title:
Vibration and Nonlinear Resonance in the Break-up of an Underwater
  Bubble

abstract:
  We use high-speed X-ray phase-contrast imaging, weakly nonlinear analysis and
boundary integral simulations to characterize the final stage of underwater
bubble break-up. The X-ray imaging study shows that an initial azimuthal
perturbation to the shape of the bubble neck gives rise to oscillations that
increasingly distort the cross-section shape. These oscillations terminate in a
pinch-off where the bubble surface develops concave regions that contact
similar to what occurs when two liquid drops coalesce. We also present a weakly
nonlinear analysis that shows that this coalescence-like mode of pinch-off
occurs when the initial shape oscillation interferes constructively with the
higher harmonics it generates and thus reinforce each other's effects in
bringing about bubble break-up. Finally we present numerical results that
confirm the weakly nonlinear analysis scenario as well as provide insight into
observed shape reversals. They demonstrate that when the oscillations interfere
destructively, a qualitatively different mode of pinch-off results where the
cross-section profile of the bubble neck develops sharply-curved regions.


title: Reproducing lepton mixing in a texture zero model

abstract:
  We note that the emerging features of lepton mixing can be reproduced if,
with inverted neutrino mass ordering, both the smallest neutrino mass and the
$\tau\tau$ element of the neutrino mass matrix vanish. Then, the atmospheric
neutrino mixing angle is less than maximal and the Dirac phase $\delta$ is
close to $\pi$. We derive the correlations among the mixing parameters and show
that there is a large cancellation in the effective mass responsible for
neutrinoless $\beta\beta$ decay. Three simple seesaw models leading to our
scenario are provided.


title:
Mesure de la similarit\'e entre termes et labels de concepts
  ontologiques

abstract:
  We propose in this paper a method for measuring the similarity between
ontological concepts and terms. Our metric can take into account not only the
common words of two strings to compare but also other features such as the
position of the words in these strings, or the number of deletion, insertion or
replacement of words required for the construction of one of the two strings
from each other. The proposed method was then used to determine the ontological
concepts which are equivalent to the terms that qualify toponymes. It aims to
find the topographical type of the toponyme.


title: A lower bound criterion for iterated commutators

abstract:
  We give a criterion on collections of Calderon-Zygmund operators to classify
product BMO by means of iterated commutators.


title: Pulse shaping with birefringent crystals: a tool for quantum metrology

abstract:
  A method for time differentiation based on a Babinet-Soleil-Bravais
compensator is introduced. The complex transfer function of the device is
measured using polarization spectral interferometry. Time differentiation of
both the pulse field and pulse envelope are demonstrated over a spectral width
of about 100 THz with a measured overlap with the objective mode greater than
99.8%. This pulse shaping technique is shown to be perfectly suited to time
metrology at the quantum limit.


title: F-Theory Compactifications with Multiple U(1)-Factors: Addendum

abstract:
  The purpose of this note is to extend the results obtained in
[arXiv:1303.6970] in two ways. First, the six-dimensional F-theory
compactifications with U(1) x U(1) gauge symmetry on elliptic Calabi-Yau
threefolds, constructed as a hypersurface in $dP_2$ fibered over the base
$B=\mathbb{P}^2$ [arXiv:1303.6970], are generalized to Calabi-Yau threefolds
elliptically fibered over an arbitrary two-dimensional base B. While the
representations of the matter hypermultiplets remain unchanged, their
multiplicities are calculated for an arbitrary B. Second, for a specific
non-generic subset of such Calabi-Yau threefolds we engineer SU(5) x U(1) x
U(1) gauge symmetry. We summarize the hypermultiplet matter representations,
which remain the same as for the choice of the base $B=\mathbb{P}^2$
[arXiv:1306.3987], and determine their multiplicities for an arbitrary B. We
also verify that the obtained spectra cancel anomalies both for U(1) x U(1) and
SU(5) x U(1) x U(1).


title: Exact relaxation for polynomial optimization on semi-algebraic sets

abstract:
  In this paper, we study the problem of computing by relaxation hierarchies
the infimum of a real polynomial function f on a closed basic semialgebraic set
and the points where this infimum is reached, if they exist. We show that when
the infimum is reached, a relaxation hierarchy constructed from the
Karush-Kuhn-Tucker ideal is always exact and that the vanishing ideal of the
KKT minimizer points is generated by the kernel of the associated moment matrix
in that degree, even if this ideal is not zero-dimensional. We also show that
this relaxation allows to detect when there is no KKT minimizer. We prove that
the exactness of the relaxation depends only on the real points which satisfy
these constraints.This exploits representations of positive polynomials as
elementsof the preordering modulo the KKT ideal, which only involves
polynomials in the initial set of variables. Applications to global
optimization, optimization on semialgebraic sets defined by regular sets of
constraints, optimization on finite semialgebraic sets, real radical
computation are given.


title:
A cubature based algorithm to solve decoupled McKean-Vlasov Forward
  Backward Stochastic Differential Equations

abstract:
  We propose a new algorithm to approach weakly the solution of a McKean-Vlasov
SDE. Based on the cubature method of Lyons and Victoir 2004, the algorithm is
deterministic differing from the the usual methods based on interacting
particles. It can be parametrized in order to obtain a given order of
convergence. Then, we construct implementable algorithms to solve decoupled
Forward Backward Stochastic Differential equations (FBSDE) of McKean-Vlasov
type, which appear in some stochastic control problems in a mean field
environment. We give two algorithms and show that they have convergence of
order one and two under appropriate regularity conditions.


title:
Sharp Hardy uncertainty principle and gaussian profiles of covariant
  Schr\"odinger evolutions

abstract:
  We prove a sharp version of the Hardy uncertainty principle for Schr\"odinger
equations with external bounded electromagnetic potentials, based on
logarithmic convexity properties of Schr\"odinger evolutions. We provide, in
addition, an example of a real electromagnetic potential which produces the
existence of solutions with critical gaussian decay, at two distinct times.


title: Generalized Wong sequences and their applications to Edmonds' problems

abstract:
  We design two deterministic polynomial time algorithms for variants of a
problem introduced by Edmonds in 1967: determine the rank of a matrix M whose
entries are homogeneous linear polynomials over the integers. Given a linear
subspace B of the n by n matrices over some field F, we consider the following
problems: symbolic matrix rank (SMR) is the problem to determine the maximum
rank among matrices in B, symbolic determinant identity testing (SDIT) is the
question to decide whether there exists a nonsingular matrix in B. The
constructive versions of these problems are asking to find a matrix of maximum
rank, respectively a nonsingular matrix, if there exists one.
  Our first algorithm solves the constructive SMR when B is spanned by unknown
rank one matrices, answering an open question of Gurvits. Our second algorithm
solves the constructive SDIT when B is spanned by triangularizable matrices,
but the triangularization is not given explicitly. Both algorithms work over
finite fields of size at least n+1 and over the rational numbers, and the first
algorithm actually solves (the non-constructive) SMR independently from the
field size. Our main tool to obtain these results is to generalize Wong
sequences, a classical method to deal with pairs of matrices, to the case of
pairs of matrix spaces.


title: Invariants topologiques des Espaces non commutatifs

abstract:
  In this thesis, we give a definition of topological K-theory of Kontsevich's
noncommutative spaces (ie dg-categories) defined over the complex. The main
motivation comes from noncommutative Hodge structures in the sense of
Kontsevich--Katzarkov--Pantev on the periodic cyclic homology of smooth and
proper dg-algebras. The essential ingredient in the definition is the
topological realization functor from presheaves of spectra on the site of
complex affine schemes to spectra. Topological K-theory is defined as the Bott
inverted topological realization of nonconnective algebraic K-theory. Using a
non-abelian generalization of Deligne's proper cohomological descent, we show
that the topological realization of the preaheave given by nonconnective
K-theory is the spectrum bu of connective topological K-theory. The other main
result deals with the relation between topological K-theory of a dg-category T
and the moduli stack of perfect modules over T^op. Moreover, topological
K-theory can be endowed with a Chern character map to periodic cyclic homology
which factorizes Cisinski--Tabuada Chern map. We give a comparison result for
smooth schemes of finite type over the complex and for finite dimensional
associative algebras.


title: The approximation to a fixed point

abstract:
  In a spherically complete ultrametric space, a strictly contracting mapping
has a fixed point. We indicate in this paper how this fixed point can either be
reached or approximated.


title: Agalma: an automated phylogenomics workflow

abstract:
  In the past decade, transcriptome data have become an important component of
many phylogenetic studies. Phylogenetic studies now regularly include genes
from newly sequenced transcriptomes, as well as publicly available
transcriptomes and genomes. Implementing such a phylogenomic study, however, is
computationally intensive, requires the coordinated use of many complex
software tools, and includes multiple steps for which no published tools exist.
Phylogenomic studies have therefore been manual or semiautomated. In addition
to taking considerable user time, this makes phylogenomic analyses difficult to
reproduce, compare, and extend. In addition, methodological improvements made
in the context of one study often cannot be easily applied and evaluated in the
context of other studies. We present Agalma, an automated tool that conducts
phylogenomic analyses. The user provides raw Illumina transcriptome data, and
Agalma produces annotated assemblies, aligned gene sequence matrices, a
preliminary phylogeny, and detailed diagnostics that allow the investigator to
make extensive assessments of intermediate analysis steps and the final
results. Sequences from other sources, such as externally assembled genomes and
transcriptomes, can also be incorporated in the analyses. Agalma tracks
provenance, profiles processor and memory use, records diagnostics, manages
metadata, and enables rich HTML reports for all stages of the analysis. Agalma
includes a test data set and a built-in test analysis of these data. In
addition to describing Agalma, we here present a sample analysis of a larger
seven-taxon data set. Agalma is available for download at
https://bitbucket.org/caseywdunn/agalma. Agalma allows complex phylogenomic
analyses to be implemented and described unambiguously as a series of
high-level commands. This will enable phylogenomic studies to be readily
reproduced, modified, and extended.


title:
Large deviation principles of one-dimensional maps for H\"{o}lder
  continuous potentials

abstract:
  We show some level-2 large deviation principles for real and complex
one-dimensional maps satisfying a weak form of hyperbolicity. More precisely,
we prove a large deviation principle for the distribution of iterated
preimages, periodic points, and Birkhoff averages.


title: Indirect Searches for Decaying Dark Matter

abstract:
  Numerous observations point towards the existence of an unknown elementary
particle with no electromagnetic interactions, a large population of which was
presumably produced in the early stages of the history of the Universe. This
so-called dark matter has survived until the present day, accounting for the
26% of the present energy budget of the Universe. It remains an open question
whether the particles comprising the dark matter are absolutely stable or
whether they have a finite but very long lifetime, which is a possibility since
there is no known general principle guaranteeing perfect stability. In this
article we review the observational limits on the lifetime of dark matter
particles with mass in the GeV-TeV range using observations of the cosmic
fluxes of antimatter, gamma-rays and neutrinos. We also examine some
theoretically motivated scenarios that provide decaying dark matter candidates.


title:
Une \'etude asymptotique probabiliste des coefficients d'une s\'erie
  enti\`ere

abstract:
  Following the ideas of Rosenbloom [7] and Hayman [5], Luis B\'aez-Duarte
gives in [1] a probabilistic proof of Hardy-Ramanujan's asymptotic formula for
the partitions of an integer. The main principle of the method relies on the
convergence in law of a family of random variables to a gaussian variable. In
our work we prove a theorem of the Liapounov type (Chung [2]) that justifies
this convergence. To obtain simple asymptotic formul{\ae} a condition of the
so-called strong Gaussian type defined by Luis B\'aez-Duarte is required; we
demonstrate this in a situation that make it possible to obtain a classical
asymptotic formula for the partitions of an integer with distinct parts
(Erd\"os-Lehner [4], Ingham [6]).


title:
Birth and death of links control disease spreading in empirical contact
  networks

abstract:
  We investigate what structural aspects of a collection of twelve empirical
temporal networks of human contacts are important to disease spreading. We scan
the entire parameter spaces of the two canonical models of infectious disease
epidemiology -- the Susceptible-Infectious-Susceptible (SIS) and
Susceptible-Infectious-Removed (SIR) models. The results from these simulations
are compared to reference data where we eliminate structures in the interevent
intervals, the time to the first contact in the data, or the time from the last
contact to the end of the sampling. The picture we find is that the birth and
death of links, and the total number of contacts over a link, are essential to
predict outbreaks. On the other hand, the exact times of contacts between the
beginning and end, or the interevent interval distribution, do not matter much.
In other words, a simplified picture of these empirical data sets that suffices
for epidemiological purposes is that links are born, is active with some
intensity, and die.


title:
Applications of the Beta Distribution Part 1: Transformation Group
  Approach

abstract:
  A transformation group approach to the prior for the parameters of the beta
distribution is suggested which accounts for finite sets of data by imposing a
limit to the range of parameter values under consideration. The relationship
between the beta distribution and the Poisson and gamma distributions in the
continuum is explored, with an emphasis on the decomposition of the model into
separate estimates for size and shape. Use of the beta distribution in
classification and prediction problems is discussed, and the effect of the
prior on the analysis of some well known examples from statistical genetics is
examined.


title: Area spectrum and thermodynamics of KS black holes in Ho\v{r}ava gravity

abstract:
  We investigate the area spectrum of Kehagias-Sfetsos black hole in
Ho\v{r}ava-Lifshitz gravity via modified adiabatic invariant $I=\oint p_i d
q_i$ and Bohr-Sommerfeld quantization rule. We find that the area spectrum is
equally spaced with a spacing of $ \Delta A=4 \pi l_p ^2$. We have also studied
the thermodynamic behavior of KS black hole by deriving different thermodynamic
quantities.


title:
Reducing graph subspaces and strong solutions to operator Riccati
  equations

abstract:
  The problem of block diagonalization for diagonally dominant symmetric block
operator matrices with self-adjoint diagonal entries is considered. We show
that a reasonable block diagonalization with respect to a reducing graph
subspace requires a related skew-symmetric operator to be a strong solution to
the associated Riccati equation. Under mild additional regularity conditions,
we also establish that this skew-symmetric operator is a strong solution to the
Riccati equation if and only if the graph subspace is reducing for the given
operator matrix. These regularity conditions are shown to be automatically
fulfilled whenever the corresponding relative bound of the off-diagonal part is
sufficiently small. This extends the results by Albeverio, Makarov, and
Motovilov in [Canad. J. Math. Vol. \textbf{55}, 2003, 449--503], where the
off-diagonal part is required to be bounded.


title:
Analytic combinatorics of chord and hyperchord diagrams with $k$
  crossings

abstract:
  Using methods from Analytic Combinatorics, we study the families of perfect
matchings, partitions, chord diagrams, and hyperchord diagrams on a disk with a
prescribed number of crossings. For each family, we express the generating
function of the configurations with exactly $k$ crossings as a rational
function of the generating function of crossing-free configurations. Using
these expressions, we study the singular behavior of these generating functions
and derive asymptotic results on the counting sequences of the configurations
with precisely $k$ crossings. Limiting distributions and random generators are
also studied.


title: A module structure over maximal consistent sets

abstract:
  It is shown the construction of a module structure [2] with universe over a
set of a particular kind of mathematical proofs, the base ring of this module
will be built on a maximal consistent extension of a set of propositions, this
provides the possibility to do some linear algebra on proofs. It will also be
presented an algorithmic proceeding in order to deal with these particular type
of deductions.


title:
On the Independence Jeffreys prior for skew--symmetric models with
  applications

abstract:
  We study the Jeffreys prior of the skewness parameter of a general class of
scalar skew--symmetric models. It is shown that this prior is symmetric about
0, proper, and with tails $O(\lambda^{-3/2})$ under mild regularity conditions.
We also calculate the independence Jeffreys prior for the case with unknown
location and scale parameters. Sufficient conditions for the existence of the
corresponding posterior distribution are investigated for the case when the
sampling model belongs to the family of skew--symmetric scale mixtures of
normal distributions. The usefulness of these results is illustrated using the
skew--logistic model and two applications with real data.


title: Clique numbers of graph unions

abstract:
  Let $B$ and $R$ be two simple graphs with vertex set $V$, and let $G(B,R)$ be
the simple graph with vertex set $V$, in which two vertices are adjacent if
they are adjacent in at least one of $B$ and $R$. For $X \subseteq V$, we
denote by $B|X$ the subgraph of $B$ induced by $X$; let $R|X$ and $G(B,R)|X$ be
defined similarly. We say that the pair $(B,R)$ is {\em additive} if for every
$X \subseteq V$, the sum of the clique numbers of $B|X$ and $R|X$ is at least
the clique number of $G(B,R)|X$. In this paper we give a necessary and
sufficient characterization of additive pairs of graphs. This is a numerical
variant of a structural question studied in \cite{ABC}.


title: Algorithmic solvability of the lifting-extension problem

abstract:
  Let $X$ and $Y$ be finite simplicial sets (e.g. finite simplicial complexes),
both equipped with a free simplicial action of a finite group $G$. Assuming
that $Y$ is $d$-connected and $\dim X\le 2d$, for some $d\geq 1$, we provide an
algorithm that computes the set of all equivariant homotopy classes of
equivariant continuous maps $|X|\to|Y|$; the existence of such a map can be
decided even for $\dim X\leq 2d+1$. For fixed $G$ and $d$, the algorithm runs
in polynomial time. This yields the first algorithm for deciding topological
embeddability of a $k$-dimensional finite simplicial complex into
$\mathbb{R}^n$ under the conditions $k\leq\frac 23 n-1$.
  More generally, we present an algorithm that, given a lifting-extension
problem satisfying an appropriate stability assumption, computes the set of all
homotopy classes of solutions. This result is new even in the non-equivariant
situation.


title: On the Rate Coding Response of Peripheral Sensory Neurons

abstract:
  The rate coding response of a single peripheral sensory neuron in the
asymptotic, near-equilibrium limit can be derived using information theory,
asymptotic Bayesian statistics and a theory of complex systems. Almost no
biological knowledge is required. The theoretical expression shows good
agreement with spike-frequency adaptation data across different sensory
modalities and animal species. The approach permits the discovery of a new
neurophysiological equation and shares similarities with statistical physics.


title: Integral population control of a quadratic dimerization process

abstract:
  Moment control of a simple quadratic reaction network describing a
dimerization process is addressed. It is shown that the moment closure problem
can be circumvented without invoking any moment closure technique. Local
stabilization and convergence of the average dimer population to any desired
reference value is ensured using a pure integral control law. Explicit bounds
on the controller gain are provided and shown to be valid for any reference
value. As a byproduct, an explicit upper-bound of the variance of the monomer
species, acting on the system as unknown input due to the moment openness, is
obtained. The obtained results are illustrated by an example relying on the
simulation of a cell population using stochastic simulation algorithms.


title:
Compactness theorems for SL(2;C) generalizations of the 4-dimensional
  anti-self dual equations

abstract:
  Uhlenbeck's compactness theorem can be used to analyze sequences of
connections with anti-self dual curvature on principal SU(2) bundles over
oriented 4-dimensional manifolds. The theorems in this paper give an extension
of Uhlenbeck's theorem for sequences of solutions of certain SL(2,C) analogs of
the anti-self dual equations.


title: Variational approach to the inhomogeneous chiral phase in quark matter

abstract:
  The inhomogeneous chiral phase is discussed in QCD at finite temperature
and/or density. We study the phase diagram on the density-temperature plane by
taking into account the effect of the current mass by a variational method. It
is demonstrated that our framework well describes the inhomogeneous phase over
the whole phase region.


title: Clusters, Halos, And S-Factors In Fermionic Molecular Dynamics

abstract:
  In Fermionic Molecular Dynamics antisymmetrized products of Gaussian wave
packets are projected on angular momentum, linear momentum, and parity. An
appropriately chosen set of these states span the many-body Hilbert space in
which the Hamiltonian is diagonalized. The wave packet parameters - position,
momentum, width and spin - are obtained by variation under constraints. The
great flexibility of this basis allows to describe not only shell-model like
states but also exotic states like halos, e.g. the two-proton halo in 17Ne, or
cluster states as they appear for example in 12C close to the \alpha-breakup
threshold where the Hoyle state is located. Even a fully microscopic
calculation of the 3He(\alpha,\gamma)7Be capture reaction is possible and
yields an astrophysical S-factor that compares very well with newer data. As
representatives of numerous results these cases will be discussed in this
contribution, some of them not published so far. The Hamiltonian is based on
the realistic Argonne V18 nucleon-nucleon interaction.


title:
Toward a Deterministic Model of Planetary Formation VII: Eccentricity
  Distribution of Gas Giants

abstract:
  The ubiquity of planets and diversity of planetary systems reveal planet
formation encompass many complex and competing processes. In this series of
papers, we develop and upgrade a population synthesis model as a tool to
identify the dominant physical effects and to calibrate the range of physical
conditions. Recent planet searches leads to the discovery of many
multiple-planet systems. Any theoretical models of their origins must take into
account dynamical interaction between emerging protoplanets. Here, we introduce
a prescription to approximate the close encounters between multiple planets. We
apply this method to simulate the growth, migration, and dynamical interaction
of planetary systems. Our models show that in relatively massive disks, several
gas giants and rocky/icy planets emerge, migrate, and undergo dynamical
instability. Secular perturbation between planets leads to orbital crossings,
eccentricity excitation, and planetary ejection. In disks with modest masses,
two or less gas giants form with multiple super-Earths. Orbital stability in
these systems is generally maintained and they retain the kinematic structure
after gas in their natal disks is depleted. These results reproduce the
observed planetary mass-eccentricity and semimajor axis-eccentricity
correlations. They also suggest that emerging gas giants can scatter residual
cores to the outer disk regions. Subsequent in situ gas accretion onto these
cores can lead to the formation of distant (> 30AU) gas giants with nearly
circular orbits.


title:
Compactness theorems for SL(2;C) generalizations of the 4-dimensional
  anti-self dual equations, Part II

abstract:
  This is the second of two papers that describe a compactness theorem for
sequences of solutions of certain SL(2;C) analogs of the anti-self dual
equations on oriented, 4-dimensional Riemannian manifolds. This paper proves
theorems that characterize the singular locus of limits of sequences of
solutions to the equations.


title: A new nonlinear generalization of the Dirac equation

abstract:
  We postulate a new nonlinear generalization of the Dirac equation for an
electron. Basic properties of the new equation are considered.


title: Flux avalanches in Nb superconducting shifted strip arrays

abstract:
  Flux penetrations into three-dimensional Nb superconducting strip arrays,
where two layers of strip arrays are stacked by shifting a half period, are
studied using a magneto-optical imaging method. Flux avalanches are observed
when the overlap between the top and bottom layers is large even if the width
of each strip is well below the threshold value. In addition, anomalous linear
avalanches perpendicular to the strip are observed in the shifted strip array
when the overlap is very large and the thickness of the superconductor is
greater than the penetration depth. We discuss possible origins for the flux
avalanches, including linear ones, by considering flux penetration calculated
by the Campbell method assuming the Bean model.


title:
GSC 02626-00896: an RR Lyrae star with a ceasing Blazhko effect and
  three new variables in the field

abstract:
  By analysis of Superwasp data, Srdoc and Bernhard (2012) have shown recently
that GSC 02626-00896 (18:09:30.34 + 32:45:13.52) is an RRc type variable
showing indications of Blazhko effect. A night by night reanalysis of the data
shows that in fact a 26 d secondary period is present in the 2004 observations.
However, no trace of this can be found in the 2007 and 2008 data. CCD
observations of the star on 19 nights in 2012 yielded a strictly repeating
light curve with a broad maximum similar to those derived from the second and
third SWASP data group. A slightly revised ephemeris Max.(HJD) =
2456069.3919(43) + 0.32272138(60) d x E could be derived. The CCD observations
also revealed three short period eclipsing variables in the field of GSC
02626-00896. The 15.16 R mag. GSC2.3 star N25F001920 (18:09:24.282
+32:44:51.72) shows 0.15 and 0.1 mag. shallow eclipses with the ephemeris
Max.(HJD) = 2456064.5155(13) + 0.389228(18) d x E. The 15.39 R mag. GSC 2.3
N25D013720 (18:09:41.141 +32:33:46.99) is a W UMa type star with the ephemeris
Min.(HJD) = 2456072.4354(4) + 0.393563(7) d x E and 0.45 mag. amplitude. The
16.13 R mag. GSC 2.3 N25D015132 (18:09:01.767 +32:36:53.59) is also a W UMa
type star with the ephemeris Min.(HJD) = 2456072.4909(2) + 0.287800(3) d x E
with an amplitude of 0.75 and 0.5 mag respectively.


title: Generalized Locker Problem

abstract:
  The Locker Problem is frequently used in introducing some topics in
elementary number theory like divisors and multiples. It appears in many
curricula ranging from elementary, secondary and up to tertiary level. In this
paper, I will provide the structure of the problem and algorithms in solving
some modified problems.


title:
Low energy canonical immersions into hyperbolic manifolds and standard
  spheres

abstract:
  We consider critical points of the functionals $\Pi$ and $\Psi$ defined as
the global $L^2$-norm of the second fundamental form and mean curvature vector
of isometric immersions of compact Riemannian manifolds into a background
Riemannian manifold, respectively, as functionals over the space of
deformations of the immersion. We prove gap theorems for these functionals into
hyperbolic manifolds, and show that the celebrated gap theorem for minimal
immersions into the sphere can be cast as a theorem about critical points of
these functionals of constant mean curvature function, and whose second
fundamental form is suitably small in relation to it. In this case, the various
type of minimal submanifolds that can occur at the pointwise upper bound on the
norm of the second fundamental form are realized by manifolds of nonnegative
Ricci curvature, and of these, the Einstein ones are distinguished from the
others by being those that are immersed on the sphere as critical points of
$\Pi$.


title: Adsorbed self-avoiding walks subject to a force

abstract:
  We consider a self-avoiding walk model of polymer adsorption where the
adsorbed polymer can be desorbed by the application of a force. In this paper
the force is applied normal to the surface at the last vertex of the walk. We
prove that the appropriate limiting free energy exists where there is an
applied force and a surface potential term, and prove that this free energy is
convex in appropriate variables. We then derive an expression for the limiting
free energy in terms of the free energy without a force and the free energy
with no surface interaction. Finally we show that there is a phase boundary
between the adsorbed phase and the desorbed phase in the presence of a force,
prove some qualitative properties of this boundary and derive bounds on the
location of the boundary.


title:
Distinguisher-Based Attacks on Public-Key Cryptosystems Using
  Reed-Solomon Codes

abstract:
  Because of their interesting algebraic properties, several authors promote
the use of generalized Reed-Solomon codes in cryptography. Niederreiter was the
first to suggest an instantiation of his cryptosystem with them but Sidelnikov
and Shestakov showed that this choice is insecure. Wieschebrink proposed a
variant of the McEliece cryptosystem which consists in concatenating a few
random columns to a generator matrix of a secretly chosen generalized
Reed-Solomon code. More recently, new schemes appeared which are the
homomorphic encryption scheme proposed by Bogdanov and Lee, and a variation of
the McEliece cryptosystem proposed by Baldi et \textit{al.} which hides the
generalized Reed-Solomon code by means of matrices of very low rank.
  In this work, we show how to mount key-recovery attacks against these
public-key encryption schemes. We use the concept of distinguisher which aims
at detecting a behavior different from the one that one would expect from a
random code. All the distinguishers we have built are based on the notion of
component-wise product of codes. It results in a powerful tool that is able to
recover the secret structure of codes when they are derived from generalized
Reed-Solomon codes. Lastly, we give an alternative to Sidelnikov and Shestakov
attack by building a filtration which enables to completely recover the support
and the non-zero scalars defining the secret generalized Reed-Solomon code.


title:
Distortion bounds and Two-Way Protocols for One-Shot Transmission of
  Correlated Random Variables

abstract:
  This paper provides lower bounds on the reconstruction error for transmission
of two continuous correlated random vectors sent over both sum and parallel
channels using the help of two causal feedback links from the decoder to the
encoders connected to each sensor. This construction is considered for both
uniformly and normally distributed sources with zero mean and unit variance.
Additionally, a two-way retransmission protocol, which is a non-coherent
adaptation of the original work by Yamamoto is introduced for an additive white
Gaussian noise channel with one degree of freedom. Furthermore, the novel
protocol of a single source is extended to the dual-source case again for two
different source distributions. Asymptotic optimality of the protocols are
analyzed and upper bounds on the distortion level are derived for two-rounds
considering two extreme cases of high and low correlation among the sources. It
is shown by both the upper and lower-bounds that collaboration can be achieved
through energy accumulation. Analytical results are supported by numerical
analysis for both the single and dual-source cases to show the improvement in
terms of distortion to be gained by retransmission subject to the average
energy used by protocol . To cover a more realistic scenario, the same protocol
of a single source is adapted to a wireless channel and their performances are
compared through numerical evaluation.


title: The 1-Jettiness event shape for DIS with NNLL resummation

abstract:
  We propose the use of 1-jettiness, a global event shape, for exclusive single
jet production in lepton-nucleus deep inelastic scattering (DIS). We derive a
factorization formula, using the Soft-Collinear Effective Theory, differential
in the transverse momentum and rapidity of the jet and the 1-jettiness event
shape. It provides a quantitative measure of the shape of the final-state QCD
radiation in the presence of the hard jet, providing a useful powerful probe of
QCD and nuclear physics. For example, one expects differences in the observed
pattern of QCD radiation between large and small nuclei and these can be
quantified by the 1-jettiness event shape. Numerical results are given for this
new DIS event shape at leading twist with resummation at the
next-to-next-to-leading logarithmic (NNLL) level of accuracy, for a variety of
nuclear targets. Such studies would be ideal at a future EIC or LHeC
electron-ion collider, where a range of nuclear targets are planned.


title:
Improved sensitivity of H.E.S.S.-II through the fifth telescope focus
  system

abstract:
  The Imaging Atmospheric Cherenkov Telescope (IACT) works by imaging the very
short flash of Cherenkov radiation generated by the cascade of relativistic
charged particles produced when a TeV gamma ray strikes the atmosphere. This
energetic air shower is initiated at an altitude of 10-30 km depending on the
energy and the arrival direction of the primary gamma ray. Whether the best
image of the shower is obtained by focusing the telescope at infinity and
measuring the Cherenkov photon angles or focusing on the central region of the
shower is a not obvious question. This is particularly true for large size IACT
for which the depth of the field is much smaller. We address this issue in
particular with the fifth telescope (CT5) of the High Energy Stereoscopic
System (H.E.S.S.); a 28 m dish large size telescope recently entered in
operation and sensitive to an energy threshold of tens of GeVs. CT5 is equipped
with a focus system, its working principle and the expected effect of focusing
depth on the telescope sensitivity at low energies (50-200 GeV) is discussed.


title: AliBI: An Alignment-Based Index for Genomic Datasets

abstract:
  With current hardware and software, a standard computer can now hold in RAM
an index for approximate pattern matching on about half a dozen human genomes.
Sequencing technologies have improved so quickly, however, that scientists will
soon demand indexes for thousands of genomes. Whereas most researchers who have
addressed this problem have proposed completely new kinds of indexes, we
recently described a simple technique that scales standard indexes to work on
more genomes. Our main idea was to filter the dataset with LZ77, build a
standard index for the filtered file, and then create a hybrid of that standard
index and an LZ77-based index. In this paper we describe how to our technique
to use alignments instead of LZ77, in order to simplify and speed up both
preprocessing and random access.


title:
Explicitly correlated plane waves: Accelerating convergence in periodic
  wavefunction expansions

abstract:
  We present an investigation into the use of an explicitly correlated plane
wave basis for periodic wavefunction expansions at the level of second-order
M{\o}ller-Plesset perturbation theory (MP2). The convergence of the electronic
correlation energy with respect to the one-electron basis set is investigated
and compared to conventional MP2 theory in a finite homogeneous electron gas
model. In addition to the widely used Slater-type geminal correlation factor,
we also derive and investigate a novel correlation factor that we term
Yukawa-Coulomb. The Yukawa-Coulomb correlation factor is motivated by analytic
results for two electrons in a box and allows for a further improved
convergence of the correlation energies with respect to the employed basis set.
We find the combination of the infinitely delocalized plane waves and local
short-ranged geminals provides a complementary, and rapidly convergent basis
for the description of periodic wavefunctions. We hope that this approach will
expand the scope of discrete wavefunction expansions in periodic systems.

categories: physics.comp-ph cond-mat.quant-gas cond-mat.str-el physics.chem-ph


title:
An approach without using Hardy inequality for the linear heat equation
  with singular potential

abstract:
  The aim of this paper is to employ a strategy known from fluid dynamics in
order to provide results for the linear heat equation $u_{t}-\Delta u-V(x)u=0$
in $\mathbb{R}^{n}$ with singular potentials. We show well-posedness of
solutions, without using Hardy inequality, in a framework based in the Fourier
transform, namely $PM^{k}$-spaces. For arbitrary data $u_{0}\in PM^{k}$, the
approach allows to compute an explicit smallness condition on $V$ for global
existence in the case of $V$ with finitely many inverse square singularities.
As a consequence, well-posedness of solutions is obtained for the case of the
monopolar potential $V(x)=\frac{\lambda}{\left|x\right|^{2}}$ with
$\left|\lambda\right|<\lambda_{\ast}=\frac{(n-2)^{2}}{4}$. This threshold value
is the same one obtained for the global well-posedness of $L^{2}$-solutions by
means of Hardy inequalities and energy estimates. Since there is no any
inclusion relation between $L^{2}$ and $PM^{k}$, our results indicate that
$\lambda_{\ast}$ is intrinsic of the PDE and independent of a particular
approach. We also analyze the long time behavior of solutions and show there
are infinitely many possible asymptotics characterized by the cells of a
disjoint partition of the initial data class $PM^{k}$.


title: Cyclotrons as Drivers for Precision Neutrino Measurements

abstract:
  As we enter the age of precision measurement in neutrino physics, improved
flux sources are required. These must have a well-defined flavor content with
energies in ranges where backgrounds are low and cross section knowledge is
high. Very few sources of neutrinos can meet these requirements. However,
pion/muon and isotope decay-at-rest sources qualify. The ideal drivers for
decay-at-rest sources are cyclotron accelerators, which are compact and
relatively inexpensive. This paper describes a scheme to produce decay-at-rest
sources driven by such cyclotrons, developed within the DAEdALUS program.
Examples of the value of the high precision beams for pursuing Beyond Standard
Model interactions are reviewed. New results on a combined DAEdALUS--Hyper-K
search for CP-violation that achieve errors on the mixing matrix parameter of 4
degrees to 12 degrees are presented.


title: Connecting active and passive microrheology in living cells

abstract:
  We use a model based on the fractional Langevin equation with external noise
to describe the anomalous dynamics observed in microrheology experiments in
living cells. This model reproduces both the subdiffusive short-time and the
superdiffusive long-time behavior. We show that the former reflects the
equilibrium properties of the cell, while the latter is due to the
nonequilibrium external noise. This allows to infer the transport properties of
the system under active measurements from the transient behavior obtained from
passive measurements, extending the connection between active and passive
microrheology to the nonequilibrium regime. The active and passive results can
be linked via a generalized Stokes-Einstein relation based on an effective
time-dependent temperature, which can be determined from the transient passive
behavior. In order to reproduce experimental data, we further find that the
external noise describing the active components of the cell has to be
nonstationary. We establish that the latter leads to a time-dependent noise
spectral density.


title: Rotational bands in the continuum illustrated by $^{8}$Be results

abstract:
  We use the two-alpha cluster model to describe the properties of $^{8}$Be.
The rotational energy sequence of the $(0^+,2^+,4^+)$ resonances are reproduced
with the complex energy scaling technique for Ali-Bodmer and Buck-potentials.
However, both static and transition probabilities are far from the rotational
values. We trace this observation to the prominent continuum properties of the
$2^+$ and $4^+$ resonances. They resemble free continuum solutions although
still exhibiting strong collective rotational character. We compare with
cluster models and discuss concepts of rotations in the continuum in connection
with central quantities as transition probabilities, inelastic cross sections
and resonance widths. We compute the $6^+$ and $8^+$ $S$-matrix poles and
discuss properties of this possible continuation of the band beyond the known
$4^+$ state. Regularization of diverging quantities are discussed in order to
extract observable continuum properties. We formulate division of
electromagnetic transition probabilities into interfering contributions from
resonance-resonance, continuum-resonance, resonance-continuum, and
continuum-continuum transitions.


title:
Abstract Geometrical Computation 8: Small Machines, Accumulations and
  Rationality

abstract:
  In the context of abstract geometrical computation, computing with colored
line segments, we study the possibility of having an accumulation with small
signal machines, ie, signal machines having only a very limited number of
distinct speeds. The cases of 2 and 4 speeds are trivial: we provide a proof
that no machine can produce an accumulation in the case of 2 speeds and exhibit
an accumulation with 4 speeds. The main result is the twofold case of 3 speeds.
On the one hand, we prove that accumulations cannot happen when all ratios
between speeds and all ratios between initial distances are rational. On the
other hand, we provide examples of an accumulation in the case of an irrational
ratio between 2 speeds and in the case of an irrational ratio between two
distances in the initial configuration. This dichotomy is explained by the
presence of a phenomenon computing Euclid's algorithm (gcd): it stops if and
only if its input is commensurate (ie, of rational ratio).


title: Invariants and conjugacy classes of triangular polynomial maps

abstract:
  In this article, we classify invariants and conjugacy classes of triangular
polynomial maps. We make these classifications in dimension 2 over domains
containing $\Q$, dimension 2 over fields of characteristic $p$, and dimension 3
over fields of characteristic zero. We discuss the generic characteristic 0
case. We determine the invariants and conjugacy classes of strictly triangular
maps of maximal order in all dimensions over fields of characteristic $p$. They
turn out to be equivalent to a map of the form $(x_1+f_1,\ldots,x_n+f_n)$ where
$f_i\in x_n^{p-1}k[x_{i+1}^p,\ldots,x_n^p]$ if $1\leq i\leq n-1$ and $f_n\in
k^*$.


title:
Refined Error Estimates for the Riccati Equation with Applications to
  the Angular Teukolsky Equation

abstract:
  We derive refined rigorous error estimates for approximate solutions of
Sturm-Liouville and Riccati equations with real or complex potentials. The
approximate solutions include WKB approximations, Airy and parabolic cylinder
functions, and certain Bessel functions. Our estimates are applied to solutions
of the angular Teukolsky equation with a complex aspherical parameter in a
rotating black hole Kerr geometry.


title: Elasticity of DNA and the effect of Dendrimer Binding

abstract:
  Negatively charged DNA can be compacted by positively charged dendrimers and
the degree of compaction is a delicate balance between the strength of the
electrostatic interaction and the elasticity of DNA. We report various elastic
properties of short double stranded DNA (dsDNA) and the effect of dendrimer
binding using fully atomistic molecular dynamics and numerical simulations. In
equilibrium at room temperature, the contour length distribution P(L) and
end-to-end distance distribution P(R) are nearly Gaussian, the former gives an
estimate of the stretch modulus {\gamma}_1 of dsDNA in quantitative agreement
with the literature value. The bend angle distribution P({\theta}) of the dsDNA
also has a Gaussian form and allows to extract a persistence length, L_p of 43
nm. When the dsDNA is compacted by positively charged dendrimer, the stretch
modulus stays invariant but the effective bending rigidity estimated from the
end-to-end distance distribution decreases dramatically due to backbone charge
neutralization of dsDNA by dendrimer. We support our observations with
numerical solutions of the worm-like-chain (WLC) model as well as using
non-equilibrium dsDNA stretching simulations. These results are helpful in
understanding the dsDNA elasticity at short length scales as well as how the
elasticity is modulated when dsDNA binds to a charged object such as a
dendrimer or protein.


title:
Order, intermittency and pressure fluctuations in a system of
  proliferating rods

abstract:
  Non-motile elongated bacteria confined in two-dimensional open micro-channels
can exhibit collective motion and form dense monolayers with nematic order if
the cells proliferate, i.e., grow and divide. Using soft molecular dynamics
simulations of a system of rods interacting through short range mechanical
forces, we study the effects of the cell growth rate, the cell aspect ratio and
of the sliding friction on nematic ordering and on pressure fluctuations in
confined environments. Our results indicate that rods with aspect ratio >3.0
reach quasi-perfect nematic states at low sliding friction. At higher
frictions, the global nematic order parameter shows intermittent fluctuations
due to sudden losses of order and the time intervals between these bursts are
power-law distributed. The pressure transverse to the channel axis can vary
abruptly in time and shows hysteresis due to lateral crowding effects. The
longitudinal pressure field is on average correlated to nematic order, but it
is locally very heterogeneous and its distribution follows an inverse
power-law, in sharp contrast with non-active granular systems. We discuss some
implications of these findings for tissue growth.


title: High resolution radio emission from RCW 49/Westerlund 2

abstract:
  RCW49 and its ionizing cluster form an extensive, complex region, widely
studied at IR and optical wavelengths. Molonglo 843 MHz and ATCA data at 1.4
and 2.4 GHz showed two shells. Recent high-resolution IR imaging revealed a
complex dust structure and ongoing star formation. New high-bandwidth and
high-resolution data of the RCW49 field were obtained to survey the radio
emission at arcsec scale and investigate the small-scale features and nature of
the HII region.- Data were collected with the new 2-GHz bandwidth receivers and
the CABB correlator of the ATCA, at 5.5 and 9.0 GHz. In addition, archival
observations at 1.4 and 2.4 GHz have been re-reduced and re-analyzed, together
with optical, IR, X-ray, and gamma-ray observations.- The CABB data result in
the most detailed radio continuum images of RCW49 to date. The radio emission
closely mimics the near-IR emission observed by Spitzer, showing pillars and
filaments. The brightest continuum emission comes from the region known as the
bridge. The overall flattish spectral index is consistent with a free-free
emission mechanism. However, hints of nonthermal components are also present in
the bridge. A jet-like structure surrounded by a bubble feature whose nature is
still unclear has been discovered close to the Westerlund~2 core. Two apparent
bow shocks and a number of discrete sources have been detected as well in the
surroundings of RCW49. We also report on and discuss the possible detection of
a H RRL.- The radio results support an association between the cm continuum and
molecular emission. The detection of the RRL kinematically favors a RCW49
distance of 6--7 kpc. If the negative spectral indices measured at the bridge
are caused by synchrotron emission, we propose a scenario where high-energy
emission could be produced. Finally, the newly discovered jet-like structure
appears to deserve a detailed study by itself.


title: Quantum-Information Processing with Hybrid Spin-Photon Qubit Encoding

abstract:
  We introduce a scheme to perform quantum-information processing that is based
on a hybrid spin-photon qubit encoding. The proposed qubits consist of
spin-ensembles coherently coupled to microwave photons in coplanar waveguide
resonators. The quantum gates are performed solely by shifting the resonance
frequencies of the resonators on a ns timescale. An additional cavity
containing a Cooper-pair box is exploited as an auxiliary degree of freedom to
implement two-qubit gates. The generality of the scheme allows its potential
implementation with a wide class of spin systems.


title:
On 'Bell violation using entangled photons without the fair-sampling
  assumption'

abstract:
  A recent experiment presented, for photons, the first violation of a Bell
inequality closing the fair-sampling loophole, i.e., without having to assume
that the sample of measured photons fairly represents the entire ensemble. In
this note, we discuss a detailed quantum mechanical model for the experimental
data. Within experimental error the experiment agrees with quantum mechanical
prediction. We also discuss the effects of drifting laser intensity and show
that it could not have mimicked a violation of the Bell inequality. Therefore,
the experiment was immune to the "production-rate loophole."


title:
Rigid Body Localization Using Sensor Networks: Position and Orientation
  Estimation

abstract:
  In this paper, we propose a novel framework called rigid body localization
for joint position and orientation estimation of a rigid body. We consider a
setup in which a few sensors are mounted on a rigid body. The absolute position
of the sensors on the rigid body, or the absolute position of the rigid body
itself is not known. However, we know how the sensors are mounted on the rigid
body, i.e., the sensor topology is known. Using range-only measurements between
the sensors and a few anchors (nodes with known absolute positions), and
without using any inertial measurements (e.g., accelerometers), we estimate the
position and orientation of the rigid body. For this purpose, the absolute
position of the sensors is expressed as an affine function of the Stiefel
manifold. In other words, we represent the orientation as a rotation matrix,
and absolute position as a translation vector. We propose a least-squares (LS),
simplified unitarily constrained LS (SUC-LS), and optimal unitarily constrained
least-squares (OUC-LS) estimator, where the latter is based on Newton's method.
As a benchmark, we derive a unitarily constrained Cram\'er-Rao bound (UC-CRB).
The known topology of the sensors can sometimes be perturbed during
fabrication. To take these perturbations into account, a simplified unitarily
constrained total-least-squares (SUC-TLS), and an optimal unitarily constrained
total-least-squares (OUC-TLS) estimator are also proposed.


title:
On construction and analysis of sparse random matrices and expander
  graphs with applications to compressed sensing

abstract:
  We revisit the probabilistic construction of sparse random matrices where
each column has a fixed number of nonzeros whose row indices are drawn
uniformly at random. These matrices have a one-to-one correspondence with the
adjacency matrices of lossless expander graphs. We present tail bounds on the
probability that the cardinality of the set of neighbors for these graphs will
be less than the expected value. The bounds are derived through the analysis of
collisions in unions of sets using a {\em dyadic splitting} technique. This
analysis led to the derivation of better constants that allow for quantitative
theorems on existence of lossless expander graphs and hence the sparse random
matrices we consider and also quantitative compressed sensing sampling theorems
when using sparse non mean-zero measurement matrices.


title: On the Sato-Tate conjecture for non-generic abelian surfaces

abstract:
  We prove many non-generic cases of the Sato-Tate conjecture for abelian
surfaces as formulated by Fite, Kedlaya, Rotger and Sutherland, using the
potential automorphy theorems of Barnet-Lamb, Gee, Geraghty and Taylor.


title:
Measurement of magnetization using domain compressibility in CoFeB films
  with perpendicular anisotropy

abstract:
  We present a method to map the saturation magnetization of soft ultrathin
films with perpendicular anisotropy, and we illustrate it to assess the
compositional dependence of the magnetization of CoFeB(1 nm)/MgO films. The
method relies on the measurement of the dipolar repulsion of parallel domain
walls that define a linear domain. The film magnetization is linked to the
field compressibility of the domain. The method also yields the minimal
distance between two walls before their merging, which sets a practical limit
to the storage density in spintronic devices using domain walls as storage
entities.


title: Scalar Dark Matter Models with Significant Internal Bremsstrahlung

abstract:
  There has been interest recently on particle physics models that may give
rise to sharp gamma ray spectral features from dark matter annihilation.
Because dark matter is supposed to be electrically neutral, it is challenging
to build weakly interacting massive particle models that may accommodate both a
large cross section into gamma rays at, say, the Galactic center, and the right
dark matter abundance. In this work, we consider the gamma ray signatures of a
class of scalar dark matter models that interact with Standard Model dominantly
through heavy vector-like fermions (the vector-like portal). We focus on a real
scalar singlet S annihilating into lepton-antilepton pairs. Because this
two-body final-state annihilation channel is d-wave suppressed in the chiral
limit, we show that virtual internal bremsstrahlung emission of a gamma ray
gives a large correction, both today and at the time of freeze-out. For the
sake of comparison, we confront this scenario to the familiar case of a
Majorana singlet annihilating into light lepton-antilepton pairs, and show that
the virtual internal bremsstrahlung signal may be enhanced by a factor of (up
to) two orders of magnitude. We discuss the scope and possible generalizations
of the model.


title:
Phase transitions in 2D $J_{1}-J_{2}$ model with arbitrary signs of
  exchange interactions

abstract:
  The ground state of the $S=1/2$ $J_{1}-J_{1}$ Heisenberg model on the 2D
square lattice with arbitrary signs of exchange constants is considered. States
with different spin long-range order types (antiferromagnetic checkerboard,
stripe, collinear ferromagnetic) as well as disordered spin-liquid states are
described in the frames of one and the same analytical approach. It is shown
inter alia, that the phase transition between ferromagnetic spin liquid and
long-range order ferromagnet is a second-order one. On the ordered side of the
transition the ferromagnetic state with rapidly varying condensate function is
detected.


title: Parabolic power concavity and parabolic boundary value problems

abstract:
  This paper is concerned with power concavity properties of the solution to
the parabolic boundary value problem \begin{equation} \tag{$P$}
\left\{\begin{array}{ll} \partial_t u=\Delta u +f(x,t,u,\nabla u) &
\mbox{in}\quad\Omega\times(0,\infty),\vspace{3pt}\\ u(x,t)=0 &
\mbox{on}\quad\partial \Omega\times(0,\infty),\vspace{3pt}\\ u(x,0)=0 &
\mbox{in}\quad\Omega, \end{array} \right. \end{equation} where $\Omega$ is a
bounded convex domain in ${\bf R}^n$ and $f$ is a nonnegative continuous
function in $\Omega\times(0,\infty)\times{\bf R}\times{\bf R}^n$. We give a
sufficient condition for the solution of $(P)$ to be parabolically power
concave in $\bar{\Omega}\times[0,\infty)$.


title:
A census of transient orbital resonances encountered during binary
  inspiral

abstract:
  Transient orbital resonances have recently been identified as potentially
important to the inspiral of small bodies into large black holes. These
resonances occur as the inspiral evolves through moments in which two
fundamental orbital frequencies, $\Omega_\theta$ and $\Omega_r$, are in a small
integer ratio to one another. Previous work has demonstrated that a binary's
parameters are "kicked" each time the inspiral passes through a resonance,
changing the orbit's characteristics relative to a model that neglects resonant
effects. In this paper, we use exact Kerr geodesics coupled to an accurate but
approximate model of inspiral to survey orbital parameter space and estimate
how commonly one encounters long-lived orbital resonances. We find that the
most important resonances last for a few hundred orbital cycles at mass ratio
$10^{-6}$, and that resonances are almost certain to occur during the time that
a large mass ratio binary would be a target of gravitational-wave observations.
Resonances appear to be ubiquitous in large mass ratio inspiral, and to last
long enough that they are likely to affect binary evolution in observationally
important ways.


title:
Wellposedness for stochastic continuity equations with
  Ladyzhenskaya-Prodi-Serrin condition

abstract:
  We consider the stochastic divergence-free continuity equations with
Ladyzhenskaya-Prodi-Serrin condition. Wellposedness is proved meanwhile
uniqueness may fail for the deterministic PDE. The main issue of uniqueness
realies on stochastic characteristic method and the generalized
Ito-Ventzel-Kunita formula. Moreover, we prove a stability property for the
solution with respect to the initial datum.


title: Classical r-matrices via semidualisation

abstract:
  We study the interplay between double cross sum decompositions of a given Lie
algebra and classical r-matrices for its semidual. For a class of Lie algebras
which can be obtained by a process of generalised complexification we derive an
expression for classical r-matrices of the semidual Lie bialgebra in terms of
the data which determines the decomposition of the original Lie algebra.
Applied to the local isometry Lie algebras arising in three-dimensional
gravity, decomposition and semidualisation yields the main class of non-trivial
r-matrices for the Euclidean and Poincare group in three dimensions. In
addition, the construction links the r-matrices with the Bianchi classification
of three dimensional real Lie algebras.


title:
CVA for Bilateral Counterparty Risk under Alternative Settlement
  Conventions

abstract:
  We depart from the usual methods for pricing contracts with the counterparty
credit risk found in most of the existing literature. In effect, typically,
these models do not account for either systemic effects or at-first-default
contagion and postulate that the contract value at default equals either the
risk-free value or the pre-default value. We propose instead a fairly general
framework, which allows us to perform effective Credit Value Adjustment (CVA)
computations for a contract with bilateral counterparty risk in the presence of
systemic and wrong or right way risks. Our general methodology focuses on the
role of alternative settlement clauses, but it is also aimed to cover various
features of margin agreements. A comparative analysis of numerical results
reported in the final section supports our initial conjecture that alternative
specifications of settlement values have a non-negligible impact on the CVA
computation for contracts with bilateral counterparty risk. This emphasizes the
practical importance of more sophisticated models that are capable of fully
reflecting the actual features of financial contracts, as well as the influence
of the market environment.


title: The Robinson-Schensted Correspondence and $A_2$-web Bases

abstract:
  We study natural bases for two constructions of the irreducible
representation of the symmetric group corresponding to $[n,n,n]$: the {\em
reduced web} basis associated to Kuperberg's combinatorial description of the
spider category; and the {\em left cell basis} for the left cell construction
of Kazhdan and Lusztig. In the case of $[n,n]$, the spider category is the
Temperley-Lieb category; reduced webs correspond to planar matchings, which are
equivalent to left cell bases. This paper compares the images of these bases
under classical maps: the {\em Robinson-Schensted algorithm} between
permutations and Young tableaux and {\em Khovanov-Kuperberg's bijection}
between Young tableaux and reduced webs.
  One main result uses Vogan's generalized $\tau$-invariant to uncover a close
structural relationship between the web basis and the left cell basis.
Intuitively, generalized $\tau$-invariants refine the data of the inversion set
of a permutation. We define generalized $\tau$-invariants intrinsically for
Kazhdan-Lusztig left cell basis elements and for webs. We then show that the
generalized $\tau$-invariant is preserved by these classical maps. Thus, our
result allows one to interpret Khovanov-Kuperberg's bijection as an analogue of
the Robinson-Schensted correspondence.
  Despite all of this, our second main result proves that the reduced web and
left cell bases are inequivalent; that is, these bijections are not
$S_{3n}$-equivariant maps.


title:
From Physics Model to Results: An Optimizing Framework for
  Cross-Architecture Code Generation

abstract:
  Starting from a high-level problem description in terms of partial
differential equations using abstract tensor notation, the Chemora framework
discretizes, optimizes, and generates complete high performance codes for a
wide range of compute architectures. Chemora extends the capabilities of
Cactus, facilitating the usage of large-scale CPU/GPU systems in an efficient
manner for complex applications, without low-level code tuning. Chemora
achieves parallelism through MPI and multi-threading, combining OpenMP and
CUDA. Optimizations include high-level code transformations, efficient loop
traversal strategies, dynamically selected data and instruction cache usage
strategies, and JIT compilation of GPU code tailored to the problem
characteristics. The discretization is based on higher-order finite differences
on multi-block domains. Chemora's capabilities are demonstrated by simulations
of black hole collisions. This problem provides an acid test of the framework,
as the Einstein equations contain hundreds of variables and thousands of terms.


title: The Real-Time Analysis of the Cherenkov Telescope Array Observatory

abstract:
  The Cherenkov Telescope Array (CTA) Observatory must be capable of issuing
fast alerts on variable and transient sources to maximize the scientific
return. This will be accomplished by means of a Real-Time Analysis (RTA)
pipeline, a key system of the CTA observatory. The latency and sensitivity
requirements of the alarm system impose a challenge because of the large
foreseen data flow rate, between 0.5 and 8 GB/s. As a consequence, substantial
efforts toward the optimization of this high-throughput computing service are
envisaged, with the additional constraint that the RTA should be performed
on-site (as part of the auxiliary infrastructure of the telescopes). In this
work, the functional design of the RTA pipeline is presented.


title: Counting Tensor Model Observables and Branched Covers of the 2-Sphere

abstract:
  Lattice gauge theories of permutation groups with a simple topological action
(henceforth permutation-TFTs) have recently found several applications in the
combinatorics of quantum field theories (QFTs). They have been used to solve
counting problems of Feynman graphs in QFTs and ribbon graphs of large $N$,
often revealing inter-relations between different counting problems. In another
recent development, tensor theories generalizing matrix theories have been
actively developed as models of random geometry in three or more dimensions.
Here, we apply permutation-TFT methods to count gauge invariants for tensor
models (colored as well as non-colored), exhibiting a relationship with
counting problems of branched covers of the 2-sphere, where the rank $d$ of the
tensor gets related to a number of branch points. We give explicit generating
functions for the relevant counting and describe algorithms for the enumeration
of the invariants. As well as the classic count of Hurwitz equivalence classes
of branched covers with fixed branch points, collecting these under an
equivalence of permuting the branch points is relevant to the color-symmetrized
tensor invariant counting. We also apply the permutation-TFT methods to obtain
some formulae for correlators of the tensor model invariants.


title: Milnor and Tjurina numbers for smoothings of surface singularities

abstract:
  For an isolated hypersurface singularity $f=0$, the Milnor number $\mu$ is
greater than or equal to the Tjurina number $\tau$ (the dimension of the base
of the semi-universal deformation), with equality if $f$ is quasi-homogeneous.
K. Saito proved the converse. The same result is true for complete
intersections, but is much harder. For a Gorenstein surface singularity
$(V,0)$, the difference $\mu - \tau$ can be defined whether or not $V$ is
smoothable; it was proved in [23] that it is non-negative, and equal to 0 iff
$(V,0)$ is quasi-homogeneous. We conjecture a similar result for non-Gorenstein
surface singularities. Here, $\mu - \tau$ must be modified so that it is
independent of any smoothing. This expression, involving cohomology of exterior
powers of the bundle of logarithmic derivations on the minimal good resolution,
is conjecturally non-negative, and equal to 0 iff one has quasi-homogeneity. We
prove the "if" part; identify special cases where the conjecture is
particularly interesting; verify it in some non-trivial cases; and prove it for
a $\Q$Gorenstein smoothing when the index one cover is a hypersurface. This
conjecture is of interest regarding the classification of surface singularities
with rational homology disk smoothings, as in [1], [18], [24].


title:
High-dynamic-range imaging of nanoscale magnetic fields using optimal
  control of a single qubit

abstract:
  We present a novel spectroscopy protocol based on optimal control of a single
quantum system. It enables measurements with quantum-limited sensitivity
(\eta_\omega ~ 1/sqrt(T_2^*),T_2^* denoting the system's coherence time) but
has an orders of magnitude larger dynamic range than pulsed spectroscopy
methods previously employed for this task. We employ this protocol to image
nanoscale magnetic fields with a single scanning NV center in diamond. Here,
our scheme enables quantitative imaging of a strongly inhomogeneous field in a
single scan without closed-loop control, which has previously been necessary to
achieve this goal.


title: A quantum optical valve in a nonlinear-linear resonator junction

abstract:
  Electronic diodes, which enable the rectification of an electrical energy
flux, have played a crucial role in the development of current microelectronics
after the invention of semiconductor p-n junctions. Analogously, signal
rectification at specific target wavelengths has recently become a key goal in
optical communication and signal processing. Here we propose a genuinely
quantum device with the essential rectifying features being demonstrated in a
general model of a nonlinear-linear junction of coupled resonators. It is shown
that such a surprisingly simple structure is a versatile valve and may be
alternatively tuned to behave as: a photonic diode, a single or two-photon
rectified source turning a classical input into a quantum output depending on
the input frequency, or a quantum photonic splitter. Given the relevance of
non-reciprocal operations in integrated circuits, the nonlinear-linear junction
realises a crucial building component in prospective quantum photonic
applications.


title:
Comparing the observed properties of the GRBs detected by the Fermi and
  Swift satellites

abstract:
  We studied the distribution of the GRBs, observed by the Fermi satellite, in
the multidimensional parameter space consisting of the duration, Fluence, Peak
flux and Peak energy (if it was available). About 10% of the Fermi bursts was
observed also by the Swift satellite. We did not find significant differences
between the Peak flux and Peak energy of GRBs observed and not observed also by
the Swift satellite. In contrast, those GRBs detected also by the Swift
satellite had significantly greater Fluence and duration. We did a similar
study for the GRBs detected by the Swift satellite. About 30% percent of these
bursts was also measured by the Fermi satellite. We found a significant
difference in the Fluence, Peak flux and Photon index but none in duration.
These differences may be accounted for the different construction and observing
strategy of the Fermi and Swift satellites.


title:
On turbulence: deciphering a renormalization flow out of an elliptic
  curve, II

abstract:
  Reaching for a better understanding of turbulence, a line of investigation
was followed, its main presupposition being that each scale dependent state, in
a general renormalization flow, is a state that can be modeled using a class of
ninth degree polynomials. These polynomials are deduced from the Weierstrass
models of a certain kind of elliptic curves. As the consequences of this
presupposition unfolded, leading to the numerical study of a few samples of
elliptic curves, the L functions associated with these later were considered.
Their bifurcation diagrams were observed and their escape rates were
determined. The consistency of such an approach was put to a statistical test,
measuring the rank correlation between escape rates and values taken by these L
functions on the point z=1+0i. In the most significant case, the rank
correlation coefficient found, r_s, was about r_s=-0.78, with an associated
p-value of an order of magnitude close to the (-69) power of 10.


title:
Universal localisations and tilting modules for finite dimensional
  algebras

abstract:
  We study universal localisations, in the sense of Cohn and Schofield, for
finite dimensional algebras and classify them by certain subcategories of our
initial module category. A complete classification is presented in the
hereditary case as well as for Nakayama algebras and local algebras.
Furthermore, for hereditary algebras, we establish a correspondence between
finite dimensional universal localisations and finitely generated support
tilting modules. In the Nakayama case, we get a similar result using
$\tau$-tilting modules, which were recently introduced by Adachi, Iyama and
Reiten.


title:
The Heine-Stieltjes correspondence and a new angular momentum projection
  for many-particle systems

abstract:
  A new angular momentum projection for systems of particles with arbitrary
spins is formulated based on the Heine-Stieltjes correspondence, which can be
regarded as the solutions of the mean-field plus pairing model in the strong
pairing interaction G ->Infinity limit. Properties of the Stieltjes zeros of
the extended Heine-Stieltjes polynomials, of which the roots determine the
projected states, and the related Van Vleck zeros are discussed. The
electrostatic interpretation of these zeros is presented. As examples,
applications to n nonidentical particles of spin-1/2 and to identical bosons or
fermions are made to elucidate the procedure and properties of the Stieltjes
zeros and the related Van Vleck zeros. It is shown that the new angular
momentum projection for n identical bosons or fermions can be simplified with
the branching multiplicity formula of U(N) supset O(3) and the special choices
of the parameters used in the projection. Especially, it is shown that the
solutions for identical bosons can always be expressed in terms of zeros of
Jacobi polynomials. However, unlike non-identical particle systems, the
n-coupled states of identical particles are non-orthogonal with respect to the
multiplicity label after the projection.


title: Holographic deconfinement transition in the presence of a magnetic field

abstract:
  We investigate the thermodynamics of the flavour sector of the Sakai-Sugimoto
model in the presence of a magnetic field. Renormalizing the euclidean
Dirac-Born-Infeld action in the antipodal limit, we find for the confined and
deconfined phases positive contributions to the pressures that grow with the
magnetic field. We also obtain positive magnetic susceptibilities indicating a
paramagnetic behaviour of quarks. Using these results we estimate a
\lambda^2/N_c correction to the deconfinement temperature that decreases as a
function of the magnetic field.


title:
Lepton masses and mixings in a $A_{4}$ multi-Higgs model with radiative
  seesaw mechanism

abstract:
  We propose a renormalizable multi-Higgs model with $A_{4}\otimes Z_{2}\otimes
Z^{\prime}_{2}$ symmetry, accounting for the experimental deviation from the
tribimaximal mixing pattern of the neutrino mixing matrix. In this framework we
study the charged lepton and neutrino masses and mixings. The light neutrino
masses are generated via a radiative seesaw mechanism, which involves a single
heavy Majorana neutrino and neutral scalars running in the loops. The obtained
neutrino mixings and mass squared splittings are in good agreement with the
neutrino oscillation experimental data for both normal and inverted hierarchy.
The model predicts an effective Majorana neutrino mass $m_{\beta\beta}=$ 4 meV
and 50 meV for the normal and the inverted neutrino spectrum, respectively. The
model also features a suppression of CP violation in neutrino oscillations, a
low scale for the heavy Majorana neutrino (few TeV) and, due to the unbroken
$Z_2$ symmetry, a natural dark matter candidate.


title:
Strong optical self-focusing effect in coherent light scattering with
  condensates

abstract:
  We present a theoretical investigation of optical self-focusing effects in
light scattering with condensates. Using long (>200 \mu s), red-detuned pulses
we show numerically that a non-negligible self-focusing effect is present that
causes rapid optical beam width reduction as the scattered field propagates
through a medium with an inhomogeneous density distribution. The rapid growth
of the scattered field intensity and significant local density feedback
positively to further enhance the wave generation process and condensate
compression, leading to highly efficient collective atomic recoil motion.


title: Approximation of high quantiles from intermediate quantiles

abstract:
  Motivated by applications requiring quantile estimates for very small
probabilities of exceedance, this article addresses estimation of high
quantiles for probabilities bounded by powers of sample size with exponents
below -1. As regularity assumption, an alternative to the Generalised Pareto
tail limit is explored for this purpose. Motivation for the alternative
regularity assumption is provided, and it is shown to be equivalent to a limit
relation for the logarithm of survival function, the log-GW tail limit, which
generalises the GW (Generalised Weibull) tail limit, a generalisation of the
Weibull tail limit. The domain of attraction is described, and convergence
results are presented for quantile approximation and for a simple quantile
estimator based on the log-GW tail. Simulations are presented, and advantages
and limitations of log-GW-based estimation of high quantiles are indicated.


title: A note on 'A New Approach To Compute Wiener Index'

abstract:
  In this note, we discuss the method explained in the recent paper [P. Manuel,
I. Rajasingh, B. Rajan, R. Sundara Rajan, A New Approach To Compute Wiener
Index, Journal of Computational and Theoretical Nanoscience 10, (2013)
1515-1521.] for computing the Wiener index of special chemical graphs. The
method is actually already well-known and equivalent to the 'cut method'
introduced in 1995 by Klavzar, Gutman and Mohar, and used in multiple papers
for computing various distance based graph invariants.


title: Extremely Large Magnetoresistance in the Nonmagnetic Metal PdCoO2

abstract:
  Extremely large magnetoresistance is realized in the nonmagnetic layered
metal PdCoO2. In spite of a highly conducting metallic behavior with a simple
quasi-two-dimensional hexagonal Fermi surface, the interlayer resistance
reaches up to 35000% for the field along the [1-10] direction. Furthermore, the
temperature dependence of the resistance becomes nonmetallic for this field
direction, while it remains metallic for fields along the [110] direction. Such
severe and anisotropic destruction of the interlayer coherence by a magnetic
field on a simple Fermi surface is ascribable to orbital motion of carriers on
the Fermi surface driven by the Lorentz force, but seems to have been largely
overlooked until now.


title: Infrared Emission and the Destruction of Dust in HII regions

abstract:
  The generation of infrared (IR) radiation and the observed IR intensity
distribution at wavelengths of 8, 24, and 100 micron in the ionized hydrogen
region around a young, massive star is investigated. The evolution of the HII
region is treated using a self-consistent chemical-dynamical model in which
three dust populations are included -- large silicate grains, small graphite
grains, and polycyclic, aromatic hydrocarbons (PAHs). A radiative transfer
model taking into account stochastic heating of small grains and macromolecules
is used to model the IR spectral energy distribution. The computational results
are compared with Spitzer and Herschel observations of the RCW 120 nebula. The
contributions of collisions with gas particles and the radiation field of the
star to stochastic heating of small grains are investigated. It is shown that a
model with a homogeneous PAH content cannot reproduce the ring-like
IR-intensity distribution at 8 micron. A model in which PAHs are destroyed in
the ionized region provides a means to explain this intensity distribution.
This model is in agreement with observations for realistic characteristic
destruction times for the PAHs.


title:
On the variable common due date, minimal tardy jobs bicriteria
  two-machine flow shop problem with ordered machines

abstract:
  We consider a special case of the ordinary NP-hard two-machine flow shop
problem with the objective of determining simultaneously a minimal common due
date and the minimal number of tardy jobs. In [S. S. Panwalkar, C. Koulamas, An
O(n^2) algorithm for the variable common due date, minimal tardy jobs
bicriteria two-machine flow shop problem with ordered machines, European
Journal of Operational Research 221 (2012), 7-13.], the authors presented
quadratic algorithm for the problem when each job has its smaller processing
time on the first machine. In this note, we improve the running time of the
algorithm to O(n log n) by efficient implementation using recently introduced
modified binary tree data structure.


title:
Parameters of the Disk Loaded Waveguide structure for intermediate
  particles acceleration in the intermediate energy range

abstract:
  The Disk Loaded Waveguide (DLW) is the mostly used high frequency structure
for acceleration of lightweight particles - electrons in the high energy range.
In some physical experiments acceleration of more heavy particles - muons to
medium energies is required. DLW parameters are considered for particle
velocity 0.04 < \beta < 1 both for the fundamental and the nearest backward
spatial harmonics. Physical and technical restrictions for DLW application in
the low \beta range and lower frequency (the L-band range) are analyzed. Basing
on particularities of acceleration with Traveling Wave (TW) mode, deep
optimization of DLW cells dimensions, the choice of optimal operating phase
advance for DLW section and combination of forward and backward TW modes, it is
possible to create simple, cost effective acceleration system for acceleration
in the velocity range 0.2 < \beta < 1 for intermediate particles, in some
parameters overcoming accelerating system with RF cavities in Standing Wave
(SW) mode. Design criteria are discussed and examples of possible accelerating
systems are presented.


title: R&D Argon Detector at Ash River (RADAR) - Letter of Intent

abstract:
  In the RADAR project described in this Letter of Intent, we propose to deploy
a 6 kton liquid argon TPC at the NOvA Far Detector building in Ash River,
Minnesota, and expose it to the NuMI beam during NOvA running. It will
significantly add to the physics capabilities of the NOvA program while
providing LBNE with an R&D program based on full-scale TPC module assemblies.
RADAR offers an excellent opportunity to improve the full Homestake LBNE
project in physics reach, timeline, costs, and fostering international
partnership. The anticipated duration of the project's construction is 5 years,
with running happening between 2018 and 2023.


title:
Sublinear dispersive conductivity in polyetherimides by the electric
  modulus formalism

abstract:
  It can be seen by Dynamic Electrical Analysis that the electrical properties
of polyetherimide at temperatures above the glass transition are strongly
influenced by space charge. We have studied space charge relaxation in two
commercial grades of polyetherimide, Ultem 1000 and Ultem 5000, using this
technique. The electric modulus formalism has been used to interpret their
conductive properties. In both grades of polyetherimide, asymmetric Argand
plots are observed, which are related to a sublinear power-law dependency
($\omega^{n}$ with $n<1$) in the real part of the conductivity. This behaviour
is attributed to correlated ion hopping. The imaginary part of the electric
modulus exhibits a peak in the low frequency range associated to conduction.
Modelling of this peak allows us to obtain the dependence, among other
parameters, of the conductivity ($\sigma_0$), the fractional exponent ($n$) and
the crossover frequency ($\omega_\mathrm{p}$) on the temperature. The $\alpha$
relaxation, that appears at higher frequencies, has also to be modelled since
it overlaps the conductivity relaxation. The study of the parameters in terms
of the temperature allows us to identify the ones that are thermally activated.
The difference between the conductivity relaxation time and the Maxwell
relaxation time indicates the presence of deep traps. The coupling model points
out that the correlation of the ionic motion diminishes with temperature,
probably due to increasing disorder due to thermal agitation.


title: Wild Algebras: Two Examples

abstract:
  Let k be a field and A a finite-dimensional k-algebra (associative, with 1).
A recent preprint by Chindris, Kinser and Weyman draws the attention to the
present sheer ignorance concerning the possible behavior of wild algebras. The
aim of this note is to exhibit two examples which answer questions mentioned in
the paper.


title:
Stochastic dynamics of small ensembles of non-processive molecular
  motors: the parallel cluster model

abstract:
  Non-processive molecular motors have to work together in ensembles in order
to generate appreciable levels of force or movement. In skeletal muscle, for
example, hundreds of myosin II molecules cooperate in thick filaments. In
non-muscle cells, by contrast, small groups with few tens of non-muscle myosin
II motors contribute to essential cellular processes such as transport, shape
changes or mechanosensing. Here we introduce a detailed and analytically
tractable model for this important situation. Using a three-state crossbridge
model for the myosin II motor cycle and exploiting the assumptions of fast
power stroke kinetics and equal load sharing between motors in equivalent
states, we reduce the stochastic reaction network to a one-step master equation
for the binding and unbinding dynamics (parallel cluster model) and derive the
rules for ensemble movement. We find that for constant external load, ensemble
dynamics is strongly shaped by the catch bond character of myosin II, which
leads to an increase of the fraction of bound motors under load and thus to
firm attachment even for small ensembles. This adaptation to load results in a
concave force-velocity relation described by a Hill relation. For external load
provided by a linear spring, myosin II ensembles dynamically adjust themselves
towards an isometric state with constant average position and load. The
dynamics of the ensembles is now determined mainly by the distribution of
motors over the different kinds of bound states. For increasing stiffness of
the external spring, there is a sharp transition beyond which myosin II can no
longer perform the power stroke. Slow unbinding from the pre-power-stroke state
protects the ensembles against detachment.


title:
Measurement of top quark polarization in top-antitop events from
  proton-proton collisions at sqrt(s) = 7 TeV using the ATLAS detector

abstract:
  This Letter presents measurements of the polarization of the top quark in
top-antitop quark pair events, using 4.7 fb^-1 of proton-proton collision data
recorded with the ATLAS detector at the Large Hadron Collider at sqrt(s) = 7
TeV. Final states containing one or two isolated leptons (electrons or muons)
and jets are considered. Two measurements of alpha_l P, the product of the
leptonic spin-analyzing power and the top quark polarization, are performed
assuming that the polarization is introduced by either a CP conserving (CPC) or
a CP violating (CPV) production process. The measurements obtained, alpha_l
P_CPC = -0.035 +/- 0.014 (stat) +/- 0.037 (syst) and alpha_l P_CPV = 0.020 +/-
0.016 (stat) +0.013 -0.017 (syst), are in good agreement with the Standard
Model prediction of negligible top quark polarization.


title: Optimal Grouping for Group Minimax Hypothesis Testing

abstract:
  Bayesian hypothesis testing and minimax hypothesis testing represent extreme
instances of detection in which the prior probabilities of the hypotheses are
either completely and precisely known, or are completely unknown. Group
minimax, also known as Gamma-minimax, is a robust intermediary between Bayesian
and minimax hypothesis testing that allows for coarse or partial advance
knowledge of the hypothesis priors by using information on sets in which the
prior lies. Existing work on group minimax, however, does not consider the
question of how to define the sets or groups of priors; it is assumed that the
groups are given. In this work, we propose a novel intermediate detection
scheme formulated through the quantization of the space of prior probabilities
that optimally determines groups and also representative priors within the
groups. We show that when viewed from a quantization perspective, group minimax
amounts to determining centroids with a minimax Bayes risk error divergence
distortion criterion: the appropriate Bregman divergence for this task.
Moreover, the optimal partitioning of the space of prior probabilities is a
Bregman Voronoi diagram. Together, the optimal grouping and representation
points are an epsilon-net with respect to Bayes risk error divergence, and
permit a rate-distortion type asymptotic analysis of detection performance with
the number of groups. Examples of detecting signals corrupted by additive white
Gaussian noise and of distinguishing exponentially-distributed signals are
presented.


title: Calculus of Generalized Riesz Products

abstract:
  In this paper we discuss generalized Riesz products bringing into
consideration $H^p$ theory, the notion of Mahler measure, and the zeros of
polynomials appearing in the generalized Riesz product. Formula for
Radon-Nikodym derivative between two generalized Riesz product is established
under suitable conditions. This is then used to formulate a Dichotomy theorem
and prove a conditional version of it. A discussion involving flat polynomials
is given.


title: Short Tops and Semistable Degenerations

abstract:
  One may construct a large class of Calabi-Yau varieties by taking
anticanonical hypersurfaces in toric varieties obtained from reflexive
polytopes. If the intersection of a reflexive polytope with a hyperplane
through the origin yields a lower-dimensional reflexive polytope, then the
corresponding Calabi-Yau varieties are fibered by lower-dimensional Calabi-Yau
varieties. A top generalizes the idea of splitting a reflexive polytope into
two pieces. In contrast to the classification of reflexive polytopes, there are
infinite families of equivalence classes of tops. Tops may be used to describe
either fibrations or degenerations of Calabi-Yau varieties. We give a simple
combinatorial condition on tops which produces semistable degenerations of K3
surfaces, and, when appropriate smoothness conditions are met, semistable
degenerations of Calabi-Yau threefolds. Our method is constructive: given a
fixed reflexive polytope which will lie on the boundary of the top, we describe
an algorithm for constructing tops which yields semistable degenerations of the
corresponding hypersurfaces. The properties of each degeneration may be
computed directly from the combinatorial structure of the top.


title: Cluster Trees on Manifolds

abstract:
  In this paper we investigate the problem of estimating the cluster tree for a
density $f$ supported on or near a smooth $d$-dimensional manifold $M$
isometrically embedded in $\mathbb{R}^D$. We analyze a modified version of a
$k$-nearest neighbor based algorithm recently proposed by Chaudhuri and
Dasgupta. The main results of this paper show that under mild assumptions on
$f$ and $M$, we obtain rates of convergence that depend on $d$ only but not on
the ambient dimension $D$. We also show that similar (albeit non-algorithmic)
results can be obtained for kernel density estimators. We sketch a construction
of a sample complexity lower bound instance for a natural class of manifold
oblivious clustering algorithms. We further briefly consider the known manifold
case and show that in this case a spatially adaptive algorithm achieves better
rates.


title:
The resonance triplet at E_alpha = 4.5 MeV in the 40Ca(alpha,gamma)44Ti
  reaction

abstract:
  The 40Ca(alpha,gamma)44Ti reaction is believed to be the main production
channel for the radioactive nuclide 44Ti in core-collapse supernovae. Radiation
from decaying 44Ti has been observed so far for two supernova remnants, and a
precise knowledge of the 44Ti production rate may help improve supernova
models. The 40Ca(alpha,gamma)44Ti astrophysical reaction rate is determined by
a number of narrow resonances. Here, the resonance triplet at E_alpha = 4497,
4510, and 4523 keV is studied both by activation, using an underground
laboratory for the gamma counting, and by in-beam gamma spectrometry. The
target properties are determined by elastic recoil detection analysis and by
nuclear reactions. The strengths of the three resonances are determined to
omega gamma = (0.92+-0.20), (6.2+-0.5), and (1.32+-0.24) eV, respectively, a
factor of two more precise than before. The strengths of this resonance triplet
may be used in future works as a point of reference. In addition, the present
new data directly affect the astrophysical reaction rate at relatively high
temperatures, above 3.5 GK.


title:
On domain of Poisson operators and factorization for divergence form
  elliptic operators

abstract:
  We consider second order uniformly elliptic operators of divergence form in
$\R^{d+1}$ whose coefficients are independent of one variable. For such a class
of operators we establish a factorization into a product of first order
operators related with Poisson operators and Dirichlet-Neumann maps.
Consequently, we obtain a solution formula for the inhomogeneous elliptic
boundary value problem in the half space, which is useful to show the existence
of solutions in a wider class of inhomogeneous data. We also establish $L^2$
solvability of boundary value problems for a new class of the elliptic
operators.


title:
The VIMOS VLT Deep Survey: the redshift distribution N(z) of
  magnitude-limited samples down to iAB=24.75 and KsAB=22

abstract:
  We measure and analyse the redshift distribution N(z) of magnitude-selected
samples using spectroscopic redshift measurement from the magnitude-selected
VIMOS VLT Deep Survey (VVDS) with 17<iAB<24.75. We compute the N(z) and provide
reference parametric fits for i band, J, H and Ks band magnitud limited
samples. The N(z) of a sample with iAB<24 has a mean redshift z=0.92, with 8.2%
of the galaxies with z>2. Down to iAB<24.75 the sample has a mean redshift
z=1.15 and 17.1% of the galaxies are beyond z=2. The projected sky density is
2.07+/-0.12 gal/arcmin2 at 1.4<z<2.5 and KsAB<22.5, 1.72+/-0.15 gal/arcmin2 at
2.7<z<3.4 and 0.59+/-0.09 gal/arcmin2 at 3.4<z<4.5 brighter than iAB=24.75.
Galaxies at z~3 identified from magnitude-selected samples are 1.5 to 3 times
more numerous than when they are colour-colour selected. We demonstrate that
colour-colour selected samples over 1.4<z<4.5 are strongly contaminated by
galaxies at other redshifts. Semi-analytic models on the Millennium simulations
under-predict the number of luminous star-forming galaxies at z\sim1.8-2, as
well as over-predict the number of low-luminosity galaxies at z<0.8. Our study
provides comprehensive galaxy number counts N(z) from galaxies with
spectroscopic redshifts over a large redshift domain 0<z<5, a solid basis for
the measurement of volume-complete quantities. Magnitude-selected surveys
identify a higher number of galaxies at z>2 than in colour-colour selected
samples, and we use the magnitude-selected VVDS to emphasize the large
uncertainties associated to other surveys using colour or colour-colour
selected samples. Our results further demonstrate that semi-analytical models
on dark matter simulations have yet to find the right balance of physical
processes and time-scales to properly reproduce a fundamental galaxy population
property like the observed N(z).


title: Constraints on asymmetric dark matter from asteroseismology

abstract:
  We report recent results on the impact of asymmetric dark matter (DM)
particles on low-mass stars. First, we found that the small convective core
expected in stars with masses between 1.1 and 1.3 Msun is suppressed due to DM
cooling. Moreover, stars with masses below 1 Msun have their central
temperatures and densities more strongly influenced by DM than in the solar
case. We were able to put limits to the DM mass and spin-dependent DM-proton
scattering cross section by comparing the modelling of the nearby star Alpha
Cen B with photometric, spectroscopic and asteroseismic observations.


title:
Resonant soft x-ray emission as a bulk probe of correlated electron
  behavior in metallic Sr$_x$Ca$_{1-x}$VO$_3$

abstract:
  The evolution of electron correlation in Sr$_{x}$Ca$_{1-x}$VO$_3$ has been
studied using a combination of bulk-sensitive resonant soft x-ray emission
spectroscopy (RXES), surface-sensitive photoemission spectroscopy (PES), and ab
initio band structure calculations. We show that the effect of electron
correlation is enhanced at the surface. Strong incoherent Hubbard subbands are
found to lie ~ 20% closer in energy to the coherent quasiparticle features in
surface-sensitive PES measurements compared with those from bulk-sensitive
RXES, and a ~ 10% narrowing of the overall bandwidth at the surface is also
observed.


title: A quantum mechanical interpretation for the relativity of the space-time

abstract:
  In special relativity theory the physical quantities are generally expressed
as function of the velocity. In the particular case of an extended object, the
factor 1/gamma of Lorentz contraction of its length in the direction of motion
is written as a function of the velocity of the extended object. The same
happens with the Lorentz factor gamma of time interval dilation of a moving
clock. In this paper we show that when gamma is written as a function of the
relativistic energy of the considered object the resulting expressions for the
length and for the time interval suggest that the contraction of length as well
as the dilation of the time interval are manifestations of the wave behavior of
matter.


title: When is the majority-vote classifier beneficial?

abstract:
  In his seminal work, Schapire (1990) proved that weak classifiers could be
improved to achieve arbitrarily high accuracy, but he never implied that a
simple majority-vote mechanism could always do the trick. By comparing the
asymptotic misclassification error of the majority-vote classifier with the
average individual error, we discover an interesting phase-transition
phenomenon. For binary classification with equal prior probabilities, our
result implies that, for the majority-vote mechanism to work, the collection of
weak classifiers must meet the minimum requirement of having an average true
positive rate of at least 50% and an average false positive rate of at most
50%.