title:
Network Entropy measures applied to different systemic perturbations of
  cell basal state

abstract:
  We characterize different cell states, related to cancer and ageing
phenotypes, by a measure of entropy of network ensembles, integrating gene
expression values and protein interaction networks. The entropy measure
estimates the parameter space available to the network ensemble, that can be
interpreted as the level of plasticity of the system for high entropy values
(the ability to change its internal parameters, e.g. in response to
environmental stimuli), or as a fine tuning of the parameters (that restricts
the range of possible parameter values) in the opposite case. This approach can
be applied at different scales, from whole cell to single biological functions,
by defining appropriate subnetworks based on a priori biological knowledge,
thus allowing a deeper understanding of the cell processes involved. In our
analysis we used specific network features (degree sequence, subnetwork
structure and distance between gene profiles) to obtain informations at
different biological scales, providing a novel point of view for the
integration of experimental transcriptomic data and a priori biological
knowledge, but the entropy measure can also highlight other aspects of the
biological systems studied depending on the constraints introduced in the model
(e.g. community structures).


title: Lattice scars: Surviving in an open discrete billiard

abstract:
  We study quantum systems on a discrete bounded lattice (lattice billiards).
The statistical properties of their spectra show universal features related to
the regular or chaotic character of their classical continuum counterparts.
However, the decay dynamics of the open systems appear very different from the
continuum case, their properties being dominated by the states in the band
center. We identify a class of states ("lattice scars") that survive for
infinite times in dissipative systems and that are degenerate at the center of
the band. We provide analytical arguments for their existence in any bipartite
lattice, and give a formula to determine their number. These states should be
relevant to quantum transport in discrete systems, and we discuss how to
observe them using photonic waveguides, cold atoms in optical lattices, and
quantum circuits.

categories: cond-mat.mes-hall cond-mat.quant-gas nlin.CD quant-ph


title: Cascading Walks Model for Human Mobility Patterns

abstract:
  Uncovering the mechanism behind the scaling law in human trajectories is of
fundamental significance in understanding many spatio-temporal phenomena. In
combination of the exploration and the preferential returns, we propose a
simple dynamical model mainly based on the cascading processes to capture the
human mobility patterns. By the numerical simulations and analytical studies,
we show more than five statistical characters that are well consistent with the
empirical observations, including several type of scaling anomalies, and the
ultraslow diffusion property, implying the cascading processes associated with
the other two mechanisms are indeed a key in the understanding of human
mobility activities. Moreover, both of the diverse individual mobility and
aggregated scaling move-lengths, bridging the micro and macro patterns in human
mobility. Our model provides deeper understandings on the emergence of human
mobility patterns.


title: Hypergraph Tur\'an numbers of vertex disjoint cycles

abstract:
  The Tur\'an number of a $k$-uniform hypergraph $H$, denoted by
$e{x_k}\left({n;H} \right)$, is the maximum number of edges in any $k$-uniform
hypergraph $F$ on $n$ vertices which does not contain $H$ as a subgraph. Let
$\mathcal{C}_{\ell}^{\left(k \right)}$ denote the family of all $k$-uniform
minimal cycles of length $\ell$, $\mathcal{S}(\ell_1,\ldots,\ell_r)$ denote the
family of hypergraphs consisting of unions of $r$ vertex disjoint minimal
cycles of length $\ell_1,\ldots,\ell_r$, respectively, and
$\mathbb{C}_{\ell}^{\left(k \right)}$ denote a $k$-uniform linear cycle of
length $\ell$. We determine precisely
$e{x_k}\left({n;\mathcal{S}(\ell_1,\ldots,\ell_r)} \right)$ and
$e{x_k}\left({n;\mathbb{C}_{{\ell_1}}^{\left(k \right)}, \ldots,
\mathbb{C}_{{\ell_r}}^{\left(k \right)}} \right)$ for sufficiently large $n$.
The results extend recent results of F\"{u}redi and Jiang who determined the
Tur\'an numbers for single $k$-uniform minimal cycles and linear cycles.


title: Mathematical Analysis of Money in the Scope of Austerity

abstract:
  This summarizes the study of the financial and economic crisis in Europe. The
starting questions were: 1) Why do we have a crisis? Unde venis? 2) What will
be the outcome? Quo vadis? Here is the reasoning which touches many areas,
ranging from financial to politics and from psychology and economy.


title: Collective transport in the discrete Frenkel-Kontorova model

abstract:
  Through multiscale analysis of the adjoint Fokker-Planck equation, strict
bounds are derived for the center of mass diffusivity of an overdamped harmonic
chain in a periodic potential, often known as the discrete Frenkel-Kontorova
model. Significantly, it is shown that the free energy barrier is a lower bound
to the true finite temperature migration barrier for this general and popular
system. Numerical simulation confirms the analysis, whilst effective migration
potentials implied by the bounds are employed to give a surprisingly accurate
prediction of the non-linear response.


title: Non-supramenable groups acting on locally compact spaces

abstract:
  Supramenability of groups is characterised in terms of invariant measures on
locally compact spaces. This opens the door to constructing interesting crossed
product C*-algebras for non-supramenable groups. In particular, stable
Kirchberg algebras in the UCT class are constructed using crossed products for
both amenable and non-amenable groups.


title: Approximate Sum-Capacity of the Y-channel

abstract:
  A network where three users want to establish multiple unicasts between each
other via a relay is considered. This network is called the Y-channel and
resembles an elemental ingredient of future wireless networks. The sum-capacity
of this network is studied. A characterization of the sum-capacity within an
additive gap of 2 bits, and a multiplicative gap of 4, for all values of
channel gains and transmit powers is obtained. Contrary to similar setups where
the cut-set bounds can be achieved within a constant gap, they can not be
achieved in our case, where they are dominated by our new genie-aided bounds.
Furthermore, it is shown that a time-sharing strategy, in which at each time
two users exchange information using coding strategies of the bi-directional
relay channel, achieves the upper bounds to within a constant gap. This result
is further extended to the K-user case, where it is shown that the same scheme
achieves the sum-capacity within 2log(K-1) bits.


title: Percolation properties of growing networks under an Achlioptas process

abstract:
  We study the percolation transition in growing networks under an Achlioptas
process (AP). At each time step, a node is added in the network and, with the
probability $\delta$, a link is formed between two nodes chosen by an AP. We
find that there occurs the percolation transition with varying $\delta$ and the
critical point $\delta_c=0.5149(1)$ is determined from the power-law behavior
of order parameter and the crossing of the fourth-order cumulant at the
critical point, also confirmed by the movement of the peak positions of the
second largest cluster size to the $\delta_c$. Using the finite-size scaling
analysis, we get $\beta/\bar{\nu}=0.20(1)$ and $1/\bar{\nu}=0.40(1)$, which
implies $\beta \approx 1/2$ and $\bar{\nu} \approx 5/2$. The Fisher exponent
$\tau = 2.24(1)$ for the cluster size distribution is obtained and shown to
satisfy the hyperscaling relation.


title:
Acceleration of the universe in matter dominant era by conformal
  symmetry breaking

abstract:
  We introduce a scenario in which the breakdown of conformal symmetry is
responsible for the acceleration of universe in the matter dominant era. In
this regard, we consider a self interacting scalar field non-minimally coupled
to the Ricci scalar and the trace of energy-momentum tensor. For a traceless
energy-momentum tensor in radiation dominant era, the coupling to matter
vanishes and we are left with a conformal invariant gravitational action of
Deser, where the universe may experience a decelerating phase in agreement with
observations. In matter dominant era, the coupling to matter no longer
vanishes, the conformal symmetry is broken down, and the matter inevitably
becomes pressureless. The corresponding field equations are obtained and it is
shown that the universe may have an accelerating phase in this era, provided
that the value of self interaction coupling constant satisfies an specific
lower bound. Moreover, we provide a reasonable solution to the coincidence
problem.


title:
Spin effects in relativistic ionization with highly charged ions in
  super-strong laser fields

abstract:
  Spin effects in above-threshold ionization of hydrogenlike highly charged
ions in super-strong laser fields are investigated. Spin-resolved ionization
rates in the tunneling regime are calculated by employing two versions of a
relativistic Coulomb-corrected strong-field approximation (SFA). An intuitive
simple-man model is developed which explains the derived scaling laws for
spin-flip and spin-asymmetry effects. The intuitive model as well as our ab
initio numerical simulations support the analytical results for the spin
effects obtained in the dressed SFA where the impact of the laser field on the
electron spin evolution in the bound state is taken into account. In contrast,
the standard SFA is shown to fail in reproducing spin effects at ionization
even at a qualitative level. The anticipated spin-effects are expected to be
measurable with modern laser techniques combined with an ion storage facility.


title:
The kinematic signature of the inspiral phase of massive binary black
  holes

abstract:
  Supermassive black holes are expected to pair as a result of galaxy mergers,
and form a bound binary at parsec or sub-parsec scales. These scales are
unresolved even in nearby galaxies, and thus detection of non-active black hole
binaries must rely on stellar dynamics. Here we show that these systems could
be indirectly detected through the trail that the black holes leave as they
spiral inwards. We analyze two numerical simulations of inspiralling black
holes (equal masses and 10:1 mass ratio) in the stellar environment of a
galactic centre. We studied the effect of the binary on the structure of the
stellar population, with particular emphasis on projected kinematics and
directly measurable moments of the velocity distribution. We present those
moments as high-resolution 2D maps. As shown in past scattering experiments, a
torus of stars counter-rotating with respect to the black holes exists in
scales ~ 5 to 10 times larger than the binary separation. While this is seen in
the average velocity map in the unequal mass case, it is obscured by a more
strongly co-rotating outer region in the equal mass case; however, the inner
counter-rotation could still be detected by studying the higher moments of the
velocity distribution. Additionally, the maps reveal a dip in velocity
dispersion in the inner region, as well as more pronounced signatures in the
higher distribution moments. These maps could serve as templates for integral
field spectroscopy observations of nearby galactic centres. The discovery of
such signatures may help census the population of supermassive black hole
binaries and refine signal rate predictions for future space-based low
frequency gravitational wave detectors.


title:
Parameter space metric for 3.5 post-Newtonian gravitational-waves from
  compact binary inspirals

abstract:
  We derive the metric on the parameter space of 3.5 post-Newtonian (3.5PN)
stationary phase compact binary inspiral waveforms for a single detector,
neglecting spin, eccentricity, and finite-body effects. We demonstrate that
this leads to better template placement than the current practice of using the
2PN metric to place 3.5PN templates: The recovered event rate is improved by
about 10% at a cost of nearly doubling the number of templates. The
cross-correlations between mass parameters are also more accurate, which will
result in better coincidence tests.


title: Microscopic description of twisted magnetic Cu2OSeO3

abstract:
  Twisted structures of chiral cubic ferromagnetics MnSi and Cu$_2$OSeO$_3$ can
be described both in the frame of the phenomenological Ginzburg-Landau theory
and using the microscopical Heisenberg formalism with a chirality brought in by
the Dzyaloshinskii-Moriya (DM) interaction. Recent progress in quantum
first-principal methods allows to calculate interatomic bond parameters of the
Heisenberg model, namely, isotropic exchange constants $J_{ij}$ and DM vectors
$\mathbf{D}_{ij}$, which can be used for simulations of observed magnetic
textures and comparison of their calculated characteristics, such as magnetic
helix sense and pitch, with the experimental data. In the present work, it is
found that unaveraged microscopical details of the spin structures (the local
canting) have a strong impact on the global twist and can notably change the
helix propagation number. Coefficients ${\cal J}$ and ${\cal D}$ of the
phenomenological theory and helix propagation number $k={\cal D}/2{\cal J}$ are
derived from interatomic parameters $J_{ij}$ and $\mathbf{D}_{ij}$ of
individual bonds for MnSi and Cu$_2$OSeO$_3$ crystals and similar cubic
magnetics with almost collinear spins.


title:
Harmonically trapped Fermi gas: Temperature dependence of the Tan
  contact

abstract:
  Ultracold atomic gases with short-range interactions are characterized by a
number of universal species-independent relations. Many of these relations
involve the two-body Tan contact. Employing the canonical ensemble, we
determine the Tan contact for small harmonically trapped two-component Fermi
gases at unitarity over a wide range of temperatures, including the zero and
high temperature regimes. A cluster expansion that describes the properties of
the N-particle system in terms of those of smaller subsystems is introduced and
shown to provide an accurate description of the contact in the high temperature
regime. Finite-range corrections are quantified and the role of the Fermi
statistics is elucidated by comparing results for Fermi, Bose and Boltzmann
statistics.


title: Can observed randomness be certified to be fully intrinsic?

abstract:
  Randomness comes in two qualitatively different forms. Apparent randomness
can result both from ignorance or lack of control of degrees of freedom in the
system. In contrast, intrinsic randomness should not be ascribable to any such
cause. While classical systems only possess the first kind of randomness,
quantum systems are believed to exhibit some intrinsic randomness. In general,
any observed random process includes both forms of randomness. In this work, we
provide quantum processes in which all the observed randomness is fully
intrinsic. These results are derived under minimal assumptions: the validity of
the no-signalling principle and an arbitrary (but not absolute) lack of freedom
of choice. The observed randomness tends to a perfect random bit when
increasing the number of parties, thus defining an explicit process attaining
full randomness amplification.


title:
New isometry of Krall-Laguerre orthogonal polynomials in martingale
  spaces

abstract:
  Sets of orthogonal martingales are importants because they can be used as
stochastic integrators in a kind of chaotic representation property, see [20].
In this paper, we revisited the problem studied by W. Schoutens in [21],
investigating how an inner product derived from an Uvarov transformation of the
Laguerre weight function is used in the orthogonalization procedure of a
sequence of martingales related to a certain L\'evy process, called Teugels
Martingales. Since the Uvarov transformation depends by a c<0, we are able to
provide infinite sets of strongly orthogonal martingales, each one for every c
in (-infty,0). In a similar fashion of [21], we introduce a suitable isometry
between the space of polynomials and the space of linear combinations of
Teugels martingales as well as the general orthogonalization procedure.
Finally, the new construction is applied to the Gamma process.


title: Renormalization Group Approach to Dissipative System

abstract:
  In order to understand the dynamical mechanism of the friction phenomena, we
heavily rely on the numerical analysis using various methods: molecular
dynamics, Langevin equation, lattice Boltzmann method, Monte Carlo, e.t.c.. We
propose a new method which has the following characteristic points: 1) the
geometrical approach to the statistical mechanical system; 2) the continuum
approach using Feynman's path integral (generalized version); 3) the
holographic (higher-dimensional) approach; 4) the renormalization phenomenon
takes place in order to treat the statistical fluctuation.


title:
Nuclear $\beta^+$/EC decays in covariant density functional theory and
  the impact of isoscalar proton-neutron pairing

abstract:
  Self-consistent proton-neutron quasiparticle random phase approximation based
on the spherical nonlinear point-coupling relativistic Hartree-Bogoliubov
theory is established and used to investigate the $\beta^+$/EC-decay half-lives
of neutron-deficient Ar, Ca, Ti, Fe, Ni, Zn, Cd, and Sn isotopes. The isoscalar
proton-neutron pairing is found to play an important role in reducing the decay
half-lives, which is consistent with the same mechanism in the $\beta$ decays
of neutron-rich nuclei. The experimental $\beta^+$/EC-decay half-lives can be
well reproduced by a universal isoscalar proton-neutron pairing strength.


title: Dirac reflection for a single-layer graphene quantum well

abstract:
  We address the problem of Dirac fermions graphene quantum well and we focus
on the low energy approximation for the Hamiltonian of the system where the
former can be described by a Dirac-like Hamiltonian. Interesting relations are
obtained and used to discuss the influence of the spin-orbit coupling, which
induces an effective mass-like term, on the transport properties of
Single-layer graphene quantum well. It's found that the reflection probability
of incident electrons is sensitive to the effective mass-like term. This can be
explained by the dependence of R on the incident electrons direction and their
energies. Notably, we found that the reflection probability for massive
fermions with a very small angle, i.e. the wave-vector along the transport
direction is zero in the GQW, can be greatly suppressed.


title: The AGILE Science Alert System

abstract:
  The AGILE Science Alert System has been developed to provide prompt
processing of science data for detection and alerts on gamma-ray galactic and
extra galactic transients, gamma-ray bursts, X-ray bursts and other transients
in the hard X-rays. The system is distributed among the AGILE Data Center (ADC)
of the Italian Space Agency (ASI), Frascati (Italy), and the AGILE Team Quick
Look sites, located at INAF/IASF Bologna and INAF/IASF Roma. We present the
Alert System architecture and performances in the first 2 years of operation of
the AGILE payload.


title: The inclusive decay b to ccs revisited

abstract:
  The inclusive decay rate b to ccs is enhanced considerably due to
perturbative QCD corrections. We recalculate the dominant part of the NLO-QCD
corrections, because they cannot be reconstructed from the literature and we
give the full expressions in this paper. Further we include some previously
neglected corrections originating from penguin diagrams. Combined with the
impressive progress in the accurate determination of input parameters like
charm quark mass, bottom quark mass and CKM parameters, this enables us to make
a very precise prediction of the corresponding branching ratio Br (b to ccs) =
(23 pm 2)%. This result is an essential ingredient for a model and even decay
channel independent search for new physics effects in B decays.


title: The torsion flow on a closed pseudohermitian 3-manifold

abstract:
  In this paper we define the torsion flow, a CR analogue of the Ricci flow.
For homogeneous CR manifolds we give explicit solutions to the torsion flow
illustrating various kinds of behavior. We also derive monotonicity formulas
for CR entropy functionals. As an application, we classify torsion breathers.


title:
Critical values of the external magnetic field leading biological
  effects in the human organism

abstract:
  In the framework of the simplified stochastic model the critical values of an
induction of the external magnetic field leading to sharp increase of
fluctuations of a casual current of biologically important ions in different
blood vessels of a human body are calculated.


title: Cosmic-ray propagation in molecular clouds

abstract:
  Cosmic-rays constitute the main ionising and heating agent in dense,
starless, molecular cloud cores. We reexamine the physical quantities necessary
to determine the cosmic-ray ionisation rate (especially the cosmic ray spectrum
at E < 1 GeV and the ionisation cross sections), and calculate the ionisation
rate as a function of the column density of molecular hydrogen. Available data
support the existence of a low-energy component (below about 100 MeV) of
cosmic-ray electrons or protons responsible for the ionisation of diffuse and
dense clouds. We also compute the attenuation of the cosmic-ray flux rate in a
cloud core taking into account magnetic focusing and magnetic mirroring,
following the propagation of cosmic rays along flux tubes enclosing different
amount of mass and mass-to-flux ratios. We find that mirroring always dominates
over focusing, implying a reduction of the cosmic-ray ionisation rate by a
factor of 3-4 depending on the position inside the core and the magnetisation
of the core.


title: A note on the Waring ranks of reducible cubic forms

abstract:
  Let $W_3(n)$ be the set of Waring ranks of reducible cubic forms in $n+1$
variables. We prove that $W_3(n)\subseteq \lbrace 1,..., 2n+1\rbrace$.


title: Quantum dilogarithm identities and cyclic quivers

abstract:
  We study quantum dilogarithm identities for cyclic quivers following
Reineke's idea via Ringel-Hall algebra approach. For any given discrete
stability function for the cyclic quiver $\Delta_n$ with $n$ vertices, we
obtain certain cyclic quantum dilogarithm identities of order $n$ in the sense
of Bytsko and Volkov.


title: Closure of dilates of shift-invariant subspaces

abstract:
  Let $V$ be any shift-invariant subspace of square summable functions. We
prove that if for some $A$ expansive dilation $V$ is $A$-refinable, then the
completeness property is equivalent to several conditions on the local
behaviour at the origin of the spectral function of $V$, among them the origin
is a point of $A^*$-approximate continuity of the spectral function if we
assume this value to be one. We present our results also in the more general
setting of $A$-reducing spaces. We also prove that the origin is a point of
$A^*$-approximate continuity of the Fourier transform of any semiorthogonal
tight frame wavelet if we assume this value to be zero.


title:
Extending multiple histogram reweighting to a continuous lattice spin
  system exhibiting a first order phase transition

abstract:
  We present extensive Monte Carlo simulations on a two-dimensional XY model
with a modified form of interaction potential. Thermodynamic quantities other
than energy, specific heat etc (such as magnetization, susceptibility, fourth
order cumulant of magnetization) are obtained using multiple-histogram
reweighting of the data obtained from the simulations. We employ an approach
which eliminates the need to construct two-dimensional histograms. This
approach makes judicious use of computer memory as well as CPU time.
Lee-kosterlitz's method of finite size scaling for a first order transition and
analysis using Binder's cumulant method allow us to make an accurate
determination of the transition temperature.


title:
Growth of a Protostar and a Young Circumstellar Disk with High Mass
  Accretion Rate onto the Disk

abstract:
  The growing process of both a young protostar and a circumstellar disk is
investigated. Viscous evolution of a disk around a single star is considered
with a model where a disk increases its mass by dynamically accreting envelope
and simultaneously loses its mass via viscous accretion onto the central star.
We focus on the circumstellar disk with high mass accretion rate onto the disk
$\dot{M}=8.512c_{\rm s}^3/G$ as a result of dynamical collapse of rotating
molecular cloud core. We study the origin of the surface density distribution
and the origin of the disk-to-star mass ratio by means of numerical
calculations of unsteady viscous accretion disk in one-dimensional axisymmetric
model. It is shown that the radial profiles of the surface density $\Sigma$,
azimuthal velocity $v_{\phi}$, and mass accretion rate $\dot{M}$ in the inner
region approach to the quasi-steady state. Profile of the surface density
distribution in the quasi-steady state is determined as a result of angular
momentum transport rather than its original distribution of angular momentum in
the cloud core. It is also shown that the disk mass becomes larger than the
central star in the long time limit as long as temporary constant mass flux
onto the disk is assumed. After the mass infall rate onto the disk declines
owing to the depletion of the parent cloud core, the disk-to-star mass ratio
$M_{\rm disk}/M_*$ decreases. The disk-to-star mass ratio becomes smaller than
unity after $t> 10^5 \rm yr$ and $t>10^6 \rm yr$ from the beginning of the
accretion phase in the case with $\alpha_0 =1 {\rm and} 0.1$, respectively,
where $\alpha_0 $ is the constant part of viscous parameter. In the case with
$\alpha_0 \leq 10^{-2}$, $M_{\rm disk}/M_*$ is still larger than unity at $2
\rm Myr$ from the beginning of the accretion phase.


title: A Primal Condition for Approachability with Partial Monitoring

abstract:
  In approachability with full monitoring there are two types of conditions
that are known to be equivalent for convex sets: a primal and a dual condition.
The primal one is of the form: a set C is approachable if and only all
containing half-spaces are approachable in the one-shot game; while the dual
one is of the form: a convex set C is approachable if and only if it intersects
all payoff sets of a certain form. We consider approachability in games with
partial monitoring. In previous works (Perchet 2011; Mannor et al. 2011) we
provided a dual characterization of approachable convex sets; we also exhibited
efficient strategies in the case where C is a polytope. In this paper we
provide primal conditions on a convex set to be approachable with partial
monitoring. They depend on a modified reward function and lead to
approachability strategies, based on modified payoff functions, that proceed by
projections similarly to Blackwell's (1956) strategy; this is in contrast with
previously studied strategies in this context that relied mostly on the
signaling structure and aimed at estimating well the distributions of the
signals received. Our results generalize classical results by Kohlberg 1975
(see also Mertens et al. 1994) and apply to games with arbitrary signaling
structure as well as to arbitrary convex sets.


title: Families of fast elliptic curves from Q-curves

abstract:
  We construct new families of elliptic curves over \(\FF_{p^2}\) with
efficiently computable endomorphisms, which can be used to accelerate elliptic
curve-based cryptosystems in the same way as Gallant-Lambert-Vanstone (GLV) and
Galbraith-Lin-Scott (GLS) endomorphisms. Our construction is based on reducing
\(\QQ\)-curves-curves over quadratic number fields without complex
multiplication, but with isogenies to their Galois conjugates-modulo inert
primes. As a first application of the general theory we construct, for every
\(p > 3\), two one-parameter families of elliptic curves over \(\FF_{p^2}\)
equipped with endomorphisms that are faster than doubling. Like GLS (which
appears as a degenerate case of our construction), we offer the advantage over
GLV of selecting from a much wider range of curves, and thus finding secure
group orders when \(p\) is fixed. Unlike GLS, we also offer the possibility of
constructing twist-secure curves. Among our examples are prime-order curves
equipped with fast endomorphisms, with almost-prime-order twists, over
\(\FF_{p^2}\) for \(p = 2^{127}-1\) and \(p = 2^{255}-19\).


title:
Searches for Large-Scale Anisotropies of Cosmic Rays: Harmonic Analysis
  and Shuffling Technique

abstract:
  The measurement of large scale anisotropies in cosmic ray arrival directions
is generally performed through harmonic analyses of the right ascension
distribution as a function of energy. These measurements are challenging due to
the small expected anisotropies and meanwhile the relatively large modulations
of observed counting rates due to experimental effects. In this paper, we
present a procedure based on the shuffling technique to carry out these
measurements, applicable to any cosmic ray detector without any additional
corrections for the observed counting rates.


title:
Vector-boson pair production at the LHC to $\mathcal{O}(\alpha^3)$
  accuracy

abstract:
  Building on earlier work on electroweak corrections to W-pair production, the
first calculation of the full electroweak one-loop corrections to on-shell ZZ,
W$^{\pm}$Z and $\gamma\gamma$ production at hadron colliders is presented,
explicitly taking into account the full vector-boson mass dependence. As a
consequence, our results are valid in the whole energy range probed by LHC
experiments. Until now, the electroweak corrections have only been known in
dedicated high-energy approximations limited to a specific kinematic regime, in
particular requiring high boson transverse momenta. Therefore, our results
comprise an important and so far missing ingredient to improve on the theory
predictions for these fundamental Standard-Model benchmark processes also at
intermediate energies and small scattering angles, where actually the bulk of
events is located. In case of Z-pair production we have also included the
leptonic decays and the associated weak corrections in our analysis. For this
particular channel, corrections of about -4% are observed even close to the
production threshold. For hard scattering processes with momentum transfers of
several hundred GeV one finds large negative corrections which may amount to
several tens of percent and lead to significant distortions of
transverse-momentum and rapidity distributions.


title:
Residual properties of automorphism groups of (relatively) hyperbolic
  groups

abstract:
  We show that Out(G) is residually finite if G is a one-ended group that is
hyperbolic relative to virtually polycyclic subgroups. More generally, if G is
one-ended and hyperbolic relative to proper residually finite subgroups, the
group of outer automorphisms preserving the peripheral structure is residually
finite. We also show that Out(G) is virtually p-residually finite for every
prime p if G is one-ended and toral relatively hyperbolic, or infinitely-ended
and virtually p-residually finite.


title: Pure Price of Anarchy for Generalized Second Price Auction

abstract:
  The Generalized Second Price auction (GSP) has been widely used by search
engines to sell ad slots. Previous studies have shown that the pure Price Of
Anarchy (POA) of GSP is 1.25 when there are two ad slots and 1.259 when three
ad slots. For the cases with more than three ad slots, however, only some
untight upper bounds of the pure POA were obtained. In this work, we improve
previous results in two aspects: (1) We prove that the pure POA for GSP is
1.259 when there are four ad slots, and (2) We show that the pure POA for GSP
with more than four ad slots is also 1.259 given the bidders are ranked
according to a particular permutation.


title:
Magnetoelastic excitations in the pyrochlore spin liquid
  Tb$_2$Ti$_2$O$_7$

abstract:
  At low temperatures, Tb$_2$Ti$_2$O$_7$ enters a spin liquid state, despite
expectations of magnetic order and/or a structural distortion. Using neutron
scattering, we have discovered that in this spin liquid state an excited
crystal field level is coupled to a transverse acoustic phonon, forming a
hybrid excitation. Magnetic and phononlike branches with identical dispersion
relations can be identified, and the hybridization vanishes in the paramagnetic
state. We suggest that Tb$_2$Ti$_2$O$_7$ is aptly named a "magnetoelastic spin
liquid" and that the hybridization of the excitations suppresses both magnetic
ordering and the structural distortion. The spin liquid phase of
Tb$_2$Ti$_2$O$_7$ can now be regarded as a Coulomb phase with propagating
bosonic spin excitations.


title: Band structure in the polymer quantization of the harmonic oscillator

abstract:
  We discuss the detailed structure of the spectrum of the Hamiltonian for the
polymerized harmonic oscillator and compare it with the spectrum in the
standard quantization. As we will see the non-separability of the Hilbert space
implies that the point spectrum consists of bands similar to the ones appearing
in the treatment of periodic potentials. This feature of the spectrum of the
polymeric harmonic oscillator may be relevant for the discussion of the polymer
quantization of the scalar field and may have interesting consequences for the
statistical mechanics of these models.


title: Entropy as a measure of diffusion

abstract:
  The time variation of entropy, as an alternative to the variance, is proposed
as a measure of the diffusion rate. It is shown that for linear and
time-translationally invariant systems having a large-time limit for the
density, at large times the entropy tends exponentially to a constant. For
systems with no stationary density, at large times the entropy is logarithmic
with a coefficient specifying the speed of the diffusion. As an example, the
large time behaviors of the entropy and the variance are compared for various
types of fractional-derivative diffusions.


title: Determinism, Complexity, and Predictability in Computer Performance

abstract:
  Computers are deterministic dynamical systems (CHAOS 19:033124, 2009). Among
other things, that implies that one should be able to use deterministic
forecast rules to predict their behavior. That statement is sometimes-but not
always-true. The memory and processor loads of some simple programs are easy to
predict, for example, but those of more-complex programs like compilers are
not. The goal of this paper is to determine why that is the case. We conjecture
that, in practice, complexity can effectively overwhelm the predictive power of
deterministic forecast models. To explore that, we build models of a number of
performance traces from different programs running on different Intel-based
computers. We then calculate the permutation entropy-a temporal entropy metric
that uses ordinal analysis-of those traces and correlate those values against
the prediction success


title:
Measuring the Kerr spin parameter of a non-Kerr compact object with the
  continuum-fitting and the iron line methods

abstract:
  Under the assumption that astrophysical black hole candidates are the Kerr
black holes of general relativity, the continuum-fitting method and the
analysis of the K$\alpha$ iron line are today the only available techniques
capable of providing a relatively reliable estimate of the spin parameter of
these objects. If we relax the Kerr black hole hypothesis and we try to test
the nature of black hole candidates, we find that there is a strong correlation
between the measurement of the spin and possible deviations from the Kerr
solution. The properties of the radiation emitted in a Kerr spacetime with spin
parameter $a_*$ are indeed very similar, and practically indistinguishable,
from the ones of the radiation emitted around a non-Kerr object with different
spin. In this paper, I address the question whether measuring the Kerr spin
with both the continuum-fitting method and the K$\alpha$ iron line analysis of
the same object can be used to claim the Kerr nature of the black hole
candidate in the case of consistent results. In this work, I consider two
non-Kerr metrics and it seems that the answer does depend on the specific
background. The two techniques may either provide a very similar result (the
case of the Bardeen metric) or show a discrepancy (Johannsen-Psaltis
background).


title: Gauge theory on a space with linear Lie type fuzziness

abstract:
  The U(1) gauge theory on a space with Lie type noncommutativity is
constructed. The construction is based on the group of translation in Fourier
space, which in contrast to space itself is commutative. In analogy with
lattice gauge theory, the object playing the role of flux of field strength per
plaquette, as well as the action, are constructed. It is observed that the
theory, in comparison with ordinary U(1) gauge theory, has an extra gauge field
component. This phenomena is reminiscent of similar ones in formulation of
SU(N) gauge theory in space with canonical noncommutativity, and also
appearance of gauge field component in discrete direction of Connes'
construction of the Standard Model.


title:
Rethinking the logistic approach for population dynamics of mutualistic
  interactions

abstract:
  Mutualistic communities have an internal structure that makes them resilient
to external per- turbations. Late research has focused on their stability and
the topology of the relations between the different organisms to explain the
reasons of the system robustness. Much less attention has been invested in
analyzing the systems dynamics. The main population models in use are modifi-
cations of the logistic equation with additional terms to account for the
benefits produced by the interspecific interactions. These models have
shortcomings as the so called r - K formulation of logistic equation diverges
under some conditions. In this work, we introduce a model for population
dynamics under mutualism inspired by the logistic equation but avoiding
singularities. The model is mathematically simpler than the widely used type II
models, although it shows similar complexity in terms of fixed points and
stability of the dynamics. Furthermore, each term of our model has a more
direct ecological interpretation, which can facilitate the measurement of the
rates involved in field campaigns. We perform an analytical stability analysis
and numerical simulations to study the model behavior in more general
interaction scenarios including tests of the resilience of its dynamics under
external perturbations. Despite its simplicity, our results indicate that the
model dynamics shows an important richness that can be used to gain further
insights in the dynamics of mutualistic communities.


title: Whether or not a Body Form Depends on Acceleration?

abstract:
  The answer has been obtained for the A. Einstein question - How do body
shapes change at acceleration? The metric has been found of uniformly
accelerated system. The gravity field equation was established and its solution
example was given.


title: Measuring Complexity in an Aquatic Ecosystem

abstract:
  We apply formal measures of emergence, self-organization, homeostasis,
autopoiesis and complexity to an aquatic ecosystem; in particular to the
physiochemical component of an Arctic lake. These measures are based on
information theory. Variables with an homogeneous distribution have higher
values of emergence, while variables with a more heterogeneous distribution
have a higher self-organization. Variables with a high complexity reflect a
balance between change (emergence) and regularity/order (self-organization). In
addition, homeostasis values coincide with the variation of the winter and
summer seasons. Autopoiesis values show a higher degree of independence of
biological components over their environment. Our approach shows how the
ecological dynamics can be described in terms of information.


title:
Measurement and vibration studies on the final focus doublet at Daphne
  and new collider implications

abstract:
  A Super Flavour Factory, to be built in the Tor Vergata University campus
near Frascati, Italy, will have nano-beams in order to reach a design
luminosity two orders of magnitude higher than the present state of the art.
The knowledge and compensation of the vibrations induced on the beams by the
anthropic noise is then fundamental. The Daphne Phi-factory at LNF, Frascati,
was upgraded in the second half of 2007 in order to implement the large
Piwinski angle and crab waist collision scheme [1] and in 2010 the KLOE
experiment was rolled in for a new data taking and physic program [2]. A
vibration measurement campaign has been performed in Daphne to find out the
actual vibration sensitivity of the final focus doublets. Vibration
measurements were performed on the final focus doublet because of luminosity
losses and photon beam lines instability observations. Measurement results and
stabilization technique to mitigate the effects of the ground motion induced by
the "cultural noise" are presented. Implications of this experience on the
design and stabilization of the super flavour factory final focus doublets will
be discussed.


title: The Goldstone Theorem in non-linear electrodynamics

abstract:
  We construct a non-linear electrodynamics arising from the spontaneous
Lorentz symmetry breaking triggered by a non-zero vacuum expectation value of
the electromagnetic field strength, instead of the electromagnetic potential.
The expansion of the corresponding action in terms of the physical photon
excitations is naturally written in terms of generalized permeabilities, in a
manner similar to when the polarization is expanded in terms of the
susceptibilities when studying non-linear effects in standard optics. The new
version of the Goldstone theorem is investigated and implies that the lowest
order permeability, been the analogous of the mass matrix in the standard case,
has zero modes. These are interpreted as the corresponding Goldstone modes of
the model and they are explicitly constructed for one of the two choices of
vacua that the theory admits. Further iterations of the method employed to
obtain such theorem yield relationships among the generalized permeabilities.
Some preliminary results regarding the splitting of the two degrees of freedom
of the model into Goldstone and non-Goldstone modes are presented.


title:
New Methods for Calculating the Free Energy of Charged Defects in Solid
  Electrolytes

abstract:
  A methodology for calculating the contribution of charged defects to the
configurational free energy of an ionic crystal is introduced. The
temperature-independent Wang-Landau Monte Carlo technique is applied to a
simple model of a solid electrolyte, consisting of charged positive and
negative defects on a lattice. The electrostatic energy is computed on lattices
with periodic boundary conditions, and used to calculate the density of states
and statistical-thermodynamic potentials of this system. The free energy as a
function of defect concentration and temperature is accurately described by a
regular solution model up to concentrations of 10% of defects, well beyond the
range described by the ideal solution theory.
  The approach, supplemented by short-ranged terms in the energy, is proposed
as an alternative to free-energy methods that require a number of simulations
to be carried out over a range of temperatures.


title:
Towards a model-independent constraint of the high-density dependence of
  the symmetry energy

abstract:
  Neutron-proton elliptic flow difference and ratio have been shown to be
promising observables in the attempt to constrain the density dependence of the
symmetry energy above the saturation point from heavy-ion collision data. Their
dependence on model parameters like microscopic nucleon-nucleon cross-sections,
compressibility of nuclear matter, optical potential, and symmetry energy
parametrization is thoroughly studied. By using a parametrization of the
symmetry energy derived from the momentum dependent Gogny force in conjunction
with the T\"{u}bingen QMD model and comparing with the experimental FOPI/LAND
data for 197Au+197Au collisions at 400 MeV/nucleon, a moderately stiff, x=-1.35
+/- 1.25, symmetry energy is extracted, a result that agrees with that of a
similar study that employed the UrQMD transport model and a momentum
independent power-law parametrization of the symmetry energy. This contrasts
with diverging results extracted from the FOPI $\pi^{-}/\pi^{+}$ ratio
available in the literature.


title: Regularity results for nonlocal parabolic equations

abstract:
  We survey recent regularity results for parabolic equations involving
nonlocal operators like the fractional Laplacian. We extend the results of
Felsinger-Kassmann (2013) and obtain regularity estimates for nonlocal
operators with kernels not being absolutely continuous with respect to the
Lebesgue measure.


title:
Space-like Surfaces in Minkowski Space $\mathbb E^4_1$ with Pointwise
  1-Type Gauss Map

abstract:
  In this work we firstly classify space-like surfaces in Minkowski space
$\mathbb E^4_1$, de-Sitter space $\mathbb S^3_1$ and hyperbolic space $\mathbb
H^3$ with harmonic Gauss map. Then we give a characterization and
classification of space-like surfaces with pointwise 1-type Gauss map of the
first kind. We also give some explicit examples.


title:
Interplay between new physics in one-loop Higgs couplings and the
  top-quark Yukawa coupling

abstract:
  After the discovery of a 126 GeV state at the LHC it is imperative to
establish whether this particle really is the Higgs boson of the standard
model. The early measurements have not yet pinpointed any of the Higgs
couplings to fermions, the Yukawa couplings of the standard model. In this
paper we study the values of the top-quark-Higgs coupling, $g_{ht\bar{t}}$,
that are still allowed by the one-loop couplings of the Higgs to two gluons or
two photons. We first assume that both the gluon fusion production of the Higgs
and its decay into two photons proceed through loops with standard model
particles only, albeit with an arbitrary top-Higgs coupling. We find that the
current Higgs data still allows for 20% deviations in $g_{ht\bar{t}}$ from its
standard model value. We then investigate the effect of new particles
contributing to the effective one-loop couplings. Specifically we consider a
color octet electroweak doublet extension of the scalar sector and find that in
this case $g_{ht\bar{t}}$ is allowed to deviate by 40% from its standard model
value by the current data.


title:
Antipersistent behavior of defects in a lyotropic liquid crystal during
  annihilation

abstract:
  We report on the dynamical behavior of defects of strength s = +/- 1/2 in a
lyotropic liquid crystal during the annihilation process. By following their
positions using time resolved polarizing microscopy technique, we present
statistically significant evidence that the relative velocity between defect
pairs is Gaussian distributed, anti-persistent and long-range correlated. We
further show that simulations of the Lebwohl-Lasher model reproduce quite well
our experimental findings.


title:
Wide-Field InfraRed Survey Telescope-Astrophysics Focused Telescope
  Assets WFIRST-AFTA Final Report

abstract:
  The Astro2010 Decadal Survey recommended a Wide Field Infrared Survey
Telescope (WFIRST) as its top priority for a new large space mission. As
conceived by the decadal survey, WFIRST would carry out a dark energy science
program, a microlensing program to determine the demographics of exoplanets,
and a general observing program utilizing its ultra wide field. In October
2012, NASA chartered a Science Definition Team (SDT) to produce, in
collaboration with the WFIRST Project Office at GSFC and the Program Office at
JPL, a Design Reference Mission (DRM) for an implementation of WFIRST using one
of the 2.4-m, Hubble-quality mirror assemblies recently made available to NASA.
This DRM builds on the work of the earlier WFIRST SDT, reported by Green et al.
(2012). The 2.4-m primary mirror enables a mission with greater sensitivity and
higher angular resolution than the 1.3-m and 1.1-m designs considered
previously, increasing both the science return of the primary surveys and the
capabilities of WFIRST as a Guest Observer facility. The option of adding an
on-axis, coronagraphic instrument would enable imaging and spectroscopic
studies of planets around nearby stars. This document presents the final report
of the SDT.


title:
Influence of the time-dependent surfactant adsorption on the lifetime of
  a drop pressed by buoyancy against a planar interface

abstract:
  Emulsion Stability Simulations (ESS) of deformable droplets are used to study
the influence of the time-dependent adsorption on the coalescence time of a
200-$\mu$m drop of soybean oil pressed by buoyancy against a planar water/oil
interface. The interface is represented by a 5000-$\mu$m drop of oil fixed in
the space. The movement of the small drop is determined by the interaction
forces between the drops, the buoyancy force, and its thermal interaction with
the solvent. The interaction forces depend on the surface concentration of
surfactant molecules at the oil/water interfaces. Assuming diffusion limited
adsorption, the surface excess of the surfactant becomes a function of its
apparent diffusion constant, $D_{app}$. Distinct probability distributions of
the coalescence time are obtained depending on the magnitude of $D_{app}$. The
origin and the significance of these distributions are discussed.


title:
Determination of tan(beta) from the Higgs boson decay at linear
  colliders

abstract:
  In the two Higgs doublet model, $\tan\beta$ is an important parameter, which
is defined as the ratio of the vacuum expectation values of the doublets. We
study how accurately $\tan\beta$ can be determined at linear colliders via the
precision measurement of the decay branching fraction of the standard model
(SM) like Higgs boson. Since the effective coupling constants of the Higgs
boson with the weak gauge bosons are expected to be measured accurately, the
branching ratios can be precisely determined. Consequently, $\tan\beta$ can be
determined with a certain amount of accuracy. Comparing the method to those
using direct production of the additional Higgs bosons, we find that, depending
on the type of Yukawa interactions, the precision measurement of the decay of
the SM-like Higgs boson can be the best way to determine $\tan\beta$, when the
deviations in the coupling constants with the gauge boson from the SM
prediction are observed at linear colliders.


title: WFIRST-2.4: What Every Astronomer Should Know

abstract:
  The Astro2010 Decadal Survey recommended a Wide Field Infrared Survey
Telescope (WFIRST) as its top priority for a new large space mission. The
report of the WFIRST-AFTA Science Definition Team (SDT) presents a Design
Reference Mission for WFIRST that employs one of the 2.4-m, Hubble-quality
mirror assemblies recently made available to NASA. The 2.4-m primary mirror
enables a mission with greater sensitivity and higher angular resolution than
the smaller aperture designs previously considered for WFIRST, increasing both
the science return of the primary surveys and the capabilities of WFIRST as a
Guest Observer facility. The option of adding an on-axis, coronagraphic
instrument would enable imaging and spectroscopic studies of planets around
nearby stars. This short article, produced as a companion to the SDT report,
summarizes the key points of the WFIRST-2.4 DRM. It highlights the remarkable
opportunity that the 2.4-m telescope affords for advances in many fields of
astrophysics and cosmology, including dark energy, the demographics and
characterization of exoplanets, the evolution of galaxies and quasars, and the
stellar populations of the Milky Way and its neighbors.


title:
Observation of antiferromagnetic order collapse in the pressurized
  insulator LaMnPO

abstract:
  The emergence of superconductivity in the iron pnictide and cuprate high
temperature superconductors usually accompanies the suppression of an
antiferromagnetically (AFM) ordered state in a corresponding parent compound
through the use of chemical doping or external pressure1-5. A great deal of
effort has been made to find superconductivity in Mn-based compounds6-14, which
are thought to bridge the gap between the two families of high temperature
superconductors7,15,16, but long-ranged AFM order was not successfully
suppressed via chemical doping in these investigations. Here we report the
first observation of the pressure-induced elimination of long-ranged AFM order
in LaMnPO single crystals that are iso-structural to the LaFeAsO
superconductor15,17. By combining in-situ high pressure resistance and ac
susceptibility measurements, we found that LaMnPO undergoes a crossover from an
AFM insulating to an AFM metallic state at a pressure ~20 GPa and that the
long-ranged AFM order collapses at a higher pressure ~32 GPa. Our findings are
of importance to explore potential superconductivity in Mn-based compounds and
to shed new light on the underlying mechanism of high temperature
superconductivity.


title: Notes on a problem on weakly exponential $\Delta$-semigroups

abstract:
  A semigroup $S$ is called a weakly exponential semigroup if, for every couple
$(a,b)\in S\times S$ and every positive integer $n$, there is a non-negative
integer $m$ such that $(ab)^{n+m}=a^nb^n(ab)^m=(ab)^ma^nb^n$. A semigroup $S$
is called a $\Delta$-semigroup if the lattice of all congruences of $S$ is a
chain with respect to inclusion. The weakly exponential $\Delta$-semigroups
were described in [5]: A. Nagy, Weakly exponential $\Delta$-semigroups,
Semigroup Forum, 40(1990), 297-313. Although the existence of two types of them
(T2R and T2L semigroups) is an open question, Theorem 3.11 of [5] gives
necessary and sufficient conditions for a semigroup to be a T2R [T2L]
semigroup. In our present paper we give a little correction of condition (v) of
Theorem 3.11 of [5], and prove some new results which are addendum to the
problem: Doest there exist a T2R [T2L] semigroup?


title:
Influence of swimming strategy on microorganism separation by asymmetric
  obstacles

abstract:
  It has been shown that a nanoliter chamber separated by a wall of asymmetric
obstacles can lead to an inhomogeneous distribution of self-propelled
microorganisms. Although it is well established that this rectification effect
arises from the interaction between the swimmers and the non-centrosymmetric
pillars, here we demonstrate numerically that its efficiency is strongly
dependent on the detailed dynamics of the individual microorganism. In
particular, for the case of run-and-tumble dynamics, the distribution of run
lengths, the rotational diffusion and the partial preservation of run
orientation memory through a tumble are important factors when computing the
rectification efficiency. In addition, we optimize the geometrical dimensions
of the asymmetric pillars in order to maximize the swimmer concentration and we
illustrate how it can be used for sorting by swimming strategy in a long array
of parallel obstacles.


title: Gaussian Mills ratio is completely monotone

abstract:
  Consider the Mills ratio corresponding to the standard Gaussian law,
$f(x)=\big(1-\Phi(x)\big)/\phi(x), \, x\ge 0$, where $\phi$ is the density
function of this law and $\Phi$ its cumulative distribution function. We prove
that this function is completely monotone. In the proof we obtain a sequence of
rational functions that are sharp bounds for $f$; it turns out that these
rational functions are the convergents of the continued fraction defined by
$f$, and provide an approximation procedure that allows to prove interesting
properties where $f$ or its derivatives are involved. As an application we show
that $1/f$ is strictly convex.


title:
Second harmonic double resonance cones in dispersive hyperbolic
  metamaterials

abstract:
  We study the formation of second harmonic double-resonance cones in
hyperbolic metamaterials. An electric dipole on the surface of the structure
induces second harmonic light to propagate into two distinct volume
plasmon-polariton channels: A signal that propagates within its own peculiar
resonance cone; and a phase-locked signal that is trapped under the pump's
resonance cone. Metamaterial dispersion and birefringence induce a large
angular divergence between the two volume plasmon-polaritons, making these
structures ideal for subwavelength second and higher harmonic imaging
microscopy.


title:
EWSB from strongly-coupled dynamics: an EFT approach and implications
  for WW production

abstract:
  If the dynamics behind EWSB are of strongly-coupled nature, the Standard
Model ceases to be renormalizable and should be instead understood as an
effective field theory (EFT). Here I will discuss the systematics behind this
effective field theory description. My focus will be on deriving a consistent
power-counting formula and building the basis of NLO operators. As an
application, I will consider WW production both at linear and hadron colliders.


title: Decay constants of heavy-light vector mesons from QCD sum rules

abstract:
  We revisit QCD sum rules for the decay constants of heavy-light mesons. In
the sum rules for the vector mesons B^*_(s) and D^*_(s) we improve the accuracy
of OPE, taking into account the O(alpha_s^2) terms in the perturbative part and
calculating the O(alpha_s) corrections to the quark-condensate contribution.
With this accuracy, we obtain the ratios of decay constants: f_B^*/f_B=1.02
+0.07 -0.03, f_D^*/f_D=1.20 +0.10 -0.07. The sum rule predictions for the decay
constants of pseudoscalar mesons are updated with the results f_B=(207 +17 -9)
MeV, f_B_s=(242 +17 -12) MeV, f_D=(201 +12 -13) MeV, f_D_s=(238 +13 -23) MeV.
In order to assess the sensitivity of our calculation to the form of the sum
rule, we consider alternative versions such as the power moments and Borel sum
rules with different weights of the spectral density. We also investigated the
heavy quark limit of the sum rules for vector and pseudoscalar mesons,
estimating the violations of the heavy-quark spin and flavour symmetry.


title: Emerging Technologies in Mass Spectrometry Imaging

abstract:
  Mass spectrometry imaging (MSI) as an analytical tool for bio-molecular and
bio-medical research targets, accurate compound localization and
identification. In terms of dedicated instrumentation, this translates into the
demand for more detail in the image dimension (spatial resolution) and in the
spectral dimension (mass resolution and accuracy), preferably combined in one
instrument. At the same time, large area biological tissue samples require fast
acquisition schemes, instrument automation and a robust data infrastructure.
This review discusses the analytical capabilities of an "ideal" MSI instrument
for bio-molecular and bio-medical molecular imaging. The analytical attributes
of such an ideal system are contrasted with technological and methodological
challenges in MSI. In particular, innovative instrumentation for high spatial
resolution imaging in combination with high sample throughput is discussed.
Detector technology that targets various shortcomings of conventional imaging
detector systems is highlighted. The benefits of accurate mass analysis, high
mass resolving power, additional separation strategies and multimodal
three-dimensional data reconstruction algorithms are discussed to provide the
reader with an insight in the current technological advances and the potential
of MSI for bio-medical research.


title:
Quantifying the sorting efficiency of self-propelled run-and-tumble
  swimmers by geometrical ratchets

abstract:
  Suitable asymmetric microstructures can be used to control the direction of
motion in microorganism populations. This rectification process makes it
possible to accumulate swimmers in a region of space or to sort different
swimmers. Here we study numerically how the separation process depends on the
specific motility strategies of the microorganisms involved. Crucial properties
such as the separation efficiency and the separation time for two bacterial
strains are precisely defined and evaluated. In particular, the sorting of two
bacterial populations inoculated in a box consisting of a series of chambers
separated by columns of asymmetric obstacles is investigated. We show how the
sorting efficiency is enhanced by these obstacles and conclude that this kind
of sorting can be efficiently used even when the involved populations differ
only in one aspect of their swimming strategy.


title: Phase-field approximations of the Willmore functional and flow

abstract:
  We discuss in this paper phase-field approximations of the Willmore
functional and the associated L2-flow. After recollecting known results on the
approximation of the Willmore energy and its L1-relaxation, we derive the
expression of the flows associated with various approximations, and we show
their behavior by formal arguments based on matched asymptotic expansions. We
introduce an accurate numerical scheme, whose local convergence can be proved,
to describe with more details the behavior of two flows, the classical and the
flow associated with an approximation model due to Mugnai. We propose a series
of numerical simulations in 2D and 3D to illustrate their behavior in both
smooth and singular situations.


title: Using LDGM Codes and Sparse Syndromes to Achieve Digital Signatures

abstract:
  In this paper, we address the problem of achieving efficient code-based
digital signatures with small public keys. The solution we propose exploits
sparse syndromes and randomly designed low-density generator matrix codes.
Based on our evaluations, the proposed scheme is able to outperform existing
solutions, permitting to achieve considerable security levels with very small
public keys.


title:
Biological Tissue Imaging with a Position and Time Sensitive Pixelated
  Detector

abstract:
  We demonstrate the capabilities of a highly parallel, active pixel detector
for large-area, mass spectrometric imaging of biological tissue sections. A
bare Timepix assembly (512x512 pixels) is combined with chevron microchannel
plates on an ion microscope matrix-assisted laser desorption time-of-flight
mass spectrometer (MALDI TOF-MS). The detector assembly registers position- and
time-resolved images of multiple m/z species in every measurement frame. We
prove the applicability of the detection system to bio-molecular mass
spectrometry imaging on biologically relevant samples by mass-resolved images
from Timepix measurements of a peptide-grid benchmark sample and mouse testis
tissue slices. Mass-spectral and localization information of analytes at
physiological concentrations are measured in MALDI-TOF-MS imaging experiments.
We show a high spatial resolution (pixel size down to 740x740 nm2 on the sample
surface) and a spatial resolving power of 6 {\mu}m with a microscope mode laser
field of view of 100-335 {\mu}m. Automated, large-area imaging is demonstrated
and the Timepix' potential for fast, large-area image acquisition is
highlighted.


title:
Sommerfeld enhancements with vector, scalar and pseudoscalar
  force-carriers

abstract:
  The first AMS-02 measurement confirms the existence of an excess in the
cosmic-ray positron fraction previously reported by the PAMELA and Fermi-LAT
experiments. If interpreted in terms of thermal dark matter (DM) annihilation,
the AMS-02 result still suggests that the DM annihilation cross section in the
present day should be significantly larger than that at freeze out. The
Sommerfeld enhancement of DM annihilation cross section as a possible
explanation for the observed excesses is subject to constraint from the DM
thermal relic density, mainly due to the annihilation of DM particles into
force-carrier particles introduced by the mechanism. We show that the effect of
the Sommerfeld enhancement and the relic density constraint depend
significantly on the nature of the force-carrier. Three cases where the
force-carrier is a vector boson, scalar and pseudoscalar particle are
investigated and compared with each other. The results show that for the vector
force-carrier, the Sommerfeld enhancement can marginally account for the AMS-02
data for $2\mu$ final states, while for scalar force-carrier the allowed
Sommerfeld enhancement can be larger by a factor of two. For the case with a
pesudoscalar force-carrier, the Sommerfeld enhancement can be large enough to
accommodate the AMS-02 and Fermi-LAT result for a variety of DM annihilation
final states.


title: Capillary Flow of Oil in a Single Foam Microchannel

abstract:
  When using appropriate surfactants, oil and aqueous foam can be intimately
mixed without the foam being destroyed. In this Letter, we show that a foam,
initially free of oil, can draw an oil drop under the action of capillary
forces and stretch it through the aqueous network. We focus on the suction of
oil by a single horizontal foam channel, known as a Plateau border. In such
confined channels, imbibition dynamics are governed by a balance between
capillarity and viscosity. Yet, the scaling law for our system differs from
that of classical imbibition in porous media such as aqueous foam. This is due
to the particular geometry of the liquid channels: Plateau borders filled with
foaming solution are always concave whereas they can be convex or flat when
filled with oil. Finally, the oil slug, confined in the Plateau border,
fragments into droplets following a film breakup.


title: A relative Szemer\'edi theorem

abstract:
  The celebrated Green-Tao theorem states that there are arbitrarily long
arithmetic progressions in the primes. One of the main ingredients in their
proof is a relative Szemer\'edi theorem which says that any subset of a
pseudorandom set of integers of positive relative density contains long
arithmetic progressions.
  In this paper, we give a simple proof of a strengthening of the relative
Szemer\'edi theorem, showing that a much weaker pseudorandomness condition is
sufficient. Our strengthened version can be applied to give the first relative
Szemer\'edi theorem for $k$-term arithmetic progressions in pseudorandom
subsets of $\mathbb{Z}_N$ of density $N^{-c_k}$.
  The key component in our proof is an extension of the regularity method to
sparse pseudorandom hypergraphs, which we believe to be interesting in its own
right. From this we derive a relative extension of the hypergraph removal
lemma. This is a strengthening of an earlier theorem used by Tao in his proof
that the Gaussian primes contain arbitrarily shaped constellations and, by
standard arguments, allows us to deduce the relative Szemer\'edi theorem.


title: Why is the Moon synchronously rotating?

abstract:
  If the Moon's spin evolved from faster prograde rates, it could have been
captured into a higher spin-orbit resonance than the current 1:1 resonance. At
the current value of orbital eccentricity, the probability of capture into the
3:2 resonance is as high as 0.6, but it strongly depends on the temperature and
average viscosity of the Moon's interior. A warmer, less viscous Moon on a
higher-eccentricity orbit is even more easily captured into supersynchronous
resonances. We discuss two likely scenarios for the present spin-orbit state: a
cold Moon on a low-eccentricity orbit and a retrograde initial rotation.


title:
The model of closed-loop control by thermostats: properties and
  numerical simulations

abstract:
  A closed-loop control of a reaction-diffusion type process is introduced. The
control system consist of a finite number of control and measurement devices.
The measurement devices collect information about the current state of the
process. The control devices influence the process, responding to data obtained
from the measurement devices. Each control device takes into account the data
from all measurement devices. The rule of accounting the data from measurement
devices by a single control device involves defining suitable weights for each
pair of one control device and one measurement device. A weight reflects how
important is a given measurement device to a given control device. The aim of
this control system is to bring the process possibly close to a user defined
reference state or trajectory.
  We are interested in a situation where the user can adjust the control system
by choice of the control and measurement devices and the weights. For this
reason, one of the aims of the preset work is to study the behavior under
perturbations of these elements for the mathematical model realizing the above
control concept. Moreover, we formulate and justify results concerning
existence and uniqueness of solutions of the investigated model. Finally,
numerical prototypes illustrating properties of the model are presented.


title: On conjectures of Sato-Tate and Bruinier-Kohnen

abstract:
  This article covers three topics. (1) It establishes links between the
density of certain subsets of the set of primes and related subsets of the set
of natural numbers. (2) It extends previous results on a conjecture of Bruinier
and Kohnen in three ways: the CM-case is included; under the assumption of the
same error term as in previous work one obtains the result in terms of natural
density instead of Dedekind-Dirichlet density; the latter type of density can
already be achieved by an error term like in the prime number theorem. (3) It
also provides a complete proof of Sato-Tate equidistribution for CM modular
forms with an error term similar to that in the prime number theorem.


title: The time of bootstrap percolation in two dimensions

abstract:
  We study the distribution of the percolation time $T$ of two-neighbour
bootstrap percolation on $[n]^2$ with initial set $A\sim\mathrm{Bin}([n]^2,p)$.
We determine $T$ with high probability up to a constant factor for all $p$
above the critical probability for percolation, and to within a $1+o(1)$ factor
for a large range of $p$.


title:
A Bayesian localised conditional auto-regressive model for estimating
  the health effects of air pollution

abstract:
  Estimation of the long-term health effects of air pollution is a challenging
task, especially when modelling small-area disease incidence data in an
ecological study design. The challenge comes from the unobserved underlying
spatial correlation structure in these data, which is accounted for using
random effects modelled by a globally smooth conditional autoregressive model.
These smooth random effects confound the effects of air pollution, which are
also globally smooth. To avoid this collinearity a Bayesian localised
conditional autoregressive model is developed for the random effects. This
localised model is flexible spatially, in the sense that it is not only able to
model step changes in the random effects surface, but also is able to capture
areas of spatial smoothness in the study region. This methodological
development allows us to improve the estimation performance of the covariate
effects, compared to using traditional conditional auto-regressive models.
These results are established using a simulation study, and are then
illustrated with our motivating study on air pollution and respiratory ill
health in Greater Glasgow, Scotland in 2010. The model shows substantial health
effects of particulate matter air pollution and income deprivation, whose
effects have been consistently attenuated by the currently available globally
smooth models.


title: Charged black hole with a scalar hair in (2+1) dimensions

abstract:
  We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in
$(2+1)$ dimensions, in which the scalar field couples to gravity in a
non-minimal way, and it also couples to itself with the self-interacting
potential solely determined by the metric ansatz. A negative cosmological
constant naturally emerges as a constant term in the scalar potential. The
metric is static and circularly symmetric, and contains a curvature singularity
at the origin. The conditions for the metric to contain 0, 1, 2 horizons are
identified, and the effects of the scalar and electric charges on the size of
the black hole radius are discussed. Under proper choices of parameters, the
metric degenerates into some previously known solutions in $(2+1)$-dimensional
gravity.


title: Dilepton Measurements at STAR

abstract:
  In the study of hot and dense nuclear matter, created in relativistic
heavy-ion collisions, dilepton measurements play an essential role. Leptons,
when compared to hadrons, have only little interaction with the strongly
interacting system. Thus, dileptons provide ideal penetrating probes that allow
the study of such a system throughout its space-time evolution. In the low mass
range ($M_{ll}<1.1$ GeV/$c^2$), the dominant source of dileptons originates
from the decay of vector mesons which may see effects from chiral symmetry
restoration. In the intermediate mass range ($1.1<M_{ll}<3.0 $ GeV/$c^2$), the
main contributions to the mass spectrum are expected to originate from the
thermal radiation of a quark-gluon plasma as well as the decays of charm
mesons. In the high mass range ($M_{ll}>3.0$ GeV/$c^2$), dilepton measurements
are expected to see contributions from primordial processes involving heavy
quarks, and Drell-Yan production.
  With the introduction of the Time-of-Flight detector, the STAR detector has
been able to perform large acceptance, high purity electron identification. In
this contribution, we will present STAR's recent dielectron measurements in the
low and intermediate mass range for RHIC beam energies ranging between 19.6 and
200 GeV. Compared to electrons, muon measurements have the advantage of reduced
bremsstrahlung radiation in the surrounding detector materials. With the
upcoming detector upgrades, specifically the muon detector (MTD), STAR will be
able to include such measurements in its (di-)lepton studies. We will discuss
the future dilepton program at STAR and the physics cases for these upgrades.


title:
A Lagrangian perspective on the stability of ideal MHD equilibria with
  flow

abstract:
  We take a careful look at two approaches to deriving stability criteria for
ideal MHD equilibria. One is based on a tedious analysis of the linearized
equations of motion, while the other examines the second variation of the MHD
Hamiltonian computed with proper variational constraints. For equilibria
without flow, the two approaches are known to be fully consistent. However, for
equilibria with flow, the stability criterion obtained from the constrained
variation approach was claimed to be stronger than that derived using the
linearized equations of motion. We show this claim is incorrect by deriving and
comparing both criteria within the same framework. It turns out that the
criterion obtained from the constrained variation approach has stricter
requirements on the initial perturbations than the other. Such requirements
naturally emerge in our new treatment of the constrained variation approach
using the Euler-Poincar\'e structure of ideal MHD, which is more direct and
simple than the previous derivation from the Poisson perspective.


title:
JD6 - The Connection between Radio Properties and High Energy Emission
  in AGNs

abstract:
  While observations in the radio band are providing essential information on
the innermost structures of relativistic jets in active galactic nuclei (AGN),
the recent detection by Fermi of gamma-ray emission from many hundreds of
blazars shows that the maximum jet power is emitted at high energies.
Multi-wavelength monitoring observations further allow variability studies of
the AGN spectral energy distributions over 13 orders of magnitude in frequency.
The Joint Discussion offered the possibility for a comprehensive discussion of
advances in the observational domain and stimulated theoretical discussion
about our current understanding of jet physics.


title:
The zero-temperature random-field Ising model on a bi-layered Bethe
  lattice

abstract:
  The zero-temperature random-field Ising model is solved analytically for
magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms
of infinite avalanches which are observed for small values of disorder are
established. The effects of variable inter-layer interaction strengths on
infinite avalanches are investigated. The spin-field correlation length is
calculated and its critical behaviour is discussed. Direct Monte-Carlo
simulations of spin-flip dynamics are shown to support the analytical findings.
We find, paradoxically, that a reduction of the inter-layer bond strength can
cause a phase transition from a regime with continuous magnetisation reversal
to a regime where magnetisation exhibits a discontinuity associated with an
infinite avalanche. This effect is understood in terms of the proposed
mechanisms for the infinite avalanche.


title: Notes on holonomy matrices of hyperbolic 3-manifolds with cusps

abstract:
  In this paper, we give a method to construct holonomy matrices of hyperbolic
3-manifolds by extending the known method of hyperbolic 2-manifolds. It enables
us to consider hyperbolic 3-manifolds with nontrivial holonomies. We apply our
method to an ideal tetrahedron and succeed in making the holonomies nontrivial.
We also derive the partition function of the ideal tetrahedron with nontrivial
holonomies by using the duality proposed by Dimofte, Gaiotto and Gukov.


title: Uniqueness of Rankin-Selberg products

abstract:
  In the present paper, we show the equality of the $\gamma$-factors defined by
Jacquet, Piatetski-Shapiro and Shalika with those obtained via the
Langlands-Shahidi method. Our results are new in the case of positive
characteristic, where we establish a refined version of the local-global
principle for ${\rm GL}_n$ which has independent interest. In characteristic
zero, the results are due to Shahidi. The comparison of $\gamma$-factors is
made via a uniqueness result for Rankin-Selberg $\gamma$-factors.


title:
The characteristic shape of emission profiles of plasma spokes in
  HiPIMS: the role of secondary electrons

abstract:
  A time resolved analysis of the emission of HiPIMS plasmas reveals
inhomogeneities in the form of rotating spokes. The shape of these spokes is
very characteristic depending on the target material. The localized enhanced
light emission has been correlated with the ion production. Based on these
data, the peculiar shape of the emission profiles can be explained by the
localized generation of secondary electrons, resulting in an energetic electron
pressure exceeding the magnetic pressure. This general picture is able to
explain the observed emission profile for different target materials including
gas rarefaction and second ionization potential of the sputtered elements.


title: Wild Wall Crossing and BPS Giants

abstract:
  We show that the BPS spectrum of pure SU(3) four-dimensional super Yang-Mills
with N=2 supersymmetry exhibits a surprising phenomenon: there are regions of
the Coulomb branch where the growth of the BPS degeneracies with the charge is
exponential. We show this using spectral networks and independently using
wall-crossing formulae and quiver methods. The computations using spectral
networks provide a very nontrivial example of how these networks determine the
four-dimensional BPS spectrum. We comment on some physical implications of the
wild spectrum: for example, exponentially many field-theoretic BPS states with
large charge are gigantic. Finally, we exhibit some surprising, thus far
unexplained, regularities of the BPS spectrum.


title: Multiobjective optimization in integrated photonics design

abstract:
  We propose the use of the parallel tabu search algorithm (PTS) to solve
combinatorial inverse design problems in integrated photonics. To assess the
potential of this algorithm, we consider the problem of beam shaping using a
two-dimensional arrangement of dielectric scatterers. The performance of PTS is
compared to one of the most widely used optimization algorithms in photonics
design, the genetic algorithm (GA). We find that PTS can produce comparable or
better solutions than the GA, while requiring less computation time and fewer
adjustable parameters. For the coherent beam shaping problem as a case study,
we demonstrate how PTS can tackle multiobjective optimization problems and
represent a robust and efficient alternative to GA.


title:
Spin orders in the supersolid phases in binary Rydberg-dressed
  Bose-Einstein condensates

abstract:
  We show that the five possible ordered states in a quantum spin-1/2 system
with long-range exchange interactions: Neel, ladder, Peierls, coincidence, and
domain states, can be realized in a binary Rydberg-dressed BEC system in the
supersolid phase. In such a system, blockade phenomenon is shown to also occur
for pairs of different excited-state atoms, which results in similar intra- and
inter-species long-range interactions between ground-state atoms. It suggests
that a pseudo spin-1/2 system can be possibly formed in the ground state of
ultracold rudibium.


title:
Polyhomog\'en\'eit\'e des m\'etriques asymptotiquement hyperboliques
  complexes le long du flot de Ricci

abstract:
  We show that the polyhomogeneity at infinity of an asymptotically complex
hyperbolic metric is preserved along the Ricci-DeTurck flow. Moreover, if the
initial metric is `smooth up to the boundary', this will be preserved by the
Ricci-DeTurck flow and the normalized Ricci flow. When the initial metric is
K\"ahler, sharper results are obtained in terms of a potential.


title:
Using shortcut to adiabatic passage for the ultrafast quantum state
  transfer in cavity QED system

abstract:
  We propose an alternative scheme to implement the quantum state transfer
between two three-level atoms based on the invariant-based inverse engineering
in cavity quantum electronic dynamics (QED) system. The quantum information can
be ultrafast transferred between the atoms by taking advantage of the cavity
field as a medium for exchanging quantum information speedily. Through
designing the time-dependent laser pulse and atom-cavity coupling, we send the
atoms through the cavity with a short time interval experiencing the two
processes of the invariant dynamics between each atom and the cavity field
simultaneously. Numerical simulation shows that the target state can be
ultrafast populated with a high fidelity even when considering the atomic
spontaneous emission and the photon leakage out of the cavity field. We also
redesign a reasonable Gaussian-type wave form in the atom-cavity coupling for
the realistic experiment operation.


title: Spin pumping and interlayer exchange coupling through palladium

abstract:
  The magnetic behaviour of ultrathin ferromagnetic films deposited on
substrates is strongly affected by the properties of the substrate. We
investigate the spin pumping rate, interlayer exchange coupling and dynamic
exchange coupling between ultrathin ferromagnetic films through palladium, a
non-magnetic substrate that displays strong Stoner enhancement. We find that
the interlayer exchange coupling, both in the static and dynamic versions, is
qualitatively affected by the substrate's Stoner enhancement. For instance, the
oscillatory behavior that is a hallmark property of the RKKY exchange coupling
is strongly suppressed by Stoner enhancement. Although the spin pumping rate of
ferromagnetic films atop palladium is only mildly changed by Stoner enhancement
the change is large enough to be detected experimentally. The qualitative
aspects of our results for palladium are expected to remain valid for any
non-magnetic substrate where Coulomb repulsion is large.


title:
Krull dimension of monomial ideals in polynomial rings with real
  exponents

abstract:
  We develop a new technique for studying monomial ideals in the standard
polynomial rings $A[X_1,\ldots,X_d]$ where $A$ is a commutative ring with
identity. The main idea is to consider induced ideals in the semigroup ring
$R=A[\mathbb{M}^1_{\geq 0}\times\cdots\times\mathbb{M}^d_{\geq 0}]$ where
$\mathbb{M}^1,\ldots,\mathbb{M}^d$ are non-zero additive subgroups of
$\mathbb{R}$. We prove that the set of non-zero finitely generated monomial
ideals in $R$ has the structure of a metric space, and we prove that a version
of Krull dimension for this setting is lower semicontinuous with respect to
this metric space structure. We also show how to use discrete techniques to
study certain monomial ideals in this context.


title:
Spin-Spin Interactions in Massive Gravity and Higher Derivative Gravity
  Theories

abstract:
  We show that, in the weak field limit, at large separations, in sharp
contrast to General Relativity (GR), all massive gravity theories predict
distance-dependent spin alignments for spinning objects. For all separations GR
requires anti-parallel spin orientations with spins pointing along the line
joining the sources. Hence total spin is minimized in GR. On the other hand,
while massive gravity at small separations ($m_gr \le1.62$) gives the same
result as GR, for large separations ($m_gr>1.62$) the spins become parallel to
each other and perpendicular to the line joining the objects. Namely, the
potential energy is minimized when the total spin is maximized in massive
gravity for large separations. We also compute the spin-spin interactions in
quadratic gravity theories and find that while at large separations GR result
is intact, at small separations, spins become perpendicular to the line joining
sources and anti-parallel to each other.


title:
Homogeneous steady states in a granular fluid driven by a stochastic
  bath with friction

abstract:
  The homogeneous state of a granular flow of smooth inelastic hard spheres or
disks described by the Enskog-Boltzmann kinetic equation is analyzed. The
granular gas is fluidized by the presence of a random force and a drag force.
The combined action of both forces, that act homogeneously on the granular gas,
tries to mimic the interaction of the set of particles with a surrounding
fluid. The first stochastic force thermalizes the system, providing for the
necessary energy recovery to keep the system in its gas state at all times,
whereas the second force allows us to mimic the action of the surrounding fluid
viscosity. After a transient regime, the gas reaches a steady state
characterized by a \emph{scaled} distribution function $\varphi$ that does not
only depend on the dimensionless velocity $\mathbf{c}\equiv \mathbf{v}/v_0$
($v_0$ being the thermal velocity) but also on the dimensionless driving force
parameters. The dependence of $\varphi$ and its first relevant velocity moments
$a_2$ and $a_3$ (which measure non-Gaussian properties of $\varphi$) on both
the coefficient of restitution $\al$ and the driven parameters is widely
investigated by means of the direct simulation Monte Carlo method. In addition,
approximate forms for $a_2$ and $a_3$ are also derived from an expansion of
$\varphi$ in Sonine polynomials. The theoretical expressions of the above
Sonine coefficients agree well with simulation data, even for quite small
values of $\alpha$. Moreover, the third order expansion of the distribution
function makes a significant accuracy improvement for larger velocities and
inelasticities. Results also show that the non-Gaussian corrections to the
distribution function $\varphi$ are smaller than those observed for undriven
granular gases.


title: Exploiting lens aberrations to create electron vortex beams

abstract:
  A model for a new electron vortex beam production method is proposed and
experimentally demonstrated. The technique calls on the controlled manipulation
of the degrees of freedom of the lens aberrations to achieve a helical phase
front. These degrees of freedom are accessible by using the corrector lenses of
a transmission electron microscope. The vortex beam is produced through a
particular alignment of these lenses into a specifically designed astigmatic
state and applying an annular aperture in the condensor plane. Experimental
results are found to be in good agreement with simulations.


title:
Loss-resilient Coding of Texture and Depth for Free-viewpoint Video
  Conferencing

abstract:
  Free-viewpoint video conferencing allows a participant to observe the remote
3D scene from any freely chosen viewpoint. An intermediate virtual viewpoint
image is commonly synthesized using two pairs of transmitted texture and depth
maps from two neighboring captured viewpoints via depth-image-based rendering
(DIBR). To maintain high quality of synthesized images, it is imperative to
contain the adverse effects of network packet losses that may arise during
texture and depth video transmission. Towards this end, we develop an
integrated approach that exploits the representation redundancy inherent in the
multiple streamed videos a voxel in the 3D scene visible to two captured views
is sampled and coded twice in the two views. In particular, at the receiver we
first develop an error concealment strategy that adaptively blends
corresponding pixels in the two captured views during DIBR, so that pixels from
the more reliable transmitted view are weighted more heavily. We then couple it
with a sender-side optimization of reference picture selection (RPS) during
real-time video coding, so that blocks containing samples of voxels that are
visible in both views are more error-resiliently coded in one view only, given
adaptive blending will erase errors in the other view. Further, synthesized
view distortion sensitivities to texture versus depth errors are analyzed, so
that relative importance of texture and depth code blocks can be computed for
system-wide RPS optimization. Experimental results show that the proposed
scheme can outperform the use of a traditional feedback channel by up to 0.82
dB on average at 8% packet loss rate, and by as much as 3 dB for particular
frames.


title: A four-dimensional potential energy surface for the He - HCN complex

abstract:
  A four-dimensional potential energy surface for the interaction between He
and HCN with vibrational bending is presented. Ab initio calculations were
carried out at the coupled-cluster level with single and double excitations and
a perturbative treatment of triple excitations, using a quadruple-zeta basis
set and mid-bond functions. An accurate fit to the Ab-initio data has been
obtained with a parametrized functional form. The global minimum is found in
the linear He-HCN configuration with the H atom pointing towards Helium at the
intermolecular separation of 7.94 a0. The corresponding well depth is 30.35
cm^-1 . The quality of the new potential has been tested by performing two
comparisons with previous theoretical and experimental works. First, the
rovibrational energy levels of the He-HCN complex for a linear configuration of
the HCN molecule have been calculated. The dissociation energy is 8.99 cm^-1,
which is slightly smaller than the semi-empirical value of 9.42 cm^-1 . The
transitions frequencies are found to be in good agreement with the experimental
data. Second, we performed close coupling calculations of the rotational
de-excitation of HCN in collisions with He and observed a close similarity with
the theoretical data published in a recent study.


title:
Relativistic descriptions of final-state interactions in charged-current
  neutrino-nucleus scattering at ArgoNeuT kinematics

abstract:
  The analysis of the recent charged-current neutrino-nucleus scattering cross
sections measured by the ArgoNeuT Collaboration requires relativistic
theoretical descriptions also accounting for the role of final-state
interactions. In this work, we evaluate differential neutrino-nucleus cross
sections with the relativistic Green's function model, where final-state
interactions are described in the inclusive scattering consistently with the
exclusive scattering using a complex optical potential. The sensitivity to the
parameterization adopted for the phenomenological optical potential is
discussed. The predictions of the relativistic Green's function model are
compared with the results of different descriptions of final-state
interactions.


title:
Superconducting anisotropy in the electron-doped high-T$_{c}$
  superconductors Pr$_{2-x}$Ce$_{x}$CuO$_{4-y}$

abstract:
  We report superconducting anisotropy measurements in the electron-doped
high-$T_{c}$ superconductors (HTSCs) Pr$_{2-x}$Ce$_{x}$CuO$_{4-y}$ (PCCO, $x$ =
0.15 and 0.17) with applied magnetic field ($H_{0}$) up to 28 T. Our results
show that the upper critical field [$H_{c2}(T)$] is highly anisotropic, and as
temperature $T$ $\rightarrow$ 0 the value of it at $H_{0}$ $\parallel$ $c$
[$H_{c2,\parallel c}$(0)] is far less than the Pauli limit, which is very
different from that at $H_{0}$ $\perp$ $c$. The $H_{c2}(0)$ character along
with the evaluated zero $T$ coherence length $[\xi_{ab(c)}(0)]$ and penetration
depth $[\lambda_{ab(c)}(0)]$ is compared with those of the hole-doped cuprate
HTSCs and typical Fe-based superconductors. We find that the low temperature
anisotropic character of PCCO is rather similar to that of hole-doped cuprate
HTSCs, but apparently larger than that of typical Fe-based superconductors.
This study also proves a new sensitive probe of detecting rich properties of
unconventional superconductors with the use of the resonant frequency of a NMR
probe circuit.


title: A game-theoretic analysis of baccara chemin de fer

abstract:
  Assuming that cards are dealt with replacement from a single deck and that
each of Player and Banker sees the total of his own two-card hand but not its
composition, baccara is a 2 x 2^88 matrix game, which was solved by Kemeny and
Snell in 1957. Assuming that cards are dealt without replacement from a d-deck
shoe and that Banker sees the composition of his own two-card hand while Player
sees only his own total, baccara is a 2 x 2^484 matrix game, which was solved
by Downton and Lockwood in 1975 for d=1,2,...,8. Assuming that cards are dealt
without replacement from a d-deck shoe and that each of Player and Banker sees
the composition of his own two-card hand, baccara is a 2^5 x 2^484 matrix game,
which is solved herein for every positive integer d.


title: Fourth Moment Theorems for Markov Diffusion Generators

abstract:
  Inspired by the insightful article arXiv:1210.7587, we revisit the
Nualart-Peccati-criterion arXiv:math/0503598 (now known as the Fourth Moment
Theorem) from the point of view of spectral theory of general Markov diffusion
generators. We are not only able to drastically simplify all of its previous
proofs, but also to provide new settings of diffusive generators (Laguerre,
Jacobi) where such a criterion holds. Convergence towards gamma and beta
distributions under moment conditions is also discussed.


title:
Embedded surfaces of arbitrary genus minimizing the Willmore energy
  under isoperimetric constraint

abstract:
  The isoperimetric ratio of an embedded surface in $R^3$ is defined as the
ratio of the area of the surface to power three to the squared enclosed volume.
The aim of the present work is to study the minimization of the Willmore energy
under fixed isoperimetric ratio when the underlying abstract surface has fixed
genus $g\geq 0$. The corresponding problem in the case of spherical surfaces,
i.e. $g=0$, was recently solved by Schygulla with different methods.


title:
Modelling mass distribution in elliptical galaxies: mass profiles and
  their correlation with velocity dispersion profiles

abstract:
  We assemble a statistical set of global mass models for ~2,000 nearly
spherical SDSS galaxies at a mean redshift of 0.12 based on their aperture
velocity dispersions and newly derived luminosity profiles in conjunction with
published velocity dispersion profiles and empirical properties and relations
of galaxy and halo parameters. When two-component (i.e. stellar plus dark) mass
models are fitted to the SDSS aperture velocity dispersions, the predicted
velocity dispersion profile (VP) slopes within the effective radius R_eff match
well the distribution in observed elliptical galaxies. In contrast, the
single-component models cannot reproduce the VP slope distribution. From a
number of input variations the models exhibit for the radial range 0.1 R_eff <
r < R_eff a tight correlation <gamma_e>=(1.865+/-0.008)+(-4.93+/-0.15)<eta>
where <gamma_e> is the mean slope absolute value of the total mass density and
<eta> is the mean slope of the velocity dispersion profile, which leads to a
super-isothermal <gamma_e> = 2.15+/-0.04 for <eta>=-0.058+/-0.008 in observed
elliptical galaxies. Furthermore, the successful two-component models appear to
imply a typical slope curvature pattern in the total mass profile because for
the observed steep luminosity (stellar mass) profile and the weak lensing
inferred halo profile at large radii a total mass profile with monotonically
varying slope would require too high DM density in the optical region giving
rise to too large aperture velocity dispersion and too shallow VP.


title: Tracking rates of random walks

abstract:
  We show that simple random walks on (non-trivial) relatively hyperbolic
groups stay $O(\log(n))$-close to geodesics, where $n$ is the number of steps
of the walk. Using similar techniques we show that simple random walks in
mapping class groups stay $O(\sqrt{n\log(n)})$-close to geodesics and hierarchy
paths. Along the way, we also prove a refinement of the result that mapping
class groups have quadratic divergence.
  An application of our theorem for relatively hyperbolic groups is that random
triangles in non-trivial relatively hyperbolic groups are $O(\log(n))$-thin,
random points have $O(\log(n))$-small Gromov product and that in many cases the
average Dehn function is subasymptotic to the Dehn function.


title: Laplace-Laplace analysis of the fractional Poisson process

abstract:
  We generate the fractional Poisson process by subordinating the standard
Poisson process to the inverse stable subordinator. Our analysis is based on
application of the Laplace transform with respect to both arguments of the
evolving probability densities.


title: Production of exotic hypernuclei and hyper-matter

abstract:
  Pioneering experiments on production of hypernuclei can be performed with
nuclotron beams on fixed targets, and at the future NICA facility. The
peripheral collisions of relativistic ions are very promising for searching
mutli-strange and exotic hypernuclei which are not easy accessible with other
experimental methods. In these experiments one can also get information on the
Equation of State of hyper-matter around nuclear saturation density at low and
moderate temperatures.