title: Tree-Independent Dual-Tree Algorithms

abstract:
  Dual-tree algorithms are a widely used class of branch-and-bound algorithms.
Unfortunately, developing dual-tree algorithms for use with different trees and
problems is often complex and burdensome. We introduce a four-part logical
split: the tree, the traversal, the point-to-point base case, and the pruning
rule. We provide a meta-algorithm which allows development of dual-tree
algorithms in a tree-independent manner and easy extension to entirely new
types of trees. Representations are provided for five common algorithms; for
k-nearest neighbor search, this leads to a novel, tighter pruning bound. The
meta-algorithm also allows straightforward extensions to massively parallel
settings.


title:
Planetary Companions to Three Evolved Intermediate-Mass Stars: HD 2952,
  HD 120084, and omega Serpentis

abstract:
  We report the detections of planetary companions orbiting around three
evolved intermediate-mass stars from precise radial velocity measurements at
Okayama Astrophysical Observatory. HD 2952 (K0III, 2.5 M_sun) and omega Ser
(G8III, 2.2 M_sun) host a relatively low mass planet with minimum mass of
m_2sin i=1.6 M_J and 1.7 M_J in nearly circular orbits with period of P=312 and
277 d, respectively. HD 120084 (G7 III, 2.4 M_sun) hosts an eccentric planet
with m_2sin i=4.5 M_J in an orbit with P=2082 d and eccentricity of e=0.66. The
planet has one of the largest eccentricities among those ever discovered around
evolved intermediate-mass stars, almost all of which have eccentricity smaller
than 0.4. We also show that radial velocity variations of stellar oscillations
for G giants can be averaged out below a level of a few m/s at least in
timescale of a week by high cadence observations, which enables us to detect a
super-Earth and a Neptune-mass planet in short-period orbits even around such
giant stars.


title: Privacy Preserving Data Mining by Using Implicit Function Theorem

abstract:
  Data mining has made broad significant multidisciplinary field used in vast
application domains and extracts knowledge by identifying structural
relationship among the objects in large data bases. Privacy preserving data
mining is a new area of data mining research for providing privacy of sensitive
knowledge of information extracted from data mining system to be shared by the
intended persons not to everyone to access. In this paper, we proposed a new
approach of privacy preserving data mining by using implicit function theorem
for secure transformation of sensitive data obtained from data mining system.
we proposed two way enhanced security approach. First transforming original
values of sensitive data into different partial derivatives of functional
values for perturbation of data. secondly generating symmetric key value by
Eigen values of jacobian matrix for secure computation. we given an example of
academic sensitive data converting into vector valued functions to explain
about our proposed concept and presented implementation based results of new
proposed of approach.


title:
Two-photon laser spectroscopy of antiprotonic helium and the
  antiproton-to-electron mass ratio

abstract:
  Physical laws are believed to be invariant under the combined transformations
of charge, parity and time reversal (CPT symmetry). This implies that an
antimatter particle has exactly the same mass and absolute value of charge as
its particle counterpart. Metastable antiprotonic helium ($\bar{p}{\rm He}^+$)
is a three-body atom consisting of a normal helium nucleus, an electron in its
ground state and an antiproton ($\bar{p}$) occupying a Rydberg state with high
principal and angular momentum quantum numbers, respectively $n$ and $\ell$,
such that $n\sim\ell\sim 38$. These atoms are amenable to precision laser
spectroscopy, the results of which can in principle be used to determine the
antiproton-to-electron mass ratio and to constrain the equality between the
antiproton and proton charges and masses. Here we report two-photon
spectroscopy of antiprotonic helium, in which $\bar{p}{\rm ^3He^+}$ and
$\bar{p}{\rm ^4He^+}$ isotopes are irradiated by two counter-propagating laser
beams. This excites nonlinear, two-photon transitions of the antiproton of the
type $(n,\ell)\rightarrow (n-2,\ell-2)$ at deep-ultraviolet wavelengths
($\lambda$=139.8, 193.0 and 197.0nm), which partly cancel the Doppler
broadening of the laser resonance caused by the thermal motion of the atoms.
The resulting narrow spectral lines allowed us to measure three transition
frequencies with fractional precisions of 2.3-5 parts in $10^9$. By comparing
the results with three-body quantum electrodynamics calculations, we derived an
antiproton-to-electron mass ratio of 1,836.1526736(23), where the parenthetical
error represents one standard deviation. This agrees with the
proton-to-electron value known to a similar precision.


title:
QCD phase diagram at finite baryon and isospin chemical potentials in
  Polyakov loop extended quark meson model with vector interaction

abstract:
  We investigate the QCD phase diagram of isospin asymmetric matter using the
Polyakov loop extended quark meson (PQM) model with vector interaction. The
critical point temperature is found to decrease in isospin asymmetric matter
and disappear at large isospin chemical potential. We also discuss the QCD
phase transition in the neutron star core. From comparison of the QCD phase
diagram in PQM and corresponding baryon and isospin chemical potentials of
neutron star matter in relativistic mean field models, we show that the order
of the chiral phase transition in the neutron star core could be crossover
because of large isospin chemical potential.


title:
A generalization of a theorem of Imai and its applications to Iwasawa
  theory

abstract:
  It is proved that, if $K$ is a complete discrete valuation field of mixed
characteristic $(0,p)$ with residue field satisfying a mild condition, then any
abelian variety over $K$ with potentially good reduction has finite
$K(K^{1/p^\infty})$-rational torsion subgroup. This can be used to remove
certain conditions assumed in some theorems in Iwasawa theory.


title:
Bayesian Inference for Logistic Regression Models Using Sequential
  Posterior Simulation

abstract:
  The logistic specification has been used extensively in non-Bayesian
statistics to model the dependence of discrete outcomes on the values of
specified covariates. Because the likelihood function is globally weakly
concave estimation by maximum likelihood is generally straightforward even in
commonly arising applications with scores or hundreds of parameters. In
contrast Bayesian inference has proven awkward, requiring normal approximations
to the likelihood or specialized adaptations of existing Markov chain Monte
Carlo and data augmentation methods. This paper approaches Bayesian inference
in logistic models using recently developed generic sequential posterior
simulaton (SPS) methods that require little more than the ability to evaluate
the likelihood function. Compared with existing alternatives SPS is much
simpler, and provides numerical standard errors and accurate approximations of
marginal likelihoods as by-products. The SPS algorithm for Bayesian inference
is amenable to massively parallel implementation, and when implemented using
graphical processing units it is more efficient than existing alternatives. The
paper demonstrates these points by means of several examples.


title:
Adaptive Sequential Posterior Simulators for Massively Parallel
  Computing Environments

abstract:
  Massively parallel desktop computing capabilities now well within the reach
of individual academics modify the environment for posterior simulation in
fundamental and potentially quite advantageous ways. But to fully exploit these
benefits algorithms that conform to parallel computing environments are needed.
Sequential Monte Carlo comes very close to this ideal whereas other approaches
like Markov chain Monte Carlo do not. This paper presents a sequential
posterior simulator well suited to this computing environment. The simulator
makes fewer analytical and programming demands on investigators, and is faster,
more reliable and more complete than conventional posterior simulators. The
paper extends existing sequential Monte Carlo methods and theory to provide a
thorough and practical foundation for sequential posterior simulation that is
well suited to massively parallel computing environments. It provides detailed
recommendations on implementation, yielding an algorithm that requires only
code for simulation from the prior and evaluation of prior and data densities
and works well in a variety of applications representative of serious empirical
work in economics and finance. The algorithm is robust to pathological
posterior distributions, generates accurate marginal likelihood approximations,
and provides estimates of numerical standard error and relative numerical
efficiency intrinsically. The paper concludes with an application that
illustrates the potential of these simulators for applied Bayesian inference.


title:
On the eccentric distance sum of unicyclic graphs with a given matching
  number

abstract:
  Let $G = (V_G,E_G)$ be a simple connected graph. The eccentric distance sum
of $G$ is defined as $\xi^d(G)=\sum_{v \in V_G}\,\varepsilon_G(v)D_G(v),$ where
$\varepsilon_G(v)$ is the eccentricity of the vertex $v$ and $D_G(v)=\sum_{u
\in V_G}\,d(u,v)$ is the sum of all distances from the vertex $v$. In this
paper, we characterize $n$-vertex unicyclic graphs with given matching number
having the minimal and second minimal eccentric distance sums, respectively.


title:
Variable Step Size Multiscale Methods for Stiff and Highly Oscillatory
  Dynamical Systems

abstract:
  We present a new numerical multiscale integrator for stiff and highly
oscillatory dynamical systems. The new algorithm can be seen as an improved
version of the seamless Heterogeneous Multiscale Method by E, Ren, and
Vanden-Eijnden and the method FLAVORS by Tao, Owhadi, and Marsden. It
approximates slowly changing quantities in the solution with higher accuracy
than these other methods while maintaining the same computational complexity.
To achieve higher accuracy, it uses variable mesoscopic time steps which are
determined by a special function satisfying moment and regularity conditions.
Detailed analytical and numerical comparison between the different methods are
given.


title: Two-timescale evolution on a singular landscape

abstract:
  Under the effect of strong genetic drift, it is highly probable to observe
gene fixation or gene loss in a population, shown by infinite peaks on a
coherently constructed potential energy landscape. It is then important to ask
what such singular peaks imply, with or without the effects of other biological
factors. We studied the stochastic escape time from the infinite potential
peaks in the Wright-Fisher model, where the typical two-scale diffusion
dynamics was observed via computer simulations. We numerically found the
average escape time for all the bi-stable cases and analytically approximated
the results under weak mutations and selections by calculating the mean first
passage time (MFPT) in singular potential peak. Our results showed that
Kramers' classical escape formula can be extended to the models with
non-Gaussian probability distributions, overcoming constraints in previous
methods. The constructed landscape provides a global and coherent description
for system's evolutionary dynamics, allowing new biological results to be
generated.


title: Edge Excitations in Fractional Chern Insulators

abstract:
  Recent theoretical works have demonstrated the realization of fractional
quantum anomalous Hall states (also called fractional Chern insulators) in
topological flat band lattice models without an external magnetic field. Such
newly proposed lattice systems play a vital role to obtain a large class of
fractional topological phases. Here we report the exact numerical studies of
edge excitations for such systems in a disk geometry loaded with hard-core
bosons, which will serve as a more viable experimental probe for such
topologically ordered states. We find convincing numerical evidence of a series
of edge excitations characterized by the chiral Luttinger liquid theory for the
bosonic fractional Chern insulators in both the honeycomb disk Haldane model
and the kagom\'{e}-lattice disk model. We further verify these current-carrying
chiral edge states by inserting a central flux to test their compressibility.

categories: cond-mat.str-el cond-mat.mes-hall cond-mat.quant-gas quant-ph


title: The unified method for the three-wave equation on the half-line

abstract:
  We present a Riemann-Hilbert problem formalism for the initial-boundary value
problem for the three-wave equation:
  \[p_{ij,t}-\frac{b_i-b_j}{a_i-a_j}p_{ij,x}+\sum_k(\frac{b_k-b_j}{a_k-a_j}-\frac{b_i-b_k}{a_i-a_k})p_{ik}p_{kj}=0,\quad
i,j,k=1,2,3.\] on the half-line.


title:
Gauge-spin-space rotation invariant vortices in spin-orbit coupled
  Bose-Einstein condensates

abstract:
  We revisit ground states of spinor Bose-Einstein condensates with a Rashba
spin-orbit coupling, and find that votices show up as a direct consequence of
spontaneous symmetry breaking into a combined gauge, spin, and space rotation
symmetry, which determines the vortex-core spin state at the rotating center.
For the continuous combined symmetry, the total spin rotation about the
rotating axis is restricted to $2\pi$, whereas for the discrete combined
symmetry, we further need 2F quantum numbers to characterize the total spin
rotation for the spin-$F$ system. For lattice phases we find that in the ground
state the topological charge for each unit cell vanishes. However, we find two
types of highly symmetric lattices with a nontrivial topological charge in the
spin-$\frac{1}{2}$ system based on the symmetry classification, and show that
they are skyrmion crystals.


title: CAR flows on type III factors and its extendability

abstract:
  In this paper using one of the necessary conditions obtained for
extendability in [BISSar], we prove that the CAR flows ([Amo01]) on type III
factors arising from most quasi-free states are not extendable. As a
consequence we find the super product system of CAR flows. We know from [Arv03]
that CCR flows and CAR flows on type I factors with the same Arveson index are
cocycle conjugate. But our result together with [BISSar] will show that CCR
flows and CAR flows on type III factors are not cocycle conjugate.


title:
Quantum Corrections to the Polarizability and Dephasing in Isolated
  Disordered Metals

abstract:
  We study the quantum corrections to the polarizability of isolated metallic
mesoscopic systems using the loop-expansion in diffusive propagators. We show
that the difference between connected (grand-canonical ensemble) and isolated
(canonical ensemble) systems appears only in subleading terms of the expansion,
and can be neglected if the frequency of the external field, $\omega$, is of
the order of (or even slightly smaller than) the mean level spacing, $\Delta$.
If $\omega \ll \Delta$, the two-loop correction becomes important. We calculate
it by systematically evaluating the ballistic parts (the Hikami boxes) of the
corresponding diagrams and exploiting electroneutrality. Our theory allows one
to take into account a finite dephasing rate, $\gamma$, generated by electron
interactions, and it is complementary to the non-perturbative results obtained
from a combination of Random Matrix Theory (RMT) and the $\sigma$-model, valid
at $\gamma \to 0$. Remarkably, we find that the two-loop result for isolated
systems with moderately weak dephasing, $\gamma \sim \Delta$, is similar to the
result of the RMT+$\sigma$-model even in the limit $\omega \to 0$. For smaller
$\gamma$, we discuss the possibility to interpolate between the perturbative
and the non-perturbative results. We compare our results for the temperature
dependence of the polarizability of isolated rings to the experimental data of
Deblock \emph{et al} [\prl \ {\bf 84}, 5379 (2000); \prb \ {\bf 65}, 075301
(2002)], and we argue that the elusive 0D regime of dephasing might have
manifested itself in the observed magneto-oscillations. Besides, we thoroughly
discuss possible future measurements of the polarizability, which could aim to
reveal the existence of 0D dephasing and the role of the Pauli blocking at
small temperatures.


title: Quantum ergodicity on large regular graphs

abstract:
  We propose a version of the Quantum Ergodicity theorem on large regular
graphs of fixed valency. This is a property of delocalization of "most"
eigenfunctions. We consider expander graphs with few short cycles (for instance
random large regular graphs). Our method mimics the proof of Quantum Ergodicity
on manifolds: it uses microlocal analysis on regular trees.


title:
Sparse Coding and Dictionary Learning for Symmetric Positive Definite
  Matrices: A Kernel Approach

abstract:
  Recent advances suggest that a wide range of computer vision problems can be
addressed more appropriately by considering non-Euclidean geometry. This paper
tackles the problem of sparse coding and dictionary learning in the space of
symmetric positive definite matrices, which form a Riemannian manifold. With
the aid of the recently introduced Stein kernel (related to a symmetric version
of Bregman matrix divergence), we propose to perform sparse coding by embedding
Riemannian manifolds into reproducing kernel Hilbert spaces. This leads to a
convex and kernel version of the Lasso problem, which can be solved
efficiently. We furthermore propose an algorithm for learning a Riemannian
dictionary (used for sparse coding), closely tied to the Stein kernel.
Experiments on several classification tasks (face recognition, texture
classification, person re-identification) show that the proposed sparse coding
approach achieves notable improvements in discrimination accuracy, in
comparison to state-of-the-art methods such as tensor sparse coding, Riemannian
locality preserving projection, and symmetry-driven accumulation of local
features.


title: Conformal Behavior in QCD

abstract:
  We give a new perspective on the properties of quarks and gluons at finite
temperature T in N_f = 2 ~ 6 QCD. We point out the existence of an IR fixed
point for the gauge coupling constant at T>T_c (T_c is the chiral phase
transition temperature). Based on this observation we predict theoretically and
verify numerically that the correlation functions of a meson G(t) at T/T_c > 1
decay with a power-law corrected Yukawa-type decaying form, G(t)=c exp(-m
t)/t^alpha in the "conformal region" defined by m < c Lambda_IR, where
Lambda_IR is the IR cutoff, m is the characteristic scale of the spectrum in
the meson cannel and c is a constant of order 1. The decaying form is the
characteristics of conformal theories with an IR cutoff. We discuss in detail
how the resulting hyper scaling relation of physical observables may modify the
existing argument about the order of the chiral phase transition in the N_f=2
case.


title: On the mixing time and spectral gap for birth and death chains

abstract:
  For birth and death chains, we derive bounds on the spectral gap and mixing
time in terms of birth and death rates. Together with the results of Ding et
al. in 2010, this provides a criterion for the existence of a cutoff in terms
of the birth and death rates. A variety of illustrative examples are treated.


title:
Non-contact interactions and the hadronic light-by-light contribution to
  the muon g-2

abstract:
  We summarise recent results for the quark loop part of the light-by-light
scattering contribution to the muons anomalous magnetic moment. In particular
we focus on the impact of a momentum dependent quark and quark-photon vertex.
We compare the Dyson-Schwinger description with that of the extended
Nambu--Jona-Lasinio model (ENJL) and find important quantitative differences.
In particular the transverse parts of the quark-photon-vertex, which serve as a
dynamical extension of simple vector meson dominance models, do not yield the
large suppression as found in the ENJL model.


title: $t\rightarrow \gamma$ decay in the ACD model

abstract:
  In the presented paper we have estimated additional to the standard model
(SM) contributions to the top quark FCNC decays in the framework of the model
with one extra dimension. The estimates of performed calculations show that
extra dimension models with only one additional spatial dimension cannot raise
branching ratio for top FCNC decay.


title: Recursive calculation of the microcanonical density of states

abstract:
  For a classical system of noninteracting particles we establish recursive
integral equations for the density of states on the microcanonical ensemble.
The recursion can be either on the number of particles or on the dimension of
the system. The solution of the integral equations is particularly simple when
the single-particle density of states in one dimension follows a power law.
Otherwise it can be obtained using a Laplace transform method. Since the
Laplace transform of the microcanonical density of states is the canonical
partition function, it factorizes for a system of noninteracting particles and
the solution of the problem is straightforward. The results are illustrated on
several classical examples.


title: Analysis of urban traffic data sets for VANETs simulations

abstract:
  Vehicular Ad-hoc Networks (VANET) are self-organized, distributed
communication networks built up from moving vehicles where each node is
characterized by variable speed, strict limits of freedom in movement patterns
and a variety of traffic dynamics. In the last few years vehicular traffic is
attracting a growing attention from both industry and research, due to the
importance of the related applications, ranging from traffic control to road
safety. However, less attention has been paid to the modeling of realistic user
mobility through real empirical data that would allow to develop much more
effective communication and networking schemes. The aim of this study is then
twofold: on one hand we derived real mobility patters to be used in a VANET
simulator and on the other hand we simulated the VANET data dissemination
achieved with different broadcast protocols in our real traffic setting.


title: A Lax pair for the complete QRT mapping

abstract:
  QRT maps are translations on smooth biquadratic curves, also known as
elliptic curves. Special cases of QRT maps are known to arise as compatibility
conditions for an associated system of linear equations, known as a Lax pair.
Here, we provide $2\times 2$ Lax pairs explicitly for the whole 18-parameter
family of QRT maps.


title:
Boundary measures, generalized Gauss-Green formulas, and mean value
  property in metric measure spaces

abstract:
  We study mean value properties of harmonic functions in metric measure
spaces. The metric measure spaces we consider have a doubling measure and
support a (1,1)- Poincar\'e inequality. The notion of harmonicity is based on
the Dirichlet form defined in terms of a Cheeger differentiable structure. By
studying fine properties of the Green function on balls, we characterize
harmonic functions in terms of a mean value property. As a consequence, we
obtain a detailed description of Poisson kernels. We shall also obtain a
Gauss-Green type formula for sets of finite perimeter which posses a Minkowski
content characterization of the perimeter. For the Gauss-Green formula we
introduce a suitable notion of the interior normal trace of a regular ball.


title: Representations of Homotopy Lie-Rinehart Algebras

abstract:
  I propose a definition of left/right connection along a strong homotopy
Lie-Rinehart algebra. This allows me to generalize simultaneously
representations up to homotopy of Lie algebroids and actions of strong homotopy
Lie algebras on graded manifolds. I also discuss the Schouten-Nijenhuis
calculus associated to strong homotopy Lie-Rinehart connections.


title: The spectral excess theorem for distance-biregular graphs

abstract:
  The spectral excess theorem for distance-regular graphs states that a regular
(connected) graph is distance-regular if and only if its spectral-excess equals
its average excess. A bipartite graph is distance-biregular when it is
distance-regular around each vertex and the intersection array only depends on
the stable set such a vertex belongs to. In this note we derive a new version
of the spectral excess theorem for bipartite distance-biregular graphs.


title:
Accurate ionization potential of gold anionic clusters from density
  functional theory and many-body perturbation theory

abstract:
  We present a theoretical study of the ionization potential in small anionic
gold clusters, using density functional theory, with and without
exact-exchange, and many body perturbation theory, namely the G0W0 approach. We
find that G0W0 is the best approach and correctly describes the first
ionization potential with an accuracy of about 0.1 eV.


title:
Advanced finite-element methods for design and analysis of nanooptical
  structures: Applications

abstract:
  An overview on recent applications of the finite-element method
Maxwell-solver JCMsuite to simulation tasks in nanooptics is given. Numerical
achievements in the fields of optical metamaterials, plasmonics, photonic
crystal fibers, light emitting devices, solar cells, optical lithography,
optical metrology, integrated optics, and photonic crystals are summarized.


title: On pliability of del Pezzo fibrations and Cox rings

abstract:
  We develop some concrete methods to build Sarkisov links, starting from Mori
fibre spaces. This is done by studying low rank Cox rings and their properties.
As part of this development, we give an algorithm to construct explicitly the
coarse moduli space of a toric Deligne-Mumford stack. This can be viewed as the
generalisation of the notion of well-formedness for weighted projective spaces
to homogeneous coordinate ring of toric varieties. As an illustration, we apply
these methods to study birational transformations of certain fibrations of del
Pezzo surfaces over $\mathbb{P}^1$, into other Mori fibre spaces, using Cox
rings and variation of geometric invariant theory. We show that the pliability
of these Mori fibre spaces is at least three and they are not rational.


title:
Reexamination of inflation in noncommutative space-time after Planck
  results

abstract:
  An inflationary model in the framework of noncommutative space-time may
generate a nontrivial running of the scalar spectral index, but usually induces
a large tensor-to-scalar ratio simultaneously. With the latest observational
data from the Planck mission, we reexamine the inflationary scenarios in a
noncommutative space-time. We find that either the running of the spectral
index is tiny compared with the recent observational result, or the
tensor-to-scalar ratio is too large to allow a sufficient number of $e$-folds.
As examples, we show that the chaotic and power-law inflation models with the
noncommutative effects are not favored by the current Planck data.


title:
Lie - point and variational symmetries in minisuperspace Einstein's
  gravity

abstract:
  We consider the application of the theory of symmetries of coupled ordinary
differential equations to the case of reparametrisation invariant Lagrangians
quadratic in the velocities; such Lagrangians encompass all minisuperspace
models. We find that, in order to acquire the maximum number of symmetry
generators, one must (a) consider the lapse $N(t)$ among the degrees of freedom
and (b) allow the action of the generator on the Lagrangian and/or the
equations of motion to produce a multiple of the constraint, rather than
strictly zero. The result of this necessary modification of the standard theory
(concerning regular systems) is that the Lie - point symmetries of the
equations of motion are exactly the variational symmetries (containing the time
reparametrisation symmetry) plus the well known scaling symmetry. These
variational symmetries are seen to be the simultaneous conformal Killing fields
of both the metric and the potential, thus coinciding with the conditional
symmetries defined in phase space. In a parametrisation of the lapse for which
the potential becomes constant, the generators of the aforementioned symmetries
become the Killing fields of the scaled supermetric and the homothetic field
respectively.


title:
On the Landau gauge matter-gluon vertex in scalar QCD in a functional
  approach

abstract:
  Recently the quark-gluon vertex has been investigated in Landau gauge using a
combined Dyson-Schwinger and nPI effective action approach. We present here a
numerical analysis of a simpler system where the quarks have been replaced by
charged scalar fields. We solve the coupled system of Dyson-Schwinger equations
for the scalar propagator, the scalar-gluon vertex and the Yang-Mills
propagators in a truncation related to earlier studies. The calculations have
been performed for scalars both in the fundamental and the adjoint
representation. A clear suppression of the Abelian diagram is found in both
cases. Thus, within the used truncation the suppression of the Abelian diagram
predominantly happens dynamically and is to a high degree independent of the
colour structure. The numerical techniques developed here can directly be
applied to the fermionic case.


title: On arithmetic progressions on Edwards curves

abstract:
  Let m be a positive integer and a,q two rational numbers. Denote by AP_m(a,q)
the set of rational numbers d such that a,a+q,...,a+(m-1)q form an arithmetic
progression in the Edwards curve E_d:x^2+y^2=1+d x^2 y^2. We study the set
AP_m(a,q) and we parametrize it by the rational points of an algebraic curve.


title: Elemental estimators for the Generalized Extreme Value tail

abstract:
  In a companion paper (McRobie(2013) arxiv:1304.3918), a simple set of
`elemental' estimators was presented for the Generalized Pareto tail parameter.
Each elemental estimator: involves only three log-spacings; is absolutely
unbiased for all values of the tail parameter; is location- and
scale-invariant; and is valid for all sample sizes $N$, even as small as $N=
3$. It was suggested that linear combinations of such elementals could then be
used to construct efficient unbiased estimators. In this paper, the analogous
mathematical approach is taken to the Generalised Extreme Value (GEV)
distribution. The resulting elemental estimators, although not absolutely
unbiased, are found to have very small bias, and may thus provide a useful
basis for the construction of efficient estimators.


title:
Typical property of one class of combinatory objects and estimation from
  above corresponding combinatory numbers

abstract:
  We investigate properties of families $F$ of subsets of a finite set in a
situation where subsets are incomparable by the binary inclusion relation and
a) for any $A\notin F$, there is such set $A'\in F$ that either $A\subset A'$
or $A'\subset A$; b) for any $A\in F$, $\mid A\mid\in \{k,k+1\}$. For these
families we introduce one parametre and we show that for almost all families
$F$ the value of this parametre is ${n-1\choose k}$. We show that families with
the minimum value of the entered parametre have certain structure and we find
also number of such families. At last, we find an estimation from above for
combinatory numbers of considered combinatory objects.


title:
A description of odd mass Xe and Te isotopes in the Interacting
  Boson-Fermion Model

abstract:
  Recent interest in spectroscopic factors for single-neutron transfer in
low-spin states of the even-odd Xenon $^{125,127,129.131}$Xe and even-odd
Tellurium, $^{123,125,127,129,131}$Te isotopes stimulated us to study these
isotopes within the frame work of the Interacting Boson-Fermion Model. The
fermion that is coupled to the system of bosons is taken to be in the positive
parity $3s_{1/2}$, $2d_{3/2}$, $2d_{5/2}$, $1g_{7/2}$ and in the negative
$1h_{11/2}$ single-particle orbits, the complete 50-82 major shell. The
calculated energies of low-spin energy levels of the odd isotopes are found to
agree well with the experimental data. Also B(E2), B(M1) values and
spectroscopic factors for single-neutron transfer are calculated and compared
with experimental data.


title: Stationary Configuration of some Optimal Shaping

abstract:
  We consider the problem of optimal location of a Dirichlet region in a
$d$-dimensional domain $\Omega$ subjected to a given right-hand side $f$ in
order to minimize some given functional of the configuration. While in the
literature the Dirichlet region is usually taken $d-1$ dimensional, in this
shape optimization problems, we consider two classes of control variables,
namely the class of one dimensional closed connected sets of finite one
dimensional Hausdorff measure and the class of sets of points of finite
cardinality, and we give a necessary condition of optimality.


title:
Unraveling of the fractional topological phase in one-dimensional
  flatbands with nontrivial topology

abstract:
  We consider a topologically non-trivial flat band structure in one spatial
dimension in the presence of nearest and next nearest neighbor Hubbard
interaction. The non-interacting band structure is characterized by a symmetry
protected topologically quantized Berry phase. At certain fractional fillings,
a gapped phase with a filling-dependent ground state degeneracy, and
fractionally charged quasi-particles emerges. At filling 1/3, the ground states
carry a fractional Berry phase in the momentum basis. These features at first
glance suggest a certain analogy to the fractional quantum Hall scenario in two
dimensions. We solve the interacting model analytically in the physically
relevant limit of a large band gap in the underlying band structure, the analog
of a lowest Landau level projection. Our solution affords a simple physical
understanding of the properties of the gapped interacting phase. We pinpoint
crucial differences to the fractional quantum Hall case by studying the Berry
phase and the entanglement entropy associated with the degenerate ground
states. In particular, we conclude that the `fractional topological phase in
one-dimensional flatbands' is not a one-dimensional analog of the
two-dimensional fractional quantum Hall states, but rather a charge density
wave with a nontrivial Berry phase. Finally, the symmetry protected nature of
the Berry phase of the interacting phase is demonstrated by explicitly
constructing a gapped interpolation to a state with a trivial Berry phase.


title: Fast simulation method for parameter reconstruction in optical metrology

abstract:
  A method for automatic computation of parameter derivatives of numerically
computed light scattering signals is demonstrated. The finite-element based
method is validated in a numerical convergence study, and it is applied to
investigate the sensitivity of a scatterometric setup with respect to
geometrical parameters of the scattering target. The method can significantly
improve numerical performance of design optimization, parameter reconstruction,
sensitivity analysis, and other applications.


title: Universal K-matrix distribution in beta=2 Ensembles of Random Matrices

abstract:
  The K-matrix, also known as the "Wigner reaction matrix" in nuclear
scattering or "impedance matrix" in the electromagnetic wave scattering, is
given essentially by an M x M diagonal block of the resolvent (E-H)^{-1} of a
Hamiltonian H. For chaotic quantum systems the Hamiltonian H can be modelled by
random Hermitian N x N matrices taken from invariant ensembles with the Dyson
symmetry index beta=1,2,4. For beta=2 we prove by explicit calculation a
universality conjecture by P. Brouwer which is equivalent to the claim that the
probability distribution of K, for a broad class of invariant ensembles of
random Hermitian matrices H, converges to a matrix Cauchy distribution with
density ${\cal P}(K)\propto
\left[\det{({\lambda}^2+(K-{\epsilon})^2)}\right]^{-M}$ in the limit $N\to
\infty$, provided the parameter M is fixed and the spectral parameter E is
taken within the support of the eigenvalue distribution of H. In particular, we
show that for a broad class of unitary invariant ensembles of random matrices
finite diagonal blocks of the resolvent are Cauchy distributed. The cases
beta=1 and beta=4 remain outstanding.

categories: math-ph cond-mat.dis-nn cond-mat.mes-hall math.MP


title: Some New Problems in Spectral Optimization

abstract:
  We present some new problems in spectral optimization. The first one consists
in determining the best domain for the Dirichlet energy (or for the first
eigenvalue) of the {\it metric Laplacian}, and we consider in particular
Riemannian or Finsler manifolds, Carnot-Carath\'eodory spaces, Gaussian spaces.
The second one deals with the optimal shape of a graph when the minimization
cost is of spectral type. The third one is the optimization problem for a
Schr\"odinger potential in suitable classes.


title:
On the U-module Structure of the Unipotent Specht Modules of Finite
  General Linear Groups

abstract:
  Let $q$ be a prime power, $G=GL_n(q)$ and let $U\leqslant G$ be the subgroup
of (lower) unitriangular matrices in $G$. For a partition $\lambda$ of $n$
denote the corresponding unipotent Specht module over the complex field $\C$
for $G$ by $S^\lambda$. It is conjectured that for $c\in \Z_{\geqslant 0}$ the
number of irreducible constituents of dimension $q^c$ of the restriction
$\RRes^{G}_U(S^\lambda)$ of $S^\lambda$ to $U$ is a polynomial in $q$ with
integer coefficients depending only on $c$ and $\lambda$, not on $q$. In the
special case of the partition $\lambda=(1^n)$ this implies a longstanding
(still open) conjecture of Higman \cite{higman}, stating that the number of
conjugacy classes of $U$ should be a polynomial in $q$ with integer
coefficients depending only on $n$ not on $q$. In this paper we prove the
conjecture in the case that $\lambda=(n-m,m)$ $(0\leqslant m \leqslant n/2)$ is
a 2-part partition. As a consequence, we obtain a new representation theoretic
construction of the standard basis of $S^\lambda$ (over fields of
characteristic coprime to $q$) defined by M. Brandt, R. Dipper, G. James and S.
Lyle in \cite{brandt2}, \cite{dj1} and an explanation of the rank polynomials
appearing there.


title:
Efficient Computation of Mean Truncated Hitting Times on Very Large
  Graphs

abstract:
  Previous work has shown the effectiveness of random walk hitting times as a
measure of dissimilarity in a variety of graph-based learning problems such as
collaborative filtering, query suggestion or finding paraphrases. However,
application of hitting times has been limited to small datasets because of
computational restrictions. This paper develops a new approximation algorithm
with which hitting times can be computed on very large, disk-resident graphs,
making their application possible to problems which were previously out of
reach. This will potentially benefit a range of large-scale problems.


title:
Gravitational Wave Signatures from Low-mode Spiral Instabilities in
  Rapidly Rotating Supernova Cores

abstract:
  We study properties of gravitational waves (GWs) from rotating core-collapse
of a 15M_odot star by performing three-dimensional general-relativistic
hydrodynamic simulations with an approximate neutrino transport. By
parametrically changing the precollapse angular momentum, we focus on the
effects of rotation on the GW signatures in the early postbounce evolution.
Regarding three-flavor neutrino transport, we solve the energy-averaged set of
radiation energy and momentum based on the Thorne's momentum formalism. In
addition to the gravitational quadrupole radiation from matter motions, we take
into account GWs from anisotropic neutrino emission. With these computations,
our results present several supporting evidences for the previous anticipation
that non-axisymmetric instabilities play an essential role in determining the
postbounce GW signatures. During prompt convection, we find that the waveforms
show narrow-band and highly quasi-periodic signals which persist until the end
of simulations. We point out that such feature reflects the growth of the
one-armed spiral modes. The typical frequency of the quasi-periodic waveforms
can be well explained by the propagating acoustic waves between the stalled
shock and the rotating proto-neutron star surface, which suggests the
appearance of the standing-accretion-shock instability. Although the GW signals
exhibit strong variability between the two polarizations and different observer
directions, they are within the detection limits of next generation detectors
such as by KAGRA and Advanced LIGO, if the source with sufficient angular
momentum is located in our Galaxy.


title: Jump-sparse and sparse recovery using Potts functionals

abstract:
  We recover jump-sparse and sparse signals from blurred incomplete data
corrupted by (possibly non-Gaussian) noise using inverse Potts energy
functionals. We obtain analytical results (existence of minimizers, complexity)
on inverse Potts functionals and provide relations to sparsity problems. We
then propose a new optimization method for these functionals which is based on
dynamic programming and the alternating direction method of multipliers (ADMM).
A series of experiments shows that the proposed method yields very satisfactory
jump-sparse and sparse reconstructions, respectively. We highlight the
capability of the method by comparing it with classical and recent approaches
such as TV minimization (jump-sparse signals), orthogonal matching pursuit,
iterative hard thresholding, and iteratively reweighted $\ell^1$ minimization
(sparse signals).


title:
R\'esolution num\'erique du probl\`eme de Dirichlet $\Delta u = a\,u^3$
  \`a l'aide du mouvement brownien

abstract:
  In this paper, we are interested in numerical solution of some linear
boundary value problems with Dirichlet boundary part, by the means of
simulation of random walks. We use a probabilistic interpretation of solution
$u$, assuming that the coefficient and the boundary data are sufficiently
smooth, and applying It\^o's formula. From these stochastic representations of
solution, we extend some algorithms obtained for standard boundary conditions
to the quasi-linear source of the type $f(u)= a\,u^3$. For positive and
negative parameter $a$, we then obtain numerical results by applying the
stochastic methods based upon these generalized algorithms.


title:
Vortex lattices in three-component Bose-Einstein condensates under
  rotation: simulating colorful vortex lattices in a color superconductor

abstract:
  We study vortex lattices in three-component BECs under rotation, where three
kinds of fractional vortices winding one of three components are present.
Unlike the cases of two-component BECs where the phases of square and
triangular lattices are present depending on the intercomponent coupling
constant and the rotation speed, we find triangular ordered "colorful" vortex
lattices where three kind of fractional vortices are placed in order without
defects, in all parameter region where the inter-component coupling g' is less
than the intra-component coupling g. When g > g' on the other hand, we find the
phase separation; In a region where one component is present, the other two
components must vanish, where we find ghost vortices in these two components
whose positions are separated. In the boundary g = g', the accidental U(3)
symmetry is present, in which case two vortices in different components are
close to each other in some regions.


title: The Oberbeck-Boussinesq approximation in critical spaces

abstract:
  In this paper we study the validity of the so-called Oberbeck-Boussinesq
approximation for compressible viscous perfect gases in the whole
three-dimensional space. Both the cases of uids with positive heat conductivity
and zero conductivity are considered. For small perturbations of a constant
equilibrium, we establish the global existence of unique strong solutions in a
critical regularity functional framework. Next, taking advantage of Strichartz
estimates for the associated system of acoustic waves, and of uniform estimates
with respect to the Mach number, we obtain all-time convergence to the
Boussinesq system with a explicit decay rate.


title: Dynamical Effects on the Habitable Zone for Earth-like Exomoons

abstract:
  With the detection of extrasolar moons (exomoons) on the horizon, it is
important to consider their potential for habitability. If we consider the
circumstellar Habitable Zone (HZ, often described in terms of planet semi-major
axis and orbital eccentricity), we can ask, "How does the HZ for an Earth-like
exomoon differ from the HZ for an Earth-like exoplanet?"
  For the first time, we use 1D latitudinal energy balance modelling to address
this question. The model places an Earth-like exomoon in orbit around a Jupiter
mass planet, which in turn orbits a Sun-like star. The exomoon's surface
temperature is evolved under the action of stellar insolation, atmospheric
cooling, heat diffusion, eclipses and tidal heating. We use this model to carry
out two separate investigations.
  In the first, four test cases are run to investigate in detail the dependence
of the exomoon climate on orbital direction, orbital inclination, and on the
frequency of stellar eclipse by the host planet. We find that lunar orbits
which are retrograde to the planetary orbit exhibit greater climate variations
than prograde orbits, with global mean temperatures around 0.1 K warmer due to
the geometry of eclipses. If eclipses become frequent relative to the
atmospheric thermal inertia timescale, climate oscillations become extremely
small.
  In the second investigation, we carry out an extensive parameter study,
running the model many times to study the habitability of the exomoon in the
4-dimensional space composed of the planet semi-major axis and eccentricity,
and the moon semi-major axis and eccentricity. We find that for zero moon
eccentricity, frequent eclipses allow the moon to remain habitable in regions
of high planet eccentricity, but tidal heating severely constrains habitability
in the limit of high moon eccentricity, making the habitable zone a sensitive
function of moon semi-major axis.


title: Symmetries in Synaptic Algebras

abstract:
  A synaptic algebra is a generalization of the Jordan algebra of selfadjoint
elements of a von Neumann algebra. We study symmetries in synaptic algebras,
i.e., elements whose square is the unit element, and we investigate the
equivalence relation on the projection lattice of the algebra induced by finite
sequences of symmetries. In case the projection lattice is complete, or even
centrally orthocomplete, this equivalence relation is shown to possess many of
the properties of a dimension equivalence relation on an orthomodular lattice.


title:
RockIt: Exploiting Parallelism and Symmetry for MAP Inference in
  Statistical Relational Models

abstract:
  RockIt is a maximum a-posteriori (MAP) query engine for statistical
relational models. MAP inference in graphical models is an optimization problem
which can be compiled to integer linear programs (ILPs). We describe several
advances in translating MAP queries to ILP instances and present the novel
meta-algorithm cutting plane aggregation (CPA). CPA exploits local
context-specific symmetries and bundles up sets of linear constraints. The
resulting counting constraints lead to more compact ILPs and make the symmetry
of the ground model more explicit to state-of-the-art ILP solvers. Moreover,
RockIt parallelizes most parts of the MAP inference pipeline taking advantage
of ubiquitous shared-memory multi-core architectures.
  We report on extensive experiments with Markov logic network (MLN) benchmarks
showing that RockIt outperforms the state-of-the-art systems Alchemy, Markov
TheBeast, and Tuffy both in terms of efficiency and quality of results.


title:
Numerical analysis of nanostructures for enhanced light extraction from
  OLEDs

abstract:
  Nanostructures, like periodic arrays of scatters or low-index gratings, are
used to improve the light outcoupling from organic light-emitting diodes
(OLED). In order to optimize geometrical and material properties of such
structures, simulations of the outcoupling process are very helpful. The finite
element method is best suited for an accurate discretization of the geometry
and the singular-like field profile within the structured layer and the
emitting layer. However, a finite element simulation of the overall OLED stack
is often beyond available computer resources. The main focus of this paper is
the simulation of a single dipole source embedded into a twofold infinitely
periodic OLED structure. To overcome the numerical burden we apply the Floquet
transform, so that the computational domain reduces to the unit cell. The
relevant outcoupling data are then gained by inverse Flouqet transforming. This
step requires a careful numerical treatment as reported in this paper.


title:
High angular resolution observations towards OMC-2 FIR 4: Dissecting an
  intermediate-mass protocluster

abstract:
  OMC-2 FIR 4 is one of the closest known young intermediate-mass
protoclusters, located at a distance of 420 pc in Orion. This region is one of
the few where the complete 500-2000 GHz spectrum has been observed with the
heterodyne spectrometer HIFI on board the Herschel satellite, and unbiased
spectral surveys at 0.8, 1, 2 and 3 mm have been obtained with the JCMT and
IRAM 30-m telescopes.
  In order to investigate the morphology of this region, we used the IRAM
Plateau de Bure Interferometer to image OMC-2 FIR 4 in the 2-mm continuum
emission, as well as in DCO+(2-1), DCN(2-1), C34S(3-2), and several CH3OH
lines. In addition, we analysed observations of the NH3(1,1) and (2,2)
inversion transitions made with the Very Large Array of the NRAO. The resulting
maps have an angular resolution which allows us to resolve structures of 5",
equivalent to 2000 AU.
  Our observations reveal three spatially resolved sources within OMC-2 FIR 4,
of one or several solar masses each, with hints of further unresolved
substructure within them. Two of these sources have elongated shapes and are
associated with dust continuum emission peaks, thus likely containing at least
one molecular core each. One of them also displays radio continuum emission,
which may be attributed to a young B3-B4 star that dominates the overall
luminosity output of the region. The third source identified displays a
DCO+(2-1) emission peak, and weak dust continuum emission. Its higher abundance
of DCO+ relative to the other two regions suggests a lower temperature and
therefore its possible association with either a younger low-mass protostar or
a starless core. It may alternatively be part of the colder envelope of OMC-2
FIR 4.
  Our interferometric observations evidence the complexity of this region,
where multiple cores, chemical differentiation and an ionised region all
coexist within an area of only 10000 AU.


title:
Stark-chirped rapid adiabatic passage in the presence of dissipation for
  quantum computation

abstract:
  Stark-chirped rapid adiabatic passage (SCRAP) is an important technique used
for coherent quantum controls. In this paper we investigate how the
practically-existing dissipation of the system influences on the efficiency of
the passage, and thus the fidelities of the SCRAP-based quantum gates. With
flux-biased Josephson qubits as a specifical example, our results show clearly
that the efficiency of the logic gates implemented by SCRAP are robust against
the weak dissipation. The influence due to the non-adiabtic transitions between
the adiabatic passages is comparatively significantly small. Therefore, the
SCRAP-based logic gates should be feasible for the realistic physical systems
with noises.


title:
Convolutional Network-Coded Cooperation in Multi-Source Networks with a
  Multi-Antenna Relay

abstract:
  We propose a novel cooperative transmission scheme called "Convolutional
Network-Coded Cooperation" (CNCC) for a network including N sources, one
M-antenna relay, and one common destination. The source-relay (S-R) channels
are assumed to be Nakagami-m fading, while the source-destination (S-D) and the
relay-destination (R-D) channels are considered Rayleigh fading. The CNCC
scheme exploits the generator matrix of a good (N+M', N, v) systematic
convolutional code, with the free distance of d_free designed over GF(2), as
the network coding matrix which is run by the network's nodes, such that the
systematic symbols are directly transmitted from the sources, and the parity
symbols are sent by the best antenna of the relay. An upper bound on the BER of
the sources, and consequently, the achieved diversity orders are obtained. The
numerical results indicate that the CNCC scheme outperforms the other
cooperative schemes considered, in terms of the diversity order and the network
throughput. The simulation results confirm the accuracy of the theoretical
analysis.


title:
$L^1$-Uniqueness of Kolmogorov Operators Associated to 2D Stochastic
  Navier-Stokes Coriolis Equations with Space-Time White Noise

abstract:
  We consider the Kolmogorov operator $K$ associated to a stochastic
Navier-Stokes equation driven by space-time white noise on the two-dimensional
torus with periodic boundary conditions and a rotating reference frame,
introducing fictitious forces such as the Coriolis force. This equation then
serves as a simple model for geophysical flows. We prove that the Gaussian
measure induced by the enstrophy is infinitesimally invariant for $K$ on
finitely based cylindrical test functions and moreover $K$ is $L^1$-unique w.
r. t. the enstrophy measure for sufficiently large viscosity.


title: Modelling the chemical evolution of the Galaxy halo

abstract:
  We study the chemical evolution and formation of the Galactic halo through
the analysis of its stellar metallicity distribution function and some key
elemental abundance patterns. Starting from the two-infall model for the
Galaxy, which predicts too few low-metallicity stars, we add a gas outflow
during the halo phase with a rate proportional to the star formation rate
through a free parameter, lambda. In addition, we consider a first generation
of massive zero-metal stars in this two-infall + outflow model adopting two
different top-heavy initial mass functions and specific population III yields.
The metallicity distribution function of halo stars, as predicted by the
two-infall + outflow model shows a good agreement with observations, when the
parameter lambda=14 and the time scale for the first infall, out of which the
halo formed, is not longer than 0.2 Gyr, a lower value than suggested
previously. Moreover, the abundance patterns [X/Fe] vs. [Fe/H] for C, N and
alpha-elements O, Mg, Si, S, Ca show a good agreement with the observational
data. If population III stars are included, under the assumption of different
initial mass functions, the overall agreement of the predicted stellar
metallicity distribution function with observational data is poorer than in the
case without population III. We conclude that it is fundamental to include both
a gas infall and outflow during the halo formation to explain the observed halo
metallicity distribution function, in the framework of a model assuming that
the stars in the inner halo formed mostly in situ. Moreover, we find that it
does not exist a satisfactory initial mass function for population III stars
which reproduces the observed halo metallicity distribution function. As a
consequence, there is no need for a first generation of only massive stars to
explain the evolution of the Galactic halo.


title:
Structural, Electromagnetic, and Thermoelectric properties of Bi4O4S3
  Superconductor

abstract:
  We report on the synthesis and extensive characterization of layered Bi4O4S3
superconductor. This is the optimally doped sample with Tc ~5.3 K out of a
series of Bi6O4S4(SO4)_1-x samples synthesized by solid state reaction. The
series was synthesized towards establishing a phase diagram of transition
temperature as a function of carrier concentration. Crystal structure for
Bi4O4S3 shows larger bending of Bi2-S2-Bi2 bond in the BiS2 layer compared to
that for the parent phase. Scanning electron microscopy images show platelets
like morphology for Bi4O4S3 signifying the layered structure. While the parent
compound is found to be semiconducting, the electrical resistivity of Bi4O4S3
exhibits T^2 dependence in a small temperature range between 25 and 50 K. The
typical dome structure for variation of Tc with dopant concentration is not
observed. From the magneto-transport data Hc2 for Bi4O4S3 is estimated to be
~2.75T with WHH approximation and the corresponding coherence length is ~110A.
Support for multiband signatures is not seen from magneto-resistance data. RF
susceptibility data fits well for S-wave isotropic gap with gap value higher
than BCS strong coupling limit. Hall measurements confirm dominance of
electronic transport. The experimental value of Seebeck coefficient at 35K is
well in accord with the calculated value deduced by using density of charge
carriers from Hall experiments. The Sommerfeld constant is estimated to be ~
1.113 mJ/K^2 mol. Evidence for thermally activated flux flow is observed.


title:
Lagrangian transport in a microtidal coastal area: the Bay of Palma,
  island of Mallorca, Spain

abstract:
  Coastal transport in the Bay of Palma, a small region in the island of
Mallorca, Spain, is characterized in terms of Lagrangian descriptors. The data
sets used for this study are the output for two months (one in autumn and one
in summer) of a high resolution numerical model, ROMS, forced atmospherically
and with a spatial resolution of 300 m. The two months were selected because
its different wind regime, which is the main driver of the sea dynamics in this
area. Finite-size Lyapunov Exponents (FSLEs) were used to locate
semi-persistent Lagrangian coherent structures (LCS) and to understand the
different flow regimes in the Bay. The different wind directions and regularity
in the two months have a clear impact on the surface Bay dynamics, whereas only
topographic features appear clearly in the bottom structures. The fluid
interchange between the Bay and the open ocean was tudied by computing particle
trajectories and Residence Times (RT) maps. The escape rate of particles out of
the Bay is qualitatively different, with a 32$%$ more of escape rate of
particles to the ocean in October than in July, owing to the different
geometric characteristics of the flow. We show that LCSs separate regions with
different transport properties by displaying spatial distributions of residence
times on synoptic Lagrangian maps together with the location of the LCSs.
Correlations between the time-dependent behavior of FSLE and RT are also
investigated, showing a negative dependence when the stirring characterized by
FSLE values moves particles in the direction of escape.


title:
Gevrey Smoothing Effect of Solutions to Non-Cutoff Boltzmann Equation
  for Soft Potential with Mild and Critical Singularity

abstract:
  In this paper we study the Gevrey smoothing effect of solutions to the
non-cutoff spatially homogeneous and inhomogeneous Boltzmann equation for soft
potential. We consider the mild singularity case $s<1/2$ as we did in the
previous work for spatially homogeneous case (J. Diff. Equ. 253(4) (2012),
1172-1190. DOI: 10.1016/j.jde.2012.04.023) and for spatially inhomogeneous case
(arXiv:1304.2971), and try to extend the range of $\gamma$. We derive a new
coercivity estimate for collision operator, using which we can obtain the
Gevrey regularity for $\gamma \in (-5/2,0)$ improving the previous assumption
$\gamma \in (-1-2s,0)$. Besides, we consider $\gamma$ and $s$ separately
instead of viewing $\gamma+2s$ as one untied quantity.


title:
Local gravitational solutions dual to M2-branes intersecting and/or
  ending on M5-branes

abstract:
  We construct local solutions to eleven-dimensional supergravity describing
M2-branes intersecting and/or ending on M5-branes, in the near-horizon limit of
the M2-branes. Global solutions describing these theories should have 16
supercharges and asymptotic AdS_4 x S^7 regions, as well as M5-branes wrapping
AdS_3 x S^3 subspaces. We construct the local solution describing a stack of an
arbitrary number of M5-branes with AdS_3 x S^3 worldvolume and arbitrary
M2-brane charge. Our construction provides a mechanism to get around the no-go
theorem that rules out the existence of global solutions preserving 16
supercharges interpolating between AdS_7 x S^4 and AdS_4 x S^7 regions.


title: Self-similar vortex-induced vibrations of a hanging string

abstract:
  An experimental analysis of the vortex-induced vibrations of a hanging string
with variable tension along its length is presented in this paper. It is shown
that standing waves develop along the hanging string. The evolution of the
Strouhal number St with the Reynolds number Re first follows a trend similar to
what is observed for a circular cylinder in a flow for relatively low Reynolds
numbers (32<Re<700). Second, the extracted mode shapes are self-similar : a
rescaling of the spanwise coordinate by a self-similarity coefficient allows
all of them to collapse on a unique function. The self-similar behaviour of the
spatial distribution of the vibrations along the hanging string is then
explained theoretically by performing a linear stability analysis of an adapted
wake-oscillator model. This linear stability analysis finally provides an
accurate description of the mode shapes and of the evolution of the
self-similarity coefficient with the flow speed.


title: Hierarchies in independence logic

abstract:
  We study the expressive power of fragments of inclusion and independence
logic defined either by restricting the number of universal quantifiers or the
arity of inclusion and independence atoms in formulas. Assuming the so-called
lax semantics for these logics, we relate these fragments of inclusion and
independence logic to familiar sublogics of existential second-order logic. We
also show that, with respect to the stronger strict semantics, inclusion logic
is equivalent to existential second-order logic.


title:
An analysis of a large dataset on immigrant integration in Spain. The
  Statistical Mechanics perspective on Social Action

abstract:
  How does immigrant integration in a country change with immigration density?
Guided by a statistical mechanics perspective we propose a novel approach to
this problem. The analysis focuses on classical integration quantifiers such as
the percentage of jobs (temporary and permanent) given to immigrants, mixed
marriages, and newborns with parents of mixed origin. We find that the average
values of different quantifi?ers may exhibit either linear or non-linear growth
on immigrant density and we suggest that social action, a concept identified by
Max Weber, causes the observed non- linearity. Using the statistical mechanics
notion of interaction to quantitatively emulate social action, a unified
mathematical model for integration is proposed and it is shown to explain both
growth behaviors observed. The linear theory instead, ignoring the possibility
of interaction effects would underestimate the quantifiers up to 30% when
immigrant densities are low, and overestimate them as much when densities are
high. The capacity to quantitatively isolate different types of integration
mechanisms makes our framework a suitable tool in the quest for more efficient
integration policies.


title: Red clump stars of the Milky Way - laboratories of extra-mixing

abstract:
  In this work we present the main atmospheric parameters, carbon, nitrogen and
oxygen abundances, and 12C/13C ratios determined in a sample of 28 Galactic
clump stars. Abundances of carbon were studied using the C2 band at 5086.2
{\AA}. The wavelength interval 7980-8130 {\AA} with strong CN features was
analysed in order to determine nitrogen abundances and 12C/13C isotope ratios.
The oxygen abundances were determined from the [O I] line at 6300 {\AA}. The
mean abundances of C, N and O abundances in the investigated clump stars
support our previous estimations that, compared to the Sun and dwarf stars of
the Galactic disc, carbon is depleted by about 0.2 dex, nitrogen is enhanced by
0.2 dex and oxygen is close to abundances in dwarfs. The 12C/13C and C/N ratios
for galactic red clump stars analysed were compared to the evolutionary models
of extra-mixing. The steeper drop of 12C/13C ratio in the model of thermohaline
mixing by Charbonnel & Lagarde better reflects the observational data at low
stellar masses than the more shallow model of cool bottom processing by
Boothroyd & Sackmann. For stars of about 2 Msun masses a modelling of
rotationally induced mixing should be considered with rotation of about 250 km
s-1 at the time when a star was at the hydrogen-core-burning stage.


title:
BVP's with discontinuities at finite number interior points and spectral
  parameter in the boundary conditions

abstract:
  In this study we are concerned with a class of generalized BVP' s consisting
of eigendependent boundary conditions and supplementary transmission conditions
at finite number interior points. By modifying some techniques of classical
Sturm-Liouville theory and suggesting own approaches we find asymptotic
formulas for the eigenvalues and eigenfunction.


title: EUV induced defects on few-layer graphene

abstract:
  We use Raman spectroscopy to show that exposing few-layer graphene to extreme
ultraviolet (EUV, 13.5 nm) radiation, i.e. relatively low photon energy,
results in an increasing density of defects. Furthermore, exposure to EUV
radiation in a H2 background increases the graphene dosage sensitivity, due to
reactions caused by the EUV induced hydrogen plasma. X-ray photoelectron
spectroscopy (XPS) results show that the sp2 bonded carbon fraction decreases
while the sp3 bonded carbon and oxide fraction increases with exposure dose.
Our experimental results confirm that even in reducing environment oxidation is
still one of the main source of inducing defects.


title: Positive provability logic for uniform reflection principles

abstract:
  We deal with the fragment of modal logic consisting of implications of
formulas built up from the variables and the constant `true' by conjunction and
diamonds only. The weaker language allows one to interpret the diamonds as the
uniform reflection schemata in arithmetic, possibly of unrestricted logical
complexity. We formulate an arithmetically complete calculus with modalities
labeled by natural numbers and \omega, where \omega corresponds to the full
uniform reflection schema, whereas n<\omega corresponds to its restriction to
arithmetical \Pi_{n+1}-formulas. This calculus is shown to be complete w.r.t. a
suitable class of finite Kripke models and to be decidable in polynomial time.


title: Big slices versus big relatively weakly open subsets in Banach spaces

abstract:
  We study the unknown differences between the size of slices and relatively
weakly open subsets of the unit ball in Banach spaces. We show that every
Banach space containing isomorphic copies of $c_0$ can be equivalently renormed
so that every slice of its unit ball has diameter 2 and satisfying that its
unit ball contains nonempty relatively weakly open subsets with diameter
arbitrarily small, which answers an open problem and stresses the differences
of diameter between slices and relatively weakly open subsets of the unit ball
in Banach spaces.


title: Extension of Chern-Simons forms and new gauge anomalies

abstract:
  We present a general analysis of gauge invariant, exact and metric
independent forms which can be constructed using higher rank field-strength
tensors. The integrals of these forms over the corresponding space-time
coordinates provides new topological Lagrangians. With these Lagrangians one
can define gauge field theories which generalize the Chern-Simons quantum field
theory. We also present explicit expressions for the potential gauge anomalies
associated with the tensor gauge fields and classify all possible anomalies
that can appear in lower dimensions. Of special interest are those which can be
constructed in four, six, eight and ten dimensions.


title: Testing the local-void alternative to dark energy using galaxy pairs

abstract:
  The possibility that we live in a special place in the universe, close to the
center of a large, radially inhomogeneous void, has attracted attention
recently as an alternative to dark energy or modified gravity to explain the
accelerating universe. We show that the distribution of orientations of galaxy
pairs can be used to test the Copernican principle that we are not in a central
or special region of Universe. The popular void models can not fit both the
latest type Ia supernova, cosmic microwave background data and the distribution
of orientations of galaxy pairs simultaneously. Our results rule out the void
models at the $4\sigma$ confidence level as the origin of cosmic acceleration
and favor the Copernican principle.


title:
Chow group of 0-cycles with modulus and higher dimensional class field
  theory

abstract:
  One of the main results of this paper is a proof of the rank one case of an
existence conjecture on lisse l-adic sheaves on a smooth variety over a finite
field due to Deligne and Drinfeld. The problem is translated into the language
of higher dimensional class field theory over finite fields, which describes
the abelian fundamental group by Chow groups of zero cycles with moduli. A key
ingredient is the construction of a cycle theoretic avatar of refined Artin
conductor in ramification theory originally studied by Kazuya Kato.


title:
Evidence of a SiO collimated outflow from a massive YSO in IRAS
  17233-3606

abstract:
  Studies of molecular outflows in high-mass young stellar objects reveal
important information about the formation process of massive stars. We
therefore selected the close-by IRAS 17233-3606 massive star-forming region to
perform SiO observations with the SMA interferometer in the (5-4) line and with
the APEX single-dish telescope in the (5-4) and (8-7) transitions. In this
paper, we present a study of one of the outflows in the region, OF1, which
shows several properties similar to jets driven by low-mass protostars, such as
HH211 and HH212. It is compact and collimated, and associated with extremely
high velocity CO emission, and SiO emission at high velocities. We used a
state-of-the-art shock model to constrain the pre-shock density and shock
velocity of OF1. The model also allowed us to self-consistently estimate the
mass of the OF1 outflow. The shock parameters inferred by the SiO modelling are
comparable with those found for low-mass protostars, only with higher pre-shock
density values, yielding an outflow mass in agreement with those obtained for
molecular outflows driven by early B-type young stellar objects. Our study
shows that it is possible to model the SiO emission in high-mass star-forming
regions in the same way as for shocks from low-mass young stellar objects.


title: Rogue waves emerging from the resonant interaction of three waves

abstract:
  We introduce a novel family of analytic solutions of the three-wave resonant
interaction equations to the purpose of modeling unique events, i.e. "amplitude
peaks" which are isolated in space and time. The description of these solutions
is likely to be a crucial step in the understanding and forecasting of
rogue-waves in a variety of multi-component wave dynamics, from oceanography to
optics, from plasma physics to acoustics.

categories: nlin.SI nlin.PS physics.flu-dyn physics.optics


title:
The geometric algebra of Fierz identities in arbitrary dimensions and
  signatures

abstract:
  We use geometric algebra techniques to give a synthetic and computationally
efficient approach to Fierz identities in arbitrary dimensions and signatures,
thus generalizing previous work. Our approach leads to a formulation which
displays the underlying real, complex or quaternionic structure in an explicit
and conceptually clear manner and is amenable to implementation in various
symbolic computation systems. We illustrate our methods and results with a few
examples which display the basic features of the three classes of pin
representations governing the structure of such identities in various
dimensions and signatures.


title: On the Chow ring of birational irreducible symplectic varieties

abstract:
  We show that the graded Chow rings of two birational irreducible symplectic
varieties are isomorphic. This lifts a result known for the cohomology algebras
to the level of Chow rings, despite the non-injectivity the cycle class map. In
the special case of general Mukai flops, we present an alternative approach
based on explicit calculations.


title: Swift/XRT observations of newly discovered INTEGRAL sources

abstract:
  With respect to the recent INTEGRAL/IBIS 9-year Galactic Hard X-ray Survey
(Krivonos et al. 2012), we use archival Swift/XRT observations in conjunction
with multi-wavelength information to discuss the counterparts of a sample of
newly discovered objects. The X-ray telescope (XRT, 0.3-10 keV) on board Swift,
thanks to its few arcseconds source location accuracy, has been proven to be a
powerful tool with which the X-ray counterparts to these IBIS sources can be
searched for and studied. In this work, we present the outcome of this analysis
by discussing four objects (SWIFT J0958.0-4208, SWIFT J1508.6-4953, IGR
J17157-5449, and IGR J22534+6243) having either X-ray data of sufficient
quality to perform a reliable spectral analysis or having interesting
multiwaveband properties. We find that SWIFT J1508.6-4953 is most likely a
Blazar, while IGR J22534+6243 is probably a HMXB. The remaining two objects may
be contaminated by nearby X-ray sources and their class can be inferred only by
means of optical follow-up observations of all likely counterparts.


title: Cities as nuclei of sustainability?

abstract:
  We have assembled CO2 emission figures from collections of urban GHG emission
estimates published in peer reviewed journals or reports from research
institutes and non-governmental organizations. Analyzing the scaling with
population size we find that the exponent is development dependent with a
transition from super- to sub-linear scaling. From the climate change
mitigation point of view, the results suggest that urbanization is desirable in
developed countries and should be avoided in developing ones. Further, we
compare this analysis with a second scaling relation, namely the fundamental
allometry between city population and area, and propose that density might be
the decisive quantity. Last, we derive the theoretical country-wide urban
emissions by integration and obtain a dependence on the size of the largest
city.


title: Stable Recovery with Analysis Decomposable Priors

abstract:
  In this paper, we investigate in a unified way the structural properties of
solutions to inverse problems. These solutions are regularized by the generic
class of semi-norms defined as a decomposable norm composed with a linear
operator, the so-called analysis type decomposable prior. This encompasses
several well-known analysis-type regularizations such as the discrete total
variation (in any dimension), analysis group-Lasso or the nuclear norm. Our
main results establish sufficient conditions under which uniqueness and
stability to a bounded noise of the regularized solution are guaranteed. Along
the way, we also provide a strong sufficient uniqueness result that is of
independent interest and goes beyond the case of decomposable norms.


title: Annealed estimates on the Green function

abstract:
  We consider a random, uniformly elliptic coefficient field $a(x)$ on the
$d$-dimensional integer lattice $\mathbb{Z}^d$. We are interested in the
spatial decay of the quenched elliptic Green function $G(a;x,y)$. Next to
stationarity, we assume that the spatial correlation of the coefficient field
decays sufficiently fast to the effect that a logarithmic Sobolev inequality
holds for the ensemble $\langle\cdot\rangle$. We prove that all stochastic
moments of the first and second mixed derivatives of the Green function, that
is, $\langle|\nabla_x G(x,y)|^p\rangle$ and $\langle|\nabla_x\nabla_y
G(x,y)|^p\rangle$, have the same decay rates in $|x-y|\gg 1$ as for the
constant coefficient Green function, respectively. This result relies on and
substantially extends the one by Delmotte and Deuschel \cite{DeuschelDelmotte},
which optimally controls second moments for the first derivatives and first
moments of the second mixed derivatives of $G$, that is, $\langle|\nabla_x
G(x,y)|^2\rangle$ and $\langle|\nabla_x\nabla_y G(x,y)|\rangle$. As an
application, we are able to obtain optimal estimates on the random part of the
homogenization error even for large ellipticity contrast.


title: Problems in point charge electrodynamics

abstract:
  (Shortened due to character limit)
  This thesis consists of two parts. In part I we consider a discrepancy in the
derivation of the electromagnetic self force for a point charge. In the point
charge framework the self force can be defined as an integral of the
Lienard-Wiechert stress 3-forms over a suitably defined worldtube. We show the
Schott term may be obtained using a null displacement vector to define the
worldtube providing certain conditions are realized.
  Part II comprises an investigation into a problem in accelerator physics. In
a high energy accelerator the cross-section of the beampipe is not continuous
and there exist geometric discontinuities such as collimators and cavities.
When a relativistic bunch of particles passes such a discontinuity the field
generated by a leading charge can interact with the wall and consequently
affect the motion of trailing charges. The fields acting on the trailing
charges are known as (geometric) wakefields. We model a bunch of particles as a
one dimensional continuum of point charges and by calculating the accumulated
Lienard-Wiechert fields we address the possibility of reducing wakefields at a
collimator interface by altering the path of the beam prior to collimation.
This approach is facilitated by the highly relativistic regime in which lepton
accelerators operate, where the Coulomb field given from the Lienard-Wiechert
potential is highly collimated in the direction of motion. It will be seen that
the potential reduction depends upon the ratio of the bunch length to the width
of the collimator aperture as well as the relativistic factor and path of the
beam. Given that the aperture of the collimator is generally on the order of
millimetres we will see that for very short bunches, on the order of hundredths
of a picosecond, a significant reduction is achieved.


title:
Boundedness for commutators of fractional integrals on Herz-Morrey
  spaces with variable exponent

abstract:
  In this paper, some boundedness for commutators of fractional integrals are
obtained on Herz-Morrey spaces with variable exponent applying some properties
of varible exponent and $\BMO$ function.


title: The a-theorem and entanglement entropy

abstract:
  The a-theorem is demonstrated for the RG flows of entanglement entropy in two
and four dimensions. In four dimensions we relate it to the term quadratic in
intrinsic derivative of the dilaton along the entangling surface in the dilaton
entropy. The a-theorem, similarly to the c-theorem in two dimensions, then
follows from the positivity of the 2-point function of stress-energy tensor. We
suggest that the a-theorem, provided it is properly reformulated in terms of
the entanglement entropy, may follow from the c-theorem.


title: On the dynamics of a particle on a cone

abstract:
  A detailed study of the classical and quantum mechanics of a free particle on
a double cone and the particle bounded to its tip by the harmonic oscillator
potential is presented.


title:
Top FB asymmetry vs. (semi)leptonic B decays in multi-Higgs-doublet
  models

abstract:
  We investigate the semileptonic and leptonic B decays, B to D^{(*)} tau nu
and B to tau nu in our multi-Higgs-doublet models, while keeping in mind the
enhancement of the top forward-backward (FB) asymmetry (A^t_{FB}) at the
Tevatron. In these models, the extra (pseudo)scalar bosons contribute to
A^t_{FB} with large flavor-changing Yukawa couplings involving the top quark,
but the contribution of the charged Higgs boson to A^t_{FB} is negligible.
However, it may significantly affect B decays: especially, B to D^{(*)} tau nu
and B to tau nu. We investigate the constraints on the B decays, based on the
recent results in BaBar and Belle experiments, and discuss the possibility that
the allowed parameter region in the B decays can achieve large A^t_{FB}.


title:
Probing the indefinite CP nature of the Higgs Boson through decay
  distributions in the process $e^+e^-\to t\bar{t}\Phi$

abstract:
  The recently discovered scalar resonance at the LHC is now almost confirmed
to be a Higgs Boson, whose CP properties are yet to be established. At the ILC
with and without polarized beams, it may be possible to probe these properties
at high precision. In this work, we study the possibility of probing departures
from the pure CP-even case, by using the decay distributions in the process
$e^+ e^- \to t \bar{t} \Phi$, with $\Phi$ mainly decaying into a $b\bar b$
pair. We have compared the case of a minimal extension of the SM case (Model I)
with an additional pseudoscalar degree of freedom, with a more realistic case
namely the CP-violating Two-Higgs Doublet Model (Model II) that permits a more
general description of the couplings. We have considered the ILC with
$\sqrt{s}=800$\,GeV and integrated luminosity of $300\, {\rm fb}^{-1}$. Our
main findings are that even in the case of small departures from the CP-even
case, the decay distributions are sensitive to the presence of a CP-odd
component in Model II, while it is difficult to probe these departures in Model
I unless the pseudoscalar component is very large. Noting that the proposed
degrees of beam polarization increases the statistics, the process demonstrates
the effective role of beam polarization in studies beyond the Standard Model.
Further, our study shows that an indefinite CP Higgs would be a sensitive
laboratory to physics beyond the SM.


title: Mining to Compact CNF Propositional Formulae

abstract:
  In this paper, we propose a first application of data mining techniques to
propositional satisfiability. Our proposed Mining4SAT approach aims to discover
and to exploit hidden structural knowledge for reducing the size of
propositional formulae in conjunctive normal form (CNF). Mining4SAT combines
both frequent itemset mining techniques and Tseitin's encoding for a compact
representation of CNF formulae. The experiments of our Mining4SAT approach show
interesting reductions of the sizes of many application instances taken from
the last SAT competitions.


title:
Snell's Law and Refraction of Electron World Lines by Intense Laser
  Fields

abstract:
  The dynamics of an electron driven by arbitrary plane wave laser radiation is
formulated as a relativistically and mathematically exact refraction process
based on an exact index of refraction. This reformulation leads to that index
as an indicator of the energy transfer between the electron and the radiation.
It also leads to the dynamics of the electron as being governed (i) by the
Lorentzian version of what in Euclidean space is Snell's law, (ii) by an
eikonal equation with the corresponding index of refraction, (iii) by geodesics
on a spacetime manifold with in-general non-zero curvature ("geometrization of
the laser radiation"), (iv) by the spacetime version of Fermat's principle of
least time, (v) by a Lorentzian stability criterion for the circumstance which
in Euclidean space corresponds to the propagation of rays passing through a
periodic wave guide of lenses which all have the same focal length. That
criterion demands that the laser intensity satisfy $I_{aver}<.56 x (10,000
$angstrom / lambda$)^2 x 10^{18}$watts/cm^2$.


title:
Semilocal and Hybrid Density Embedding Calculations of Ground-State
  Charge-Transfer Complexes

abstract:
  We apply the frozen density embedding method, using a full relaxation of
embedded densities through a freeze-and-thaw procedure, to study the electronic
structure of several benchmark ground-state charge-transfer complexes, in order
to assess the merits and limitations of the approach for this class of systems.
The calculations are performed using both semilocal and hybrid
exchange-correlation (XC) functionals. The results show that embedding
calculations using semilocal XC functionals yield rather large deviations with
respect to the corresponding supermolecular calculations. Due to a large error
cancellation effect, however, they can often provide a relatively good
description of the electronic structure of charge-transfer complexes, in
contrast to supermolecular calculations performed at the same level of theory.
On the contrary, when hybrid XC functionals are employed, both embedding and
supermolecular calculations agree very well with each other and with the
reference benchmark results.
  In conclusion, for the study of ground-state charge-transfer complexes via
embedding calculations hybrid XC functionals are the method of choice due to
their higher reliability and superior performance.


title: Reversible optical doping of graphene

abstract:
  The ultimate surface exposure provided by graphene monolayer makes it the
ideal sensor platform but also exposes its intrinsic properties to any
environmental perturbations. In this work, we demonstrate that the charge
carrier density of graphene exfoliated on a SiO$_2$/Si substrate can be finely
and reversibly tuned between electron and hole doping with visible photons.
This photo-induced doping happens under moderate laser power conditions but is
significantly affected by the substrate cleaning method. In particular, it is
found to require hydrophilic substrates and to vanish in suspended graphene.
These findings suggest that optically gated graphene devices operating with a
sub-second time scale can be envisioned but also that Raman spectroscopy is not
always as non-invasive as generally assumed.


title:
Graphene Antennas: Can Integration and Reconfigurability Compensate for
  the Loss?

abstract:
  In this opening presentation we will first recall the main characteristics of
graphene conductivity and electromagnetic wave propagation on graphene-based
structures. Based on these observations and different graphene antenna
simulations from microwave to Terahertz, we will discuss the issue of antenna
efficiency, integration and reconfigurability, as function of the operation
frequency range. While the applicability of graphene for antennas at microwave
appears limited to particular cases where very low efficiency can be tolerated
for integration or transparency purpose, the plasmonic nature of graphene
conductivity at terahertz frequency allows unprecedented antenna properties and
in particular efficient dynamic reconfiguration.


title: The Growing Correlation Length in Glasses

abstract:
  The growing correlation length observed in supercooled liquids as their
temperature is lowered has been studied with the aid of a single occupancy cell
model. This model becomes more accurate as the density of the system is
increased. One of its advantages is that it permits a simple mapping to a spin
system and the effective spin Hamiltonian is easily obtained for smooth
interparticle potentials. For a binary liquid mixture the effective spin
Hamiltonian is in the universality class of the Ising spin glass in a field. No
phase transition at finite temperatures is therefore expected and the
correlation length will stay finite right down to zero temperature. For binary
mixtures of hard disks and spheres we were not able to obtain the effective
spin Hamiltonian analytically, but have done simulations to obtain its form. It
again is in the universality class of the Ising spin glass in a field. However,
in this case the effective field can be shown to go to zero at the density of
maximum packing in the model, (which is close to that of random close packing),
which means that the correlation length will diverge as the density approaches
its maximum. The exponent nu describing the divergence is related in d
dimensions to the Ising spin glass domain wall energy exponent theta.


title:
Single Colour Diagnostics of the Mass-to-light Ratio: Predictions from
  Galaxy Formation Models

abstract:
  Accurate galaxy stellar masses are crucial to better understand the physical
mechanisms driving the galaxy formation process. We use synthetic star
formation and metal enrichment histories predicted by the {\sc galform} galaxy
formation model to investigate the precision with which various colours
$(m_{a}-m_{b})$ can alone be used as diagnostics of the stellar mass-to-light
ratio. As an example, we find that, at $z=0$, the {\em intrinsic}
(B$_{f435w}-$V$_{f606w}$) colour can be used to determine the intrinsic
rest-frame $V$-band stellar mass-to-light ratio
($\log_{10}\Gamma_{V}=\log_{10}[(M/M_{\odot})/(L_{V}/L_{V\odot})]$) with a
precision of $\sigma_{lg\Gamma}\simeq 0.06$ when the initial mass function and
redshift are known beforehand. While the presence of dust, assuming a universal
attenuation curve, can have a systematic effect on the inferred mass-to-light
ratio using a single-colour relation, this is typically small as it is often
possible to choose a colour for which the dust reddening vector is
approximately aligned with the $(m_{a}-m_{b})-\log_{10}\Gamma_{V}$ relation.
The precision with which the stellar mass-to-light ratio can be recovered using
a single colour diagnostic rivals implementations of SED fitting using more
information but in which simple parameterisations of the star formation and
metal enrichment histories are assumed. To facilitate the wide use of these
relations, we provide the optimal observer frame colour to estimate the stellar
mass-to-light ratio, along with the associated parameters, as a function of
redshift ($0<z<1.5$) for two sets of commonly used filters.


title: Computing the Krichever genus

abstract:
  Let $\psi$ denote the genus that corresponds to the formal group law having
invariant differential $\omega(t)$ equal to
$\sqrt{1+p_1t+p_2t^2+p_3t^3+p_4t^4}$ and let $\kappa$ classify the formal group
law strictly isomorphic to the universal formal group law under strict
isomorphism $x\CP(x)$. We prove that on the rational complex bordism ring the
Krichever-H\"ohn genus $\phi_{KH}$ is the composition $\psi\circ \kappa^{-1}$.
We construct certain elements $A_{ij}$ in the Lazard ring and give an
alternative definition of the universal Krichever formal group law. We conclude
that the coefficient ring of the universal Krichever formal group law is the
quotient of the Lazard ring by the ideal generated by all $A_{ij}$, $i,j\geq
3$.


title: On the Landau-gauge adjoint quark propagator

abstract:
  Quarks in the adjoint representation have been a subject of study for both
conceptual and practical purposes. Conceptually, their differences when it
comes to confining and chiral symmetry properties has long been suspected to
hold important information on the relation of these two distinguished
properties of QCD-like gauge theories. Practically, they have been studied as
both a possibility to access finite density quark systems as well as candidate
theories for technicolor in beyond-the-standard-model settings. The most
elementary object describing such particles is their propagator, though it
being gauge-dependent. Its properties in the minimal Landau gauge are
investigated here both in the quenched and unquenched case for a range of
lattice parameters using the Wilson formulation for the gauge group SU(2). It
is found that the propagator shows pronounced differences to the case of
fundamental quarks, especially towards the chiral limit.


title:
Characterization of the FE-I4B pixel readout chip production run for the
  ATLAS Insertable B-layer upgrade

abstract:
  The Insertable B-layer (IBL) is a fourth pixel layer that will be added
inside the existing ATLAS pixel detector during the long LHC shutdown of 2013
and 2014. The new four layer pixel system will ensure excellent tracking,
vertexing and b-tagging performance in the high luminosity pile-up conditions
projected for the next LHC run. The peak luminosity is expected to reach 3 x
10^34 cm^-2 s^-1 with an integrated luminosity over the IBL lifetime of 300
fb^-1 corresponding to a design lifetime fluence of 5 x 10^15 n_eq cm^-2 and
ionizing dose of 250 Mrad including safety factors. The production front-end
electronics FE-I4B for the IBL has been fabricated at the end of 2011 and has
been extensively characterized on diced ICs as well as at the wafer level. The
production tests at the wafer level were performed during 2012. Selected
results of the diced IC characterization are presented, including measurements
of the on-chip voltage regulators. The IBL powering scheme, which was chosen
based on these results, is described. Preliminary wafer to wafer distributions
as well as yield calculations are given.


title: Nonexistence of Quantum Nonlocality

abstract:
  What violations of Bell inequalities teach us is that the world is quantum
mechanical, i.e., nonclassical. Assertions that they imply the world is
nonlocal arise from ignoring differences between quantum and classical physics.


title: Submaximal metric projective and metric affine structures

abstract:
  We prove that the next possible dimension after the maximal $n^2+2n$ for the
Lie algebra of local projective symmetries of a metric on a manifold of
dimension $n>1$ is $n^2-3n+5$ if the signature is Riemannian or $n=2$,
$n^2-3n+6$ if the signature is Lorentzian and $n>2$, and $n^2-3n+8$ elsewise.
We also prove that the Lie algebra of local affine symmetries of a metric has
the same submaximal dimensions (after the maximal $n^2+n$) unless the signature
is Riemannian and $n=3,4$, in which case the submaximal dimension is
$n^2-3n+6$.


title: Lambda Polarization in Peripheral Heavy Ion Collisions

abstract:
  We predict the polarization of Lambda and antiLambda hyperons in peripheral
heavy ion collisions at ultrarelativistic energy, based on the assumption of
local thermodynamical equilibrium at freeze-out. The polarization vector is
proportional to the curl of the inverse temperature four-vector field and its
length, of the order of percents, is maximal for particle with moderately high
momentum lying on the reaction plane. A selective measurement of these
particles could make Lambda polarization detectable.


title: Simplified Compute-and-Forward and Its Performance Analysis

abstract:
  The compute-and-forward (CMF) method has shown a great promise as an
innovative approach to exploit interference toward achieving higher network
throughput. The CMF was primarily introduced by means of information theory
tools. While there have been some recent works discussing different aspects of
efficient and practical implementation of CMF, there are still some issues that
are not covered. In this paper, we first introduce a method to decrease the
implementation complexity of the CMF method. We then evaluate the exact outage
probability of our proposed simplified CMF scheme, and hereby provide an upper
bound on the outage probability of the optimum CMF in all SNR values, and a
close approximation of its outage probability in low SNR regimes. We also
evaluate the effect of the channel estimation error (CEE) on the performance of
both optimum and our proposed simplified CMF by simulations. Our simulation
results indicate that the proposed method is more robust against CEE than the
optimum CMF method for the examples considered.


title: Martian Methyl Chloride. A lesson in uncertainty

abstract:
  The MSL Lander Curiosity has recently detected methyl halides coming from
heated samples of Martian soil. This is reminiscent of similar findings in the
Viking Lander spacecraft. In the 1970s a consensus developed quickly explaining
the methyl halides as contamination originating from the spacecraft, and
ignoring lines of evidence that the two compounds originated from Mars, and
that they could not have originated from the proposed spacecraft chemistry. I
discuss why this consensus developed from the understanding of biochemistry and
geochemistry of 1976, despite its implausibility. Subsequent explanations for
the Viking methyl halides are more plausible but still not proven. The
Curiosity rover results are also being explained as a result of on-spacecraft
chemistry. I urge caution in this interpretation, in light of the historical
Viking example: it is better to leave unexplained data unexplained than to lock
in an explanation that precludes future developments.


title: Three-Algebra BFSS Matrix Theory

abstract:
  We extend the BFSS matrix theory by means of Lie 3-algebra. The extended
model possesses the same supersymmetry as the original BFSS matrix theory, and
thus as the infinite momentum frame limit of M-theory. We study dynamics of the
model by choosing the minimal Lie 3-algebra that includes u(N) algebra. We can
solve a constraint in the minimal model and obtain two phases. In one phase,
the model reduces to the original matrix model. In another phase, it reduces to
a simple supersymmetric model.


title:
Weighted Endpoint Estimates for Multilinear Commutators of Marcinkiewicz
  Integrals

abstract:
  Let $\mu_{\Omega,\vec{b}}$ be the multilinear commutator generalized by
$\mu_{\Omega}$, the $n$-dimensional Marcinkiewicz integral, with $\Osc_{\exp
L^{^{\tau}}}(\R^{n})$ functions for $\tau\ge 1$, where $\Osc_{\exp
L^{^{\tau}}}(\R^{n})$ is a space of Orlicz type satisfying that $\Osc_{\exp
L^{^{\tau}}}(\R^{n})=\BMO(\R^{n})$ if $\tau=1$ and $\Osc_{\exp
L^{^{\tau}}}(\R^{n})\subset\BMO(\R^{n})$ if $\tau>1$. The authors establish the
weighted weak $L\log L$-type estimates for $\mu_{\Omega,\vec{b}}$ when $\Omega$
satisfies a kind of Dini conditions.


title:
Quasi-phase-matching of high-order-harmonic generation using
  polarization beating in optical waveguides

abstract:
  A scheme for quasi-phase-matching high-harmonic generation is proposed in
which polarization beating within a hollow core birefringent waveguide
modulates the generation of harmonics. The evolution of the polarization of a
laser pulse propagating in a birefringent waveguide is calculated and is shown
to periodically modulate the harmonic generation process. The optimum
conditions for achieving quasi-phase-matching using this scheme are explored
and the growth of the harmonic intensity as a function of experimental
parameters is investigated.