
called global discord, we show that critical points can be neatly detected even
for many-body systems that are not in their ground state. We consider the
transverse Ising model, the cluster-Ising model where three-body couplings
compete with an Ising-like interaction, and the nearest-neighbor XX Hamiltonian
in transverse magnetic field. These models embody our canonical examples
showing the sensitivity of global quantum discord close to criticality. For the
Ising model, we find a universal scaling of global discord with the critical
exponents pertaining to the Ising universality class.


title:
Statistical mechanics of complex neural systems and high dimensional
  data

abstract:
  Recent experimental advances in neuroscience have opened new vistas into the
immense complexity of neuronal networks. This proliferation of data challenges
us on two parallel fronts. First, how can we form adequate theoretical
frameworks for understanding how dynamical network processes cooperate across
widely disparate spatiotemporal scales to solve important computational
problems? And second, how can we extract meaningful models of neuronal systems
from high dimensional datasets? To aid in these challenges, we give a
pedagogical review of a collection of ideas and theoretical methods arising at
the intersection of statistical physics, computer science and neurobiology. We
introduce the interrelated replica and cavity methods, which originated in
statistical physics as powerful ways to quantitatively analyze large highly
heterogeneous systems of many interacting degrees of freedom. We also introduce
the closely related notion of message passing in graphical models, which
originated in computer science as a distributed algorithm capable of solving
large inference and optimization problems involving many coupled variables. We
then show how both the statistical physics and computer science perspectives
can be applied in a wide diversity of contexts to problems arising in
theoretical neuroscience and data analysis. Along the way we discuss spin
glasses, learning theory, illusions of structure in noise, random matrices,
dimensionality reduction, and compressed sensing, all within the unified
formalism of the replica method. Moreover, we review recent conceptual
connections between message passing in graphical models, and neural computation
and learning. Overall, these ideas illustrate how statistical physics and
computer science might provide a lens through which we can uncover emergent
computational functions buried deep within the dynamical complexities of
neuronal networks.


title:
The Fundamental Theorem on Symmetric Polynomials: History's First Whiff
  of Galois Theory

abstract:
  We describe the Fundamental Theorem on Symmetric Polynomials (FTSP), exposit
a classical proof, and offer a novel proof that arose out of an informal course
on group theory. The paper develops this proof in tandem with the pedagogical
context that led to it. We also discuss the role of the FTSP both as a lemma in
the original historical development of Galois theory and as an early example of
the connection between symmetry and expressibility that is described by the
theory.


title: Linewidth of collimated wavelength-converted emission in Rb vapours

abstract:
  We present a study of the spectral linewidth of collimated blue light (CBL)
that results from wave mixing of low-power cw laser radiation at 780 nm and 776
nm and an internally-generated mid-IR field at 5.23 um in Rb vapour. Using a
high-finesse Fabry-Perot interferometer the spectral width of the CBL is found
to be less than 1.3 MHz for a wide range of experimental conditions. We
demonstrate that the CBL linewidth is mainly limited by the temporal coherence
of the applied laser fields rather than the atom-light interaction itself.
Results obtained with frequency modulated laser light allow an upper limit of
several hundred kHz to be set for the linewidth of the collimated mid-IR
radiation at 5.23 um, which has not been directly detected.


title: A note on selection stability: combining stability and prediction

abstract:
  Recently, many regularized procedures have been proposed for variable
selection in linear regression, but their performance depends on the tuning
parameter selection. Here a criterion for the tuning parameter selection is
proposed, which combines the strength of both stability selection and
cross-validation and therefore is referred as the prediction and stability
selection (PASS). The selection consistency is established assuming the data
generating model is a subset of the full model, and the small sample
performance is demonstrated through some simulation studies where the
assumption is either held or violated.


title: How to Meet Asynchronously at Polynomial Cost

abstract:
  Two mobile agents starting at different nodes of an unknown network have to
meet. This task is known in the literature as rendezvous. Each agent has a
different label which is a positive integer known to it, but unknown to the
other agent. Agents move in an asynchronous way: the speed of agents may vary
and is controlled by an adversary. The cost of a rendezvous algorithm is the
total number of edge traversals by both agents until their meeting. The only
previous deterministic algorithm solving this problem has cost exponential in
the size of the graph and in the larger label. In this paper we present a
deterministic rendezvous algorithm with cost polynomial in the size of the
graph and in the length of the smaller label. Hence we decrease the cost
exponentially in the size of the graph and doubly exponentially in the labels
of agents. As an application of our rendezvous algorithm we solve several
fundamental problems involving teams of unknown size larger than 1 of labeled
agents moving asynchronously in unknown networks. Among them are the following
problems: team size, in which every agent has to find the total number of
agents, leader election, in which all agents have to output the label of a
single agent, perfect renaming in which all agents have to adopt new different
labels from the set {1, . . . , k}, where k is the number of agents, and
gossiping, in which each agent has initially a piece of information (value) and
all agents have to output all the values. Using our rendezvous algorithm we
solve all these problems at cost polynomial in the size of the graph and in the
smallest length of all labels of participating agents.


title: Chameleons on the Racetrack

abstract:
  We modify the ansatz for embedding chameleon scalars in string theory
proposed in [1] by considering a racetrack superpotential with two KKLT-type
exponentials $e^{ia\varrho}$ instead of one. This satisfies all experimental
constraints, while also allowing for the chameleon to be light enough on
cosmological scales to be phenomenologically interesting.


title:
Remarks on the free boundary problem of compressible Euler equations in
  physical vacuum with general initial densities

abstract:
  In this paper, we establish a priori estimates for the three-dimensional
compressible Euler equations with moving physical vacuum boundary, the
$\gamma$-gas law equation of state for $\gamma=2$ and the general initial
density $\ri \in H^5$. Because of the degeneracy of the initial density, we
investigate the estimates of the horizontal spatial and time derivatives and
then obtain the estimates of the normal or full derivatives through the
elliptic-type estimates. We derive a mixed space-time interpolation inequality
which play a vital role in our energy estimates and obtain some extra estimates
for the space-time derivatives of the velocity in $L^3$.


title: A Static Spherically Symmetric Solution of the Einstein-aether Theory

abstract:
  By using of the Euler-Lagrange equations, we find a static spherically
symmetric solution in the Einstein-aether theory with the coupling constants
restricted. The solution is similar to the Reissner-Nordstrom solution in that
it has an inner Cauchy horizon and an outer black hole event horizon. But a
remarkable difference from the Reissner-Nordstrom solution is that it is not
asymptotically flat but approaches a two dimensional sphere. The resulting
electric potential is regular in the whole spacetime except for the curvature
singularity. On the other hand, the magnetic potential is divergent on both
Cauchy horizon and the outer event horizon.


title:
A priori estimates for free boundary problem of incompressible inviscid
  magnetohydrodynamic flows

abstract:
  In the present paper, we prove the a priori estimates of Sobolev norms for a
free boundary problem of the incompressible inviscid MHD equations in all
physical spatial dimensions $n=2$ and 3 by adopting a geometrical point of view
used in Christodoulou-Lindblad CPAM 2000, and estimating quantities such as the
second fundamental form and the velocity of the free surface. We identify the
well-posedness condition that the outer normal derivative of the total pressure
including the fluid and magnetic pressures is negative on the free boundary,
which is similar to the physical condition (Taylor sign condition) for the
incompressible Euler equations of fluids.


title:
Distribution of zeta zeroes for abelian covers of algebraic curves over
  a finite field

abstract:
  For a function field $k$ over a finite field with $\mathbb{F}_q$ as the field
of constant, and a finite abelian group $G$ whose exponent is divisible by
$q-1$, we study the distribution of zeta zeroes for a random $G$-extension of
$k$, ordered by the degree of conductors. We prove that when the degree goes to
infinity, the number of zeta zeroes lying in a prescribed arc is uniformly
distributed and the variance follows a Gaussian distribution.


title: Low Energy Investigations at Kamioka Observatory

abstract:
  At Kamioka Observatory many activities for low energy rare event search are
ongoing. Super-Kamiokande(SK), the largest water Cherenkov neutrino detector,
currently continues data taking as the fourth phase of the experiment (SK-IV).
In SK-IV, we have upgraded the water purification system and tuned water flow
in the SK tank. Consequently the background level was lowered significantly.
This allowed SK-IV to derive solar neutrino results down to 3.5MeV energy
region. With these data, neutrino oscillation parameters are updated from
global fit; $\Delta m^2_{12}=7.44^{+0.2}_{-0.19}\times10^{-5} {\rm eV}^2$,
$\sin^2\theta_{12}=0.304\pm0.013$, $\sin^2\theta_{13}=0.030^{+0.017}_{-0.015}$.
NEWAGE, the directional sensitive dark matter search experiment, is currently
operated as "NEWAGE-0.3a" which is a $0.20\times0.25\times0.31$ m$^3$ micro-TPC
filled with CF4 gas at 152 Torr. Recently we have developed "NEWAGE-0.3b". It
was succeeded to lower the operation pressure down to 76 Torr and the threshold
down to 50 keV (F recoils). XMASS experiment is looking for scintillation
signals from dark matter interaction in 1 ton of liquid xenon. It was designed
utilizing its self-shielding capability with fiducial volume confinement.
However, we could lower the analysis threshold down to 0.3 keVee using whole
volume of the detector. In February 2012, low threshold and very large exposure
data (5591 kg$\cdot$days) were collected. With these data, we have excluded
some part of the parameter spaces claimed by DAMA/LIBRA and CoGeNT experiments.

categories: physics.ins-det astro-ph.IM hep-ex nucl-ex


title:
Mixed harmonic azimuthal correlations in Pb--Pb collisions at
  \sqrt{s_{NN}}=2.76TeV measured with the ALICE experiment at the LHC

abstract:
  Mixed harmonic charge dependent azimuthal correlations at mid-rapidity in
Pb-Pb collisions at \sqrt{s_{NN}} = 2.76 TeV were measured with the ALICE
detector at the LHC. A clear charge dependence for a series of correlations is
observed both via the multi-particle cumulant and the event plane methods.
Implications from these measurements for the possible effects of local parity
violation in QCD and for models which incorporate azimuthal anisotropic flow
and "effective" local charge conservation on the kinetic freeze-out surface are
discussed.


title: Galaxy And Mass Assembly (GAMA): Spectroscopic analysis

abstract:
  The Galaxy And Mass Assembly (GAMA) survey is a multiwavelength photometric
and spectroscopic survey, using the AAOmega spectrograph on the
Anglo-Australian Telescope to obtain spectra for up to ~300000 galaxies over
280 square degrees, to a limiting magnitude of r_pet < 19.8 mag. The target
galaxies are distributed over 0<z<0.5 with a median redshift of z~0.2, although
the redshift distribution includes a small number of systems, primarily
quasars, at higher redshifts, up to and beyond z=1. The redshift accuracy
ranges from sigma_v~50km/s to sigma_v~100km/s depending on the signal-to-noise
of the spectrum. Here we describe the GAMA spectroscopic reduction and analysis
pipeline. We present the steps involved in taking the raw two-dimensional
spectroscopic images through to flux-calibrated one-dimensional spectra. The
resulting GAMA spectra cover an observed wavelength range of 3750<lambda<8850 A
at a resolution of R~1300. The final flux calibration is typically accurate to
10-20%, although the reliability is worse at the extreme wavelength ends, and
poorer in the blue than the red. We present details of the measurement of
emission and absorption features in the GAMA spectra. These measurements are
characterised through a variety of quality control analyses detailing the
robustness and reliability of the measurements. We illustrate the quality of
the measurements with a brief exploration of elementary emission line
properties of the galaxies in the GAMA sample. We demonstrate the luminosity
dependence of the Balmer decrement, consistent with previously published
results, and explore further how Balmer decrement varies with galaxy mass and
redshift. We also investigate the mass and redshift dependencies of the
[NII]/Halpha vs [OIII]/Hbeta spectral diagnostic diagram, commonly used to
discriminate between star forming and nuclear activity in galaxies.


title:
Evolution of the high-mass end of the stellar initial mass functions in
  starburst galaxies

abstract:
  We investigate the time evolution and spatial variation of the stellar
initial mass function (IMF) in star-forming disk galaxies by using
chemodynamical simulations with an IMF model depending both on local densities
and metallicities ([Fe/H]) of the interstellar medium (ISM). We find that the
slope (alpha) of a power-law IMF (N(m) ~ m^-alpha) for stellar masses larger
than 1M_sun evolves from the canonical Salpeter IMF (alpha ~ 2.35) to be
moderately top-heavy one (alpha ~ 1.9) in the simulated disk galaxies with
starbursts triggered by galaxy interaction. We also find that alpha in
star-forming regions correlates with star formation rate densities (Sigma_SFR
in units of M_sun yr^{-1} kpc^{-2}). Feedback effects of Type Ia and II
supernovae are found to prevent IMFs from being too top-heavy (alpha < 1.5).
The simulation predicts alpha ~ 0.23 log Sigma_SFR + 1.7 for log Sigma_SFR > -2
(i.e., more top-heavy in higher Sigma_SFR), which is reasonably consistent well
with corresponding recent observational results. The present study also
predicts that inner regions of starburst disk galaxies have smaller alpha thus
are more top-heavy (d alpha/d R ~ 0.07 kpc^{-1} for R < 5 kpc). The predicted
radial alpha gradient can be tested against future observational studies of the
alpha variation in star-forming galaxies.


title: Galaxy And Mass Assembly (GAMA): The Life and Times of L* Galaxies

abstract:
  In this work we investigate in detail the effects local environment (groups
and pairs) has on galaxies with stellar mass similar to the Milky-Way (L*
galaxies). A volume limited sample of 6,150 galaxies is classified to determine
emission features, morphological type and presence of a disk. This sample
allows for characteristics of galaxies to be isolated (e.g. stellar mass and
group halo mass), and their codependencies determined.
  We observe that galaxy-galaxy interactions play the most important role in
shaping the evolution within a group halo, the main role of halo mass is in
gathering the galaxies together to encourage such interactions. Dominant pair
galaxies find their overall star formation enhanced when the pair's mass ratio
is close to 1, otherwise we observe the same galaxies as we would in an
unpaired system. The minor galaxy in a pair is greatly affected by its
companion galaxy, and whilst the star forming fraction is always suppressed
relative to equivalent stellar mass unpaired galaxies, it becomes lower still
when the mass ratio of a pair system increases.
  We find that, in general, the close galaxy-galaxy interaction rate drops as a
function of halo mass for a given amount of stellar mass. We find evidence of a
local peak of interactions for Milky-Way stellar mass galaxies in Milky-Way
halo mass groups. Low mass halos, and in particular Local Group mass halos, are
an important environment for understanding the typical evolutionary path of a
unit of stellar mass.
  We find compelling evidence for galaxy conformity in both groups and pairs,
where morphological type conformity is dominant in groups, and emission class
conformity is dominant in pairs. This suggests that group scale conformity is
the result of many galaxy encounters over an extended period of time, whilst
pair conformity is a fairly instantaneous response to a transitory interaction.


title: How good is \mu-\tau symmetry after results on non-zero \theta_{13}?

abstract:
  Viability of the \mu-\tau interchange symmetry imposed as an approximate
symmetry (1) on the neutrino mass matrix {\cal M}_{\nu f} in the flavour basis
(2) simultaneously on the charged lepton mass matrix M_l and the neutrino mass
matrix M_\nu and (3) on the underlying Lagrangian is discussed in the light of
recent observation of a non-zero reactor mixing angle \theta_{13}. In case (1),
\mu-\tau symmetry breaking may be regarded as small (less than 20-30%) only for
the inverted or quasidegenerate neutrino mass spectrum and the normal hierarchy
would violate it by a large amount. The case (2) is more restrictive and the
requirement of relatively small breaking allows only the quasidegenerate
spectrum. If neutrinos obtain their masses from the type-I seesaw mechanism
then small breaking of the \mu-\tau symmetry in the underlying Lagrangian may
result in a large breaking in {\cal M}_{\nu f} and even the hierarchical
neutrino spectrum may also be consistent with mildly broken \mu-\tau symmetry
of the Lagrangian. Neutrinoless double beta decay provides a good means of
distinguishing above scenarios. In particular, non-observation of signal in
future experiments such as GERDA would rule out scenarios (1) and (2).


title:
The Three-Dimensional Structure of the M31 Satellite System; Strong
  Evidence for an Inhomogeneous Distribution of Satellites

abstract:
  We undertake an investigation into the spatial structure of the M31 satellite
system utilizing the distance distributions presented in a previous
publication. These distances make use of the unique combination of depth and
spatial coverage of the Pan-Andromeda Archaeological Survey (PAndAS) to provide
a large, homogeneous sample consisting of 27 of M31's satellites, as well as
M31 itself. We find that the satellite distribution, when viewed as a whole, is
no more planar than one would expect from a random distribution of equal size.
A disk consisting of 15 of the satellites is however found to be highly
significant, and strikingly thin, with a root-mean-square thickness of just
$12.34^{+0.75}_{-0.43}$ kpc. This disk is oriented approximately edge on with
respect to the Milky Way and almost perpendicular to the Milky Way disk. It is
also roughly orthogonal to the disk like structure regularly reported for the
Milky Way satellite system and in close alignment with M31's Giant Stellar
Stream. A similar analysis of the asymmetry of the M31 satellite distribution
finds that it is also significantly larger than one would expect from a random
distribution. In particular, it is remarkable that 20 of the 27 satellites most
likely lie on the Milky Way side of the galaxy, with the asymmetry being most
pronounced within the satellite subset forming the aforementioned disk. This
lopsidedness is all the more intriguing in light of the apparent orthogonality
observed between the satellite disk structures of the Milky Way and M31.


title:
The available force in long-range interaction complex systems and its
  statistical physical properties

abstract:
  A new concept of the available force in long-range interaction complex
systems is proposed. The relationship between the available force in different
time intervals and the interaction parameters of complex systems is described.
It is found that when the interaction parameters satisfy a determined
condition, the trajectory that the velocity is divergent but the displacement
is convergent can be well described and that the long-range interaction,
anomalous diffusion, and q-Gaussian type distribution of complex systems can
also be well described by the interaction parameters in different cases. In
addition, by utilizing the velocity of time series randomly and analyzing its
probability distribution of displacement, it is explained that when there
exists the long-range interaction in complex systems, the fat-tail
distributions will exhibit. The results obtained show that the relationship
between the available force and the interaction parameters may be used to
investigate the statistical physical properties in long-range interaction
complex systems.


title: $O(\alpha_s^2)$ corrections to fully-differential top quark decays

abstract:
  We describe a calculation of the fully-differential decay rate of a top quark
to a massless $b$-quark and a lepton pair at next-to-next-to-leading order in
perturbative QCD. Technical details of the calculation are discussed and
selected results for kinematic distributions are shown.


title:
A general variable neighborhood search for single-machine total
  tardiness scheduling problem with step-deteriorating jobs

abstract:
  In this article, we study a single-machine scheduling problem of minimizing
the total tardiness for a set of independent jobs. The processing time of a job
is modeled as a step function of its starting time and a specific deteriorating
date. A mixed integer programming model was applied to the problem and
validated. Since the problem is known to be NP-hard, we proposed a heuristic
named simple weighted search procedure (SWSP) and a general variable
neighborhood search algorithm (GVNS).
  A perturbation procedure with 3-opt is embedded within the GVNS process in
order to explore broader spaces. Extensive numerical experiments are carried
out on some randomly generated test instances so as to investigate the
performance of the proposed algorithms. By comparing to the results of the
CPLEX optimization solver, the heuristic SWSP and the standard variable
neighborhood search, it is shown that the proposed GVNS algorithm can provide
better solutions within a reasonable running time.


title:
Protection of quantum states from disturbance due to random potential by
  successive translation

abstract:
  We show a method to protect quantum states from the disturbance due to the
random potential by successive rapid manipulations of the quantum states. The
quantum states are kept undisturbed for a longer time than the case of the
simple trapping with a stationary potential. The effective potential, which the
quantum states feel, becomes uniform when the velocity of the transport is
sufficiently large. It is also shown that the alternating transport of a
Bose-Einstein condensate with the driving potential derived by fast-forward
scaling theory [Masuda and Nakamura, Proc. R. Soc. A 466, 1135 (2010)] can
protect it from the disturbance.


title:
Heavily Enhanced Dynamic Stark Shift in a System of Bose Einstein
  Condensation of Photons

abstract:
  The dynamic Stark shift of a high-lying atom in a system of Bose Einstein
condensation (BEC) of photons is discussed within the framework of
nonrelativistic quantum electrodynamics (QED) theory. It is found that the
Stark shift of an atom in BEC of photons is modified by a temperature dependent
factor, compared to that in a normal two-dimensional photonic fluid. In
photonic BEC, the value of Stark shift is always greater than that in
two-dimensional free space. Physical origin of the phenomenon is presented and
potential application is also discussed.


title: Electromagnetic contributions to pseudoscalar masses

abstract:
  We report on the calculation by the MILC Collaboration of the electromagnetic
effects on kaon and pion masses. These masses are computed in QCD with
dynamical (asqtad staggered) quarks plus quenched photons at three lattice
spacings varying from 0.12 to 0.06 fm. The masses are fit to staggered chiral
perturbation theory with NLO electromagnetic terms, as well as analytic terms
at higher order. We extrapolate the results to physical light-quark masses and
to the continuum limit. At the current stage of the analysis, most, but not
all, of the systematic errors have been estimated. The main goal is the
comparison of kaon electromagnetic splittings to those of the pion, i.e., an
evaluation of the corrections to "Dashen's theorem." This in turn will allow us
to significantly reduce the systematic errors in our determination of m_u/m_d.


title: Magnetic properties of graphene quantum dots

abstract:
  Using the tight-binding approximation we calculated the magnetic
susceptibility of graphene quantum dots (GQD) of different geometrical shapes
and sizes, smaller than the magnetic length, when the magnetic properties are
governed by the electron edge states. Two types of edge states can be
discerned: the zero-energy states (ZES) located exactly at the zero-energy
Dirac point, and the dispersed edge states (DES) with the energy close, but not
exactly equal to zero. DES are responsible for the temperature independent
diamagnetic response, while ZES provide the temperature dependent spin Curie
paramagnetism. The hexagonal, circular and randomly shaped GQDs contain mainly
DES and, as a result, they are diamagnetic. The edge states of the triangular
GQDs are ZES and these dots reveal the interplay between the spin
paramagnetism, dominating for small dots and at low temperatures, and bulk
orbital diamagnetism, dominating for large dots and at high temperatures.


title:
Solution to the one-dimensional telegrapher's equation subject to a
  backreaction boundary condition

abstract:
  We discuss solutions of the one-dimensional telegrapher's equation in the
presence of boundary conditions. We revisit the case of a radiation boundary
condition and obtain an alternative expression for the already known Green's
function. Furthermore, we formulate a backreaction boundary condition, which
has been widely used in the context of diffusion-controlled reversible
reactions, for a one-dimensional telegrapher's equation and derive the
corresponding Green's function.


title:
Ab-initio No-Core Gamow Shell Model calculations with realistic
  interactions

abstract:
  No-Core Gamow Shell Model (NCGSM) is applied for the first time to study
selected well-bound and unbound states of helium isotopes. This model is
formulated on the complex energy plane and, by using a complete Berggren
ensemble, treats bound, resonant, and scattering states on equal footing. We
use the Density Matrix Renormalization Group method to solve the many-body
Schr\"{o}dinger equation. To test the validity of our approach, we benchmarked
the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for
$^3$H and $^4$He nuclei. We also performed {\textit ab initio} NCGSM
calculations for the unstable nucleus $^5$He and determined the ground state
energy and decay width, starting from a realistic N$^3$LO chiral interaction.


title:
The Maximum Principles and Symmetry results for Viscosity Solutions of
  Fully Nonlinear Equations

abstract:
  This paper is concerned about maximum principles and radial symmetry for
viscosity solutions of fully nonlinear partial differential equations. We
obtain the radial symmetry and monotonicity properties for nonnegative
viscosity solutions of begin{equation}F (D^2 u)+u^p=0 \quad \quad \mbox{in}\
\mathbb R^n \label{abs}\end{equation} under the asymptotic decay rate
$u=o(|x|^{-\frac{2}{p-1}})$ at infinity, where $p>1$ (Theorem 1, Corollary 1).
As a consequence of our symmetry results, we obtain the nonexistence of any
nontrivial and nonnegative solution when $F$ is the Pucci extremal operators
(Corollary 2). Our symmetry and monotonicity results also apply to
Hamilton-Jacobi-Bellman or Isaccs equations. A new maximum principle for
viscosity solutions to fully nonlinear elliptic equations is established
(Theorem 2). As a result, different forms of maximum principles on bounded and
unbounded domains are obtained. Radial symmetry, monotonicity and the
corresponding maximum principle for fully nonlinear elliptic equations in a
punctured ball are shown (Theorem 3). We also investigate the radial symmetry
for viscosity solutions of fully nonlinear parabolic partial differential
equations (Theorem 4).


title:
Multi-spectral near perfect metamaterial absorbers using spatially
  multiplexed plasmon resonance metal square structures

abstract:
  Near perfect infrared light absorption at multi-spectral wavelengths has been
experimentally demonstrated by using multiplexed metal square plasmon resonance
structures. Optical power absorption over 95% has been observed in dual-band
metamaterial absorbers at two separate wavelengths and optical power absorption
over 92.5% has been observed in triple-band metamaterial absorbers at three
separate wavelengths. The peak absorption wavelengths are primarily determined
by the sizes of the metal squares in the multiplexed structures. Electrical
field distributions in the middle of the dielectric spacer layer were
calculated at the peak absorption wavelengths. It is shown that strong light
absorption corresponds to the local quadrupole plasmon resonance modes in the
metamaterial structures.


title:
On the (non)removability of spectral parameters in $Z_2$-graded
  zero-curvature representations and its applications

abstract:
  We generalise to the $\mathbb{Z}_2$-graded set-up a practical method for
inspecting the (non)removability of parameters in zero-curvature
representations for partial differential equations (PDEs) under the action of
smooth families of gauge transformations. We illustrate the generation and
elimination of parameters in the flat structures over $\mathbb{Z}_2$-graded
PDEs by analysing the link between deformation of zero-curvature
representations via infinitesimal gauge transformations and, on the other hand,
propagation of linear coverings over PDEs using the Fr\"olicher--Nijenhuis
bracket.


title: Robust Phase Estimation of Squeezed State

abstract:
  Optimal phase estimation of a phase-squeezed quantum state of light has been
recently shown to beat the coherent-state limit. Here, the estimation is made
robust to uncertainties in underlying parameters using a robust fixed-interval
smoother.


title:
High Precision Measurements of Carbon Disulfide Negative Ion Mobility
  and Diffusion

abstract:
  High precision measurements were made of reduced mobility, lateral and
longitudinal diffusion of CS2- negative ions in 40 Torr CS2 and a 30 - 10 Torr
CS2 - CF4 gas mixture. The reduced mobility was found to be 353.0 +/- 0.5 cm^2
Torr / s V in CS2 and 397.4 +/- 0.7 cm^2 Torr / s V in the CS2 - CF4 gas
mixture at STP. The lateral diffusion temperatures for these two gases (295 +/-
15 K and 297 +/- 6 K) were found to be in good agreement with room temperature.
By contrast longitudinal diffusion temperature was found to be slightly
elevated (319 +/- 10 (stat) +/- 8 (sys) K and 310 +/- 20 (stat) +/- 6 (sys) K)
though given the errors, room temperature diffusion can not be ruled out. For
lateral diffusion significant capture distances (0.21 +/- 0.07 mm and 0.15 +/-
0.03 mm) were measured while for longitudinal diffusion the results were not
conclusive.


title:
Strong Enhancement of the Critical Current at the Antiferromagnetic
  Transition in ErNi2B2C Single Crystals

abstract:
  We report on transport and magnetization measurements of the critical current
density Jc in ErNi2B2C single crystals that show strongly enhanced vortex
pinning at the Neel temperature TN and low applied fields. The height of the
observed Jc peak decreases with increasing magnetic field in clear contrast
with that of the peak effect found at the upper critical field. We also
performed the first angular transport measurements of Jc ever conducted on this
compound. They reveal the correlated nature of this pinning enhancement, which
we attribute to the formation of antiphase boundaries at TN.


title: A note on some best proximity point theorems proved under P-property

abstract:
  In this article we show that some recent results on the existence of best
proximity points can be obtained from the same result in fixed point theory.


title: Strange uniform random variables

abstract:
  In probability theory, there is a tendency to treat one random variable with
a given distribution as being just as good as any other. By and large this is
fine because probability is (mostly) concerned with distributional properties
of random variables. However, every now and again we are forced to deal with
non-distributional properties. In this paper we investigate how different
random variables with the same distribution can be. Specifically, we construct
random variables that are all uniformly distributed on the unit interval, but
that nonetheless have strikingly different properties.


title: The Star Cluster System in the Nearby Starburst Galaxy M82

abstract:
  We present a photometric study of star clusters in the nearby starburst
galaxy M82 based on the UBVI, YJ and H band Hubble Space Telescope images. We
find 1105 star clusters with V<23 mag. 1070 of them are located in the disk
region, while 35 star clusters are in the halo region. The star clusters in the
disk are composed of a dominant blue population with a color peak at (B-V)0 ~
0.45, and a weaker red population. The luminosity function of the disk clusters
shows a power-law distribution with a power law index alpha=-2.04+-0.03, and
the scale height of their distribution is h_z=9".64+-0".40 (164 +- 7 pc),
similar to that of the stellar thin disk of M82. We have derived the ages of
~630 star clusters using the spectral energy distribution fit method by
comparing UBVI(YJ)H band photometric data with the simple stellar population
models. The age distribution of the disk clusters shows that the most dominant
cluster population has ages ranging from 100 Myr to 1 Gyr, with a peak at about
500 Myr. This suggests that M82 has undergone a disk-wide star formation about
500 Myr ago, probably through the interaction with M81. The brightest star
clusters in the nuclear region are much brighter than those in other regions,
indicating that more massive star clusters are formed in the denser
environments. On the other hand, the colors of the halo clusters are similar to
those of globular clusters in the Milky Way Galaxy, and their ages are
estimated to be older than 1 Gyr. These are probably genuine old globular
clusters in M82.


title: Conformal change of Riemannian metrics and biharmonic maps

abstract:
  For the reduction ordinary differential equation due to Baird and Kamissoko
\cite{BK} for biharmonic maps from a Riemannian manifold $(M^m,g)$ into another
one $(N^n,h)$, we show that this ODE has no global positive solution for every
$m\geq 5$. On the contrary, we show that there exist global positive solutions
in the case $m=3$. As applications, for the the Riemannian product $(M^3,g)$ of
the line and a Riemann surface, we construct the new metric $\widetilde{g}$ on
$M^3$ conformal to $g$ such that every nontrivial product harmonic map from
$M^3$ with respect to the original metric $g$ must be biharmonic but not
harmonic with respect to the new metric $\widetilde{g}$.


title:
Enlargement of Grains of Silica Colloidal Crystals by Centrifugation in
  an Inverted-Triangle Internal-Shaped Container

abstract:
  We successfully fabricated large grains of silica colloidal crystals in an
inverted-triangle internal-shaped container (inverted-triangle container) by
centrifugation. The largest grain in the container was much larger than that in
a container which has a flat bottom and constant width (flat-bottomed
container). The edged bottom of the inverted-triangle container eliminated the
number of the grains, and then the broadened shape of the container effectively
widened the grains.


title:
The stable set of associated prime ideals of a squarefree principal
  Borel ideal

abstract:
  It is shown that a squarefree principal Borel ideal satisfies the persistence
property for the associated prime ideals. For the graded maximal ideal we
compute the index of stability with respect to squarefree principal Borel
ideals and determine their stable set of associated prime ideals.


title:
Weak Concurrent Kleene Algebra with Application to Algebraic
  Verification

abstract:
  We propose a generalisation of concurrent Kleene algebra \cite{Hoa09} that
can take account of probabilistic effects in the presence of concurrency. The
algebra is proved sound with respect to a model of automata modulo a variant of
rooted $\eta$-simulation equivalence. Applicability is demonstrated by
algebraic treatments of two examples: algebraic may testing and Rabin's
solution to the choice coordination problem.


title: Bringing Order to Special Cases of Klee's Measure Problem

abstract:
  Klee's Measure Problem (KMP) asks for the volume of the union of n
axis-aligned boxes in d-space. Omitting logarithmic factors, the best algorithm
has runtime O*(n^{d/2}) [Overmars,Yap'91]. There are faster algorithms known
for several special cases: Cube-KMP (where all boxes are cubes), Unitcube-KMP
(where all boxes are cubes of equal side length), Hypervolume (where all boxes
share a vertex), and k-Grounded (where the projection onto the first k
dimensions is a Hypervolume instance).
  In this paper we bring some order to these special cases by providing
reductions among them. In addition to the trivial inclusions, we establish
Hypervolume as the easiest of these special cases, and show that the runtimes
of Unitcube-KMP and Cube-KMP are polynomially related. More importantly, we
show that any algorithm for one of the special cases with runtime T(n,d)
implies an algorithm for the general case with runtime T(n,2d), yielding the
first non-trivial relation between KMP and its special cases. This allows to
transfer W[1]-hardness of KMP to all special cases, proving that no n^{o(d)}
algorithm exists for any of the special cases under reasonable complexity
theoretic assumptions. Furthermore, assuming that there is no improved
algorithm for the general case of KMP (no algorithm with runtime O(n^{d/2 -
eps})) this reduction shows that there is no algorithm with runtime
O(n^{floor(d/2)/2 - eps}) for any of the special cases. Under the same
assumption we show a tight lower bound for a recent algorithm for 2-Grounded
[Yildiz,Suri'12].


title:
Global Wellposeness for the 3D inhomogeneous incompressible
  Navier-Stokes equations

abstract:
  This paper addresses the three-dimensional Navier-Stokes equations for an
incompressible fluid whose density is permitted to be inhomogeneous. We
establish a theorem of global existence and uniqueness of strong solutions for
initial data with small $\dot{H}^{\frac12}$-norm, which also satisfies a
natural compatibility condition. A key point of the theorem is that the initial
density need not be strictly positive.


title: A stochastic algorithm finding $p$-means on the circle

abstract:
  A stochastic algorithm is proposed, finding some elements from the set of
intrinsic $p$-mean(s) associated to a probability measure $\nu$ on a compact
Riemannian manifold and to $p\in[1,\infty)$. It is fed sequentially with
independent random variables $(Y_n)_{n\in \mathbb{N}}$ distributed according to
$\nu$, which is often the only available knowledge of $\nu$. Furthermore, the
algorithm is easy to implement, because it evolves like a Brownian motion
between the random times when it jumps in direction of one of the $Y_n$,
$n\in\mathbb{N}$. Its principle is based on simulated annealing and
homogenization, so that temperature and approximations schemes must be tuned up
(plus a regularizing scheme if $\nu$ does not admit a H\"{o}lderian density).
The analysis of the convergence is restricted to the case where the state space
is a circle. In its principle, the proof relies on the investigation of the
evolution of a time-inhomogeneous $\mathbb{L}^2$ functional and on the
corresponding spectral gap estimates due to Holley, Kusuoka and Stroock. But it
requires new estimates on the discrepancies between the unknown instantaneous
invariant measures and some convenient Gibbs measures.


title:
Intragroup dark matter distribution in small groups of halos in a LCDM
  cosmology

abstract:
  We study the distribution of intragroup dark matter in small groups of dark
matter halos of galaxy-like size in a LCDM cosmology. These groups are
identified using a physical criterion and may be an appropriate representation
of small galaxy groups. We quantify the amount of intragroup dark matter and
characterize its distribution. We find that compact associations of halos, as
well as those intermediate and loose groups, have rather flat intragroup dark
matter profiles with logarithmic slopes of gamma ~0 and ~-0.2$, respectively.
Hence, the intragroup dark matter of these halo systems does not follow the
same cuspy tendency that halos of galaxies have. In intermediate and loose
galaxy-size halo associations the intragroup matter tends to be <50% that of
the total mass of the group, and in compact associations is <20% within their
group radius.


title:
Properties of Liquid Iron along the Melting Line up to the Earth-core
  Pressures

abstract:
  We report a molecular dynamics study of transport coefficients and infinite
frequency shear mod- ulus of liquid iron at high temperatures and high
pressures. We observe a simultaneous rise of both shear viscosity and diffusion
coefficient along the melting line and estimate if liquid iron can vitrify
under Earth-core conditions. We show that in frames of the model studied in our
work iron demonstrates a moderate increase of viscosity along the melting line.
It is also demonstrated that in the limit of high temperatures and high
pressures the liquid iron behaves similar to the soft spheres system with
exponent n=4.6.


title:
On the adjacency quantization in the equation modelling the Josephson
  effect

abstract:
  We investigate two-parametric family of non-autonomous ordinary differential
equations on the two-torus $$\dot x=\frac{dx}{dt}=\nu\sin x + a + s \sin t, \
a,\nu,s\in\rr; \ \nu\neq0 \text {is fixed},$$ that model the Josephson effect
from superconductivity. We study its rotation number as a function of
parameters $(a,s)$ and its {\it Arnold tongues}: the level sets of the rotation
number that have non-empty interior. Its Arnold tongues have many non-typical
properties: they exist only for integer rotation numbers (V.M.Buchstaber,
O.V.Karpov, S.I.Tertychnyi (2010); Yu.S.Ilyashenko, D.A.Ryzhov, D.A.Filimonov
(2011)); their boundaries are given by pairs of analytic curves
(V.M.Buchstaber, O.V.Karpov, S.I.Tertychnyi (2004, 2012)). Numerical
experiments and theoretical investigations (V.M.Buchstaber, O.V.Karpov,
S.I.Tertychnyi (2006); A.V.Klimenko and O.L.Romaskevich (2012)) show that each
Arnold tongue forms an infinite chain of adjacent domains separated by
adjacency points and going to infinity in asymptotically vertical direction.
Recent numerical experiments had also shown that the adjacencies of each Arnold
tongue have one and the same integer abscissa $a$ equal to the corresponding
rotation number. We prove this fact for every fixed $\nu$ with $|\nu|\leq1$. In
the general case we prove a weaker statement: the abscissa of each adjacency
point is integer; it has the same sign, as the rotation number; its modulus is
no greater than that of the rotation number. The proof is based on the
representation of the differential equations under consideration as
projectivizations of complex linear differential equations on the Riemann
sphere (V.M.Buchstaber, O.V.Karpov, S.I.Tertychnyi (2004); R.L.Foote (1998);
Yu.S.Ilyashenko, D.A.Ryzhov, D.A.Filimonov (2011)), and the classical theory of
complex linear equations.


title: Fast realization of a spatially correlated percolation model

abstract:
  We propose two schemes to achieve fast realizations of spatially correlated
percolation models. The schemes are shown to be efficient in complementary
regimes of correlation phase space. They are combined with a generalized
Newman-Ziff algorithm to numerically determine the percolation thresholds of
two-dimensional lattices in the presence of correlations. It is found that the
spatial correlations affect only a relatively small part of phase space.


title: A significance test for the lasso

abstract:
  In the sparse linear regression setting, we consider testing the significance
of the predictor variable that enters the current lasso model, in the sequence
of models visited along the lasso solution path. We propose a simple test
statistic based on lasso fitted values, called the covariance test statistic,
and show that when the true model is linear, this statistic has an
$\operatorname {Exp}(1)$ asymptotic distribution under the null hypothesis (the
null being that all truly active variables are contained in the current lasso
model). Our proof of this result for the special case of the first predictor to
enter the model (i.e., testing for a single significant predictor variable
against the global null) requires only weak assumptions on the predictor matrix
$X$. On the other hand, our proof for a general step in the lasso path places
further technical assumptions on $X$ and the generative model, but still allows
for the important high-dimensional case $p>n$, and does not necessarily require
that the current lasso model achieves perfect recovery of the truly active
variables. Of course, for testing the significance of an additional variable
between two nested linear models, one typically uses the chi-squared test,
comparing the drop in residual sum of squares (RSS) to a $\chi^2_1$
distribution. But when this additional variable is not fixed, and has been
chosen adaptively or greedily, this test is no longer appropriate: adaptivity
makes the drop in RSS stochastically much larger than $\chi^2_1$ under the null
hypothesis. Our analysis explicitly accounts for adaptivity, as it must, since
the lasso builds an adaptive sequence of linear models as the tuning parameter
$\lambda$ decreases. In this analysis, shrinkage plays a key role: though
additional variables are chosen adaptively, the coefficients of lasso active
variables are shrunken due to the $\ell_1$ penalty. Therefore, the test
statistic (which is based on lasso fitted values) is in a sense balanced by
these two opposing properties - adaptivity and shrinkage - and its null
distribution is tractable and asymptotically $\operatorname {Exp}(1)$.


title:
Simulated Energetic Particle Transport in the Interplanetary Space: The
  Palmer Consensus Revisited

abstract:
  Reproducing measurements of the scattering mean free paths for energetic
particles propagating through the solar system has been a major problem in
space physics. The pioneering work of Bieber et al. [Astrophys. J. 420, 294
(1994)] provided a theoretical explanation of such observations, which,
however, was based on assumptions such as the questionable hypothesis that
quasi-linear theory is correct for parallel diffusion. By employing a hybrid
plasma-wave/magnetostatic turbulence model, a test-particle code is used to
investigate the scattering of energetic particles. The results show excellent
agreement with solar wind observations.


title:
Characteristics of Final Particles in Multiple Compton Backscattering
  Process

abstract:
  An electron passing through a counter propagating intense laser beam can
interact with a few laser photons with emission of a hard photon in each
collision event. In contrast with the well-known nonlinear Compton
backscattering process the above mentioned process may be named as multiple
Compton backscattering process (MCBS). In this paper we have investigated the
evolution of the electron energy distribution during MCBS process using
Monte-Carlo (M-C) simulation. The main characteristics of such a distribution
as mean energy and variance obtained by M-C technique were compared with
analytical solutions of kinetic equations. We found the kinematic region where
the analytical solutions are applicable with a good accuracy. A photon
spectrum, even for the case when each electron emits one photon (in average)
differs significantly from that described by the Klein-Nishina formula.


title: On numerical turbulence generation for test-particle simulations

abstract:
  A modified method is presented to generate artificial magnetic turbulence
that is used for test-particle simulations. Such turbulent fields are obtained
from the superposition of a set of wave modes with random polarizations and
random directions of propagation. First, it is shown that the new method
simultaneously fulfils requirements of isotropy, equal mean amplitude and
variance for all field components, and vanishing divergence. Second, the number
of wave modes required for a stochastic particle behavior is investigated by
using a Lyapunov approach. For the special case of slab turbulence, it is shown
that already for 16 wave modes the particle behavior agrees with that shown for
considerably larger numbers of wave modes.


title: Topology of random simplicial complexes: a survey

abstract:
  This expository article is based on a lecture from the Stanford Symposium on
Algebraic Topology: Application and New Directions, held in honor of Gunnar
Carlsson, Ralph Cohen, and Ib Madsen.


title: Riemann Problem for a limiting system in elastodynamics

abstract:
  In this article, we discuss about the resolution of the Riemann problem for a
2x2 system in nonconservative form exhibiting parabolic degeneracy. The system
can be perceived as the limiting equation (depending on a parameter tending to
0) of a 2x2 strictly hyperbolic, genuinely nonlinear, non-conservative system
arising in context of a model in elastodynamics.


title: Dispersive analysis of $\tau^-\to\pi^-\pi^0\nu_\tau$ Belle data

abstract:
  We analyse Belle data on the decay $\tau^- \to \pi^- \pi^0 \nu_\tau$ using a
dispersive representation of the vector form factor which is consistent with
chiral symmetry and preserves analyticity and unitarity exactly. We fit the
unknown theoretical parameters from the data, determining the values of the
related low-energy observables $\left\langle r^2\right\rangle^\pi_V$ and
$c_V^\pi$. The implementation of isospin breaking effects is also discussed.


title:
Effective results for hyper- and superelliptic equations over number
  fields

abstract:
  We consider hyper- and superelliptic equations $f(x)=by^m$ with unknowns x,y
from the ring of S-integers of a given number field K. Here, f is a polynomial
with S-integral coefficients of degree n with non-zero discriminant and b is a
non-zero S-integer. Assuming that n>2 if m=2 or n>1 if m>2, we give completely
explicit upper bounds for the heights of the solutions x,y in terms of the
heights of f and b, the discriminant of K, and the norms of the prime ideals in
S. Further, we give a completely explicit bound C such that $f(x)=by^m$ has no
solutions in S-integers x,y if m>C, except if y is 0 or a root of unity. We
will apply these results in another paper where we consider hyper- and
superelliptic equations with unknowns taken from an arbitrary finitely
generated integral domain of characteristic 0.


title:
Radio-AGN in the AKARI-NEP field and their role in the evolution of
  galaxies

abstract:
  Radio-loud active galaxies have been found to exhibit a close connection to
galactic mergers and host galaxy star-formation quenching. We present
preliminary results of an optical spectroscopic investigation of the AKARI NEP
field. We focus on the population of radio-loud AGN and use photometric and
spectroscopic information to study both their star-formation and nuclear
activity components. Preliminary results show that radio-AGN are associated
with early type, massive galaxies with relatively old stellar populations.


title: Increasing Network Visibility Using Coded Repetition Beacon Piggybacking

abstract:
  Vehicular Ad hoc Networks (VANET) is one of the most challenging research
areas in the field of Mobile Ad Hoc Networks. In this research, we propose a
new mechanism for increasing network visibility, by taking the information
gained from periodic safety messages (beacons), and inserting it into a
'neighbor' table. The table will be propagated to all neighbors giving a wider
vision for each vehicle belonging to the network. It will also decrease the
risk of collision at road junctions as each vehicle will have prior knowledge
oncoming vehicles before reaching the junction.


title: Star-formation in the host galaxies of radio-AGN

abstract:
  There exist strong evidence supporting the co-evolution of central
supermassive black holes and their host galaxies. It is however still unclear
what the exact role of nuclear activity, in the form of accretion onto these
supermassive black holes, in this co-evolution is. We use a rich
multi-wavelength dataset available for the North Ecliptic Pole field, most
notably surveyed by the AKARI satellite infrared telescope to study the host
galaxy properties of AGN. In particular we are interested in investigating
star-formation in the host galaxies of radio-AGN and the putative radio
feedback mechanism, potentially responsible for the eventual quenching of
star-formation. Using both broadband SED modeling and optical spectroscopy, we
simultaneously study the nu- clear and host galaxy components of our sources,
as a function of their radio luminosity, bolo- metric luminosity, and
radio-loudness. Here we present preliminary results concerning the AGN content
of the radio sources in this field, while offering tentative evidence that jets
are inefficient star-formation quenchers, except in their most powerful state.


title: Two neutrino double-$\beta$ decay in the interacting boson-fermion model

abstract:
  A calculation of the spectroscopic properties, energy levels and
electromagnetic transitions and moments, of the ten nuclei $^{128,130}$Te,
$^{128,130}$I, $^{128,130}$Xe, $^{129,131}$I, $^{127,129}$Te within the
framework of the interacting boson model (IBM-2) and its extensions (IBFM-2 and
IBFFM-2) is presented. The wave functions so obtained are used to calculate
single-$\beta$ and $2\nu\beta\beta$ matrix elements for $^{128,130}$Te $\to$
$^{128,130}$I $\to$ $^{128,130}$Xe ecay. Use of the effective value of the
axial vector coupling constant $g_{A,\text{eff},\beta}$ extracted from
single-$\beta$ produces results for $2\nu\beta\beta$ in agreement with
experiment.


title: Calling patterns in human communication dynamics

abstract:
  Modern technologies not only provide a variety of communication modes, e.g.,
texting, cellphone conversation, and online instant messaging, but they also
provide detailed electronic traces of these communications between individuals.
These electronic traces indicate that the interactions occur in temporal
bursts. Here, we study the inter-call durations of the 100,000 most-active
cellphone users of a Chinese mobile phone operator. We confirm that the
inter-call durations follow a power-law distribution with an exponential cutoff
at the population level but find differences when focusing on individual users.
We apply statistical tests at the individual level and find that the inter-call
durations follow a power-law distribution for only 3460 individuals (3.46%).
The inter-call durations for the majority (73.34%) follow a Weibull
distribution. We quantify individual users using three measures: out-degree,
percentage of outgoing calls, and communication diversity. We find that the
cellphone users with a power-law duration distribution fall into three
anomalous clusters: robot-based callers, telecom frauds, and telephone sales.
This information is of interest to both academics and practitioners, mobile
telecom operator in particular. In contrast, the individual users with a
Weibull duration distribution form the fourth cluster of ordinary cellphone
users. We also discover more information about the calling patterns of these
four clusters, e.g., the probability that a user will call the $c_r$-th most
contact and the probability distribution of burst sizes. Our findings may
enable a more detailed analysis of the huge body of data contained in the logs
of massive users.


title: Jumps of ternary cyclotomic coefficients

abstract:
  It is known that two consecutive coefficients of a ternary cyclotomic
polynomial $\Phi_{pqr}(x)=\sum_k a_{pqr}(k)x^k$ differ by at most one. In this
paper we give a criterion on $k$ to satisfy $|a_{pqr}(k)-a_{pqr}(k-1)|=1$. We
use this to prove that the number of nonzero coefficients of the $n$th ternary
cyclotomic polynomial is greater than $n^{1/3}$.


title:
Effective results for Diophantine equations over finitely generated
  domains

abstract:
  Let A be an arbitrary integral domain of characteristic 0 which is finitely
generated over Z. We consider Thue equations $F(x,y)=b$ with unknowns x,y from
A and hyper- and superelliptic equations $f(x)=by^m$ with unknowns from A,
where the binary form F and the polynomial f have their coefficients in A,
where b is a non-zero element from A, and where m is an integer at least 2.
Under the necessary finiteness conditions imposed on F,f,m, we give explicit
upper bounds for the sizes of x,y in terms of suitable representations for
A,F,f,b Our results imply that the solutions of Thue equations and hyper- and
superelliptic equations over arbitrary finitely generated domains can be
determined effectively in principle. Further, we generalize a theorem of
Schinzel and Tijdeman to the effect, that there is an effectively computable
constant C such that $f(x)=by^m$ has no solutions in x,y from A with y not 0 or
a root of unity if m>C. In our proofs, we use effective results for Thue
equations and hyper- and superelliptic equations over number fields and
function fields, some effective commutative algebra, and a specialization
argument.


title:
Investigation of production routes for the 161Ho Auger-electron emitting
  radiolanthanide, a candidate for therapy

abstract:
  The radiolanthanide 161Ho (2.48 h) is a promising Auger-electron emitter for
internal radiotherapy that can be produced with particle accelerators. The
excitation functions of the natDy(p,xn)161Ho and natDy(d,x)161Ho reactions were
measured up to 40 and 50 MeV respectively by using the stacked foil activation
method and gamma-ray spectrometry. The experimental data were compared with
results of the TALYS code available in the TENDL 2011 library [1]. The main
parameters of different production routes are discussed.


title: A bijection between unicellular and bicellular maps

abstract:
  In this paper we present a combinatorial proof of a relation between the
generating functions of unicellular and bicellular maps. This relation is a
consequence of the Schwinger-Dyson equation of matrix theory. Alternatively it
can be proved using representation theory of the symmetric group. Here we give
a bijective proof by rewiring unicellular maps of topological genus $(g+1)$
into bicellular maps of genus $g$ and pairs of unicellular maps of lower
topological genera. Our result has immediate consequences for the folding of
RNA interaction structures, since the time complexity of folding the
transformed structure is $O((n+m)^5)$, where $n,m$ are the lengths of the
respective backbones, while the folding of the original structure has $O(n^6)$
time complexity, where $n$ is the length of the longer sequence.


title: Spatial degrees of freedom of MIMO systems in Line-of-Sight Environment

abstract:
  While the efficiency of MIMO transmissions in a rich scattering environment
has been demonstrated, less is known about the situation where the fading
matrix coefficients come from a line-of-sight model. In this paper, we study in
detail how this line-of-sight assumption affects the performance of distributed
MIMO transmissions between far away clusters of nodes in a wireless network.
Our analysis pertains to the study of a new class of random matrices.


title:
Light-tailed behavior of stationary distribution for state-dependent
  random walks on a strip

abstract:
  In this paper, we consider the state-dependent reflecting random walk on a
half-strip. We provide explicit criteria for (positive) recurrence, and an
explicit expression for the stationary distribution. As a consequence, the
light-tailed behavior of the stationary distribution is proved under
appropriate conditions. The key idea of the method employed here is the
decomposition of the trajectory of the random walk and the main tool is the
intrinsic branching structure buried in the random walk on a strip, which is
different from the matrix-analytic method.


title: Hitting Time Distribution for Skip-Free Markov Chains: A Simple Proof

abstract:
  A well-known theorem for an irreducible skip-free chain with absorbing state
$d$, under some conditions, is that the hitting (absorbing) time of state $d$
starting from state 0 is distributed as the sum of $d$ independent geometric
(or exponential) random variables. The purpose of this paper is to present a
direct and simple proof of the theorem in the cases of both discrete and
continuous time skip-free Markov chains. Our proof is to calculate directly the
generation functions (or Laplace transforms) of hitting times in terms of the
iteration method.


title:
An integral representation and properties of Bernoulli numbers of the
  second kind

abstract:
  In the paper, the author establishes an integral representation and
properties of Bernoulli numbers of the second kind and reveals that the
generating function of Bernoulli numbers of the second kind is a Bernstein
function on $(0,\infty)$.


title:
On the Renormalization of the Effective Field Theory of Large Scale
  Structures

abstract:
  Standard perturbation theory (SPT) for large-scale matter inhomogeneities is
unsatisfactory for at least three reasons: there is no clear expansion
parameter since the density contrast is not small on all scales; it does not
fully account for deviations at large scales from a perfect pressureless fluid
induced by short-scale non-linearities; for generic initial conditions, loop
corrections are UV-divergent, making predictions cutoff dependent and hence
unphysical. The Effective Field Theory of Large Scale Structures successfully
addresses all three issues. Here we focus on the third one and show explicitly
that the terms induced by integrating out short scales, neglected in SPT, have
exactly the right scale dependence to cancel all UV-divergences at one loop,
and this should hold at all loops. A particularly clear example is an Einstein
deSitter universe with no-scale initial conditions P_in=A k^n. After
renormalizing the theory, we use self-similarity to derive a very simple result
for the final power spectrum for any n, excluding two-loop corrections and
higher. We show how the relative importance of different corrections depend on
n. For n=-1.5, relevant for our universe, pressure and dissipative corrections
are more important than the two-loop corrections.


title: A Dynamic Programming Solution to a Generalized LCS Problem

abstract:
  In this paper, we consider a generalized longest common subsequence problem,
the string-excluding constrained LCS problem. For the two input sequences $X$
and $Y$ of lengths $n$ and $m$, and a constraint string $P$ of length $r$, the
problem is to find a common subsequence $Z$ of $X$ and $Y$ excluding $P$ as a
substring and the length of $Z$ is maximized. The problem and its solution were
first proposed by Chen and Chao\cite{1}, but we found that their algorithm can
not solve the problem correctly. A new dynamic programming solution for the
STR-EC-LCS problem is then presented in this paper. The correctness of the new
algorithm is proved. The time complexity of the new algorithm is $O(nmr)$.


title: A black-hole mass measurement from molecular gas kinematics in NGC4526

abstract:
  The masses of the supermassive black-holes found in galaxy bulges are
correlated with a multitude of galaxy properties, leading to suggestions that
galaxies and black-holes may evolve together. The number of reliably measured
black-hole masses is small, and the number of methods for measuring them is
limited, holding back attempts to understand this co-evolution. Directly
measuring black-hole masses is currently possible with stellar kinematics (in
early-type galaxies), ionised-gas kinematics (in some spiral and early-type
galaxies) and in rare objects which have central maser emission. Here we report
that by modelling the effect of a black-hole on the kinematics of molecular gas
it is possible to fit interferometric observations of CO emission and thereby
accurately estimate black hole masses. We study the dynamics of the gas in the
early-type galaxy NGC4526, and obtain a best fit which requires the presence of
a central dark-object of 4.5(+4.2-3.0)x10^8 Msun (3 sigma confidence limit).
With next generation mm-interferometers (e.g. ALMA) these observations could be
reproduced in galaxies out to 75 megaparsecs in less the 5 hours of observing
time. The use of molecular gas as a kinematic tracer should thus allow one to
estimate black-hole masses in hundreds of galaxies in the local universe, many
more than accessible with current techniques.


title:
Neutron-induced background by an alpha-beam incident on a deuterium gas
  target and its implications for the study of the 2H(alpha,gamma)6Li reaction
  at LUNA

abstract:
  The production of the stable isotope Li-6 in standard Big Bang
nucleosynthesis has recently attracted much interest. Recent observations in
metal-poor stars suggest that a cosmological Li-6 plateau may exist. If true,
this plateau would come in addition to the well-known Spite plateau of Li-7
abundances and would point to a predominantly primordial origin of Li-6,
contrary to the results of standard Big Bang nucleosynthesis calculations.
Therefore, the nuclear physics underlying Big Bang Li-6 production must be
revisited. The main production channel for Li-6 in the Big Bang is the
2H(alpha,gamma)6Li reaction. The present work reports on neutron-induced
effects in a high-purity germanium detector that were encountered in a new
study of this reaction. In the experiment, an {\alpha}-beam from the
underground accelerator LUNA in Gran Sasso, Italy, and a windowless deuterium
gas target are used. A low neutron flux is induced by energetic deuterons from
elastic scattering and, subsequently, the 2H(d,n)3He reaction. Due to the
ultra-low laboratory neutron background at LUNA, the effect of this weak flux
of 2-3 MeV neutrons on well-shielded high-purity germanium detectors has been
studied in detail. Data have been taken at 280 and 400 keV alpha-beam energy
and for comparison also using an americium-beryllium neutron source.


title:
Influence of MgO tunnel barrier thickness on spin-transfer ferromagnetic
  resonance and torque in magnetic tunnel junctions

abstract:
  Spin-transfer ferromagnetic resonance (ST-FMR) in symmetric magnetic tunnel
junctions (MTJs) with a varied thickness of the MgO tunnel barrier (0.75 nm <
$t_{MgO}$ < 1.05 nm) is studied using the spin-torque diode effect. The
application of an RF current into nanosized MTJs generates a DC mixing voltage
across the device when the frequency is in resonance with the resistance
oscillations arising from the spin transfer torque. Magnetization precession in
the free and reference layers of the MTJs is analyzed by comparing ST-FMR
signals with macrospin and micromagnetic simulations. From ST-FMR spectra at
different DC bias voltage, the in-plane and perpendicular torkances are
derived. The experiments and free-electron model calculations show that the
absolute torque values are independent of tunnel barrier thickness. The
influence of coupling between the free and reference layer of the MTJs on the
ST-FMR signals and the derived torkances are discussed.


title:
Emergence of Connectivity Motifs in Networks of Model Neurons with
  Short- and Long-term Plastic Synapses

abstract:
  Recent evidence in rodent cerebral cortex and olfactory bulb suggests that
short-term dynamics of excitatory synaptic transmission is correlated to
stereotypical connectivity motifs. It was observed that neurons with short-term
facilitating synapses form predominantly reciprocal pairwise connections, while
neurons with short-term depressing synapses form unidirectional pairwise
connections. The cause of these structural differences in synaptic
microcircuits is unknown. We propose that these connectivity motifs emerge from
the interactions between short-term synaptic dynamics (SD) and long-term
spike-timing dependent plasticity (STDP). While the impact of STDP on SD was
shown in vitro, the mutual interactions between STDP and SD in large networks
are still the subject of intense research. We formulate a computational model
by combining SD and STDP, which captures faithfully short- and long-term
dependence on both spike times and frequency. As a proof of concept, we
simulate recurrent networks of spiking neurons with random initial connection
efficacies and where synapses are either all short-term facilitating or all
depressing. For identical background inputs, and as a direct consequence of
internally generated activity, we find that networks with depressing synapses
evolve unidirectional connectivity motifs, while networks with facilitating
synapses evolve reciprocal connectivity motifs. This holds for heterogeneous
networks including both facilitating and depressing synapses. Our study
highlights the conditions under which SD-STDP might the correlation between
facilitation and reciprocal connectivity motifs, as well as between depression
and unidirectional motifs. We further suggest experiments for the validation of
the proposed mechanism.


title: Images of word maps in almost simple groups and quasisimple groups

abstract:
  It has been shown by Lubotzky in [10] that the set of verbal images of a
fixed non-abelian finite simple group G is precisely the set of endomorphism
invariant subsets of G. Here we use his result to determine the verbal images
of certain almost simple groups and quasisimple groups.


title: Approximate Counting of Graphical Models Via MCMC Revisited

abstract:
  In Pe\~na (2007), MCMC sampling is applied to approximately calculate the
ratio of essential graphs (EGs) to directed acyclic graphs (DAGs) for up to 20
nodes. In the present paper, we extend that work from 20 to 31 nodes. We also
extend that work by computing the approximate ratio of connected EGs to
connected DAGs, of connected EGs to EGs, and of connected DAGs to DAGs.
Furthermore, we prove that the latter ratio is asymptotically 1. We also
discuss the implications of these results for learning DAGs from data.


title:
A Domain Specific Language for kinematic models and fast implementations
  of robot dynamics algorithms

abstract:
  Rigid body dynamics algorithms play a crucial role in several components of a
robot controller and simulations. Real time constraints in high frequency
control loops and time requirements of specific applications demand these
functions to be very efficient. Despite the availability of established
algorithms, their efficient implementation for a specific robot still is a
tedious and error-prone task. However, these components are simply necessary to
get high performance controllers.
  To achieve efficient yet well maintainable implementations of dynamics
algorithms we propose to use a domain specific language to describe the
kinematics/dynamics model of a robot. Since the algorithms are parameterized on
this model, executable code tailored for a specific robot can be generated,
thanks to the facilities available for \dsls. This approach allows the users to
deal only with the high level description of their robot and relieves them from
problematic hand-crafted development; resources and efforts can then be focused
on open research questions.
  Preliminary results about the generation of efficient code for inverse
dynamics will be presented as a proof of concept of this approach.


title: Fractional maximal functions in metric measure spaces

abstract:
  We study the mapping properties of fractional maximal operators in Sobolev
and Campanato spaces in metric measure spaces. We show that, under certain
restrictions on the underlying metric measure space, fractional maximal
operators improve the Sobolev regularity of functions and map functions in
Campanato spaces to H\"older continuous functions. We also give an example of a
space where fractional maximal function of a Lipschitz function fails to be
continuous.


title:
Empirical Evidence for the Relevance of Fractional Scoring in the
  Calculation of Percentile Rank Scores

abstract:
  Fractional scoring has been proposed to avoid inconsistencies in the
attribution of publications to percentile rank classes. Uncertainties and
ambiguities in the evaluation of percentile ranks can be demonstrated most
easily with small datasets. But for larger datasets an often large number of
papers with the same citation count leads to the same uncertainties and
ambiguities which can be avoided by fractional scoring. This is demonstrated
for four different empirical datasets with several thousand publications each
which are assigned to 6 percentile rank classes. Only by utilizing fractional
scoring the total score of all papers exactly reproduces the theoretical value
in each case.


title: Transverse Entanglement of Biphotons

abstract:
  We measure the transverse entanglement of photon pairs on their propagation
from the near to the far field of spontaneous parametric downconversion (SPDC).
The Fedorov ratio, depending on the widths of conditional and unconditional
intensity measurements, is shown to be only able to characterize entanglement
in the near and far field zones of the source. Therefore we also follow a
different approach. By evaluating the first-order coherence of a subsystem of
the state we can quantify its entanglement. Unlike previous measurements, which
determine the Fedorov ratio via intensity correlations, our setup is sensitive
to both phase and modulus of the biphoton state and thus always grants
experimental access to the full transverse entanglement of the SPDC state. It
is shown theoretically that this scheme represents a direct measurement of the
Schmidt number.


title: Anisotropic branes

abstract:
  We present a class of anisotropic brane configurations which shows BKL
oscillations near their cosmological singularities. Near horizon limits of
these solutions represent Kasner space embedded in AdS background. Dynamical
probe branes in these geometries inherit anisotropies from the background.
Amusingly, for a probe M5 brane, we find that there exists a parameter region
where three of its world-volume directions expand while the rest contract.


title:
Electronic and optical properties of C-N-codoped TiO2: A
  first-principles GGA+U investigation

abstract:
  Electronic structures and optical properties of C-N-codoped anatase TiO2 were
calculated by using GGA+U method based on the density functional theory. The
calculated results showed that the N-doped, C-doped, and C-N-codoped TiO2
produced 2p states in band gap, and the band gaps of the three doped systems
decreased compared with the pure TiO2. According to the optical results, the
band edges of the three doped systems shifted to the long wavelength region,
and the visible optical absorption from 450 to 800 nm was observed. Moreover,
the visible light response of C-N-codoped TiO2 was better than the C or N
single doped TiO2, indicating that there was a synergistic effect for the
C-N-codoped TiO2, which offseted the deficiencies of C or N-doped TiO2.


title: Discrete approximations for sums of m-dependent random variables

abstract:
  Sums of of 1-dependent integer-valued random variables are approximated by
compound Poisson, negative binomial and Binomial distributions and signed
compound Poisson measures. Estimates are obtained for total variation and local
metrics. The results are then applied to statistics of $m$-dependent
$(k_1,k_2)$ events and 2-runs. Heinrich's method and smoothing properties of
convolutions are used for the proofs.


title: Higgs/Electroweak in the SM and the MSSM

abstract:
  This lecture discusses the Higgs boson sectors of the SM and the MSSM, in
particular in view of the recently discovered particle at \sim 125.5 GeV. It
also covers their connection to electroweak precision physics and the
implications for the consistency tests of the respective model.


title: Fractional Einstein-Hilbert Action Cosmology

abstract:
  We propose a new type of cosmological model derived from the fractional
variational principle when it is applied to the gravitational sector of action
functional. In contrast to the fractional cosmological model developed earlier
by the author from a fractional total action, in our new model the continuity
equation remains valid in its usual form. For this model, a lot of exact
solutions are obtained from a specific ansatz which is proposed for the
cosmological term in this paper. Several examples arising from the given
variations of the Hubble parameter with time are provided. Besides, we suggest
an original interpretation of the main equations for our model. It supposes
that the effective cosmological term could arise as a result of kinematical
induction through the non-zero Hubble parameter. With the help of particular
example, we demonstrate how this approach could lead our model quite closer to
the real behavior of the universe.


title: Ultra-fast outflows (aka UFOs) from AGNs and QSOs

abstract:
  During the last decade, strong observational evidence has been accumulated
for the existence of massive, high velocity winds/outflows (aka Ultra Fast
Outflows, UFOs) in nearby AGNs and in more distant quasars. Here we briefly
review some of the most recent developments in this field and discuss the
relevance of UFOs for both understanding the physics of accretion disk winds in
AGNs, and for quantifying the global amount of AGN feedback on the surrounding
medium.


title: A molecular perspective of water at metal interfaces

abstract:
  Water/solid interfaces are relevant to a broad range of physicochemical
phenomena and technological processes such as corrosion, lubrication,
heterogeneous catalysis and electrochemistry. Although many fields have
contributed to rapid progress in the fundamental knowledge of water at
interfaces, detailed molecular-level understanding of water/solid interfaces
comes mainly from studies on flat metal substrates. These studies have recently
shown that a remarkably rich variety of structures form at the interface
between water and even seemingly simple flat surfaces. In this Review we
discuss the most exciting work in this area, in particular the emerging
physical insight and general concepts about how water binds to metal surfaces.
We also provide a perspective on outstanding problems, challenges and open
questions.


title: Scalar field entanglement entropy for small Schwarzschild black hole

abstract:
  We consider scalar field entanglement entropy generated with black hole of
(sub)planck mass scale thus implying the unitary evolution of gravity. The
dependence on the dimension of the Hilbert space for degrees of freedom located
behind the horizon is taken into account. The obtained results contain
polylogarithmic terms.


title: Determination of c and b quark masses

abstract:
  The determination of quark masses has been transformed in the past few years
by accurate results from realistic lattice QCD. This has meant a range of new
methods for both b and c quarks which I will describe along with results from
continuum techniques. The recent improvement in Lattice QCD actions along with
the generation of gluon configurations including sea quarks on fine lattices
has given us viable methods for handling heavy quarks with relativistic
actions. This has allowed us for the first time to connect the heavy and light
sectors through accurate determination of ratios of quark masses, such as
m_c/m_s. Such ratios enable us to leverage the accuracy of c and b mass
determinations into accurate s and light quark masses. The comparison of quark
masses from different methods and formalisms provides a strong test of QCD and
the masses themselves are needed in calculations for the cross-sections of
various processes at LHC, for example H to bb.


title:
Precision tests of the J/psi from full lattice QCD: mass, leptonic width
  and radiative decay rate to eta_c

abstract:
  We show results from calculations in full lattice QCD of the mass, leptonic
width and radiative decay rate to eta_c of the J/psi meson. These provide few %
tests of QCD. Another (1.5%) test comes from comparison of time-moments of the
vector charmonium correlator with results derived from the experimental values
of R(e+e- to hadrons) in the charm region.


title:
Direct determination of strange and light quark condensates from full
  lattice QCD

abstract:
  We determine the strange and light quark condensates in full lattice QCD for
the first time. This is done by direct calculation of the expectation value of
the trace of the quark propagator followed by subtraction of the appropriate
perturbative contribution to convert to a value for the condensate in the
MS-bar scheme at 2 GeV. We use lattice QCD configurations including u, d, s and
c quarks in the sea with u/d quark masses going down to the physical value. We
find the ratio of the strange to the light quark condensate to be 1.08(16).


title: The potential of sparse photometric data in asteroid shape modeling

abstract:
  We investigate the potential of the sparse data produced by the Catalina Sky
Survey astrometric project (CSS for short) in asteroid shape and rotational
state determination by the lightcurve inversion method. We show that although
the photometric quality of the CSS data, compared to the dense data, is
significantly worse, it is in principle possible that these data are for some
asteroids with high lightcurve amplitudes sufficient for a unique shape
determination. CSS data are available for $\sim$180 asteroids for which shape
models were previously derived from different photometric data sets. For 13
asteroids from this sample, we derive their unique shape models based only on
CSS data, compare the two independent shape models together and discuss the
reliability of models derived from only CSS data. We also use CSS data to
determine shape models for asteroids with already known rotational period
values, derive 12 unique models and compare previously published periods with
periods determined from the full 3D modeling by the lightcurve inversion
method. Finally, we test different shape resolutions used in the lightcurve
inversion method in order to find reliable asteroid models.


title: Black hole spectroscopy from null geodesics

abstract:
  The quasinormal mode frequencies can be understood from the massless
particles trapped at the unstable circular null geodesics and slowly leaking
out to infinity. Base on this viewpoint, in this paper, we construct the
quantum entropy spectrum of the stationary black holes from the null geodesics
using the new physical interpretation of the quasinormal mode frequencies
proposed by Maggiore. Following this idea, we calculate the spacing of the
entropy spectrum for various types of black holes with or without the charge
and spin in any dimension $d$ of the spacetime. The result shows that the
spacing closely depends on the charge, spin, and the dimension of the
spacetime. Moreover, for a black hole far from the extremal case, the spacing
is found to be larger than $2\pi\hbar$ for $d=4$, while smaller than
$2\pi\hbar$ for $d\geq 5$, which is very different from the result of the
previous work by using the usual quasinormal mode frequencies, where the
spacing of the entropy spectrum is $2\pi\hbar$ and is independent of the black
hole parameters and dimension $d$.


title:
Thermodynamic Analysis Using First-Principles Calculations of Phases and
  Structures of LixNi0.5Mn1.5O4(0 <= x <= 1)

abstract:
  LiNi0.5Mn1.5O4, which has a spinel framework structure, is a promising
candidate for the cathode material of next-generation lithium-ion batteries
with high energy density. We investigate the structural transition in
LixNi0.5Mn1.5O4 (0 <= x <= 1) through first-principles calculations using the
projector augmented wave method with the generalized gradient approximation. We
calculate all the unique Li-site occupation configurations in a unit cell to
obtain the total energies and the most stable structures for various
compositions. Thermodynamic analysis shows that Li0.5Ni0.5Mn1.5O4 with x = 0.5
is the only stable phase for 0 < x < 1. The decomposition energy is lower than
0.1 eV for 0 < x < 0.5, but is distinctly higher for 0.5 < x < 1. The
decomposition energy reaches 0.39 eV at x = 0.75. The ratios of the structures
at room temperature are calculated from Boltzmann factors by using the energy
differences between structures. The crystal structure of the unit cell changes
gradually from x = 0 to 0.5, but changes markedly from x = 0.5 to 1. This
first-principles study provides a general evaluation of the variation in the
crystal structure with the composition of the bulk material, which affects the
cyclability of the electrode.


title: Heavy Elements in the Early Galaxy

abstract:
  The oldest stars in the universe retain to a great extent detailed
information on the chemical composition of the interstellar medium at the time
of their birth. Hence the earliest phases of Galactic chemical evolution and
nucleosynthesis in the early universe can be investigated by means of the old
metal-poor stars. For the majority of extremely metal-poor (EMP) stars the
element ratios follow a normal pattern, but 10-15% of the stars are enhanced in
heavy neutron-capture (r- or s-processes) elements by large factors, and about
20% are strongly enriched in carbon. The enhancement of some elements could be
the result of highly non-spherical supernova and inefficient mixing in the
early interstellar medium. Alternative, they could be due to mass transfer from
a former AGB or supernova binary companion that has now evolved to a white
dwarf or neutron star. If the latter explanation is true we can detect these
stars as long-period binaries. Radial velocity monitoring over a period of ~5
years of a sample of EMP stars with either r-process element and/or carbon
enhancement is presented. The results indicate that pure r-process and carbon
enhancements are not results of mass transfer from a binary companion.


title:
Analytic approximation in $L^p$ and coinvariant subspaces of the Hardy
  space

abstract:
  We generalize a classical result by A.Macintyre and W.Rogosinski on best
$H^p$--approximation in $L^p$ of rational functions. For each inner function
$\theta$ we give a description of $H^p$--badly approximable functions in $\bar
\theta H^p$.


title:
Detection of a multi-shell planetary nebula around the hot subdwarf
  O-type star 2MASS J19310888+4324577

abstract:
  (Abridged) The origin of hot subdwarf O-type stars (sdOs) remains unclear
since their discovery in 1947. Among others, a post-Asymptotic Giant Branch
(post-AGB) origin is possible for a fraction of sdOs. We are involved in a
comprehensive ongoing study to search for and to analyze planetary nebulae
(PNe) around sdOs with the aim of establishing the fraction and properties of
sdOs with a post-AGB origin. We use deep Halpha and [OIII] images of sdOs to
detect nebular emission and intermediate resolution, long-slit optical
spectroscopy of the detected nebulae and their sdO central stars. These data
are complemented with other observations for further analysis of the detected
nebulae. We report the detection of an extremely faint, complex PN around 2MASS
J19310888+4324577 (2M1931+4324), a star classified as sdO in a binary system.
The PN shows a bipolar and an elliptical shell, whose major axes are oriented
perpendicular to each other, and high-excitation structures outside the two
shells. WISE archive images show faint, extended emission at 12 and 22 microns
in the inner nebular regions. The internal nebular kinematics is consistent
with a bipolar and a cylindrical/ellipsoidal shell, in both cases with the main
axis mainly perpendicular to the line of sight. The nebular spectrum only
exhibits Halpha, Hbeta and [OIII]4959,5007 emission lines, but suggests a very
low-excitation ([OIII]/Hbeta = 1.5), in strong contrast with the absence of
low-excitation emission lines. The spectrum of 2M1931+4324 presents narrow,
ionized helium absorptions that confirm the previous sdO classification and
suggest an effective temperature >= 60000 K. The binary nature of 2M1931+4324,
its association with a complex PN, and several properties of the system provide
strong support for the idea that binary central stars are a crucial ingredient
in the formation of complex PNe.


title: On an isomonodromy deformation equation without the Painlev\'e property

abstract:
  We show that the fourth order nonlinear ODE which controls the pole dynamics
in the general solution of equation $P_I^2$ compatible with the KdV equation
exhibits two remarkable properties: 1) it governs the isomonodromy deformations
of a $2\times2$ matrix linear ODE with polynomial coefficients, and 2) it does
not possesses the Painlev\'e property. We also study the properties of the
Riemann--Hilbert problem associated to this ODE and find its large $t$
asymptotic solution for the physically interesting initial data.