title:
Retrieval of Experiments with Sequential Dirichlet Process Mixtures in
  Model Space

abstract:
  We address the problem of retrieving relevant experiments given a query
experiment, motivated by the public databases of datasets in molecular biology
and other experimental sciences, and the need of scientists to relate to
earlier work on the level of actual measurement data. Since experiments are
inherently noisy and databases ever accumulating, we argue that a retrieval
engine should possess two particular characteristics. First, it should compare
models learnt from the experiments rather than the raw measurements themselves:
this allows incorporating experiment-specific prior knowledge to suppress noise
effects and focus on what is important. Second, it should be updated
sequentially from newly published experiments, without explicitly storing
either the measurements or the models, which is critical for saving storage
space and protecting data privacy: this promotes life long learning. We
formulate the retrieval as a ``supermodelling'' problem, of sequentially
learning a model of the set of posterior distributions, represented as sets of
MCMC samples, and suggest the use of Particle-Learning-based sequential
Dirichlet process mixture (DPM) for this purpose. The relevance measure for
retrieval is derived from the supermodel through the mixture representation. We
demonstrate the performance of the proposed retrieval method on simulated data
and molecular biological experiments.


title: Optical properties of the Bi+ center in KAlCl4

abstract:
  Temperature behavior of the Bi+ center emission, excitation bands and
luminescence decay law in KAlCl4 crystal are investigated. Abrupt changes of
the monocation optical properties are observed at phase transitions of the
host. The observed optical transitions are assigned to the specific energy
states of Bi+ ion. It is shown that two thermalized levels are responsible for
the luminescence. The experimental temperature behavior of the emission and
excitation bands are in agreement with theory of electron-phonon interaction of
impurity centers in solids; the effective-phonon frequencies and Huang-Rhys
parameters are estimated. The configuration coordinate diagram is determined
for the Bi+ center in KAlCl4 crystal.


title: BloSEn: Blog Search Engine Based On Post Concept Clustering

abstract:
  This paper focuses on building a blog search engine which doesn't focus only
on keyword search but includes extended search capabilities. It also
incorporates the blog-post concept clustering which is based on the category
extracted from the blog post semantic content analysis. The proposed approach
is titled as "BloSen (Blog Search Engine)". It involves in extracting the posts
from blogs and parsing them to extract the blog elements and store them as
fields in a document format. Inverted index is being built on the fields of the
documents. Search is induced on the index and requested query is processed
based on the documents so far made from blog posts. It currently focuses on
Blogger and Wordpress hosted blogs since both these hosting services are the
most popular ones in the blogosphere. The proposed BloSen model is experimented
with a prototype implementation and the results of the experiments with the
user's relevance cumulative metric value of 95.44% confirms the efficiency of
the proposed model.


title: Gauge theories with fermions in two-index representations

abstract:
  After some introductory comments on the peculiar features of slowly running
theories, I will report results obtained using the Schrodinger functional
technique for two gauge theories that are believed to lie near the bottom of
the conformal window: the SU(3) theory with two adjoint Dirac fermions, and the
SU(4) theory with six Dirac fermions in the two-index antisymmetric
representation. In both cases we find a small beta function in strong coupling,
but we cannot confirm or rule out an infrared fixed point. In both theories the
mass anomalous dimension levels off, staying well below 0.5, much like the
theories with fermions in the two-index symmetric representation investigated
earlier.


title:
IQRray, a new method for Affymetrix microarray quality control, and the
  homologous organ conservation score, a new benchmark method for quality
  control metrics

abstract:
  Motivation: Microarray results accumulated in public repositories are widely
re-used in meta-analytical studies and secondary databases. The quality of the
data obtained with this technology varies from experiment to experiment and
efficient method for quality assessment is neces-sary to ensure their
reliability. Results: The lack of a good benchmark has hampered evaluation of
existing methods for quality control. In this study we propose a new
inde-pendent quality metric that is based on evolutionary conservation of
expression profiles. We show, using 11 large organ-specific datasets, that
IQRray, a new quality metrics developed by us, exhibits the highest correlation
with this reference metric, among 14 metrics tested. IQRray outperforms other
methods in identification of poor quality arrays in dataset composed of arrays
from many independent experiments. In con-trast, the performance of methods
designed for detecting outliers in a single experiment like NUSE and RLE was
low because of the inability of these method to detect datasets containing only
low quality arrays, and the fact that the scores cannot be directly compared
between ex-periments. Availability: The R implementation of IQRray is available
at: ftp://lausanne.isb-sib.ch/pub/databases/Bgee/general/IQRray.R


title:
Ramanujan circulant graphs and the conjecture of Hardy-Littlewood and
  Bateman-Horn

abstract:
  In this paper, we determine the bound of the valency of the odd circulant
graph which guarantees to be a Ramanujan graph for each fixed number of
vertices. In almost of the cases, the bound coincides with the trivial bound,
which comes from the trivial estimate of the largest non-trivial eigenvalue of
the circulant graph. As exceptional cases, the bound in fact exceeds the
trivial one by two. We then prove that such exceptionals occur only in the
cases where the number of vertices has at most two prime factors and is
represented by a quadratic polynomial in a finite family and, moreover, under
the conjecture of Hardy-Littlewood and Bateman-Horn, exist infinitely many.


title: Mechanical Systems in the Generalized Lie Algebroids Framework

abstract:
  \emph{Mechanical systems} called by use, \emph{mechanical}$\left(\rho
,\eta\right) $\emph{-systems, Lagrange mechanical}$\left(\rho ,\eta \right)
$\emph{-systems} or \emph{Finsler mechanical}$\left(\rho ,\eta \right)
$\emph{-systems} are presented. The canonical $\left(\rho ,\eta \right)
$\emph{-}semi(spray) associated to a mechanical $\left(\rho ,\eta \right)
$-system is obtained. New and important results are obtained in the particular
case of Lie algebroids. The Lagrange mechanical $(\rho ,\eta)$% -systems are
the spaces necessary to develop a new Lagrangian formalism. We obtain the
$(\rho ,\eta)$-semispray associated to a regular Lagrangian $L$ and external
force $F_{e}$ and we derive the equations of Euler-Lagrange type. So, a new
solution for the Weinstein's Problem in the general framework of generalized
Lie algebroids is presented.


title:
Ultrafast and widely tuneable vertical-external-cavity surface-emitting
  laser, mode-locked by a graphene-integrated distributed Bragg reflector

abstract:
  We report a versatile and cost-effective way of controlling the unsaturated
loss, modulation depth and saturation fluence of graphene-based saturable
absorbers (GSAs), by changing the thickness of a spacer between SLG and a
high-reflection mirror. This allows us to modulate the electric field intensity
enhancement at the GSA from 0 up to 400%, due to the interference of incident
and reflected light at the mirror. The unsaturated loss of the
SLG-mirror-assembly can be reduced to$\sim$0. We use this to mode-lock a VECSEL
from 935 to 981nm. This approach can be applied to integrate SLG into various
optical components, such as output coupler mirrors, dispersive mirrors,
dielectric coatings on gain materials. Conversely, it can also be used to
increase absorption (up to 10%) in various graphene based photonics and
optoelectronics devices, such as photodetectors.


title:
Astrophysical false positives in exoplanet transit surveys: why do we
  need bright stars ?

abstract:
  Astrophysical false positives that mimic planetary transit are one of the
main limitation to exoplanet transit surveys. In this proceeding, we review the
issue of the false positive in transit survey and the possible complementary
observations to constrain their presence. We also review the false-positive
rate of both Kepler and CoRoT missions and present the basics of the
planet-validation technique. Finally, we discuss the interest of observing
bright stars, as PLATO 2.0 and TESS will do, in the context of the false
positives. According to simulations with the Besan\c{c}on galactic model, we
find that PLATO 2.0 is expected to have less background false positives than
Kepler, and thus an even lower false-positive rate.


title: Single-layer MoS2 mechanical resonators

abstract:
  Here, we demonstrate the fabrication of single-layer MoS2 mechanical
resonators. The fabricated resonators have fundamental resonance frequencies in
the order of 10 MHz to 30 MHz (depending on their geometry) and their quality
factor is about ~55 at room temperature in vacuum. The dynamical properties
clearly indicate that monolayer MoS2 membranes are in the membrane limit (i.e.,
tension dominated), in contrast to their thicker counterparts, which behave as
plates. We also demonstrate clear signatures of nonlinear behaviour of our
atomically thin membranes, thus providing a starting point for future
investigations on the nonlinear dynamics of monolayer nanomechanical
resonators.


title:
Estimation of Plasma Properties and Magnetic Field in a Prominence-like
  Structure as Observed by SDO/AIA

abstract:
  We analyze a prominence-like cool plasma structure as observed by Atmospheric
Imaging Assembly (AIA) onboard the Solar Dynamics Observatory (SDO). We perform
the Differential Emission Measure (DEM) analysis using various filters of AIA,
and also deduce the temperature and density structure in and around the
observed flux-tube. In addition to deducing plasma parameters, we also find an
evidence of multiple harmonics of fast magnetoacoustic kink waves in the
observed prominence-like magnetic structure. Making use of estimated plasma
parameters and observed wave parameters, under the baseline of MHD seismology,
we deduce magnetic field in the flux-tube. The wave period ratio P1/P2 = 2.18
is also observed in the flux-tube, which carries the signature of magnetic
field divergence where we estimate the tube expansion factor as 1.27. We
discuss constraints in the estimation of plasma and magnetic field properties
in such a structure in the current observational perspective, which may shed
new light on the localized plasma dynamics and heating scenario in the solar
atmosphere.


title: A Characterization of $\mathcal{M}_{A_1}(\mathbb{R}^n)$

abstract:
  We characterize the set of all measurable functions on $\RR^n$ possessing an
$A_1$ majorant, denoted as $\cM_{A_1}(\RR^n)$, by certain Banach function
spaces. We prove that a function has an $A_1$ majorant if and only if it
belongs to some Banach function space for which the Hardy-Littlewood maximal
operator is bounded. This answers the question posted by G. Knese, J.
M$^{c}$Carthy, and K. Moen.


title:
An \emph{ab initio} study on split silicon-vacancy defect in diamond:
  electronic structure and related properties

abstract:
  The split silicon-vacancy defect (SiV) in diamond is an electrically and
optically active color center. Recently, it has been shown that this color
center is bright and can be detected at the single defect level. In addition,
the SiV defect shows a non-zero electronic spin ground state that potentially
makes this defect an alternative candidate for quantum optics and metrology
applications beside the well-known nitrogen-vacancy color center in diamond.
However, the electronic structure of the defect, the nature of optical
excitations and other related properties are not well-understood. Here we
present advanced \emph{ab initio} study on SiV defect in diamond. We determine
the formation energies, charge transition levels and the nature of excitations
of the defect. Our study unravel the origin of the dark or shelving state for
the negatively charged SiV defect associated with the 1.68-eV photoluminescence
center.


title: On the irrationality exponent of the regular paperfolding numbers

abstract:
  In this paper, improving the method of Allouche \emph{et al.} \cite{APWW98},
we calculate the Hankel determinant of the regular paperfolding sequence, and
prove that the Hankel determinant sequence module 2 is periodic with period 10
which answers Coon's conjecture \cite{CV12}. Then we extend Bugeaud's method
\cite{Bugeaud11} to obatin the exact value of the irrationality exponent for
some general transcendental numbers. Using the results above, we prove that the
irrationality exponents of the regular paperfolding numbers are exactly 2.


title: Weighted local estimates for fractional type operators

abstract:
  In this note we prove the estimate $M^{\sharp}_{0,s}(Tf)(x) \le c\,M_\gamma
f(x)$ for general fractional type operators $T$, where $M^{\sharp}_{0,s}$ is
the local sharp maximal function and $M_\gamma$ the fractional maximal
function, as well as a local version of this estimate. This allows us to
express the local weighted control of $Tf$ by $M_\gamma f$. Similar estimates
hold for $T$ replaced by fractional type operators with kernels satisfying
H\"{o}rmander-type conditions or integral operators with homogeneous kernels,
and $M_\gamma $ replaced by an appropriate maximal function $M_T$.
  We also prove two-weight, $L^p_v$-$L^q_w$ estimates for the fractional type
operators described above for $1<p< q<\infty$ and a range of $q$. The local
nature of the estimates leads to results involving generalized Orlicz-Campanato
and Orlicz-Morrey spaces.


title:
Extending maps to profinite completions in finitely generated
  quasivarieties

abstract:
  We consider the problem of extending maps from algebras to their profinite
completions in finitely generated quasivarieties. Our developments are based on
the construction of the profinite completion of an algebra as its natural
extension. We provide an extension which is a multi-map and we study its
continuity properties, and the conditions under which it is a map.


title:
Analyticity for the (generalized) Navier-Stokes equations with rough
  initial data

abstract:
  We study the Cauchy problem for the (generalized) incompressible
Navier-Stokes equations \begin{align} u_t+(-\Delta)^{\alpha}u+u\cdot \nabla u
+\nabla p=0, \ \ {\rm div} u=0, \ \ u(0,x)= u_0. \nonumber \end{align} We show
the analyticity of the local solutions of the Navier-Stokes equation
($\alpha=1$) with any initial data in critical Besov spaces
$\dot{B}^{n/p-1}_{p,q}(\mathbb{R}^n)$ with $1< p<\infty, \ 1\le q\le \infty $
and the solution is global if $u_0$ is sufficiently small in
$\dot{B}^{n/p-1}_{p,q}(\mathbb{R}^n)$. In the case $p=\infty$, the analyticity
for the local solutions of the Navier-Stokes equation ($\alpha=1$) with any
initial data in modulation space $M^{-1}_{\infty,1}(\mathbb{R}^n)$ is obtained.
We prove the global well-posedness for a fractional Navier-stokes equation
($\alpha=1/2$) with small data in critical Besov spaces
$\dot{B}^{n/p}_{p,1}(\mathbb{R}^n) \ (1\leq p\leq\infty)$ and show the
analyticity of solutions with small initial data either in
$\dot{B}^{n/p}_{p,1}(\mathbb{R}^n) \ (1\leq p<\infty)$ or in
$\dot{B}^0_{\infty,1} (\mathbb{R}^n)\cap {M}^0_{\infty,1}(\mathbb{R}^n)$.
Similar results also hold for all $\alpha\in (1/2,1)$.


title: Cyclotomic quiver Hecke algebras of type A

abstract:
  This chapter is based on a series of lectures that I gave at the National
University of Singapore in April 2013. The notes survey the representation
theory of the cyclotomic Hecke algebras of type A with an emphasis on
understanding the KLR grading and the connections between the "classical"
ungraded representation theory and the rapidly emerging graded theory. They are
fairly self-contained and they try to give a leisurely introduction to these
algebras, with many examples and calculations that don't appear elsewhere. We
make extensive use of the interactions between the ungraded and graded
representation theory and try to explain what the grading gives us that we
didn't have before. Combinatorics and cellular algebra techniques are used
throughout, with a few results from geometry and 2-representation theory being
quoted from the literature. Highlights include a complete description of the
semisimple KLR algebras of type A using just the KLR relations, extensive
discussion about graded Specht modules, a proof of the Ariki-Brundan-Kleshchev
graded categorification theorem based on the graded branching rules, a cellular
algebra approach to adjustment matrices and a (possibly optimistic) conjecture
for the graded dimensions of the simple modules.


title: Computation of Summaries Using Net Unfoldings

abstract:
  We study the following summarization problem: given a parallel composition
A=A1||...||An of labelled transition systems communicating with the environment
through a distinguished component Ai, efficiently compute a summary Si such
that E||A and E||Si are trace-equivalent for every environment E. While Si can
be computed using elementary automata theory, the resulting algorithm suffers
from the state-explosion problem. We present a new, simple but subtle algorithm
based on net unfoldings, a partial-order semantics, give some experimental
results using an implementation on top of MOLE, and show that our algorithm can
handle divergences and compute weighted summaries with minor modifications.


title:
Constraining the Parameters of Modified Chaplygin Gas in Einstein-Aether
  Gravity

abstract:
  We have assumed FRW model of the universe in Einstein-Aether gravity filled
with dark matter and Modified Chaplygin gas (MCG) type dark energy. We present
the Hubble parameter in terms of some unknown parameters and observational
parameters with the redshift z. From observed Hubble data (OHD) set (12
points), we have obtained the bounds of the arbitrary parameters (A,B) of MCG
by minimizing the \chi^{2} test. Next due to joint analysis of BAO and CMB
observations, we have also obtained the best fit values and the bounds of the
parameters (A,B) by fixing some other parameters. We have also taken type Ia
supernovae data set (union 2 data set with 557 data points). Next due to joint
analysis with SNe, we have obtained the best fit values of parameters. The
best-fit values and bounds of the parameters are obtained by 66%, 90% and 99%
confidence levels for OHD, OHD+BAO, OHD+BAO+CMB and OHD+BAO+CMB+SNe joint
analysis. The distance modulus \mu(z) against redshift z for our theoretical
MCG model in Einstein-Aether gravity have been tested for the best fit values
of the parameters and the observed SNe Ia union2 data sample.


title:
Observation of B^0_(s) -> J/\psi f_1(1285) decays and measurement of the
  f_1(1285) mixing angle

abstract:
  Decays of Bs and B0 mesons into J/\psi \pi +\pi -\pi +\pi - final states,
produced in pp collisions at the LHC, are investigated using data corresponding
to an integrated luminosity of 3/fb collected with the LHCb detector. B^0_(s)
-> J\psi f_1(1285) decays are seen for the first time, and the branching
fractions are measured. Using these rates, the f_1(1285) mixing angle between
strange and non-strange components of its wave function in the q-qbar structure
model is determined to be \pm (24.0^{+3.1+0.6}_{-2.6-0.8}) degrees.
Implications on the possible tetraquark nature of the f_1(1285) are discussed.


title: Discovery of the Hot Big Bang: What happened in 1948

abstract:
  The idea that the universe is filled with the thermal radiation now termed
the Cosmic Microwave Background was first discussed in eleven publications in
the year 1948. These papers offer a detailed example of the process of
development of a new and now very productive line of research, and of the
confusion that can attend new ideas. The confusion in this case left a common
misunderstanding of the considerations that motivated the idea of the sea of
radiation.


title: New Analytical Solutions for Bosonic Field Trapping in Thick Branes

abstract:
  New analytical solutions for gravity, scalar and vector field localization in
Randall-Sundrum(RS) models are found. A smooth version of the warp factor with
an associated function $f(z)=\exp(3A(z)/2)$ inside the walls ($|z|<d$) is
defined, leading to an associated equation and physical constraints on the
continuity and smoothness of the background resulting in a new space of
analytical solutions. We solve this associated equation analytically for the
parabolic and P\"oschl-Teller potentials and analyze the spectrum of resonances
for these fields. By using the boundary conditions we are able to show that,
for any of these solutions, the density probability for finding a massive mode
in the membrane has a universal behavior for small values of mass given by
$|\psi_m(0)|^2=\beta_1m+\beta_3m^3+\beta_L m^3\log(m)+\cdots$. As a
consequence, the form of the leading order correction, for example, to the
Newton's law is general and does not depend on the potential used. At the end
we also discuss why complications arises when we try to use the method to find
analytical solutions to the fermion case.


title: C2MS: Dynamic Monitoring and Management of Cloud Infrastructures

abstract:
  Server clustering is a common design principle employed by many organisations
who require high availability, scalability and easier management of their
infrastructure. Servers are typically clustered according to the service they
provide whether it be the application(s) installed, the role of the server or
server accessibility for example. In order to optimize performance, manage load
and maintain availability, servers may migrate from one cluster group to
another making it difficult for server monitoring tools to continuously monitor
these dynamically changing groups. Server monitoring tools are usually
statically configured and with any change of group membership requires manual
reconfiguration; an unreasonable task to undertake on large-scale cloud
infrastructures.
  In this paper we present the Cloudlet Control and Management System (C2MS); a
system for monitoring and controlling dynamic groups of physical or virtual
servers within cloud infrastructures. The C2MS extends Ganglia - an open source
scalable system performance monitoring tool - by allowing system administrators
to define, monitor and modify server groups without the need for server
reconfiguration. In turn administrators can easily monitor group and individual
server metrics on large-scale dynamic cloud infrastructures where roles of
servers may change frequently. Furthermore, we complement group monitoring with
a control element allowing administrator-specified actions to be performed over
servers within service groups as well as introduce further customized
monitoring metrics. This paper outlines the design, implementation and
evaluation of the C2MS.


title: The Leggett-Garg Inequalities and Non-Invasive Measurability

abstract:
  The Leggett-Garg inequalities are a set of inequalities obeyed by classical
systems but violated in quantum theory. Their violation has been taken as
evidence that quantum theory lacks a `realistic' formulation. However in
addition to realism the derivation of the Leggett-Garg inequalities relies on
another, more obscure assumption of `non-invasive measurability.' The
significance of this assumption and the consequences for the interpretation of
violations of the Leggett-Garg inequalities have been hotly debated. In this
paper we present a pedagogical introduction to the issues, focussing on the
significance of non-invasive measurability. We give a simple derivation of the
Leggett-Garg inequalities paying particular attention to where and when the two
assumptions are used, and we give an example of a realist but not
non-invasively measurable hidden variable theory which violates them. We also
discuss recent attempts to experimentally implement non-invasive measurements
via so called `undetectable measurements' and we show that even undetectable
measurements are not necessarily non-invasive.


title: Discrete theta and the 5d superconformal index

abstract:
  5d Yang-Mills theory with an Sp(N) gauge group admits a discrete analog of
the theta parameter. We describe the origin of this parameter in N=1 theories
from Type I' string theory, and study its effect on the 5d superconformal fixed
point theories with an Sp(1)=SU(2) gauge group by computing the superconformal
index. Our result confirms the lack of global symmetry enhancement in the
so-called \tilde{E}_1 theory.


title: Inductive AM condition for the alternating groups in characteristic 2

abstract:
  We prove that the inductive AM condition introduced by Britta Sp\"ath is true
for the simple alternating groups in characteristic 2. To achieve this we give
an equivalent of a well known result on blocks of the symmetric groups with the
same weight to 2-blocks of double cover of alternating groups.


title: Spatial variations of the fine-structure constant in symmetron models

abstract:
  We investigate the variation of the fine-structure constant, {\alpha}, in
symmetron models using N-body simulations in which the full spatial
distribution of {\alpha} at different redshifts has been calculated. In
particular, we obtain simulated sky maps for this variation, and determine its
power spectrum. We find that in high-density regions of space (such as deep
inside dark matter halos) the value of {\alpha} approaches the value measured
on Earth. In the low-density outskirts of halos the scalar field value can
approach the symmetry breaking value and leads to significantly different
values of {\alpha}. If the scalar-photon coupling strength {\beta}{\gamma} is
of order unity we find that the variation of {\alpha} inside dark matter halos
can be of the same magnitude as the recent claims by Webb et al. of a dipole
variation. Importantly, our results also show that with low-redshift symmetry
breaking these models exhibit some dependence of {\alpha} on lookback time (as
opposed to a pure spatial dipole) which could in principle be detected by
sufficiently accurate spectroscopic measurements, such as those of ALMA and the
ELT-HIRES.


title:
Single-file and normal diffusion of magnetic colloids in modulated
  channels

abstract:
  Diffusive properties of interacting magnetic dipoles confined in a parabolic
narrow channel and in the presence of a periodic modulated (corrugated)
potential along the unconfined direction are studied using Brownian dynamics
simulations. We compare our simulation results with the analytical result for
the effective diffusion coefficient of a single-particle by Festa and d'Agliano
[Physica A \textbf{90}, 229 (1978)] and show the importance of inter-particle
interaction on the diffusion process. We present results for the diffusion of
magnetic dipoles as a function of linear density, strength of the periodic
modulation and commensurability factor.


title:
Perspectives for the study of gas in protoplanetary disks and
  accretion/ejection phenomena in young stars with the near-IR spectrograph
  SPIROU at the CFHT

abstract:
  Near-IR atomic and molecular transitions are powerful tools to trace the warm
and hot gas in the circumstellar environment of young stars. Ro-vibrational
transitions of H2 and H2O, and overtone transitions of CO at 2 micron centered
at the stellar velocity trace hot (T~1500 K) gas in the inner few AU of
protoplanetary disks. H2 near-IR lines displaying a blueshift of a few km/s
probe molecular disk winds. H2 lines presenting blueshifts of hundreds of km/s
reveal hot shocked gas in jets. Atomic lines such as the HeI line at 10830 A
and the Hydrogen Paschen beta and Brakett gamma lines trace emission from
accretion funnel flows and atomic disk winds. Bright forbidden atomic lines in
the near-IR of species such as [Fe II], [N I], [S I], [S II], and [C I] trace
atomic and ionized material in jets. The new near-IR high resolution
spectrograph SPIROU planned for the Canada France Hawaii Telescope will offer
the unique capability of combining high-spectral resolution (R~75000) with a
large wavelength coverage (0.98 to 2.35 micron) in one single exposure. This
will provide us with the means of probing accretion funnel flows, winds, jets,
and hot gas in the inner disk simultaneously. This opens the exiting
possibility of investigating their combined behavior in time by the means of
monitoring observations and systematic surveys. SPIROU will be a powerful tool
to progress our understanding of the connexion between the accretion/ejection
process, disk evolution, and planet formation.


title: Lower Bounds for Quantum Parameter Estimation

abstract:
  The laws of quantum mechanics place fundamental limits on the accuracy of
measurements and therefore on the estimation of unknown parameters of a quantum
system. In this work, we prove lower bounds on the size of confidence regions
reported by any region estimator for a given ensemble of probe states and
probability of success. Our bounds are derived from a previously unnoticed
connection between the size of confidence regions and the error probabilities
of a corresponding binary hypothesis test. In group-covariant scenarios, we
find that there is an ultimate bound for any estimation scheme which depends
only on the representation-theoretic data of the probe system, and we evaluate
its asymptotics in the limit of many systems, establishing a general
"Heisenberg limit" for region estimation. We apply our results to several
examples, in particular to phase estimation, where our bounds allow us to
recover the well-known Heisenberg and shot-noise scaling.


abstract:
  In this paper, we study peculiar properties of p-wave superconductors in
dilaton gravity. The scale invariance of the bulk geometry is effectively
broken due to the existence of dilaton. By coupling the dilaton to the
non-Abelian gauge field, i.e., $-\frac14 e^{-\beta \Phi}
F^a_{\mu\nu}F^{a\mu\nu}$, we find that the dissipative conductivity of the
normal phase decreases and approaches zero at the zero frequency as $\beta$
increases. Intuitively, the system behaves more and more like an insulator.
When the hairy solution is turned on, the system crosses a critical point to
the superconducting phase. We find that the critical chemical potential
decreases with the increasing of $\beta$ and the maximum height of the
conductivity is suppressed gradually which are consistent with our intuition
for insulator/supercondutor transition.


title: Quantum corrections in Higgs inflation: the real scalar case

abstract:
  We present a critical discussion of quantum corrections, renormalisation, and
the computation of the beta functions and the effective potential in Higgs
inflation. In contrast with claims in the literature, we find no evidence for a
disagreement between the Jordan and Einstein frames, even at the quantum level.
For clarity of discussion we concentrate on the case of a real scalar Higgs. We
first review the classical calculation and then discuss the back reaction of
gravity. We compute the beta functions for the Higgs quartic coupling and
non-minimal coupling constant. Here, the mid-field regime is
non-renormalisable, but we are able to give an upper bound on the 1-loop
corrections to the effective potential. We show that, in computing the
effective potential, the Jordan and Einstein frames are compatible if all mass
scales are transformed between the two frames. As such, it is consistent to
take a constant cutoff in either the Jordan or Einstein frame, and both
prescriptions yield the same result for the effective potential. Our results
are extended to the case of a complex scalar Higgs.


title: Cosmic-ray ionisation in collapsing clouds

abstract:
  Cosmic rays (CR) play an important role in dense molecular cores, affecting
their thermal and dynamical evolution and initiating the chemistry. Several
studies have shown that the formation of protostellar discs in collapsing
clouds is severely hampered by the braking torque exerted by the entrained
magnetic field on the infalling gas, as long as the field remains frozen to the
gas. We examine the possibility that the concentration and twisting of the
field lines in the inner region of collapse can produce a significant reduction
of the ionisation fraction. To check whether the CR ionisation rate (CRir) can
fall below the critical value required to maintain good coupling, we first
study the propagation of CRs in a model of a static magnetised cloud varying
the relative strength of the toroidal/poloidal components and the mass-to-flux
ratio. We then follow the path of CRs using realistic magnetic field
configurations generated by numerical simulations of a rotating collapsing
core. We find that an increment of the toroidal component of the magnetic
field, or, in general, a more twisted configuration of the field lines, results
in a decrease in the CR flux. This is mainly due to the magnetic mirroring
effect that is stronger where larger variations in the field direction are
present. In particular, we find a decrease of the CRir below 10^-18 s-1 in the
central 300-400 AU, where density is higher than about 10^9 cm-3. This very low
value of the CRir is attained in the cases of intermediate and low
magnetisation (mass-to-flux ratio lambda=5 and 17, respectively) and for
toroidal fields larger than about 40% of the total field. Magnetic field
effects can significantly reduce the ionisation fraction in collapsing clouds.
We provide a handy fitting formula to compute approximately the attenuation of
the CRir in a molecular cloud as a function of the density and the magnetic
configuration.


title:
Poisson-Dirichlet Statistics for the extremes of the two-dimensional
  discrete Gaussian Free Field

abstract:
  In a previous paper, the authors introduced an approach to prove that the
statistics of the extremes of a log-correlated Gaussian field converge to a
Poisson-Dirichlet variable at the level of the Gibbs measure at low temperature
and under suitable test functions. The method is based on showing that the
model admits a one-step replica symmetry breaking in spin glass terminology.
This implies Poisson-Dirichlet statistics by general spin glass arguments. In
this note, this approach is used to prove Poisson-Dirichlet statistics for the
two-dimensional discrete Gaussian free field, where boundary effects demand a
more delicate analysis.


title: On detecting interactions in the dark sector with H(z) data

abstract:
  An interesting approach to the cosmological coincidence problem is to allow
dark matter and dark energy interact with each other also nongravitationally.
We consider two general Ans\"{a}tze for such an interaction and appraise their
ability to address the coincidence problem. We determine the average accuracy
required on the cosmic expansion rate data to distinguish interacting
cosmological models from the conventional $\Lambda$CDM scenario. We find that
among the planned surveys the Wide Field Infrared Survey Telescope has the best
chance to detect an interaction, though at a low significance level. To
unambiguously determine the existence of an interaction one must, therefore,
combine the said expansion data with other probes.


title:
Ground state hyperfine splitting in ^6,7Li atoms and the nuclear
  structure

abstract:
  Relativistic and QED corrections were calculated for hyperfine splitting of
the $2S_{1/2}$ ground state in $^{6,7}$Li atoms with an exact account for
electronic correlations. The resulting theoretical predictions achieved such a
precision level that, by comparison with experimental values, they enable
determination of the nuclear properties. In particular, the obtained results
show that the $^7$Li nucleus, having a charge radius smaller than $^6$Li, has
about a 40% larger Zemach radius. Together with known differences in the
electric quadrupole and magnetic dipole moments, this calls for a deeper
understanding of the Li nuclear structure.


title: Neutral long-living kaon and muon system of the Belle II detector

abstract:
  The Belle detector operated at KEKb B-factory in 1999-2010 was one of the
most remarkable experiments in the field of elementary particle physics of the
last decades. The Belle successor, Belle II collaboration, is aimed to operate
the Belle II detector at SuperKEKb factory at 40 times higher luminosity.
Increased luminosity imposes new requirements on the detector elements: they
have to survive at higher radiation levels, to operate at higher loads and at
higher backgrounds. The Belle K_L and muon system based on the resistive plate
chambers (RPC) technology worked well during all data taking period, however at
Belle II environments its performance decreases to negligible level due to
increasing load and high neutron background. To sustain detector operation it
will be replaced by the new system based on the scintillation strips read-out
by silicon photomultipliers. The latter technology allows not only to reach
time resolution at level of 1 ns but also perform the amplitude measurements.
Nowadays the production of the new EKLM system's elements are under way. The
assembly at KEK is started this fall.


title:
The impact of sloshing on the intra-group medium and old radio lobe of
  NGC 5044

abstract:
  We present temperature and abundance maps of the central 125 kpc of the NGC
5044 galaxy group, based an a deep XMM-Newton observation. The abundance map
reveals an asymmetrical abundance structure, with the centroid of the highest
abundance gas offset ~22 kpc northwest of the galaxy centre, and moderate
abundances extending almost twice as far to the southeast than in any other
direction. The abundance distribution is closely correlated with two
previously-identified cold fronts and an arc--shaped region of surface
brightness excess, and it appears that sloshing, induced by a previous tidal
encounter, has produced both the abundance and surface brightness features.
Sloshing dominates the uplift of heavy elements from the group core on large
scales, and we estimate that the southeast extension (the tail of the sloshing
spiral) contains at least 1.2x10^5 solar masses more iron than would be
expected of gas at its radius. Placing limits on the age of the encounter we
find that if, as previously suggested, the disturbed spiral galaxy NGC 5054 was
the perturber, it must have been moving supersonically when it transited the
group core. We also examine the spectral properties of emission from the old,
detached radio lobe southeast of NGC 5044, and find that they are consistent
with a purely thermal origin, ruling out this structure as a significant source
of spectrally hard inverse-Compton emission.


title: Transport Equations for Oscillating Neutrinos

abstract:
  We derive a suite of generalized Boltzmann equations, based on the
density-matrix formalism, that incorporates the physics of neutrino
oscillations for two- and three-flavor oscillations, matter refraction, and
self-refraction. The resulting equations are straightforward extensions of the
classical transport equations that nevertheless contain the full physics of
quantum oscillation phenomena. In this way, our broadened formalism provides a
bridge between the familiar neutrino transport algorithms employed by supernova
modelers and the more quantum-heavy approaches frequently employed to
illuminate the various neutrino oscillation effects. We also provide the
corresponding angular-moment versions of this generalized equation set. Our
goal is to make it easier for astrophysicists to address oscillation phenomena
in a language with which they are familiar. The equations we derive are simple
and practical, and are intended to facilitate progress concerning oscillation
phenomena in the context of core-collapse supernova theory.


title: Measurement of the 92,93,94,100Mo(g,n) reactions by Coulomb Dissociation

abstract:
  The Coulomb Dissociation (CD) cross sections of the stable isotopes
92,94,100Mo and of the unstable isotope 93Mo were measured at the LAND/R3B
setup at GSI Helmholtzzentrum f\"ur Schwerionenforschung in Darmstadt, Germany.
Experimental data on these isotopes may help to explain the problem of the
underproduction of 92,94Mo and 96,98Ru in the models of p-process
nucleosynthesis. The CD cross sections obtained for the stable Mo isotopes are
in good agreement with experiments performed with real photons, thus validating
the method of Coulomb Dissociation. The result for the reaction 93Mo(g,n) is
especially important since the corresponding cross section has not been
measured before. A preliminary integral Coulomb Dissociation cross section of
the 94Mo(g,n) reaction is presented. Further analysis will complete the
experimental database for the (g,n) production chain of the p-isotopes of
molybdenum.


title:
On client interactive behaviour to design peer selection policies for
  BitTorrent-like protocols

abstract:
  Peer-to-peer swarming protocols have been proven to be very efficient for
content replication over Internet. This fact has certainly motivated proposals
to adapt these protocols to meet the requirements of on-demand streaming
system. The vast majority of these proposals focus on modifying the piece and
peer selection policies, respectively, of the original protocols. Nonetheless,
it is true that more attention has often been given to the piece selection
policy rather than to the peer selection policy. Within this context, this
article proposes a simple algorithm to be used as basis for peer selection
policies of BitTorrent-like protocols, considering interactive scenarios. To
this end, we analyze the client interactive behaviour when accessing real
multimedia systems. This analysis consists of looking into workloads of real
content providers and assessing three important metrics, namely temporal
dispersion, spatial dispersion and object position popularity. These metrics
are then used as the main guidelines for writing the algorithm. To the best of
our knowledge, this is the first time that the client interactive behaviour is
specially considered to derive an algorithm for peer selection policies.
Finally, the conclusion of this article is drawn with key challenges and
possible future work in this research field.


title: Yukawa Potential, Panharmonic Measure and Brownian Motion

abstract:
  In [25] a Walk On Spheres (WOS) algorithm for Monte Carlo simulation of the
solutions of the Yukawa and the Helmholtz PDE's was developed by using the
so-called Duffin correspondence. In this paper we investigate the foundations
behind the algorithm for the case of the Yukawa PDE. We study the panharmonic
measure that is a generalization of the harmonic measure for the Yukawa PDE. We
show that there are natural stochastic definitions for the panharmonic measure
in terms of the Brownian motion and that the harmonic and the panharmonic
measures are all mutually equivalent. Furthermore, we calculate their
Radon--Nikodym derivatives explicitly for some balls, which is a key result
behind the WOS algorithm.


title: Higgs bundles over elliptic curves for complex reductive Lie groups

abstract:
  We study Higgs bundles over an elliptic curve with complex reductive
structure group, describing the (normalization of) its moduli spaces and the
associated Hitchin fibration. The case of trivial degree is covered by the work
of Thaddeus in 2001. Our arguments are different from those of Thaddeus and
cover arbitrary degree.


title:
Efficient local behavioral change strategies to reduce the spread of
  epidemics in networks

abstract:
  It has recently become established that the spread of infectious diseases
between humans is affected not only by the pathogen itself but also by changes
in behavior as the population becomes aware of the epidemic; for example,
social distancing. It is also well known that community structure (the
existence of relatively densely connected groups of vertices) in contact
networks influences the spread of disease. We propose a set of local strategies
for social distancing, based on community structure, that can be employed in
the event of an epidemic to reduce the epidemic size. Unlike most social
distancing methods, ours do not require individuals to know the disease state
(infected or susceptible, etc.) of others, and we do not make the unrealistic
assumption that the structure of the entire contact network is known. Instead,
the recommended behavior change is based only on an individual's local view of
the network. Each individual avoids contact with a fraction of his/her
contacts, using knowledge of his/her local network to decide which contacts
should be avoided. If the behavior change occurs only when an individual
becomes ill or aware of the disease, these strategies can substantially reduce
epidemic size with a relatively small cost, measured by the number of contacts
avoided.


title:
On double-degenerate type Ia supernova progenitors as supersoft X-ray
  sources - A population synthesis analysis using SeBa

abstract:
  Context: The nature of the progenitors of type Ia supernova (SN) progenitors
remains unclear. While it is usually agreed that single-degenerate progenitor
systems would be luminous supersoft X-ray sources (SSSs), it was recently
suggested that double-degenerate progenitors might also go through a SSS phase.
Aims: We aim to examine the possibility of double-degenerate progenitor systems
being SSSs, and place stringent upper limits on the maximally possible
durations of any SSS phases and expected number of these systems in a galactic
population. Method: We employ the binary population synthesis code SeBa to
examine the mass-transfer characteristics of a possible SSS phase of
double-degenerate type Ia SN progenitor systems for 1) the standard SeBa
assumptions, and 2) an optimistic best-case scenario. The latter case
establishes firm upper limits on the possible population of supersoft source
double-degenerate type Ia SN progenitor systems. Results: Our results indicate
that unlike what is expected for single-degenerate progenitor systems, the vast
majority of the material accreted by either pure wind mass transfer or a
combination of wind and RLOF mass transfer is helium rather than hydrogen. Even
with extremely optimistic assumptions concerning the mass-transfer and
retention efficiencies, the average mass accreted by systems that eventually
become double-degenerate type Ia SNe is small. Consequently, the lengths of
time that these systems may be SSSs are short, even under optimal conditions,
and the expected number of such systems in a galactic population is negligible.
Conclusions: The population of double-degenerate type Ia SN progenitors that
are SSSs is at least an order of magnitude smaller than the population of
single-degenerate progenitors expected to be SSSs, and the supersoft X-ray
behaviour of double-degenerate systems typically ceases long before the SN
explosions.


title: Teleparallel Darkness

abstract:
  First a review of Teleparallel theory is done with special emphasis in the
derivation of conservation equations within this theory and in particular of
energy-momentum conservation. Given that we are allowed to speak about the
existence of negative energy, the question is that in its interaction with
matter, we need not have matter conservation: It is only the sum of both which
should remain constant. This does not only leads to an accelerated expansion
without the need of a cosmological constant, but it may also contribute to
explain the origin of dark matter, and poses questions about the origin of
inflation at earlier times. The prediction of the proposed model can be
qualitatively compared to recent results of Cosmic Microwave Background (CMB)
analysis.


title: The WIRCam Deep Survey II: Mass Selected Clustering

abstract:
  We present an analysis of the clustering of galaxies from z ~ 2 to the
present day using the WIRCam Deep Survey (WIRDS). WIRDS combines deep
near-infrared data with the deep optical data from the CFHTLS Deep fields,
providing a photometric data-set over an effective area of 2.4 sq. deg., from
which accurate photometric redshifts and stellar masses can be estimated. We
use the data to calculate the angular correlation function for galaxy samples
split by star-formation activity, stellar mass and redshift. We estimate the
real-space clustering for each sample, determining clustering lengths and
power-law slopes. For galaxies selected by constant mass, we find that the
clustering scale shows no evolution up to z ~ 2. Splitting the galaxy sample by
mass, we see that higher mass galaxies have larger clustering scales at all
redshifts. We use our results to test the GALFORM semi-analytical galaxy
formation model and find the two are consistent. We split the galaxy population
into passive and star-forming populations and find that the passive galaxy
population shows a significantly larger clustering scale at all redshifts than
the star-forming population below masses of ~$10^{11}M_\odot/h$, showing that
even at z ~ 2 passive galaxies exist in denser environments than the bulk of
the star-forming galaxy population. For star-forming galaxies with stellar
masses $>10^{11}M_\odot/h$, we find a clustering strength of ~8Mpc/h across all
redshifts, comparable to the measurements for the passive population. Also, for
star-forming galaxies we see that clustering strength increases for higher
stellar mass systems, however there is little sign of a mass dependence in
passive galaxies. Finally, we investigate the connection between galaxy stellar
mass and dark matter halo mass, showing a clear correlation between the two in
both the WIRDS data and the GALFORM predictions.


title:
Long time-scale variability of X-ray binaries with late type giant
  companions

abstract:
  In this paper we propose and examine a physical mechanism which can lead to
the generation of noise in the mass accretion rate of low mass X-ray binaries
on time-scales comparable to the orbital period of the system. We consider
modulations of mass captured by the compact object from the companion star's
stellar wind in binaries with late type giants, systems which usually have long
orbital periods. We show that a hydrodynamical interaction of the wind matter
within a binary system even without eccentricity results in variability of the
mass accretion rate with characteristic time-scales close to the orbital
period. The cause of the variability is an undeveloped turbulent motion
(perturbed motion without significant vorticity) of wind matter near the
compact object. Our conclusions are supported by 3D simulations with two
different hydrodynamic codes based on Lagrangian and Eulerian approaches -- the
SPH code GADGET and the Eulerian code PLUTO. In this work we assume that the
wind mass loss rate of the secondary is at the level of $(0.5-1)\times10^{-7}
M_\odot$/year, required to produce observable variations of the mass accretion
rate on the primary. This value is higher than that, estimated for single giant
stars of this type, but examples of even higher mass loss rate of late type
giants in binaries do exist. Our simulations show that the stellar wind matter
intercepted by the compact object might create observational appearances
similar to that of an accretion disc corona/wind and could be detected via high
energy resolution observations of X-ray absorption lines, in particular, highly
ionized ions of heavy elements.


title: Radiative corrections to the EPRL-FK spinfoam graviton

abstract:
  I study the corrections engendered by the insertion of a "melon" graph in the
bulk of the first-order spinfoam used for the graviton propagator. I find that
these corrections are highly non-trivial and, in particular, that they concern
those terms which disappear in the Bojowald-Bianchi-Magliaro-Perini limit of
vanishing Barbero-Immirzi parameter at fixed area. This fact is the first
realization of the often cited idea that the spinfoam amplitude receives higher
order corrections under the refinement of the underlying two-complex.


title: Unital hyperarchimedean vector lattices

abstract:
  We prove that the category of unital hyperarchimedean vector lattices is
equivalent to the category of Boolean algebras. The key result needed to
establish the equivalence is that, via the Yosida representation, such a vector
lattice is naturally isomorphic to the vector lattice of all locally constant
real-valued continuous functions on a Boolean (=compact Hausdorff totally
disconnected) space. We give two applications of our main result.


title:
Population I Cepheids and star formation history of the Large Magellanic
  Cloud

abstract:
  In this paper we study the Cepheids distribution in the Large Magellanic
Cloud (LMC) as a function of their ages using data from the OGLE III
photometric catalogue. To determine age of the Pop I Cepheids, we derived a
period-age (PA) relationship using the Cepheids found in the LMC star clusters.
We find two peaks in the period distribution at logP =0.49+/-0.01 and logP
=0.28+/-0.01 days which correspond to fundamental and first overtone pulsation
modes, respectively. Ages of the Cepheids are used to understand star formation
scenario in the LMC in last 30-600 Myr. The age distribution of the LMC
Cepheids is found to have a peak at log(Age)=8.2+/-0.1. This suggests that
major star formation event took place at about 125-200 Myr ago which may have
been triggered by a close encounter between the SMC and the LMC. Cepheids are
found to be asymmetrically distributed throughout the LMC and many of them lie
in clumpy structures along the bar. The frequency distribution of Cepheids
suggests that most of the clumps are located to the eastern side of the LMC
optical center.


title: A lower bound for disconnection by random interlacements

abstract:
  We consider the vacant set of random interlacements on Z^d, with d bigger or
equal to 3, in the percolative regime. Motivated by the large deviation
principles obtained in our recent work arXiv:1304.7477, we investigate the
asymptotic behavior of the probability that a large body gets disconnected from
infinity by the random interlacements. We derive an asymptotic lower bound,
which brings into play tilted interlacements, and relates the problem to some
of the large deviations of the occupation-time profile considered in
arXiv:1304.7477.


title:
A photometric study of the Open Cluster II: Stellar population and
  dynamical evolution in NGC 559

abstract:
  We present UBVRI photometry of stars in the field of the intermediate-age
open cluster NGC 559. By determining the stellar membership probabilities
derived through a photometric and kinematic study of the cluster, we identify
the 22 most probable cluster members. These are used to obtain robust cluster
parameters. The mean proper motion of the cluster is \mu_x = -3.29+/-0.35,
\mu_y = -1.24+/-0.28 mas/yr. The radial distribution of the stellar surface
density gives a cluster radius of 4'.5+/-0'.2 (3.2+/-0.2 pc). By fitting solar
metallicity stellar isochrones to the colour-colour and colour-magnitude
diagrams, we find a uniform cluster reddening of E(B-V) = 0.82+/-0.02. The
cluster has an age of 224+/-25 Myr and is at a distance of 2.43+/-0.23 kpc.
From the optical and near-infrared two-colour diagrams, we obtain colour
excesses in the direction of the cluster E(V-K) = 2.14+/-0.02, E(J-K) =
0.37+/-0.01, and E(B-V)= 0.76+/-0.04. A total-to-selective extinction of
Rv=3.5+/-0.1 is found in the direction of the cluster which is marginally
higher than the normal value. We derive the luminosity function and the mass
function for the cluster main sequence. The mass function slope is found to be
-2.1+/-0.3. We find evidence of mass segregation in this dynamically relaxed
cluster.


title:
Magnetic and Gravitational Disk-Star Interactions: An Interdependence of
  PMS Stellar Rotation Rates and Spin-Orbit Misalignments

abstract:
  The presence of giant gaseous planets that reside in close proximity to their
host stars may be a consequence of large-scale radial migration through the
proto-planetary nebulae. Within the context of this picture, significant
orbital obliquities characteristic of a substantial fraction of such planets
can be attributed to external torques that perturb the disks out of alignment
with the spin axes of their host stars. Therefore, the acquisition of orbital
obliquity exhibits sensitive dependence on the physics of disk-star
interactions. Here, we analyze the primordial excitation of spin-orbit
misalignment of Sun-like stars, in light of disk-star angular momentum
transfer. We begin by calculating the stellar pre-main sequence rotational
evolution, accounting for spin-up due to gravitational contraction and
accretion as well as spin-down due to magnetic star-disk coupling. We devote
particular attention to angular momentum transfer by accretion, and show that
while generally subdominant to gravitational contraction, this process is
largely controlled by the morphology of the stellar magnetic field (i.e.
specific angular momentum accreted by stars with octupole-dominated surface
fields is smaller than that accreted by dipole-dominated stars by an order of
magnitude). Subsequently, we examine the secular spin-axis dynamics of
disk-bearing stars, accounting for the time-evolution of stellar and disk
properties and demonstrate that misalignments are preferentially excited in
systems where stellar rotation is not overwhelmingly rapid. Moreover, we show
that the excitation of spin-orbit misalignment occurs impulsively, through an
encounter with a resonance between the stellar precession frequency and the
disk-torquing frequency. Cumulatively, the model developed herein opens up a
previously unexplored avenue towards understanding star-disk evolution and its
consequences in a unified manner.


title: Grading switching for modular non-associative algebras

abstract:
  We describe a grading switching for arbitrary non-associative algebras of
prime characteristic p, aimed at producing a new grading of an algebra from a
given one. This is inspired by a fundamental tool in the classification theory
of modular Lie algebras known as toral switching, which relies on a delicate
adaptation of the exponential of a derivation. We trace the development of
grading switching, from an early version based on taking the Artin-Hasse
exponential of a nilpotent derivation, to a more general version which uses
certain generalized Laguerre polynomials playing the role of generalized
exponentials. Both versions depend on the existence of appropriate analogues of
the functional equation exp(x).exp(y)=exp(x+y) for the classical exponential.


title:
A Complete Reference of the Analytical Synchrotron External Shock Models
  of Gamma-Ray Bursts

abstract:
  Gamma-ray bursts are most luminous explosions in the universe. Their ejecta
are believed to move towards Earth with a relativistic speed. The interaction
between this "relativistic jet" and a circum burst medium drives a pair of
(forward and reverse) shocks. The electrons accelerated in these shocks radiate
synchrotron emission to power the broad-band afterglow of GRBs. The external
shock theory is an elegant theory, since it invokes a limit number of model
parameters, and has well predicted spectral and temporal properties. On the
other hand, depending on many factors (e.g. the energy content, ambient density
profile, collimation of the ejecta, forward vs. reverse shock dynamics, and
synchrotron spectral regimes), there is a wide variety of the models. These
models have distinct predictions on the afterglow decaying indices, the
spectral indices, and the relations between them (the so-called "closure
relations"), which have been widely used to interpret the rich multi-wavelength
afterglow observations. This review article provides a complete reference of
all the analytical synchrotron external shock afterglow models by deriving the
temporal and spectral indices of all the models in all spectral regimes,
including some regimes that have not been published before. The review article
is designated to serve as a useful tool for afterglow observers to quickly
identify relevant models to interpret their data. The limitations of the
analytical models are reviewed, with a list of situations summarized when
numerical treatments are needed.


title:
New Approach for Prediction Pre-cancer via Detecting Mutated in Tumor
  Protein P53

abstract:
  Tumor protein P53 is believed to be involved in over half of human cancers
cases, the prediction of malignancies plays essential roles not only in advance
detection for cancer, but also in discovering effective prevention and
treatment of cancer, till now there isn't approach be able in prediction the
mutated in tumor protein P53 which is caused high ratio of human cancers like
breast, Blood, skin, liver, lung, bladder etc. This research proposed a new
approach for prediction pre-cancer via detection malignant mutations in tumor
protein P53 using bioinformatics tools like FASTA, BLAST, CLUSTALW and TP53
databases worldwide. Implement and apply this new approach of prediction
pre-cancer through mutations at tumor protein P53 shows an effective result
when used more specific parameters/features to extract the prediction result
that means when the user increase the number of filters of the results which
obtained from the database gives more specific diagnosis and classify, addition
that the detecting pre-cancer via prediction mutated tumor protein P53 will
reduces a person's cancers in the future by avoiding exposure to toxins,
radiation or monitoring themselves at older ages by change their food,
environment, even the pace of living. Also that new approach of prediction
pre-cancer will help if there is any treatment can give for that person to
therapy the mutated tumor protein P53. Index Terms (Normal Homology TP53 gene,
Tumor Protein P53, Oncogene Labs, GC and AT content, FASTA, BLAST, ClustalW)


title:
Numerical Simulation of Establishment of thermodynamic equilibrium in
  cosmological model with an arbitrary acceleration

abstract:
  Results of numerical simulation constructed before strict mathematical model
of an establishment of thermodynamic equilibrium in originally nonequilibrium
cosmological ultrarelativistic plasma for the Universe with any acceleration in
the assumption of restoration of a scalling of interactions of elementary
particles are presented at energies above a unitary limit. Limiting parametres
of residual nonequilibrium distribution of nonequilibrium relic particles of
ultrahigh energies are found.


title:
Role of Viscosity and Cooling in Hydrodynamic Simulation of Two
  Component Accretion Flow (TCAF) around Black Holes

abstract:
  We carry out numerical simulation of accretion flows around a black hole in
presence of both viscous and cooling effects. Instead of using a constant
$\alpha$ parameter throughout the simulation grid, we assume that $\alpha$ is
maximum on the equatorial plane and gradually goes down in the perpendicular
direction We show that when the injected sub-Keplerian flow angular momentum is
high enough and/or the viscosity and also cooling is high enough, Two Component
{\bf Accretion} Flow (TCAF) would be formed, otherwise the sub-Keplerian flow
would remain sub-Keplerian. We see that a Keplerian disk is produced on the
equatorial plane. Time variations of the total, Keplerian and Sub-Keplerian
matter are studied with respect to various flow parameters.


title:
Quantum versus classical instability of scalar fields in curved
  backgrounds

abstract:
  General-relativistic stable spacetimes can be made unstable under the
presence of certain nonminimally coupled free scalar fields. In this paper, we
analyze the evolution of linear scalar-field perturbations in spherically
symmetric spacetimes and compare the classical stability analysis with a
recently discussed quantum field one. In particular, it is shown that vacuum
fluctuations lead to natural seeds for the unstable phase, whereas in the
classical framework the presence of such seeds in the initial conditions must
be assumed.


title: Maxwell's equal area law and the Hawking-Page phase transition

abstract:
  In this paper we study the phases of a Schwarzschild black hole in the Anti
deSitter background geometry. Exploiting fluid/gravity duality we construct the
Maxwell equal area isotherm T=T* in the temperature-entropy plane, in order to
eliminate negative heat capacity black hole configurations. The construction we
present here is reminiscent of the isobar cut in the pressure-volume plane
which eliminates un-physical part of the Van der Walls curves below the
critical temperature. Our construction also modifies the Hawking-Page phase
transition. Stable black holes are formed at the temperature T > T*, while pure
radiation persists for T< T*. T* turns out to be below the standard
Hawking-Page temperature and there are no unstable black holes as in the usual
scenario. Also, we show that in order to reproduce the correct black hole
entropy S=A/4, one has to write a black hole equation of state, i.e. P=P(V), in
terms of the geometrical volume V=4\pi r^3/3.


title:
Schur--Agler and Herglotz--Agler classes of functions: positive-kernel
  decompositions and transfer-function realizations

abstract:
  We discuss transfer-function realization for multivariable holomorphic
functions mapping the unit polydisk or the right polyhalfplane into the
operator analogue of either the unit disk or the right halfplane
(Schur/Herglotz functions over either the unit polydisk or the right
polyhalfplane) which satisfy the appropriate stronger contractive/positive real
part condition for the values of these functions on commutative tuples of
strict contractions/strictly accretive operators (Schur--Agler/Herglotz--Agler
functions over either the unit polydisk or the right polyhalfplane). As
originally shown by Agler, the first case (polydisk to disk) can be solved via
unitary extensions of a partially defined isometry constructed in a canonical
way from a kernel decomposition for the function (the {\em lurking-isometry
method}). We show how a geometric reformulation of the lurking-isometry method
(embedding of a given isotropic subspace of a Kre\u{\i}n space into a
Lagrangian subspace---the {\em lurking-isotropic-subspace method}) can be used
to handle the second two cases (polydisk to halfplane and polyhalfplane to
disk), as well as the last case (polyhalfplane to halfplane) if an additional
growth condition at $\infty$ is imposed. For the general fourth case, we show
how a linear-fractional-transformation change of variable can be used to arrive
at the appropriate symmetrized nonhomogeneous Bessmertny\u{\i} long-resolvent
realization. We also indicate how this last result recovers the classical
integral representation formula for scalar-valued holomorphic functions mapping
the right halfplane into itself.


title:
On r-equitable chromatic threshold of Kronecker products of complete
  graphs

abstract:
  A graph $G$ is $r$-equitably $k$-colorable if its vertex set can be
partitioned into $k$ independent sets, any two of which differ in size by at
most $r$. The $r$-equitable chromatic threshold of a graph $G$, denoted by
$\chi_{r=}^*(G)$, is the minimum $k$ such that $G$ is $r$-equitably
$k'$-colorable for all $k'\ge k$. Let $G\times H$ denote the Kronecker product
of graphs $G$ and $H$. In this paper, we completely determine the exact value
of $\chi_{r=}^*(K_m\times K_n)$ for general $m,n$ and $r$. As a consequence, we
show that for $r\ge 2$, if $n\ge \frac{1}{r-1}(m+r)(m+2r-1)$ then $K_m\times
K_n$ and its spanning supergraph $K_{m(n)}$ have the same $r$-equitable
colorability, and in particular $\chi_{r=}^*(K_m\times
K_n)=\chi_{r=}^*(K_{m(n)})$, where $K_{m(n)}$ is the complete $m$-partite graph
with $n$ vertices in each part.


title: Specialization results and ramification conditions

abstract:
  Given a hilbertian field $k$ of characteristic zero and a finite Galois
extension $E/k(T)$ with group $G$ such that $E/k$ is regular, we produce some
specializations of $E/k(T)$ at points $t_0 \in \mathbb{P}^1(k)$ which have the
same Galois group but also specified inertia groups at finitely many given
primes. This result has two main applications. Firstly we conjoin it with
previous works to obtain Galois extensions of $\mathbb{Q}$ of various finite
groups with specified local behavior - ramified or unramified - at finitely
many given primes. Secondly, in the case $k$ is a number field, we provide
criteria for the extension $E/k(T)$ to satisfy this property: at least one
Galois extension $F/k$ of group $G$ is not a specialization of $E/k(T)$.


title: $Y(4260)$ as the first $S$-wave open charm vector molecular state?

abstract:
  Since its first observation in 2005, the vector charmonium $Y(4260)$ has
turned out to be one of the prime candidates for an exotic state in the
charmonium spectrum. It was recently proposed that the $Y(4260)$ should have a
prominent $D_1\bar{D}+c.c.$ molecular component that is strongly correlated
with the production of the charged $Z_c(3900)$. In this paper we demonstrate
that the nontrivial cross section line shapes of $e^+e^-\to J/\psi\pi\pi$ and
$h_c\pi\pi$ can be naturally explained by the molecular scenario. As a
consequence we find a significantly smaller mass for the $Y(4260)$ than
previous studied. In the $e^+e^-\to \bar D D^*\pi+c.c.$ process, with the
inclusion of an additional $S$-wave $\bar D^*\pi$ contribution constrained
  from data on the $D\bar D^*$ invariant mass distribution, we obtain a good
agreement with the data of the angular distributions. We also predict an
unusual line shape of $Y(4260)$ in this channel that may serve as a smoking gun
for a predominantly molecular nature of $Y(4260)$. Improved measurements of
these observables are therefore crucial for a better understanding of the
structure of this famous resonance.


title: Parallax measurements of cool brown dwarfs

abstract:
  Accurate parallax measurements allow us to determine physical properties of
brown dwarfs, and help us to constrain evolutionary and atmospheric models,
break the age-mass degeneracy and reveal unresolved binaries.
  We measured absolute trigonometric parallaxes and proper motions of 6 cool
brown dwarfs using background galaxies to establish an absolute reference
frame. We derive the absolute J-mag. The six T brown dwarfs in our sample have
spectral types between T2.5 and T7.5 and magnitudes in J between 13.9 and 18.0,
with photometric distances below 25 pc.
  The observations were taken in the J-band with the Omega-2000 camera on the
3.5 m telescope at Calar Alto, during a time period of 27 months, between March
2011 and June 2013. The number of epochs varied between 11 and 12 depending on
the object. The reduction of the astrometric measurements was carried out with
respect to the field stars. The relative parallax and proper motions were
transformed into absolute measurements using the background galaxies in our
fields.
  We obtained absolute parallaxes for our six brown dwarfs with a precision
between 3 and 6 mas. We compared our results in a color-magnitude diagram with
other brown dwarfs with determined parallax and with the BT-Settl 2012
atmospheric models. For four of the six targets we found a good agreement in
luminosity with objects of similar spectral types. We obtained an improved
accuracy in the parallaxes and proper motions in comparison to previous works.
The object 2MASS J11061197+2754225 is more than 1 mag overluminous in all bands
pointing to binarity or high order multiplicity.


title: Results of Soft-Diffraction at LHCb

abstract:
  The LHCb detector with its unique pseudorapidity coverage allows to perform
soft-QCD measurements in the kinematic forward region where QCD models have
large uncertainties. Selected analyses related to soft-Diffraction will be
summarised in these proceedings. Energy flow and charged particle multiplicity
have been measured separately in different event classes. They give input for
modelling the underlying event in pp collisions. Prompt hadron ratios are
important for hadronisation models, while the $\bar p/p$ ratio is a good
observable to test models of baryon number transport.


title: Dust in the wind II: Polarization imaging from disk-born outflows

abstract:
  In this second research note of a series of two, we aim to map the polarized
flux emerging from a disk-born, dusty outflow as it was prescribed by Elvis
(2000). His structure for quasars was achieved to unify the emission and
absorption features observed in active galactic nuclei (AGN) and can be used as
an alternative scenario to the typical dusty torus that is extensively used to
account for AGN circumnuclear obscuration. Using Monte Carlo radiative transfer
simulations, we model an obscuring outflow arising from an emitting accretion
disk and examine the resulting polarization degree, polarization angle and
polarized flux. Polarization cartography reveals that a disk-born outflow has a
similar torus morphology in polar viewing angles, with bright polarized fluxes
reprocessed onto the wind funnel. At intermediate and edge-on inclinations, the
model is rather close to a double-conical wind, with higher fluxes in the cone
bases. It indicates that the optically thick outflow is not efficient enough to
avoid radiation escaping from the central region, particularly due to the
geometrically thin divergence angle of the outflow. As parametrized in this
research note, a dusty outflow does not seem to be able to correctly reproduce
the polarimetric behavior of an usual dusty torus. Further refinement of the
model is necessary.


title: Nucleation scaling in jigsaw percolation

abstract:
  Jigsaw percolation is a nonlocal process that iteratively merges connected
clusters in a deterministic "puzzle graph" by using connectivity properties of
a random "people graph" on the same set of vertices. We presume the
Erdos--Renyi people graph with edge probability p and investigate the
probability that the puzzle is solved, that is, that the process eventually
produces a single cluster. In some generality, for puzzle graphs with N
vertices of degrees about D (in the appropriate sense), this probability is
close to 1 or small depending on whether pD(log N) is large or small. The one
dimensional ring and two dimensional torus puzzles are studied in more detail
and in many cases the exact scaling of the critical probability is obtained.
The paper settles several conjectures posed by Brummitt, Chatterjee, Dey, and
Sivakoff who introduced this model.


title: The Cyclic Douglas-Rachford Method for Inconsistent Feasibility Problems

abstract:
  We analyse the behaviour of the newly introduced cyclic Douglas-Rachford
algorithm for finding a point in the intersection of a finite number of closed
convex sets. This work considers the case in which the target intersection set
is possibly empty.


title: Anomaly Mediation in Local Effective Theories

abstract:
  The phenomenon known as ``anomaly mediation" can be understood in a variety
of ways. Rather than an anomaly, certain gaugino bilinear terms are required by
local supersymmetry and gauge invariance (the derivation of these terms is in
some cases related to anomalies in scale invariance or $R$ symmetries). We
explain why the gaugino bilinear is required in supersymmetric gauge theories
with varying number of colors and flavors. By working in the Higgs phase,
gauging a flavor group, or working below the scale of gaugino condensation,
each of these theories has a local effective description in which we can
identify the bilinear term, establishing its necessity in the microscopic
theory. For example, in theories that exhibit gaugino condensation, the
potential in the very low energy theory is supersymmetric precisely due to the
relation between the nonperturbative superpotential and the gaugino bilinear
terms. Similarly, the gravitino mass appears from its coupling to the gaugino
bilinear.


title:
Why should we keep measuring zenital dependence of muon flux? Results
  obtained at Campinas (SP) BR

abstract:
  The zenital dependence of muon flux which reaches the earth's surface is well
known as proportional to cos^n(\theta). Generally, for practical purposes and
simplicity in calculations, n is taken as 2. However, compilations of
measurements show dependence on the geographical location of the experiments as
well as the muons energy range. Since analytical solutions appear to be
increasingly less necessary because of the higher accessibility to low cost
computational power, accurate and precise determination of the value of the
exponent n, under different conditions, can be useful in the necessary
calculations to estimate signals and backgrounds, either for terrestrial and
underground experiments. In this work we discuss a method for measuring n using
a simple muon telescope and the results obtained for measurements taken at
Campinas (SP), Brazil. After validation of the method, we intend to extend the
measurements for different geographic locations due to the simplicity of the
method, and thus collect more values of n that currently exist in compilations
of general data on cosmic rays.


title:
Constant Froude number in a circular hydraulic jump and its implication
  on the jump radius selection

abstract:
  The properties of a standard hydraulic jump depend critically on a Froude
number Fr defined as the ratio of the flow velocity to the gravity waves speed.
In the case of a horizontal circular jump, the question of the Froude number is
not well documented. Our experiments show that Fr measured just after the jump
is locked on a constant value that does not depend on flow rate Q, kinematic
viscosity {\nu} and surface tension {\gamma}. Combining this result to a
lubrication description of the outer flow yields, under appropriate conditions,
a new and simple law ruling the jump radius RJ : $R_J (ln
(\frac{R_\infty}{R_J}))^{3/8} \sim Q^{5/8}\nu ^{-3/8}$, in excellent agreement
with our experimental data. This unexpected RJ result asks an unsolved question
to all available models.


title: Elegent -- an elastic event generator

abstract:
  Although elastic scattering of nucleons may look like a simple process, it
presents a long-lasting challenge for theory. Due to missing hard energy scale,
the perturbative QCD can not be applied. Instead, many
phenomenological/theoretical models have emerged. In this paper we present a
unified implementation of some of the most prominent models in a C++ library,
moreover extended to account for effects of the electromagnetic interaction.
The library is complemented with a number of utilities. For instance, programs
to sample many distributions of interest in four-momentum transfer squared, t,
impact parameter, b, and collision energy sqrt(s). These distributions at ISR,
SppS, RHIC, Tevatron and LHC energies are available for download from the
project web site. Both in the form of ROOT files and PDF figures providing
comparisons among the models. The package includes also a tool for Monte-Carlo
generation of elastic scattering events, which can easily be embedded in any
other program framework.


title: Remarks on the quantum de Finetti theorem for bosonic systems

abstract:
  The quantum de Finetti theorem asserts that the k-body density matrices of a
N-body bosonic state approach a convex combination of Hartree states (pure
tensor powers) when N is large and k fixed. In this note we review a
construction due to Christandl, Mitchison, K\"onig and Renner valid for finite
dimensional Hilbert spaces, which gives a quantitative version of the theorem.
We first propose a variant of their proof that leads to a slightly improved
estimate. Next we provide an alternative proof of an explicit formula due to
Chiribella, which gives the density matrices of the constructed state as a
function of those of the original state.

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


title:
Hybrid superconducting-magnetic memory device using competing order
  parameters

abstract:
  Superconducting devices, which rely on modulating a complex superconducting
order parameter in a Josephson junction, have been developed for low power
logic operations, high-frequency oscillators, and exquisite magnetic field
sensors. Magnetic devices, which rely on the modulation of a local vector order
parameter- the local magnetic moment, have been used as memory elements,
high-frequency spin-transfer oscillators, and magnetic field sensors. In a
hybrid superconducting-magnetic device, these two order parameters compete,
with one type of order suppressing the other. Recent interest in
ultra-low-power, high-density cryogenic memories has spurred new interest in
merging superconducting and magnetic behavior so as to exploit these two
competing order parameters to produce novel switching elements. Here, we
describe a reconfigurable two-layer magnetic spin valve integrated within a
Josephson junction. Our measurements separate the suppression in the
superconducting coupling due to the exchange field in the magnetic layers,
which causes depairing of the supercurrent, from the suppression due to the
magnetic field generated by the magnetic layers. The exchange field suppression
of the superconducting order parameter is a tunable and switchable behavior
that is also scalable to nanometer device dimensions. These devices are the
first to demonstrate nonvolatile, size-independent switching of the Josephson
coupling, in both magnitude and phase, and they may allow for the first
nanoscale superconducting memory devices.


title:
The theory of contractions of 2D 2nd order quantum superintegrable
  systems and its relation to the Askey scheme for hypergeometric orthogonal
  polynomials

abstract:
  We describe a contraction theory for 2nd order superintegrable systems,
showing that all such systems in 2 dimensions are limiting cases of a single
system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Analogously, all of the quadratic symmetry algebras of these systems can be
obtained by a sequence of contractions starting from S9. By contracting
function space realizations of irreducible representations of the S9 algebra
(which give the structure equations for Racah/Wilson polynomials) to the other
superintegrable systems one obtains the full Askey scheme of orthogonal
hypergeometric polynomials.This relates the scheme directly to explicitly
solvable quantum mechanical systems. Amazingly, all of these contractions of
superintegrable systems with potential are uniquely induced by Wigner Lie
algebra contractions of so(3,C) and e(2,C). The present paper concentrates on
describing this intimate link between Lie algebra and superintegrable system
contractions, with the detailed calculations presented elsewhere. Joint work
with E. Kalnins, S. Post, E. Subag and R. Heinonen


title: Snowmass 2013 Computing Frontier: Accelerator Science

abstract:
  This is the working summary of the Accelerator Science working group of the
Computing Frontier of the Snowmass meeting 2013. It summarizes the computing
requirements to support accelerator technology in both Energy and Intensity
Frontiers.


title: Radio Emission Region Exposed: Courtesy of the Double Pulsar

abstract:
  The double pulsar system PSR J0737-3039A/B offers exceptional possibilities
for detailed probes of the structure of the pulsar magnetosphere, pulsar winds
and relativistic reconnection. We numerically model the distortions of the
magnetosphere of pulsar B by the magnetized wind from pulsar A, including
effects of magnetic reconnection and of the geodetic precession. Geodetic
precession leads to secular evolution of the geometric parameters and
effectively allows a 3D view of the magnetosphere. Using the two complimentary
models of pulsar B's magnetosphere, adapted from the Earth's magnetosphere
models by Tsyganenko (ideal pressure confinement) and Dungey (highly resistive
limit), we determine the precise location and shape of the coherent radio
emission generation region within pulsar B's magnetosphere. We successfully
reproduce orbital variations and secular evolution of the profile of B, as well
as subpulse drift (due to reconnection between the magnetospheric and wind
magnetic fields), and determine the location and the shape of the emission
region. The emission region is located at about 3750 stellar radii and has a
horseshoe-like shape, which is centered on the polar magnetic field lines. The
best fit angular parameters of the emission region indicate that radio emission
is generated on the field lines which, according to the theoretical models,
originate close to the poles and carry the maximum current. When considered
together, the results of the two models converge and can explain why the
modulation of B's radio emission at A's period is observed only within a
certain orbital phase region. Our results imply that the wind of pulsar A has a
striped structure only 1000 light cylinder radii away. We discuss the
implications of these results for pulsar magnetospheric models, mechanisms of
coherent radio emission generation, and reconnection rates in relativistic
plasma.


title: Quantum Black Holes Effects on the Shape of Extensive Air Showers

abstract:
  We investigate the possibility to find a characteristic TeV scale quantum
black holes decay signature in the data recorded by cosmic rays experiments.
TeV black holes can be produced via the collisions of ultra high energetic
protons (E > $10^18$ eV) with nucleons the from atmosphere. We focus on the
case when the black holes decay into two particles moving in the forward
direction in the Earth reference frame (back-to-back in the center of mass
reference frame) and induce two overlapping showers. When reconstructing both
the energy and the shape of the resultant air shower, there is a significant
difference between showers induced only via standard model interactions and
showers produced via the back-to-back decay of black holes as intermediate
states.


title:
Group lifting structures for multirate filter banks I: Uniqueness of
  lifting factorizations

abstract:
  Group lifting structures are introduced to provide an algebraic framework for
studying lifting factorizations of two-channel perfect reconstruction
finite-impulse-response (FIR) filter banks. The lifting factorizations
generated by a group lifting structure are characterized by Abelian groups of
lower and upper triangular lifting matrices, an Abelian group of unimodular
gain scaling matrices, and a set of base filter banks. Examples of group
lifting structures are given for linear phase lifting factorizations of the two
nontrivial classes of two-channel linear phase FIR filter banks, the whole- and
half-sample symmetric classes, including both the reversible and irreversible
cases. This covers the lifting specifications for whole-sample symmetric filter
banks in Parts 1 and 2 of the ISO/IEC JPEG 2000 still image coding standard.
The theory is used to address the uniqueness of lifting factorizations. With no
constraints on the lifting process, it is shown that lifting factorizations are
highly nonunique. When certain hypotheses developed in the paper are satisfied,
however, lifting factorizations generated by a group lifting structure are
shown to be unique. A companion paper applies the uniqueness results proven in
this paper to the linear phase group lifting structures for whole- and
half-sample symmetric filter banks.


title:
On multiplicity bounds for Schrodinger eigenvalues on Riemannian
  surfaces

abstract:
  A classical result by Cheng in 1976, improved later by Besson and
Nadirashvili, says that the multiplicities of the eigenvalues of the
Schrodinger operator with a smooth potential on a compact Riemannian surface M
are bounded in terms of the eigenvalue index and the genus of M. We prove that
these multiplicity bounds hold for an L^p-potential, where p>1. We also discuss
similar multiplicity bounds for Laplace eigenvalues on singular Riemannian
surfaces.


title:
Group lifting structures for multirate filter banks II: Linear phase
  filter banks

abstract:
  The theory of group lifting structures is applied to linear phase lifting
factorizations for the two nontrivial classes of two-channel linear phase
perfect reconstruction filter banks, the whole- and half-sample symmetric
classes. Group lifting structures defined for the reversible and irreversible
classes of whole- and half-sample symmetric filter banks are shown to satisfy
the hypotheses of the uniqueness theorem for group lifting structures. It
follows that linear phase group lifting factorizations of whole- and
half-sample symmetric filter banks are therefore independent of the
factorization methods used to construct them. These results cover the
specification of whole-sample symmetric filter banks in the ISO/IEC JPEG 2000
image coding standard.


title:
Binaries discovered by the MUCHFUSS project; FBS 0117+396: An sdB+dM
  binary with a pulsating primary

abstract:
  The project Massive Unseen Companions to Hot Faint Underluminous Stars from
SDSS (muchfuss) aims to discover subdwarf-B stars with massive compact
companions such as overmassive white dwarfs (M > 1.0 M_sun), neutron stars or
black holes. From the 127 subdwarfs with substantial radial-velocity variations
discovered in the initial survey, a number of interesting objects have been
selected for extensive follow-up. After an initial photometry run with BUSCA
revealed that FBS 0117+396 is photometrically variable both on long and short
timescales, we chose it as an auxiliary target during a 6-night multi-color
photometry run with Ultracam. Spectroscopy was obtained at a number of
observatories in order to determine the binary period and obtain a
radial-velocity amplitude. After establishing an orbital period of P = 0.252 d,
and removing the signal associated with the irradiated hemisphere of the
M-dwarf companion, we were able to detect ten pulsation periods in the Fourier
spectrum of the light curve. Two pulsation modes are found to have short
periods of 337 and 379 s, and at least eight modes are found with periods
between 45 minutes and 2.5 hours. This establishes that FBS 0117+396 is an
sdB+dM reflection binary, in which the primary is a hybrid pulsator, and the
first one found with this particular melange of flavours.


title:
Accounting for Randomness in Measurement and Sampling in Study of Cancer
  Cell Population Dynamics

abstract:
  Studying the development of malignant tumours, it is important to know and
predict the proportions of different cell types in tissue samples. Knowing the
expected temporal evolution of the proportion of normal tissue cells, compared
to stem-like and non-stem like cancer cells, gives an indication about the
progression of the disease and indicates the expected response to interventions
with drugs. Such processes have been modeled using Markov processes. An
essential step for the simulation of such models is then the determination of
state transition probabilities. We here consider the experimentally more
realistic scenario in which the measurement of cell population sizes is noisy,
leading to a particular hidden Markov model. In this context, randomness in
measurement is related to noisy measurements, which are used for the estimation
of the transition probability matrix. Randomness in sampling, on the other
hand, is here related to the error in estimating the state probability from
small cell populations. Using aggregated data of fluorescence-activated cell
sorting (FACS) measurement, we develop a minimum mean square error estimator
(MMSE) and maximum likelihood (ML) estimator and formulate two problems to find
the minimum number of required samples and measurements to guarantee the
accuracy of predicted population sizes using a transition probability matrix
estimated from noisy data. We analyze the properties of two estimators for
different noise distributions and prove an optimal solution for Gaussian
distributions with the MMSE. Our numerical results show, that for noisy
measurements the convergence mechanism of transition probabilities and steady
states differ widely from the real values if one uses the standard
deterministic approach in which measurements are assumed to be noise free.


title:
Three-Dimensional Radiation-Hydrodynamics Calculations of the Envelopes
  of Young Planets Embedded in Protoplanetary Disks

abstract:
  We perform global three-dimensional (3D) radiation-hydrodynamics calculations
of the envelopes surrounding young planetary cores of 5, 10, and 15 Earth
masses, located in a protoplanetary disk at 5 and 10 AU from a solar-mass star.
We apply a nested-grid technique to resolve the thermodynamics of the disk at
the orbital-radius length scale and that of the envelope at the core-radius
length scale. The gas is modeled as a solar mixture of molecular and atomic
hydrogen, helium, and their ions. The equation of state accounts for both gas
and radiation, and gas energy includes contributions from rotational and
vibrational states of molecular hydrogen and from ionization of atomic species.
Dust opacities are computed from first principles, applying the full Mie
theory. One-dimensional (1D) calculations of planet formation are used to
supplement the 3D calculations by providing energy deposition rates in the
envelope due to solids accretion. We compare 1D and 3D envelopes and find that
masses and gas accretion rates agree within factors of 2, and so do envelope
temperatures. The trajectories of passive tracers are used to define the size
of 3D envelopes, resulting in radii much smaller than the Hill radius and
smaller than the Bondi radius. The moments of inertia and angular momentum of
the envelopes are determined and the rotation rates are derived from the
rigid-body approximation, resulting in slow bulk rotation. We find that the
polar flattening is < ~0.05. The dynamics of the accretion flow is examined by
tracking the motion of tracers that move into the envelope. The anisotropy of
this flow is characterized in terms of both its origin and impact site at the
envelope surface. Gas merges with the envelope preferentially at mid- to high
latitudes.


title:
Robust Design by Antioptimization for Parameter Tolerant GaAs/AlOx High
  Contrast Grating Mirror for VCSEL Application

abstract:
  A GaAs/AlOx high contrast grating structure design which exhibits a 99.5%
high reflectivity for a 425nm large bandwidth is reported. The high contrast
grating (HCG) structure has been designed in order to enhance the properties of
mid-infrared VCSEL devices by replacing the top Bragg mirror of the cavity. A
robust optimization algorithm has been implemented to design the HCG structure
not only as an efficient mirror but also as a robust structure against the
imperfections of fabrication. The design method presented here can be easily
adapted for other HCG applications at different wavelengths.


title:
Controller design and region of attraction estimation for nonlinear
  dynamical systems

abstract:
  This work presents a method to obtain inner and outer approximations of the
region of attraction of a given target set as well as an admissible controller
generating the inner approximation. The method is applicable to constrained
polynomial dynamical systems and extends to trigonometric and rational systems.
The method consists of three steps: compute outer approximations, extract a
polynomial controller while guaranteeing the satisfaction of the input
constraints, compute inner approximations with respect to the closed-loop
system with this controller. Each step of the method is a convex optimization
problem, in fact a semidefinite program consisting of minimizing a linear
function subject to linear matrix inequality (LMI) constraints. The inner
approximations are positively invariant provided that the target set is
included in the inner approximation and/or is itself invariant. %The approach
readily extends to trigonometric dynamics and/or constraints.


title: What is the optimal shape of a fin for one dimensional heat conduction?

abstract:
  This article is concerned with the shape of small devices used to control the
heat flowing between a solid and a fluid phase, usually called \textsl{fin}.
The temperature along a fin in stationary regime is modeled by a
one-dimensional Sturm-Liouville equation whose coefficients strongly depend on
its geometrical features. We are interested in the following issue: is there
any optimal shape maximizing the heat flux at the inlet of the fin? Two
relevant constraints are examined, by imposing either its volume or its
surface, and analytical nonexistence results are proved for both problems.
Furthermore, using specific perturbations, we explicitly compute the optimal
values and construct maximizing sequences. We show in particular that the
optimal heat flux at the inlet is infinite in the first case and finite in the
second one. Finally, we provide several extensions of these results for more
general models of heat conduction, as well as several numerical illustrations.


title:
High resolution study of the abundance pattern of the heavy elements in
  very metal-poor field stars

abstract:
  The abundances of heavy elements in EMP stars are not well explained by the
simple view of an initial basic "rapid" process. In a careful and homogeneous
analysis of the "First stars" sample (eighty per cent of the stars have a
metallicity [Fe/H]=-3.1$\pm$0.4), it has been shown that at this metallicity
[Eu/Ba] is constant, and therefore the Eu-rich stars (generally called
"r-rich") are also Ba-rich. The very large variation of [Ba/Fe] (existence of
"r-poor" and "r-rich" stars) induces that the early matter was not perfectly
mixed. On the other hand, the distribution of the values of [Sr/Ba] vs. [Ba/Fe]
appears with well defined upper and lower envelopes. No star was found with
[Sr/Ba]<-0.5 and the scatter of [Sr/Ba] increases regularly when [Ba/Fe]
decreases. To explain this behavior, we suggest that an early "additional"
process forming mainly first peak elements would affect the initial composition
of the matter. For a same quantity of accreted matter, this additional Sr
production would barely affect the r-rich matter (which already contains an
important quantity of Sr) but would change significantly the composition of the
r-poor matter. The abundances found in the CEMP-rs stars reflect the transfer
of heavy elements from a defunct AGB companion. But the abundances of the heavy
elements in CEMP-no stars present the same characteristics as the the
abundances in the EMP stars.