title:
Transfer of Plancherel Measures for Unitary Supercuspidal
  Representations between p-adic Inner Forms

abstract:
  Let $F$ be a $p$-adic field of characteristic 0, and let $M$ be an $F$-Levi
subgroup of a connected reductive $F$-split group such that $\Pi_{i=1}^{r}
SL_{n_i} \subseteq M \subseteq \Pi_{i=1}^{r} GL_{n_i}$ for positive integers
$r$ and $n_i$. We prove that the Plancherel measure for any unitary
supercuspidal representation of $M(F)$ is identically transferred under
\textit{the local Jacquet-Langlands type correspondence} between $M$ and its
$F$-inner forms, assuming a working hypothesis that Plancherel measures are
invariant on a certain set. This work extends the result of Mui{\'c} and Savin
(2000) for Siegel Levi subgroups of the groups $SO_{4n}$ and $Sp_{4n}$ under
the local Jacquet-Langlands correspondence. It can be applied to a simply
connected simple $F$-group of type $E_6$ or $E_7$, and a connected reductive
$F$-group of type $A_{n}$, $B_{n}$, $C_n$ or $D_n$.


title:
A Unified Approach to Online Allocation Algorithms via Randomized Dual
  Fitting

abstract:
  We present a unified framework for designing and analyzing algorithms for
online budgeted allocation problems (including online matching) and their
generalization, the Online Generalized Assignment Problem (OnGAP). These
problems have been intensively studied as models of how to allocate impressions
for online advertising. In contrast to previous analyses of online budgeted
allocation algorithms (the so-called "balance" or "water-filling" family of
algorithms) our analysis is based on the method of randomized dual fitting,
analogous to the recent analysis of the RANKING algorithm for online matching
due to Devanur et al. Our main contribution is thus to provide a unified method
of proof that simultaneously derives the optimal competitive ratio bounds for
online matching and online fractional budgeted allocation. The same method of
proof also supplies $(1-1/e)$ competitive ratio bounds for greedy algorithms
for both problems, in the random order arrival model; this simplifies existing
analyses of greedy online allocation algorithms with random order of arrivals,
while also strengthening them to apply to a larger family of greedy algorithms.
Finally, for the more general OnGAP problem, we show that no algorithm can be
constant-competitive; instead we present an algorithm whose competitive ratio
depends logarithmically on a certain parameter of the problem instance, and we
show that this dependence cannot be improved.


title: Log canonical thresholds in positive characteristic

abstract:
  In this paper, we study the singularities of a pair (X,Y) in arbitrary
characteristic via jet schemes. For a smooth variety X in characteristic 0,
Ein, Lazarsfeld and Mustata showed that there is a correspondence between
irreducible closed cylinders and divisorial valuations on X. Via this
correspondence, one can relate the codimension of a cylinder to the log
discrepancy of the corresponding divisorial valuation. We now extend this
result to positive characteristic. In particular, we prove Mustata's log
canonical threshold formula avoiding the use of log resolutions, making the
formula available also in positive characteristic. As a consequence, we get a
comparison theorem via reduction modulo p and a version of Inversion of
Adjunction in positive characteristic.


title: On stability of Abrikosov vortex lattices

abstract:
  The Ginzburg-Landau equations play a key role in superconductivity and
particle physics. They inspired many imitations in other areas of physics.
These equations have two remarkable classes of solutions -- vortices and
(Abrikosov) vortex lattices. For the standard cylindrical geometry, the
existence theory for these solutions, as well as the stability theory of
vortices are well developed. The latter is done within the context of the
time-dependent Ginzburg-Landau equations -- the Gorkov-Eliashberg-Schmid
equations of superconductivity -- and the abelian Higgs model of particle
physics.
  We study stability of Abrikosov vortex lattices under finite energy
perturbations satisfying a natural parity condition (both defined precisely in
the text) for the dynamics given by the Gorkov-Eliashberg-Schmid equations. For
magnetic fields close to the second critical magnetic field and for arbitrary
lattice shapes, we prove that there exist two functions on the space of
lattices, such that Abrikosov vortex lattice solutions are asymptotically
stable, provided the superconductor is of Type II and these functions are
positive, and unstable, for superconductors of Type I, or if one of these
functions is negative.


title: On Conditions for Uniqueness in Sparse Phase Retrieval

abstract:
  The phase retrieval problem has a long history and is an important problem in
many areas of optics. Theoretical understanding of phase retrieval is still
limited and fundamental questions such as uniqueness and stability of the
recovered solution are not yet fully understood. This paper provides several
additions to the theoretical understanding of sparse phase retrieval. In
particular we show that if the measurement ensemble can be chosen freely, as
few as 4k-1 phaseless measurements suffice to guarantee uniqueness of a
k-sparse M-dimensional real solution. We also prove that 2(k^2-k+1) Fourier
magnitude measurements are sufficient under rather general conditions.


title:
Distributed computation of equilibria in misspecified convex stochastic
  Nash games

abstract:
  The distributed computation of Nash equilibria is assuming growing relevance
in engineering where such problems emerge in the context of distributed
control. Accordingly, we present schemes for computing equilibria of two
classes of static stochastic convex games complicated by a parametric
misspecification, a natural concern in the control of large-scale networked
engineered system. In both schemes, players learn the equilibrium strategy
while resolving the misspecification: (1) Monotone stochastic Nash games: We
present a set of coupled stochastic approximation schemes distributed across
agents in which the first scheme updates each agent's strategy via a projected
(stochastic) gradient step while the second scheme updates every agent's belief
regarding its misspecified parameter using an independently specified learning
problem. We proceed to show that the produced sequences converge in an
almost-sure sense to the true equilibrium strategy and the true parameter,
respectively. Surprisingly, convergence in the equilibrium strategy achieves
the optimal rate of convergence in a mean-squared sense with a quantifiable
degradation in the rate constant; (2) Stochastic Nash-Cournot games with
unobservable aggregate output: We refine (1) to a Cournot setting where we
assume that the tuple of strategies is unobservable while payoff functions and
strategy sets are public knowledge through a common knowledge assumption. By
utilizing observations of noise-corrupted prices, iterative fixed-point schemes
are developed, allowing for simultaneously learning the equilibrium strategies
and the misspecified parameter in an almost-sure sense.


title:
Thermodynamic perturbation theory for associating fluids with small bond
  angles: Effects of steric hindrance, ring formation and double bonding

abstract:
  We develop the first comprehensive approach to model associating fluids with
small bond angles using Wertheim's perturbation theory. We show theoretically
and through monte carlo simulations that as bond angle is varied various modes
of association become dominant. The new theory is shown to be in excellent
agreement with monte carlo simulation for the prediction of the internal
energy, pressure and fractions in rings, chains, double bonded over the full
range of bond angles.


title: Deploying robots with two sensors in $K_{1,6}$-free graphs

abstract:
  Let $G$ be a graph of minimum degree at least two with no induced subgraph
isomorphic to $K_{1,6}$. We prove that if $G$ is not isomorphic to one of eight
exceptional graphs, then it is possible to assign two-element subsets of
$\{1,2,3,4,5\}$ to the vertices of $G$ in such a way that for every
$i\in\{1,2,3,4,5\}$ and every vertex $v\in V(G)$ the label $i$ is assigned to
$v$ or one of its neighbors. It follows that $G$ has fractional domatic number
at least $5/2$. This is motivated by a problem in robotics and generalizes a
result of Fujita, Yamashita and Kameda who proved that the same conclusion
holds for all $3$-regular graphs.


title: Whittaker functions, geometric crystals, and quantum Schubert calculus

abstract:
  This mostly expository article explores recent developments in the relations
between the three objects in the title from an algebro-combinatorial
perspective.
  We prove a formula for Whittaker functions of a real semisimple group as an
integral over a geometric crystal in the sense of Berenstein-Kazhdan. We
explain the connections of this formula to the program of mirror symmetry of
flag varieties developed by Givental and Rietsch; in particular, the integral
formula proves the equivariant version of Rietsch's mirror symmetry conjecture.
We also explain the idea that Whittaker functions should be thought of as
geometric analogues of irreducible characters of finite-dimensional
representations.


title:
Experimental demonstration of a time-domain multidimensional quantum
  channel

abstract:
  We present the first experimental realization of a flexible multidimensional
quantum channel where the Hilbert space dimensionality can be controlled
electronically. Using electro-optical modulators (EOM) and narrow-band optical
filters, quantum information is encoded and decoded in the temporal degrees of
freedom of photons from a long-coherence-time single-photon source. Our results
demonstrate the feasibility of a generic scheme for encoding and transmitting
multidimensional quantum information over the existing fiber-optical
telecommunications infrastructure.


title:
Differentiating the production mechanisms of the Higgs-like resonance
  using inclusive observables at hadron colliders

abstract:
  We present a study on differentiating direct production mechanisms of the
newly discovered Higgs-like boson at the LHC based on several inclusive
observables. The ratios introduced reveal the parton constituents or initial
state radiations involved in the production mechanisms, and are directly
sensitive to fractions of contributions from different channels. We select
three benchmark models, including the SM Higgs boson, to illustrate how the
theoretical predictions of the above ratios are different for the $gg$, $b\bar
b(c\bar c)$, and $q\bar q$ (flavor universal) initial states in the direct
production. We study implications of current Tevatron and LHC measurements. We
also show expectations from further LHC measurements with high luminosities.


title:
Toeplitz Quantization for Non-commutating Symbol Spaces such as
  $SU_q(2)$

abstract:
  Toeplitz quantization is defined in a general setting in which the symbols
are the elements of a possibly non-commutative algebra with a conjugation and a
possibly degenerate inner product. We show that the quantum group $SU_q(2)$ is
such an algebra. Unlike many quantization schemes, this Toeplitz quantization
does not require a measure. The theory is based on the mathematical structures
defined and studied in several recent papers of the author; those papers dealt
with some specific examples of this new Toeplitz quantization. Annihilation and
creation operators are defined as densely defined Toeplitz operators acting in
a quantum Hilbert space, and their commutation relations are discussed. At this
point Planck's constant is introduced into the theory. Due to the possibility
of non-commuting symbols, there are now two definitions for anti-Wick
quantization; these two definitions are equivalent in the commutative case. The
Toeplitz quantization introduced here satisfies one of these definitions, but
not necessarily the other. This theory should be considered as a second
quantization, since it quantizes non-commutative (that is, already quantum)
objects. The quantization theory presented here has two essential features of a
physically useful quantization: Planck's constant and a Hilbert space where
natural, densely defined operators act.


title: The analytic torsion of the finite metric cone over a compact manifold

abstract:
  We give an explicit formula for the $L^2$ analytic torsion of the finite
metric cone over an oriented compact connected Riemannian manifold. We provide
an interpretation of the different factors appearing in this formula. We prove
that the analytic torsion of the cone is the finite part of the limit obtained
collapsing one of the boundaries, of the ratio of the analytic torsion of the
frustum to a regularising factor. We show that the regularising factor comes
from the set of the non square integrable eigenfunctions of the Laplace
Beltrami operator on the cone.


title: Optical turbulence characterization at the SAAO Sutherland site

abstract:
  We present results from the first year of a campaign to characterize and
monitor the optical turbulence profile at the SAAO Sutherland observing station
in South Africa. A MASS-DIMM (MultiAperture Scintillation Sensor - Differential
Image Motion Monitor) was commissioned in March 2010 to provide continuous
monitoring of the seeing conditions. Over the first month of the campaign, a
SLODAR (SLOpe Detection And Ranging) from Durham University was also installed
allowing an independent verification of the performance of the MASS-DIMM
device. After the first year of data collection, the overall median seeing
value is found to be 1.32" as measured at ground level. The ground layer which
includes all layers below 1 km accounts for 84% of the turbulence, while the
free atmosphere above 1 km accounts for 16% with a median value of 0.41". The
median isoplanatic angle value is 1.92", which is similar to other major
astronomical sites. The median coherence time, calculated from corrected MASS
measurements, is 2.85 ms. The seeing conditions at the site do show a strong
correlation with wind direction with bad seeing conditions being associated
with winds from the South-East.


title:
CO2/oxalate Cathodes as Safe and Efficient Alternatives in High Energy
  Density Metal-Air Type Rechargeable Batteries

abstract:
  We present theoretical analysis on why and how rechargeable metal-air type
batteries can be made significantly safer and more practical by utilizing
CO2/oxalate conversions instead of O2/peroxide or O2/hydroxide ones, in the
positive electrode. Metal-air batteries, such as the Li-air one, may have very
large energy densities, comparable to that of gasoline, theoretically allowing
for long range all-electric vehicles. There are, however, still significant
challenges, especially related to the safety of their underlying chemistries,
the robustness of their recharging and the need of supplying high purity O2
from air to the battery. We point out that the CO2/oxalate reversible
electrochemical conversion is a viable alternative of the O2-based ones,
allowing for similarly high energy density and almost identical voltage, while
being much safer through the elimination of aggressive oxidant peroxides and
the use of thermally stable, non-oxidative and environmentally benign oxalates
instead.


title: Relativistic conformal symmetry of neural field propagation in the brain

abstract:
  In this paper, we address a neural field equation that characterizes
spatio-temporal propagation of a neural population pulse. Due that the human
brain is a complex system whose constituents interaction give rise to
fundamental states of consciousness and behavior, it is crucial to gain insight
into its functioning even at relativistic scales. To this end, we study the
action of the relativistic conformal group on the accounted neural field
propagation equation. In particular, we obtain an exact solution for the field
propagation equation when the space-time is 3 or 4 dimensional. Furthermore, in
the 4 dimensional case and the large distance limit, it is shown that the
neural population pulse becomes a Yukawa potential.


title: Unseparated pairs and fixed points in random permutations

abstract:
  In a uniform random permutation \Pi of [n] := {1,2,...,n}, the set of
elements k in [n-1] such that \Pi(k+1) = \Pi(k) + 1 has the same distribution
as the set of fixed points of \Pi that lie in [n-1]. We give three different
proofs of this fact using, respectively, an enumeration relying on the
inclusion-exclusion principle, the introduction of two different Markov chains
to generate uniform random permutations, and the construction of a
combinatorial bijection. We also obtain the distribution of the analogous set
for circular permutations that consists of those k in [n] such that \Pi(k+1 mod
n) = \Pi(k) + 1 mod n. This latter random set is just the set of fixed points
of the commutator [\rho, \Pi], where \rho is the n-cycle (1,2,...,n). We show
for a general permutation \eta that, under weak conditions on the number of
fixed points and 2-cycles of \eta, the total variation distance between the
distribution of the number of fixed points of [\eta,\Pi] and a Poisson
distribution with expected value 1 is small when n is large.


title:
The bow-shock and high-speed jet in the faint, 40 arcmin diameter, outer
  halo of the evolved Helix planetary nebula (NGC 7293)

abstract:
  In previous, very deep, optical images of NGC 7293 both a feature that has
the morphology of a bow-shock and one with that of a jet were discovered in the
faint 40 arcmin diameter halo of the nebula. Spatially resolved longslit
profiles of the Halpha and [N II] 6548, 6584 A nebular emission lines from both
features have now been obtained.
  The bow-shaped feature has been found to have Halpha radial velocities close
to the systemic heliocentric radial velocity, -27 km/s, of NGC 7293 and is
faint in the [N II] 6548, 6584 A emission lines. Furthermore, the full width of
these profiles matches the relative motion of NGC 7293 with its ambient
interstellar medium consequently it is deduced that the feature is a real
bow-shock caused by the motion of NGC 7293 as it ploughs through this medium.
The proper motion of the central star also points towards this halo feature
which substantiates this interpretation of its origin.
  Similarly [N II] 6584 A line profiles reveal that the jet-like filament is
indeed a collimated outflow, as suggested by its morphology, at around 300 km/s
with turbulent widths of around 50 km/s. It's low Halpha/[N II] 6548, 6584 A
brightness ratio suggests collisional ionization as expected in a high-speed
jet.


title:
Strong Koszulness of toric rings associated with stable set polytopes of
  trivially perfect graphs

abstract:
  We give necessary and sufficient conditions for strong Koszulness of toric
rings associated with the stable set polytope of graphs.


title: Standard and exotic singularities regularized by varying constants

abstract:
  We review the variety of new singularities in homogeneous and isotropic FRW
cosmology which differ from standard Big-Bang and Big-Crunch singularities and
suggest how the nature of these singularities can be influenced by the varying
fundamental constants.


title:
Registration of the signal of a star and PCR sources optical radiation
  by means of the installation, aimed at the investigation of EAS of high
  energy cosmic rays

abstract:
  With the help of the experimental installation aimed at the investigation of
high energy cosmic rays (Tien-Shan high mountain laboratory) the signal of
Solar and star optical radiation is registered. The signal is well provided
statistically and possesses the strictly expressed maximum in the region of EAS
sizes Ne 1.19 106 particles (primary energy Eo 1.33 1015 eV). This signal is
the peak from gamma EAS, generated by gamma quanta from decay of pi zero
mesons, photo produced by the Primary Cosmic Radiation (PCR) nuclei on the
photons of stars and of PCR sources. The assumption is made, that exactly this
process provides the main contribution in the formation of so called knee on
the primary spectrum.
  Due to the universality and distinct maximum of this signal, its usage for
independent and reliable calibration of the EAS installations, for the mutual
calibration of these installations and, possibly, for the merger of
experimental data obtained by means of these installations to increase the
statistics, is proposed. It is especially vital to day, when the further
essential increase of the energy range under investigation is necessary.


title:
Azimuthal angular correlations between heavy-flavour decay particles and
  charged hadrons in pp collisions in ALICE

abstract:
  Heavy quarks produced in pp and heavy ion collisions are studied using
heavy-flavour decay electrons and heavy-flavour mesons. Detailed understanding
of the production processes and fragmentation of heavy quarks can be obtained
by studying the azimuthal angular correlation of heavy-flavour hadrons. The
azimuthal angular correlations of heavy-flavour mesons and charged hadrons can
be used to disentangle charm and beauty-hadrons in pp collisions. In this
contribution the fraction of electrons from beauty-hadron decays in the
heavy-flavour decay electron yield is shown as well as the beauty production
cross section in pp collisions at $\sqrt\textrm{s}$ = 2.76 TeV. The
measurements are compared to the predictions from next-to leading order
perturbative QCD calculations. We also show the results from correlation
analysis of charged $\mathrm{D}^{*}$ mesons and hadrons performed using pp
collision data at $\sqrt{\textrm{s}}$ = 7 TeV.


title: Stability of Phase Retrievable Frames

abstract:
  In this paper we study the property of phase retrievability by redundant
sysems of vectors under perturbations of the frame set. Specifically we show
that if a set $\fc$ of $m$ vectors in the complex Hilbert space of dimension n
allows for vector reconstruction from magnitudes of its coefficients, then
there is a perturbation bound $\rho$ so that any frame set within $\rho$ from
$\fc$ has the same property. In particular this proves the recent construction
in \cite{BH13} is stable under perturbations. By the same token we reduce the
critical cardinality conjectured in \cite{BCMN13a} to proving a stability
result for non phase-retrievable frames.


title: Edgeless graphs are the only universal fixers

abstract:
  Given two disjoint copies of a graph $G$, denoted $G^1$ and $G^2$, and a
permutation $\pi$ of $V(G)$, the graph $\pi G$ is constructed by joining $u \in
V(G^1)$ to $\pi(u) \in V(G^2)$ for all $u \in V(G^1)$. $G$ is said to be a
universal fixer if the domination number of $\pi G$ is equal to the domination
number of $G$ for all $\pi$ of $V(G)$. In 1999 it was conjectured that the only
universal fixers are the edgeless graphs. Since then, a few partial results
have been shown. In this paper, we prove the conjecture completely.


title: Approximating spectral densities of large matrices

abstract:
  In physics, it is sometimes desirable to compute the so-called \emph{Density
Of States} (DOS), also known as the \emph{spectral density}, of a real
symmetric matrix $A$. The spectral density can be viewed as a probability
density distribution that measures the likelihood of finding eigenvalues near
some point on the real line. The most straightforward way to obtain this
density is to compute all eigenvalues of $A$. But this approach is generally
costly and wasteful, especially for matrices of large dimension. There exists
alternative methods that allow us to estimate the spectral density function at
much lower cost. The major computational cost of these methods is in
multiplying $A$ with a number of vectors, which makes them appealing for
large-scale problems where products of the matrix $A$ with arbitrary vectors
are relatively inexpensive. This paper defines the problem of estimating the
spectral density carefully, and discusses how to measure the accuracy of an
approximate spectral density. It then surveys a few known methods for
estimating the spectral density, and proposes some new variations of existing
methods. All methods are discussed from a numerical linear algebra point of
view.


title:
Ks Band Luminosity Evolution of the Asymptotic Giant Branch Population
  Based on Star Clusters in the Large Magellanic Cloud

abstract:
  We present a study of Ks band luminosity evolution of the asymptotic giant
branch (AGB) population in simple stellar systems using star clusters in the
Large Magellanic Cloud (LMC). We determine physical parameters of LMC star
clusters including center coordinates, radii, and foreground reddenings. Ages
of 83 star clusters are derived from isochrone fitting with the Padova models,
and those of 19 star clusters are taken from the literature. The AGB stars in
102 star clusters with log(age) = 7.3 - 9.5 are selected using near-infrared
color magnitude diagrams based on 2MASS photometry. Then we obtain the Ks band
luminosity fraction of AGB stars in these star clusters as a function of ages.
The Ks band luminosity fraction of AGB stars increases, on average, as age
increases from log(age) ~ 8.0, reaching a maximum at log(age) ~ 8.5, and it
decreases thereafter. There is a large scatter in the AGB luminosity fraction
for given ages, which is mainly due to stochastic effects. We discuss this
result in comparison with five simple stellar population models. The maximum Ks
band AGB luminosity fraction for bright clusters is reproduced by the models
that expect the value of 0.7 - 0.8 at log(age) = 8.5 - 8.7. We discuss the
implication of our results with regard to the study of size and mass evolution
of galaxies.


title:
Heisenberg uncertainty principle and quantum Zeno effects in the
  linguistic interpretation of quantum mechanics

abstract:
  Recently we proposed measurement theory (i.e., quantum language, or the
linguistic interpretation of quantum mechanics), which is characterized as the
linguistic turn of the Copenhagen interpretation of quantum mechanics. This
turn from physics to language does not only extend quantum theory to classical
theory but also yield the quantum mechanical world view (i.e., the (quantum)
linguistic world view). Thus, we believe that the linguistic interpretation is
the most powerful in all interpretations. Our purpose is to examine the power
of measurement theory, that is, to try to formulate Heisenberg uncertainty
principle (particulary, the relation between Ishikawa's formulation and so
called Ozawa's inequality) and quantum Zeno effects in the linguistic
interpretation. As our conclusions, we must say that our trials do not
completely succeed. However, we want to believe that this does not imply that
we must abandon our linguistic interpretation.


title: Ashes 2013 - A network theory analysis of Cricket strategies

abstract:
  We demonstrate in this paper the use of tools of complex network theory to
describe the strategy of Australia and England in the recently concluded Ashes
2013 Test series. Using partnership data made available by cricinfo during the
Ashes 2013 Test series, we generate batting partnership network (BPN) for each
team, in which nodes correspond to batsmen and links represent runs scored in
partnerships between batsmen. The resulting network display a visual summary of
the pattern of run-scoring by each team, which helps us in identifying
potential weakness in a batting order. We use different centrality scores to
quantify the performance, relative importance and effect of removing a player
from the team. We observe that England is an extremely well connected team, in
which lower order batsmen consistently contributed significantly to the team
score. Contrary to this Australia showed dependence on their top order batsmen.


title: Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates

abstract:
  The duality in Bakry-\'Emery's gradient estimates and Wasserstein controls
for heat distributions is extended to that in refined estimates in a high
generality. As a result, we find an equivalent condition to Bakry-Ledoux's
refined gradient estimate involving an upper dimension bound. This new
condition is described as a $L^2$-Wasserstein control for heat distributions at
different times. The $L^p$-version of those estimates are studied on Riemannian
manifolds via coupling method.


title: Effects of relativistic kinematics in heavy ion elastic scattering

abstract:
  Relativistic corrections to the reaction kinematic parameters were made for
elastic scattering of \nuc{6}{Li}, \nuc{12}{C} and \nuc{40}{Ar} from
\nuc{40}{Ca}, \nuc{90}{Zr}, and \nuc{208}{Pb} targets at incident energies
between 20 and 100 MeV/nucleon. Results of optical model calculations show that
the effects of such corrections are important in describing the angular
distributions of elastic scattering cross sections for heavy ion scattering at
incident energies as low as around 40 MeV/nucleon. The effects on the total
reaction cross sections on the other hand, were found to be small within the
energy range studied when the optical model potential is fixed.


title:
Symbolic Computation of Lax Pairs of Partial Difference Equations Using
  Consistency Around the Cube

abstract:
  A three-step method due to Nijhoff and Bobenko & Suris to derive a Lax pair
for scalar partial difference equations (P\Delta Es) is reviewed. The method
assumes that the P\Delta Es are defined on a quadrilateral, and consistent
around the cube. Next, the method is extended to systems of P\Delta Es where
one has to carefully account for equations defined on edges of the
quadrilateral. Lax pairs are presented for scalar integrable P\Delta Es
classified by Adler, Bobenko, and Suris and systems of P\Delta Es including the
integrable 2-component potential Korteweg-de Vries lattice system, as well as
nonlinear Schroedinger and Boussinesq-type lattice systems. Previously unknown
Lax pairs are presented for P\Delta Es recently derived by Hietarinta (J. Phys.
A: Math. Theor., 44, 2011, Art. No. 165204). The method is algorithmic and is
being implemented in Mathematica.


title:
Changes in Cascading Failure Risk with Generator Dispatch Method and
  System Load Level

abstract:
  Industry reliability rules increasingly require utilities to study and
mitigate cascading failure risk in their system. Motivated by this, this paper
describes how cascading failure risk, in terms of expected blackout size,
varies with power system load level and pre-contingency dispatch. We used Monte
Carlo sampling of random branch outages to generate contingencies, and a model
of cascading failure to estimate blackout sizes. The risk associated with
different blackout sizes was separately estimated in order to separate small,
medium, and large blackout risk. Results from $N-1$ secure models of the IEEE
RTS case and a 2383 bus case indicate that blackout risk does not always
increase with load level monotonically, particularly for large blackout risk.
The results also show that risk is highly dependent on the method used for
generator dispatch. Minimum cost methods of dispatch can result in larger long
distance power transfers, which can increase cascading failure risk.


title: Heat conduction in the \alpha-\beta -Fermi-Pasta-Ulam chain

abstract:
  Recent simulation results on heat conduction in a one-dimensional chain with
an asymmetric inter-particle interaction potential and no onsite potential
found non-anomalous heat transport in accordance to Fourier's law. This is a
surprising result since it was long believed that heat conduction in
one-dimensional systems is in general anomalous in the sense that the thermal
conductivity diverges as the system size goes to infinity. In this paper we
report on detailed numerical simulations of this problem to investigate the
possibility of a finite temperature phase transition in this system. Our
results indicate that the unexpected results for asymmetric potentials is a
result of insufficient chain length, and does not represent the asymptotic
behavior.


title:
Anomalous transport and current fluctuations in a model of diffusing
  Levy walkers

abstract:
  A Levy walk is a non-Markovian stochastic process in which the elementary
steps of the walker consist of motion with constant speed in randomly chosen
directions and for a random period of time. The time of flight is chosen from a
long-tailed distribution with a finite mean but an infinite variance. Here we
consider an open system with boundary injection and removal of particles, at
prescribed rates, and study the steady state properties of the system. In
particular, we compute density profiles, current and current fluctuations in
this system. We also consider the case of a finite density of Levy walkers on
the ring geometry. Here we introduce a size dependent cut-off in the time of
flight distribution and consider properties of current fluctuations.


title: Strong fusion control and stable equivalences

abstract:
  This article is dedicated to the proof of the following theorem. Let G be a
finite group, p be a prime number, and e be a p-block of G. Assume that the
centraliser C_G(P) of an e-subpair (P,e_P) "strongly" controls the fusion of
the block e, and that a defect group of e is either abelian or (for odd p) has
a non-cyclic center. Then there exists a stable equivalence of Morita type
between the block algebras OGe and OC_G(P)e_P, where O is a complete discrete
valuation ring of residual characteristic p. This stable equivalence is
constructed by gluing together a family of local Morita equivalences, which are
induced by bimodules with fusion-stable endo-permutation sources.
  Brou\'e had previously obtained a similar result for principal blocks, in
relation with the search for a modular proof of the odd Z*p-theorem. Thus our
theorem points towards a block-theoretic analogue of the Z*p-theorem, which we
state in terms of fusion control and Morita equivalences.


title:
Identification of a $9/2^-$[505] isomer in the neutron-rich $^{193}$Os
  nucleus

abstract:
  The neutron rich nucleus $^{193}$Os was produced in the
$^{192}$Os($^{7}$Li,$^{6}$Li)$^{193}$Os reaction. An isomeric state based on
the $9/2^-$[505] nilsson orbital was identified in the present work. Half-life
of the isomeric state was extracted and discussed in terms of the $K$ quantum
number. Level scheme built on the isomeric state was proposed based on the
experimental data.


title: Multiple ordering transitions in a chiral liquid

abstract:
  We present here a numerical study of a lattice model of a chiral liquid. The
low symmetry of the favoured local structure depresses the freezing point to
reveal an exotic liquid-liquid transition characterised by the appearance of an
extended chirality,prior to freezing. What mechanisms impede crystallisation in
liquids with low molecular symmetry ? The ordered liquid can be readily
supercooled to zero temperature, as the combination of critical slowing down
and competing crystal polymorphs results in a dramatically slow crystallisation
process.


title: Flaglets for studying the large-scale structure of the Universe

abstract:
  Pressing questions in cosmology such as the nature of dark matter and dark
energy can be addressed using large galaxy surveys, which measure the
positions, properties and redshifts of galaxies in order to map the large-scale
structure of the Universe. We review the Fourier-Laguerre transform, a novel
transform in 3D spherical coordinates which is based on spherical harmonics
combined with damped Laguerre polynomials and appropriate for analysing galaxy
surveys. We also recall the construction of flaglets, 3D wavelets obtained
through a tiling of the Fourier-Laguerre space, which can be used to extract
scale-dependent, spatially localised features on the ball. We exploit a
sampling theorem to obtain exact Fourier-Laguerre and flaglet transforms, such
that band-limited signals can analysed and reconstructed at floating point
accuracy on a finite number of voxels on the ball. We present a potential
application of the flaglet transform for finding voids in galaxy surveys and
studying the large-scale structure of the Universe.


title:
A Radio-Frequency-over-Fiber link for large-array radio astronomy
  applications

abstract:
  A prototype 425-850 MHz Radio-Frequency-over-Fiber (RFoF) link for the
Canadian Hydrogen Intensity Mapping Experiment (CHIME) is presented. The design
is based on a directly modulated Fabry-Perot (FP) laser, operating at ambient
temperature, and a single-mode fiber. The dynamic performance, gain stability,
and phase stability of the RFoF link are characterized. Tests on a two-element
interferometer built at the Dominion Radio Astrophysical Observatory for CHIME
prototyping demonstrate that RFoF can be successfully used as a cost-effective
solution for analog signal transport on the CHIME telescope and other
large-array radio astronomy applications


title: Cosmic Rays in the Milky Way and Beyond

abstract:
  Cosmic rays (CRs) are the probes of the deep space. They allow us to study
particle acceleration, chemical composition of the interstellar medium, and
global properties of our Galaxy. However, until recently studies of CRs were
similar to astronomical observations with blurred lenses that capture only the
integral brightness of all stars in the field of view. Thanks to the recent
technological developments, our "lenses" are now capable of capturing sharp
images and making precise measurements of all CR species. We have a full range
of unique instrumentation for direct measurements of CRs in space and for
multi-wavelength observations of their emissions and more missions are coming.
The unveiling picture is astonishing. This paper gives a short overview of very
exciting developments in astrophysics of CRs in the Milky Way and in other
star-forming galaxies.


title:
Boundedness of fractional integral operators on non-homogeneous metric
  measure spaces

abstract:
  In this paper, the fractional integral operator on non-homogeneous metric
measure spaces is introduced, which contains the classic fractional integral
operator, fractional integral with non-doubling measures and fractional
integral with fractional kernel of order $\alpha$ and regularity $\epsilon$
introduced by Garc\'{i}a-Cuerva and Gatto as special cases. And the
$(L^{p}(\mu),L^{q}(\mu))$-boundedness for fractional integral operators on
non-homogeneous metric measure spaces is established. From this, the
$(L^{p}(\mu),L^{q}(\mu))$-boundedness for commutators and multilinear
commutators generated by fractional integral operators with $RBMO(\mu)$
function are further obtained. These results in this paper includes the
corresponding results on both the homogeneous spaces and non-doubling measure
spaces.


title:
A New Population of Planetary Nebulae Discovered in the Large Magellanic
  Cloud (IV): The Outer LMC

abstract:
  We have extended our PNe survey to the outer ~64deg^2 of the LMC using maps
from the Magellanic Cloud Emission Line Survey (MCELS) and the UK Schmidt
Telescope (UKST) H-alpha survey. Although the MCELS survey has poorer ~5
arcsecond resolution than both the UKST H-alpha survey and the original H-alpha
median stacked map in the LMC's central 25deg^2, it has the advantage of
additional narrow-band filters at H-alpha, [OIII] and [SII] providing improved
diagnostic capabilities. Using these data to uncover new emission line
candidates we have so far spectroscopically confirmed an extra 61 LMC PNe which
we present here for the first time. We have also independently recovered and
spectroscopically confirmed 107 of the 109 (98%) PNe that were previously known
to exist in the outer LMC. The majority of our newly discovered and previously
known PNe were confirmed using the AAOmega, multi-object fibre spectroscopy
system on the 3.9-m Anglo-Australian Telescope (AAT) and the 6dF multi-object
spectrograph on the UKST. These newly identified PNe were cross-checked against
extant multi-wavelength imaging surveys in the near and mid-infrared in
particular and against the latest emission-line ratio diagnostic plots for
improved confidence in PNe identification.


title: Anomalous Nernst Effects of [CoSiB/Pt] Multilayer Films

abstract:
  We report a measurement for the anomalous Nernst effects induced by a
temperature gradient in [CoSiB/Pt] multilayer films with perpendicular magnetic
anisotropy. The Nernst voltage shows a characteristic hysteresis which reflects
the magnetization of the film as in the case of the anomalous Hall effects.
With a local heating geometry, we also measure the dependence of the anomalous
Nernst voltage on the distance d from the heating element. It is roughly
proportional to 1/d^1.3, which can be conjectured from the expected temperature
gradient along the sample from the heat equation.


title: Finding RR Lyrae Stars with SkyMapper: an Observational Test

abstract:
  One of the major science goals of the SkyMapper Survey of the Southern
Hemisphere sky is the determination of the shape and extent of the halo of the
Galaxy. In this paper we quantify the likely efficiency and completeness of the
survey as regards the detection of RR Lyrae variable stars, which are excellent
tracers of the halo stellar population. We have accomplished this via
observations of the RR Lyrae-rich globular cluster NGC 3201. We find that for
single epoch uvgri observations followed by two further epochs of g, r imaging,
as per the intended three-epoch survey strategy, we recover known RR Lyraes
with a completeness exceeding 90%. We also investigate boundaries in the
gravity-sensitive single-epoch two-color diagram that yield high completeness
and high efficiency (i.e., minimal contamination by non-RR Lyraes) and the
general usefulness of this diagram in separating populations.


title: Local observation of pair-condensation in a Fermi gas at unitarity

abstract:
  We present measurements of the local (homogeneous) density-density response
function of a Fermi gas at unitarity using spatially resolved Bragg
spectroscopy. By analyzing the Bragg response across one axis of the cloud we
extract the response function for a uniform gas which shows a clear signature
of the Bose-Einstein condensation of pairs of fermions when the local
temperature drops below the superfluid transition temperature. The method we
use for local measurement generalizes a scheme for obtaining the local pressure
in a harmonically trapped cloud from the line density and can be adapted to
provide any homogeneous parameter satisfying the local density approximation.


title: Analytically computable tangle for three-qubit mixed states

abstract:
  We present a new tripartite entanglement measure for three-qubit mixed
states. The new measure $t_{\mathrm{r}}(\rho)$, which we refer to as the
r-tangle, is given as a kind of the tangle, but has a feature which the tangle
does not have; if we can derive an analytical form of $ t_{\mathrm{r}}(\rho)$
for a three-qubit mixed state $\rho$, we can also derive
$t_{\mathrm{r}}(\rho')$ analytically for any states $\rho'$ which are
SLOCC-equivalent to the state $\rho$. The concurrence of two-qubit states also
satisfies the feature, but the tangle does not. These facts imply that the
r-tangle $t_{\mathrm{r}}$ is the appropriate three-partite counterpart of the
concurrence. We also derive an analytical form of the r-tangle $t_{\mathrm{r}}$
for mixtures of a generalized GHZ state and a generalized W state, and hence
for all states which are SLOCC-equivalent to them.


title:
Evaluation of measurement accuracy of $h \to \tau ^+ \tau ^-$ branching
  ratio at the ILC with $\sqrt{s} = 250$ GeV and 500 GeV

abstract:
  We evaluate the measurement accuracy of the branching ratio of $h \to \tau ^+
\tau ^-$ at $\sqrt{s} = 250$ GeV and 500 GeV at the ILC with the ILD detector
simulation. For the $\sqrt{s} = 250$ GeV, we assume the Higgs mass of $M_h =
120$ GeV, branching ratio of $\mathrm{Br}(h \to \tau ^+ \tau ^-) = 8.0 \ %$,
beam polarization of $P(e^-, e^+) = (-0.8, +0.3)$, and integrated luminosity of
$\int L \ dt = 250 \ \mathrm{fb ^{-1}}$. The Higgs-strahlung process $e^+ e^-
\to Zh$ with $Z \to e^+ e^-$, $Z \to \mu ^+ \mu ^-$, $Z \to q\bar{q}$ mode are
analyzed. The measurement accuracy is calculated to be $\Delta (\sigma \cdot
\mathrm{Br}) / (\sigma \cdot \mathrm{Br}) = 3.5 \ %$. The scaled result to $M_h
= 125$ GeV is estimated to be $4.2 \ %$. For the $\sqrt{s} = 500$ GeV, we
assume the Higgs mass of $M_h = 125$ GeV, branching ratio of $\mathrm{Br}(h \to
\tau ^+ \tau ^-) = 6.32 \ %$, beam polarization of $P(e^-, e^+) = (-0.8,
+0.3)$, and integrated luminosity of $\int L \ dt = 500 \ \mathrm{fb ^{-1}}$.
The Higgs-strahlung process $e^+ e^- \to Zh$ with $Z \to q\bar{q}$ mode and
$WW$-fusion process $e^+ e^- \to \nu_e \bar{\nu_e} h$ are analyzed. The
measurement accuracy is calculated to be $\Delta (\sigma \cdot \mathrm{Br}) /
(\sigma \cdot \mathrm{Br}) = 5.7 \ %$ for Higgs-strahlung with $Z \to q\bar{q}$
and $7.5 \ %$ for $WW$-fusion.


title:
Cyclic decomposition of k-permutations and eigenvalues of the
  arrangement graphs

abstract:
  The (n,k)-arrangement graph A(n,k) is a graph with all the k-permutations of
an n-element set as vertices where two k-permutations are adjacent if they
agree in exactly k-1 positions. We introduce a cyclic decomposition for
k-permutations and show that this gives rise to a very fine equitable partition
of A(n,k). This equitable partition can be employed to compute the complete set
of eigenvalues (of the adjacency matrix) of A(n,k). Consequently, we determine
the eigenvalues of A(n,k) for small values of k. Finally, we show that any
eigenvalue of the Johnson graph J(n,k) is an eigenvalue of A(n,k) and that -k
is the smallest eigenvalue of A(n,k) with multiplicity O(n^k) for fixed k.


title: Quantum Mechanics on a Poincar\'e Hyperboloid

abstract:
  We discuss the process to obtain Poisson brackets among the phase-space
variables of a system of a charged particle on a Poincar\'e hyperboloid in the
presence of a uniform magnetic field. We show that after quantization the Dirac
bracket algebra becomes the algebra of ISO(1,2). The representation of this
algebra is explicitly analyzed and the Hamiltonian of this system has been
derived.


title: Four squares of primes and powers of 2

abstract:
  By developing the method of Wooley on the quadratic Waring-Goldbach problem,
we prove that all sufficiently large even integers can be expressed as a sum of
four squares of primes and 46 powers of 2.


title:
Law of large numbers for the SIR epidemic on a random graph with given
  degrees

abstract:
  We study the susceptible-infective-recovered (SIR) epidemic on a random graph
chosen uniformly subject to having given vertex degrees. In this model
infective vertices infect each of their susceptible neighbours, and recover, at
a constant rate.
  Suppose that initially there are only a few infective vertices. We prove
there is a threshold for a parameter involving the rates and vertex degrees
below which only a small number of infections occur. Above the threshold a
large outbreak occurs with probability bounded away from zero. Our main result
is that, conditional on a large outbreak, the evolutions of certain quantities
of interest, such as the fraction of infective vertices, converge to
deterministic functions of time.
  We also consider more general initial conditions for the epidemic, and derive
criteria for a simple vaccination strategy to be successful.
  In contrast to earlier results for this model, our approach only requires
basic regularity conditions and a uniformly bounded second moment of the degree
of a random vertex.
  En route, we prove analogous results for the epidemic on the configuration
model multigraph under much weaker conditions. Essentially, our main result
requires only that the initial values for our processes converge, i.e. it is
the best possible.


title: Mod\'elisation micromagn\'etique du comportement magn\'eto-m\'ecanique

abstract:
  A magneto-mechanical static modeling of ferromagnetic particle based on
minimization of an energy function is presented. This modeling is made of a
conjugate gradient method coupled with finite element method for the mechanical
problem resolution. Some illustrations on iron single crystal are given in 2D
framework.


title:
Influence of solvation on the structural and capacitive properties of
  electrical double layer capacitors

abstract:
  We use molecular dynamics simulations to explore the impact of a non-ionic
solvent on the structural and capacitive properties of supercapacitors based on
an ionic liquid electrolyte and carbon electrodes. The study is focused on two
pure ionic liquids, namely 1-butyl-3-methylimidazolium hexafluorophosphate and
1-butyl-3-methylimidazolium tetrafluoroborate, and their 1.5 M solutions in
acetonitrile. The electrolytes, represented by coarse-grained models, are
enclosed between graphite electrodes. We employ a constant potential
methodology which allows us to gain insight into the influence of solvation on
the polarization of the electrodes as well as the structural and capacitive
properties of the electrolytes at the interface. We show that the interfacial
characteristics, different for two distinct pure ionic liquids, become very
similar upon mixing with acetonitrile.


title:
Progress on the Construction of the 100 MeV / 100 kW Electron Linac for
  the NSC KIPT Neutron Source

abstract:
  IHEP, China is constructing a 100 MeV / 100 kW electron Linac for NSC KIPT,
Ukraine. This linac will be used as the driver of a neutron source based on a
subcritical assembly. In 2012, the injector part of the accelerator was
pre-installed as a testing facility in the experimental hall #2 of IHEP. The
injector beam and key hardware testing results were met the design goal.
Recently, the injector testing facility was disassembled and all of the
components for the whole accelerator have been shipped to Ukraine from China by
ocean shipping. The installation of the whole machine in KIPT will be started
in June, 2013. The construction progress, the design and testing results of the
injector beam and key hardware are presented.


title: Traces of functions of bounded deformation

abstract:
  This paper is devoted to give a simplified proof of the trace theorem for
functions of bounded deformation defined on bounded Lipschitz domains of
$\mathbb{R}^n$. As a consequence, the existence of one-sided Lebesgue limits on
countably $\mathcal{H}^{n-1}$-rectifiable sets is also established.


title:
Precursors and Outbursts of A 0535+26 in 2009-2011 observed by the
  MAXI/GSC and the Swift/BAT

abstract:
  Over the 3-year active period from 2008 September to 2011 November, the
outburst behavior of the Be/X-ray binary A 0535+26 was continuously monitored
with the MAXI/GSC and the Swift/BAT. The source exhibited nine outbursts, every
binary revolution of 111.1 days, of which two are categorized into the giant
(type-II) outbursts. The recurrence period of these outbursts is found to be
$\sim115$ days, significantly longer than the orbital period of 111.1 days.
With the MAXI/GSC, a low-level active period, or a "precursor", was detected
prior to at least four giant outbursts. The precursor recurrence period agrees
with that of the giant outbursts. The period difference of the giant outbursts
from the orbital period is possibly related with some structures in the
circumstellar disc formed around the Be companion. Two scenarios, one based on
a one-armed disc structure and the other a Be-disc precession, are discussed.


title:
Linear models and linear mixed effects models in R with linguistic
  applications

abstract:
  This text is a conceptual introduction to mixed effects modeling with
linguistic applications, using the R programming environment. The reader is
introduced to linear modeling and assumptions, as well as to mixed
effects/multilevel modeling, including a discussion of random intercepts,
random slopes and likelihood ratio tests. The example used throughout the text
focuses on the phonetic analysis of voice pitch data.


title: On the arithmetic of crossratios and generalised Mertens' formulas

abstract:
  We develop the relation between hyperbolic geometry and arithmetic
equidistribution problems that arises from the action of arithmetic groups on
real hyperbolic spaces, especially in dimension up to 5. We prove
generalisations of Mertens' formula for quadratic imaginary number fields and
definite quaternion algebras over the rational numbers, counting results of
quadratic irrationals with respect to two different natural complexities, and
counting results of representations of (algebraic) integers by binary
quadratic, Hermitian and Hamiltonian forms with error bounds. For each such
statement, we prove an equidistribution result of the corresponding
arithmetically defined points. Furthermore, we study the asymptotic properties
of crossratios of such points, and expand Pollicott's recent results on the
Schottky-Klein prime functions.


title: Improvement in Fast Particle Track Reconstruction with Robust Statistics

abstract:
  The IceCube project has transformed one cubic kilometer of deep natural
Antarctic ice into a Cherenkov detector. Muon neutrinos are detected and their
direction inferred by mapping the light produced by the secondary muon track
inside the volume instrumented with photomultipliers. Reconstructing the muon
track from the observed light is challenging due to noise, light scattering in
the ice medium, and the possibility of simultaneously having multiple muons
inside the detector, resulting from the large flux of cosmic ray muons. This
manuscript describes work on two problems: (1) the track reconstruction
problem, in which, given a set of observations, the goal is to recover the
track of a muon; and (2) the coincident event problem, which is to determine
how many muons are active in the detector during a time window. Rather than
solving these problems by developing more complex physical models that are
applied at later stages of the analysis, our approach is to augment the
detectors early reconstruction with data filters and robust statistical
techniques. These can be implemented at the level of on-line reconstruction
and, therefore, improve all subsequent reconstructions. Using the metric of
median angular resolution, a standard metric for track reconstruction, we
improve the accuracy in the initial reconstruction direction by 13%. We also
present improvements in measuring the number of muons in coincident events: we
can accurately determine the number of muons 98% of the time.


title: Tasks and premises in quantum state determination

abstract:
  The purpose of quantum tomography is to determine an unknown quantum state
from measurement outcome statistics. There are two obvious ways to generalize
this setting. First, our task need not be the determination of any possible
input state but only some input states, for instance pure states. Second, we
may have some prior information, or premise, which guarantees that the input
state belongs to some subset of states, for instance the set of states with
rank less than half of the dimension of the Hilbert space. We investigate state
determination under these two supplemental features, concentrating on the cases
where the task and the premise are statements about the rank of the unknown
state. We characterize the structure of quantum observables (POVMs) that are
capable of fulfilling these type of determination tasks. After the general
treatment we focus on the class of covariant phase space observables, thus
providing physically relevant examples of observables both capable and
incapable of performing these tasks. In this context, the effect of noise is
discussed.


title: Design and test of SX-FEL cavity BPM

abstract:
  This paper reports the design and cold test of the cavity beam position
monitor (CBPM) for SX-FEL to fulfill the requirement of beam position
measurement resolution of less than 1{\mu}m, even 0.1{\mu}m. The CBPM was
optimized by using a coupling slot to damp the TM010 mode in the output signal.
The isolation of TM010 mode is about 117dB, and the shunt impedance is about
200{\Omega}@4.65GHz with the quality factor 80 from MAFIA simulation and test
result. A special antenna was designed to load power for reducing excitation of
other modes in the cavity. The resulting output power of TM110 mode was about
90mV/mm when the source was 6dBm, and the accomplishable minimum voltage was
about 200{\mu}V. The resolution of the CBPM was about 0.1{\mu}m from the linear
fitting result based on the cold test.


title:
Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein
  condensates

abstract:
  We theoretically and numerically study spin turbulence (ST) with small spin
magnitude in spin-1 spinor Bose-Einstein condensates by using the spin-1 spinor
Gross-Pitaevskii (GP)equations. This kind of ST is realized in two cases: (i)
with antiferromagnetic interaction and (ii) with ferromagnetic interaction
under a static magnetic field. The ST with small spin magnitude can exhibit two
characteristic power laws in the spectrum of the spin-dependent interaction
energy: -1 and -7/3 power laws in the low- and high-wave-number regions,
respectively. These power laws are derived from a Kolmogorov-type dimensional
scaling analysis for the equations of motion of the spin vector and nematic
tensor. To confirm these power laws, we perform a numerical calculation of the
spin-1 spinor GP equations in a two-dimensional uniform system. In case (i),
the -7/3 power law appears in the high-wave-number region, but the spectrum in
the low-wave-number region deviates from the -1 power law. In contrast, both -1
and -7/3 power laws are found to clearly appear in case (ii).


title:
Enhancement of antiferromagnetic interaction and transition temperature
  in M3TeO6 systems (M = Mn, Co, Ni, Cu)

abstract:
  Several M3 TeO6 (M = Mn, Co, Ni, Cu) oxides order antiferromagnetically at
low temperatures (near or below 60 K), while displaying interesting dielectric
properties at high temperatures (ferroelectricity below 1000 K in M = Ni case).
We have investigated and analyzed the structural and magnetic properties of
Mn-doped Co3 TeO6 and Ni3 TeO6, which order antiferromagnetically at
temperatures higher than their undoped counterparts.


title:
Algorithmic randomness and Ramsey properties of countable homogeneous
  structures

abstract:
  We study, in the context of algorithmic randomness, the closed amenable
subgroups of the symmetric group $S_\infty$ of a countable set. In this paper
we address this problem by investigating a link between the symmetries
associated with Ramsey Fra\"iss\'e order classes and algorithmic randomness.


title: Distribution of xp in some molecular rotational states

abstract:
  Developing the analysis of the distribution of the so-called posmom xp to the
spherical harmonics that represents some molecular rotational states for such
as diatomic molecules and spherical cage molecules, we obtain posmometry
(introduced recently by Y. A. Bernard and P. M. W. Gill, Posmom: The Unobserved
Observable, J. Phys. Chem. Lett. 1(2010)1254) of the spherical harmonics and
demonstrate that it bears a striking resemblance to the momentum distributions
of the stationary states for a one-dimensional simple harmonic oscillator.


title: Product-Quotient Surfaces: new invariants and algorithms

abstract:
  In this article we suggest a new approach to the systematic, computer-aided
construction and to the classification of product-quotient surfaces,
introducing a new invariant, the integer gamma, which depends only on the
singularities of the quotient model X=(C_1 x C_2)/G. It turns out that gamma is
related to the codimension of the subspace of H^{1,1} generated by algebraic
curves coming from the construction (i.e., the classes of the two fibers and
the Hirzebruch-Jung strings arising from the minimal resolution of
singularities of X).
  Profiting from this new insight we developped and implemented an algorithm
which constructs all regular product-quotient surfaces with given values of
gamma and geometric genus in the computer algebra program MAGMA. Being far
better than the previous algorithms, we are able to construct a substantial
number of new regular product-quotient surfaces of geometric genus zero. We
prove that only two of these are of general type, raising the number of known
families of product-quotient surfaces of general type with genus zero to 75.
This gives evidence to the conjecture that there is an effective bound of the
form gamma < Gamma(p_g,q).


title: Torus Knots in Lens Spaces & Topological Strings

abstract:
  We study the invariant of knots in lens spaces defined from quantum
Chern-Simons theory. By means of the knot operator formalism, we derive a
generalization of the Rosso-Jones formula for torus knots in L(p,1). In the
second part of the paper, we propose a B-model topological string theory
description of torus knots in L(2,1).


title: Optimisation of Quantum Trajectories Driven by Strong-field Waveforms

abstract:
  Quasi-free field-driven electron trajectories are a key element of
strong-field dynamics. Upon recollision with the parent ion, the energy
transferred from the field to the electron may be released as attosecond
duration XUV emission in the process of high harmonic generation (HHG). The
conventional sinusoidal driver fields set limitations on the maximum value of
this energy transfer, and it has been predicted that this limit can be
significantly exceeded by an appropriately ramped-up cycleshape. Here, we
present an experimental realization of such cycle-shaped waveforms and
demonstrate control of the HHG process on the single-atom quantum level via
attosecond steering of the electron trajectories. With our optimized optical
cycles, we boost the field-ionization launching the electron trajectories,
increase the subsequent field-to-electron energy transfer, and reduce the
trajectory duration. We demonstrate, in realistic experimental conditions, two
orders of magnitude enhancement of the generated XUV flux together with an
increased spectral cutoff. This application, which is only one example of what
can be achieved with cycle-shaped high-field light-waves, has farreaching
implications for attosecond spectroscopy and molecular self-probing.


title: Reflected BSDEs with nonpositive jumps, and controller-and-stopper games

abstract:
  We study a class of reflected backward stochastic differential equations with
nonpositive jumps and upper barrier. Existence and uniqueness of a minimal
solution is proved by a double penalization approach under regularity
assumptions on the obstacle. In a suitable regime switching diffusion
framework, we show the connection between our class of BSDEs and fully
nonlinear variational inequalities. Our BSDE representation provides in
particular a Feynman-Kac type formula for PDEs associated to general zero-sum
stochastic differential controller-and-stopper games, where control affect both
drift and diffusion term, and the diffusion coefficient can be degenerate.
Moreover, we state a dual game formula of this BSDE minimal solution involving
equivalent change of probability measures, and discount processes. This gives
in particular a new representation for zero-sum stochastic differential
controller-and-stopper games.


title:
Generalized lock-in amplifier for precision measurement of high
  frequency signals

abstract:
  We herein formulate the concept of a generalized lock-in amplifier for the
precision measurement of high frequency signals based on digital cavities.
Accurate measurement of signals higher than 200 MHz using the generalized
lock-in is demonstrated. The technique is compared with a traditional lock-in
and its advantages and limitations are discussed. We also briefly point out how
the generalized lock-in can be used for precision measurement of giga-hertz
signals by using parallel processing of the digitized signals.


title: The Metabolism and Growth of Web Forums

abstract:
  We view web forums as virtual living organisms feeding on user's attention
and investigate how these organisms grow at the expense of collective
attention. We find that the "body mass" ($PV$) and "energy consumption" ($UV$)
of the studied forums exhibits the allometric growth property, i.e., $PV_t \sim
UV_t ^ \theta$. This implies that within a forum, the network transporting
attention flow between threads has a structure invariant of time, despite of
the continuously changing of the nodes (threads) and edges (clickstreams). The
observed time-invariant topology allows us to explain the dynamics of networks
by the behavior of threads. In particular, we describe the clickstream
dissipation on threads using the function $D_i \sim T_i ^ \gamma$, in which
$T_i$ is the clickstreams to node $i$ and $D_i$ is the clickstream dissipated
from $i$. It turns out that $\gamma$, an indicator for dissipation efficiency,
is negatively correlated with $\theta$ and $1/\gamma$ sets the lower boundary
for $\theta$. Our findings have practical consequences. For example, $\theta$
can be used as a measure of the "stickiness" of forums, because it quantifies
the stable ability of forums to convert $UV$ into $PV$, i.e., to remain users
"lock-in" the forum. Meanwhile, the correlation between $\gamma$ and $\theta$
provides a convenient method to evaluate the `stickiness" of forums. Finally,
we discuss an optimized "body mass" of forums at around $10^5$ that minimizes
$\gamma$ and maximizes $\theta$.


title: The selective transfer of patterned graphene

abstract:
  Graphene is an emerging class of two-dimensional (2D) material with unique
electrical properties and a wide range of potential practical applications. In
addition, graphene hybrid structures combined with other 2D materials, metal
microstructures, silicon photonic crystal cavities, and waveguides have more
extensive applications in van der Waals heterostructures, hybrid graphene
plasmonics, hybrid optoelectronic devices, and optical modulators. Based on
well-developed transfer methods, graphene grown by chemical vapor deposition
(CVD) is currently used in most of the graphene hybrid applications. Although
mechanical exfoliation of highly oriented pyrolytic graphite provides the
highest-quality graphene, the transfer of the desired microcleaving graphene
(MG) to the structure at a specific position is a critical challenge, that
limits the combination of MG with other structures. Herein, we report a new
technique for the selective transfer of MG patterns and devices onto chosen
targets using a bilayer-polymer structure and femtosecond laser
microfabrication. This selective transfer technique, which exactly transfers
the patterned graphene onto a chosen target, leaving the other flakes on the
original substrate, provides an efficient route for the fabrication of MG-based
microdevices. This method will facilitate the preparation of van der Waals
heterostructures and enable the optimization of the performance of graphene
hybrid devices.


title:
An embedding theorem of $\mathbb{E}_{0}$ with model theoretic
  applications

abstract:
  We provide a new criterion for embedding $\mathbb{E}_{0}$, and apply it to
equivalence relations in model theory. This generalize the results of the
authors and Pierre Simon on the Borel cardinality of Lascar strong types
equality, and Newelski's results about pseudo $F_{\sigma}$ groups.


title: Moderate deviations for spectral measures of random matrix ensembles

abstract:
  In this paper we consider the (weighted) spectral measure $\mu_n$ of a
$n\times n$ random matrix, distributed according to a classical Gaussian,
Laguerre or Jacobi ensemble, and show a moderate deviation principle for the
standardised signed measure $\sqrt{n/a_n}(\mu_n -\sigma)$. The centering
measure $\sigma$ is the weak limit of the empirical eigenvalue distribution and
the rate function is given in terms of the $L^2$-norm of the density with
respect to $\sigma$. The proof involves the tridiagonal representations of the
ensembles which provide us with a sequence of independent random variables and
a link to orthogonal polynomials.


title: The infinite random simplicial complex

abstract:
  We study the Fraisse limit of the class of all finite simplicial complexes.
Whilst the natural model-theoretic setting for this class uses an infinite
language, a range of results associated with Fraisse limits of structures for
finite languages carry across to this important example. We introduce the
notion of a local class, with the class of finite simplicial complexes as an
archetypal example, and in this general context prove the existence of a 0-1
law and other basic model-theoretic results. Constraining to the case where all
relations are symmetric, we show that every direct limit of finite groups, and
every metrizable profinite group, appears as a subgroup of the automorphism
group of the Fraisse limit. Finally, for the specific case of simplicial
complexes, we show that the geometric realisation is topologically surprisingly
simple: despite the combinatorial complexity of the Fraisse limit, its
geometric realisation is homeomorphic to the infinite simplex.


title: Frequency Regularities in $\delta$ Scuti Stars

abstract:
  Space missions have produced an incredibly large database on pulsating stars.
The light curves via the frequency content contain a detailed description of
each star. The critical point is the identification of modes, especially in the
non-asymptotic regime. The best derived parameters from the frequency content
of a pulsating star light curve are the frequency differences and ratios. This
presentation focuses on the potential of period ratios in mode identification.


title: Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices

abstract:
  Two-component dipolar fermions in zigzag optical lattices allow for the
engineering of spin-orbital models. We show that dipolar lattice fermions
permit the exploration of a regime typically unavailable in solid-state
compounds that is characterized by a novel spin-liquid phase with a finite
magnetization and spontaneously broken SU(2) symmetry. This peculiar spin
liquid may be understood as a Luttinger liquid of composite particles
consisting of bound states of spin waves and orbital domain walls moving in an
unsaturated ferromagnetic background. In addition, we show that the system
exhibits a boundary phase transitions involving non-local entanglement of edge
spins.


title:
The low-extinction afterglow in the solar-metallicity host galaxy of GRB
  110918A

abstract:
  Galaxies selected through long gamma-ray bursts (GRBs) could be of
fundamental importance when mapping the star formation history out to the
highest redshifts. Before using them as efficient tools in the early Universe,
however, the environmental factors that govern the formation of GRBs need to be
understood. Metallicity is theoretically thought to be a fundamental driver in
GRB explosions and energetics, but is still, even after more than a decade of
extensive studies, not fully understood. This is largely related to two
phenomena: a dust-extinction bias, that prevented high-mass and thus likely
high-metallicity GRB hosts to be detected in the first place, and a lack of
efficient instrumentation, that limited spectroscopic studies including
metallicity measurements to the low-redshift end of the GRB host population.
The subject of this work is the very energetic GRB 110918A, for which we
measure one of the largest host-integrated metallicities, ever, and the highest
stellar mass for z<1.9. This presents one of the very few robust metallicity
measurements of GRB hosts at z~1, and establishes that GRB hosts at z~1 can
also be very metal rich. It conclusively rules out a metallicity cut-off in GRB
host galaxies and argues against an anti-correlation between metallicity and
energy release in GRBs.


title:
Realization of bulk insulating property and carrier manipulation in
  reversible spin current regime of the ideal topological insulator TlBiSe2

abstract:
  The surfaces of three-dimensional topological insulators (TIs) characterized
by a spin-helical Dirac fermion provide a fertile ground for realizing exotic
phenomena as well as having potential for wide-ranging applications. To realize
most of their special properties, the Dirac point (DP) is required to be
located near the Fermi energy with a bulk insulating property while it is
hardly achieved in most of the discovered TIs. It has been recently found that
TlBiSe2 features an in-gap DP, where upper and lower parts of surface Dirac
cone are both utilized. Nevertheless, investigations of the surface transport
properties of this material are limited due to the lack of bulk insulating
characteristics. Here, we present the first realization of bulk insulating
property by tuning the composition of Tl1-xBi1+xSe2-d without introducing guest
atoms that can bring the novel properties into the reality. This result
promises to shed light on new exotic topological phenomena on the surface.


title: Isosystolic inequalities for optical hypersurfaces

abstract:
  We explore a natural generalization of systolic geometry to Finsler metrics
and optical hypersurfaces with special emphasis on its relation to the Mahler
conjecture and the geometry of numbers. In particular, we show that if an
optical hypersurface of contact type in the cotangent bundle of the
2-dimensional torus encloses a volume $V$, then it carries a periodic
characteristic whose action is at most $\sqrt{V/3}$. This result is deduced
from an interesting dual version of Minkowski's lattice-point theorem: if the
origin is the unique integer point in the interior of a planar convex body, the
area of its dual body is at least 3/2.


title: Numerical Chladni figures

abstract:
  Chladni patterns of vibrating membranes or thin plates faszinated the people
already in the eighteenth century. As a simple way to visualize acoustic
phenomena it is a valuable experiment for beginners' courses. In this paper I
present NumChladni, an interactive tool for studying arbitrary two-dimensional
vibrating membranes based on the Finite Element method. I also describe the
straightforward approach of the underlying mathematical details and give some
examples. NumChladni is directly applicable in the undergraduate classroom as,
for example, complementary application to experimental setups.


title: Experimental study of plasma window

abstract:
  Plasma window is an advanced apparatus which can work as the interface
between vacuum and high pressure region. It can be used in many applications
which need atmosphere-vacuum interface, such as gas target, electron beam
welding, synchrotron radiation and spallation neutron source. A test bench of
plasma window is constructed in Peking University. A series of experiments and
corresponding parameter measurements have been presented in this article. The
experiment result indicates the feasibility of such a facility acting as an
interface between vacuum and high pressure region.


title: Cosmological Perturbations from Hybrid Potentials

abstract:
  Cosmological inflation is the dominating paradigm to account for observations
of the Cosmic Microwave Background (CMB). In this thesis, we study the
phenomenology of a class of particularly well motivated models of inflation,
known under the generic name of hybrid models. They are characterised by a
transition from a valley to a hilltop shaped potential. In particular, we study
three limiting regimes of the simplest realisation, hybrid inflation,
constraining its parameter space using observational bounds on the spectral
index and the non-gaussianity of the primordial perturbations. We find that the
model is highly constrained by observations, with large part of the parameter
space either ruled out by a blue spectral index ($n_s>1$) or by a large
non-gaussianity parameter $f_{rm NL}$, two quantities measured with precision
by PLANCK. However, there exists regions in parameter space leading to
interesting phenomenology compatibly with observational bounds. Also, a version
of hybrid inflation with a third light scalar field at horizon crossing is
derived from the supersymmetry framework. We find that the model can generate
observables within observational bounds.


title: Dynamics of Coupled Maps in Heterogeneous Random Networks

abstract:
  We study expanding circle maps interacting in a heterogeneous random network.
Heterogeneity means that some nodes in the network are massively connected,
while the remaining nodes are only poorly connected. We provide a probabilistic
approach which enables us to describe the effective dynamics of the massively
connected nodes when taking a weak interaction limit. More precisely, we show
that for almost every random network and almost all initial conditions the high
dimensional network governing the dynamics of the massively connected nodes can
be reduced to a few macroscopic equations. Such reduction is intimately related
to the ergodic properties of the expanding maps. This reduction allows one to
explore the coherent properties of the network.


title: Symmetry energy of warm nuclear systems

abstract:
  The temperature dependence of the symmetry energy and symmetry free energy
coefficients of infinite nuclear matter and of finite nuclei is investigated.
For infinite matter, both these coefficients are found to have a weaker
dependence on temperature at densities close to saturation; at low but
homogeneous densities, the temperature dependence becomes stronger. For finite
systems, different definitions of symmetry energy coefficients are encountered
in the literature yielding different values. A resolution to this problem is
suggested from a global liquid-drop-inspired fit of the energies and free
energies of a host of nuclei covering the entire periodic table. The hot
nucleus is modeled in a subtracted finite-temperature-Thomas-Fermi framework,
with dynamical surface phonon coupling to nucleonic motion plugged in. Contrary
to infinite nuclear matter, a substantial change in the symmetry energy
coefficients is observed for finite nuclei with temperature.


title:
Chimera States in a Two-Population Network of Coupled Pendulum-Like
  Elements

abstract:
  More than a decade ago, a surprising coexistence of synchronous and
asynchronous behavior called the chimera state was discovered in networks of
nonlocally coupled identical phase oscillators. In later years, chimeras were
found to occur in a variety of theoretical and experimental studies of chemical
and optical systems, as well as models of neuron dynamics. In this work, we
study two coupled populations of pendulum-like elements represented by phase
oscillators with a second derivative term multiplied by a mass parameter $m$
and treat the first order derivative terms as dissipation with parameter
$\epsilon>0$. We first present numerical evidence showing that chimeras do
exist in this system for small mass values $0<m<<1$. We then proceed to explain
these states by reducing the coherent population to a single damped pendulum
equation driven parametrically by oscillating averaged quantities related to
the incoherent population.


title: Quasi-periodic Solutions of the Spatial Lunar Three-body Problem

abstract:
  By application of KAM theorem to Lidov-Ziglin's global study of the
quadrupolar approximation of the spatial lunar three-body problem, we establish
the existence of several families of quasi-periodic orbits in the spatial lunar
three-body problem.


title:
Linear Stabily analysis of hydromagnetic Couette flow with small
  injection/suction through the modified Orr-Sommerfeld equation

abstract:
  This paper analyses the effects of small injection/suction Reynolds number,
Hartmann number, permeability parameter and wave number on a viscous
incompressilbe electrically conduction fluid flow in a parallel porous channel.
The plates of the channel with small constant injection/suction, have constant
temperature. The upper plate is allowed to mouve in flow direction and the
lower plate is kept at rest. A magnetic field of uniform strength is also
applied normally to the plates what are parallel. The originality of the paper
is to study the effect of the above parameter in temporal linear stabilty
analysis of the flow throught the modified Orr-Sommerfeld equation.


title: Complexity of localised coherent structures in a boundary-layer flow

abstract:
  We study numerically transitional coherent structures in a boundary-layer
flow with homogeneous suction at the wall (the so-called asymptotic suction
boundary layer ASBL). The dynamics restricted to the laminar-turbulent
separatrix is investigated in a spanwise-extended domain that allows for robust
localisation of all edge states. We work at fixed Reynolds number and study the
edge states as a function of the streamwise period. We demonstrate the complex
spatio-temporal dynamics of these localised states, which exhibits
multistability and undergoes complex bifurcations leading from periodic to
chaotic regimes. It is argued that in all regimes the dynamics restricted to
the edge is essentially low-dimensional and non-extensive.


title: On Spherical Slant Helices in Euclidean 3-Space

abstract:
  In this paper we consider the spherical slant helices in $R^3$. More- over,
we show how could be obtained to a spherical slant helix and we give some
spherical slant helix examples in Euclidean 3-space.


title: Climate Change and Open Science

abstract:
  Obtaining reliable answers to the major scientific questions raised by
climate change in time to take appropriate action gives added urgency to the
open access program.


title: Maxima of Weibull-like distributions and the Lambert W function

abstract:
  The Weibull--like distributions form a large class of probability
distributions that belong to the domain of attraction for the maxima of the
Gumbel law. Besides the Weibull distribution, it includes important
distributions as the Gamma laws and, in particular, the $\chi^2$ distributions.
In order to have explicit expressions of the norming constants for the maxima
it is necessary to solve asymptotically a nonlinear equation; however, for some
members of that family, numerical and simulation studies show that the
constants that are usual suggested are inaccurate for moderate or even large
sample sizes. In this paper we propose other norming constants computed with
the asymptotics of the Lambert W function that significantly improve the
accuracy of the approximation to the Gumbel law. These results are applied to
the computation of the constants for the maxima of Gamma random variables that
appear in some applied problems.


title:
Twisted cycles and twisted period relations for Lauricella's
  hypergeometric function F_C

abstract:
  We study Lauricella's hypergeometric function F_C by using twisted
(co)homology groups. We construct twisted cycles with respect to an Euler-type
integral representation of F_C. These cycles correspond to 2^m linearly
independent solutions to the system of differential equations annihilating F_C.
Using intersection forms of twisted (co)homology groups, we obtain twisted
period relations which give quadratic relations for Lauricella's F_C.


title: Cross-training with Imperfect training Schemes

abstract:
  Cross-training workers is one of the most efficient ways to achieve
flexibility in manufacturing and service systems to increase responsiveness to
demand variability. However, it is generally the case that cross-trained
employees are not as productive as employees who are originally trained on a
specific task. Also, the productivity of the cross-trained workers depend on
when they are cross-trained. In this work, we consider a two-stage model to
analyze the affect of variations in productivity levels of workers on
cross-training policies. Our results indicate that the most important factor
determining the problem structure is the consistency in productivity levels of
workers trained at different times. As long as cross-training can be done in a
consistent manner, the productivity differences between cross-trained workers
and workers originally trained on the task plays a minor role. We also analyze
the effect of the variabilities in demand and producivity levels. We show that
if the productivity levels of workers trained at different times are
consistent, the decision maker is inclined to defer the cross-training
decisions as the variability of demand or productivity levels increases.
However, when the productivities of workers trained at different times differ,
the decision maker may prefer to invest more in cross-training earlier as
variability increases.


title: Rapoport-Zink spaces of Hodge type

abstract:
  When $p>2$, we construct a Hodge-type analogue of Rapoport-Zink spaces under
the unramifiedness assumption, as formal schemes parametrising "deformations"
(up to quasi-isogeny) of $p$-divisible groups with certain crystalline Tate
tensors. We also define natural rigid analytic towers with expected extra
structure, providing more examples of "local Shimura varieties" conjectured by
Rapoport and Viehmann.


title: Investigation of a 2-Colour Undulator FEL Using Puffin

abstract:
  Initial studies of a 2-colour FEL amplifier using one monoenergetic electron
beam are presented. The interaction is modelled using the unaveraged, broadband
FEL code Puffin. A series of undulator modules are tuned to generate two
resonant frequencies along the FEL interaction and a self-consistent 2-colour
FEL interaction at widely spaced non-harmonic wavelengths at 1nm and 2.4nm is
demonstrated.


title:
Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction
  and Causality

abstract:
  We consider in detail the most general cubic Lagrangian which describes an
interaction between two identical higher spin fieldsin a triplet formulation
with a scalar field, all fields having the same values of the mass. After
performing the gauge fixing procedure we find that for the case of massive
fields the gauge invariance does not guarantee the preservation of the correct
number of propagating physical degrees of freedom. In order to get the correct
number of degrees of freedom for the massive higher spin field one should
impose some additional conditions on parameters of the vertex. Further
independent constraints are provided by the causality analysis, indicating that
the requirement of causality should be imposed in addition to the requirement
of gauge invariance in order to have a consistent propagation of massive higher
spin fields.


abstract:
  The concept of Faltings' local-global principle for the minimaxness of local
cohomology modules over a commutative Noetherian ring $R$ is introduced, and it
is shown that this principle holds at level 2. We also establish the same
principle at all levels over an arbitrary commutative Noetherian ring of
dimension not exceeding 3. These generalize the main results of Brodmann et al.
in \cite{BRS}. Moreover, it is shown that if $M$ is a finitely generated
$R$-module, $\frak a$ an ideal of $R$ and $r$ a non-negative integer such that
$\frak a^tH^i_{\frak a}(M)$ is skinny for all $i<r$ and for some positive
integer $t$, then for any minimax submodule $N$ of $H^r_{\frak a}(M)$, the
$R$-module $\Hom_R(R/\frak a, H^r_{\frak a}(M)/N)$ is finitely generated. As a
consequence, it follows that the associated primes of $H^r_{\frak a}(M)/N$ are
finite. This generalizes the main results of Brodmann-Lashgari \cite{BL} and
Quy \cite{Qu}.


title: On the norming constants for normal maxima

abstract:
  In a remarkable paper, Peter Hall [{\it On the rate of convergence of normal
extremes}, J. App. Prob, {\bf 16} (1979) 433--439] proved that the supremum
norm distance between the distribution function of the normalized maximum of
$n$ independent standard normal random variables and the distribution function
of the Gumbel law is bounded by $3/\log n$. In the present paper we prove that
choosing a different set of norming constants that bound can be reduced to
$1/\log n$. As a consequence, using the asymptotic expansion of a Lambert $W$
type function, we propose new explicit constants for the maxima of normal
random variables.


title: A fourth-order dispersive flow into K\"ahler manifolds

abstract:
  We discuss a short-time existence theorem of solutions to the initial value
problem for a fourth-order dispersive flow for curves parametrized by the real
line into a compact K\"ahler manifold. Our equations geometrically generalize a
physical model describing the motion of a vortex filament or the continuum
limit of the Heisenberg spin chain system. Our results are proved by using
so-called the energy method. We introduce a bounded gauge transform on the
pullback bundle, and make use of local smoothing effect of the dispersive flow
a little.


title:
A class of measures and non-stationary fractals, associated to
  f-expansions

abstract:
  We construct first a class of Moran fractals in R^d with countably many
generators and non-stationary contraction rates; at each step n, the
contractions depend on n-truncated sequences, and are related to asymptotic
letter frequencies. In some cases the sets of contractions may be infinite at
each step. We show that the Hausdorff dimension of such a fractal is equal to
the zero h of a pressure function. We prove that the dimensions of these sets
depend real analytically on the frequencies. Next, we apply the above
construction to obtain non-stationary fractals E(x; f) \subset R^d, associated
to f-expansions of real numbers x, and study the dependence of these fractals
on x. We consider for instance beta-expansions, the continued fraction
expansion and other f-expansions. By employing the Ergodic Theorem for
invariant absolutely continuous measures and equilibrium measures, and using
some probabilities for which the digits become independent random variables, we
study the function x \to dim_H(E(x; f)) on the respective set of quasinormal
numbers x \in [0; 1). We investigate also another class of fractals \tilde E_f
(x) \subset R^d, for which both the non-stationary contraction vectors and the
asymptotic frequencies depend on the f-representation of x. We obtain then some
properties of the digits of x, related to \tilde E_f (x) and to equilibrium
measures.


title:
Alexandrov-Fenchel type inequalities for convex hypersurfaces in
  hyperbolic space and in sphere

abstract:
  In this paper, firstly, inspired by Nat\'{a}rio's recent work \cite{Na}, we
use the isoperimetric inequality to derive some Alexandrov-Fenchel type
inequalities for closed convex hypersurfaces in the hyperbolic space $\H^{n+1}$
and in the sphere $\SS^{n+1}$. We also get the rigidity in the spherical case.
Secondly, we use the inverse mean curvature flow in sphere \cite{gerh,Mak-Sch}
to prove an optimal Sobolev type inequality for closed convex hypersurfaces in
the sphere.


title: A metallicity study of 1987A-like supernova host galaxies

abstract:
  The origin of the blue supergiant (BSG) progenitor of Supernova (SN) 1987A
has long been debated, along with the role that its sub-solar metallicity
played. We now have a sample of 1987A-like SNe that arise from the core
collapse (CC) of BSGs. The metallicity of the explosion sites of the known BSG
SNe is investigated, as well as their association to star-forming regions. Both
indirect and direct metallicity measurements of 13 BSG SN host galaxies are
presented, and compared to those of other CC SN types. Indirect measurements
are based on the known luminosity-metallicity relation and on published
metallicity gradients of spiral galaxies. To provide direct estimates based on
strong line diagnostics, we obtained spectra of each BSG SN host both at the SN
explosion site and at the positions of other HII regions. Continuum-subtracted
Ha images allowed us to quantify the association between BSG SNe and
star-forming regions. BSG SNe explode either in low-luminosity galaxies or at
large distances from the nuclei of luminous hosts. Therefore, their indirectly
measured metallicities are typically lower than those of SNe IIP and Ibc. This
is confirmed by the direct estimates, which show slightly sub-solar values
(12+log(O/H)=8.3-8.4 dex), similar to that of the Large Magellanic Cloud (LMC),
where SN 1987A exploded. However, two SNe (1998A and 2004em) were found at near
solar metallicity. SNe IIb have a metallicity distribution similar to that of
BSG SNe. Finally, the association to star-forming regions is similar among BSG
SNe, SNe IIP and IIn. Our results suggest that LMC metal abundances play a role
in the formation of some 1987A-like SNe. This would naturally fit in a single
star scenario for the progenitors. However, the existence of two events at
nearly solar metallicity suggests that also other channels, e.g. binarity,
contribute to produce BSG SNe.


title: Sparse and Non-Negative BSS for Noisy Data

abstract:
  Non-negative blind source separation (BSS) has raised interest in various
fields of research, as testified by the wide literature on the topic of
non-negative matrix factorization (NMF). In this context, it is fundamental
that the sources to be estimated present some diversity in order to be
efficiently retrieved. Sparsity is known to enhance such contrast between the
sources while producing very robust approaches, especially to noise. In this
paper we introduce a new algorithm in order to tackle the blind separation of
non-negative sparse sources from noisy measurements. We first show that
sparsity and non-negativity constraints have to be carefully applied on the
sought-after solution. In fact, improperly constrained solutions are unlikely
to be stable and are therefore sub-optimal. The proposed algorithm, named nGMCA
(non-negative Generalized Morphological Component Analysis), makes use of
proximal calculus techniques to provide properly constrained solutions. The
performance of nGMCA compared to other state-of-the-art algorithms is
demonstrated by numerical experiments encompassing a wide variety of settings,
with negligible parameter tuning. In particular, nGMCA is shown to provide
robustness to noise and performs well on synthetic mixtures of real NMR
spectra.


title: Stratifying systems over hereditary algebras

abstract:
  This paper deals with stratifying systems over hereditary algebras. In the
case of tame hereditary algebras we obtain a bound for the size of the
stratifying systems composed only by regular modules and we conclude that
stratifying systems can not be complete. For wild hereditary algebras with more
than 2 vertices we show that there exists a complete stratifying system whose
elements are regular modules. In the other case, we conclude that there are no
stratifing system over them with regular modules. In one example we built all
the stratifying systems, with a specific form, having maximal number of regular
summads.


title:
Transient domain formation in membrane-bound organelles undergoing
  maturation

abstract:
  The membrane components of cellular organelles have been shown to segregate
into domains as the result of biochemical maturation. We propose that the
dynamical competition between maturation and lateral segregation of membrane
components regulates domain formation. We study a two- component fluid membrane
in which enzymatic reaction irreversibly converts one component into another,
and phase separation triggers the formation of transient membrane domains. The
maximum domains size is shown to depend on the maturation rate as a power-law
similar to the one observed for domain growth with time in the absence of
maturation, despite this time dependence not being verified in the case of
irreversible maturation. This control of domain size by enzymatic activity
could play a critical role in intra-organelle dynamics.


title: Spin Hall effect in AA-stacked bilayer graphene

abstract:
  Intrinsic spin Hall effect in the AA-stacked bilayer graphene is studied
theoretically. The low-energy electronic spectrum for states in the vicinity of
the Dirac points is obtained from the corresponding $\mathbf{k}\cdot\mathbf{p}$
Hamiltonian. The spin Hall conductivity in the linear response regime is
determined within the Green function formalism. Conditions for the existence of
spin Hall insulator phase are also analyzed, and it is shown that the spin Hall
insulator phase can exist for a sufficiently large spin-orbit coupling, which
opens a gap in the spectrum. The electric field perpendicular to the graphene
plane leads then to reduction of the gap width and suppression of the spin Hall
insulator phase. The low temperature spin Nernst effect is also calculated from
the zero temperature spin Hall conductivity.


title: Fitting Voronoi Diagrams to Planar Tesselations

abstract:
  Given a tesselation of the plane, defined by a planar straight-line graph
$G$, we want to find a minimal set $S$ of points in the plane, such that the
Voronoi diagram associated with $S$ "fits" \ $G$. This is the Generalized
Inverse Voronoi Problem (GIVP), defined in \cite{Trin07} and rediscovered
recently in \cite{Baner12}. Here we give an algorithm that solves this problem
with a number of points that is linear in the size of $G$, assuming that the
smallest angle in $G$ is constant.


title:
Shifted convolution sums and Eisenstein series formed with modular
  symbols

abstract:
  The Fourier coefficient of a second order Eisenstein series is described as a
shifted convolution sum. This description is used to obtain the spectral
decomposition of and estimates for the shifted convolution sum.


title: N=6 superconformal gravity in three dimensions from superspace

abstract:
  A unique feature of N=6 conformal supergravity in three dimensions is that
the super Cotton tensor W^{IJKL} can equivalently be viewed, via the Hodge
duality, as the field strength of an Abelian vector multiplet, W^{IJ}. Using
this observation and the conformal superspace techniques developed in
arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for N=6
conformal supergravity. The complete component action is also worked out.


title: Magnetic focusing in atomic, nuclear and hadronic processes

abstract:
  Processes with oppositely charged spinor particles in initial and/or final
states in homogeneous magnetic field B are subject to focusing effects in their
relative motion, which yield the amplifying factors in probabilities growing as
$eB$. In addition the increasing energy of some Landau levels influences the
phase space. As a result some processes in the proper spin states can be
enlarged as $\sim \frac{eB}{\kappa^2}$, where $\kappa^2$ is the characteristic
2d phase space factor available without magnetic field. Several examples,
including neutron $\beta$ decay, positronium decay and $e^+e^-$ pair
production, are quantitatively considered.