title:
A thermophysical analysis of the (1862) Apollo Yarkovsky and YORP
  effects

abstract:
  Near-Earth asteroid (1862) Apollo has strong detections of both orbital
semimajor axis drift and rotational acceleration. We produce a unified model
that can accurately match both observed effects using a single set of
thermophysical properties derived from ground-based observations, and we
determine Apollo's long term evolution. We use light-curve shape inversion
techniques and the ATPM on published light-curve, thermal-infrared, and radar
observations to constrain Apollo's thermophysical properties. The derived
properties are used to make detailed predictions of Apollo's Yarkovsky and YORP
effects, which are then compared with published measurements of orbital drift
and rotational acceleration. The ATPM explicitly incorporates 1D heat
conduction, shadowing, multiple scattering of sunlight, global self-heating,
and rough surface thermal-infrared beaming in the model predictions. We find
that ATPM can accurately reproduce the light-curve, thermal-infrared, and radar
observations of Apollo, and simultaneously match the observed orbital drift and
rotational acceleration using: a shape model with axis ratios of
1.94:1.65:1.00, an effective diameter of 1.55 +/- 0.07 km, a geometric albedo
of 0.20 +/- 0.02, a thermal inertia of 140 +140/-100 J m-2 K-1 s-1/2, a highly
rough surface, and a bulk density of 2850 +480/-680 kg m-3. Using these
properties we predict that Apollo's obliquity is increasing towards the 180
degree YORP asymptotic state at a rate of 1.5 +0.3/-0.5 degrees per 10^5 yr.
The derived thermal inertia suggests that Apollo has loose regolith material
resting on its surface, which is consistent with Apollo undergoing a recent
resurfacing event based on its observed Q-type spectrum. The inferred bulk
density is consistent with those determined for other S-type asteroids, and
suggests that Apollo has a fractured interior.


title:
Differences in the effects of turns and constrictions on the resistive
  response in current-biased superconducting wire after single photon
  absorption

abstract:
  We study how turns and constrictions affect the resistive response of the
superconducting wire after instant in time and local in space heating, which
models the absorption of the single photon by the wire. We find that the
presence of constriction favors detection of photons of various energies but
the presence of turn increases only ability to detect relatively "low" energy
photons. The main reason is that in case of constriction the current density is
increased over whole length and width of the constriction while in case of the
turn the current density is enhanced only near the inner corner of the turn. It
results in inhomogeneous Joule heating near the turn and worsens the conditions
for appearance of the normal domain at relatively small currents when the
"high" energy photons already could create normal domain in straight part of
the wire. We also find that the amplitude of the voltage pulse depends on the
place where the photon is absorbed. It is the smallest one when photon is
absorbed near the turn and it is the largest one when photon is absorbed near
the constriction. This effect comes from the difference in resistance of
constriction and the turn in the normal state from the resistance of the rest
of the wire.


title: The cost of gauge coupling unification in the SU(5) model at three loops

abstract:
  The non-supersymmetric SU(5) model can accommodate heavy neutrinos and gauge
coupling unification when augmented with an adjoint fermionic multiplet 24_F.
Among the most important phenomenological implications of the model is the
prediction of light fermions and scalars, charged under the SU(2) gauge group,
in the reach of the Large Hadron Collider (LHC). In this talk, we report on the
recent calculation of the correlation function between the mass scale of the
new electroweak multiplets and the gauge coupling unification scale at three
loop accuracy.


title: WSRT observations and surface photometry of two unusual spiral galaxies

abstract:
  We discuss the results of a mass decomposition of two spiral galaxies, NGC
6824 and UGC 11919. In a previous analysis of the Hyperleda catalog, the
galaxies were identified as having a peculiar dynamical $M/L$. The aim of this
study is to confirm or disprove the preliminary findings, indicating a
non-standard stellar initial mass function (IMF) for the galaxies. The surface
photometry in B, V, and R bands was carried out with the Apache Point 0.5-m
telescope and the \ion{H}{I} data cubes were obtained with the Westerbork
Synthesis Radio Telescope (WSRT). Photometric profiles were decomposed into
bulge and exponential disk components. Using the obtained \ion{H}{I} data
cubes, rotation curves of both galaxies were constructed. Employing the
photometric profiles, the mass distribution of the galaxies was decomposed into
mass components: bulge, stellar disk, gas, and pseudo-isothermal dark halo. We
conclude that NGC 6824 possesses a stellar disk with mass-to-light ratio
$(M/L_B)_{\rm disk} = 2.5$, in agreement with its color $(B-V)_0$. On the
contrary, UGC 11919 appears to have a very lightweight disk. Its dynamically
estimated mass corresponds to a low stellar disk mass-to-light ratio
$(M/L_B)_{\rm disk} \approx 0.5$. Under standard assumptions, this ratio does
not agree with the relatively red color of the disk, while a bottom light
stellar initial mass function is needed to explain the observations.


title: Hypergeometric type functions and their symmetries

abstract:
  We give a systematic and unified discussion of various classes of
hypergeometric type equations: the hypergeometric equation, the confluent
equation, the F_1 equation (equivalent to the Bessel equation), the Gegenbauer
equation and the Hermite equation. In particular, we discuss recurrence
relations of their solutions, their integral representations and discrete
symmetries.


title: Estimates for multiparameter maximal operators of Schr\"odinger type

abstract:
  Multiparameter maximal estimates are considered for operators of
Schr\"odinger type. Sharp and almost sharp results, that extend work by Rogers
and Villarroya, are obtained. We provide new estimates via the integrability of
the kernel which naturally appears with a TT* argument and discuss the behavior
at the endpoints. We treat in particular the case of global integrability of
the maximal operator on finite time for solutions to the linear Schr\"odinger
equation and make some comments on an open problem.


title: Elastic octopoles and colloidal structures in nematic liquid crystals

abstract:
  We propose a simple theoretical model which explains a formation of dipolar
2D and 3D colloidal structures in nematic liquid crystal. Colloidal particles
are treated as effective hard spheres interacting via their elastic dipole,
quadrupole and octopole moments. It is shown that octopole moment plays an
important role in the formation of 2D and 3D nematic colloidal crystals. We
generalize this assumption on the case of the external electric field and
theoretically explain a giant electrostriction effect in 3D crystals observed
recently [A. Nych et al., Nature Communications \textbf{4}, 1489 (2013)].


title:
Critical manifold of globally coupled overdamped anharmonic oscillators
  driven by additive Gaussian white noise

abstract:
  We prove for an infinite array of globally coupled overdamped anharmonic
oscillators subject to additive Gaussian white noise the existence of a
well-behaved critical manifold in the parameter space which separates a
symmetric phase from a symmetry broken phase. Given two of the system
parameters there is an unique critical value of the third. The proof exploits
that the critical control parameter a_c is bounded by its limit values for weak
and for strong noise. In these limits the mechanism of symmetry breaking
differs. For weak noise the distribution is Gaussian and the symmetry is broken
as the whole distribution is shifted in either the positive or the negative
direction. For strong noise there is a symmetric double-peak distribution and
the symmetry is broken as the weights of the peaks become different. We derive
an ordinary differential equation whose solution describes the critical
manifold. Using a series ansatz to solve this differential equation we
determine the critical manifold for weak and for strong noise and compare it to
numerical results. We derive analytic expressions for the order parameter and
the susceptibility close to the critical manifold.


title:
Exchange magnetic field torques in YIG/Pt bilayers observed by the
  spin-Hall magnetoresistance

abstract:
  The effective field torque of an yttrium-iron-garnet film on the spin
accumulation in an attached Pt film is measured by the spin-Hall
magnetoresistance (SMR). As a result, the magnetization direction of a
ferromagnetic insulating layer can be measured electrically. Experimental
transverse and longitudinal resistances are well described by the theoretical
model of SMR in terms of the direct and inverse spin-Hall effect, for different
Pt thicknesses [3, 4, 8 and 35nm]. Adopting a spin-Hall angle of Pt
$\theta_{SH}=0.08$, we obtain the spin diffusion length of Pt
($\lambda=1.1\pm0.3$nm) as well as the real
($G_r=(7\pm3)\times10^{14}\Omega^{-1}$m$^{-2}$) and imaginary part
($G_i=(5\pm3)\times10^{13}\Omega^{-1}$m$^{-2}$) of the spin-mixing conductance
and their ratio ($G_r/G_i=16\pm4$).


title:
Inclusive pion and eta production in p+Nb collisions at 3.5 GeV beam
  energy

abstract:
  Data on inclusive pion and eta production measured with the dielectron
spectrometer HADES in the reaction p+93Nb at a kinetic beam energy of 3.5 GeV
are presented. Our results, obtained with the photon conversion method,
supplement the rather sparse information on neutral meson production in
proton-nucleus reactions existing for this bombarding energy regime. The
reconstructed e+e-e+e- transverse-momentum and rapidity distributions are
confronted with transport model calculations, which account fairly well for
both pi0 and eta production.


title:
Hyperplanes and hamiltonian circuits in Perfect Matroid Designs with
  fixed basis

abstract:
  We study the number of hamiltonian circuits, containing a fixed basis, and
the number of hyperplanes, which do not contain a fixed basis in perfect
matroid designs. Projective and affine finite geometries are considered as
examples of such matroids. We give algorithms to find the hyperplanes and the
hamiltonian circuits in such cases.


title: Optimization with First-Order Surrogate Functions

abstract:
  In this paper, we study optimization methods consisting of iteratively
minimizing surrogates of an objective function. By proposing several
algorithmic variants and simple convergence analyses, we make two main
contributions. First, we provide a unified viewpoint for several first-order
optimization techniques such as accelerated proximal gradient, block coordinate
descent, or Frank-Wolfe algorithms. Second, we introduce a new incremental
scheme that experimentally matches or outperforms state-of-the-art solvers for
large-scale optimization problems typically arising in machine learning.


title: Contact structures on M \times S^2

abstract:
  We show that if a manifold M admits a contact structure, then so does M\times
S^2. Our proof relies on surgery theory, a theorem of Eliashberg on contact
surgery and a theorem of Bourgeois showing that if M admits a contact structure
then so does M\times T^2.


title:
An efficient way to perform the assembly of finite element matrices in
  Matlab and Octave

abstract:
  We describe different optimization techniques to perform the assembly of
finite element matrices in Matlab and Octave, from the standard approach to
recent vectorized ones, without any low level language used. We finally obtain
a simple and efficient vectorized algorithm able to compete in performance with
dedicated software such as FreeFEM++. The principle of this assembly algorithm
is general, we present it for different matrices in the P1 finite elements case
and in linear elasticity. We present numerical results which illustrate the
computational costs of the different approaches


title:
Performance Analysis of Embarassingly Parallel Application on Cluster
  Computer Environment: A Case Study of Virtual Screening with Autodock Vina
  1.1 on Hastinapura Cluster

abstract:
  IT based scientific research requires high computational resources. The
limitation on funding and infrastructure led the high performance computing era
from supercomputer to cluster and grid computing technology. Parallel
application running well on cluster computer as well as supercomputer, one of
the type is embarrassingly parallel application. Many scientist loves EP
because it doesn't need any sophisticated technique but gives amazing
performance. This paper discuss the bioinformatics research that used
embarrassingly application and show its performance on cluster computer.


title: On the integrability of the co-CR quaternionic structures

abstract:
  We characterise the integrability of any co-CR quaternionic structure in
terms of the curvature and a generalized torsion of the connection. Also, we
apply this result to obtain, for example, the following. (1) New co-CR
quaternionic structures built on vector bundles over a quaternionic manifold M,
whose twistor spaces are holomorphic vector bundles over the twistor space Z of
M. Moreover, all the holomorphic vector bundles over Z, which are positive and
isotypic when restricted to the twistor lines, are obtained this way. (2) Under
generic dimensional conditions, any manifold endowed with an almost
f-quaternionic structure and a compatible torsion free connection is, locally,
a product of a hypercomplex manifold with some power of the space of imaginary
quaternions.


title:
Impedance generalization for plasmonic waveguides beyond the lumped
  circuit model

abstract:
  We analytically derive a rigorous expression for the relative impedance ratio
between two photonic structures based on their electromagnetic interaction. Our
approach generalizes the physical meaning of the impedance to a measure for the
reciprocity-based overlap of eigenmodes. The consistence with known cases in
the radiofrequency and optical domain is shown. The analysis reveals where the
applicability of simple circuit parameters ends and how the impedance can be
interpreted beyond this point. We illustrate our approach by successfully
describing a Bragg reflector that terminates an insulator-metal-insulator
plasmonic waveguide in the near-infrared by our mpedance concept.


title: Rare decays at LHCb

abstract:
  The results on rare decay processes obtained by the LHCb experiment using 1.0
fb^(-1) of pp collisions collected in 2011 at a centre-of-mass energy of
sqrt(s)=7 TeV are presented. Branching fractions, angular distributions, CP and
isospin asymmetries are investigated to search for new physics effects.


title: Developments in THz range ellipsometry

abstract:
  Ellipsometry is a technique whereby the measurement of the two orthogonal
polarization components of light reflected at glancing incidence allows a
characterization of the optical properties of a material at a particular
frequency. Importantly, it obviates the need for measurement against a standard
reference sample, and so can provide reliable spectroscopic information even
when surface morphology is unknown, of marginal quality and/or a reference is
unavailable. Although a standard technique in the visible range, it has not
been widely applied in the Terahertz (THz) spectral range despite its potential
utility. This is largely because of the technical difficulties that these
frequencies present. This review details recent progress in the implementation
of THz range ellipsometry. We discuss a variety of configurations including
various kinds of laboratory and facility based sources using both continuous
wave and pulsed spectroscopic methods. We discuss the general problems
encountered when trying to import the methodologies of visible range
ellipsometry to the THz range and give examples of where the technique has been
successful thus far.


title:
Double Precision Computation of the Logistic Map Depends on
  Computational Modes of the Floating-point Processing Unit

abstract:
  Today's most popular CPU can operate in two different computational modes for
double precision computations. This fact is not very widely recognized among
scientific computer users. The present paper reports the differences the modes
bring about using the most thoroughly studied system in chaos theory, the
logistic map. Distinct virtual periods due to finite precision come about
depending on the computational modes for the parameter value corresponding to
fully developed chaos. For other chaotic regime various virtual periods emerge
depending on the computational modes and the mathematical expressions of the
map. Differences in the bifurcation diagrams due to the modes and the
expressions are surveyed exhaustively. A quantity to measure those differences
is defined and calculated.


title:
Simple derivation from postulates of generalized vacuum Maxwell
  equations

abstract:
  The two postulates of special relativity plus the postulates of conserved
charges, both electric and magnetic, and a resulting linear system are
sufficient for the derivation of the generalized vacuum Maxwell equations with
both charges. The derivative admits another set of Maxwell equations for
charges that are the opposite-parity partners of the usual electric and
magnetic charges. These new charges and their photons are parts of the parallel
universe of dark matter.


title:
HERschel Observations of Edge-on Spirals (HEROES). I: Far-infrared
  morphology and dust mass determination

abstract:
  Context. Edge-on spiral galaxies with prominent dust lanes provide us with an
excellent opportunity to study the distribution and properties of the dust
within them. The HEROES project was set up to observe a sample of seven large
edge-on galaxies across various wavelengths for this investigation.
  Aims. Within this first paper, we present the Herschel observations and
perform a qualitative and quantitative analysis on them, and we derive some
global properties of the far infrared and submillimetre emission.
  Methods. We determine horizontal and vertical profiles from the Herschel
observations of the galaxies in the sample and describe the morphology.
Modified black-body fits to the global fluxes, measured using aperture
photometry, result in dust temperatures and dust masses. The latter values are
compared to those that are derived from radiative transfer models taken from
the literature.
  Results. On the whole, our Herschel flux measurements agree well with
archival values. We find that the exponential horizontal dust distribution
model often used in the literature generally provides a good description of the
observed horizontal profiles. Three out of the seven galaxies show signatures
of extended vertical emission at 100 and 160 {\mu}m at the 5{\sigma} level, but
in two of these it is probably due to deviations from an exactly edge-on
orientation. Only for NGC 4013, a galaxy in which vertically extended dust has
already been detected in optical images, we can detect vertically extended
dust, and the derived scaleheight agrees with the value estimated through
radiative transfer modelling. Our analysis hints at a correlation between the
dust scaleheight and its degree of clumpiness, which we infer from the
difference between the dust masses as calculated from modelling of optical data
and from fitting the spectral energy distribution of Herschel datapoints.


title: Refinement in the Tableau Synthesis Framework

abstract:
  This paper is concerned with the possibilities of refining and improving
calculi generated in the tableau synthesis framework. A general method in the
tableau synthesis framework allows to reduce the branching factor of tableau
rules and preserves completeness if a general rule refinement condition holds.
In this paper we consider two approaches to satisfy this general rule
refinement condition.


title: Conformal supergravity in three dimensions: New off-shell formulation

abstract:
  We propose a new off-shell formulation for N-extended conformal supergravity
in three spacetime dimensions. Our construction is based on the gauging of the
N-extended superconformal algebra in superspace. Covariant constraints are
imposed such that the algebra of covariant derivatives is given in terms of a
single curvature superfield which turns out to be the super Cotton tensor. An
immediate corollary of this construction is that the curved superspace is
conformally flat if and only if the super Cotton tensor vanishes. Upon
degauging of certain local symmetries, our formulation is shown to reduce to
the conventional one with the local structure group SL(2,R) x SO(N).


title: Fractional Effective Action at strong electromagnetic fields

abstract:
  In 1936, Weisskopf showed that for vanishing electric or magnetic fields the
strong-field behavior of the one loop Euler-Heisenberg effective Lagrangian of
quantum electro dynamics (QED) is logarithmic. Here we generalize this result
for different limits of the Lorentz invariants \(\vec{E}^2-\vec{B}^2\) and
\(\vec{B}\cdot\vec{E}\). The logarithmic dependence can be interpreted as a
lowest-order manifestation of an anomalous power behavior of the effective
Lagrangian of QED, with critical exponents \(\delta=e^2/(12\pi)\) for spinor
QED, and \(\delta_S=\delta/4\) for scalar QED.


title: Collective resonances in plasmonic crystals: Size matters

abstract:
  Periodic arrays of metallic nanoparticles may sustain Surface Lattice
Resonances (SLRs), which are collective resonances associated with the
diffractive coupling of Localized Surface Plasmon Resonances (LSPRs). By
investigating a series of arrays with varying number of particles, we traced
the evolution of SLRs to its origins. Polarization resolved extinction spectra
of arrays formed by a few nanoparticles were measured, and found to be in very
good agreement with calculations based on a coupled dipole model. Finite size
effects on the optical properties of the arrays are observed, and our results
provide insight into the characteristic length scales for collective plasmonic
effects: for arrays smaller than 5 x 5 particles, the Q-factors of SLRs are
lower than those of LSPRs; for arrays larger than 20 x 20 particles, the
Q-factors of SLRs saturate at a much larger value than those of LSPRs; in
between, the Q-factors of SLRs are an increasing function of the number of
particles in the array.


title:
Quantum Rod Emission Coupled to Plasmonic Lattice Resonances: A
  Collective Directional Source of Polarized Light

abstract:
  We demonstrate that an array of optical antennas may render a thin layer of
randomly oriented semiconductor nanocrystals into an enhanced and highly
directional source of polarized light. The array sustains collective plasmonic
lattice resonances which are in spectral overlap with the emission of the
nanocrystals over narrow angular regions. Consequently, different photon
energies of visible light are enhanced and beamed into definite directions.


title: Superlubricity through graphene multilayers between Ni(111) surfaces

abstract:
  A single graphene layer placed between two parallel Ni(111) surfaces screens
the strong attractive force and results in a significant reduction of adhesion
and sliding friction. When two graphene layers are inserted, each graphene is
attached to one of the metal surfaces with a significant binding and reduces
the adhesion further. In the sliding motion of these surfaces the transition
from stick-slip to continuous sliding is attained, whereby non-equilibrium
phonon generation through sudden processes is suppressed. The adhesion and
corrugation strength continues to decrease upon insertion of the third graphene
layer and eventually saturates at a constant value with increasing number of
graphene layers. In the absence of Ni surfaces, the corrugation strength of
multilayered graphene is relatively higher and practically independent of the
number of layers. Present first-principles calculations reveal the
superlubricant feature of graphene layers placed between pseudomorphic Ni(111)
surfaces, which is achieved through the coupling of Ni-3d and graphene-$\pi$
orbitals. The effect of graphene layers inserted between a pair of parallel
Cu(111) and Al(111) surfaces are also discussed. The treatment of sliding
friction under the constant loading force, by taking into account the
deformations corresponding to any relative positions of sliding slabs, is the
unique feature of our study.


title: Orthogonal affine Kac-Moody algebras

abstract:
  Riemannian symmetric spaces are fundamental objects in finite dimensional
differential geometry. An important problem is the construction of symmetric
spaces for generalizations of simple Lie groups, especially their closest
infinite dimensional analogues known as Kac-Moody groups. We solve this problem
and construct affine Kac-Moody symmetric spaces in a series of several papers.
This paper focuses on the algebraic side: More precisely, we introduce OSAKAs,
the algebraic structures used to describe the connection between affine
Kac-Moody symmetric spaces and affine Kac-Moody algebras and describe their
classification.


title:
Identifying gaps in flaring Herbig Ae/Be disks using spatially resolved
  mid-infrared imaging. Are all group I disks transitional?

abstract:
  *Context The evolution of young massive protoplanetary disks toward planetary
systems is expected to include the formation of gaps and the depletion of dust
and gas. *Aims A special group of flaring disks around Herbig Ae/Be stars do
not show prominent silicate emission features. We focus our attention on four
key Herbig Ae/Be stars to understand the structural properties responsible for
the absence of silicate feature emission. *Methods We investigate Q- and N-band
images taken with Subaru/COMICS, Gemini South/T-ReCS and VLT/VISIR. Our
radiative transfer modeling solutions require a separation of inner- and outer-
disks by a large gap. From this we characterize the radial density structure of
dust and PAHs in the disk. *Results The inner edge of the outer disk has a high
surface brightness and a typical temperature between ~100-150 K and therefore
dominates the emission in the Q-band. We derive radii of the inner edge of the
outer disk of 34, 23, 30 and 63 AU for HD97048, HD169142, HD135344B and Oph IRS
48 respectively. For HD97048 this is the first detection of a disk gap. The
continuum emission in the N-band is not due to emission in the wings of PAHs.
This continuum emission can be due to VSGs or to thermal emission from the
inner disk. We find that PAH emission is not always dominated by PAHs on the
surface of the outer disk. *Conclusions. The absence of silicate emission
features is due to the presence of large gaps in the critical temperature
regime. Many, if not all Herbig disks with Spectral Energy Distribution (SED)
classification `group I' are disks with large gaps and can be characterized as
(pre-) transitional. An evolutionary path from the observed group I to the
observed group II sources seems no longer likely. Instead, both might derive
from a common ancestor.


title: Restoring predictability in semiclassical gravitational collapse

abstract:
  Hawking showed that the radiation emitted from a classical collapsing shell
is thermal. Here, we show that a semiclassical collapsing shell emits radiation
that is only approximately thermal, with small but significant deviations. The
most important difference is the presence of small off-diagonal elements in the
radiation density matrix with a magnitude of order $1/\sqrt{S_{BH}}$, $S_{BH}$
being the Bekenstein-Hawking entropy of the incipient black hole. The
off-diagonal elements store the correlations between the collapsing shell and
the emitted radiation and allow information to continuously leak from the
collapsed body. The rate of escape of information is initially very small,
increasing to order one by the Page time, when the black hole has lost half its
original entropy. We show that, until the Page time, the radiation is almost
exactly thermal and that, from this time on, it begins to purify at an
increasing rate.


title:
Graphene with time-dependent spin-orbit coupling: Truncated Magnus
  expansion approach

abstract:
  We analyze the role of ac-driven Rashba spin-orbit coupling in monolayer
graphene including a spin-dependent mass term. Using the Magnus expansion as a
semi-analytical approximation scheme a full account of the quasienergie
spectrum of spin states is given. We discuss the subtleties arising in
correctly applying the Magnus expansion technique in order to determine the
quasienergy spectrum. Comparison to the exact numerical solution gives
appropriate boundaries to the validity of the Magnus expansion solution.


title: Floer homology for non-resonant magnetic fields on flat tori

abstract:
  In this article we define and compute the Novikov Floer homology associated
to a non-resonant magnetic field and a mechanical Hamiltonian on a flat torus
T^{2N}. As a result, we deduce that this Hamiltonian system always has 2N+1
contractible solutions, and generically even 2^{2N} contractible solutions.
Moreover if there exists a non-degenerate non-contractible solution then there
necessarily exists another.


title: Surface Tension of Electrolyte Solutions: A Self-consistent Theory

abstract:
  We study the surface tension of electrolyte solutions at the air/water and
oil/water interfaces. Employing field-theoretical methods and considering
short-range interactions of anions with the surface, we expand the Helmholtz
free energy to first-order in a loop expansion and calculate the excess surface
tension. Our approach is self-consistent and yields an analytical prediction
that reunites the Onsager-Samaras pioneering result (which does not agree with
experimental data), with the ionic specificity of the Hofmeister series. We
obtain analytically the surface-tension dependence on the ionic strength, ionic
size and ion-surface interaction, and show consequently that the
Onsager-Samaras result is consistent with the one-loop correction beyond the
mean-field result. Our theory fits well a wide range of concentrations for
different salts using one fit parameter, reproducing the reverse Hofmeister
series for anions at the air/water and oil/water interfaces.10.1029

categories: cond-mat.soft cond-mat.mtrl-sci cond-mat.stat-mech physics.chem-ph


title:
Unified dispersive approach to real and virtual photon-photon scattering
  at low energy

abstract:
  Previous representations of pion pair production amplitudes by two real
photons at low energy, which combine dispersion theoretical constraints with
elastic unitariy, chiral symmetry and soft photon constraints are generalized
to the case where one photon is virtual. The constructed amplitudes display
explicitly the dependence on the $\pi\pi$ phase-shifts, on pion form factors
and on pion polarizabilities. They apply both for space-like and time-like
virtualities despite the apparent overlap of the left and right-hand cuts, by
implementing a definition of resonance exchange amplitudes complying with
analyticity and consistent limiting prescriptions for the energy variables.
Applications are made to the pion generalized polarizabilies, to vector meson
radiative decays, and to the $\sigma\gamma$ electromagnetic form factor.
Finally, and evaluation of the contribution of $\gamma\pi\pi$ states in the
hadronic vacuum polarization to the muon $g-2$ is given, which should be less
model dependent than previous estimates.


title:
Benchmarking of a 1D Scrape-off layer code SOLF1D with SOLPS and its use
  in modelling long-legged divertors

abstract:
  A 1D code modelling SOL transport parallel to the magnetic field (SOLF1D) is
benchmarked with 2D simulations of MAST-U SOL performed via the SOLPS code for
two different collisionalities. Based on this comparison, SOLF1D is then used
to model the effects of divertor leg stretching in 1D, in support of the
planned Super-X divertor on MAST. The aim is to separate magnetic flux
expansion from volumetric power losses due to recycling neutrals by stretching
the divertor leg either vertically or radially.


title: Tame Fr\'echet submanifolds

abstract:
  We introduce the new class of submanifolds of co-Banach type in tame
Fr\'echet manifolds and construct tame Fr\'echet submanifolds as inverse images
of regular values of certain tame maps. Our method furnishes an easy way to
construct tame Fr\'echet manifolds. The results presented are key ingredients
in the construction of affine Kac-Moody symmetric spaces; they have also
important applications in the study of isoparametric submanifolds in tame
Fr\'echet spaces.


title: Discriminating Power of Centrality Measures

abstract:
  The calculation of centrality measures is common practice in the study of
networks, as they attempt to quantify the importance of individual vertices,
edges, or other components. Different centralities attempt to measure
importance in different ways. In this paper, we examine a conjecture posed by
E. Estrada regarding the ability of several measures to distinguish the
vertices of networks. Estrada conjectured that if all vertices of a graph have
the same subgraph centrality, then all vertices must also have the same degree,
eigenvector, closeness, and betweenness centralities. We provide a
counterexample for the latter two centrality measures and propose a revised
conjecture.


title: Exotic in dense and cold nuclear matter

abstract:
  The way to create and to investigate a dense cold matter droplets in the
laboratory is proposed. The reality of this approach are argued. Estimated
possible statistic is large enough for detail study of the properties of such a
matter. Mechanism of kinematical cooling of the droplet is clarified. Different
types of trigger(selection criteria) are proposed to search for different kind
of exotic.


title: 2d CDT with gauge fields

abstract:
  Two-dimensional Causal Dynamical Triangulations provides a definition of the
path integral for projectable two-dimensional Horava-Lifshitz quantum gravity.
We solve the theory coupled to gauge fields.


title:
Qualitative detection of oil adulteration with machine learning
  approaches

abstract:
  The study focused on the machine learning analysis approaches to identify the
adulteration of 9 kinds of edible oil qualitatively and answered the following
three questions: Is the oil sample adulterant? How does it constitute? What is
the main ingredient of the adulteration oil? After extracting the
high-performance liquid chromatography (HPLC) data on triglyceride from 370 oil
samples, we applied the adaptive boosting with multi-class Hamming loss
(AdaBoost.MH) to distinguish the oil adulteration in contrast with the support
vector machine (SVM). Further, we regarded the adulterant oil and the pure oil
samples as ones with multiple labels and with only one label, respectively.
Then multi-label AdaBoost.MH and multi-label learning vector quantization
(ML-LVQ) model were built to determine the ingredients and their relative ratio
in the adulteration oil. The experimental results on six measures show that
ML-LVQ achieves better performance than multi-label AdaBoost.MH.


title: Homotopy BV-algebra structure on the double cobar construction

abstract:
  We show that the double cobar construction, $\Omega^2 C_*(X)$, of a
simplicial set $X$ is a homotopy BV-algebra if $X$ is a double suspension, or
if $X$ is 2-reduced and the coefficient ring contains the ring of rational
numbers $\mathbb{Q}$. Indeed, the Connes-Moscovici operator defines the desired
homotopy BV-algebra structure on $\Omega^2 C_*(X)$ when the antipode $S :
\Omega C_*(X) \to \Omega C_*(X)$ is involutive. We proceed by defining a family
of obstructions $O_n : \widetilde{C}_*(X) \to \widetilde{C}_*(X)^{\otimes n}$,
$n\geq 2$ measuring the difference $S^2 - Id$. When $X$ is a suspension, the
only obstruction remaining is $O_2 := E^{1,1} - \tau E^{1,1}$ where $E^{1,1}$
is the dual of the $\smile_1$-product. When $X$ is a double suspension the
obstructions vanish.


title:
The Spatial Distribution of Organics toward the High-Mass YSO NGC 7538
  IRS9

abstract:
  Based on astrochemical theory, the complex molecular composition around
high-mass YSOs should evolve from the outer envelope in toward the central hot
region as a sequence of temperature dependent chemical pathways are activated
in ices and in the gas-phase. The resulting complex molecules have been broadly
classified into three generations dependent on the temperature (<25, >25, and
>100 K) required for formation. We combine IRAM 30m and Submillimeter Array
observations to explore the spatial distribution of organic molecules around
the high-mass young stellar object NGC 7538 IRS9, whose weak complex molecule
emission previously escaped detection, quantifying the emission and abundance
profiles of key organic molecules as a function of distance from the central
protostar. We find that emission from N-bearing organics and saturated
O-bearing organics present large increases in emission around 8000 AU and
R<3000 AU, while O-bearing molecules and hydrocarbons do not. The increase in
flux from some complex molecules in the envelope, around 8000 AU or 25 K, is
consistent with recent model predictions of an onset of complex ice chemistry
at 20-30 K. The emission increase for some molecules at R<3000 AU suggests the
presence of a weak hot core, where thermal ice evaporation and hot gas-phase
chemistry drives the chemistry. Complex organics thus form at all radii and
temperatures around this protostar, but the composition changes dramatically as
the temperature increases, which is used to constrain the chemical
generation(s) to which different classes of molecule belong.


title: Supernova 2012aw - a high-energy clone of archetypal type IIP SN 1999em

abstract:
  We present densely-sampled UBVRI/griz photometric and low-resolution (6-10A)
optical spectroscopic observations from 4 to 270 days after explosion of a
newly discovered type II SN 2012aw in a nearby (~9.9 Mpc) galaxy M95. The
light-curve characteristics of apparent magnitudes, colors, bolometric
luminosity and the presence and evolution of prominent spectral features are
found to have striking similarity with the archetypal IIP SNe 1999em, 1999gi
and 2004et. The early time observations of SN 2012aw clearly detect minima in
the light-curve of V, R and I bands near 37 days after explosion and this we
suggest to be an observational evidence for emergence of recombination phase.
The mid-plateau MV magnitude (-16.67 $\pm$ 0.04) lies in between the bright (~
-18) and subluminous (~ -15) IIP SNe. The mass of nickel is 0.06$\pm$0.01
M_sun. The SYNOW modelling of spectra indicate that the value and evolution of
photospheric velocity is similar to SN 2004et, but about ~600 km/s higher than
that of SNe 1999em and 1999gi at comparable epochs. This trend is more apparent
in the line velocities of H alpha and H beta. A comparison of ejecta velocity
properties with that of existing radiation-hydrodynamical simulations indicate
that the energy of explosion lies in the range 1-2x10^51 ergs; a further
comparison of nebular phase [Oi] doublet luminosity with SNe 2004et and 1987A
indicate that the mass of progenitor star is about 14-15 M_sun. The presence of
high-velocity absorption features in the mid-to-late plateau and possibly in
early phase spectra show signs of interaction between ejecta and the
circumstellar matter; being consistent with its early-time detection at X-ray
and radio wavebands.


title: Dimensional reduction in the sky

abstract:
  We explore the cosmological implications of a mechanism found in several
approaches to quantum-gravity, whereby the spectral dimension of spacetime runs
from the standard value of 4 in the infrared (IR) to a smaller value in the
ultraviolet (UV). Specifically, we invoke the picture where the phenomenon is
associated with modified dispersion relations. With minimal assumptions, we
find that UV behaviour leading to 2 spectral dimensions results in an exactly
scale-invariant spectrum of vacuum scalar and tensor fluctuations, regardless
of the equation of state. The fluctuation production mechanism is analogous to
the one known for varying speed of sound/light models and, unlike in inflation,
the spectrum is already scale-invariant before leaving the horizon, remaining
so after freeze-in. In the light of Planck's recent results we also discuss
scenarios that break exact scale-invariance, such as the possibility that the
spectral dimension runs down to a value slightly higher than 2, or runs down to
2 but with an extremely slow transient. We further show that the tensor to
scalar ratio is fixed by the UV ratio between the speed of gravity and the
speed of light. Not only does our model not require inflation, but at its most
minimal it seems incompatible with it. In contrast, we find that running
spectral dimensions can improve the outlook of the cyclic/ekpyrotic scenario,
solving the main problems present in its simplest and most appealing
realisations.


title: Differentiability inside sets with upper Minkowski dimension one

abstract:
  We show that every finite-dimensional Euclidean space contains compact
universal differentiability sets of upper Minkowski dimension one. In other
words, there are compact sets $S$ of upper Minkowski dimension one such that
every Lipschitz function defined on the whole space is differentiable inside
$S$. Such sets are constructed explicitly.


title: Meridian Surface of Weingarten Type in 4-dimensional Euclidean Space E^4

abstract:
  In this paper, we study meridian surfaces of Weingarten type in Euclidean
4-space E^4. We give the neccessary and sufficient conditions for a meridian
surface in E^4 to become Weingarten type.


title:
Crackling noise during failure of alumina under compression: effect of
  porosity

abstract:
  We study the acoustic emission avalanches during the failure process of
porous alumina samples (Al2O3) under compression. Specimens with different
porosities ranging from 30% to 59% have been synthetized from a mixture of
fine-grained alumina and graphite. The compressive strength as well as the
characteristics of the acoustic activity have been determined. The statistical
analysis of the recorded acoustic emission pulses reveals, for all porosities,
a broad distribution of energies with a fat tail, compatible with the existence
of an underlying critical point. In the region of 35%-55% porosity, the energy
distributions of the acoustic emission signals are compatible with a power law
behavior over two decades in energy with an exponent \epsilon = 1.8+/-0.1.


title: Extremal Black Holes and First Law of Thermodynamics

abstract:
  We study the low temperature expansion of the first law of thermodynamics for
near-extremal black holes. We show that for extremal black holes with
non-vanishing entropy, the leading order contribution yields an expression for
their extremal entropy in agreement with the entropy function result and the
Cardy formula for the entropy of a two dimensional chiral conformal field
theory (CFT). When their entropy vanishes due to the vanishing of a one-cycle
on the horizon, such leading contribution is always compatible with the first
law satisfied by a BTZ black hole. These results are universal and consistent
both with the presence of local AdS2 and AdS3 near horizon throats for extremal
black holes and with the suggested quantum microscopic descriptions (AdS2/CFT1,
Kerr/CFT and EVH/CFT).


title:
Interface induced room-temperature ferromagnetism in hydrogenated
  epitaxial graphene

abstract:
  Due to the predominantly surface character of graphene, it is highly suitable
for functionalization with external atoms and/or molecules leading to a
plethora of new and interesting phenomena. Here we show ferromagnetic
properties of hydrogen-functionalized epitaxial graphene on SiC. Ferromagnetism
in such a material is not directly evident as it is inherently composed of only
non-magnetic constituents. Our results nevertheless show strong ferromagnetism,
which cannot be explained by simple magnetic impurities. The ferromagnetism is
unique to hydrogenated epitaxial graphene on SiC, where interactions with the
interfacial buffer layer play a crucial role. We argue that the origin of the
observed ferromagnetism is governed by electron correlation effects of the
narrow Si-dangling-bond (Si-DB) states in the buffer layer exchange-coupled to
localized states in the hydrogenated graphene layer. This forms a
quasi-three-dimensional ferromagnet with a Curie temperature higher than 300 K.


title: Shellability of the higher pinched Veronese posets

abstract:
  The pinched Veronese poset $V^*_n$ is the poset with ground set consisting of
all non-negative integer vectors of length n such that the sum of their
coordinates is divisible by $n$ with exception of the vector $(1,...,1)$. For
two vectors $a$ and $b$ in $V^*_n$ we have $a \leq b$ if and only if $b - a$
belongs to the ground set of $V^*_n$.
  We show that every interval in $V^*_n$ is shellable for $n$ at least 4. In
order to obtain the result, we develop a new method for showing that a poset is
shellable. This method differs from classical lexicographic shellability.
  Shellability of intervals in $V^*_n$ has consequences in commutative algebra.
As a corollary we obtain a combinatorial proof of the fact that the pinched
Veronese ring is Koszul for $n \geq 4$. (This also follows from a result by
Conca, Herzog, Trung and Valla.)


title: Coordinate Finite Type Rotational Surfaces in Euclidean Spaces

abstract:
  Submanifolds of coordinate finite-type were introduced in HV1. A submanifold
of a Euclidean space is called a coordinate finite-type submanifold if its
coordinate functions are eigenfunctions of {\Delta}. In the present study we
consider coordinate finite-type surfaces in E^4. We give necessary and
sufficient conditions for generalized rotation surfaces in E^4 to become
coordinate finite-type. We also give some special examples.


title: Hasse Principle for G-quadratic forms

abstract:
  Let k be a global field of characteristic not 2. The classical
Hasse-Minkowski theorem states that if two quadratic forms become isomorphic
over all the completions of k, then they are isomorphic over k as well. It is
natural to ask whether this is also true for G-quadratic forms, where G is a
finite group. In the case of number fields the Hasse principle for G-quadratic
forms does not hold in general, as shown by Jorge Morales. The aim of this
paper is to study this question when k is a global field of positive
characteristic. We give a sufficient criterion for the Hasse principle to hold,
and also counter examples : note that these are of different nature than those
for number fields.


title:
Non-uniform FFT for the finite element computation of the micromagnetic
  scalar potential

abstract:
  We present a quasi-linearly scaling, first order polynomial finite element
method for the solution of the magnetostatic open boundary problem by splitting
the magnetic scalar potential. The potential is determined by solving a
Dirichlet problem and evaluation of the single layer potential by a fast
approximation technique based on Fourier approximation of the kernel function.
The latter approximation leads to a generalization of the well-known
convolution theorem used in finite difference methods. We address it by a
non-uniform FFT approach. Overall, our method scales O(M + N + N log N) for N
nodes and M surface triangles. We confirm our approach by several numerical
tests.


title: Abstracting Abstract Control (Extended)

abstract:
  The strength of a dynamic language is also its weakness: run-time flexibility
comes at the cost of compile-time predictability. Many of the hallmarks of
dynamic languages such as closures, continuations, various forms of reflection,
and a lack of static types make many programmers rejoice, while compiler
writers, tool developers, and verification engineers lament. The dynamism of
these features simply confounds statically reasoning about programs that use
them. Consequently, static analyses for dynamic languages are few, far between,
and seldom sound.
  The "abstracting abstract machines" (AAM) approach to constructing static
analyses has recently been proposed as a method to ameliorate the difficulty of
designing analyses for such language features. The approach, so called because
it derives a function for the sound and computable approximation of program
behavior starting from the abstract machine semantics of a language, provides a
viable approach to dynamic language analysis since all that is required is a
machine description of the interpreter.
  The original AAM recipe produces finite state abstractions, which cannot
faithfully represent an interpreter's control stack. Recent advances have shown
that higher-order programs can be approximated with pushdown systems. However,
these automata theoretic models either break down on features that inspect or
modify the control stack.
  In this paper, we tackle the problem of bringing pushdown flow analysis to
the domain of dynamic language features. We revise the abstracting abstract
machines technique to target the stronger computational model of pushdown
systems. In place of automata theory, we use only abstract machines and
memoization. As case studies, we show the technique applies to a language with
closures, garbage collection, stack-inspection, and first-class composable
continuations.


title: Heaviest Induced Ancestors and Longest Common Substrings

abstract:
  Suppose we have two trees on the same set of leaves, in which nodes are
weighted such that children are heavier than their parents. We say a node from
the first tree and a node from the second tree are induced together if they
have a common leaf descendant. In this paper we describe data structures that
efficiently support the following heaviest-induced-ancestor query: given a node
from the first tree and a node from the second tree, find an induced pair of
their ancestors with maximum combined weight. Our solutions are based on a
geometric interpretation that enables us to find heaviest induced ancestors
using range queries. We then show how to use these results to build an
LZ-compressed index with which we can quickly find with high probability a
longest substring common to the indexed string and a given pattern.


title:
Thermal emission in the early X-ray afterglows of GRBs: following the
  prompt phase to the late times

abstract:
  Thermal radiation, peaking in soft X-rays, has now been detected in a handful
of GRB afterglows and has to date been interpreted as shock break-out of the
GRB's progenitor star. We present a search for thermal emission in the early
X-ray afterglows of a sample of Swift bursts selected by their brightness in
X-rays at early times. We identify a clear thermal component in eight GRBs and
track the evolution. We show that at least some of the emission must come from
highly relativistic material since two show an apparent super-luminal expansion
of the thermal component. Furthermore we determine very large luminosities and
high temperatures for many of the components-too high to originate in a SN
shock break-out. Instead we suggest that the component may be modelled as late
photospheric emission from the jet, linking it to the apparently thermal
component observed in the prompt emission of some GRBs at gamma-ray and hard
X-ray energies. By comparing the parameters from the prompt emission and the
early afterglow emission we find that the results are compatible with the
interpretation that we are observing the prompt quasi-thermal emission
component in soft X-rays at a later point in its evolution.


title: The paradox of the Casimir force in inhomogeneous transformation media

abstract:
  It has recently been argued that Casimir-Lifshitz forces depend in detail on
the microphysics of a system; calculations of the Casimir force in
inhomogeneous media yield results that are cutoff-dependent. This result has
been shown to hold generally. But suppose we introduce an inhomogeneous
metamaterial into a cavity that effectively implements a simple distortion of
the coordinate system. Considered in its 'virtual space', the optical
properties of such a material are homogeneous and consequently free from the
cutoff-dependency associated with inhomogeneous media. This conclusion should
be reconciled with recent advances in our understanding of Casimir-Lifshitz
forces. We consider an example of such a system here and demonstrate that,
whilst the size of the Casimir force is modified by the inhomogeneous medium,
the force is cutoff-independent and can be stated exactly. The apparent paradox
dissolves when we recognise that an idealised metamaterial that could implement
a virtual geometry for all frequencies would be devoid of internal scattering,
and would not give rise to a cutoff-dependency in the Casimir force for that
reason.


title: On p-form vortex-lines equations on extended phase space

abstract:
  In differential-geometric language, vortex-lines equations on extended phase
space of a system may be written as $i_{\dot \gamma}d\sigma =0$, where $\sigma$
is a differential 1-form. This is the structure, to give a paradigmatic
example, of the Hamilton equations. Here, we study equations of the same
structure, where $\sigma$ is a differential p-form.


title:
Search for \nu_{\tau} interactions with the nuclear emulsion films of
  the OPERA experiment

abstract:
  The OPERA experiment aims at measuring the \nu_{\mu} -> \nu_{\tau}
oscillation through the \nu_{\tau} appearance in an almost pure \nu_{\mu} beam
(CNGS). For the direct identification of the short-lived {\tau} lepton,
produced in \nu_{\tau} CC interactions, a micrometric detection resolution is
needed. Therefore the OPERA detector makes use of nuclear emulsion films, the
highest spatial resolution tracking device, combined with lead plates in an
emulsion cloud chamber (ECC) structure called 'brick'. In this paper the
nuclear emulsion analysis chain is reported; the strategy and the algorithms
set up will be described together with their performances.


title:
Search for extra-dimensions, top-antitop resonances, 4th generation and
  leptoquark signatures at the LHC

abstract:
  The searches for extra-dimensions, top resonances, 4th generation quarks and
leptoquark signatures are presented. The results are based on proton-proton
collision data for a center-of mass energy of7 or 8 TeV, corresponding to
various integrated luminosities. No signal of physics beyond the Standard Model
has been observed so far.


title: On variational dimension reduction in structure mechanics

abstract:
  The classical low-dimensional models of thin structures are based on certain
a priori assumptions on the three-dimensional deformation and/or stress fields,
diverse in nature but all motivated by the smallness of certain dimensions with
respect to others. In recent years, a considerable amount of work has been done
in order to rigorously justify these a priori assumptions; in particular,
several techniques have been introduced to make dimension re- duction rigorous.
We here review, and to some extent reformulate, the main ideas common to these
techniques, using some explicit dimension-reduction problems to exemplify the
points we want to make.


title:
Phase transformations in methanol at high pressure measured by
  dielectric spectroscopy technique

abstract:
  Dielectric response in methanol measured in wide pressure and temperature
range ($P < 6.0$ GPa; 100 K $<T<$ 360 K) reveals a series of anomalies which
can be interpreted as a transformation between several solid phases of methanol
including a hitherto unknown high-pressure low-temperature phase with stability
range $P > $ 1.2 GPa $T < 270$ K. In the intermediate P-T region $P \approx
3.4-3.7$ GPa $T \approx 260-280$ K a set of complicated structural
transformations occurs involving four methanol crystalline structures. At
higher pressures within a narrow range $P \approx 4.3-4.5$ GPa methanol can be
obtained in the form of fragile glass ($T_g \approx 200$ K, $m_p \approx 80$ at
$P= 4.5$ GPa) by relatively slow cooling.


title: Magnetic field induced ordering in SrDy2O4

abstract:
  Heat capacity measurements were used to investigate the magnetic ordering
processes in single crystal samples of SrDy2O4 in a magnetic field applied
along the [010] and [001] directions. In zero field this compound appears to be
magnetically disordered down to at least 0.39 K. A magnetic field applied along
the [010] direction induces a very sharp transition at 20 kOe, seen as a strong
peak in the heat capacity versus field, C(H) curves, while for H // [001], the
magnetisation process is accompanied by the development of only broad features
in the C(H) curves. The process of field induced ordering in \sdo\ appears to
be rather remarkable even in the context of the unusual phase transitions
observed in other geometrically frustrated magnetic systems consisting of
hexagons and triangles.


title:
Photon Polarization in the b->s gamma processes in the Left-Right
  Symmetric Model

abstract:
  The circular-polarization of the photon in the radiative B decays is
dominantly left-handed in the Standard Model (SM), but the right-handed
polarization may be enhanced in some new physics models with right-handed
currents, such as the Left-Right Symmetric Model (LRSM). In this article, we
investigate how large this wrong polarization could be within the allowed
parameter space of the LRSM. We show that in LRSM, the right-handed
polarization of the photon in the $b\to s\gamma$ processes could be largely
enhanced by the $W_L-W_R$ mixing contributions because of the helicity flip on
the internal top quark line of the penguin diagrams and the enhancement by the
CKM factor $V_{ts}^R/V_{ts}^L$. We discuss the sensitivity of the proposed
methods to determine the $b\to s\gamma$ photon polarization to the LRSM as well
as their complementary role compared to the direct search of right-handed
charged gauge bosons at LHC.


title:
An Orlik-Raymond type classification of simply connected six-dimensional
  torus manifolds with vanishing odd degree cohomology

abstract:
  The aim of this paper is to classify simply connected 6-dimensional torus
manifolds with vanishing odd degree cohomology. It is shown that there is a
one-to-one correspondence between equivariant diffeomorphism types of these
manifolds and 3-valent labelled graphs, called torus graphs introduced by
Maeda-Masuda-Panov. Using this correspondence and combinatorial arguments, we
prove that a simply connected 6-dimensional torus manifold with vanishing odd
degree cohomology is equivariantly diffeomorphic to the 6-dimensional sphere or
an equivariant connected sum of copies of 6-dimensional quasitoric manifolds or
4-dimensional sphere bundles over the 2-dimensional sphere.


title: A generalization of Szebehely's inverse problem of dynamics

abstract:
  The so-called inverse problem of dynamics is about constructing a potential
for a given family of curves. We observe that there is a more general way of
posing the problem by making use of ideas of another inverse problem, namely
the inverse problem of the calculus of variations. We critically review and
clarify different aspects of the current state of the art of the problem
(mainly restricted to the case of planar curves), and then develop our more
general approach.


title: A GIANO-TNG high resolution IR spectrum of the airglow emission

abstract:
  A flux-calibrated high resolution spectrum of the airglow emission is a
practical lambda-calibration reference for astronomical spectral observations.
It is also useful for constraining the molecular parameters of the OH molecule
and the physical conditions in the upper mesosphere. methods: We use the data
collected during the first technical commissioning of the GIANO spectrograph at
the Telescopio Nazionale Galileo (TNG). The high resolution (R~50,000) spectrum
simultaneously covers the 0.95-2.4 micron wavelength range. Relative flux
calibration is achieved by the simultaneous observation of spectrophotometric
standard star. results: We derive a list of improved positions and intensities
of OH infrared lines. The list includes Lambda-split doublets many of which are
spectrally resolved. Compared to previous works, the new results correct errors
in the wavelengths of the Q-branch transitions. The relative fluxes of OH lines
from different vibrational bands show remarkable deviations from theoretical
predictions: the Deltav=3,4 lines are a factor of 2 and 4 brighter than
expected. We also find evidence of a significant fraction (1-4%) of OH
molecules with ``non-thermal'' population of high-J levels. Finally we list
wavelengths and fluxes of 153 lines not attributable to OH. Most of these can
be associated to O2, while 37 lines in the H band are not identified. The O2
and unidentified lines in the H band account for ~5% of the total airglow flux
in this band.


title: Total occurrence statistics on restricted permutations

abstract:
  We study the total number of occurrences of several vincular (also called
generalized) patterns and other statistics, such as the major index and the
Denert statistic, on permutations avoiding a pattern of length 3, extending
results of Bona (2010, 2012) and Homberger (2012). In particular, for
2-3-1-avoiding permutations, we find the total number of occurrences of any
vincular pattern of length 3. In some cases the answer is given by simple
expressions involving binomial coefficients. The tools we use are bijections
with Dyck paths, generating functions, and block decompositions of
permutations.


title: Convergence of Distributed Randomized PageRank Algorithms

abstract:
  The PageRank algorithm employed by Google quantifies the importance of each
page by the link structure of the web. To reduce the computational burden the
distributed randomized PageRank algorithms (DRPA) recently appeared in
literature suggest pages to update their ranking values by locally
communicating with the linked pages. The main objective of the note is to show
that the estimates generated by DRPA converge to the true PageRank value almost
surely under the assumption that the randomization is realized in an
independent and identically distributed (iid) way. This is achieved with the
help of the stochastic approximation (SA) and its convergence results.


title: On the unit group of a commutative group ring

abstract:
  We investigate the group of normalized units of the group algebra
$\mathbb{Z}_{p^e}G$ of a finite abelian $p$-group $G$ over the ring
$\mathbb{Z}_{p^e}$ of residues modulo $p^e$ with $e\geq 1$.


title:
How to construct the proper gauge-invariant density matrix in
  steady-state nonequilibrium: Applications to spin-transfer and spin-orbit
  torques

abstract:
  Experiments observing spin density and spin currents (responsible for, e.g.,
spin-transfer torque) in spintronic devices measure only the nonequilibrium
contributions to these quantities, typically driven by injecting unpolarized
charge current or by applying external time-dependent fields. On the other
hand, theoretical approaches to calculate them operate with both the
nonequilibrium (carried by electrons around the Fermi surface) and the
equilibrium (carried by the Fermi sea electrons) contributions. Thus, an
unambiguous procedure should remove the equilibrium contributions, thereby
rendering the nonequilibrium ones which are measurable and satisfy the
gauge-invariant condition according to which expectation values of physical
quantities should not change when electric potential everywhere is shifted by a
constant amount. Using the framework of nonequilibrium Green functions, we
delineate such procedure which yields the proper gauge-invariant nonequilibrium
density matrix in the linear-response and elastic transport regime for
current-carrying steady state of an open quantum system connected to two
macroscopic reservoirs. Its usage is illustrated by computing: (i) conventional
spin-transfer torque (STT) in asymmetric F/I/F magnetic tunnel junctions
(MTJs); (ii) unconventional STT in asymmetric N/I/F semi-MTJs with the strong
Rashba spin-orbit coupling (SOC) at the I/F interface and injected current
perpendicular to that plane; and (iii) current-driven spin density within a
clean ferromagnetic Rashba spin-split two-dimensional electron gas (2DEG) which
generates SO torque in laterally patterned N/F/I heterostructures when such
2DEG is located at the N/F interface and injected charge current flows parallel
to the plane.


title: The double RGB in M 2: C, N, Sr and Ba abundances

abstract:
  The globular cluster M 2 has a photometrically detected double red giant
branch (RGB) sequence. We investigate here the chemical differences between the
two RGBs in order to gain insight in the star formation history of this
cluster. The low-resolution spectra, covering the blue spectral range, were
collected with the MODS spectrograph on the LBT, and analyzed via spectrum
synthesis technique. The high quality of the spectra allows us to measure C, N,
Ba, and Sr abundances relative to iron for 15 RGB stars distributed along the
two sequences. We add to the MODS sample C and N measurements for 35 additional
stars belonging to the blue RGB sequence, presented in Lardo et al. (2012). We
find a clear separation between the two groups of stars in s-process elements
as well as C and N content. Both groups display a C-N anti-correlation and the
red RGB stars are on average richer in C and N with respect to the blue RGB.
Our results reinforce the suggestion that M2 belongs to the family of globular
clusters with complex star formation history, together with Omega Cen, NGC
1851, and M 22.


title: Relative Entropy and Holography

abstract:
  Relative entropy between two states in the same Hilbert space is a
fundamental statistical measure of the distance between these states. Relative
entropy is always positive and increasing with the system size. Interestingly,
for two states which are infinitesimally different to each other, vanishing of
relative entropy gives a powerful equation $\Delta S=\Delta H$ for the first
order variation of the entanglement entropy $\Delta S$ and the expectation
value of the \modu Hamiltonian $\Delta H$. We evaluate relative entropy between
the vacuum and other states for spherical regions in the AdS/CFT framework. We
check that the relevant equations and inequalities hold for a large class of
states, giving a strong support to the holographic entropy formula. We
elaborate on potential uses of the equation $\Delta S=\Delta H$ for vacuum
state tomography and obtain modified versions of the Bekenstein bound.


title: Spherical subgroups in simple algebraic groups

abstract:
  Let $G$ be a simple algebraic group. A closed subgroup $H$ of $G$ is called
spherical provided it has a dense orbit on the flag variety $G/B$ of $G$.
Reductive spherical subgroups of simple Lie groups were classified by Kr\"amer
in 1979. In 1997, Brundan showed that each example from Kr\"amer's list also
gives rise to a spherical subgroup in the corresponding simple algebraic group
in any positive characteristic. Nevertheless, there is no classification of all
such instances in positive characteristic to date. The goal of this paper is to
complete this classification. It turns out that there is only one additional
instance (up to isogeny) in characteristic $2$ which has no counterpart in
Kr\"amer's classification.
  As one of our key tools, we prove a general deformation result for subgroup
schemes allowing us to deduce the sphericality of subgroups in positive
characteristic from this property for subgroups in characteristic $0$.


title:
Empirical Analysis of Stochastic Volatility Model by Hybrid Monte Carlo
  Algorithm

abstract:
  The stochastic volatility model is one of volatility models which infer
latent volatility of asset returns. The Bayesian inference of the stochastic
volatility (SV) model is performed by the hybrid Monte Carlo (HMC) algorithm
which is superior to other Markov Chain Monte Carlo methods in sampling
volatility variables. We perform the HMC simulations of the SV model for two
liquid stock returns traded on the Tokyo Stock Exchange and measure the
volatilities of those stock returns. Then we calculate the accuracy of the
volatility measurement using the realized volatility as a proxy of the true
volatility and compare the SV model with the GARCH model which is one of other
volatility models. Using the accuracy calculated with the realized volatility
we find that empirically the SV model performs better than the GARCH model.


title:
Interaction reconstructed integer quantized Hall effect topological
  insulator

abstract:
  We discuss the role of direct Coulomb interaction on the bulk insulator of
the integer quantized Hall effect that bridges the topological insulators and
the conductance quantization. We investigate the magneto-transport properties
of a two-dimensional electron system in the bulk, numerically, utilizing the
self-consistent Thomas-Fermi-Poisson screening theory. Topologically distorted
Hall bars with and without potential fluctuations are considered that comprises
two identical inner contacts. Although these contacts change the topology, we
show that quantized Hall effect survives due to redistributed incompressible
strips on account of interactions. It is shown phenomenologically that the
impedance between these contacts can be obtained by a minimal transport model.
An important prediction of our self-consistent approach is a finite impedance
between the inner contacts even in the plateau regime, where the maximum of the
impedance decreases with increasing temperature.


title: On the Topology induced by Probabilistic Modular spaces

abstract:
  In this note, we investigate some topological properties of probabilistic
modular spaces.


title:
Finite size corrections to disordered systems on Erd\"{o}s-R\'enyi
  random graphs

abstract:
  We study the finite size corrections to the free energy density in disorder
spin systems on sparse random graphs, using both replica theory and cavity
method. We derive an analytical expressions for the $O(1/N)$ corrections in the
replica symmetric phase as a linear combination of the free energies of open
and closed chains. We perform a numerical check of the formulae on the Random
Field Ising Model at zero temperature, by computing finite size corrections to
the ground state energy density.


title: General rules for bosonic bunching in multimode interferometers

abstract:
  We perform a comprehensive set of experiments that characterize bosonic
bunching of up to 3 photons in interferometers of up to 16 modes. Our
experiments verify two rules that govern bosonic bunching. The first rule,
obtained recently in [1,2], predicts the average behavior of the bunching
probability and is known as the bosonic birthday paradox. The second rule is
new, and establishes a n!-factor quantum enhancement for the probability that
all n bosons bunch in a single output mode, with respect to the case of
distinguishable bosons. Besides its fundamental importance in phenomena such as
Bose-Einstein condensation, bosonic bunching can be exploited in applications
such as linear optical quantum computing and quantum-enhanced metrology.


title: A Bag of Words Approach for Semantic Segmentation of Monitored Scenes

abstract:
  This paper proposes a semantic segmentation method for outdoor scenes
captured by a surveillance camera. Our algorithm classifies each perceptually
homogenous region as one of the predefined classes learned from a collection of
manually labelled images. The proposed approach combines two different types of
information. First, color segmentation is performed to divide the scene into
perceptually similar regions. Then, the second step is based on SIFT keypoints
and uses the bag of words representation of the regions for the classification.
The prediction is done using a Na\"ive Bayesian Network as a generative
classifier. Compared to existing techniques, our method provides more compact
representations of scene contents and the segmentation result is more
consistent with human perception due to the combination of the color
information with the image keypoints. The experiments conducted on a publicly
available data set demonstrate the validity of the proposed method.


title: Dissipation flow-frames: particle, energy, thermometer

abstract:
  We associate the following physical co-mover conditions of to different frame
choices: i) Eckart: particle flow, ii) Landau-Lifshitz: energy flow, iii)
J\"uttner: moving thermometer frame. The role of fixing a flow-frame is
analysed with respect to local equilibrium concentrating on dissipative
currents and forces in single component relativistic fluids. The special role
of a "J\"uttner frame" is explored and contrasted to the more common Eckart and
Landau-Lifshitz choices.


title: Some Problems on the Classical N-Body Problem

abstract:
  Our idea is to imitate Smale's list of problems, in a restricted domain of
mathematical aspects of Celestial Mechanics. All the problems are on the n-body
problem, some with different homogeneity of the potential, addressing many
aspects such as central configurations, stability of relative equilibrium,
singularities, integral manifolds, etc. Following Steve Smale in his list, the
criteria for our selection are: (1) Simple statement. Also preferably
mathematically precise, and best even with a yes or no answer. (2) Personal
acquaintance with the problem, having found it not easy. (3) A belief that the
question, its solution, partial results or even attempts at its solution are
likely to have great importance for the development of the mathematical aspects
of Celestial Mechanics.


title: Comment on "Origin of cosmic magnetic fields"

abstract:
  We argue that the result presented in "Origin of cosmic magnetic fields" by
L. Campanelli [arXiv:1304.6534] is unphysical.


title:
Representation of Solutions of Linear Homogeneous Caputo Fractional
  Differential Equations with Continuous Variable Coefficients

abstract:
  We consider the canonical fundamental systems of solutions of linear
homogeneous Caputo fractional differential equations with continuous variable
coefficients. Here we gained a series-representation of the canonical
fundamental system by coefficients of the considered equations and the
representation of solution to initial value problems using the canonical
fundamental system. According to our results, the canonical fundamental system
of solutions to linear homogeneous differential equation with Caputo fractional
derivatives and continuous variable coefficients has different representations
according to the distributions of the lowest order of the fractional
derivatives in the equation and the distance from the highest order to its
adjacent order of the fractional derivatives in the equation.


title:
Models and possible progenitors of gamma-ray bursts at the test field of
  the observations

abstract:
  During the last 15 years, a standard paradigm has emerged to explain both the
progenitor nature and the observed radiations of gamma-ray bursts. In this work
we show three GRBs for which the standard paradigm could be tested with high
statistics due to their exceptional spectral and temporal coverage. While GRB
1110205 represents a very good example of the standard scenario, GRB 090102 and
GRB 111209A do not fit into the standard paradigm.


title:
Localised particles and fuzzy horizons: A tool for probing Quantum Black
  Holes

abstract:
  The horizon is a classical concept that arises in general relativity, and is
therefore not clearly defined when the source cannot be reliably described by
classical physics. To any (sufficiently) localised quantum mechanical
wave-function, one can associate a horizon wave-function which yields the
probability of finding a horizon of given radius centred around the source. We
can then associate to each quantum particle a probability that it is a black
hole, and the existence of a minimum black hole mass follows naturally, which
agrees with the one obtained from the hoop conjecture and the Heisenberg
uncertainty principle.


title:
The stochastic background: scaling laws and time to detection for pulsar
  timing arrays

abstract:
  We derive scaling laws for the signal-to-noise ratio of the optimal
cross-correlation statistic, and show that the large power-law increase of the
signal-to-noise ratio as a function of the the observation time $T$ that is
usually assumed holds only at early times. After enough time has elapsed,
pulsar timing arrays enter a new regime where the signal to noise only scales
as $\sqrt{T}$. In addition, in this regime the quality of the pulsar timing
data and the cadence become relatively un-important. This occurs because the
lowest frequencies of the pulsar timing residuals become gravitational-wave
dominated. Pulsar timing arrays enter this regime more quickly than one might
naively suspect. For T=10 yr observations and typical stochastic background
amplitudes, pulsars with residual RMSs of less than about $1\,\mu$s are already
in that regime. The best strategy to increase the detectability of the
background in this regime is to increase the number of pulsars in the array. We
also perform realistic simulations of the NANOGrav pulsar timing array, which
through an aggressive pulsar survey campaign adds new millisecond pulsars
regularly to its array, and show that a detection is possible within a decade,
and could occur as early as 2016.


title: Transient heat flux shielding using thermal metamaterials

abstract:
  We have developed a heat shield based on a metamaterial engineering approach
to shield a region from transient diffusive heat flow. The shield is designed
with a multilayered structure to prescribe the appropriate spatial profile for
heat capacity, density, and thermal conductivity of the effective medium. The
heat shield was experimentally compared to other isotropic materials.


title:
Three-BMN Correlation Functions: Integrability vs. String Field Theory
  One-Loop Mismatch

abstract:
  We compare calculations of the three-point correlation functions of BMN
operators at the one-loop (next-to-leading) order in the scalar SU(2) sector
from the integrability expression recently suggested by Gromov and Vieira, and
from the string field theory expression based on the effective interaction
vertex by Dobashi and Yoneya. A disagreement is found between the form-factors
of the correlation functions in the one-loop contributions. The order-of-limits
problem is suggested as a possible explanation of this discrepancy.


title: ScrambleSuit: A Polymorph Network Protocol to Circumvent Censorship

abstract:
  Deep packet inspection technology became a cornerstone of Internet censorship
by facilitating cheap and effective filtering of what censors consider
undesired information. Moreover, filtering is not limited to simple pattern
matching but makes use of sophisticated techniques such as active probing and
protocol classification to block access to popular circumvention tools such as
Tor.
  In this paper, we propose ScrambleSuit; a thin protocol layer above TCP whose
purpose is to obfuscate the transported application data. By using morphing
techniques and a secret exchanged out-of-band, we show that ScrambleSuit can
defend against active probing and other fingerprinting techniques such as
protocol classification and regular expressions.
  We finally demonstrate that our prototype exhibits little overhead and
enables effective and lightweight obfuscation for application layer protocols.


title: Lepton Mixing Predictions from Delta(6n^2) Family Symmetry

abstract:
  We obtain predictions of lepton mixing parameters for direct models based on
Delta(6n^2) family symmetry groups for arbitrarily large n in which the full
Klein symmetry is identified as a subgroup of the family symmetry. After
reviewing and developing the group theory associated with Delta(6n^2), we find
many new candidates for large n able to yield reactor angle predictions within
3 sigma of recent global fits. We show that such Delta(6n^2) models with
Majorana neutrinos predict trimaximal mixing with reactor angle theta_{13}
fixed up to a discrete choice, an oscillation phase of either zero or pi and
the atmospheric angle sum rules theta_{23}=45 degrees -/+ theta_{13}/sqrt{2},
respectively, which are consistent with recent global fits and will be tested
in the near future.


title: Periods of second kind differentials of (n,s)-curves

abstract:
  For elliptic curves, expressions for the periods of elliptic integrals of the
second kind in terms of theta-constants, have been known since the middle of
the 19th century. In this paper we consider the problem of generalizing these
results to curves of higher genera, in particular to a special class of
algebraic curves, the so-called $(n,s)$-curves. It is shown that the
representations required can be obtained by the comparison of two equivalent
expressions for the projective connection, one due to Fay-Wirtinger and the
other from Klein-Weierstrass. As a principle example, we consider the case of
the genus two hyperelliptic curve, and a number of new Thomae and
Rosenhain-type formulae are obtained. We anticipate that our analysis for the
genus two curve can be extended to higher genera hyperelliptic curves, as well
as to other classes of $(n,s)$ non-hyperelliptic curves.


title:
Pygmies, giants, and skins as laboratory constraints on the equation of
  state of neutron-rich matter

abstract:
  Laboratory experiments sensitive to the density dependence of the symmetry
energy may place stringent constraints on the equation of state of neutron-rich
matter and, thus, on the structure, dynamics, and composition of neutron stars.
Understanding the equation of state of neutron-rich matter is a central goal of
nuclear physics that cuts across a variety of disciplines. In this contribution
I focus on how laboratory experiments on neutron skins and on both Pygmy and
Giant resonances can help us elucidate the structure of neutron stars.


title:
DREAM_OLSR PROTOCOL (Distance Routing Effective Algorithm for Mobility -
  Optimized Link State Routing)

abstract:
  This paper lays down a proposal of protocol named DREAM_OLSR. The protocol
has been developed so as to effect current OLSR (RFC 3626) [4] protocol. The
protocol establishes an optimized solution hence the name has been manipulated
from Open Link State Routing to DREAM Optimized Link State Routing. DREAM
specifies Distance Routing Effective Algorithm for Mobility wherein it
implements the Distance routing effective algorithm for the optimized solution.
This optimization includes higher efficiency and fewer overheads for the MANET.


title:
The Unary Fragments of Metric Interval Temporal Logic: Bounded versus
  Lower bound Constraints (Full Version)

abstract:
  We study two unary fragments of the well-known metric interval temporal logic
MITL[U_I,S_I] that was originally proposed by Alur and Henzinger, and we pin
down their expressiveness as well as satisfaction complexities. We show that
MITL[F_\inf,P_\inf] which has unary modalities with only lower-bound
constraints is (surprisingly) expressively complete for Partially Ordered 2-Way
Deterministic Timed Automata (po2DTA) and the reduction from logic to automaton
gives us its NP-complete satisfiability. We also show that the fragment
MITL[F_b,P_b] having unary modalities with only bounded intervals has
\nexptime-complete satisfiability. But strangely, MITL[F_b,P_b] is strictly
less expressive than MITL[F_\inf,P_\inf]. We provide a comprehensive picture of
the decidability and expressiveness of various unary fragments of MITL.


title:
Recovering Joys Law as a Function of Solar Cycle, Hemisphere, and
  Longitude

abstract:
  Bipolar active regions in both hemispheres tend to be tilted with respect to
the East West equator of the Sun in accordance with Joys law that describes the
average tilt angle as a function of latitude. Mt. Wilson observatory data from
1917 to 1985 are used to analyze the active-region tilt angle as a function of
solar cycle, hemisphere, and longitude, in addition to the more common
dependence on latitude. Our main results are as follows: i) We recommend a
revision of Joys law toward a weaker dependence on latitude (slope of 0.13 to
0.26) and without forcing the tilt to zero at the Equator. ii) We determine
that the hemispheric mean tilt value of active regions varies with each solar
cycle, although the noise from a stochastic process dominates and does not
allow for a determination of the slope of Joys law on an 11-year time scale.
iii) The hemispheric difference in mean tilt angles, 1.1 degrees + 0.27, over
Cycles 16 to 21 was significant to a three-sigma level, with average tilt
angles in the northern and southern hemispheres of 4.7 degrees + 0.26 and 3.6
degrees + 0.27 respectively. iv) Area-weighted mean tilt angles normalized by
latitude for Cycles 15 to 21 anticorrelate with cycle strength for the southern
hemisphere and whole-Sun data, confirming previous results by Dasi-Espuig,
Solanki, Krivova, et al. (2010, Astron. Astrophys. 518, A7). The northern
hemispheric mean tilt angles do not show a dependence on cycle strength. vi)
Mean tilt angles do not show a dependence on longitude for any hemisphere or
cycle. In addition, the standard deviation of the mean tilt is 29 to 31 degrees
for all cycles and hemispheres indicating that the scatter is due to the same
consistent process even if the mean tilt angles vary.


title:
Wake-mediated interaction between driven particles crossing a
  perpendicular flow

abstract:
  Diagonal or chevron patterns are known to spontaneously emerge at the
intersection of two perpendicular flows of self-propelled particles, e.g.
pedestrians. The instability responsible for this pattern formation has been
studied in previous work in the context of a mean-field approach. Here we
investigate the microscopic mechanism yielding to this pattern. We present a
lattice model study of the wake created by a particle crossing a perpendicular
flow and show how this wake can localize other particles traveling in the same
direction as a result of an effective interaction mediated by the perpendicular
flow. The use of a semi-deterministic model allows us to characterize
analytically the effective interaction between two particles.


title: Efficient Density Estimation via Piecewise Polynomial Approximation

abstract:
  We give a highly efficient "semi-agnostic" algorithm for learning univariate
probability distributions that are well approximated by piecewise polynomial
density functions. Let $p$ be an arbitrary distribution over an interval $I$
which is $\tau$-close (in total variation distance) to an unknown probability
distribution $q$ that is defined by an unknown partition of $I$ into $t$
intervals and $t$ unknown degree-$d$ polynomials specifying $q$ over each of
the intervals. We give an algorithm that draws $\tilde{O}(t\new{(d+1)}/\eps^2)$
samples from $p$, runs in time $\poly(t,d,1/\eps)$, and with high probability
outputs a piecewise polynomial hypothesis distribution $h$ that is
$(O(\tau)+\eps)$-close (in total variation distance) to $p$. This sample
complexity is essentially optimal; we show that even for $\tau=0$, any
algorithm that learns an unknown $t$-piecewise degree-$d$ probability
distribution over $I$ to accuracy $\eps$ must use $\Omega({\frac {t(d+1)}
{\poly(1 + \log(d+1))}} \cdot {\frac 1 {\eps^2}})$ samples from the
distribution, regardless of its running time. Our algorithm combines tools from
approximation theory, uniform convergence, linear programming, and dynamic
programming.
  We apply this general algorithm to obtain a wide range of results for many
natural problems in density estimation over both continuous and discrete
domains. These include state-of-the-art results for learning mixtures of
log-concave distributions; mixtures of $t$-modal distributions; mixtures of
Monotone Hazard Rate distributions; mixtures of Poisson Binomial Distributions;
mixtures of Gaussians; and mixtures of $k$-monotone densities. Our general
technique yields computationally efficient algorithms for all these problems,
in many cases with provably optimal sample complexities (up to logarithmic
factors) in all parameters.


title:
Moment-angle manifolds, intersection of quadrics and higher dimensional
  contact manifolds

abstract:
  We construct new examples of contact manifolds in arbitrarily large
dimensions. These manifolds which we call quasi moment-angle manifolds, are
closely related to the classical moment-angle manifolds.


title: Science with the ASTRI prototype

abstract:
  ASTRI (Astrofisica a Specchi con Tecnologia Replicante Italiana) is a
"Flagship Project" financed by the Italian Ministry of Instruction, University
and Research and led by the Italian National Institute of Astrophysics. It
represents the Italian proposal for the development of the Small Size Telescope
system of the Cherenkov Telescope Array, the next generation observatory for
Very High Energy gamma-rays (20 GeV - 100 TeV). The ASTRI end-to-end prototype
will be installed at Serra La Nave (Catania, Italy) and it will see the first
light at the beginning of 2014. We describe the expected performance of the
prototype on few selected test cases of the northern emisphere. The aim of the
prototype is to probe the technological solutions and the nominal performance
of the various telescope's subsystems.


title: Specific heat of a non-local attractive Hubbard model

abstract:
  The specific heat of an attractive (interaction $G<0$) non-local Hubbard
model is investigated. We use a two-pole approximation which leads to a set of
correlation functions. In particular, the correlation function $\
<\vec{S}_i\cdot\vec{S}_j\ >$ plays an important role as a source of anomalies
in the normal state of the model. Our results show that for a giving range of
$G$ and $\delta$ where $\delta=1-n_T$ ($n_T=n_{\uparrow}+n_{\downarrow}$), the
specific heat as a function of the temperature presents a two peak structure.
Nevertehelesss, the presence of a pseudogap on the anti-nodal points
$(0,\pm\pi)$ and $(\pm\pi,0)$ eliminates the two peak structure, the low
temperature peak remaining. The effects of the second nearest neighbor hopping
on the specific heat are also investigated.


title: Divide and Conquer Roadmap for Algebraic Sets

abstract:
  Let $\mathrm{R}$ be a real closed field, and $\mathrm{D} \subset \mathrm{R}$
an ordered domain. We describe an algorithm that given as input a polynomial $P
\in \mathrm{D} [ X_{1},\ldots,X_{k} ]$, and a finite set, $\mathcal{A}= \{
p_{1}, \ldots,p_{m} \}$, of points contained in $V= \mathrm{Zer}( P,
\mathrm{R}^{k})$ described by real univariate representations, computes a
roadmap of $V$ containing $\mathcal{A}$. The complexity of the algorithm,
measured by the number of arithmetic operations in $\mathrm{D} $ is bounded by
$\left( \sum_{i=1}^{m} D^{O ( \log^{2} ( k ) )}_{i} +1 \right) ( k^{\log ( k )}
d )^{O ( k\log^{2} ( k ))}$, where $d= \mathrm{deg} ( P )$, and $D_{i}$ is the
degree of the real univariate representation describing the point $p_{i}$. The
best previous algorithm for this problem had complexity $\mathrm{card} (
\mathcal{A} )^{O ( 1 )} d^{O ( k^{3/2} )}$ due to Basu, Roy, Safey-El-Din, and
Schost (2012), where it is assumed that the degrees of the polynomials
appearing in the representations of the points in $\mathcal{A}$ are bounded by
$d^{O ( k )}$. As an application of our result we prove that for any real
algebraic subset $V$ of $\mathbb{R}^{k}$ defined by a polynomial of degree $d$,
any connected component $C$ of $V$ contained in the unit ball, and any two
points of $C$, there exist a semi-algebraic path connecting them in $C$, of
length at most $( k ^{\log (k )} d )^{O ( k\log ( k ) )}$, consisting of at
most $( k ^{\log (k )} d )^{O ( k\log ( k ) )}$ curve segments of degrees
bounded by $( k ^{\log ( k )} d )^{O ( k \log ( k) )}$. While it was known
previously, by a result of D'Acunto and Kurdyka, that there always exists a
path of length $( O ( d ) )^{k-1}$ connecting two such points, there was no
upper bound on the complexity of such a path.


title: Privacy and Security in IPv6

abstract:
  Many Internet service providers (ISPs) throughout the world are now in the
process of integrating IPv6 into their Internet access products for retail
customers and corporate clients. One of the most important features of the IPv6
protocol is its huge address space. This will enable users to assign a
life-long stable, unique and globally routable IP address to each personal
device. All users will be able to set up public services at home and be able to
communicate from and to their devices from any point in the network. The
resulting end-to-end reachability is considered a major improvement over the
current situation.IPv6 evoked a new debate between privacy and security in
order to attract more unique IP addresses to locate users, especially with the
advent of mobile devices. While the initial IPv6 specification from 1995 does
already contain a variety of security considerations (namely, message integrity
protection as well as encryption based on IPsec), privacy aspects have not
played a major role in the beginning.


title: The Product Promotion and Consumer Retention Gap in Online Shopping

abstract:
  As the number of online shopping websites increases day by day, so are the
online advertisement strategies and promotional techniques. The number of
people who uses internet keeps on increasing daily and it has become a vast
marketplace to promote products, surely it will be a prime reason to drive any
companies growth in the future.This paper primarily focuses on the areas on
which online shopping lags product promotion and customer retention. Sellers
must concentrate on the areas in which online marketing lags product promotion
techniques; also they should introduce new strategies to increase their market
share to gain customers attention towards their products.


title: Electroweak Supersymmetry (EWSUSY) in the NMSSM

abstract:
  To explain all the available experimental results, we have proposed the
Electroweak Supersymmetry (EWSUSY) previously, where the squarks and/or gluino
are heavy around a few TeVs while the sleptons, sneutrinos, Bino, Winos, and/or
Higgsinos are light within one TeV. In the Next to Minimal Supersymmetric
Standard Model (NMSSM), we perform the systematic \chi^2 analyses on parameter
space scan for three EWSUSY scenarios: (I) R-parity conservation and one dark
matter candidate; (II) R-parity conservation and multi-component dark matter;
(III) R-parity violation. We obtain the minimal \chi^2/(degree of freedom) of
10.2/15, 9.6/14, and 9.2/14 respectively for Scenarios I, II, and III.
Considering the constraints from the LHC neutralino/chargino and slepton
searches, we find that the majority of viable parameter space prefered by the
muon anomalous magnetic moment has been excluded except for the parameter space
with moderate to large \tan\beta (\ge 8). Especially, the most favorable
parameter space has relatively large \tan\beta, moderate \lambda, small
\mu_{eff}, heavy squarks/gluino, and the second lightest CP-even neutral Higgs
boson with mass around 125 GeV. In addition, if the left-handed smuon is nearly
degenerate with or heavier than Wino, there is no definite bound on Wino mass.
Otherwise, the Wino with mass up to \sim 450 GeV has been excluded.
Furthermore, we present several benchmark points for Scenarios I and II, and
briefly discuss the prospects of the EWSUSY searches at the 14 TeV LHC and ILC.


title: A computer algebra user interface manifesto

abstract:
  Many computer algebra systems have more than 1000 built-in functions, making
expertise difficult. Using mock dialog boxes, this article describes a proposed
interactive general-purpose wizard for organizing optional transformations and
allowing easy fine grain control over the form of the result even by amateurs.
This wizard integrates ideas including:
  * flexible subexpression selection;
  * complete control over the ordering of variables and commutative operands,
with well-chosen defaults;
  * interleaving the choice of successively less main variables with applicable
function choices to provide detailed control without incurring a combinatorial
number of applicable alternatives at any one level;
  * quick applicability tests to reduce the listing of inapplicable
transformations;
  * using an organizing principle to order the alternatives in a helpful
manner;
  * labeling quickly-computed alternatives in dialog boxes with a preview of
their results,
  * using ellipsis elisions if necessary or helpful;
  * allowing the user to retreat from a sequence of choices to explore other
branches of the tree of alternatives or to return quickly to branches already
visited;
  * allowing the user to accumulate more than one of the alternative forms;
  * integrating direct manipulation into the wizard; and
  * supporting not only the usual input-result pair mode, but also the useful
alternative derivational and in situ replacement modes in a unified window.


title: Modified trigonometric integrators

abstract:
  We study modified trigonometric integrators, which generalize the popular
class of trigonometric integrators for highly oscillatory Hamiltonian systems
by allowing the fast frequencies to be modified. Among all methods of this
class, we show that the IMEX (implicit-explicit) method, which is equivalent to
applying the midpoint rule to the fast, linear part of the system and the
leapfrog (St\"ormer/Verlet) method to the slow, nonlinear part, is
distinguished by the following properties: (i) it is symplectic; (ii) it is
free of artificial resonances; (iii) it is the unique method that correctly
captures slow energy exchange to leading order; (iv) it conserves the total
energy and a modified oscillatory energy up to to second order; (v) it is
uniformly second-order accurate in the slow components; and (vi) it has the
correct magnitude of deviations of the fast oscillatory energy, which is an
adiabatic invariant. These theoretical results are supported by numerical
experiments on the Fermi-Pasta-Ulam problem and indicate that the IMEX method,
for these six properties, dominates the class of modified trigonometric
integrators.