title:
Switching probability investigation of electric field-induced
  precessional magnetization switching

abstract:
  We report theoretical investigation of the switching probability of electric
field-induced precessional magnetization switching by solving the Fokker-Planck
equation numerically with finite difference method. The switching probability
is determined by the net magnetic field induced by the deviation of precession
angle from its equilibrium position after precession process. The error rate
has the lowest value under an appropriate applied external field for the
voltage pulse duration ${\tau}_{pulse}$ a little longer than the half
precession period. The calculated results show that ultra-low error rate down
to the order of $10^{-12}$ can be achieved for thermal stability factor
{\Delta} = 50 and low damping factor material should be used for free layer to
improve the switching probability. For parallel (anti-parallel) magnetization
to anti-parallel (parallel) magnetization switching process, the spin transfer
torque tends to decrease (increase) the error rate when the ${\tau}_{pulse}$ is
shorter than the half precession period, and increase (decrease) the error rate
when ${\tau}_{pulse}$ is longer than the half-period. These results exhibit
potential of electric field-induced precessional magnetization switching for
ultra-low power, high speed magnetic random access memory (MRAM) application.


title: Steklov eigenvalues on annulus

abstract:
  We obtain supremum of the k-th normalized Steklov eigenvalues of all
rotational symmetric conformal metrics on the cylinder with k>1. The case k=1
for all conformal metrics has been completely solved by Fraser and Schoen. We
give geometric description in terms of minimal surfaces for metrics attaining
the supremum. We also obtain some partial results on the comparison of the
normalized Stekov eigenvalues of rotationally symmetric metrics and general
conformal metrics on the cylinder. A counter example is constructed to show
that for that the first normalized Steklov eigenvalue of rotationally symmetric
metric may not be larger.


title: Optimal random search, fractional dynamics and fractional calculus

abstract:
  What is the most efficient search strategy for the random located target
sites subject to the physical and biological constraints? Previous results
suggested the L\'evy flight is the best option to characterize this optimal
problem, however, which ignores the understanding and learning abilities of the
searcher agents. In the paper we propose the Continuous Time Random Walk (CTRW)
optimal search framework and find the optimum for both of search length's and
waiting time's distributions. Based on fractional calculus technique, we
further derive its master equation to show the mechanism of such complex
fractional dynamics. Numerous simulations are provided to illustrate the
non-destructive and destructive cases.


title:
Weak interaction between germanene and GaAs(0001) by H intercalation: A
  route to exfoliation

abstract:
  The epitaxial growth of germanene on semiconducting GaAs(0001) substrate is
studied using $ab$-$initio$ calculations. The interaction of the germanene is
found to be minimum with the substrate. Our obtained results strongly indicate
that it is possible to take off germanene from the substrate to make it free
standing. We demonstrate a methods to achieve this aim. We also address the
electronic structure of germanene on GaAs(0001) substrate and found to be the
Dirac cone shift above the Fermi level with the spltting of 160 meV.
Forthermore, we calculate the band structure of the free standing germanene
with and without substrate and found band gap of 24 meV due to the intrinsic
spin orbit coupling.


title: Arithmetic invariant theory II

abstract:
  Let $k$ be a field, let $G$ be a reductive group, and let $V$ be a linear
representation of $G$. Let $V//G = Spec(Sym(V^*))^G$ denote the geometric
quotient and let $\pi: V \to V//G$ denote the quotient map. Arithmetic
invariant theory studies the map $\pi$ on the level of $k$-rational points. In
this article, which is a continuation of the results of our earlier paper
"Arithmetic invariant theory", we provide necessary and sufficient conditions
for a rational element of $V//G$ to lie in the image of $\pi$, assuming that
generic stabilizers are abelian. We illustrate the various scenarios that can
occur with some recent examples of arithmetic interest.


title: The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions

abstract:
  We present the "entropy sum" relation of (A)dS charged black holes in higher
dimensional Einstein-Maxwell gravity, $f(R)$ gravity, Gauss-Bonnet gravity and
gauged supergravity. For their "entropy sum" with the necessary effect of the
un-physical "virtual" horizon included, we conclude the general results that
the cosmological constant dependence and Gauss-Bonnet coupling constant
dependence do hold in both the four and six dimensions, while the "entropy sum"
is always vanishing in odd dimensions. Furthermore, the "entropy sum" of all
horizons is related to the geometry of the horizons in four and six dimensions.
In these explicitly four cases, one also finds that the conserved charges $M$
(the mass), $Q$ (the charge from Maxwell field or supergravity) and the
parameter $a$ (the angular momentum) play no role in the "entropy sum"
relations.


title: On the number of permutation polynomials over a finite field

abstract:
  We find a formula for the number of permutation polynomials of degree q-2
over a finite field Fq, which has q elements, in terms of the permanent of a
matrix. We write down an expression for the number of permutation polynomials
of degree q-2 over a finite field Fq, using the permanent of a matrix whose
entries are pth roots of unity and using this obtain a nontrivial bound for the
number. Finally, we provide a formula for the number of permutation polynomials
of degree d less than q-2.


title:
A positive proportion of locally soluble hyperelliptic curves over
  $\mathbb Q$ have no point over any odd degree extension

abstract:
  A hyperelliptic curve over $\mathbb Q$ is called "locally soluble" if it has
a point over every completion of $\mathbb Q$. In this paper, we prove that a
positive proportion of hyperelliptic curves over $\mathbb Q$ of genus $g\geq 1$
are locally soluble but have no points over any odd degree extension of
$\mathbb Q$. We also obtain a number of related results. For example, we prove
that for any fixed odd integer $k > 0$, the proportion of locally soluble
hyperelliptic curves over $\mathbb Q$ of genus $g$ having no points over any
odd degree extension of $\mathbb Q$ of degree at most $k$ tends to 1 as $g$
tends to infinity. We also show that the failures of the Hasse principle in
these cases are explained by the Brauer-Manin obstruction. Our methods involve
a detailed study of the geometry of pencils of quadrics over a general field of
characteristic not equal to 2, together with suitable arguments from the
geometry of numbers.


title:
Rational W-shaped Optical Soliton on Continuous Wave in Presence of Kerr
  Dispersion and Stimulated Raman Scattering

abstract:
  We study localized wave on continuous wave background analytically in a
nonlinear fiber with higher order effects such as higher order dispersion, Kerr
dispersion, and stimulated inelastic scattering. We present an exact rational
W-shaped soliton solutions, whose structural properties depend on the frequency
of the background field. The hump value increase with the decrease of the
background frequency in the certain regime. The highest value of the W-shaped
soliton can be nine times the background's, and the distribution shape is
identical with the one of well-known eyes-shaped rogue wave with its maximum
peak. The numerical stimulations indicate that the W-shaped soliton is stable
with small perturbations.


title: Deformations of harmonic mappings and variation of the energy

abstract:
  We study the deformations of twisted harmonic maps $f$ with respect to the
representation $\rho$. After constructing a continuous "universal" twisted
harmonic map, we give a construction of every first order deformation of $f$ in
terms of Hodge theory; we apply this result to the moduli space of reductive
representations of a K\"ahler group, to show that the critical points of the
energy functional $E$ coincide with the monodromy representations of polarized
complex variations of Hodge structure. We then proceed to second order
deformations, where obstructions arise; we investigate the existence of such
deformations, and give a method for constructing them, as well. Applying this
to the energy functional as above, we prove (for every finitely presented
group) that the energy functional is a potential for the K\"ahler form of the
"Betti" moduli space; assuming furthermore that the group is K\"ahler, we study
the eigenvalues of the Hessian of $E$ at critical points.


title: The algebra of essential relations on a finite set

abstract:
  Let X be a finite set and let k be a commutative ring. We consider the
k-algebra of the monoid of all relations on X, modulo the ideal generated by
the relations factorizing through a set of cardinality strictly smaller than
Card(X), called inessential relations. This quotient is called the essential
algebra associated to X. We then define a suitable nilpotent ideal of the
essential algebra and describe completely the structure of the corresponding
quotient, a product of matrix algebras over suitable group algebras. In
particular, we obtain a description of the Jacobson radical and of all the
simple modules for the essential algebra.


title: Delaunay stability via perturbations

abstract:
  We present an algorithm that takes as input a finite point set in Euclidean
space, and performs a perturbation that guarantees that the Delaunay
triangulation of the resulting perturbed point set has quantifiable stability
with respect to the metric and the point positions. There is also a guarantee
on the quality of the simplices: they cannot be too flat. The algorithm
provides an alternative tool to the weighting or refinement methods to remove
poorly shaped simplices in Delaunay triangulations of arbitrary dimension, but
in addition it provides a guarantee of stability for the resulting
triangulation.


title:
Linear Convergence of Comparison-based Step-size Adaptive Randomized
  Search via Stability of Markov Chains

abstract:
  In this paper, we consider comparison-based adaptive stochastic algorithms
for solving numerical optimisation problems. We consider a specific subclass of
algorithms that we call comparison-based step-size adaptive randomized search
(CB-SARS), where the state variables at a given iteration are a vector of the
search space and a positive parameter, the step-size, typically controlling the
overall standard deviation of the underlying search distribution.We investigate
the linear convergence of CB-SARS on\emph{scaling-invariant} objective
functions. Scaling-invariantfunctions preserve the ordering of points with
respect to their functionvalue when the points are scaled with the same
positive parameter (thescaling is done w.r.t. a fixed reference point). This
class offunctions includes norms composed with strictly increasing functions
aswell as many non quasi-convex and non-continuousfunctions. On
scaling-invariant functions, we show the existence of ahomogeneous Markov
chain, as a consequence of natural invarianceproperties of CB-SARS (essentially
scale-invariance and invariance tostrictly increasing transformation of the
objective function). We thenderive sufficient conditions for \emph{global
linear convergence} ofCB-SARS, expressed in terms of different stability
conditions of thenormalised homogeneous Markov chain (irreducibility,
positivity, Harrisrecurrence, geometric ergodicity) and thus define a general
methodologyfor proving global linear convergence of CB-SARS algorithms
onscaling-invariant functions. As a by-product we provide aconnexion between
comparison-based adaptive stochasticalgorithms and Markov chain Monte Carlo
algorithms.


title:
Work Output and Efficiency at Maximum Power of Linear Irreversible Heat
  Engines Operating with a Finite-Sized Heat Source

abstract:
  We formulate the work output and efficiency for linear irreversible heat
engines working between a finite-sized hot heat source and an infinite-sized
cold heat reservoir until the total system reaches the final thermal
equilibrium state with a uniform temperature. We prove that when the heat
engines operate at the maximum power under the tight-coupling condition without
heat leakage the work output is just half of the exergy, which is known as the
maximum available work extracted from a heat source. As a consequence, the
corresponding efficiency is also half of its quasistatic counterpart.


title: Error Assessment in Modeling with Fractal Brownian Motions

abstract:
  To model a given time series $F(t)$ with fractal Brownian motions (fBms), it
is necessary to have appropriate error assessment for related quantities.
Usually the fractal dimension $D$ is derived from the Hurst exponent $H$ via
the relation $D=2-H$, and the Hurst exponent can be evaluated by analyzing the
dependence of the rescaled range $\langle|F(t+\tau)-F(t)|\rangle$ on the time
span $\tau$. For fBms, the error of the rescaled range not only depends on data
sampling but also varies with $H$ due to the presence of long term memory. This
error for a given time series then can not be assessed without knowing the
fractal dimension. We carry out extensive numerical simulations to explore the
error of rescaled range of fBms and find that for $0<H<0.5$, $|F(t+\tau)-F(t)|$
can be treated as independent for time spans without overlap; for $0.5<H<1$,
the long term memory makes $|F(t+\tau)-F(t)|$ correlated and an approximate
method is given to evaluate the error of $\langle|F(t+\tau)-F(t)|\rangle$. The
error and fractal dimension can then be determined self-consistently in the
modeling of a time series with fBms.


title: Epsilon expansion of Appell and Kamp\'e de F\'eriet functions

abstract:
  The decomposition in partial fractions of the quotient of Pochhammer symbols
improves considerably a method, suggested in a precedent paper, which allows
one to obtain the $\varepsilon$-expansion of functions of the hypergeometric
class. The procedure is applied to several Appell and Kamp\'e de F\'eriet
functions considered in the literature. Explicit expressions and interesting
properties of the derivatives of the Pochhammer and reciprocal Pochhammer
symbols, which are essential elements in the procedure, are given in an
appendix.


title:
The properties of the clumpy torus and BLR in the polar-scattered
  Seyfert 1 galaxy ESO 323-G77 through X-ray absorption variability

abstract:
  We report results from multi-epoch X-ray observations of the polar-scattered
Seyfert 1 galaxy ESO 323-G77. The source exhibits remarkable spectral
variability from months to years timescales. The observed spectral variability
is entirely due to variations of the column density of a neutral absorber
towards the intrinsic nuclear continuum. The column density is generally
Compton-thin ranging from a few times 10$^{22}$ cm$^{-2}$ to a few times
10$^{23}$ cm$^{-2}$. However, one observation reveals a Compton-thick state
with column density of the order of 1.5 $\times$ 10$^{24}$ cm$^{-2}$. The
observed variability offers a rare opportunity to study the properties of the
X-ray absorber(s) in an active galaxy. We identify variable X-ray absorption
from two different components, namely (i) a clumpy torus whose individual
clumps have a density of $\leq$ 1.7 $\times$ 10$^8$ cm$^{-3}$ and an average
column density of $\sim$ 4 $\times$ 10$^{22}$ cm$^{-2}$, and (ii) the broad
line region (BLR), comprising individual clouds with density of 0.1-8 $\times$
10$^9$ cm$^{-3}$ and column density of 10$^{23}$-10$^{24}$ cm$^{-2}$. The
derived properties of the clumpy torus can also be used to estimate the torus
half-opening angle, which is of the order of 47 $^\circ$. We also confirm the
previously reported detection of two highly ionized warm absorbers with outflow
velocities of 1000-4000 km s$^{-1}$. The observed outflow velocities are
consistent with the Keplerian/escape velocity at the BLR. Hence, the warm
absorbers may be tentatively identified with the warm/hot inter-cloud medium
which ensures that the BLR clouds are in pressure equilibrium with their
surroundings. The BLR line-emitting clouds may well be the cold, dense clumps
of this outflow, whose warm/hot phase is likely more homogeneous, as suggested
by the lack of strong variability of the warm absorber(s) properties during our
monitoring.


title:
Quasi free-standing silicene in a superlattice with hexagonal boron
  nitride

abstract:
  We study a superlattice of silicene and hexagonal boron nitride by first
principles calculations and demonstrate that the interaction between the layers
of the superlattice is very small. As a consequence, quasi free-standing
silicene is realized in this superlattice. In particular, the Dirac cone of
silicene is preserved, which has not been possible in any other system so far.
Due to the wide band gap of hexagonal boron nitride, the superlattice realizes
the characteristic physical phenomena of free-standing silicene. In particular,
we address by model calculations the combined effect of the intrinsic
spin-orbit coupling and an external electric field, which induces a transition
from a metal to a topological insulator and further to a band insulator.


title: Virial theorem and Gibbs thermodynamic potential for Coulomb systems

abstract:
  Using the grand canonical ensemble and the virial theorem, we show that the
Gibbs thermodynamic potential of the non-relativistic system of charged
particles is uniquely defined by single-particle Green functions of electrons
and nuclei. This result is valid beyond the perturbation theory with respect to
the interparticle interaction.


title: ${\bar\nu}_l$ induced pion production from nuclei at $\sim$1 GeV

abstract:
  We have studied charged current $\bar\nu_l$ induced one pion production from
$^{12}$C and $^{16}$O nuclear targets at MiniBooNE and atmospheric antineutrino
energies. The calculations have been done for the incoherent pion production
process as well as for the pions coming from the hyperons in the quasielastic
production of $\Lambda$ and $\Sigma$. The calculations are done in the local
density approximation. For the inelastic processes the calculations have been
done in the $\Delta$ dominance model and we take into account the effect of
Pauli blocking, Fermi motion of the nucleon and renormalization of $\Delta$
properties in the nuclear medium. The effect of final state interaction(FSI) of
pions is also taken into account. For the hyperon production, the nuclear
medium effects due to Fermi motion and FSI effects due to hyperon-nucleon
scattering have been taken into account. These results may be quite useful in
the analysis of SciBooNE, MicroBooNE, MINER$\nu$A, and ArgoNeuT experiments
when the pion analysis is done by using antineutrino beams.


title:
Discovery of the transient magnetar 3XMM J185246.6+003317 near supernova
  remnant Kesteven 79 with XMM-Newton

abstract:
  We report the serendipitous discovery with XMM-Newton that 3XMM
J185246.6+003317 is an 11.56 s X-ray pulsar located 1' away from the southern
boundary of supernova remnant Kes 79. The spin-down rate of 3XMM
J185246.6+003317 is $<1.1\times 10^{-13}$ s s$^{-1}$, which, together with the
long period P=11.558714(2) s, indicates a dipolar surface magnetic field of
$<3.6\times 10^{-13}$ G, a characteristic age of $>1.7$ Myr, and a spin-down
luminosity of $<2.8\times 10^{30}$ erg s$^{-1}$. The X-ray spectrum of the
source is best-fitted with a resonant Compton scattering model, and can be also
adequately described by a blackbody model. The observations covering a seven
month span from 2008 to 2009 show variations in the spectral properties of the
source, with the luminosity decreasing from $2.7\times 10^{34}$ erg s$^{-1}$ to
$4.6 \times 10^{33}$ erg s$^{-1}$, along with a decrease of the blackbody
temperature from $kT\approx 0.8$ keV to $\approx0.6$ keV. The X-ray luminosity
of the source is higher than its spin-down luminosity, ruling out rotation as a
power source. The combined timing and spectral properties, the non-detection of
any optical or infrared counterpart, together with the lack of detection of the
source in archival X-ray data prior to the 2008 XMM-Newton observation, point
to this source being a newly discovered transient low-B magnetar undergoing an
outburst decay during the XMM-Newton observations. The non-detection by Chandra
in 2001 sets an upper limit $4\times 10^{32}$ erg s$^{-1}$ to the quiescent
luminosity of 3XMM J185246.6+003317. Its period is the longest among currently
known transient magnetars. The foreground absorption toward 3XMM
J185246.6+003317 is similar to that of Kes 79, suggesting a similar distance of
$\sim$7.1 kpc.


title:
Entanglement swapping and testing quantum steering into the past via
  collective decay

abstract:
  We propose a scheme to realize entanglement swapping via superradiance,
entangling two distant cavities without a direct interaction. The successful
Bell-state-measurement outcomes are performed naturally by the electromagnetic
reservoir, and we show how, using a quantum trajectory method, the non-local
properties of the state obtained after the swapping procedure can be verified
by the steering inequality. Furthermore, we discuss how the unsuccessful
measurement outcomes can be used in an experiment of delayed-choice
entanglement swapping. An extension of testing the quantum steering inequality
with the observers at three different times is also considered


title:
Nonlinear evolution of the magnetized Kelvin-Helmholtz instability: from
  fluid to kinetic modeling

abstract:
  The nonlinear evolution of collisionless plasmas is typically a multi-scale
process where the energy is injected at large, fluid scales and dissipated at
small, kinetic scales. Accurately modelling the global evolution requires to
take into account the main micro-scale physical processes of interest. This is
why comparison of different plasma models is today an imperative task aiming at
understanding cross-scale processes in plasmas. We report here the first
comparative study of the evolution of a magnetized shear flow, through a
variety of different plasma models by using magnetohydrodynamic, Hall-MHD,
two-fluid, hybrid kinetic and full kinetic codes. Kinetic relaxation effects
are discussed to emphasize the need for kinetic equilibriums to study the
dynamics of collisionless plasmas in non trivial configurations. Discrepancies
between models are studied both in the linear and in the nonlinear regime of
the magnetized Kelvin-Helmholtz instability, to highlight the effects of small
scale processes on the nonlinear evolution of collisionless plasmas. We
illustrate how the evolution of a magnetized shear flow depends on the relative
orientation of the fluid vorticity with respect to the magnetic field direction
during the linear evolution when kinetic effects are taken into account. Even
if we found that small scale processes differ between the different models, we
show that the feedback from small, kinetic scales to large, fluid scales is
negligable in the nonlinear regime. This study show that the kinetic modeling
validates the use of a fluid approach at large scales, which encourages the
development and use of fluid codes to study the nonlinear evolution of
magnetized fluid flows, even in the colisionless regime.

categories: physics.space-ph astro-ph.EP physics.comp-ph physics.plasm-ph


title:
Theoretical analysis of a Sinc-Nystr\"om method for Volterra
  integro-differential equations and its improvement

abstract:
  A Sinc-Nystr\"om method for Volterra integro-differential equations was
developed by Zarebnia in 2010. The method is quite efficient in the sense that
exponential convergence can be obtained even if the given problem has endpoint
singularity. However, its exponential convergence has not been proved
theoretically. In addition, to implement the method, the regularity of the
solution is required, although the solution is an unknown function in practice.
This paper reinforces the method by presenting two theoretical results: 1) the
regularity of the solution is analyzed, and 2) its convergence rate is
rigorously analyzed. Moreover, this paper improves the method so that a much
higher convergence rate can be attained, and theoretical results similar to
those listed above are provided. Numerical comparisons are also provided.


title: The Noether inequality for Gorenstein minimal 3-folds

abstract:
  We prove the Conjecture of Catenese--Chen--Zhang: the inequality $K_X^3\geq
\frac{4}{3}p_g(X)-\frac{10}{3}$ holds for all projective Gorenstein minimal
3-folds $X$ of general type.


title:
Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional
  1/2-BPS Monopoles

abstract:
  We explain a new construction of self-dual string solutions to the
non-abelian two-form self-duality equation proposed in \cite{CK}. This class of
self-dual strings is determined by the BPS monopoles in four-dimensions and the
self dual string charge is given by the charge of the monopole. Our
construction covers the SO(4) invariant self-dual string solutions found
previously. We have also constructed, based on the 't Hooft-Polyakov monopole,
a singular solution that describes two finitely separated M5-branes meeting
midway in between. We comment that as BPS monopoles are generally given by the
Nahm construction, our construction suggests that a generalized Nahm transform
may exist for the non-abelian self-dual strings.


title: Physical Properties of Fullerene-containing Galactic Planetary Nebulae

abstract:
  We searched the Spitzer Space Telescope data archive for Galactic planetary
nebulae (PNe), that show the characteristic 17.4 and um features due to C60,
also known as buckminsterfullerene. Out of 338 objects with Spitzer/IRS data,
we found eleven C60-containing PNe, six of which (Hen2-68, IC2501, K3-62, M1-6,
M1-9, and SaSt2-3) are new detections. We analyzed the spectra, along with
ancillary data, using the photo-ionization code CLOUDY to establish the atomic
line fluxes, and determine the properties of the radiation field, as set by the
effective temperature of the central star. In addition, we measured the
infrared spectral features due to dust grains. We find that the Polycyclic
Aromatic Hydrocarbon (PAH) profile over 6-9 um in these C60-bearing carbon-rich
PNe is of the more chemically-processed class A. The intensity ratio of 3.3 um
to 11.3 um PAH indicates that the number of C-atoms per PAH in C60-containing
PNe is small compared to that in non-C60 PNe. The Spitzer spectra also show
broad dust features around 11 and 30 um. Analysis of the 30-um feature shows
that it is strongly correlated with the continuum, and we propose that a single
carbon-based carrier is responsible for both the continuum and the feature. The
strength of the 11-um feature is correlated to the temperature of the dust,
suggesting that it is at least partially due to a solid-state carrier. The
chemical abundances of C60-containing PNe can be explained by AGB
nucleosynthesis models for initially 1.5-2.5 Msun stars with Z=0.004. We
plotted the locations of C60-containing PNe on a face-on map of the Milky Way
and we found that most of these PNe are outside the solar circle, consistent
with low metallicity values. Their metallicity suggests that the progenitors
are an older population.


title:
Ultraviolet to infrared emission of z>1 galaxies: Can we derive reliable
  star formation rates and stellar masses?

abstract:
  We seek to derive star formation rates (SFR) and stellar masses (M_star) in
distant galaxies and to quantify the main uncertainties affecting their
measurement. We explore the impact of the assumptions made in their derivation
with standard calibrations or through a fitting process, as well as the impact
of the available data, focusing on the role of IR emission originating from
dust. We build a sample of galaxies with z>1, all observed from the UV to the
IR (rest frame). The data are fitted with the code CIGALE, which is also used
to build and analyse a catalogue of mock galaxies. Models with different SFHs
are introduced. We define different set of data, with or without a good
sampling of the UV range, NIR, and thermal IR data. The impact of these
different cases on the determination of M_star and SFR are analysed.
Exponentially decreasing models with a redshift formation of the stellar
population z ~8 cannot fit the data correctly. The other models fit the data
correctly at the price of unrealistically young ages when the age of the single
stellar population is taken to be a free parameter. The best fits are obtained
with two stellar populations. As long as one measurement of the dust emission
continuum is available, SFR are robustly estimated whatever the chosen model
is, including standard recipes. M_star measurement is more subject to
uncertainty, depending on the chosen model and the presence of NIR data, with
an impact on the SFR-M_star scatter plot. Conversely, when thermal IR data from
dust emission are missing, the uncertainty on SFR measurements largely exceeds
that of stellar mass. Among all physical properties investigated here, the
stellar ages are found to be the most difficult to constrain and this
uncertainty acts as a second parameter in SFR measurements and as the most
important parameter for M_star measurements.


title: Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one

abstract:
  We consider the Ostrovsky equation, which contains nonlinear dispersive
effects. We prove that as the diffusion parameter tend to zero, the solutions
of the dispersive equation converge to discontinuous weak solutions of the
Ostrovsky-Hunter equation. The proof relies on deriving suitable a priori
estimates together with an application of the compensated compactness method in
the L^p setting.


title:
An Improved Bayesian Semiparametric Model for Palaeoclimate
  Reconstruction: Cross-validation Based Model Assessment

abstract:
  Fossil-based palaeoclimate reconstruction is an important area of ecological
science that has gained momentum in the backdrop of the global climate change
debate. The hierarchical Bayesian paradigm provides an interesting platform for
studying such important scientific issue. However, our cross-validation based
assessment of the existing Bayesian hierarchical models with respect to two
modern proxy data sets based on chironomid and pollen, respectively, revealed
that the models are inadequate for the data sets.
  In this paper, we model the species assemblages (compositional data) by the
zero-inflated multinomial distribution, while modelling the species response
functions using Dirichlet process based Gaussian mixtures. This modelling
strategy yielded significantly improved performances, and a formal Bayesian
test of model adequacy, developed recently, showed that our new model is
adequate for both the modern data sets. Furthermore, combining together the
zero-inflated assumption, Importance Resampling Markov Chain Monte Carlo
(IRMCMC) and the recently developed Transformation-based Markov Chain Monte
Carlo (TMCMC), we develop a powerful and efficient computational methodology.


title: Charged pion electroproduction above the resonance region

abstract:
  [Background] Above the nucleon resonance region, the $N(e,e'\pi^\pm)N'$ data
cannot be explained by conventional hadronic models. For example, the observed
magnitude of the transverse cross section is significantly underestimated in a
framework with Reggeized background amplitudes.
  [Purpose] Develop a phenomenological framework for the $N(e,e'\pi^\pm)N'$
reaction at high invariant mass $W$ and deep photon virtuality $Q^2$.
  [Method] Building on the work of Kaskulov and Mosel, a gauged pion-exchange
current is introduced with a running cutoff energy for the proton
electromagnetic transition form factor. A new transition form factor is
proposed. It respects the correct on-shell limit, has a simple physical
interpretation and reduces the number of free parameters by one.
  [Results] A study of the $W$ dependence of the $N(e,e'\pi^\pm)N'$ lends
support for the newly proposed transition form factor. In addition, an improved
description of the separated and unseparated cross sections at $-t \lesssim 0.5
\;\text{GeV}^2$ is obtained. The predictions overshoot the measured unseparated
cross sections for $-t > 0.5 \;\text{GeV}^2$. Introducing a strong hadronic
form factor in the Reggeized background amplitudes brings the calculations
considerably closer to the high $-t$ data.
  [Conclusions] Hadronic models corrected for resonance/parton duality describe
the separated pion electroproduction cross sections above the resonance region
reasonably well at low $-t$. In order to validate the applicability of these
models at high $-t$, separated cross sections are needed. These are expected to
provide a more profound insight into the relevant reaction mechanisms.


title:
On the functional equation of the normalized Shintani l-function of
  several variables

abstract:
  In this paper, we introduce the normalized Shintani L-function of several
variables by an integral representation and prove its functional equation. The
Shintani L-function is a generalization to several variables of the
Hurwitz-Lerch zeta function and the functional equation given in this paper is
a generalization of the functional equation of Hurwitz-Lerch zeta function. In
addition to the functional equation, we give special values of the normalized
Shintani L-function at non-positive integers and some positive integers.


title: Staying Alive: System Design for Self-Sufficient Sensor Networks

abstract:
  Self-sustainability is a crucial step for modern sensor networks. Here, we
offer an original and comprehensive framework for autonomous sensor networks
powered by renewable energy sources. We decompose our design into two nested
optimization steps: the inner step characterizes the optimal network operating
point subject to an average energy consumption constraint, while the outer step
provides online energy management policies making the system energetically
self-sufficient in the presence of unpredictable and intermittent energy
sources. Our framework sheds new light into the design of pragmatic schemes for
the control of energy harvesting sensor networks} and permits to gauge the
impact of key sensor network parameters, such as the battery capacity, the
harvester size, the information transmission rate and the radio duty cycle. We
analyze the robustness of the obtained energy management policies in the cases
where the nodes have differing energy inflow statistics and where topology
changes may occur, devising effective heuristics. Our energy management
policies are finally evaluated considering real solar radiation traces,
validating them against state of the art solutions and describing the impact of
relevant design choices in terms of achievable network throughput and battery
level dynamics.


title: Viscoelastic modes in a strongly coupled cold magnetized dusty plasma

abstract:
  A generalized hydrodynamical model has been used to study low frequency modes
in a strongly coupled, cold, magnetized dusty plasma. Such plasmas exhibit
elastic properties due to strong correlations among dust particles and the
tensile stresses imparted by the magnetic field. It has been shown that
longitudinal compressional Alfven modes and elasticity modified transverse
shear mode exist in such a medium. The features of these collective modes are
established and discussed.


title: Dependence Logic in Pregeometries and $\omega$-Stable Theories

abstract:
  We present a framework for studying the concept of independence in a general
context covering database theory, algebra and model theory as special cases. We
show that well-known axioms and rules of independence for making inferences
concerning basic atomic independence statements are complete with respect to a
variety of semantics. Our results show that the uses of independence concepts
in as different areas as database theory, algebra and model theory, can be
completely characterized by the same axioms. We also consider concepts related
to independence, such as dependence.


title:
Spin-orbit coupling, quantum dots, and qubits in monolayer transition
  metal dichalcogenides

abstract:
  We derive an effective Hamiltonian which describes the dynamics of electrons
in the conduction band of transition metal dichalcogenides (TMDC) in the
presence of perpendicular electric and magnetic fields. We discuss in detail
both the intrinsic and the Bychkov-Rashba spin-orbit coupling (SOC) induced by
an external electric field.
  We point out interesting differences in the spin-split conduction band
between different TMDC compounds. An important consequence of the strong
intrinsic SOC is an effective out-of-plane $g$-factor for the electrons which
differs from the free-electron g-factor $g\simeq 2$. We identify a new term in
the Hamiltonian of the Bychkov-Rashba SOC which does not exist in III-V
semiconductors. Using first-principles calculations, we give estimates of the
various parameters appearing in the theory.
  Finally, we consider quantum dots (QDs) formed in TMDC materials and derive
an effective Hamiltonian which allows us to calculate the magnetic field
dependence of the bound states in the QDs. We find that all states are both
valley and spin split, which suggests that these QDs could be used as
valley-spin filters.
  We explore the possibility of using spin and valley states in TMDCs as
quantum bits, and conclude that, due to the relatively strong intrinsic
spin-orbit splitting in the conduction band, the most realistic option appears
to be a combined spin-valley (Kramers) qubit at low magnetic fields.


title:
Electromagnetic fluctuations and normal modes of a drifting relativistic
  plasma

abstract:
  We present an exact calculation of the power spectrum of the electromagnetic
fluctuations in a relativistic equilibrium plasma described by
Maxwell-J\"uttner distribution functions. We consider the cases of wave vectors
parallel or normal to the plasma mean velocity. The relative contributions of
the subluminal and supraluminal fluctuations are evaluated. Analytical
expressions of the spatial fluctuation spectra are derived in each case. These
theoretical results are compared to particle-in-cell simulations, showing a
good reproduction of the subluminal fluctuation spectra.


title: Nonlocal quantum memory effects in a correlated multimode field

abstract:
  We review the model of two qubits coupled locally to an environment which
consists of nonlocally correlated field modes [Phys. Rev.Lett. 108, 210402
(2012)]. We derive the correct expressions for the reduced dynamics of the
two-qubit system and demonstrate that strong nonlocal memory effects are indeed
present for suitable initial EPR-type Gaussian environmental states.


title:
Single-molecule-mediated heat current between an electronic and a
  bosonic bath

abstract:
  In molecular devices electronic degrees of freedom are coupled to vibrational
modes of the molecule, offering an opportunity to study fundamental aspects of
this coupling between at the nanoscale. To this end we consider the
nonequilibrium heat exchange between a conduction band and a bosonic bath
mediated by a single molecule. For molecules large enough so that on-site
interactions can be dropped we carry out an asymptotically exact calculation of
the heat current, governed by the smallness of the electron-phonon coupling,
and obtain the steady state heat current driven by a finite temperature drop.
At low temperatures the heat current is found to have a power-law behavior with
respect to the temperature difference with the power depending on the nature of
the bosonic bath. At high temperatures, on the other hand, the current is
linear in the temperature difference for all types of bosonic baths. The
crossover between these behaviors is described. Some of the results are given a
physical explanation by comparing to a perturbative Master equation calculation
(whose limitation we examine).


title:
A new technique to observe direct CP Violation in D mesons using Bose
  Symmetry and Dalitz Plot

abstract:
  We present a new and sensitive method to observe direct CP violation in $D$
mesons using Bose symmetry and Dalitz plot. We apply the method to processes
such as $B \to D^0\bar{D}^0 P$, where $P$ is either a $K$ or a $\pi$. By
choosing to reconstruct $D$ mesons only through their decays into CP
eigenstates, we show that any asymmetry in the Dalitz plot can arise only
through direct CP violation. We further show how CP violation parameters can be
determined. Since the approach involves only Bose symmetry, the method is
applicable to any multi-body process that involves $D^0\bar{D}^0$ in the final
state. We briefly discuss how $B\to D^* \bar{D}^* P$ can also be used in a
similar way.


title:
XPS on corrosion products of ZnCr coated steel: on the reliability of
  Ar+ ion depth profiling for multi component material analysis

abstract:
  X-ray photoelectron spectroscopy combined with Ar+ ion etching is a powerful
concept to identify different chemical states of compounds in depth profiles,
important for obtaining information underneath surfaces or at layer interfaces.
The possibility of occurring sputter damage is known but insufficiently
investigated for corrosion products of Zn-based steel coatings like ZnCr.
Hence, in this work reference materials are studied according to stability
against ion sputtering. Indeed some investigated compounds reveal a very
unstable chemical nature. On the basis of these findings the reliability of
depth profiles of real samples can be rated to avoid misinterpretations of
observed chemical species.


title:
Non-uniqueness results for entropy two-phase solutions of
  forward-backward parabolic problems with unstable phase

abstract:
  This paper study the well--posedness of the entropy formulation given by
Plotnikov in [{Differential Equations}, 30 (1994), pp. 614--622] for
forward-backward parabolic problem obtained as singular limit of a proper
pseudoparabolic approximation. It was proved in [C. Mascia, A. Terracina, and
A. Tesei, {Arch.\ Ration.\ Mech.\ Anal.}, 194 (2009), pp. 887--925] that such
formulation gives uniqueness when the solution takes values in the stable
phases. Here we consider the situation in which unstable phase is taken in
account, proving that, in general, uniqueness does not hold.


title:
Probing the local structural order of C60 thin films by their exciton
  transport characteristics

abstract:
  We investigate effects of the local structure on the excitonic transport in
C60 thin films by means of temperature-dependent photoluminescence quenching
studies in a range of 5 to 300 K. Exciton motion in the X-ray amorphous layers
indicates thermally activated transport initiated above 80 K accompanied by a
thermalization of excitations into low lying states within the excitonic
density of states. Discontinuities in the temperature-dependent
photoluminescence behavior can be attributed to a continuous phase transition
at 80 K and a first order phase transition at 180 K, thereby revealing
structural information on the local film morphology in the C60 films.


title:
Two-phase entropy solutions of forward-backward parabolic problems with
  unstable phase

abstract:
  This paper study the two--phase problem for the forward-backward parabolic
equation with diffusion function of cubic type. Existence and uniqueness for
these kind of problems were obtained in literature in the case in which the
phases are both stable. Here we consider the situation in which the unstable
phase is taken in account, obtaining not trivial solution of the problem. It is
interesting to note that such solutions are given by solving generalized Abel's
equations.


title: Optimal cooperative motion planning for vehicles at intersections

abstract:
  We consider the problem of cooperative intersection management. It arises in
automated transportation systems for people or goods but also in multi-robots
environment. Therefore many solutions have been proposed to avoid collisions.
The main problem is to determine collision-free but also deadlock-free and
optimal algorithms. Even with a simple definition of optimality, finding a
global optimum is a problem of high complexity, especially for open systems
involving a large and varying number of vehicles. This paper advocates the use
of a mathematical framework based on a decomposition of the problem into a
continuous optimization part and a scheduling problem. The paper emphasizes
connections between the usual notion of vehicle priority and an abstract
formulation of the scheduling problem in the coordination space. A constructive
locally optimal algorithm is proposed. More generally, this work opens up for
new computationally efficient cooperative motion planning algorithms.


title:
The gamma-ray bursts and core-collapse supernovae - global star forming
  rate peaks at large redshifts

abstract:
  This is a brief review on the first Gamma-Ray Bursts (GRB) optical
identifications - GRB host galaxies and Star Forming Rate (SFR) at relatively
small redshifts (z), on the metallicities of GRB hosts, the similarities and
differences between GRB hosts and galaxies at larger z, and on the SFR and GRB
rate (GRBR) at high z. Evidences of a direct connection between long-duration
GRBs and massive stars explosions (like Core-Collapse Super-Novae - CCSNe) are
presented. Is there a fast decrease in SFR up to z ~10? Some unsolved problems
related to GRBs are discussed: about the high-z GRB host galaxies, the high-z
CCSN-GRB connection, and possible new crucial cosmological tests at high z.


title: Exploring the origin of degenerate doublet bands in $^{106}$Ag

abstract:
  The electromagnetic transition probabilities of the excited levels for the
two nearly degenerate bands of $^{106}$Ag have been measured using the Doppler
Shift Attenuation Method. A comparison with the calculated values using
triaxial projected shell model approach indicates that these bands originate
from two different quasi-particle configurations but constructed from the same
mean-field deformation.


title:
Results on ultra-peripheral interactions in Pb-Pb and p-Pb collisions in
  ALICE

abstract:
  Ultra-relativistic heavy ions generate strong electromagnetic fields which
offer the possibility to study $\gamma$-nucleus and $\gamma$-proton
interactions at the LHC in the so called ultra-peripheral collisions (UPC).
  Here we report ALICE results on J/psi photoproduction measured in Pb-Pb
collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV and in p-Pb collisions at
$\sqrt{s_{\rm NN}}$ = 5.02 TeV.


title:
Cold beam of isotopically pure Yb atoms by deflection using 1D-optical
  molasses

abstract:
  We demonstrate generation of an isotopically pure beam of laser-cooled Yb
atoms by deflection using 1D-optical molasses. Atoms in a collimated thermal
beam are first slowed using a Zeeman Slower. They are then subjected to a pair
of molasses beams inclined at $45^\circ$ with respect to the slowed atomic
beam. The slowed atoms are deflected and probed at a distance of 160 mm. We
demonstrate selective deflection of the bosonic isotope $^{174}$Yb, and the
fermionic isotope $^{171}$Yb. Using a transient measurement after the molasses
beams are turned on, we find a longitudinal temperature of 41 mK.


title:
Blow-up for the wave equation with nonlinear source and boundary damping
  terms

abstract:
  The paper deals with blow--up for the solutions of wave equation with
nonlinear source and nonlinear boudary damping terms, posed in a bounded and
regular domain. The initial data are posed in the energy space. The aim of the
paper is to improve previous blow-up results concerning the problem.


title:
Viscosity gradient driven instability of `shear mode' in a strongly
  coupled plasma

abstract:
  The influence of viscosity gradient (due to shear flow) on low frequency
collective modes in strongly coupled dusty plasma is analyzed. It is shown that
for a well known viscoelastic plasma model, the velocity shear dependent
viscosity leads to an instability of the shear mode. The inhomogeneous viscous
force and velocity shear coupling supply the free energy for the instability.
The combined strength of shear flow and viscosity gradient wins over any
stabilizing force and makes the shear mode unstable. Implication of such a
novel instability and its applications are briefly outlined.


title: The H.E.S.S. Extragalactic Sky

abstract:
  More than fifty extragalactic very high energy (VHE; E>100 GeV) sources have
been found using ground-based imaging atmospheric Cherenkov telescopes, about
twenty of which have been discovered using the H.E.S.S. (High Energy
Stereoscopic System) experiment based in Namibia. Even though BL Lac objects
are the dominant class of VHE detected extragalactic objects, other types of
sources (starburst galaxies, radio galaxies or flat spectrum radio quasars)
begin to emerge. A review of the extragalactic sources studied with H.E.S.S. is
given, with an emphasis on new results.


title: The stable homotopy theory of vortices on Riemann surfaces

abstract:
  The purpose of these notes is to show that the methods introduced by Bauer
and Furuta in order to refine the Seiberg-Witten invariants of smooth
4-dimensional manifolds can also be used to obtain stable homotopy classes from
Riemann surfaces, using the vortex equations on the latter.


title:
Classification of Endomorphisms with an Annihilating Polynomial on
  Arbitrary Vector Spaces

abstract:
  The aim of this work is to offer a solution to the problem of the
classification of endomorphisms with an annihilating polynomial on arbitrary
vector spaces. For these endomorphisms we provide a family of invariants that
allows us to classify them when the group of automorphisms acts by conjugation.


title: Constraining the WDM Particle Mass with Milky Way Satellites

abstract:
  Well-motivated particle physics theories predict the existence of particles
(such as sterile neutrinos) which acquire non-negligible thermal velocities in
the early universe. These particles could behave as warm dark matter (WDM) and
generate a small-scale cutoff in the linear density power spectrum which scales
approximately inversely with the particle mass. If this mass is of order a keV,
the cutoff occurs on the scale of dwarf galaxies. Thus, in WDM models the
abundance of small galaxies, such as the satellites that orbit in the halo of
the Milky Way, depends on the mass of the warm particle. The abundance also
scales with the mass of the host galactic halo. We use the \galform
semi-analytic model of galaxy formation to calculate the properties of galaxies
in universes in which the dark matter is warm. Using this method, we can
compare the predicted satellite luminosity functions to the observed data for
the Milky Way dwarf spheroidals, and determine a lower bound on the thermally
produced WDM particle mass. This depends strongly on the value of the Milky Way
halo mass and, to some extent, on the baryonic physics assumed; we examine both
of these dependencies. For our fiducial model we find that for a particle mass
of 3.3 keV (the 2$\sigma$ lower limit found by Viel et al. from a recent
analysis of the Lyman-$\alpha$ forest) the Milky Way halo mass is required to
be $> 1.4 \times 10^{12}$ \msun. For this same fiducial model, we also find
that all WDM particle masses are ruled out (at 95% confidence) if the halo of
the Milky Way has a mass smaller than $1.1 \times 10^{12}$ \msun, while if the
mass of the Galactic halo is greater than 1.8 $\times 10^{12}$ \msun, only WDM
particle masses larger than 2 keV are allowed.


title:
Ferromagnetic Order Analysis of Fe- and FeO-modified
  Graphene-nano-ribbon

abstract:
  Graphene-nano-ribbon (GNR) is very attractive for ultra-high density
spintronics devices. For checking a capability of self-induced ferromagnetic
order, Fe- and FeO-modified GNR were analyzed based on the density functional
theory. Model unit cells were [C32H2Fe2] and [C32H2Fe2O2]. Calculated results
show the most stable spin state to be Sz=8/2 in [C32H2Fe2], whereas Sz=6/2 in
[C32H2Fe2O2]. Magnetic moment M of Fe in [C32H2Fe2] was 3.65{\mu}B, which could
be explained based on the Hund-rule considering donated charge to carbon to be
M*=3.67{\mu}B . There is a capability of ferromagnetic Fe spin array through an
interaction with carbon {\pi}-conjugated spin system. There shows a long-range
super-exchange order in [C32H2Fe2O2]. Optimized atomic configuration gave the
typical 90 degree super-exchange coupling between Fe-3d and O-2p orbit.
Magnetic moment of Fe by DFT was 2.58{\mu}B, whereas super-exchange model
considering donated charge to oxygen gave an estimated magnetic moment to be
2.60{\mu}B. Sign of magnetic moment of Fe and O are all up-spin each other. We
could expect ferromagnetic long-range-order. Band structure was analyzed in
FeO-modified case, which suggested half-metal like behavior. We can expect
several spintronics applications as like a spin filter.


title: Greedy Graph Colouring is a Misleading Heuristic

abstract:
  State of the art maximum clique algorithms use a greedy graph colouring as a
bound. We show that greedy graph colouring can be misleading, which has
implications for parallel branch and bound.


title: Shear Waves in an inhomogeneous strongly coupled dusty plasma

abstract:
  The properties of electrostatic transverse shear waves propagating in a
strongly coupled dusty plasma with an equilibrium density gradient are examined
using the generalized hydrodynamic equation. In the usual kinetic limit, the
resulting equation has similarity to zero energy Schrodinger's equation. This
has helped in obtaining some exact eigenmode solutions in both cartesian and
cylindrical geometries for certain nontrivial density profiles. The
corresponding velocity profiles and the discrete eigenfrequencies are obtained
for several interesting situations and their physics discussed.


title: Ambrosetti-Rabinowitz theorems revisited

abstract:
  We introduce tow assumptions weaker than the classical Ambrosetti-Rabinowitz
and the subcritical polynomial growth conditions to obtain the Palais-Smale
Condition. Therefore, we improve the Ambrosetti- Rabinowitz existence theorems.
Also, we prove some existence results under a weaken subcritical polynomial
growth conditions where the nonlinearity does not satisfy the super-quadratic
condition and even it does not have any limits at infinity.


title: Jeans Instability in a viscoelastic fluid

abstract:
  The well known Jeans instability is studied for a viscoelastic, gravitational
fluid using generalized hydrodynamic equations of motions. It is found that the
threshold for the onset of instability appears at higher wavelengths in a
viscoelastic medium. Elastic effects playing a role similar to thermal pressure
are found to lower the growth rate of the gravitational instability. Such
features may manifest themselves in matter constituting dense astrophysical
objects.


title:
$G_2$-QCD: Spectroscopy and the phase diagram at zero temperature and
  finite density

abstract:
  Due to the fermion sign problem, standard lattice Monte-Carlo method for QCD
fail at small temperatures and high baryon densities. $G_2$-QCD, QCD with the
gauge group $SU(3)$ replaced by the exceptional Lie group $G_2$, can be
simulated using lattice techniques at these densities, and can therefore
provide an illustration of the possible phase structure. Here we present a
systematic investigation of the ground-state hadronic spectrum using lattice
simulations for different quark masses in several hadronic sectors. We then
show that the different hadronic scales of Goldstone bosons, intermediate
bosons, and baryons is reflected in the phase structure at finite density.


title: Jet propagation and deceleration

abstract:
  Extragalactic jets in active galactic nuclei (AGN) are divided into two
morphological types, namely Fanaroff-Riley I (FRI) and Fanaroff-Riley II
(FRII). The former show decollimated structure at the kiloparsec scales and are
thought to be decelerated by entrainment within the first kiloparsecs of
evolution inside the host galaxy. The entrainment and deceleration can be, at
least partly, due to the interaction of jets with stellar winds and gas clouds
that enter in the jet as they orbit around the galactic centre. In this
contribution, I review recent simulations to study the dynamic effect of
entrainment from stellar winds in jets and the direct interaction of jets with
gas clouds and stellar winds. I also briefly describe the importance of these
interactions as a possible scenario of high-energy emission from extragalactic
jets.


title:
Constraints on the explosion mechanism and progenitors of type Ia
  supernovae

abstract:
  Observations of SN 2011fe at early times reveal an evolution analogous to a
fireball model of constant color. In contrast, our unmixed delayed detonations
of Chandrasekhar-mass white dwarfs (DDC series) exhibit a faster brightening
concomitant with a shift in color to the blue. In this paper, we study the
origin of these discrepancies. We find that strong chemical mixing largely
resolves the photometric mismatch at early times, but it leads to an enhanced
line broadening that contrasts, for example, with the markedly narrow SiII6355A
line of SN 2011fe. We also explore an alternative configuration with
pulsational-delayed detonations (PDDEL model series). Because of the pulsation,
PDDEL models retain more unburnt carbon, have little mass at high velocity, and
have a much hotter outer ejecta after the explosion. The pulsation does not
influence the inner ejecta, so PDDEL and DDC models exhibit similar radiative
properties beyond maximum. However, at early times, PDDEL models show bluer
optical colors and a higher luminosity, even for weak mixing. Their early-time
radiation is derived primarily from the initial shock-deposited energy in the
outer ejecta rather than radioactive decay heating. Furthermore, PDDEL models
show short-lived CII lines, reminiscent of SN 2013dy. They typically exhibit
lines that are weaker, narrower, and of near-constant width, reminiscent of SN
2011fe. In addition to multi-dimensional effects, varying configurations for
such ``pulsations" offer a source of spectral diversity amongst SNe Ia. PDDEL
and DDC models also provide one explanation for low- and high-velocity gradient
SNe Ia.


title: Nonlinear Shear Wave in a Non Newtonian Visco-elastic Medium

abstract:
  An analysis of nonlinear transverse shear wave has been carried out on
non-Newtonian viscoelastic liquid using generalized hydrodynamic(GH) model. The
nonlinear viscoelastic behavior is introduced through velocity shear dependence
of viscosity coefficient by well known Carreau -Bird model. The dynamical
feature of this shear wave leads to the celebrated Fermi-Pasta-Ulam (FPU)
problem. Numerical solution has been obtained which shows that initial periodic
solutions reoccur after passing through several patterns of periodic waves. A
possible explanation for this periodic solution is given by constructing
modified Korteweg de Vries (mKdV) equation. This model has application from
laboratory to astrophysical plasmas as well as biological systems.


title:
Wave packet dynamics and zitterbewegung of heavy holes in a quantizing
  magnetic field

abstract:
  In this work we study wave packet dynamics and $zitterbewegung$, an
oscillatory quantum motion, of heavy holes in III-V semiconductor quantum wells
in presence of a quantizing magnetic field. It is revealed that a Gaussian
wave-packet describing a heavy hole diffuses asymmetrically along the circular
orbit while performing cyclotron motion. The wave packet splits into two peaks
with unequal amplitudes after a certain time depending on spin-orbit coupling
constant. This unequal splitting of the wave packet is attributed to the cubic
Rashba interaction for heavy holes. The difference in the peak amplitudes
disappears with time. At a certain time the two peaks diffuse almost along the
entire cyclotron orbit. Then tail and head of the diffused wave packet
interfere and as a result a completely randomized pattern of the wave packet is
observed. The diffusion rate of the wave packet increases with increase of the
spin-orbit interaction strength. Also strong spin-orbit coupling expedite the
splitting and the randomization of the wave packet. We also study the
$zitterbewegung$ in various physical observables such as position, charge
current and spin angular momentum of the heavy hole. The $zitterbewegung$
oscillations are very much sensitive to the initial wave vector of the Gaussian
wave packet and the strength of the Rashba spin-orbit coupling.


title: [CoIII] versus NaID in type Ia supernova spectra

abstract:
  The high metal content and fast expansion of supernova (SN) Ia ejecta lead to
considerable line overlap in their optical spectra. Uncertainties in
composition and ionization further complicate the process of line
identification. In this paper, we focus on the 5900A emission feature seen in
SN Ia spectra after bolometric maximum, a line which in the last two decades
has been associated with [CoIII]5888A or NaID. Using non-LTE time-dependent
radiative-transfer calculations based on Chandrasekhar-mass delayed-detonation
models, we find that NaID line emission is extremely weak at all post-maximum
epochs. Instead, we predict the presence of [CoIII]5888A after maximum in all
our SN Ia models, which cover a range from 0.12 to 0.87Msun of 56Ni. We also
find that the [CoIII]5888A forbidden line is present within days of bolometric
maximum, and strengthens steadily for weeks thereafter. Both predictions are
confirmed by observations. Rather than trivial taxonomy, these findings confirm
that it is necessary to include forbidden-line transitions in
radiative-transfer simulations of SNe Ia, both to obtain the correct ejecta
cooling rate and to match observed optical spectra.


title:
Evolution of elliptic and triangular flow as a function of beam energy
  in a hybrid model

abstract:
  Elliptic flow has been one of the key observables for establishing the
finding of the quark-gluon plasma (QGP) at the highest energies of Relativistic
Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). As a sign of
collectively behaving matter, one would expect the elliptic flow to decrease at
lower beam energies, where the QGP is not produced. However, in the recent RHIC
beam energy scan, it has been found that the inclusive charged hadron elliptic
flow changes relatively little in magnitude in the energies between 7.7 and 39
GeV per nucleon-nucleon collision. We study the collision energy dependence of
the elliptic and triangular flow utilizing a Boltzmann + hydrodynamics hybrid
model. Such a hybrid model provides a natural framework for the transition from
high collision energies, where the hydrodynamical description is essential, to
smaller energies, where the hadron transport dominates. This approach is thus
suitable to investigate the relative importance of these two mechanisms for the
production of the collective flow at different values of beam energy. Extending
the examined range down to 5 GeV per nucleon-nucleon collision allows also
making predictions for the CBM experiment at FAIR.


title:
Various Scattering Properties of a New PT-symmetric non-Hermitian
  potential

abstract:
  We complexify a 1-d potential which exhibits bound, reflecting and free
states to study various properties of a non-Hermitian system. This potential
turns out a PT-symmetric non-Hermitian potential when one of the parameters
becomes imaginary. For one PT-symmetric case we have entire real bound state
spectrum. Explicit scattering states are constructed to show reciprocity at
certain discrete values of energy even though the potential is not parity
symmetric. Coexistence of deep energy minima of transmissivity with the
multiple spectral singularities (MSS) is observed. We further show that this
potential becomes invisible from left (or right) at certain discrete energies.
The penetrating states in the other PT-symmetric configuration are always
reciprocal even though it is PT-invariant and no spectral singularity (SS) is
present in this case. Presence of MSS and reflectionlessness are also discussed
for the free states in the later case.


title: Quasi-convexity of hyperbolically embedded subgroups

abstract:
  We show that any infinite order element $g$ of a virtually cyclic
hyperbolically embedded subgroup of a group $G$ is Morse, that is to say any
quasi-geodesic connecting points in the cyclic group $C$ generated by $g$ stays
close to $C$. This answers a question of Dahmani-Guirardel-Osin. What is more,
we show that hyperbolically embedded subgroups are quasi-convex.
  Finally, we give a definition of what it means for a collection of subspaces
of a metric space to be hyperbolically embedded and we show that axes of
pseudo-Anosovs are hyperbolically embedded in Teichm\"uller space endowed with
the Weil-Petersson metric.


title: Shear Flow instability in a strongly coupled dusty plasma

abstract:
  Linear stability analysis of strongly coupled incompressible dusty plasma in
presence of shear flow has been carried out using Generalized
Hydrodynamical(GH) model. With the proper Galilean invariant GH model, a
nonlocal eigenvalue analysis has been done using different velocity profiles.
It is shown that the effect of elasticity enhances the growth rate of shear
flow driven Kelvin- Helmholtz (KH) instability. The interplay between viscosity
and elasticity not only enhances the growth rate but the spatial domain of the
instability is also widened. The growth rate in various parameter space and the
corresponding eigen functions are presented.


title:
Observation of the Stimulated Coherent Diffraction Radiation in an Open
  Resonator at LUCX Facility

abstract:
  We present an initial test of a new type of a pre-bunched beam pumped free
electron maser based on Stimulated Coherent Diffraction Radiation (SCDR)
generated in an open resonator. An ultra-fast Schottky Barrier Diode (time
response $<1\,$ns) has enabled to investigate the properties of the radiation
stored in the cavity as well as the intrinsic properties of the cavity itself.
We observed a turn-by-turn SCDR generated by a multibunch beam. When the cavity
length was exactly a half of the bunch spacing a clear resonance was observed.
Moreover, turn-by-turn measurements revealed the cavity quality factor of
$72.88$, which was rather high for an open resonator in the wavelength range of
$3-5\,$mm. An exponential growth of the photon intensity as a function of the
number of bunches was also demonstrated.


title:
Ellerman Bombs - Evidence for Magnetic Reconnection in the Lower Solar
  Atmosphere

abstract:
  The presence of photospheric magnetic reconnection has long been thought to
give rise to short and impulsive events, such as Ellerman bombs (EBs) and Type
II spicules. In this article, we combine high-resolution, high-cadence
observations from the Interferometric BIdimensional Spectrometer (IBIS) and
Rapid Oscillations in the Solar Atmosphere (ROSA) instruments at the Dunn Solar
Telescope, National Solar Observatory, New Mexico with co-aligned Atmospheric
Imaging Assembly (SDO/AIA) and Solar Optical Telescope (Hinode/SOT) data to
observe small-scale events situated within an active region. These data are
then compared with state-of-the-art numerical simulations of the lower
atmosphere made using the MURaM code. It is found that brightenings, in both
the observations and the simulations, of the wings of the H alpha line profile,
interpreted as EBs, are often spatially correlated with increases in the
intensity of the FeI 6302.5A line core. Bi-polar regions inferred from
Hinode/SOT magnetic field data show evidence of flux cancellation associated,
co-spatially, with these EBs, suggesting magnetic reconnection could be a
driver of these high-energy events. Through the analysis of similar events in
the simulated lower atmosphere, we are able to infer that line profiles
analogous to the observations occur co-spatially with regions of strong
opposite polarity magnetic flux. These observed events and their simulated
counterparts are interpreted as evidence of photospheric magnetic reconnection
at scales observable using current observational instrumentation.


title: Many body population trapping in ultracold dipolar gases

abstract:
  A system of interacting dipoles is of paramount importance for understanding
of many-body physics. The interaction between dipoles is {\it anisotropic} and
{\it long-range}. While the former allows to observe rich effects due to
different geometries of the system, long-range ($1/r^3$) interactions lead to
strong correlations between dipoles and frustration. In effect, interacting
dipoles in a lattice form a paradigmatic system with strong correlations and
exotic properties with possible applications in quantum information
technologies, and as quantum simulators of condensed matter physics, material
science, etc. Notably, such a system is extremely difficult to model due to a
proliferation of interaction induced multi-band excitations for sufficiently
strong dipole-dipole interactions. In this article we develop a consistent
theoretical model of interacting polar molecules in a lattice by applying the
concepts and ideas of ionization theory which allows us to include highly
excited Bloch bands. Additionally, by involving concepts from quantum optics
(population trapping), we show that one can induce frustration and engineer
exotic states, such as Majumdar-Ghosh state, or vector-chiral states in such a
system.


title: Kelvin-Helmholtz Instability in non-Newtonian Complex Plasma

abstract:
  The Kelvin-Helmholtz (KH) instability is studied in a non-Newtonian dusty
plasma with an experimentally verified model [Phys. Rev. Lett. {\bf 98}, 145003
(2007)] of shear flow rate dependent viscosity. The shear flow profile used
here is a parabolic type bounded flow. Both the shear thinning and shear
thickening properties are investigated in compressible as well as
incompressible limits using a linear stability analysis. Like the stabilizing
effect of compressibility on the KH instability, the non-Newtonian effect in
shear thickening regime could also suppress the instability but on the
contrary, shear thinning property enhances it. A detailed study is reported on
the role of non-Newtonian effect on KH instability with conventional dust fluid
equations using standard eigenvalue analysis.


title: On the possible volume of $\mu$-$(v,k,t)$ trades

abstract:
  A $\mu$-way $(v,k,t)$ $trade$ of volume $m$ consists of $\mu$ disjoint
collections $T_1$, $T_2, \dots T_{\mu}$, each of $m$ blocks, such that for
every $t$-subset of $v$-set $V$ the number of blocks containing this t-subset
is the same in each $T_i\ (1\leq i\leq \mu)$. In other words any pair of
collections $\{T_i,T_j\}$, $1\leq i<j \leq \mu$ is a $(v,k,t)$ trade of volume
$m$.
  In this paper we investigate the existence of $\mu$-way $(v,k,t)$ trades and
also we prove the existence of: (i)~3-way $(v,k,1)$ trades (Steiner trades) of
each volume $m,m\geq2$. (ii) 3-way $(v,k,2)$ trades of each volume $m,m\geq6$
except possibly $m=7$. We establish the non-existence of 3-way $(v,3,2)$ trade
of volume 7. It is shown that the volume of a 3-way $(v,k,2)$ Steiner trade is
at least $2k$ for $k\geq4$. Also the spectrum of 3-way $(v,k,2)$ Steiner trades
for $k=3$ and 4 are specified.


title: Conceptional Design of the Laser Ion Source based Hadrontherapy Facility

abstract:
  Laser ion source (LIS), which can provide carbon beam with highly stripped
state (C6+) and high intensity (several tens mA), would significantly change
the overall design of the hadrontherapy facility. A LIS based hadrontherapy
facility is proposed with the advantage of short linac length, simple injection
scheme and small synchrotron size. With the experience from the DPIS and HITFiL
project that had conducted in IMP, a conceptional design of the LIS based
hadrontherapy facility will be present with special dedication to APF type IH
DTL design and simulation.


title: Natural Light Harvesting Systems: Unraveling the quantum puzzles

abstract:
  In natural light harvesting systems, the sequential quantum events of photon
absorption by specialized biological antenna complexes, charge separation,
exciton formation and energy transfer to localized reaction centers culminates
in the conversion of solar to chemical energy. A notable feature in these
processes is the exceptionally high efficiencies ($>$ 95\%) at which excitation
is transferred from the illuminated protein complex site to the reaction
centers. The high speeds of excitation propagation within a system of
interwoven biomolecular network structures, is yet to be replicated in
artificial light harvesting complexes. A clue to unraveling the quantum puzzles
of nature may lie in the observations of long lived coherences lasting several
picoseconds in the electronic spectra of photosynthetic complexes which occurs
even in noisy environmental baths. The exact nature of the association between
the high energy propagation rates and strength of quantum coherences remains
largely unsolved. This review presents recent developments in quantum theories,
and links information-theoretic aspects with photosynthetic light-harvesting
processes in biomolecular systems. There is examination of various attempts to
pinpoint the processes that underpin coherence features arising from the light
harvesting activities of biomolecular systems, with particular emphasis on the
effects that factors such non-Markovianity, zeno mechanisms, teleportation,
quantum predictability and the role of multipartite states have on the quantum
dynamics of biomolecular systems. A discussion of how quantum thermodynamical
principles and agent-based modeling and simulation approaches can improve our
understanding of natural photosynthetic systems is included.


title: A gaseous stripper proposal based on hadrontherapy facility HIMM

abstract:
  Multi-turn Injection scheme with gaseous stripper is usually used in high
intensity and super heavy ion injection process. With its advantage of long
lifetime and uniformity, a gaseous stripper is proposed based on the under
construction hadrontherapy facility HIMM (Heavy Ion Medical Machine). In this
paper, the physical process between the injecting beam and the gaseous target
is studied, and a simulation work is conducted based on the former developed
code.


title: Heavy quark impact factor for the LHC phenomenology

abstract:
  We comment on the calculation of the finite part of the heavy quark impact
factor at next-to-leading logarithmic (NLx) accuracy. The result is presented
in a form suitable for phenomenological studies such as the calculation of the
cross-section for single heavy quark production at the LHC within the
kT-factorization scheme.


title:
A system of beam energy measurement based on the Compton backscattered
  laser photons for the VEPP-2000 electron-positron collider

abstract:
  The beam energy measurement system for the VEPP-2000 electron-positron
collider is described. The method of Compton backscattering of $CO$ laser
photons on the electron beam is used. The relative systematic uncertainty of
the beam energy determination is estimated as 6\cdot10^{-5}. It was obtained
through comparison of the results of the beam energy measurements using the
Compton backscattering and resonance depolarization methods.


title: Operation and coupling of LH waves with the ITER-like wall at JET

abstract:
  In this paper important aspects of Lower Hybrid (LH) operation with the ITER
Like Wall (ILW) [1] at JET are reported. Impurity release during LH operation
was investigated and it was found that there is no significant Be increase with
LH power. Concentration of W was analysed in more detail and it was concluded
that LH contributes negligibly to its increase. No cases of W accumulation in
LH-only heating experiments were observed so far. LH wave coupling was studied
and optimised to achieve the level of system performance similar to before ILW
installation. Measurements by Li-beam were used to study systematic
dependencies of the SOL density on the gas injection rate from a dedicated gas
introduction module and the LH power and launcher position. Experimental
results are supported by SOL transport modelling. Observations of arcs in front
of the LH launcher and hotspots on magnetically connected sections of the
vessel are reported. Overall, a relatively troublefree operation of the LH
system up to 2.5MW of coupled Radio Frequency (RF) power in L-mode plasma was
achieved with no indication that the power cannot be increased further.


title: A Constructive Quantum Lov\'asz Local Lemma for Commuting Projectors

abstract:
  The Quantum Satisfiability problem generalizes the Boolean satisfiability
problem to the quantum setting by replacing classical clauses with local
projectors. The Quantum Lov\'asz Local Lemma gives a sufficient condition for a
Quantum Satisfiability problem to be satisfiable [AKS12], by generalizing the
classical Lov\'asz Local Lemma.
  The next natural question that arises is: can a satisfying quantum state be
efficiently found, when these conditions hold? In this work we present such an
algorithm, with the additional requirement that all the projectors commute. The
proof follows the information theoretic proof given by Moser's breakthrough
result in the classical setting [Mos09].
  Similar results were independently published in [CS11,CSV13].


title: The real spectrum of the imaginary cubic oscillator: An expository proof

abstract:
  We give a partially alternate proof of the reality of the spectrum of the
imaginary cubic oscillator in quantum mechanics.


title: Multipartite quantum correlations in even and odd spin coherent states

abstract:
  The key ingredient of the approach, presented in this paper, is the
factorization property of $SU(2)$ coherent states upon splitting or decay of a
quantum spin system. In this picture, the even and odd spin coherent states are
viewed as comprising two, three or more spin subsystems. From this perspective,
we investigate the multipartite quantum correlations defined as the sum of the
correlations of all possible bi-partitions. The pairwise quantum correlations
are quantified by entanglement of formation and quantum discord. A special
attention is devoted to tripartite splitting schemes. We explicitly derive the
sum of entanglement of formation for all possible bi-partitions. It coincides
with the sum of all possible pairwise quantum discord. The conservation
relation between the distribution of entanglement of formation and quantum
discord, in the tripartite splitting scheme, is discussed. We show that the
entanglement of formation and quantum discord possess the monogamy property for
even spin coherent states, contrarily to odd ones which violate the monogamy
relation when the the overlap of the coherent states approaches the unity.


title: Temporal stability in human interaction networks

abstract:
  This paper reports on stable (or invariant) properties of human interaction
networks, with benchmarks derived from public email lists. Activity, recognized
through messages sent, along time and topology were observed in snapshots in a
timeline, and at different scales. Our analysis shows that activity is
practically the same for all networks across timescales ranging from seconds to
months. The principal components of the participants in the topological metrics
space remain practically unchanged as different sets of messages are
considered. The activity of participants follows the expected scale-free trace,
thus yielding the hub, intermediary and peripheral classes of vertices by
comparison against the Erd\"os-R\'enyi model. The relative sizes of these three
sectors are essentially the same for all email lists and the same along time.
Typically, $<15\%$ of the vertices are hubs, 15-45\% are intermediary and
$>45\%$ are peripheral vertices. Similar results for the distribution of
participants in the three sectors and for the relative importance of the
topological metrics were obtained for 12 additional networks from Facebook,
Twitter and ParticipaBR. These properties are consistent with the literature
and may be general for human interaction networks, which has important
implications for establishing a typology of participants based on quantitative
criteria.


title:
Moment asymptotics for multitype branching random walks in random
  environment

abstract:
  We study a discrete time multitype branching random walk on a finite space
with finite set of types. Particles follow a Markov chain on the spatial space
whereas offspring distributions are given by a random field that is fixed
throughout the evolution of the particles. Our main interest lies in the
averaged (annealed) expectation of the population size, and its long-time
asymptotics. We first derive, for fixed time, a formula for the expected
population size with fixed offspring distributions, which is reminiscent of a
Feynman-Kac formula. We choose Weibull-type distributions with parameter
$1/\rho_{ij}$ for the upper tail of the mean number of $j$ type particles
produced by an $i$ type particle. We derive the first two terms of the
long-time asymptotics, which are written as two coupled variational formulas,
and interpret them in terms of the typical behavior of the system.


title:
Uniqueness and long time asymptotic for the Keller-Segel equation: The
  parabolic-elliptic case

abstract:
  The present paper deals with the parabolic-elliptic Keller-Segel equation in
the plane in the general framework of weak (or ''free energy") solutions
associated to initial datum with finite mass $M$, finite second moment and
finite entropy. The aim of the paper is threefold: (1) We prove the uniqueness
of the ''free energy" solution on the maximal interval of existence $[0,T^*)$
with $T^*=\infty$ in the case when $M\le8\pi$ and $T^*< \infty$ in the case
when $M> 8\pi$. The proof uses a DiPerna-Lions renormalizing argument which
makes possible to get the ''optimal regularity" as well as an estimate of the
difference of two possible solutions in the critical $L^{4/3}$ Lebesgue norm
similarly as for the $2d$ vorticity Navier-Stokes equation. (2) We prove
immediate smoothing effect and, in the case $M < 8\pi$, we prove Sobolev norm
bound uniformly in time for the rescaled solution (corresponding to the
self-similar variables). (3) In the case $M < 8\pi$, we also prove weighted
$L^{4/3}$ linearized stability of the self-similar profile and then universal
optimal rate of convergence of the solution to the self-similar profile. The
proof is mainly based on an argument of enlargement of the functional space for
semigroup spectral gap.


title: The Structure and Local Variations of the Graphene Moir\'e on Ir(111)

abstract:
  We have studied the incommensurate moir\'e structure of epitaxial graphene
grown on iridium(111) by dynamic low energy electron diffraction [LEED-I(V)]
and non-contact atomic force microscopy (AFM) with a CO terminated tip. Our
LEED-I(V) results yield the average positions of all the atoms in the surface
unit cell and are in qualitative agreement with the structure obtained from
density functional theory (DFT). The AFM experiments reveal local variations of
the moir\'e structure: the corrugation varies smoothly over several moir\'e
unit cells between 42 and 56 pm. We attribute these variations to the varying
registry between the moir\'e symmetry sites and the underlying substrate. We
also observe isolated outliers, where the moir\'e top sites can be offset by an
additional 10 pm. This study demonstrates that AFM imaging can be used to
directly yield the local surface topography with pm accuracy even on
incommensurate 2D structures with varying chemical reactivity.


title: Spectral analysis of semigroups and growth-fragmentation equations

abstract:
  The aim of this paper is twofold: (1) On the one hand, the paper revisits the
spectral analysis of semigroups in a general Banach space setting. It presents
some new and more general versions, and provides comprehensible proofs, of
classical results such as the spectral mapping theorem, some (quantified)
Weyl's Theorems and the Krein-Rutman Theorem. Motivated by evolution PDE
applications, the results apply to a wide and natural class of generators which
split as a dissipative part plus a more regular part, without assuming any
symmetric structure on the operators nor Hilbert structure on the space, and
give some growth estimates and spectral gap estimates for the associated
semigroup. The approach relies on some factorization and summation arguments
reminiscent of the Dyson-Phillips series in the spirit of those used in
[87,82,48,81]. (2) On the other hand, we present the semigroup spectral
analysis for three important classes of "growth-fragmentation" equations,
namely the cell division equation, the self-similar fragmentation equation and
the McKendrick-Von Foerster age structured population equation. By showing that
these models lie in the class of equations for which our general semigroup
analysis theory applies, we prove the exponential rate of convergence of the
solutions to the associated remarkable profile for a very large and natural
class of fragmentation rates. Our results generalize similar estimates obtained
in \cite{MR2114128,MR2536450} for the cell division model with (almost)
constant total fragmentation rate and in \cite{MR2832638,MR2821681} for the
self-similar fragmentation equation and the cell division equation restricted
to smooth and positive fragmentation rate and total fragmentation rate which
does not increase more rapidly than quadratically. It also improves the
convergence results without rate obtained in \cite{MR2162224,MR2114413} which
have been established under similar assumptions to those made in the present
work.


title: Ghost: A Uniform and General-Purpose Proxy Implementation

abstract:
  A proxy object is a surrogate or placeholder that controls access to another
target object. Proxy objects are a widely used solution for different scenarios
such as remote method invocation, future objects, behavioral reflection, object
databases, inter-languages communications and bindings, access control, lazy or
parallel evaluation, security, among others. Most proxy implementations support
proxies for regular objects but are unable to create proxies for objects with
an important role in the runtime infrastructure such as classes or methods.
Proxies can be complex to install, they can have a significant overhead, they
can be limited to certain kind of classes, etc. Moreover, proxy implementations
are often not stratified and they do not have a clear separation between
proxies (the objects intercepting messages) and handlers (the objects handling
interceptions). In this paper, we present Ghost: a uniform and general-purpose
proxy implementation for the Pharo programming language. Ghost provides low
memory consuming proxies for regular objects as well as for classes and
methods. When a proxy takes the place of a class, it intercepts both the
messages received by the class and the lookup of methods for messages received
by its instances. Similarly, if a proxy takes the place of a method, then the
method execution is intercepted too.


title: The glassy phase of complex branching Brownian motion

abstract:
  In this paper, we study complex valued branching Brownian motion in the
so-called glassy phase, or also called phase II. In this context, we prove a
limit theorem for the complex partition function hence confirming a conjecture
formulated by Lacoin and the last two authors in a previous paper on complex
Gaussian multiplicative chaos. We will show that the limiting partition
function can be expressed as a product of a Gaussian random variable, mainly
due to the windings of the phase, and a stable transform of the so called
derivative martingale, mainly due to the clustering of the modulus. The proof
relies on the fine description of the extremal process available in the
branching Brownian motion context.


title: Quantum correlations dynamics of quasi-Bell cat states

abstract:
  A model of dynamics of quantum correlations of two modes quasi-Bell cat
states, based on Glauber coherent states, is considered. The analytic
expressions of pairwise entanglement of formation, quantum discord and its
geometrized variant are explicitly derived. We analyze the distribution of
quantum correlations between the two modes and the environment. We show that,
in contrast with squared concurrence, entanglement of formation, quantum
discord and geometric quantum discord do not follow the property of monogamy
except in some particular situations that we discuss.


title:
Theory of Antiferromagnetic Order in High-Tc Oxides: An Approach Based
  on Ginzburg-Landau Expansion

abstract:
  The mean-field phase diagram of antiferromagnetic order in t-J model has been
examined, using the free energy obtained by Ginzburg-Landau (GL) expansion. We
extended the usual GL theory in two ways: First, we have included higher order
terms with respect to the spatial derivative (or wave number) to incorporate
the incommensurate antiferromagnetic order. Second, we have also included
higher order terms with respect to the order parameter amplitude, in order to
treat the first order phase transition between paramagnetic and
antiferromagnetic phase, which appears at some doping rates. We found the
possibility of tricritical point and critical endpoint in the magnetic phase
diagram of the high-Tc oxides associated with the commensurate and
incommensurate antiferromagnetic order. The possible effects of thermal
fluctuations and randomness (spin glass) are also discussed qualitatively based
on the GL free energy.


title:
The colour adjoint static potential from Wilson loops with generator
  insertions and its physical interpretation

abstract:
  We discuss the non-perturbative computation and interpretation of a colour
adjoint static potential based on Wilson loops with generator insertions.
Numerical lattice results for SU(2) gauge theory are presented and compared to
corresponding perturbative results.


title: A note on Gorenstein monomial curves

abstract:
  Let $k$ be an arbitrary field. In this note, we show that if a sequence of
relatively prime positive integers ${\bf a}=(a_1,a_2,a_3,a_4)$ defines a
Gorenstein non complete intersection monomial curve ${\mathcal C}({\bf a})$ in
${\mathbb A}_k^4$, then there exist two vectors ${\bf u}$ and ${\bf v}$ such
that ${\mathcal C}({\bf a}+t{\bf u})$ and ${\mathcal C}({\bf a}+t{\bf v})$ are
also Gorenstein non complete intersection affine monomial curves for almost all
$t\geq 0$.


title: The Information Geometry of Mirror Descent

abstract:
  Information geometry applies concepts in differential geometry to probability
and statistics and is especially useful for parameter estimation in exponential
families where parameters are known to lie on a Riemannian manifold.
Connections between the geometric properties of the induced manifold and
statistical properties of the estimation problem are well-established. However
developing first-order methods that scale to larger problems has been less of a
focus in the information geometry community. The best known algorithm that
incorporates manifold structure is the second-order natural gradient descent
algorithm introduced by Amari. On the other hand, stochastic approximation
methods have led to the development of first-order methods for optimizing noisy
objective functions. A recent generalization of the Robbins-Monro algorithm
known as mirror descent, developed by Nemirovski and Yudin is a first order
method that induces non-Euclidean geometries. However current analysis of
mirror descent does not precisely characterize the induced non-Euclidean
geometry nor does it consider performance in terms of statistical relative
efficiency. In this paper, we prove that mirror descent induced by Bregman
divergences is equivalent to the natural gradient descent algorithm on the dual
Riemannian manifold. Using this equivalence, it follows that (1) mirror descent
is the steepest descent direction along the Riemannian manifold of the
exponential family; (2) mirror descent with log-likelihood loss applied to
parameter estimation in exponential families asymptotically achieves the
classical Cram\'er-Rao lower bound and (3) natural gradient descent for
manifolds corresponding to exponential families can be implemented as a
first-order method through mirror descent.


title:
A new multidimensional slow continued fraction algorithm and stepped
  surface

abstract:
  We give a new algorithm of slow continued fraction expansion related to any
real cubic number field as a 2-dimensional version of the Farey map. Using our
algorithm, we can find the generators of dual substitutions (so-called tiling
substitutions) for any stepped surface for any cubic direction.


title:
Individual Biases, Cultural Evolution, and the Statistical Nature of
  Language Universals: The Case of Colour Naming Systems

abstract:
  Language universals have long been attributed to an innate Universal Grammar.
An alternative explanation states that linguistic universals emerged
independently in every language in response to shared cognitive or perceptual
biases. A computational model has recently shown how this could be the case,
focusing on the paradigmatic example of the universal properties of colour
naming patterns, and producing results in quantitative agreement with the
experimental data. Here we investigate the role of an individual perceptual
bias in the framework of the model. We study how, and to what extent, the
structure of the bias influences the corresponding linguistic universal
patterns. We show that the cultural history of a group of speakers introduces
population-specific constraints that act against the pressure for uniformity
arising from the individual bias, and we clarify the interplay between these
two forces.


title:
Fabrication of single-walled carbon nanotube/Si heterojunction solar
  cell with high photovoltaic conversion efficiency and stability

abstract:
  The photovoltaic properties of carbon nanotube/Si heterojunction solar cells
were investigated using network films of high quality single-walled carbon
nanotubes (SWNTs) grown by atmospheric-pressure floating-catalyst chemical
vapor deposition. Because of the optimization of the device window size and the
utilization of SWNT thin films with both low resistivity and high transparency,
a high photovoltaic conversion efficiency of greater than 12% was achieved for
SWNTs/Si heterojunction solar cells without any post processing, such as
carrier doping treatment. In addition, the high stability and reproducibility
of the photovoltaic performance of these devices in air was demonstrated.


title: "Hiccup" accretion in the swinging pulsar IGR J18245-2452

abstract:
  IGR J18245-2452 is the fifteenth discovered accreting millisecond X-ray
pulsar and the first source of this class showing direct evidence for
transition between accretion and rotational powered emission states. These
swing provided the strongest confirmation of the pulsar recycling scenario
available so far. During the two XMM-Newton observations that were carried out
while the source was in outburst in April 2013, IGR J18245-2452 displayed a
unique and peculiar variability of its X-ray emission. In this work, we report
on a detailed analysis of the XMM- Newton data and focus in particular on the
timing and spectral variability of the source. IGR J18245-2452 continuously
switches between lower and higher intensity states, with typical variations in
flux up to a factor of about 500 in time scales as short as few seconds. These
variations in the source intensity are sometimes associated to a dramatic
spectral hardening, during which the power-law photon index of the source
changes from Gamma=1.7 to Gamma=0.9. The pulse profiles extracted at different
count rates and energies show a complex variability. These phenomena are not
usually observed in accreting millisecond X-ray pulsars, at least not on such a
short time scale. Fast variability was also found in the ATCA radio
observations carried out for about 6 hours during the outburst at a frequency
of 5.5 and 9 GHz. We interpret the variability observed from IGR J18245-2452 in
terms of a "hiccup" accretion phase, during which the accretion of material
from the inner boundary of the Keplerian disk is reduced by the onset of
centrifugal inhibition of accretion, possibly causing the launch of strong
outflows. Changes across accretion and propeller regimes have been long
predicted and reproduced by MHD simulations of accreting millisecond X-ray
pulsars but never observed to produce an extreme variability as that shown by
IGR J18245-2452.


title: 1/2-Laplacian problems with exponential nonlinearity

abstract:
  By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev
spaces, we obtain existence and multiplicity of solutions for a class of
one-dimensional nonlocal equations with fractional diffusion and nonlinearity
at exponential growth.


title: Group field theory as the 2nd quantization of Loop Quantum Gravity

abstract:
  We construct a 2nd quantized reformulation of canonical Loop Quantum Gravity
at both kinematical and dynamical level, in terms of a Fock space of spin
networks, and show in full generality that it leads directly to the Group Field
Theory formalism. In particular, we show the correspondence between canonical
LQG dynamics and GFT dynamics leading to a specific GFT model from any
definition of quantum canonical dynamics of spin networks. We exemplify the
correspondence of dynamics in the specific example of 3d quantum gravity. The
correspondence between canonical LQG and covariant spin foam models is obtained
via the GFT definition of the latter.