title:
A Jastrow factor coupled cluster theory for weak and strong electron
  correlation

abstract:
  We present a Jastrow-factor-inspired variant of coupled cluster theory that
accurately describes both weak and strong electron correlation. Compatibility
with quantum Monte Carlo allows for variational energy evaluations and an
antisymmetric geminal power reference, two features not present in traditional
coupled cluster that facilitate a nearly exact description of the strong
electron correlations in minimal-basis N2 bond breaking. In double-zeta
treatments of the HF and H2O bond dissociations, where both weak and strong
correlations are important, this polynomial cost method proves more accurate
than either traditional coupled cluster or complete active space perturbation
theory. These preliminary successes suggest a deep connection between the ways
in which cluster operators and Jastrow factors encode correlation.


title:
Base Station Activation and Linear Transceiver Design for Optimal
  Resource Management in Heterogeneous Networks

abstract:
  In a densely deployed heterogeneous network (HetNet), the number of
pico/micro base stations (BS) can be comparable with the number of the users.
To reduce the operational overhead of the HetNet, proper identification of the
set of serving BSs becomes an important design issue. In this work, we show
that by jointly optimizing the transceivers and determining the active set of
BSs, high system resource utilization can be achieved with only a small number
of BSs. In particular, we provide formulations and efficient algorithms for
such joint optimization problem, under the following two common design
criteria: i) minimization of the total power consumption at the BSs, and ii)
maximization of the system spectrum efficiency. In both cases, we introduce a
nonsmooth regularizer to facilitate the activation of the most appropriate BSs.
We illustrate the efficiency and the efficacy of the proposed algorithms via
extensive numerical simulations.


title: Transient quantum fluctuation theorems and generalized measurements

abstract:
  The transient quantum fluctuation theorems of Crooks and Jarzynski restrict
and relate the statistics of work performed in forward and backward forcing
protocols. So far these theorems have been obtained under the assumption that
the work is determined by projective measurements at the end and the beginning
of each run of the protocols. We found that one can replace these projective
measurements only by special error-free generalized energy measurements with
pairs of tailored, protocol-dependent post-measurement states that satisfy
detailed balance-like relations. For other generalized measurements, the Crooks
relation is typically not satisfied. For the validity of the Jarzynski
equality, it is sufficient that the measurements are error-free and the
post-measurement states form a complete orthonormal set of elements in the
Hilbert space of the considered system. We illustrate our results by the
example of a two-level system for different generalized measurements.


title: Dynamic vs Oblivious Routing in Network Design

abstract:
  Consider the robust network design problem of finding a minimum cost network
with enough capacity to route all traffic demand matrices in a given polytope.
We investigate the impact of different routing models in this robust setting:
in particular, we compare \emph{oblivious} routing, where the routing between
each terminal pair must be fixed in advance, to \emph{dynamic} routing, where
routings may depend arbitrarily on the current demand. Our main result is a
construction that shows that the optimal cost of such a network based on
oblivious routing (fractional or integral) may be a factor of
$\BigOmega(\log{n})$ more than the cost required when using dynamic routing.
This is true even in the important special case of the asymmetric hose model.
This answers a question in \cite{chekurisurvey07}, and is tight up to constant
factors. Our proof technique builds on a connection between expander graphs and
robust design for single-sink traffic patterns \cite{ChekuriHardness07}.


title: Analysis of Blockage Effects on Urban Cellular Networks

abstract:
  Large-scale blockages like buildings affect the performance of urban cellular
networks, especially at higher frequencies. Unfortunately, such blockage
effects are either neglected or characterized by oversimplified models in the
analysis of cellular networks. Leveraging concepts from random shape theory,
this paper proposes a mathematical framework to model random blockages and
analyze their impact on cellular network performance. Random buildings are
modeled as a process of rectangles with random sizes and orientations whose
centers form a Poisson point process on the plane. The distribution of the
number of blockages in a link is proven to be Poisson random variable with
parameter dependent on the length of the link. A path loss model that
incorporates the blockage effects is proposed, which matches experimental
trends observed in prior work. The model is applied to analyze the performance
of cellular networks in urban areas with the presence of buildings, in terms of
connectivity, coverage probability, and average rate. Analytic results show
while buildings may block the desired signal, they may still have a positive
impact on network performance since they can block significantly more
interference.


title:
The K-Theory of a Simple Separable Exact C*-Algebra Not Isomorphic to
  Its Opposite Algebra

abstract:
  We construct uncountably many mutually nonisomorphic simple separable stably
finite unital exact C$^\ast$-algebras which are not isomorphic to their
opposite algebras. In particular, we prove that there are uncountably many
possibilities for the $K_0$-group, the $K_1$-group, and the tracial state space
of such an algebra. We show that these C*-algebras satisfy the Universal
Coefficient Theorem. This is new even for the already known example of an exact
C*-algebra nonisomorphic to its opposite algebra produced in earlier work.


title: On the determination of a function from cylindrical Radon transforms

abstract:
  This paper is devoted to a Radon-type transform arising in Photoacoustic
Tomography that uses integrating line detectors. We consider two situations:
when the line detectors are tangent to the boundary of a cylindrical domain and
when the line detectors are located on a plane. We present the analogue of the
Fourier slice theorems for each case of the Radon-type transforms. Also, we
provide several new inversion formulas, a support theorem, and stability
estimate and necessary range condition results.


title:
A location-mixture autoregressive model for online forecasting of lung
  tumor motion

abstract:
  Lung tumor tracking for radiotherapy requires real-time, multiple-step ahead
forecasting of a quasi-periodic time series recording instantaneous tumor
locations. We introduce a location-mixture autoregressive (LMAR) process that
admits multimodal conditional distributions, fast approximate inference using
the EM algorithm and accurate multiple-step ahead predictive distributions.
LMAR outperforms several commonly used methods in terms of out-of-sample
prediction accuracy using clinical data from lung tumor patients. With its
superior predictive performance and real-time computation, the LMAR model could
be effectively implemented for use in current tumor tracking systems.


title: Four lectures on secant varieties

abstract:
  This paper is based on the first author's lectures at the 2012 University of
Regina Workshop "Connections Between Algebra and Geometry". Its aim is to
provide an introduction to the theory of higher secant varieties and their
applications. Several references and solved exercises are also included.


title: Systematic Uncertainties in the Analysis of the Reactor Neutrino Anomaly

abstract:
  We examine uncertainties in the analysis of the reactor neutrino anomaly,
wherein it is suggested that only about 94% of the emitted antineutrino flux
was detected in short baseline experiments. We find that the form of the
corrections that lead to the anomaly are very uncertain for the 30% of the flux
that arises from forbidden decays. This uncertainty was estimated in four ways,
is as large as the size of the anomaly, and is unlikely to be reduced without
accurate direct measurements of the antineutrino flux. Given the present lack
of detailed knowledge of the structure of the forbidden transitions, it is not
possible to convert the measured aggregate fission beta spectra to antineutrino
spectra to the accuracy needed to infer an anomaly. Neutrino physics
conclusions based on the original anomaly need to be revisited, as do
oscillation analyses that assumed that the antineutrino flux is known to better
than approximately 4%.


title: $N^*(1920)(1/2^+)$ state in the $NK\bar{K}$ system

abstract:
  We study the three body $N \bar{K} K$ system by using the fixed center
approximation to the Faddeev equations, taking the interaction between $N$ and
$\bar{K}$, $N$ and $K$, and $\bar{K}$ and $K$ from the chiral unitary approach.
Our results suggest that a $N\bar{K}K$ hadron state, with spin-parity
$J^P=1/2^+$, and mass around 1920 MeV, can be formed.


title:
A 2-level system of cold sodium atoms with high and tunable
  susceptibility against the magnetic field

abstract:
  A 2-level spin-system of cold sodium atoms is proposed. Both the cases that
the system has arrived at thermo-equilibrium and is in the early stage of
evolution have been studied. This system is inert to the magnetic field $B$ in
general but very sensitive in a narrow domain around $B=B_0$, where $B_0$ can
be predicted and is tunable. A characteristic constant $\gamma=0.278466$
dedicated to various 2-level systems is found, and leads to a upper limit for
the internal energy $U$ of the whole system so that $U\leq\gamma k_B T$. This
limit is considerably lower than the energy assigned to the spatial motion of
only a single particle. Under thermo-equilibrium, the populations of
spin-components measured at distinct $T$ converge to a fixed value when
$B=B_0$. The period and amplitude of population oscillation are found to be
seriously affected by the special sensitivity against $B$. Rich messages on the
dynamic parameters could be obtained via experimental measurements of these
systems.


title:
The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using
  domain wall fermions

abstract:
  We report on a study of the finite-temperature QCD transition region for
temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two
space-time volumes: $24^3\times8$ and $32^3\times8$, where the larger volume
varies in linear size between 5.6 fm (at T=139 MeV) and 4.0 fm (at T=195 MeV).
These results are compared with the results of an earlier calculation using the
same action and quark masses but a smaller, $16^3\times8$ volume. The chiral
domain wall fermion formulation with a combined Iwasaki and dislocation
suppressing determinant ratio gauge action are used. This lattice action
accurately reproduces the $\sua$ and $\ua$ symmetries of the continuum. Results
are reported for the chiral condensates, connected and disconnected
susceptibilities and the Dirac eigenvalue spectrum. We find a pseudo-critical
temperature, $T_c$, of approximately 165 MeV consistent with previous results
and strong finite volume dependence below $T_c$. Clear evidence is seen for
$\ua$ symmetry breaking above $T_c$ which is quantitatively explained by the
measured density of near-zero modes in accordance with the dilute instanton gas
approximation.


title:
Nucleon-nucleon interactions via Lattice QCD: Methodology --HAL QCD
  approach to extract hadronic interactions in lattice QCD--

abstract:
  We review the potential method in lattice QCD, which has recently been
proposed to extract nucleon-nucleon interactions via numerical simulations. We
focus on the methodology of this approach by emphasizing the strategy of the
potential method, the theoretical foundation behind it, and special numerical
techniques. We compare the potential method with the standard finite volume
method in lattice QCD, in order to make pros and cons of the approach clear. We
also present several numerical results for the nucleon-nucleon potentials.


title: A Non-Local Means Filter for Removing the Poisson Noise

abstract:
  A new image denoising algorithm to deal with the Poisson noise model is
given, which is based on the idea of Non-Local Mean. By using the "Oracle"
concept, we establish a theorem to show that the Non-Local Means Filter can
effectively deal with Poisson noise with some modification. Under the
theoretical result, we construct our new algorithm called Non-Local Means
Poisson Filter and demonstrate in theory that the filter converges at the usual
optimal rate. The filter is as simple as the classic Non-Local Means and the
simulation results show that our filter is very competitive.


title: On Backward Doubly Stochastic Differential Evolutionary System

abstract:
  In this paper, we are concerned with backward doubly stochastic differential
evolutionary systems (BDSDESs for short). By using a variational approach based
on the monotone operator theory, we prove the existence and uniqueness of the
solutions for BDSDESs. We also establish an It\^o formula for the Banach
space-valued BDSDESs.


title: The coalescent point process of multi-type branching trees

abstract:
  We define a multi-type coalescent point process of a general branching
process with finitely many types. This multi-type coalescent fully describes
the genealogy of the (quasi-stationary) standing population, providing types
along ancestral lineages of all individuals in the standing population. We show
that this point-process is a functional of a certain Markov chain defined by
the planar embedding of the branching process. This Markov chain is further
used to determine statistical properties of the ancestral tree, such as the
time to the most recent common ancestor (MRCA) of two consecutive individuals
in the standing population, as well as of two individuals of the same type.
These formulae are particularly simple for branching processes with a
multi-type linear-fractional (LF) offspring distribution. We illustrate their
use by showing how an (a)symmetrical offspring distribution affects features of
the ancestral tree in a two-type LF branching processes.


title: A neighborhood condition for fractional ID-[a,b]-factor-critical graphs

abstract:
  Let $G$ be a graph of order $n$, and let $a$ and $b$ be two integers with
$1\leq a\leq b$. Let $h: E(G)\rightarrow [0,1]$ be a function. If
$a\leq\sum_{e\ni x}h(e)\leq b$ holds for any $x\in V(G)$, then we call $G[F_h]$
a fractional $[a,b]$-factor of $G$ with indicator function $h$ where
$F_h=\{e\in E(G): h(e)>0\}$. A graph $G$ is fractional
independent-set-deletable $[a,b]$-factor-critical (in short, fractional
ID-$[a,b]$-factor-critical) if $G-I$ has a fractional $[a,b]$-factor for every
independent set $I$ of $G$. In this paper, it is proved that if
$n\geq\frac{(a+2b)(2a+2b-3)+1}{b}$, $\delta(G)\geq\frac{bn}{a+2b}+a$ and
$|N_G(x)\cup N_G(y)|\geq\frac{(a+b)n}{a+2b}$ for any two nonadjacent vertices
$x,y\in V(G)$, then $G$ is fractional ID-$[a,b]$-factor-critical. Furthermore,
it is shown that this result is best possible in some sense.


title: Diffusion on networked systems is a question of time or structure

abstract:
  Network science investigates the architecture of complex systems to
understand their functional and dynamical properties. Structural patterns such
as communities shape diffusive processes on networks. However, these results
hold under the strong assumption that networks are static entities where
temporal aspects can be neglected. Here we propose a generalised formalism for
linear dynamics on complex networks, able to incorporate statistical properties
of the timings at which events occur. We show that the diffusion dynamics is
affected by the network community structure and by the temporal properties of
waiting times between events. We identify the main mechanism --- network
structure, burstiness or fat-tails of waiting times --- determining the
relaxation times of stochastic processes on temporal networks, in the absence
of temporal-structure correlations. We identify situations when fine-scale
structure can be discarded from the description of the dynamics or, conversely,
when a fully detailed model is required due to temporal heterogeneities.


title:
Trade integration and trade imbalances in the European Union: a network
  perspective

abstract:
  We study the ever more integrated and ever more unbalanced trade
relationships between European countries. To better capture the complexity of
economic networks, we propose two global measures that assess the trade
integration and the trade imbalances of the European countries. These measures
are the network (or indirect) counterparts to traditional (or direct) measures
such as the trade-to-GDP (Gross Domestic Product) and trade deficit-to-GDP
ratios. Our indirect tools account for the European inter-country trade
structure and follow (i) a decomposition of the global trade flow into
elementary flows that highlight the long-range dependencies between exporting
and importing economies and (ii) the commute-time distance for trade
integration,which measures the impact of a perturbation in the economy of a
country on another country, possibly through intermediate partners by domino
effect. Our application addresses the impact of the launch of the Euro. We find
that the indirect imbalance measures better identify the countries ultimately
bearing deficits and surpluses, by neutralizing the impact of trade transit
countries, such as the Netherlands. Among others, we find that ultimate
surpluses of Germany are quite concentrated in only three partners. We also
show that for some countries, the direct and indirect measures of trade
integration diverge, thereby revealing that these countries (e.g. Greece and
Portugal) trade to a smaller extent with countries considered as central in the
European Union network.

categories: physics.soc-ph cs.CE physics.data-an q-fin.GN


title: EgoNet-UIUC: A Dataset For Ego Network Research

abstract:
  In this report, we introduce the version one of EgoNet-UIUC, which is a
dataset for ego network research. The dataset contains about 230 ego networks
in Linkedin, which have about 33K users (with their attributes) and 283K
relationships (with their relationship types) in total. We name this dataset as
EgoNet-UIUC, which stands for Ego Network Dataset from University of Illinois
at Urbana-Champaign.


title: Randomized pivots for means of short and long memory linear processes

abstract:
  In this paper we introduce randomized pivots for the means of short and long
memory linear processes. We show that, under the same conditions, these pivots
converge in distribution to the same limit as that of their classical
non-randomized counterparts. We also present numerical results that indicate
that these randomized pivots significantly outperform their classical
counterparts and as a result they lead to a more accurate inference about the
population mean.


title:
Cross-Section Measurements of the 86Kr(g,n) Reaction to Probe the
  s-Process Branching at 85Kr

abstract:
  We have carried out photodisintegration cross-section measurements on 86Kr
using monoenergetic photon beams ranging from the neutron separation energy,
S_n = 9.86 MeV, to 13 MeV. We combine our experimental 86Kr(g,n)85Kr cross
section with results from our recent 86Kr(g,g') measurement below the neutron
separation energy to obtain the complete nuclear dipole response of 86Kr. The
new experimental information is used to predict the neutron capture cross
section of 85Kr, an important branching point nucleus on the abundance flow
path during s-process nucleosynthesis. Our new and more precise 85Kr(n,g)86Kr
cross section allows to produce more precise predictions of the 86Kr abundance
from s-process models. In particular, we find that the models of the s-process
in asymptotic giant branch stars of mass < 1.5 Msun, where the 13C neutron
source burns convectively rather than radiatively, represent a possible
solution for the highest 86Kr/82Kr ratios observed in meteoritic stardust SiC
grains.


title:
Boundary conditions for NLTE polarized radiative transfer with incident
  radiation

abstract:
  Polarized NLTE radiative transfer in the presence of scattering in spectral
lines and/or in continua may be cast in a so-called reduced form for six
reduced components of the radiation field. In this formalism the six components
of the reduced source function are angle-independent quantities. It thus
reduces drastically the storage requirement of numerical codes. This approach
encounters a fundamental problem when the medium is illuminated by a polarized
incident radiation, because there is a priori no way of relating the known (and
measurable) Stokes parameters of the incident radiation to boundary conditions
for the reduced equations. The origin of this problem is that there is no
unique way of deriving the radiation reduced components from its Stokes
parameters (only the inverse operation is clearly defined). The method proposed
here aims at enabling to work with arbitrary incident radiation field
(polarized or unpolarized). In previous works an ad-hoc treatment of the
boundary conditions, applying to cases where the incident radiation is
unpolarized, has been used. In this note we show that it is possible to account
for the incident radiation in a rigorous way, without any assumption on its
properties, by expressing the radiation field as the sum of a directly
transmitted radiation and of a so-called diffuse radiation. The diffuse
radiation field obeys a transfer equation with no incident radiation that may
be solved in the reduced form. The first scattering of the incident radiation
introduces primary creation terms in the six components of the reduced source
function. Once the reduced polarized transfer problem is solved for the diffuse
radiation field, its Stokes parameters can be computed. We perform numerical
computations of such cases, showing that the emergent line-polarization may be
significantly affected by the polarization of the incident radiation.


title: How to Identify an Infection Source with Limited Observations

abstract:
  A rumor spreading in a social network or a disease propagating in a community
can be modeled as an infection spreading in a network. Finding the infection
source is a challenging problem, which is made more difficult in many
applications where we have access only to a limited set of observations. We
consider the problem of estimating an infection source for a
Susceptible-Infected model, in which not all infected nodes can be observed.
When the network is a tree, we show that an estimator for the source node
associated with the most likely infection path that yields the limited
observations is given by a Jordan center, i.e., a node with minimum distance to
the set of observed infected nodes. We also propose approximate source
estimators for general networks. Simulation results on various synthetic
networks and real world networks suggest that our estimators perform better
than distance, closeness, and betweenness centrality based heuristics.


title:
Ramanujan's radial limits and mixed mock modular bilateral
  $q$-hypergeometric series

abstract:
  Using results from Ramanujan's lost notebook, Zudilin recently gave an
insightful proof of a radial limit result of Folsom, Ono, and Rhoades for mock
theta functions. Here we see that the author's previous work on the dual nature
of Appell--Lerch sums and partial theta functions and on constructing bilateral
$q$-series with mixed mock modular behaviour is well-suited for such radial
limits. We present five more radial limit results which follow from mixed mock
modular bilateral $q$-hypergeometric series. We also obtain the mixed mock
modular bilateral series for a universal mock theta function of Gordon and
McIntosh. The later bilateral series can be used to compute radial limits for
many classical second, sixth, eight, and tenth order mock theta functions.


title:
Some Biorthogonal Families of Polynomials Arising in Noncommutative
  Quantum Mechanics

abstract:
  In this paper we study families of complex Hermite polynomials and construct
deformed versions of them, using a $GL(2,\mathbb{C})$ transformation. This
construction leads to the emergence of biorthogonal families of deformed
complex Hermite polynomials, which we then study in the context of a
two-dimensional model of noncommutative quantum mechanics.


title: The Development of ADS Virtual Accelerator Based on XAL

abstract:
  XAL is a high level accelerator application framework originally developed by
the Spallation Neutron Source (SNS), Oak Ridge National Laboratory. It has
advanced design concept and adopted by many international accelerator
laboratories. Adopting XAL for ADS is a key subject in the long term. This
paper will present the modifications to the original XAL applications for ADS.
The work includes proper relational database schema modification in order to
better suit ADS configuration data requirement, redesigning and re-implementing
db2xal application and modifying the virtual accelerator application. In
addition, the new device types and new device attributes for ADS online
modeling purpose is also described here.


title: Sparsity-promoting dynamic mode decomposition

abstract:
  Dynamic mode decomposition (DMD) represents an effective means for capturing
the essential features of numerically or experimentally generated flow fields.
In order to achieve a desirable tradeoff between the quality of approximation
and the number of modes that are used to approximate the given fields, we
develop a sparsity-promoting variant of the standard DMD algorithm. In our
method, sparsity is induced by regularizing the least-squares deviation between
the matrix of snapshots and the linear combination of DMD modes with an
additional term that penalizes the $\ell_1$-norm of the vector of DMD
amplitudes. The globally optimal solution of the resulting regularized convex
optimization problem is computed using the alternating direction method of
multipliers, an algorithm well-suited for large problems. Several examples of
flow fields resulting from numerical simulations and physical experiments are
used to illustrate the effectiveness of the developed method.

categories: physics.flu-dyn math.DS math.OC physics.data-an


title: A New Class of Index Coding Instances Where Linear Coding is Optimal

abstract:
  We study index-coding problems (one sender broadcasting messages to multiple
receivers) where each message is requested by one receiver, and each receiver
may know some messages a priori. This type of index-coding problems can be
fully described by directed graphs. The aim is to find the minimum codelength
that the sender needs to transmit in order to simultaneously satisfy all
receivers' requests. For any directed graph, we show that if a maximum acyclic
induced subgraph (MAIS) is obtained by removing two or fewer vertices from the
graph, then the minimum codelength (i.e., the solution to the index-coding
problem) equals the number of vertices in the MAIS, and linear codes are
optimal for this index-coding problem. Our result increases the set of
index-coding problems for which linear index codes are proven to be optimal.


title: The McGill Magnetar Catalog

abstract:
  We present a catalog of the 26 currently known magnetars and magnetar
candidates. We tabulate astrometric and timing data for all catalog sources, as
well as their observed radiative properties, particularly the spectral
parameters of the quiescent X-ray emission. We show histograms of the spatial
and timing properties of the magnetars, comparing them with the known pulsar
population, and we investigate and plot possible correlations between their
timing, X-ray, and multiwavelength properties. We find the scale height of
magnetars to be in the range 20-31 pc, assuming they are exponentially
distributed. This range is smaller than that measured for OB stars, providing
evidence that magnetars are born from the most massive O stars. From the same
fits, we find that the Sun lies ~13-22 pc above the Galactic plane, consistent
with previous measurements. We confirm previously identified correlations
between quiescent X-ray luminosity L_X and magnetic field B, as well as X-ray
spectral power-law index Gamma and B, and show evidence for an excluded region
in a plot of L_X vs. Gamma. We also present an updated kT versus characteristic
age plot, showing magnetars and high-B radio pulsars are hotter than lower-B
neutron stars of similar age. Finally, we observe a striking difference between
magnetars detected in the the hard X-ray and radio bands; there is a clear
correlation between the hard and soft X-ray flux, whereas the radio-detected
magnetars all have low soft X-ray flux suggesting, if anything, that the two
bands are anti-correlated.
  An online version of the catalog is located at
http://www.physics.mcgill.ca/~pulsar/magnetar/main.html


title: Exploiting Similarities among Languages for Machine Translation

abstract:
  Dictionaries and phrase tables are the basis of modern statistical machine
translation systems. This paper develops a method that can automate the process
of generating and extending dictionaries and phrase tables. Our method can
translate missing word and phrase entries by learning language structures based
on large monolingual data and mapping between languages from small bilingual
data. It uses distributed representation of words and learns a linear mapping
between vector spaces of languages. Despite its simplicity, our method is
surprisingly effective: we can achieve almost 90% precision@5 for translation
of words between English and Spanish. This method makes little assumption about
the languages, so it can be used to extend and refine dictionaries and
translation tables for any language pairs.


title:
Canonical formalism and quantization of a massless spinning bosonic
  particle in four dimensions

abstract:
  A twistor model of a free massless spinning particle in 4-dimensional
Minkowski space is studied in terms of spacetime and spinor variables. This
model is specified by a simple action, referred to here as the gauged Shirafuji
action, that consists of twistor variables and gauge fields on the
1-dimensional parameter space. We consider the canonical formalism of the model
by following the Dirac formulation for constrained Hamiltonian systems. In the
subsequent quantization procedure, we obtain a plane-wave solution with
momentum spinors. From this solution and coefficient functions, we construct
positive-frequency and negative-frequency spinor wave functions defined on
complexified Minkowski space. It is shown that the Fourier-Laplace transforms
of the coefficient functions lead to the spinor wave functions expressed as the
Penrose transforms of the corresponding holomorphic functions on twistor space.
We also consider the exponential generating function for the spinor wave
functions and derive a novel representation for each of the spinor wave
functions.


title: WISPers from the Dark Side: Radio Probes of Axions and Hidden Photons

abstract:
  Measurements in the radio regime embrace a number of effective approaches for
WISP searches, often covering unique or highly complementary ranges of the
parameter space compared to those explored in other research domains. These
measurements can be used to search for electromagnetic tracers of the hidden
photon and axion oscillations, extending down to ~10^-19 eV the range of the
hidden photon mass probed, and closing the last gaps in the strongly favoured
1-5 micro-eV range for axion dark matter. This provides a strong impetus for
several new initiatives in the field, including the WISP Dark Matter eXperiment
(WISPDMX) and novel conceptual approaches for broad-band WISP searches in the
0.1-1000 micro-eV range.

categories: physics.ins-det astro-ph.CO hep-ex hep-ph


title:
CP mixed property of the Higgs-like particle in the decay channel $h\to
  Z Z^*\to 4l$

abstract:
  Current experiments do not support, as ATLAS and CMS collaborations at the
Large Hadron Collider reported, that the Higgs-like resonance discovered in
July 2012 is a pure CP-odd state. We examine a general $hZZ$ vertex which
contains CP-even and CP-odd couplings, by studying the process $h\to ZZ^*\to
l_1^+l_1^-l_2^+l_2^-$ with $l_1,\, l_2= e$ or $\mu$, to explore the CP mixed
property of the Higgs-like particle. One momentum asymmetry and two angular
asymmetries have been analyzed in order to reveal the difference from different
CP-couplings. Our study shows that these asymmetries could be interesting
observables in the future precise experiments.


title: U(3)$\times$[U(1)]$^3$ Model and Visible Family Gauge Boson Effects

abstract:
  A U(3) family gauge boson model is investigated based on
U(3)$\times$[U(1)]$^3$ gauge symmetry. In this model, of nine U(3) family gauge
bosons $A_i^{\ j}$, those with $i=j$ are considerable heavy compared with those
with $i \neq j$, so that the model can be released from severe constraints due
to the observed $K^0$-$\bar{K}^0$ mixing, and so on. We speculate that the
lightest gauge boson is $A_2^{\ 3}$ and its mass is of $2 - 6$ TeV. Thereby,
visible effects of the family gauge bosons are discussed. Especially, an
observation of $\mu^- +N \rightarrow e^- + N$ versus no observation of $\mu
\rightarrow e +\gamma$ will be a promising test for the present scenario.


title: Hypernuclear matter in a complete SU(3) symmetry group

abstract:
  Using the well known quantum hadrodynamics (QHD), we study the effects of
meson-hyperon coupling constants on the onset of hyperons in dense nuclear
matter. We use the SU(3) symmetry group to fix all these coupling constants,
constrained to experimental nuclear matter results and astrophysical
observations. While the discovery of massive pulsars PSR J1614-2230 and PSR
J0348+0432 points towards a very stiff equation of state at very large
densities, results from heavy ion collisions point in opposite direction for
densities below five times the nuclear saturation density. We study some well
known parametrizations and see that most of them cannot satisfy both types of
constraints. Indeed, although in our model we can simulate a 2.25 $M_\odot$
hyperonic neutron star, the heavy ion collision constraints limits the maximum
mass around 2.06 $M_\odot$.


title: A remark on the $\mathfrak{M}_H(G)$-conjecture and Akashi series

abstract:
  In this article, we give a criterion for the dual Selmer group of an elliptic
curve which has either good ordinary reduction or multiplicative reduction at
every prime above $p$ to satisfy the $\M_H(G)$-conjecture. As a by-product of
our calculations, we are able to define the Akashi series of the dual Selmer
groups assuming the conjectures of Mazur and Schneider. Previously, the Akashi
series are defined under the stronger assumption that the dual Selmer group
satisfies the $\M_H(G)$-conjecture. We then establish a criterion for the
vanishing of the dual Selmer groups using the Akashi series. We will apply this
criterion to prove some results on the characteristic elements of the dual
Selmer groups. Our methods in this paper are inspired by the work of
Coates-Schneider-Sujatha and can be extended to the Greenberg Selmer groups
attached to other ordinary representations, for instance, those coming from an
$p$-ordinary modular form.


title: A discrete uniformization theorem for polyhedral surfaces

abstract:
  A discrete conformality for polyhedral metrics on surfaces is introduced in
this paper which generalizes earlier work on the subject. It is shown that each
polyhedral metric on a surface is discrete conformal to a constant curvature
polyhedral metric which is unique up to scaling. Furthermore, the constant
curvature metric can be found using a discrete Yamabe flow with surgery.


title:
Defective graphene as promising anode material for Na-ion battery and
  Ca-ion battery

abstract:
  We have investigated adsorption of Na and Ca on graphene with divacancy (DV)
and Stone-Wales (SW) defect. Our results show that adsorption is not possible
on pristine graphene. However, their adsorption on defective sheet is
energetically favorable. The enhanced adsorption can be attributed to the
increased charge transfer between adatoms and underlying defective sheet. With
the increase in defect density until certain possible limit, maximum percentage
of adsorption also increases giving higher battery capacity. For maximum
possible DV defect, we can achieve maximum capacity of 1459 mAh/g for Na-ion
batteries (NIBs) and 2900 mAh/g for Ca-ion batteries (CIBs). For graphene full
of SW defect, we find the maximum capacity of NIBs and CIBs is around 1071
mAh/g and 2142 mAh/g respectively. Our results will help create better anode
materials with much higher capacity and better cycling performance for NIBs and
CIBs.


title:
The number of product vectors and their partial conjugates in a pair of
  spaces

abstract:
  Let $D$ and $E$ be subspaces of the tensor product of the finite-dimensional
Hilbert spaces $\mathbb{C}^m \otimes \mathbb{C}^n$. We show that the number of
product vectors in $D$ with their partial conjugates in $E$ is uniformly
bounded depending only on $m$ and $n$ whenever it is finite. We also give an
upper bound in qubit-qunit case which we expect to be sharp.


title: Asymptotic eigenfunctions for Schr\"odinger operators on a vector bundle

abstract:
  In the limit $\hbar\to 0$, we analyze a class of Schr\"odinger operators
$H_\hbar = \hbar^2 L + \hbar W + V\cdot \mathrm{id}$ acting on sections of a
vector bundle $\mathcal{Eh}$ over a Riemannian manifold $M$ where $L$ is a
Laplace type operator, $W$ is an endomorphism field and the potential energy
$V$ has a non-degenerate minimum at some point $p\in M$. We construct
quasimodes of WKB-type near $p$ for eigenfunctions associated with the low
lying eigenvalues of $H_\hbar$. These are obtained from eigenfunctions of the
associated harmonic oscillator $H_{p, \hbar}$ at $p$, acting on smooth
functions on the tangent space.


title: Coexistence of two superconducting phases in Ca1-xLaxFe2As2

abstract:
  Single crystals of Ca1-xLaxFe2As2 for x ranging from 0 to 0.25 have been
grown and characterized by structural, transport and magnetic measurements.
Coexistence of two superconducting phases is observed, in which the low
superconducting transition temperature (Tc) phase has Tc ~ 20 K, and the high
Tc phase has Tc higher than 40 K. These data also delineate an x - T phase
diagram in which the single magnetic/structural phase transition in undoped
CaFe2As2 appears to split into two distinct phase transitions, both of which
are suppressed with increasing La substitution. Superconductivity emerges when
x is about 0.06 and coexists with the structural/magnetic transition until x is
~ 0.13. With increasing concentration of La, the structural/magnetic transition
is totally suppressed, and Tc reaches its maximum value of about 45 K for 0.15
< x < 0.19. A domelike superconducting region is not observed in the phase
diagram, however, because no obvious over-doping region can be found. Two
superconducting phases coexist in the x - T phase diagram of Ca1-xLaxFe2As2.
The formation of the two separate phases, as well as the origin of the high Tc
in Ca1-xLaxFe2As2 is studied and discussed in detail.


title: Magnetic Field Amplification and Blazar Flares

abstract:
  Recent multiwavelength observations of PKS 0208-512 by SMARTS, Fermi, and
Swift revealed that gamma-ray and optical light curves of this flat spectrum
radio quasars are highly correlated, but with an exception of one large optical
flare having no corresponding gamma-ray activity or even detection. On the
other hand, recent advances in SNRs observations and plasma simulations both
reveal that magnetic field downstream of astrophysical shocks can be largely
amplified beyond simple shock compression. These amplifications, along with
their associated particle acceleration, might contribute to blazar flares,
including the peculiar flare of PKS 0208-512. Using our time dependent
multizone blazar emission code, we evaluate several scenarios that may
represent such phenomena. This code combines Monte Carlo method that tracks the
radiative processes including inverse Compton scattering, and Fokker-Planck
equation that follows the cooling and acceleration of particles. It is a
comprehensive time dependent code that fully takes into account the light
travel time effects. In this study, both the changes of the magnetic field and
acceleration efficiency are explored as the cause of blazar flares. Under these
assumption, synchrotron self-Compton and external Compton scenarios produce
distinct features that favor the external Compton scenario. The optical flares
with/without gamma-ray counterparts can be explained by different allocations
of energy between the magnetization and particle acceleration, which in turn
can be affected by the relative orientation between the magnetic field and the
shock flow. We compare the details of the observations and simulation, and
highlight what implications this study has on our understanding of relativistic
jets.


abstract:
  We establish a generalization of Kitaev models based on unitary quantum
groupoids. In particular, when inputting a Kitaev-Kong quantum groupoid
$H_\mathcal{C}$, we show that the ground state manifold of the generalized
model is canonical isomorphic to that of the Levin-Wen model based on a unitary
fusion category $\mathcal{C}$. Therefore the generalized Kitaev models provide
realizations of the target space of the Turaev-Viro TQFT based on
$\mathcal{C}$.


title: Strong cohomological rigidity of quasitoric manifolds over the 3-cube

abstract:
  A quasitoric manifold is a smooth manifold with a locally standard torus
action for which the orbit space is identified with a simple polytope. For a
class of topological spaces, the class is called strongly cohomologically rigid
if any isomorphism of cohomology rings can be realized as a homeomorphism. This
paper shows the strong cohomological rigidity of the class of quasitoric
manifolds over $I^3$.


title: Generalized gamma approximation with rates for urns, walks and trees

abstract:
  We study a new class of time inhomogeneous P\'olya-type urn schemes and give
optimal rates of convergence for the distribution of the properly scaled number
of balls of a given color to nearly the full class of generalized gamma
distributions with integer parameters, a class which includes the Rayleigh,
half-normal and gamma distributions. Our main tool is Stein's method combined
with characterizing the generalized gamma limiting distributions as fixed
points of distributional transformations related to the equilibrium
distributional transformation from renewal theory. We identify special cases of
these urn models in recursive constructions of random walk paths and trees,
yielding rates of convergence for local time and height statistics of simple
random walk paths, as well as for the size of random subtrees of uniformly
random binary and plane trees.


title: The cogrowth series for $\mathrm{BS}(N,N)$ is D-finite

abstract:
  We compute the cogrowth series for Baumslag-Solitar groups $\mathrm{BS}(N,N)
= < a,b | a^N b = b a^N > $, which we show to be D-finite. It follows that
their cogrowth rates are algebraic numbers.


title: The invariants of the electromagnetic field

abstract:
  We present a constructive proof that all gauge invariant Lorentz scalars in
Electrodynamics can be expressed as a function of the quadratic ones.


title: Equal Entries in Totally Positive Matrices

abstract:
  We show that the maximal number of equal entries in a totally positive (resp.
totally nonsingular) $n\textrm{-by-}n$ matrix is $\Theta(n^{4/3})$ (resp.
$\Theta(n^{3/2}$)). Relationships with point-line incidences in the plane,
Bruhat order of permutations, and $TP$ completability are also presented. We
also examine the number and positionings of equal $2\textrm{-by-}2$ minors in a
$2\textrm{-by-}n$ $TP$ matrix, and give a relationship between the location of
equal $2\textrm{-by-}2$ minors and outerplanar graphs.


title: Meson Spectra and Thermodynamics in Soft-Wall AdS/QCD

abstract:
  The AdS/CFT correspondence may offer new and useful insights into the non-
perturbative regime of strongly coupled gauge theories such as Quantum
Chromodynamics. Soft-wall AdS/QCD models have reproduced the linear
trajectories of meson spectra by including background dilaton and chiral
condensate fields. Efforts to derive these background fields from a scalar
potential have so far been unsuccessful in satisfying the UV boundary
conditions set by the AdS/CFT dictionary while reproducing the IR behavior
needed to obtain the correct chiral symmetry breaking and meson spectra.
  We present a three-field scalar parametrization that includes the dilaton
field and the chiral and glueball condensates. This model is consistent with
linear trajectories for the meson spectra and the correct mass-splitting
between the vector and axial-vector mesons. We also present the resulting meson
trajectories.


title:
Late time cosmic acceleration: ABCD of dark energy and modified theories
  of gravity

abstract:
  We briefly review the problems and prospects of the standard lore of dark
energy and notice that the cosmological constant problems are often over
emphasized. In order to keep the discussion pedagogical aimed at a wider
audience, we have avoided technical complications in several places and
resorted to heuristic arguments based on physical perceptions. We presented
underlying ideas of modified theories based upon chameleon mechanism and
Vainshtein screening. We have given a lucid illustration of recently
investigated ghost free non linear massive gravity. Again we have sacrificed
rigor and confined to the basic ideas that led to the formulation of $dRGT$.
The review ends with a brief discussion on the difficulties of the theory
applied to cosmology with an optimism that a consistent solution of the problem
is round the corner.


title: Brownian motion with multiplicative noises revisited

abstract:
  The Langevin equation with multiplicative noise and state-dependent transport
coefficient has to be always complemented with the proper interpretation rule
of the noise, such as the Ito and Stratonovich conventions. Although the
mathematical relationship between the different rules and how to translate from
one rule to another are well-established, it still remains controversial what
is a more {\it physically} natural rule. In this communication, we derive the
overdamped Langevin equation with multiplicative noise for Brownian particles,
by systematically eliminating the fast degrees of freedom of the underdamped
Langevin equation. The Langevin equations obtained here vary depending on the
choice of the noise conventions but they are different representations for an
identical phenomenon. The results apply to multi-variable, nonequilibrium,
non-stationary systems, and other general settings.


title:
Renormalization in QED and QFT with a Lorentz- and CPT-violating
  backgrounds

abstract:
  The general features of renormalization and the renormalization group in QED
and in general quantum field theories in curved spacetime with additional
Lorentz- and CPT-violating background fields are reviewed.


title:
Higher twist contribution to fragmentation function in inclusive hadron
  production in e^+e^- annihilation

abstract:
  We apply collinear expansion to inclusive hadron production in $e^+e^-$
annihilation and derive a formalism suitable for systematic study of leading as
well as higher twist contributions to fragmentation functions at the tree
level. We make the calculations for hadrons with spin-0, spin-1/2 as well as
spin-1 and obtain the results in terms of different components of fragmentation
functions for the hadronic tensors, the differential cross section as well as
hadron polarizations in different cases. The results show a number of
interesting features such as the existence of transverse polarization for
spin-1/2 hadrons at the twist-3 level, the quark polarization independence of
the spin alignment of vector mesons.


title: New lower bounds for the topological complexity of aspherical spaces

abstract:
  We show that the topological complexity of an aspherical space $X$ is bounded
below by the cohomological dimension of the direct product $A\times B$,
whenever $A$ and $B$ are subgroups of $\pi_1(X)$ whose conjugates intersect
trivially. For instance, this assumption is satisfied whenever $A$ and $B$ are
complementary subgroups of $\pi_1(X)$. This gives computable lower bounds for
the topological complexity of many groups of interest (including semidirect
products, pure braid groups, certain link groups, and Higman's acyclic
four-generator group), which in some cases improve upon the standard lower
bounds in terms of zero-divisors cup-length. Our results illustrate an intimate
relationship between the topological complexity of an aspherical space and the
subgroup structure of its fundamental group.


title:
Sparse Linear Models and Two-Stage Estimation in High-Dimensional
  Settings with Possibly Many Endogenous Regressors

abstract:
  This paper explores the validity of the two-stage estimation procedure for
sparse linear models in high-dimensional settings with possibly many endogenous
regressors. In particular, the number of endogenous regressors in the main
equation and the instruments in the first-stage equations can grow with and
exceed the sample size n. The analysis concerns the exact sparsity case, i.e.,
the maximum number of non-zero components in the vectors of parameters in the
first-stage equations, k1, and the number of non-zero components in the vector
of parameters in the second-stage equation, k2, are allowed to grow with n but
slowly compared to n. I consider the high-dimensional version of the two-stage
least square estimator where one obtains the fitted regressors from the
first-stage regression by a least square estimator with l_1-regularization (the
Lasso or Dantzig selector) when the first-stage regression concerns a large
number of instruments relative to n, and then construct a similar estimator
using these fitted regressors in the second-stage regression. The main
theoretical results of this paper are non-asymptotic bounds from which I
establish sufficient scaling conditions on the sample size for estimation
consistency in l_2-norm and variable-selection consistency. A technical issue
regarding the so-called "restricted eigenvalue (RE) condition" for estimation
consistency and the "mutual incoherence (MI) condition" for selection
consistency arises in the two-stage estimation from allowing the number of
regressors in the main equation to exceed n and this paper provides analysis to
verify these RE and MI conditions. Depending on the underlying assumptions, the
upper bounds on the l_2-error and the sample size required to obtain these
consistency results differ by factors involving k1 and/or k2. Simulations are
conducted to gain insight on the finite sample performance.


title:
Semi-simplified modulo $p$ of semi-stable representations: an
  algorithmic approach

abstract:
  The aim of this paper is to present an algorithm the complexity of which is
polynomial to compute the semi-simplified modulo $p$ of a semi-stable
$\Q_p$-representation of the absolute Galois group of a $p$-adic field
(\emph{i.e.} a finite extension of $\Q_p$). In order to do so, we use
abundantly the $p$-adic Hodge theory and, in particular, the Breuil-Kisin
modules theory.


title:
Giant magnetoresistance in the junction of two ferromagnets on the
  surface of diffusive topological insulators

abstract:
  We reveal the giant magnetoresistance induced by the spin-polarized current
in the ferromagnet (F_1)/topological insulator (TI)/ferromagnet (F_2) junction,
where two ferromagnets are deposited on the diffusive surface of the TI. We can
increase and reduce the value of the giant magnetoresistance by tuning the
spin-polarized current, which is controlled by the magnetization
configurations. The property is intuitively understood by the non-equilibrium
spin-polarized current, which plays the role of an effective electrochemical
potential on the surface of the TI.


title:
Existence of the maximizing pair for the discrete
  Hardy-Littlewood-Sobolev inequality

abstract:
  In this paper, we study the best constant of the following discrete
Hardy-Littlewood-Sobolev inequality, \begin{equation} \sum_{i,j,i\neq
j}\frac{f_{i}g_{j}}{\mid i-j\mid^{n-\alpha}}\leq C_{r,s,\alpha} |f|_{l^r}
|g|_{l^s}, \end{equation}where $i,j\in \mathbb Z^n$, $r,s>1$, $0<\alpha<n$, and
$\frac 1r+\frac 1s+\frac {n-\alpha}n\geq 2$. Indeed, we can prove that the best
constant is attainable in the supercritical case $\frac 1r+\frac 1s+\frac
{n-\alpha}n> 2$.


title:
Universality of dispersive spin-resonance mode in superconducting
  BaFe2As2

abstract:
  Spin fluctuations in superconducting BaFe2(As1-xPx)2 (x=0.34, Tc = 29.5 K)
are studied using inelastic neutron scattering. Well-defined commensurate
magnetic signals are observed at ({\pi},0), which is consistent with the
nesting vector of the Fermi surface. Antiferromagnetic (AFM) spin fluctuations
in the normal state exhibit a three-dimensional character reminiscent of the
AFM order in nondoped BaFe2As2. A clear spin gap is observed in the
superconducting phase forming a peak whose energy is significantly dispersed
along the c-axis. The bandwidth of dispersion becomes larger with approaching
the AFM ordered phase universally in all superconducting BaFe2As2, indicating
that the dispersive feature is attributed to three-dimensional AFM
correlations. The results suggest a strong relationship between the magnetism
and superconductivity.


title: Polyakov loops and the Hosotani mechanism on the lattice

abstract:
  We explore the phase structure and symmetry breaking in four-dimensional
SU(3) gauge theory with one spatial compact dimension on the lattice ($16^3
\times 4$ lattice) in the presence of fermions in the adjoint representation
with periodic boundary conditions. We estimate numerically the density plots of
the Polyakov loop eigenvalues phases, which reflect the location of minima of
the effective potential in the Hosotani mechanism. We find strong indication
that the four phases found on the lattice correspond to SU(3)-confined,
SU(3)-deconfined, SU(2) x U(1), and U(1) x U(1) phases predicted by the
one-loop perturbative calculation. The case with fermions in the fundamental
representation with general boundary conditions, equivalent to the case of
imaginary chemical potentials, is also found to support the $Z_3$ symmetry
breaking in the effective potential analysis.


title: Variational inference for count response semiparametric regression

abstract:
  Fast variational approximate algorithms are developed for Bayesian
semiparametric regression when the response variable is a count, i.e. a
non-negative integer. We treat both the Poisson and Negative Binomial families
as models for the response variable. Our approach utilizes recently developed
methodology known as non-conjugate variational message passing. For
concreteness, we focus on generalized additive mixed models, although our
variational approximation approach extends to a wide class of semiparametric
regression models such as those containing interactions and elaborate random
effect structure.


title: The many faces of the Bohr atom

abstract:
  The atomic model that Niels Bohr suggested in 1913 celebrated its greatest
victories in connection with one-electron atoms. Among them were the isotopic
spectral effect and what became known as Rydberg atoms, insights that were
fully recognized only many years later. He considered the original ring model a
first step towards an understanding of atomic structure, and during the
following years he developed it into more ambitious models that, he hoped,
would also describe many-electron atoms. His theory of the periodic system
marked the culmination of the orbital atom within the framework of the old
quantum theory. However, the theory would soon be replaced by more symbolic
models that heralded the coming of the quantum-mechanical atom.


title: Threshold of primordial black hole formation

abstract:
  Based on a physical argument, we derive a new analytic formula for the
amplitude of density perturbation at the threshold of primordial black hole
formation in the universe dominated by a perfect fluid with the equation of
state $p=w\rho c^{2}$ for $w\ge 0$. The formula gives $\delta^{\rm UH}_{H
c}=\sin^{2}[\pi \sqrt{w}/(1+3w)]$ and
$\tilde{\delta}_{c}=[3(1+w)/(5+3w)]\sin^{2}[\pi\sqrt{w}/(1+3w)]$, where
$\delta^{\rm UH}_{H c}$ and $\tilde{\delta}_{c}$ are the amplitude of the
density perturbation at the horizon crossing time in the uniform Hubble slice
and the amplitude measure used in numerical simulations, respectively, while
the conventional one gives $\delta^{\rm UH}_{H c}=w$ and
$\tilde{\delta}_{c}=3w(1+w)/(5+3w)$. Our formula shows a much better agreement
with the result of recent numerical simulations both qualitatively and
quantitatively than the conventional formula. For a radiation fluid, our
formula gives $\delta^{\rm UH}_{H c}=\sin^{2}(\sqrt{3}\pi/6)\simeq 0.6203$ and
$\tilde{\delta}_{c}=(2/3)\sin^{2}(\sqrt{3}\pi/6)\simeq 0.4135$. We also discuss
the maximum amplitude and the cosmological implications of the present result.


title:
Influence of Humidity, Temperature and Radicals on the Formation and
  Thermal Properties of Secondary Organic Aerosol (SOA) from Ozonolysis of
  {\beta}-pinene

abstract:
  The influence of water and radicals on SOAs produced by {\beta}-pinene
ozonolysis was investigated at 298 and 288 K using a laminar flow reactor. A
volatility tandem differential mobility analyzer (VTDMA) was used to measure
the evaporation of the SOA, enabling the parameterization of its volatility
properties. The parameters extracted included the temperature at which 50% of
the aerosol had evaporated (TVFR0.5) and the slope factor (SVFR). An increase
in SVFR indicates a broader distribution of vapor pressures for the aerosol
constituents. Reducing the reaction temperature increased SVFR and decreased
TVFR0.5 under humid conditions but had less effect on TVFR0.5 under dry
conditions. In general, higher water concentrations gave lower TVFR0.5 values,
more negative SVFR values, and a reduction in total SOA production. The radical
conditions were changed by introducing OH scavengers to generate systems with
and without OH radicals and with different [HO2]/[RO2] ratios. Presence of a
scavenger and lower [HO2]/[RO2] ratio reduced SOA production. Observed changes
in SVFR values could be linked to the more complex chemistry that occurs in the
absence of a scavenger, and indicated that additional HO2 chemistry gives
products with a wider range of vapor pressures. Updates to existing ozonolysis
mechanisms with routes that describe the observed responses to water and
radical conditions for monoterpenes with endocyclic and exocyclic double bonds
are discussed.


title:
An efficient algorithm for weighted sum-rate maximization in multicell
  downlink beamforming

abstract:
  This paper considers coordinated linear precoding for rate optimization in
downlink multicell, multiuser orthogonal frequency- division multiple access
networks. We focus on two different design criteria. In the first, the weighted
sum-rate is maximized under transmit power constraints per base station. In the
second, we minimize the total transmit power satisfying the
signal-to-interference-plus-noise-ratio constraints of the subcarriers per
cell. Both problems are solved using standard conic optimization packages. A
less complex, fast, and provably convergent algorithm that maximizes the
weighted sum-rate with per-cell transmit power constraints is formulated. We
approximate the nonconvex weighted sum- rate maximization (WSRM) problem with a
solvable convex form by means of a sequential parametric convex approximation
approach. The second- order cone formulations of an objective function and the
constraints of the optimization problem are derived through a proper change of
variables, first-order linear approximation, and hyperbolic constraints
transformation. This algorithm converges to the suboptimal solution while
taking fewer it- erations in comparison to other known iterative WSRM
algorithms. Numerical results are presented to demonstrate the effectiveness
and superiority of the proposed algorithm.


title:
$C^{1, 1}$ Solution of the Dirichlet Problem for Degenerate $k$-Hessian
  Equations

abstract:
  In this paper, we prove the existence of $C^{1,1}$-solution to the Dirichlet
problem for degenerate elliptic $k$-Hessian equations $S_{k}[u]=f$ under a
condition which is weaker than the condition $f^{1/k}\in C^{1,1}(\bar\Omega)$.


title: Theory of Electrical Spin Manipulation in Spin-Orbit Coupling Systems

abstract:
  By associating a spin-orbit interaction with a non-Abelian gauge potential,
we theoretically present a spin polarization in a quite general form using an
effective Yang-Mills field and a usual electromagnetic field. In this gauge
invariant result, we focus on a purely electrically-induced spin contribution.
We find that both the inverse spin galvanic effect and the spin Hall effect
arise from the same origin, i.e., the SU(2)$\times$U(1) Hall effect. We also
discover that a large effective magnetic field of the order of 1T is induced in
the Rashba system.


title: Quantum transport in three-dimensional Weyl electron system

abstract:
  Quantum transport in three-dimensional massless Dirac electron system with
long-range Gaussian impurities is studied theoretically using a self-consistent
Born approximation (SCBA). We find that the conductivity significantly changes
the behavior at a certain scattering strength which separates the weak and
strong disorder regimes. In the weak disorder regime, the SCBA conductivity
mostly agrees with the Boltzmann conductivity, while the agreement fails near
the Dirac point where the SCBA conductivity drops to zero linearly to the Fermi
energy. In the strong disorder regime, the conductivity is smooth and finite
near the Dirac point, and the minimum conductivity becomes larger in increasing
the disorder potential, contrary to the usual metallic behavior. The theory
applies to three dimensional gapless band structures, including Weyl
semimetals.


title: The Effect of Slope in the Casimir Rack Gear

abstract:
  The effect of slope for the rack gear in the massless scalar field model is
considered. It appears, that the slope of profile surfaces can essentially
change the value of normal Casimir force, whereas average value of tangential
force remains almost unchanged. At the same time we observe essential shift of
maximum and minimum tangential force positions.


title: Piezomagnetism of FeSe single crystals

abstract:
  The acoustic-electric transformation in high-quality FeSe single crystals is
studied. In zero magnetic field we observe an abnormally strong electromagnetic
radiation induced by a transverse elastic wave. Usually a radiation of such
intensity and polarization is observed only in metals subjected to a high
magnetic field (the radiation is caused by the Hall current). We argue that in
FeSe in zero magnetic field it is caused by the piezomagnetic effect which is
most probably of dynamical origin. We find that the piezomagnetism survives
under the transition from the normal to superconducting state. In the
superconducting state the electromagnetic signal decreases with decreasing
temperature that is connected with the change in the London penetration depth.


title: Comment on "Quantum Szilard Engine"

abstract:
  In a recently published letter [S. W. Kim, T. Sagawa, S. DeLiberato, and M.
Ueda, PRL 106, 070401 (2011)] the influence of particle statistics on
extractable work in the Szilard engine was discussed. We point out that the
expressions given there suggest no work extraction is possible in the low
temperature limit if more than two particles are used and thus are not optimal.
We argue that the optimal extractable work is in general higher and in
particular non-decreasing in the number of particles.


title:
16th International Conference in Quantum ChromoDynamics: Charmonium-like
  states at BaBar

abstract:
  We present new results on charmonium-like states from the BaBar experiment
located at the PEP-II asymmetric energy $e^+e^-$ collider at the SLAC National
Accelerator Laboratory.


title:
On the growth of logarithmic difference of meromorphic functions and a
  Wiman-Valiron estimate

abstract:
  The paper gives a precise asymptotic relation between higher order
logarithmic difference and logarithmic derivatives for meromorphic functions
with order strictly less then one. This allows us to formulate a useful
Wiman-Valiron type estimate for logarithmic difference of meromorphic functions
of small order. We then apply this estimate to prove a classical analogue of
Valiron about entire solutions to linear differential equations with
polynomials coefficients for linear difference equations.


title:
Optimized Herschel/PACS photometer observing and data reduction
  strategies for moving solar system targets

abstract:
  The "TNOs are Cool!: A survey of the trans-Neptunian region" is a Herschel
Open Time Key Program that aims to characterize planetary bodies at the
outskirts of the Solar System using PACS and SPIRE data, mostly taken as
scan-maps. In this paper we summarize our PACS data reduction scheme that uses
a modified version of the standard pipeline for basic data reduction, optimized
for faint, moving targets. Due to the low flux density of our targets the
observations are confusion noise limited or at least often affected by bright
nearby background sources at 100 and 160\,$\mu$m. To overcome these problems we
developed techniques to characterize and eliminate the background at the
positions of our targets and a background matching technique to compensate for
pointing errors. We derive a variety of maps as science data products that are
used depending on the source flux and background levels and the scientific
purpose. Our techniques are also applicable to a wealth of other Herschel solar
system photometric observations, e.g. comets and near-Earth asteroids. The
principles of our observing strategies and reduction techniques for moving
targets will also be applicable for similar surveys of future infrared space
projects.


title: Paracontact metric structures on the unit tangent sphere bundle

abstract:
  Starting from $g$-natural pseudo-Riemannian metrics of suitable signature on
the unit tangent sphere bundle $T_1 M$ of a Riemannian manifold
$(M,\langle,\rangle)$, we construct a family of paracontact metric structures.
We prove that this class of paracontact metric structures is invariant under
$\mathcal D$-homothetic deformations, and classify paraSasakian and paracontact
$(\kappa,\mu)$-spaces inside this class. We also present a way to build
paracontact $(\kappa,\mu)$-spaces from corresponding contact metric structures
on $T_1 M$.


title: Lattice and polarizability mediated spin activity in EuTiO_3

abstract:
  EuTiO_3 is shown to exhibit novel strong spin-charge-lattice coupling deep in
the paramagnetic phase. Its existence is evidenced by an, until now, unknown
response of the paramagnetic susceptibility at temperatures exceeding the
structural phase transition temperature T_S = 282K. The "extra" features in the
susceptibility follow the rotational soft zone boundary mode temperature
dependence above and below T_S. The theoretical modeling consistently
reproduces this behavior and provides reasoning for the stabilization of the
soft optic mode other than quantum fluctuations.


title:
Structural and Electronic Properties of Hybrid Perovskites for
  High-Efficiency Thin-Film Photovoltaics from First-Principles

abstract:
  The performance of perovskite solar cells recently exceeded 15%
solar-to-electricity conversion efficiency for small-area devices. The
fundamental properties of the active absorber layers, hybrid organic-inorganic
perovskites formed from mixing metal and organic halides [\textit{e.g.}
(NH$_4$)PbI$_3$ and (CH$_3$NH$_3$)PbI$_3$], are largely unknown. The materials
are semiconductors with direct band gaps at the boundary of the first Brillouin
zone. The calculated dielectric response and band gaps show an orientation
dependence, with a low barrier for rotation of the organic cations. Due to the
electric dipole of the methylammonium cation, a photoferroic effect may be
accessible, which could enhance carrier collection.


title:
Bichromatic dressing of a quantum dot detected by a remote second
  quantum dot

abstract:
  We demonstrate an information transfer mechanism between two dissimilar
remote InAs/GaAs quantum dots weakly coupled to a common photonic crystal
microcavity. Bichromatic excitation in the s-state of one of the dots leads to
the formation of dressed states due to the coherent coupling to the laser
field, in resonance with the quantum dot. Information on the resulting dressed
structure is read out through the photo-luminescence spectrum of the other
quantum dot, as well as the cavity mode. The effect is also observed upon
exchange of the excitation and detection quantum dots. This quantum dot
inter-talk is interpreted in terms of a cavity-mediated coupling involving
acoustic phonons. A master equation for a three level system coherently pumped
by the two lasers quantitatively describes the behavior of our system. Our
results present an important step towards scalable solid-state quantum
networking based on coupled multi-quantum-dot-cavity systems, without the need
of using identical quantum emitters.


title: CKM matrix and flavor symmetries

abstract:
  Following the way proposed recently by Hernandez and Smirnov, we seek
possible residual symmetries in the quark sector with a focus on the von Dyck
groups. We begin with two extreme cases in which both $\theta_{13}$ and
$\theta_{23}$ or only $\theta_{13}$ are set to zero. Then, cases where all the
Cabibbo-Kobayashi-Maskawa parameters are allowed to take nonzero values are
explored. The $Z_7$ symmetry is favorable to realize only the Cabibbo angle. On
the other hand, larger groups are necessary in order to be consistent with all
the mixing parameters. Possibilities of embedding the obtained residual
symmetries into the $\Delta(6N^2)$ series are also briefly discussed.


title: Computer simulations of ionic liquids at electrochemical interfaces

abstract:
  Ionic liquids are widely used as electrolytes in electrochemical devices. In
this context, many experimental and theoretical approaches have been recently
developed for characterizing their interface with electrodes. In this
perspective article, we review the most recent advances in the field of
computer simulations (mainly molecular dynamics). A methodology for simulating
electrodes at constant electrical potential is presented. Several types of
electrode geometries have been investigated by many groups in order to model
planar, corrugated and porous materials and we summarize the results obtained
in terms of the structure of the liquids. This structure governs the quantity
of charge which can be stored at the surface of the electrode for a given
applied potential, which is the relevant quantity for the highly topical use of
ionic liquids in supercapacitors (also known as electrochemical double-layer
capacitors). A key feature, which was also shown by atomic force microscopy and
surface force apparatus experiments, is the formation of a layered structure
for all ionic liquids at the surface of planar electrodes. This organization
cannot take place inside nanoporous electrodes, which results in a much better
performance for the latter in supercapacitors. The agreement between
simulations and electrochemical experiments remains qualitative only though,
and we outline future directions which should enhance the predictive power of
computer simulations. In the longer term, atomistic simulations will also be
applied to the case of electron transfer reactions at the interface, enabling
the application to a broader area of problems in electrochemistry, and the few
recent works in this field are also commented upon.


title: Charged Lepton Corrections to Scaling Neutrino Mixing

abstract:
  Assuming Majorana nature of neutrinos, a general expression for the charged
lepton corrections to scaling neutrino mixing has been obtained in the context
of three flavor neutrino oscillations. Non-zero value of the reactor mixing
angle is nicely accommodated. It is noted that scaling in the effective
neutrino mass matrix is equivalent to the presence of two vanishing minors
corresponding to first row elements of the effective neutrino mass matrix. A
value of reactor mixing angle which is fairly close to the currently measured
best fit is predicted for charged lepton corrections of the order of the
Cabbibo angle. We, also, present symmetry realization of such texture
structures in the framework of type-I seesaw mechanism with non-diagonal
charged lepton mass matrix using discrete Abelian flavor symmetry.


title:
Additive maps preserving idempotency of products or Jordan products of
  operators

abstract:
  Let H and K be infinite dimensional Hilbert spaces, while B(H) and B(K)
denote the algebras of all linear bounded operators on H and K, respectively.
We characterize the forms of additive mappings from B(H) into B(K) that
preserve the nonzero idempotency of either Jordan products of operators or
usual products of operators in both directions.


title: Detecting quantum non-Gaussianity of noisy Schr\"odinger cat states

abstract:
  Highly quantum non-linear interactions between different bosonic modes lead
to the generation of quantum non-Gaussian states, i.e. states that cannot be
written as mixtures of Gaussian states. A paradigmatic example is given by
Schroedinger's cat states, that is coherent superpositions of coherent states
with opposite amplitude. We here consider a novel quantum non-Gaussianity
criterion recently proposed in the literature and prove its effectiveness on
Schroedinger cat states evolving in a lossy bosonic channel. We prove that
quantum non-Gaussianity can be effectively detected for high values of losses
and for large coherent amplitudes of the cat states.


title:
Heteroepitaxial Growth and Multiferroic Properties of Mn-doped BiFeO3
  films on SrTiO3 buffered III-V Semiconductor GaAs

abstract:
  Epitaxial Mn-doped BiFeO3 (MBFO) thin films were grown on GaAs (001)
substrate with SrTiO3 (STO) buffer layer by pulsed laser deposition. X-ray
diffraction results demonstrate that the films show pure (00l) orientation, and
MBFO(100)//STO(100), whereas STO (100)//GaAs (110). Piezoresponse force
microscopy images and polarization versus electric field loops indicate that
the MBFO films grown on GaAs have an effective ferroelectric switching. The
MBFO films exhibit good ferroelectric behavior (2Pr ~ 92 {\mu}C/cm2 and 2EC ~
372 kV/cm). Ferromagnetic property with saturated magnetization of 6.5 emu/cm3
and coercive field of about 123 Oe is also found in the heterostructure at room
temperature.


title:
Serendipitous detection of an overdensity of Herschel-SPIRE 250 micron
  sources south of MRC1138-26

abstract:
  We report the serendipitous detection of a significant overdensity of
Herschel-SPIRE 250 micron sources in the vicinity of MRC1138-26. We use an
adaptive kernel density estimate to quantify the significance, including a
comparison with other fields. The overdensity has a size of ~3.5-4' and stands
out at ~5sigma with respect to the background estimate. No features with
similar significance were found in four extragalactic control fields:
GOODS-North, Lockman, COSMOS and UDS. The chance of having a similar
overdensity in a field with the same number but randomly distributed sources is
less than 2%. The clump is also visible as a low surface brightness feature in
the Planck 857 GHz map. We detect 76 sources at 250 micron (with a
signal-to-noise ratio greater than 3), in a region of 4' radius; 43 of those
are above a flux density limit of 20 mJy. This is a factor of 3.6 in excess
over the average in the four control fields, considering only the sources above
20 mJy. We also find an excess in the number counts of sources with 250 micron
flux densities between 30 and 40 mJy, compared to deep extragalactic
blank-field number counts. Assuming a fixed dust temperature (30 K) and
emissivity (beta=1.5) a crude, blackbody-derived redshift distribution, zBB, of
the detected sources is significantly different from the distributions in the
control fields and exhibits a significant peak at zBB ~ 1.5, although the
actual peak redshift is highly degenerate with the temperature. We tentatively
suggest, based on zBB and the similar S250/S350 colours of the sources within
the peak, that a significant fraction of the sources in the clump may be at a
similar redshift. Since the overdensity lies ~7' south of the z=2.16 Spiderweb
protocluster MRC1138-26, an intriguing possibility (that is presently
unverifiable given the data in hand) is that it lies within the same
large-scale structure.(abridged)


title: Bad pixel modified interpolation for astronomical images

abstract:
  We present a new method of interpolation for the pixel brightness estimation
in astronomical images. Our new method is simple and easily implementable. We
show the comparison of this method with the widely used linear interpolation
and other interpolation algorithms using one thousand astronomical images
obtained from the Sloan Digital Sky Survey. The comparison shows that our
method improves bad pixels brightness estimation with four times lower mean
error than the presently most popular linear interpolation and has a better
performance than any other examined method. The presented idea is flexible and
can be also applied to presently used and future interpolation methods. The
proposed method is especially useful for large sky surveys image reduction but
can be also applied to single image correction.


title: A holonomy invariant anisotropic surface energy in a Riemannian manifold

abstract:
  In this paper, we investigate a holonomy invariant elliptic anisotropic
surface energy for hypersurfaces in a complete Riemannian manifold, where
"holonomy invariant" means that the elliptic parametric Lagrangian (i.e., a
Finsler metric) of the Riemannian manifold used to define the anisotropic
surface energy is constant along each holonomy subbundle of the tangent bundle
of the Riemannian manifold. First we obtain the first variational formula for
this anisotropic surface energy. Next we shall introduce the notions of an
anisotropic convex hypersurface, an anisotropic equifocal hypersurface and an
anisotropic isoparametric hypersurface for this anisotropic surface energy.
Also, we shall introduce the notion of an anisotropic tube for this anisotropic
surface energy. We prove that anisotropic tubes over a one-point set in a
symmetric space are anisotropic convex hypersurfaces and that anisotropic tubes
over a certain kind of reflective submanifold in a symmetric space are
anisotropic isoparametric and anisotropic equifocal hypersurfaces.


title: The number of Dedekind sums with equal fractional parts

abstract:
  In a previous it was shown that the Dedkind sums $12s(m,n)$ and $12s(x,n)$,
$1\le m,x\le n$, $(m,n)=(x,n)=1$, are equal mod $\Z$ if, and only if,
$(x-m)(xm-1)\equiv 0$ mod $n$. Here we determine the cardinality of numbers $x$
in the above range that satisfy this congruence for a given number $m$.


title: Are RRab stars fully radial?

abstract:
  Thanks to the space missions CoRoT and Kepler new oscillation frequencies
have been discovered in the Fourier spectra of Blazhko RR Lyrae stars. The
period doubling (PD) yields half-integer frequencies between the fundamental
mode and its harmonics. In many cases the first and/or second radial overtone
frequencies also appear temporally. Some stars show extra frequencies that were
identified as potential non-radial modes. We show here that all these
frequencies can be explained by pure radial pulsation as linear combinations of
the frequencies of radial fundamental and overtone modes.


title: Mixed order phase transition in a one dimensional model

abstract:
  We introduce and analyze an exactly soluble one-dimensional Ising model with
long range interactions which exhibits a mixed order transition (MOT), namely a
phase transition in which the order parameter is discontinuous as in first
order transitions while the correlation length diverges as in second order
transitions. Such transitions are known to appear in a diverse classes of
models which are seemingly unrelated. The model we present serves as a link
between two classes of models which exhibit MOT in one dimension, namely, spin
models with a coupling constant which decays as the inverse distance squared
and models of depinning transitions, thus making a step towards a unifying
framework.


title:
CO rotational line emission from a dense knot in Cas A Evidence for
  active post-reverse-shock chemistry

abstract:
  We report a Herschel detection of high-J rotational CO lines from a dense
knot in the supernova remnant Cas A. Based on a combined analysis of these
rotational lines, and previously observed ro-vibrational CO lines, we find the
gas to be warm (two components at 400 and 2000 K) and dense (1e6-7 cm-3), with
a CO column density of 5e17 cm-2. This, along with the broad line widths (400
kms-1), suggests that the CO emission originates in the post-shock region of
the reverse shock. As the passage of the reverse shock dissociates any existing
molecules, the CO has most likely reformed in the last few years, in the
post-shock gas. The CO cooling time is comparable to the CO formation time, so
possible heating sources (UV photons from the shock front, X-rays, electron
conduction) to maintain the large column density of warm CO are discussed.


title: Donaldson-Thomas theory for Calabi-Yau four-folds

abstract:
  Let $X$ be a complex four-dimensional compact Calabi-Yau manifold equipped
with a K\"ahler form $\omega$ and a holomorphic four-form $\Omega$. Under
certain assumptions, we define Donaldson-Thomas type deformation invariants by
studying the moduli space of the solutions of Donaldson-Thomas equations on the
given Calabi-Yau manifold. We also study sheaves counting on local Calabi-Yau
four-folds. We relate the sheaves countings over $K_{Y}$ with the
Donaldson-Thomas invariants for the associated compact three-fold $Y$. In some
very special cases, we prove the DT/GW correspondence for $X$. Finally, we
compute the Donaldson-Thomas invariants of certain Calabi-Yau four-folds when
the moduli spaces are smooth.


title: Spinning Higher Dimensional Einstein-Yang-Mills black holes

abstract:
  We construct a Kerr-Newman-like spacetimes starting from higher dimensional
(HD) Einstein-Yang-Mills black holes via complex transformations suggested by
Newman-Janis. The new metrics are HD generalization of Kerr-Newman spacetimes
which has a geometry precisely that of Kerr-Newman in 4D corresponding to
Yang-Mills (YM) gauge charge, but the sign of charge term gets flipped in the
HD spacetimes. It is interesting to note that gravitational contribution of YM
gauge charge, in HD, is indeed opposite (attractive rather than repulsive) that
of Maxwell charge. The effect of YM gauge charge on the structure and location
of static limit surface and apparent horizon is discussed. We find that static
limit surfaces become less prolate with increase in dimensions and are also
sensitive to YM gauge charge thereby affecting the shape of ergosphere. We also
analyze some thermodynamical properties of these BHs.


title: Tuning the Curie temperature of FeCo compounds by tetragonal distortion

abstract:
  Combining density-functional theory calculations with a classical Monte Carlo
method, we show that for B2-type FeCo compounds tetragonal distortion gives
rise to a strong reduction of the Curie temperature $T_{\mathrm{C}}$. The
$T_{\mathrm{C}}$ monotonically decreases from 1575 K (for $c/a=1$) to 940 K
(for $c/a=\sqrtwo$). We find that the nearest neighbor Fe-Co exchange
interaction is sufficient to explain the $c/a$ behavior of the
$T_{\mathrm{C}}$. Combination of high magnetocrystalline anisotropy energy with
a moderate $T_{\mathrm{C}}$ value suggests tetragonal FeCo grown on the Rh
substrate with $c/a=1.24$ to be a promising material for heat-assisted magnetic
recording applications.


title: Convergence of normal form transformations: The role of symmetries

abstract:
  We discuss the convergence problem for coordinate transformations which take
a given vector field into Poincar\'e-Dulac normal form. We show that the
presence of linear or nonlinear Lie point symmetries can guaranteee convergence
of these normalizing transformations, in a number of scenarios. As an
application, we consider a class of bifurcation problems.


title:
Three-Dimensional Smoothed Particle Hydrodynamics Simulation for Liquid
  Metal Solidification Process

abstract:
  The solidification behavior of liquid metal in a container under rapid
cooling process is one of the major concerns to be analyzed. In order to
analyze its fundamental behavior, a three- dimensional (3D) fluid dynamics
simulation was developed using a particle-based method, known as the smoothed
particle hydrodynamics (SPH) method. Governing equations that determine the
fluid motion and heat transfer involving phase change process are solved by
discretizing their gradient and Laplacian term with the moving particles and
calculating the interaction with its neighboring particles. The results
demonstrate that the SPH mehod can successfully reproduce the behavior and
defect prediction of liquid metal solidification process.


title:
The angular momentum controversy: What's it all about and does it
  matter?

abstract:
  The general question, crucial to an understanding of the internal structure
of the nucleon, of how to split the total angular momentum of a photon or gluon
into spin and orbital contributions is one of the most important and
interesting challenges faced by gauge theories like Quantum Electrodynamics and
Quantum Chromodynamics. This is particularly challenging since all QED
textbooks state that such an splitting cannot be done for a photon (and a
fortiori for a gluon) in a gauge-invariant way, yet experimentalists around the
world are engaged in measuring what they believe is the gluon spin! This
question has been a subject of intense debate and controversy, ever since, in
2008, it was claimed that such a gauge-invariant split was, in fact, possible.
We explain in what sense this claim is true and how it turns out that one of
the main problems is that such a decomposition is not unique and therefore
raises the question of what is the most natural or physical choice. The
essential requirement of measurability does not solve the ambiguities and leads
us to the conclusion that the choice of a particular decomposition is
essentially a matter of taste and convenience. In this review, we provide a
pedagogical introduction to the question of angular momentum decomposition in a
gauge theory, present the main relevant decompositions and discuss in detail
several aspects of the controversies regarding the question of gauge
invariance, frame dependence, uniqueness and measurability. We stress the
physical implications of the recent developments and collect into a separate
section all the sum rules and relations which we think experimentally relevant.
We hope that such a review will make the matter amenable to a broader community
and will help to clarify the present situation.


title:
Microlocal analysis of quasianalytic Gelfand-Shilov type
  ultradistributions

abstract:
  We introduce a global wave front set suitable for the analysis of tempered
ultradistributions of quasianalytic Gelfand-Shilov type. We study the
transformation properties of the wave front set and use them to give microlocal
existence results for pull-backs and products. We further study quasianalytic
microlocality for classes of localization and ultradifferential operators, and
prove microellipticity for differential operators with polynomial coefficients.


title:
Positivity properties of Jacobi-Stirling numbers and generalized
  Ramanujan polynomials

abstract:
  Generalizing recent results of Egge and Mongelli, we show that each diagonal
sequence of the Jacobi-Stirling numbers $\js(n,k;z)$ and $\JS(n,k;z)$ is a
P\'olya frequency sequence if and only if $z\in [-1, 1]$ and study the
$z$-total positivity properties of these numbers. Moreover, the polynomial
sequences $$\biggl\{\sum_{k=0}^n\JS(n,k;z)y^k\biggr\}_{n\geq 0}\quad \text{and}
\quad \biggl\{\sum_{k=0}^n\js(n,k;z)y^k\biggr\}_{n\geq 0}$$ are proved to be
strongly $\{z,y\}$-log-convex. In the same vein, we extend a recent result of
Chen et al. about the Ramanujan polynomials to Chapoton's generalized Ramanujan
polynomials. Finally, bridging the Ramanujan polynomials and a sequence arising
from the Lambert $W$ function, we obtain a neat proof of the unimodality of the
latter sequence, which was proved previously by Kalugin and Jeffrey.


title:
On The K-Ring of the Classifying Space of the Symmetric Group on Four
  Letters

abstract:
  We describe $K(BS_4)$ and make a connection of the order of the bundle
induced from the standart representation over the four dimensional skeleton of
$BS_4$ with the stable homotopy group $\pi_3^s=Z_{24}$ explaining the reasons
of this connection by pulling this bundle over lens spaces.


title: The geometry of Brauer graph algebras and cluster mutations

abstract:
  In this paper we establish a connection between ribbon graphs and Brauer
graphs. As a result, we show that a compact oriented surface with marked points
gives rise to a unique Brauer graph algebra up to derived equivalence. In the
case of a disc with marked points we show that a dual construction in terms of
dual graphs exists. The rotation of a diagonal in an m-angulation gives rise to
a Whitehead move in the dual graph, and we explicitly construct a tilting
complex on the related Brauer graph algebras reflecting this geometrical move.


title:
Pressure induced bcc to hcp transition in Fe: Magnetism-driven structure
  transformation

abstract:
  The pressure induced bcc to hcp transition in Fe has been investigated via
ab-initio electronic structure calculations. It is found by the disordered
local moment (DLM) calculations that the temperature induced spin fluctuations
result in the decrease of the energy of Burgers type lattice distortions and
softening of the transverse $N$-point $TA_1$ phonon mode with $[\bar{1}10]$
polarization. As a consequence, spin disorder in an system leads to the
increase of the amplitude of atomic displacements. On the other hand, the
exchange coupling parameters obtained in our calculations strongly decrease at
large amplitude of lattice distortions. This results in a mutual interrelation
of structural and magnetic degrees of freedom leading to the instability of the
bcc structure under pressure at finite temperature.


title:
Dissociation of C-10 Nuclei in a Track Nuclear Emulsion at an Energy of
  1.2 GeV per Nucleon

abstract:
  The charge topology in the fragmentation of $^{10}$C nuclei in a track
nuclear emulsion at an energy of 1.2 GeV per nucleon is studied. In the
coherent dissociation of $^{10}$C nuclei, about 82% of events are associated
with the channel $^{10}$C $\rightarrow$ 2$\alpha +$ 2\emph{p}. The angular
distributions and correlations of product fragments are presented for this
channel. It is found that among $^{10}$C $\rightarrow$ 2$\alpha +$ 2\emph{p}
events, about 30% are associated with the process in which dissociation through
the ground state of the unstable $^9$Be$_{g.s.}$ nucleus is followed by
$^8$Be$_{g.s.} +$ \emph{p} decays.


title:
Concepts of Stability in Discrete Optimization Involving Generalized
  Addition Operations

abstract:
  The paper addresses the tolerance approach to the sensitivity analysis of
optimal solutions to the nonlinear optimization problem of the form
  $$\mbox{$\bigoplus\limits_{y\in S}C(y)\to\min$\quad over\quad
$S\in\mathcal{S}$,}$$ where $\mathcal{S}$ is a collection of nonempty subsets
of a finite set $X$ such that the union of $\mathcal{S}$ is $X$ and the
intersection of $\mathcal{S}$ is empty, $C$ is a cost (or weight) function from
$X$ into $\mathbb{R}^+=[0,\infty)$ or $(0,\infty)$, and $\oplus$ is a
continuous, associative, commutative, nondecreasing and unbounded binary
operation of generalized addition on $\mathbb{R}^+$, called an A-operation. We
evaluate and present sharp estimates for upper and lower bounds of costs of
elements from $X$, for which an optimal solution to the above problem remains
stable. These bounds present new results in the sensitivity analysis as well as
extend most known results in a unified way. We define an invariant of the
optimization problem---the tolerance function, which is independent of optimal
solutions, and establish its basic properties, among which we mention a
characterization of the set of all optimal solutions, the uniqueness of optimal
solutions and extremal values of the tolerance function on an optimal solution.


title: Monomial bases for free pre-Lie algebras

abstract:
  In this paper, we study the concept of free pre-Lie algebra generated by a
(non-empty) set. We review the construction of A. Agrachev and R. Gamkrelidze
of monomial bases in free pre-Lie algebras. We describe the matrix of the
monomial basis vectors in terms of the rooted trees basis exhibited by F.
Chapoton and M. Livernet. We also show that this matrix is unipotent and we
find an explicit expression for its coefficients.


title:
Radion stability and induced, on-brane geometries in an effective
  scalar-tensor theory of gravity

abstract:
  About a decade ago, using a specific expansion scheme, effective, on-brane
scalar tensor theories of gravity were proposed by Kanno and Soda (Phys.Rev.
{\bf D 66} 083506 ,(2002)) in the context of the warped two brane model of
Randall--Sundrum. The inter-related effective theories on both the branes were
derived with the space-time dependent radion field playing a crucial role.
Taking a re-look at this effective theory, we find cosmological and spherically
symmetric, static solutions sourced by a radion--induced, effective stress
energy, as well as additional, on-brane matter. The distance between the branes
(governed by the time or space dependent radion) is shown to be stable and
asymptotically non-zero, thereby setting aside any possibility of brane
collisions. It turns out that the inclusion of on-brane matter plays a decisive
role in stabilising the radion - a fact which we demonstrate through our
solutions.


title:
An Extension of the Well-Posedness Concept for Fractional Differential
  Equations of Caputo's Type

abstract:
  It is well known that, under standard assumptions, initial value problems for
fractional ordinary differential equations involving Caputo-type derivatives
are well posed in the sense that a unique solution exists and that this
solution continuously depends on the given function, the initial value and the
order of the derivative. Here we extend this well-posedness concept to the
extent that we also allow the location of the starting point of the
differential operator to be changed, and we prove that the solution depends on
this parameter in a continuous way too if the usual assumptions are satisfied.
Similarly, the solution to the corresponding terminal value problems depends on
the location of the starting point and of the terminal point in a continuous
way too.


title:
Clonal selection and therapy resistance in acute leukemias: Mathematical
  modelling explains different proliferation patterns at diagnosis and relapse

abstract:
  Recent experimental evidence suggests that acute myeloid leukemias may
originate from multiple clones of malignant cells. Nevertheless it is not known
how the observed clones may differ with respect to cell properties such as
proliferation and self-renewal. There are scarcely any data on how these cell
properties change due to chemotherapy and relapse. We propose a new
mathematical model to investigate the impact of cell properties on multi-clonal
composition of leukemias. Model results imply that enhanced self-renewal may be
a key mechanism in the clonal selection process. Simulations suggest that fast
proliferating and highly self-renewing cells dominate at primary diagnosis
while relapse following therapy-induced remission is triggered mostly by highly
self-renewing but slowly proliferating cells. Comparison of simulation results
to patient data demonstrates that the proposed model is consistent with
clinically observed dynamics based on a clonal selection process.


title: BPS Maxwell-Chern-Simons-like vortices in a Lorentz-violating framework

abstract:
  We have analyzed Maxwell-Chern-Simons-Higgs BPS vortices in a
Lorentz-violating CPT-odd context. The Lorentz violation induces profiles with
a conical behavior at the origin. For some combination of the coefficients for
Lorentz violation there always exists a sufficiently large winding number for
which the magnetic field flips its sign.


title:
Optimizing the spin-pumping induced inverse spin Hall voltage by crystal
  growth in Fe/Pt bilayers

abstract:
  We examine the influence of crystal growth on the spin-pumping induced
inverse spin Hall effect in Fe/Pt bilayers. The morphology of the Fe/Pt
interface influences the effective spin mixing conductance. The increase of
growth temperature leads to smoother and larger grains at the interface that
enhance the effective spin mixing conductance. The spin current injection
efficiency into Pt, measured by the inverse spin Hall effect, is maximized by
optimizing the epitaxy of Pt on Fe. In magnetic field dependent measurements,
the presence of a strong magnetic anisotropy gives rise to two distinct inverse
spin Hall effect voltage peaks.