title:
Dynamics of an elementary quantum system outside a radiating
  Schwarzschild black hole

abstract:
  We study, in the framework of open quantum systems, the dynamics of a
radially polarizable two-level atom in multi-polar coupling to fluctuating
vacuum electromagnetic fields which is placed at a fixed radial distance
outside a radiating Schwarzschild black hole, and analyze the transition rates
between atomic energy levels and the steady state the atom is driven to. We
find that the atom always thermalizes toward a steady state at an effective
temperature between zero and the Hawking temperature of the black hole.
Remarkably, the thermalization temperature depends on the transition frequency
of the atom, so that atoms with different transition frequencies essentially
thermalize to different temperatures. This counter-intuitive behavior is
however in close analogy to what happens for a two-level atom in a stationary
environment out of thermal equilibrium near a dielectric body of certain
geometry and dielectric permittivity. Our results thereby suggest in principle
a possible analogue system using engineered materials with certain desired
dielectric properties to verify features of Hawking radiation in lab-top
experiments.


title:
Gluon Helicity Delta G from a Universality Class of Operators on a
  Lattice

abstract:
  We show that the total gluon helicity $\Delta G$ in a polarized nucleon can
be calculated on a Euclidean lattice through a universality class of QCD
operators that describe the helicity or polarization of the onshell gluon
radiation. We in particular find some operators whose matrix elements in a
nucleon of momentum $P^z$ are directly related to $\Delta G$ with only
power-law $(1/P^z)^n (n\ge 2)$ corrections.


title:
Dimensional contraction in Wasserstein distance for diffusion semigroups
  on a Riemannian manifold

abstract:
  We prove a refined contraction inequality for diffusion semigroups with
respect to the Wasserstein distance on a compact Riemannian manifold taking
account of the dimension. The result generalizes in a Riemannian context, the
dimensional contraction established in [BGG13] for the Euclidean heat equation.
It is proved by using a dimensional coercive estimate for the Hodge-de Rham
semigroup on 1-forms.


title:
A numerical lower bound for the spectral radius of random walks on
  surface groups

abstract:
  Estimating numerically the spectral radius of a random walk on a nonamenable
graph is complicated, since the cardinality of balls grows exponentially fast
with the radius. We propose an algorithm to get a bound from below for this
spectral radius in Cayley graphs with finitely many cone types (including for
instance hyperbolic groups). In the genus $2$ surface group, it improves by an
order of magnitude the previous best bound, due to Bartholdi.


title: An invariance principle under the total variation distance

abstract:
  Let $X_1,X_2,\ldots$ be a sequence of i.i.d. random variables, with mean zero
and variance one. Let $W_n=(X_1+\ldots+X_n)/\sqrt{n}$. An old and celebrated
result of Prohorov asserts that $W_n$ converges in total variation to the
standard Gaussian distribution if and only if $W_{n_0}$ has an absolutely
continuous component for some $n_0$. In the present paper, we give yet another
proof and extend Prohorov's theorem to a situation where, instead of $W_n$, we
consider more generally a sequence of homogoneous polynomials in the $X_i$.
More precisely, we exhibit conditions for a recent invariance principle proved
by Mossel, O'Donnel and Oleszkiewicz to hold under the total variation
distance. There are many works about CLT under various metrics in the
literature, but the present one seems to be the first attempt to deal with
homogeneous polynomials in the $X_i$ with degree strictly greater than one.


title: Quantum contextual finite geometries from dessins d'enfants

abstract:
  We point out an explicit connection between graphs drawn on compact Riemann
surfaces defined over the field $\bar{\mathbb{Q}}$ of algebraic numbers ---
so-called Grothendieck's {\it dessins d'enfants} --- and a wealth of
distinguished point-line configurations. These include simplices,
cross-polytopes, several notable projective configurations, a number of
multipartite graphs and some 'exotic' geometries. Among them, remarkably, we
find not only those underlying Mermin's magic square and magic pentagram, but
also those related to the geometry of two- and three-qubit Pauli groups. Of
particular interest is the occurrence of all the three types of slim
generalized quadrangles, namely GQ(2,1), GQ(2,2) and GQ(2,4), and a couple of
closely related graphs, namely the Schl\"{a}fli and Clebsch ones. These
findings seem to indicate that {\it dessins d'enfants} may provide us with a
new powerful tool for gaining deeper insight into the nature of
finite-dimensional Hilbert spaces and their associated groups, with a special
emphasis on contextuality.


title: Composition operators on generalized Hardy spaces

abstract:
  Let $\Omega_1,\Omega_2\subset {\mathbb C}$ be bounded domains. Let
$\phi:\Omega_1\rightarrow \Omega_2$ holomorphic in $\Omega_1$ and belonging to
$W^{1,\infty}_{\Omega_2}(\Omega_1)$. We study the composition operators
$f\mapsto f\circ\phi$ on generalized Hardy spaces on $\Omega_2$, recently
considered in \cite{bfl, BLRR}. In particular, we provide necessary and/or
sufficient conditions on $\phi$, depending on the geometry of the domains,
ensuring that these operators are bounded, invertible, isometric or compact.
Some of our results are new even for Hardy spaces of analytic functions.


title:
Non-perturbative Renormalization of Bilinear Operators with Improved
  Staggered Quarks

abstract:
  We present renormalization factors for the bilinear operators obtained using
the non-perturbative renormalization method (NPR) in the RI-MOM scheme with
improved staggered fermions on the MILC asqtad lattices ($N_f = 2+1$). We use
the MILC coarse ensembles with $20^3 \times 64$ geometry and $am_{\ell}/am_s =
0.01/0.05$. We obtain the wave function renormalization factor $Z_q$ from the
conserved vector current and the mass renormalization factor $Z_m$ from the
scalar bilinear operator. We also present preliminary results of
renormalization factors for other bilinear operators.


title: Ear-Phone: A Context-Aware Noise Mapping using Smart Phones

abstract:
  A noise map facilitates the monitoring of environmental noise pollution in
urban areas. However, state-of-the-art techniques for rendering noise maps in
urban areas are expensive and rarely updated, as they rely on population and
traffic models rather than on real data. Smart phone based urban sensing can be
leveraged to create an open and inexpensive platform for rendering up-to- date
noise maps. In this paper, we present the design, implementation and
performance evaluation of an end-to-end, context-aware, noise mapping system
called Ear-Phone. Ear-Phone investigates the use of different interpolation and
regularization methods to address the fundamental problem of recovering the
noise map from incomplete and random samples obtained by crowdsourcing data
collection. Ear-Phone, implemented on Nokia N95, N97 and HP iPAQ, HTC One
mobile devices, also addresses the challenge of collecting accurate noise
pollution readings at a mobile device. A major challenge of using smart phones
as sensors is that even at the same location, the sensor reading may vary
depending on the phone orientation and user context (for example, whether the
user is carrying the phone in a bag or holding it in her palm). To address this
problem, Ear-Phone leverages context-aware sensing. We develop classifiers to
accurately determine the phone sensing context. Upon context discovery,
Ear-Phone automatically decides whether to sense or not. Ear-phone also
implements in-situ calibration which performs simple calibration that can be
carried out without any technical skills whatsoever required on the user's
part. Extensive simulations and outdoor experiments demonstrate that Ear-Phone
is a feasible platform to assess noise pollution, incurring reasonable system
resource consumption at mobile devices and providing high reconstruction
accuracy of the noise map.


abstract:
  In 1999, Kauffman-Harary conjectured that every non-trivial Fox $p$-coloring
of a reduced, alternating knot diagram with prime determinant $p$ is
heterogeneous. Ten years later this conjecture was proved by W. Mattman and P.
Solis. Mathew Williamson generalized this conjecture to alternating virtual
knots and proved it for certain families of virtual knots. In the present note,
we use the methods of W. Mattman and P. Solis to give an affirmative answer to
the Kauffman-Harary conjecture for alternating virtual knots.


title: Topologically stable gapped state in a layered superconductor

abstract:
  We show that a layered superconductor, described by a two-component order
parameter, has a gapped state above the ground state, topologically protected
from decay, containing flow and counter flow in the absence of an applied
magnetic field. This state is made of skyrmions, breaks time reversal symmetry
and produces a weak local magnetic field below the present threshold of
detection by $\mu$SR and NMR/NQR. We estimate the density of carriers that
condense into the pseudogap.


title:
High-Temperature Superconductors Explained by Pairing in Spin-Density
  Waves

abstract:
  The spin-density wave (SDW) can be considered as a pair of charge density
waves (CDWs), one composed only of electrons with up-spins and the other only
of electrons with down-spins. The high-temperature superconductivity found in
cuprates and pnictides may then be ascribed to BCS-type pairing between these
SDWs, which is then no longer simple Cooper pairing between independent singlet
electrons but rather involves collective interaction between Cooper pairs. The
pseudo-gap may also be understood to originate from this BCS-type gap of the
CDW system, in which the parameters are identical to those in the original BCS
scheme, except that the electron-electron interaction is multiplied by a factor
NCDW, which represents the number of electrons of the same spin direction that
belong to a single CDW branch that comprises half the SDW. The superconducting
gap then becomes an s dx2-y2-type gap. This gap may be calculated by assuming a
modified BCS-like scheme that takes into account the contributions of the CDWs.
These CDWs may be driven spatially into a checkerboard-shaped (or striped) form
of superconductivity, depending on whether the CDW is two- or one-dimensional.
The origin of the nodal gap may also be ascribed to the CDWs.


title: Probing Light Higgsinos in Natural SUSY from Monojet Signals at the LHC

abstract:
  We investigate a strategy to search for light, nearly degenerate higgsinos
within the natural MSSM at the LHC. We demonstrate that the higgsino mass range
$\mu$ in $100-150$ GeV, which is preferred by the naturalness, can be probed at
$2\sigma$ significance through the monojet search at 14 TeV HL-LHC with 3000
fb$^{-1}$ luminosity. The proposed method can also probe certain region in the
parameter space for the lightest neutralino with a high higgsino purity, that
cannot be reached by planned direct detection experiments at XENON-1T(2017).


title:
Nonequilibrium steady states of the electric-field-driven Mott
  insulator: Thermalization, emergent Wannier-Stark ladder, and dielectric
  breakdown

abstract:
  In this work, we explore the possibility of emergent nonequilibrium steady
states arising from the electric-field-driven Mott insulator via the
Keldysh-Floquet dynamical mean field theory (DMFT), which can determine the
fully-interacting, nonequilibrium steady-state Green's functions with the
noninteracting counterparts as an input to the DMFT self-consistency loop.
Unlike the retarded component, obtaining the lesser Green's function for the
noninteracting system presents an important obstacle since the thermalization
of the noninteracting system still requires a precise understanding of the
dissipation mechanism. A crucial breakthrough in this work is that the
noninteracting lesser Green's function can be determined in terms of the
Wannier-Stark ladder (WSL) eigenstates, which are thermalized via the standard
canonical ensemble according to the Markovian quantum master equation. As a
result, it is shown that the intricate interplay between strong correlation and
large electric field can generate a sequence of two dielectric breakdowns with
the first induced by a coherent reconstruction of the mid-gap state within the
Mott gap and the second by an incoherent tunneling through the biased Hubbard
bands. It is predicted that the reconstructed mid-gap state generates its own
emergent WSL structure with a reduced effective electric field. The two
dielectric breakdowns are mediated by a reentrant insulating phase, which is
characterized by the population inversion, causing instability toward
inhomogeneous current density states at weak electron-impurity scattering.


title:
Effects of ion mobility and positron fraction on solitary waves in weak
  relativistic electron-positron-ion plasma

abstract:
  Effects of ion mobility and positron fraction on solitary waves of envelop of
laser field and potential of electrostatic field in weak relativistic
electron-positron-ion plasma are investigated. The parameter region for the
existence of solitary waves is obtained analytically, and the reasonable choice
of parameters is clarified. Both cases of mobile and immobile ions are
considered. It is found that the amplitudes of solitary waves in the former
case are larger compared to the latter case. For small plasma density, the
localized solitary wave solutions in terms of approximate perturbation
analytical method are consistent well with that by exact numerical
calculations. However as the plasma density increases the analytical method
loses its validity more and more. The influence of the positron fraction on the
amplitudes of solitary waves shows a monotonous increasing relation.
Implication of our results to the particle acceleration is also discussed
briefly.


title:
Combined large spin-splitting and one dimensional confinement in surface
  alloys

abstract:
  We have found and characterized by angle-resolved photoelectron spectroscopy
(ARPES) quasi-one dimensional spin-split states in chain-like surface alloys
formed by large Z elements (Bi and Pb) at the Cu(110) surface. The ARPES
results are supported by first-principles relativistic calculations, which also
confirm the spin polarization of these states, characteristic of the
Rashba-Bychkov effect. The Fermi surface contours are open, but warped, as a
result of the interaction with the bulk Cu conduction band. This interaction
introduces a k dependence of the spin splitting perpendicular to the chains
direction. We have also investigated the influence of the atomic spin-orbit
parameter in substitutional isostructural Bi_{1-x}Pb_{x} overlayers, and found
that the magnitude of the spin splitting can be continuously tuned as a
function of stoichiometry.


title: Horizon Run 3: Topology as a Standard Ruler

abstract:
  We study the Physically Self Bound Cold Dark Matter Halo distribution which
we associate with the massive galaxies within the Horizon Run 3 to estimate the
accuracy in determination of the cosmological distance scale measured by the
topology analysis. We apply the routine "Contour 3D" to 108 Mock Survey of
$\pi$ steradians out to redshift z = 0.6, which effectively correspond to the
SDSS-III BOSS survey, and compare the topology with that of a Gaussian Random
Phase Field. We find that given three separate smoothing lengths $\lambda =$
15, 21, and 34 $h^{-1}{\rm Mpc}$, the least $\chi^2$ fit genus per unit volume
g yields a 1.7 % fractional uncertainty in smoothing length and angular
diameter distance to $z = 0.6$. This is an improvement upon former calibrations
of and presents a competitive error estimate with next BAO scale techniques. We
also present three dimensional graphics of the Horizon Run 3 spherical mock
survey to show a wealth of large-scale structures of the universe that are
predicted in surveys like BOSS.


title:
Evidence of reduced surface electron-phonon scattering in the conduction
  band of Bi_{2}Se_{3} by non-equilibrium ARPES

abstract:
  The nature of the Dirac quasiparticles in topological insulators calls for a
direct investigation of the electron-phonon scattering at the \emph{surface}.
By comparing time-resolved ARPES measurements of the TI Bi_{2}Se_{3} with
different probing depths we show that the relaxation dynamics of the electronic
temperature of the conduction band is much slower at the surface than in the
bulk. This observation suggests that surface phonons are less effective in
cooling the electron gas in the conduction band.


title: Periodicity in some light curves of the solar analogue V352 CMa

abstract:
  Our aim was to study the light curve periodicity of the solar analogue V352
CMa and in particular show that the presence or absence of periodicity in low
amplitude light curves can be modelled with the Continuous Period Search (CPS)
method. We applied the CPS method to 14 years of V-band photometry of V352 CMa
and obtained estimates for the mean, amplitude, period and minima of the light
curves in the selected datasets. We also applied the Power Spectrum Method
(PSM) to these datasets and compared the performance of this frequently applied
method to that of CPS. We detected signs of a $11.7 \pm 0.5$ year cycle in in
the mean brightness. The long-term average photometric rotation period was
$7.24 \pm 0.22$ days. The lower limit for the differential rotation coefficient
would be $|k| > 0.12$, if the law of solar surface differential rotation were
valid for V352 CMa and the period changes traced this phenomenon. Signs of
stable active longitudes rotating with a period of $7.157 \pm 0.002$ days were
detected from the epochs of the light minima with the Kuiper method. CPS
performed better than the traditional PSM, because the latter always used a
sinusoidal model for the data even when this was clearly not the correct model.


title:
Implementation of sub-nanoseconds TDC in FPGA: applications to
  time-of-flight analysis in muon radiography

abstract:
  Time-of-flight (tof) techniques are standard techniques in high energy
physics to determine particles propagation directions. Since particles
velocities are generally close to c, the speed of light, and detectors typical
dimensions at the meter level, the state-of-the-art tof techniques should reach
sub-nanosecond timing resolution. Among the various techniques already
available, the recently developed ring oscillator TDC ones, implemented in low
cost FPGA, feature a very interesting figure of merit since a very good timing
performance may be achieved with limited processing ressources. This issue is
relevant for applications where unmanned sensors should have the lowest
possible power consumption. Actually this article describes in details the
application of this kind of tof technique to muon tomography of geological
bodies. Muon tomography aims at measuring density variations and absolute
densities through the detection of atmospheric muons flux's attenuation, due to
the presence of matter. When the measured fluxes become very low, an identified
source of noise comes from backwards propagating particles hitting the detector
in a direction pointing to the geological body. The separation between
through-going and backward-going particles, on the basis of the tof information
is therefore a key parameter for the tomography analysis and subsequent
previsions.


title:
A Nash Equilibrium Need Not Exist in the Locational Marginal Pricing
  Mechanism

abstract:
  Locational marginal pricing (LMP) is a widely employed method for pricing
electricity in the wholesale electricity market. Although it is well known that
the LMP mechanism is vulnerable to market manipulation, there is little
literature providing a systematic analysis of this phenomenon. In the first
part of this paper, we investigate the economic dispatch outcomes of the LMP
mechanism with strategic agents. We show via counterexamples, that contrary to
popular belief, a Nash equilibrium may not exist. And when it exists, the price
of anarchy may be arbitrarily large. We then provide two sufficient conditions
under either of which an efficient Nash equilibria exists. Last, we propose a
new market mechanism for electricity markets, the Power Network Second Price
(PNSP) mechanism that always induces an efficient Nash equilibrium. We briefly
address the extensions on the demand side.


title: Abstract interpretation as anti-refinement

abstract:
  This article shows a correspondence between abstract interpretation of
imperative programs and the refinement calculus: in the refinement calculus, an
abstract interpretation of a program is a specification which is a function.
  This correspondence can be used to guide the design of mechanically verified
static analyses, keeping the correctness proof well separated from the
heuristic parts of the algorithms.


title:
Signal Reconstruction from Rechargeable Wireless Sensor Networks using
  Sparse Random Projections

abstract:
  Due to non-homogeneous spread of sunlight, sensing nodes possess non-uniform
energy budget in recharge- able Wireless Sensor Networks (WSNs). An
energy-aware workload distribution strategy is therefore nec- essary to achieve
good data accuracy subject to energy-neutral operation. Recently proposed
signal approx- imation strategies assume uniform sampling and fail to ensure
energy neutral operation in rechargeable wireless sensor networks. We propose
EAST (Energy Aware Sparse approximation Technique), which ap- proximates a
signal, by adapting sensor node sampling workload according to solar energy
availability. To the best of our knowledge, we are the first to propose sparse
approximation to model energy-aware workload distribution in rechargeable WSNs.
Experimental results, using data from an outdoor WSN deployment suggest that
EAST significantly improves the approximation accuracy offering approximately
50% higher sensor on-time. EAST requires the approximation error to be known
beforehand to determine the number of measure- ments. However, it is not always
possible to decide the accuracy a-priori. We improve EAST and propose EAST+,
which, given only the energy budget of the nodes, computes the optimal number
of measurements subject to the energy neutral operation.


title:
On the velocity averaging for equations with optimal heterogeneous rough
  coefficients

abstract:
  Assume that $(u_n)$ is a sequence of solutions to heterogeneous equations
with rough coefficients and fractional derivatives, weakly converging to zero
in ${\rm L}^p(\R^{d+m})$, with $p>1$.
  We prove that the sequence of averaged quantities $(\int \rho(\my)
u_n(\mx,\my) d\my)$ is strongly precompact in $\Ljl\Rd$ for any $\rho\in
\Cc{\R^m}$, provided that restrictive non-degeneracy conditions are satisfied.
These are fulfilled for elliptic, parabolic, fractional convection-diffusion
equations, as well as for parabolic equations with a fractional time
derivative. The main tool that we are using is an adapted version of
H-distributions. As a consequence of the introduced methods, we obtain an
optimal velocity averaging result in the $\LL p$, $p\geq 2$, framework under
the standard non-degeneracy conditions, as well as a connection between the
H-measures and the H-distributions.


title:
Exploring the faint young Sun problem and the possible climates of the
  Archean Earth with a 3-D GCM

abstract:
  Different solutions have been proposed to solve the "faint young Sun
problem", defined by the fact that the Earth was not fully frozen during the
Archean despite the fainter Sun. Most previous studies were performed with
simple 1-D radiative convective models and did not account well for the clouds
and ice-albedo feedback or the atmospheric and oceanic transport of energy. We
apply a global climate model (GCM) to test the different solutions to the faint
young Sun problem. We explore the effect of greenhouse gases (CO2 and CH4),
atmospheric pressure, cloud droplet size, land distribution, and Earth's
rotation rate. We show that neglecting organic haze, 100 mbar of CO2 with 2
mbar of CH4 at 3.8 Ga and 10 mbar of CO2 with 2 mbar of CH4 at 2.5 Ga allow a
temperate climate (mean surface temperature between 10{\deg}C and 20{\deg}C).
Such amounts of greenhouse gases remain consistent with the geological data.
Removing continents produces a warming lower than +4{\deg}C. The effect of
rotation rate is even more limited. Larger droplets (radii of 17 microns versus
12 microns) and a doubling of the atmospheric pressure produce a similar
warming of around +7{\deg}C. In our model, ice-free water belts can be
maintained up to 25{\deg}N/S with less than 1 mbar of CO2 and no methane. An
interesting cloud feedback appears above cold oceans, stopping the glaciation.
Such a resistance against full glaciation tends to strongly mitigate the faint
young Sun problem.


title: Minimal fields of definition for Galois action

abstract:
  Let $K$ be a field, let $G$ be a finite group, and let $\bar X\rightarrow
\bar Y$ be a $G$-Galois branched cover of varieties over $K^{sep}$. Given a
mere cover model $X\rightarrow Y$ of this cover over $K$, in Part I of this
paper I observe that there is a unique minimal field $E$ over which
$X\rightarrow Y$ becomes Galois, and I prove that $E/K$ is Galois with group a
subgroup of $Aut(G)$. In Part II of this paper, by making the additional
assumption that $K$ is a field of definition (i.e., that there exists \it some
\rm Galois model over $K$), I am able to give an explicit description of the
unique minimal field of Galois action for $X\rightarrow Y$. Namely, if there
exists a $K$-rational point of $X$ above an unramified point $P\in Y(K)$ then
$E$ is contained in the intersection of the specializations at $P$ in the
various different $G$-Galois models of $\bar X\rightarrow \bar Y$ over $K$.
Using the same proof mechanism, I observe a reverse version of "The Twisting
Lemma", which asserts that the behavior of the $K$-rational points on the
various mere cover models over $K$, and the behavior of the specializations on
the various $G$-Galois models over $K$, are all governed by a single
equivalence relation (independent of the model) on the $K$-rational points of
the base variety.


title:
Higher Order Aitken Extrapolation with Application to Converging and
  Diverging Gauss-Seidel Iterations

abstract:
  Aitken extrapolation normally applied to convergent fixed point iteration is
extended to extrapolate the solution of a divergent iteration. In addition,
higher order Aitken extrapolation is introduced that enables successive
decomposition of high Eigen values of the iteration matrix to enable
convergence. While extrapolation of a convergent fixed point iteration using a
geometric series sum is a known form of Aitken acceleration, it is shown in
this paper that the same formula can be used to estimate the solution of sets
of linear equations from diverging Gauss Seidel iterations. In both convergent
and divergent iterations, the ratios of differences among the consecutive
values of iteration eventually form a convergent or divergent series with a
factor equal to the largest Eigen value of the iteration matrix. Higher order
Aitken extrapolation is shown to eliminate the influence of dominant Eigen
values of the iteration matrix in successive order until the iteration is
determined by the lowest possible Eigen value. For the convergent part of the
Gauss Seidel iteration, further acceleration is made possible by coupling of
the extrapolation technique with the successive over relaxation method.
Application examples from both convergent and divergent iterations have been
provided. Coupling of the extrapolation with the successive over relaxation
technique is also illustrated for a steady state two dimensional heat flow
problem which was solved using MATLAB programming.


title: Pullbacks of hermitian Maass lifts

abstract:
  We consider pullbacks of hermitian Maass lifts of degree 2 to the diagonal
matrices. By using the pullbacks, we give an explicit formura for central
values of L-functions for GL(2)*GL(2).


title: Extending Common Intervals Searching from Permutations to Sequences

abstract:
  Common intervals have been defined as a modelisation of gene clusters in
genomes represented either as permutations or as sequences. Whereas optimal
algorithms for finding common intervals in permutations exist even for an
arbitrary number of permutations, in sequences no optimal algorithm has been
proposed yet even for only two sequences. Surprisingly enough, when sequences
are reduced to permutations, the existing algorithms perform far from the
optimum, showing that their performances are not dependent, as they should be,
on the structural complexity of the input sequences.
  In this paper, we propose to characterize the structure of a sequence by the
number $q$ of different dominating orders composing it (called the domination
number), and to use a recent algorithm for permutations in order to devise a
new algorithm for two sequences. Its running time is in
$O(q_1q_2p+q_1n_1+q_2n_2+N)$, where $n_1, n_2$ are the sizes of the two
sequences, $q_1,q_2$ are their respective domination numbers, $p$ is the
alphabet size and $N$ is the number of solutions to output. This algorithm
performs better as $q_1$ and/or $q_2$ reduce, and when the two sequences are
reduced to permutations (i.e. when $q_1=q_2=1$) it has the same running time as
the best algorithms for permutations. It is also the first algorithm for
sequences whose running time involves the parameter size of the solution. As a
counterpart, when $q_1$ and $q_2$ are of $O(n_1)$ and $O(n_2)$ respectively,
the algorithm is less efficient than other approaches.


title:
Approaches to Maintain Bi-connectivity for Resilience in Overlaid
  Multicasting

abstract:
  Application layer multicast (ALM) also called Overlay Multicast, is an
attractive alternative solution to most of the problems associated with IP
multicast. In ALM, multicast-related functionalities are moved to end-hosts.
Application layer multicast builds a peer-to-peer (P2P) overlay topology
consisting of end-to-end unicast connections between end-hosts. The key
advantages, overlays offer, are flexibility, adaptability and ease of
deployment [1]. The general approach to build an application layer multicast
architecture involves tracking network characteristics and building appropriate
topologies by allowing the end users to self organize into logical overlay
networks for efficient data delivery. The major concern in designing ALM
protocol is the mechanism to build and maintain a topology and to route data
efficiently and reliably in this topology. We propose here a two-fold dynamic
overlay tree construction and maintenance scheme in which a mesh-like topology
is first built, where an arriving host connects to two already connected hosts.
This ensures that two node and link disjoint paths are always maintained
between every possible pair of nodes. Once the mesh is formed, on top of it, a
single or multiple data delivery tree(s) are built using a suitable protocol.
An algorithm is run in the nodes of the overlay topology to maintain the
biconnectivity by inserting new links and deleting the redundant links as a
continuous process.


title:
Modulus of surface families and the radial stretch in the Heisenberg
  group

abstract:
  We develop a modulus method for surface families inside a domain in the
Heisenberg group and we prove that the stretch map between two Heisenberg
spherical rings is a minimiser for the mean distortion among the class of
contact quasiconformal maps between these rings which satisfy certain boundary
conditions.


title: On the elusive anti-bayerite structure

abstract:
  Sequential deprotonation of the Cr3+ hexahydrate in an alkaline environment
up to the stage of a charge-neutral active hydroxide was studied via density
functional theory. The deprotonation could be characterized as autocatalytic
since upon completion of every H-abstraction stage, Cr was found to mediate O-H
dissociation in the next stage by pre-conditioning the ligand O atom that
contributes the highest 2s density into Cr-4s based molecular orbitals; the
latter amounts to a greater Cr-O distance due to increased charge density along
the Cr-O axis. A direct effect of such Cr-4s/O-2s mixing is the reduction of
electronegativity of the ligand-O atom and a corresponding high Voronoi
deformation density (VDD) of the attached ligand-H atoms. Based on bonding
energy decomposition, a facial to meridional isomer ratio of between 2:1 and
3:1 was derived as the most probable stereochemical mix of the active
hydroxide; the latter forms, by mutual donation and acceptance, six hydrogen
bonds with second hydration shell molecules.


title: Entanglement Entropy for Logarithmic Conformal Field Theory

abstract:
  We study holographic entanglement entropy for certain logarithmic conformal
field theories by making use of their gravity descriptions. The corresponding
gravity descriptions are provided by higher derivative gravity at critical
points where the equations of motion degenerate leading to a log gravity. When
the central charge of the dual theory is zero, the entanglement entropy has a
new divergent term whose coefficient is given by the new anomaly of the
logarithmic conformal field theory.


title:
Dissipation mechanism above the current threshold in Josephson junction
  chains

abstract:
  We present measurements on one-dimensional Josephson junction arrays formed
by a chain of SQUID loops in the regime where $E_J / E_c\simeq 1$. We observe a
blockaded zero current branch for small bias voltages. Above a certain voltage
$V_\mathrm{sw}$ the $I$-$V$ characteristics changes discontinuously to a
dissipative branch characterized by a flux dependent conductance. Three of four
samples show a pronounced hysteresis for a forward and backward voltage sweep.
We observe a periodic field dependence of the conductance above $V_\mathrm{sw}$
which can be described with $P(E)$ theory for cooper-pairs and therefore gives
evidence of viscous dynamics of Cooper pair transport through the array.


title: Plasmonics in Dirac systems: from graphene to topological insulators

abstract:
  The recent developments in the emerging field of plasmonics in graphene and
other Dirac systems are reviewed and a comprehensive introduction to the
standard models and techniques is given. In particular, we discuss intrinsic
plasmon excitations of single and bilayer graphene via hydrodynamic equations
and the random phase approximation, but also comment on double and multilayer
structures. Additionally, we address Dirac systems in the retardation limit and
also with large spin-orbit coupling including topological insulators. Finally,
we summarize basic properties of the charge, current and photon linear response
functions in an appendix.


title: Enhanced two-photon absorption using true thermal light

abstract:
  Two-photon excited fluorescence (TPEF) is a standard technique in modern
microscopy but still affected by photo-damage of the probe. It was proposed
that TPEF can be enhanced by using entangled photons, but has proven to be
challenging. Recently it was shown that some features of entangled photons can
be mimicked with thermal light, which finds application in ghost imaging,
sub-wavelength lithography and metrology. Here, we utilize true thermal light
from a super-luminescence diode to demonstrate enhanced TPEF compared to
coherent light using two common fluorophores and luminescent quantum dots. We
find that the two-photon absorption rate is directly proportional to the
measured degree of second-order coherence, as predicted by theory. Our results
show that photon bunching can be exploited in two-photon microscopy with the
photon statistic providing a new degree of freedom.


title: Regularity of the local fractional maximal function

abstract:
  This paper studies smoothing properties of the local fractional maximal
operator, which is defined in a proper subdomain of the Euclidean space. We
prove new pointwise estimates for the weak gradient of the maximal function,
which imply norm estimates in Sobolev spaces. An unexpected feature is that
these estimates contain extra terms involving spherical and fractional maximal
functions. Moreover, we construct several explicit examples which show that our
results are essentially optimal. Extensions to metric measure spaces are also
discussed.


title: Finite-dimensional representations for controlled diffusions with delay

abstract:
  We study stochastic delay differential equations (SDDE) where the
coefficients depend on the moving averages of the state process. As a first
contribution, we provide sufficient conditions under which a linear path
functional of the solution of a SDDE admits a finite-dimensional Markovian
representation. As a second contribution, we show how approximate
finite-dimensional Markovian representations may be constructed when these
conditions are not satisfied, and provide an estimate of the error
corresponding to these approximations. These results are applied to optimal
control and optimal stopping problems for stochastic systems with delay.


title:
Transverse Momentum Distributions of Identified Particles in p-Pb
  Collisions at $\mathrm{\sqrt{s_{NN}} = 5.02\ TeV}$

abstract:
  Transverse momentum ($p_{\mathrm{T}}$) distributions of identified hadrons
produced in p-Pb collisions at $\mathrm{\sqrt{s_{NN}} = 5.02\ TeV}$ have been
measured at mid-rapidity (0 $< y_{\mathrm{CMS}} <$ 0.5) by ALICE. Particle
tracks are reconstructed using the central barrel detectors. Particle
identification is performed via specific energy loss, time-of-flight or their
characteristic decay topology over a wide transverse momentum range (0 GeV/c up
to 8 GeV/c).
  Spectral shapes and particle ratios are measured in six multiplicity classes.
They are compared with several model calculations and results from Pb-Pb
collisions at $\mathrm{\sqrt{s_{NN}} = 2.76\ TeV}$ and pp collisions at
$\mathrm{\sqrt{s_{NN}} = 7\ TeV}$ at the LHC. The results are discussed with
respect to possible collective effects in p--Pb collisions.


title:
Adaptive Mode Selection in Multiuser MISO Cognitive Networks with
  Limited Cooperation and Feedback

abstract:
  In this paper, we consider a multiuser MISO downlink cognitive network
coexisting with a primary network. With the purpose of exploiting the spatial
degree of freedom to counteract the inter-network interference and
intra-network (inter-user) interference simultaneously, we propose to perform
zero-forcing beamforming (ZFBF) at the multi-antenna cognitive base station
(BS) based on the instantaneous channel state information (CSI). The challenge
of designing ZFBF in cognitive networks lies in how to obtain the interference
CSI. To solve it, we introduce a limited inter-network cooperation protocol,
namely the quantized CSI conveyance from the primary receiver to the cognitive
BS via purchase. Clearly, the more the feedback amount, the better the
performance, but the higher the feedback cost. In order to achieve a balance
between the performance and feedback cost, we take the maximization of feedback
utility function, defined as the difference of average sum rate and feedback
cost while satisfying the interference constraint, as the optimization
objective, and derive the transmission mode and feedback amount joint
optimization scheme. Moreover, we quantitatively investigate the impact of CSI
feedback delay and obtain the corresponding optimization scheme. Furthermore,
through asymptotic analysis, we present some simple schemes. Finally, numerical
results confirm the effectiveness of our theoretical claims.


title: Generation of correlated photon pairs in micro/nano-fibers

abstract:
  We study the generation of correlated photon pairs via spontaneous four wave
mixing in a 15 cm long micro/nano-fiber (MNF). The MNF is properly fabricated
to satisfy the phase matching condition for generating the signal and idler
photon pairs at the wavelengths of about 1310 and 851 nm, respectively. Photon
counting measurements yield a coincidence-to-accidental ratio of 530 for a
photon production rate of about 0.002 (0.0005) per pulse in the signal (idler)
band. We also analyze the spectral information of the signal photons originated
from the spontaneous four wave mixing and Raman scattering. In addition to
discovering some unique feature of Raman scattering, we find the bandwidth of
the individual signal photons is much greater than the calculated value for the
MNF with homogeneous structure. Our investigations indicate the MNF is a
promising candidate for developing the sources of nonclassical light and the
spectral property of photon pairs can be used to non-invasively test the
diameter and homogeneity of the MNF.


title: A novel weighting scheme for random $k$-SAT

abstract:
  Consider a random $k$-CNF formula $F_{k}(n, rn)$ with $n$ variables and $rn$
clauses. For every truth assignment $\sigma\in \{0, 1\}^{n}$ and every clause
$c=\ell_{1}\vee\cdots\vee\ell_{k}$, let $d=d(\sigma, c)$ be the number of
satisfied literal occurrences in $c$ under $\sigma$. For fixed $\beta>-1$ and
$\lambda>0$, we take $\omega(\sigma, c)=0$, if $d=0$; $\omega(\sigma,
c)=\lambda(1+\beta)$, if $d=1$ and $\omega(\sigma, c)=\lambda^{d}$, if $d>1$.
  Applying the above weighting scheme, we get that if $F_{k}(n, rn)$ is
unsatisfiable with probability tending to one as $n\rightarrow\infty$, then
$r\geq2.83, 8.09, 18.91, 40.81, 84.87$ for $k=3, 4, 5, 6$ and $7,$
respectively.


title:
Radiative symmetry breaking at the Fermi scale and flat potential at the
  Planck scale

abstract:
  We investigate a possibility of the "flatland scenario", in which the
electroweak gauge symmetry is radiatively broken via the Coleman-Weinberg
mechanism starting from a completely flat Higgs potential at the Planck scale.
We show that the flatland scenario is realizable only when an inequality K<1
among the coefficients of the beta-functions is satisfied. We show several
models satisfying the condition.


title: Soft Diffraction and Forward Multiplicity Measurements with TOTEM

abstract:
  A summary of recent TOTEM double diffraction and charged particle
pseudorapidity density results is given, and single diffraction results are
also discussed.


title: Fully-abstract concurrent games for pi

abstract:
  We define a semantics for Milner's pi-calculus, with three main novelties.
First, it provides a fully-abstract model for fair testing equivalence, whereas
previous semantics covered variants of bisimilarity and the may and must
testing equivalences. Second, it is based on reduction semantics, whereas
previous semantics were based on labelled transition systems. Finally, it has a
strong game semantical flavor in the sense of Hyland-Ong and Nickau. Indeed,
our model may both be viewed as an innocent presheaf semantics and as a
concurrent game semantics.


title:
Investigation of positive streamers by double pulse experiments, effects
  of repetition rate and gas

abstract:
  Streamer discharges are often operated in a repetitively pulsed mode and are
therefore influenced by species left over from the previous discharge,
especially free electrons and ions. We have investigated these effects by
applying two consecutive positive high voltage pulses of 200-700 ns duration to
a point plane gap in artificial air, pure nitrogen, other nitrogen-oxygen
mixtures and pure argon at pressures between 67 and 533 mbar. The pulses had
pulse-to-pulse intervals ({\Delta}t) between 200 ns and 40 ms. We imaged both
discharges with two ICCD cameras and combined this to a compound image. We
observe for values of {\Delta}t below 0.5-15 {\mu}s (at 133 mbar, depending on
gas mixture) that during the second pulse the streamers continue the paths of
the first-pulse streamers. We call the maximal time for which this continuation
still occurs the continuation time. For N$_{2}$ - O$_{2}$ mixtures, this time
has a maximum at an oxygen concentration of about 0.2%. According to our plasma
chemical modelling this maximum is determined by the electron loss rate which
has a minimum around this oxygen concentration. Depending on oxygen
concentration the dominant recombining positive ion is N$_{4}^{+}$, O$_2^+$ or
O$_{4}^{+}$ where O$_{2}^{+}$ dominates around 0.2% O$_{2}$ and recombines
slowest. For increasing values of {\Delta}t we observe that after the
continuation phase first no new streamers occur at all, then new streamers show
up that avoid the entire pre-ionized region. Next we see new thin streamers
that follow the edges of the old channels. For larger {\Delta}t (10-200 {\mu}s)
the new streamers start to increase in size and move to the centre of the old
channel. Finally, around millisecond timescales the new channels are completely
independent of the old channels.


title: Perturbative quantum damping of cosmological expansion

abstract:
  Perturbative quantum gravity in the framework of the Schwinger-Keldysh
formalism is applied to compute lowest-order corrections to the actual
expansion of the Universe described in terms of the spatially flat
Friedman-Lematre-Robertson-Walker solution. The classical metric is
approximated by a third order polynomial perturbation around the Minkowski
metric. It is shown that the quantum contribution to the classical expansion,
although extremely small, has damping properties (quantum friction), i.e. it
slows down the expansion.


title: Optimizing water permeability through the hourglass shape of aquaporins

abstract:
  The ubiquitous aquaporin channels are able to conduct water across cell
membranes, combining the seemingly antagonist functions of a very high
selectivity with a remarkable permeability. Whereas molecular details are
obvious keys to perform these tasks, the overall efficiency of transport in
such nanopores is also strongly limited by viscous dissipation arising at the
connection between the nanoconstriction and the nearby bulk reservoirs. In this
contribution, we focus on these so-called entrance effects and specifically
examine whether the characteristic hourglass shape of aquaporins may arise from
a geometrical optimum for such hydrodynamic dissipation. Using a combination of
finite-element calculations and analytical modeling, we show that conical
entrances with suitable opening angle can indeed provide a large increase of
the overall channel permeability. Moreover, the optimal opening angles that
maximize the permeability are found to compare well with the angles measured in
a large variety of aquaporins. This suggests that the hourglass shape of
aquaporins could be the result of a natural selection process toward optimal
hydrodynamic transport. Finally, in a biomimetic perspective, these results
provide guidelines to design artificial nanopores with optimal performances.


title:
A Hybrid Linear Logic for Constrained Transition Systems with
  Applications to Molecular Biology

abstract:
  Linear implication can represent state transitions, but real transition
systems operate under temporal, stochastic or probabilistic constraints that
are not directly representable in ordinary linear logic. We propose a general
modal extension of intuitionistic linear logic where logical truth is indexed
by constraints and hybrid connectives combine constraint reasoning with logical
reasoning. The logic has a focused cut-free sequent calculus that can be used
to internalize the rules of particular constrained transition systems; we
illustrate this with an adequate encoding of the synchronous stochastic
pi-calculus. We also present some preliminary experiments of direct encoding of
biological systems in the logic.


title: Erosion of dust aggregates

abstract:
  Aims: The aim of this work is to gain a deeper insight into how much
different aggregate types are affected by erosion. Especially, it is important
to study the influence of the velocity of the impacting projectiles. We also
want to provide models for dust growth in protoplanetary disks with simple
recipes to account for erosion effects.
  Methods: To study the erosion of dust aggregates we employed a molecular
dynamics approach that features a detailed micro-physical model of the
interaction of spherical grains. For the first time, the model has been
extended by introducing a new visco-elastic damping force which requires a
proper calibration. Afterwards, different sample generation methods were used
to cover a wide range of aggregate types.
  Results: The visco-elastic damping force introduced in this work turns out to
be crucial to reproduce results obtained from laboratory experiments. After
proper calibration, we find that erosion occurs for impact velocities of 5 m/s
and above. Though fractal aggregates as formed during the first growth phase
are most susceptible to erosion, we observe erosion of aggregates with rather
compact surfaces as well.
  Conclusions: We find that bombarding a larger target aggregate with small
projectiles results in erosion for impact velocities as low as a few m/s. More
compact aggregates suffer less from erosion. With increasing projectile size
the transition from accretion to erosion is shifted to higher velocities. This
allows larger bodies to grow through high velocity collisions with smaller
aggregates.


title:
p-Summing Multiplication Operators, dyadic Hardy Spaces and atomic
  Decomposition

abstract:
  We constructively determine the Pietsch measure of the 2-summing
multiplication operator
  \[\mathcal{M}_u:\ell^{\infty} \rightarrow H^p, \quad (\varphi_I) \mapsto \sum
\varphi_Ix_Ih_I. \] Our construction of the Pietsch measure for the
multiplication operator $\mathcal{M}_u$ involves the Haar coefficients of $u$
and its atomic decomposition.


title: On feebly compact inverse primitive (semi)topological semigroups

abstract:
  We study the structure of inverse primitive feebly compact semitopological
and topological semigroups. We find conditions when the maximal subgroup of an
inverse primitive feebly compact semitopological semigroup $S$ is a closed
subset of $S$ and describe the topological structure of such semiregular
semitopological semigroups. Later we describe the structure of feebly compact
topological Brandt $\lambda^0$-extensions of topological semigroups and
semiregular (quasi-regular) primitive inverse topological semigroups. In
particular we show that inversion in a quasi-regular primitive inverse feebly
compact topological semigroup is continuous. Also an analogue of Comfort--Ross
Theorem is proved for such semigroups: a Tychonoff product of an arbitrary
family of primitive inverse semiregular feebly compact semitopological
semigroups with closed maximal subgroups is feebly compact. We describe the
structure of the Stone-\v{C}ech compactification of a Hausdorff primitive
inverse countably compact semitopological semigroup $S$ such that every maximal
subgroup of $S$ is a topological group.


title:
An Analytical and Numerical Study of Liquid Dynamics in a 1D Capillary
  under Entrapped Gas Action

abstract:
  Capillary dynamics has been and is yet an important field of research,
because of its very relevant role played as the core mechanism at the base of
many applications. In this context, we are particularly interested in the
liquid penetration inspection technique. Due to the obviously needed level of
reliability involved with such a non-destructive test, this paper is devoted to
study how the presence of an entrapped gas in a close-end capillary may affect
the inspection outcome. This study is carried out through a 1D ordinary
differential model that despite its simplicity is able to point out quite well
the capillary dynamics under the effect of an entrapped gas. The paper is
divided into two main parts; the first starts from an introductory historical
review of capillary flows modeling, goes on presenting the 1D second order
ordinary differential model, taking into account the presence of an entrapped
gas and therefore ends by showing some numerical simulation results. The second
part is devoted to the analytical study of the model by separating the initial
transitory behavior from the stationary one. Besides, these solutions are
compared with the numerical ones and finally an expression is deduced for the
threshold radius switching from a fully damped transitory to an oscillatory
one.


title: Pion production in neutrino-nucleus collisions

abstract:
  We compare our pion production results with recent MiniBooNE data measured in
mineral oil. Our total cross sections lie below experimental data for neutrino
energies above 1 GeV. Differential cross sections show our model produces too
few high energy pions in the forward direction as compared to data. The
agreement with experiment improves by artificially removing pion final state
interaction.


title: A note on the gambling team method

abstract:
  Gerber and Li in \cite{GeLi} formulated, using a Markov chain embedding, a
system of equations that describes relations between generating functions of
waiting time distributions for occurrences of patterns in a sequence of
independent repeated experiments when initial outcomes of the process are
known. We show how this system of equations can be obtained by using the
classical gambling team technique . We also present a form of solution of the
system and give an example showing how first results of trials influence the
probabilities that a chosen pattern precedes remaining ones in a realization of
the process.


title:
Probing AGN triggering mechanisms through the starburstiness of the host
  galaxies

abstract:
  We estimate the fraction of AGNs hosted in starburst galaxies (f_bursty) as a
function of the AGN luminosity predicted under the assumption that starburst
events and AGN activity are triggered by galaxy interactions during their
merging histories. The latter are described through Monte Carlo realizations,
and are connected to star formation and BH accretion using a semi-analytic
model of galaxy formation in a cosmological framework. The predicted fraction
f_bursty increases steeply with AGN luminosity from <0.2 at L_X < 10^44 erg/s
to >0.9 at L_X > 10^45 erg/s over a wide redshift interval from z=0 to z=6. We
compare the model predictions with new measurements of f_bursty from a sample
of X-ray selected AGNs in the XMM-COSMOS field at 0.3< z< 2, and from a sample
of QSOs (L_X > 10^45 erg/s) in the redshift range 2< z< 6.5. We find
preliminary indications that under conservative assumptions half of the QSO
hosts are starburst galaxies. This result provide motivation for future
systematic studies of the stellar properties of high luminosity AGN hosts in
order to constrain AGN triggering mechanisms.


title:
Operators versus functions: from quantum dynamical semigroups to
  tomographic semigroups

abstract:
  Quantum mechanics can be formulated in terms of phase-space functions,
according to Wigner's approach. A generalization of this approach consists in
replacing the density operators of the standard formulation with suitable
functions, the so-called generalized Wigner functions or (group-covariant)
tomograms, obtained by means of group-theoretical methods. A typical problem
arising in this context is to express the evolution of a quantum system in
terms of tomograms. In the case of a (suitable) open quantum system, the
dynamics can be described by means of a quantum dynamical semigroup 'in
disguise', namely, by a semigroup of operators acting on tomograms rather than
on density operators. We focus on a special class of quantum dynamical
semigroups, the twirling semigroups, that have interesting applications, e.g.,
in quantum information science. The 'disguised counterparts' of the twirling
semigroups, i.e., the corresponding semigroups acting on tomograms, form a
class of semigroups of operators that we call tomographic semigroups. We show
that the twirling semigroups and the tomographic semigroups can be encompassed
in a unique theoretical framework, a class of semigroups of operators including
also the probability semigroups of classical probability theory, so achieving a
deeper insight into both the mathematical and the physical aspects of the
problem.


title: Introduction to the AdS/CFT correspondence

abstract:
  This is a pedagogical introduction to the AdS/CFT correspondence, based on
lectures delivered by the author at the third IDPASC school. Starting with the
conceptual basis of the holographic dualities, the subject is developed
emphasizing some concrete topics, which are discussed in detail. A very brief
introduction to string theory is provided, containing the minimal ingredients
to understand the origin of the AdS/CFT duality. Other topics covered are the
holographic calculation of correlation functions, quark-antiquark potentials
and transport coefficients.


title:
Emergence of new magic numbers N = 16 and 34 through tensor interaction
  in Skyrme Hartree Fock theory

abstract:
  Melting of N=20 shell and development of N = 16 and N = 34 shells for
neutron-rich nuclei have been studied extensively through inclusion of tensor
interaction in Skyrme Hartree Fock theory optimized to reproduce the splitting
neutron 1f states of 40, 48Ca and 56Ni nuclei. Evolution of gap generated by
the energy difference of single particle levels neutron 2s1/2 and neutron 1d3/2
state has been found to be responsible for the development of a shell closure
at N = 16. The splitting pattern of spin-orbit partners 2p shell model state in
Ca, Ti, Cr, Fe and Ni isotopes indicates formation of a new shell at N = 34
region.


title:
Some considerations on skewness and kurtosis of vertical velocity in the
  convective boundary layer

abstract:
  Data of skewness $S$ and kurtosis $K$ of vertical velocity in the convective
boundary layer from different datasets have been analysed. Vertical profiles of
$S$ were found to be grouped into two classes that display different slopes
with height: one is nearly constant and the other is increasing. This behaviour
can be explained using a simple model for the PDF of vertical velocity and
assuming two distinct vertical profiles of updraft area fraction from
literature. The possibility of describing the explicit dependence of $K$ on $S$
was revised critically, also considering the neutral limit as well as the limit
for very small non-dimensional height. It was found that the coefficients of
the relationship depends on both the Obukhov length scale $L$ and inversion
height $z_i$.


title: Carbon Monoxide Clouds at Low-Metallicity in the WLM Galaxy

abstract:
  Carbon monoxide (CO) is the primary tracer for interstellar clouds where
stars form, yet CO has never been detected in galaxies with an Oxygen abundance
relative to Hydrogen less than 20% of solar, even though such low metallicity
galaxies often form stars. This raises the question of whether stars can form
in dense gas without the usual molecules, cooling to the required near-zero
temperatures by atomic transitions and dust radiation rather than molecular
line emission (Krumholz 2012), and it highlights uncertainties about star
formation in the early universe, when the metallicity was generally low. Here
we report the detection of CO in two regions of a local dwarf irregular galaxy,
WLM, where the metallicity is 13% of the solar value (Lee et al. 2005, Asplund
et al. 2009). New sub-millimeter observations and archival far-infrared
observations are used to estimate the cloud masses, which are both slightly
larger than 10^5 Msun. The clouds have produced stars at a rate per molecule
equal to 10% of that in the local Orion Nebula cloud. The CO fraction of the
molecular gas is also low, about 3% of the Milky Way value. These results
suggest that both star-forming cores and CO molecules become increasingly rare
in H_2 clouds as the metallicity decreases in small galaxies.


title:
Homogeneous structures of linear type on $\epsilon$-K\"ahler and
  $\epsilon$-quaternion K\"ahler manifolds

abstract:
  We analyze degenerate homogeneous structures of linear type in the
pseudo-K\"ahler and para-K\"ahler cases. The local form and the holonomy of
pseudo-K\"ahler or para-K\"ahler manifolds admitting such structure are
obtained. In addition the associated homogeneous models are studied exhibiting
their relation with the incompleteness of the metric. The same questions are
tackled in the pseudo-quaternion K\"ahler and para-quaternion K\"ahler cases.
These results complete the study of homogeneous structures of linear type in
pseudo-K\"ahler, para-K\"ahler, pseudo-quaternion K\"ahler and para-quaternion
K\"ahler cases.


title: Spectral triple and Sinai - Ruelle - Bowen measures

abstract:
  In this article, we recover the Sinai - Ruelle - Bowen measure associated to
a real-valued H\"{o}lder continuous function defined on the Julia set of a
hyperbolic quadratic polynomial, as a noncommutative measure by constructing an
appropriate spectral triple.


title: Density waves and star formation in grand design spirals

abstract:
  HII regions in the arms of spiral galaxies are indicators of recent
star-forming processes. They may have been caused by the passage of the density
wave or simply created by other means near the arms. The study of these regions
may give us clues to clarifying the controversy over the existence of a
triggering scenario, as proposed in the density wave theory. Using H$\alpha$
direct imaging, we characterize the HII regions from a sample of three grand
design galaxies: NGC5457, NGC628 and NGC6946. Broad band images in R and I were
used to determine the position of the arms. The HII regions found to be
associated with arms were selected for the study. The age and the star
formation rate of these HII regions was obtained using measures on the
H$\alpha$ line. The distance between the current position of the selected HII
regions and the position they would have if they had been created in the centre
of the arm is calculated. A parameter, T, which measures whether a region was
created in the arm or in the disc, is defined. With the help of the T parameter
we determine that the majority of regions were formed some time after the
passage of the density wave, with the regions located `behind the arm' (in the
direction of the rotation of the galaxy) the zone they should have occupied had
they been formed in the centre of the arm. The presence of the large number of
regions created after the passage of the arm may be explained by the effect of
the density wave, which helps to create the star-forming regions after its
passage. There is clear evidence of triggering for NGC5457 and a co-rotation
radius is proposed. A more modest triggering seems to exist for NGC628 and non
significant evidence of triggering are found for NGC6946.


title:
Global Existence and Nonlinear Stability for the Coupled CGL Burgers
  Equations for Sequential flames in RN

abstract:
  The present paper is devoted to the study of the global solution and
nonlinear stability to the coupled complex Ginzburg Landau and Burgers
equations for sequential flames


title:
Structure and phase behavior of colloidal dumbbells with tunable
  attractive interactions

abstract:
  We investigate thermodynamic and structural properties of colloidal dumbbells
in the framework provided by the Reference Interaction Site Model (RISM) theory
of molecular fluids and Monte Carlo simulations. We consider two different
models: in the first one we set identical square-well attractions on the two
tangent spheres composing the molecule (SW-SW model); in the second scheme, one
of square-well interactions is switched off (HS-SW model). Appreciable
differences emerge between the physical properties of the two models.
Specifically, the $k \to 0$ behavior of SW-SW structure factors $S(k)$ points
to the presence of a gas-liquid coexistence, as confirmed by subsequent fluid
phase equilibria calculations. Conversely, the HS-SW $S(k)$ develops a low-$k$
peak, signaling the presence of aggregates; such a process destabilizes the
gas-liquid phase separation, promoting at low temperatures the formation of a
cluster phase, whose structure depends on the system density. We further
investigate such differences by studying the phase behavior of a series of
intermediate models, obtained from the original SW-SW by progressively reducing
the depth of one square-well interaction. RISM structural predictions
positively reproduce the simulation data, including the rise of $S(k \to 0$) in
the SW-SW model and the low-$k$ peak in the HS-SW structure factor. As for the
phase behavior, RISM agrees with Monte Carlo simulations in predicting a
gas-liquid coexistence for the SW-SW model (though the critical parameters
appears overestimated by the theory) and its progressive disappearance moving
toward the HS-SW model.


title:
Strong Adsorption between Uranium Dicarbide and Graphene Surface Induced
  by f Electrons

abstract:
  The interaction between gaseous uranium dicarbide and graphite is significant
for the safety control and design of Gen-IV nuclear energy system. In this
article, the interaction mechanism has been studied using a simplified model of
adsorption of two typical UC2 isomers (linear CUC and symmetric triangular
structures) on graphene based on density functional theory calculations. The
results reveal strong chemisorption characteristics between the UC2 and
graphene, which is found different from the conventional weak intermolecular
interaction. Interestingly, although the CUC structure can induce a double
sp3-hybridization at the graphene, the most stable adsorption structure is
formed by the triangular UC2 adsorbed at the hollow site of the graphene.
Further bonding analysis indicates that the U 5f orbitals of the triangular UC2
are more active than that in the CUC, providing a larger effective bonding area
in the adsorption system. Our calculations are helpful for understanding the
role of actinide compounds in adsorption on carbon nanomaterials surface,
especially for elucidating the bonding properties of 5f electrons.


title: Nonlocal Gravity and Structure in the Universe

abstract:
  The observed acceleration of the Universe can be explained by modifying
general relativity. One such attempt is the nonlocal model of Deser and
Woodard. Here we fix the background cosmology using results from the Planck
satellite and examine the predictions of nonlocal gravity for the evolution of
structure in the universe, confronting the model with three tests:
gravitational lensing, redshift space distortions, and the estimator of gravity
$E_G$. Current data favor general relativity (GR) over nonlocal gravity: fixing
primordial cosmology with the best fit parameters from Planck leads to weak
lensing results favoring GR by 5.9 sigma; redshift space distortions
measurements of the growth rate preferring GR by 7.8 sigma; and the single
measurement of $E_G$ favoring GR, but by less than 1-sigma. The significance
holds up even after the parameters are allowed to vary within Planck limits.
The larger lesson is that a successful modified gravity model will likely have
to suppress the growth of structure compared to general relativity.


title: Anti-Ramsey numbers of small graphs

abstract:
  The anti-Ramsey number $AR(n,G$), for a graph $G$ and an integer
$n\geq|V(G)|$, is defined to be the minimal integer $r$ such that in any
edge-colouring of $K_n$ by at least $r$ colours there is a multicoloured copy
of $G$, namely, a copy of $G$ whose edges have distinct colours. In this paper
we determine the anti-Ramsey numbers of all graphs having at most four edges.


title: Anti-Ramsey numbers of graphs with small connected components

abstract:
  The anti-Ramsey number, $AR(n,G)$, for a graph $G$ and an integer
$n\geq|V(G)|$, is defined to be the minimal integer $r$ such that in any
edge-colouring of $K_n$ by at least $r$ colours there is a multicoloured copy
of $G$, namely, a copy of $G$ that each of its edges has a distinct colour. In
this paper we determine, for large enough $n$, $AR(n,L\cup tP_2)$ and
$AR(n,L\cup kP_3)$ for any large enough $t$ and $k$, and a graph $L$ satisfying
some conditions. Consequently, we determine $AR(n,G)$, for large enough $n$,
where $G$ is $P_3\cup tP_2$ for any $t\geq 3$, $P_4\cup tP_2$ and $C_3\cup
tP_2$ for any $t\geq 2$, $kP_3$ for any $k\geq 3$, $tP_2\cup kP_3$ for any
$t\geq 1$, $k\geq 2$, and $P_{t+1}\cup kP_3$ for any $t\geq 3$, $k\geq 1$.
Furthermore, we obtain upper and lower bounds for $AR(n,G)$, for large enough
$n$, where $G$ is $P_{k+1}\cup tP_2$ and $C_k\cup tP_2$ for any $k\geq 4$,
$t\geq 1$.


title:
Gapless metallic charge-density-wave phase driven by strong electron
  correlations

abstract:
  We analyze the transformation from insulator to metal induced by thermal
fluctuations within the Falicov-Kimball model. Using the Dynamic Mean Field
Theory (DMFT) formalism on the Bethe lattice we find rigorously the temperature
dependent Density of States ($DOS$) at half filling in the limit of high
dimensions. At zero temperature (T=0) the system is ordered to form the
checkerboard pattern and the $DOS$ has the gap $\Delta$ at the Fermi level
$\varepsilon_F=0$, which is proportional to the interaction constant $U$. With
an increase of $T$ the $DOS$ evolves in various ways that depend on $U$. For
$U>U_{cr}$ the gap persists for any $T$ (then $\Delta >0$), so the system is
always an insulator. However, if $U < U_{cr}$, two additional subbands develop
inside the gap. They become wider with increasing $T$ and at a certain
$U$-dependent temperature $T_{MI}$ they join with each other at
$\varepsilon_F$. Since above $T_{MI}$ the $DOS$ is positive at $\varepsilon_F$,
we interpret $T_{MI}$ as the transformation temperature from insulator to
metal. It appears, that $T_{MI}$ approaches the order-disorder phase transition
temperature $T_{O-DO}$ when $U$ is close to 0 or $ U_{cr}$, but $T_{MI}$ is
substantially lower than $T_{O-DO}$ for intermediate values of $U$. Having
calculated the temperature dependent $DOS$ we study thermodynamic properties of
the system starting from its free energy $F$. Then we find how the order
parameter $d$ and the gap $\Delta $ change with $T$ and we construct the phase
diagram in the variables $T$ and $U$, where we display regions of stability of
four different phases: ordered insulator, ordered metal, disordered insulator
and disordered metal. Finally, we use a low temperature expansion to
demonstrate the existence of a nonzero DOS at a characteristic value of U on a
general bipartite lattice.


title:
A criterion for invariant measures of It\^{o} processes based on the
  symbol

abstract:
  An integral criterion for the existence of an invariant measure of an It\^{o}
process is developed. This new criterion is based on the probabilistic symbol
of the It\^{o} process. In contrast to the standard integral criterion for
invariant measures of Markov processes based on the generator, no test
functions and hence no information on the domain of the generator is needed.


title: Tracer diffusion inside fibrinogen layers

abstract:
  We investigate the obstructed motion of tracer (test) particles in crowded
environments by carrying simulations of two-dimensional Gaussian random walk in
model fibrinogen monolayers of different orientational ordering. The fibrinogen
molecules are significantly anisotropic and therefore they can form structures
where orientational ordering, similar to the one observed in nematic liquid
crystals, appears. The work focuses on the dependence between level of the
orientational order (degree of environmental crowding) of fibrinogen molecules
inside a layer and non-Fickian character of the diffusion process of spherical
tracer particles moving within the domain. It is shown that in general
particles motion is subdiffusive and strongly anisotropic, and its
characteristic features significantly change with the orientational order
parameter, concentration of fibrinogens and radius of a diffusing probe.


title: Super-Resolution Imaging With An ELT: Kernel-Phase Interferometry

abstract:
  Kernel-phase is a recently developed paradigm that tackles the classical
problem of image deconvolution, based on an interferometric point of view of
image formation. Kernel-phase inherits and borrows from the notion of
closure-phase, especially as it is used in the context of non-redundant Fizeau
interferometry, but extends its application to pupils of arbitrary shape, for
diffraction limited images. The additional calibration brought by kernel-phase
boosts the resolution of conventional images and enables the detection of
otherwise hidden faint features at the resolution limit and beyond, a regime
often refered to as super-resolution, which for a 30-meter telescope in the
near IR, this translates into a resolving power smaller than 10 mas.
Kernel-phase analysis of archival space and ground based AO data leads to new
discoveries and/or improved relative astrometry and photometry. The paper
presents the current status of the technique and some of its recent
developments and applications that lead to recommendations for super-resolution
imaging with ELTs.


title: Extension of a key identity

abstract:
  In this article, we extend a certain key identity proved by J. Jorgenson and
J. Kramer for compact hyperbolic Riemann surfaces to noncompact hyperbolic
Riemann orbisurfaces of finite volume, which can be realized as the quotient
space of the action of a Fuchsian subgroup of the first kind acting on the
hyperbolic upper half-plane.
  The key identity of J. Jorgenson and J. Kramer relates the two natural
metrics, namely the hyperbolic metric and the canonical metric defined on a
hyperbolic Riemann surface. Via the spectral expansion of the hyperbolic heat
kernel, this identity serves as a trace formula relating the weight 2 cusp
forms with Maass forms. Our result is an extension of the key identity to
elliptic fixed points and cusps at the level of currents acting on a certain
space of singular functions.
  Our result serves as the starting point for extending the work of J.
Jorgenson and J. Kramer to non compact hyperbolic Riemann orbisurfaces. In
particular, to the problem of deriving bounds for the canonical Green's
function defined on a noncompact hyperbolic Riemann orbisurface of finite
volume, which is being addressed in an upcoming article by the same author.


title: Hadwiger's conjecture for 3-arc graphs

abstract:
  The 3-arc graph of a digraph $D$ is defined to have vertices the arcs of $D$
such that two arcs $uv, xy$ are adjacent if and only if $uv$ and $xy$ are
distinct arcs of $D$ with $v\ne x$, $y\ne u$ and $u,x$ adjacent.
  We prove that Hadwiger's conjecture holds for 3-arc graphs.


title:
Alternating lags of QPO harmonics : A Generic model and its application
  to the 67 millihertz QPO of GRS 1915+105

abstract:
  A generic model for alternating lags in QPO harmonics is presented where
variations in the photon spectrum are caused by oscillations in two parameters
that characterize the spectrum. It is further assumed that variations in one of
the parameters is linearly driven by variations in the other after a time delay
$t_d$. It is shown that alternating lags will be observed for a range of $t_d$
values. A phenomenological model based on this generic one is developed which
can explain the amplitude and phase lag variation with energy of the
fundamental and the next three harmonics of the 67 mHz QPO observed in GRS
1915+105. The phenomenological model also predicts the variation of the
Bicoherence phase with energy, which can be checked by further analysis of the
observational data.


title: On quasilinear parabolic evolution equations in weighted Lp-spaces II

abstract:
  Our study of abstract quasi-linear parabolic problems in time-weighted
L_p-spaces, begun in [17], is extended in this paper to include singular lower
order terms, while keeping low initial regularity. The results are applied to
reaction-diffusion problems, including Maxwell-Stefan diffusion, and to
geometric evolution equations like the surface-diffusion flow or the Willmore
flow. The method presented here will be applicable to other parabolic systems,
including free boundary problems.


title: Neutrinos

abstract:
  This document represents the response of the Intensity Frontier Neutrino
Working Group to the Snowmass charge. We summarize the current status of
neutrino physics and identify many exciting future opportunities for studying
the properties of neutrinos and for addressing important physics and
astrophysics questions with neutrinos.


title:
On incompressible two-phase flows with phase transitions and variable
  surface tension

abstract:
  Our study of the basic model for incompressible two-phase flows with phase
transitions consistent with thermodynamics [10,11,12,16] is extended to the
case of temperature-dependent surface tension. We prove well-posedness in an
Lp-setting, study the stability of the equilibria of the problem, and show that
a solution which does not develop singularities exists globally, and if its
limit set contains a stable equilibrium it converges to this equilibrium in the
natural state manifold for the problem as time goes to infinity.


title:
An Extensive Report on Cellular Automata Based Artificial Immune System
  for Strengthening Automated Protein Prediction

abstract:
  Artificial Immune System (AIS-MACA) a novel computational intelligence
technique is can be used for strengthening the automated protein prediction
system with more adaptability and incorporating more parallelism to the system.
Most of the existing approaches are sequential which will classify the input
into four major classes and these are designed for similar sequences. AIS-MACA
is designed to identify ten classes from the sequences that share twilight zone
similarity and identity with the training sequences with mixed and hybrid
variations. This method also predicts three states (helix, strand, and coil)
for the secondary structure. Our comprehensive design considers 10 feature
selection methods and 4 classifiers to develop MACA (Multiple Attractor
Cellular Automata) based classifiers that are build for each of the ten
classes. We have tested the proposed classifier with twilight-zone and
1-high-similarity benchmark datasets with over three dozens of modern competing
predictors shows that AIS-MACA provides the best overall accuracy that ranges
between 80% and 89.8% depending on the dataset.


title: Applications of algebraic methods in solving the center-focus problem

abstract:
  The nonlinear differential system $ \dot{x}=\sum_{i=0}^{\ell}P_{m_i}(x,y),\
\dot{y}=\sum_{i=0}^{\ell}Q_{m_i}(x,y)$ is considered, where $P_{m_i}$ and
$Q_{m_i}$ are homogeneous polynomials of degree $m_i\geq 1$ in $x$ and $y$,
$m_0=1$. The set $\{1,m_i\}_{i=1}^{\ell}$ consists of a finite number
$(\ell<\infty)$ of distinct natural numbers. It is shown that the maximal
number of algebraically independent focal quantities that take part in solving
the center-focus problem for the given differential system with $m_0=1$, having
at the origin of coordinates a singular point of the second type (center or
focus), does not exceed $\varrho=2(\sum_{i=1}^{\ell}m_i+\ell)+3.$ We make an
assumption that the number $\omega$ of essential conditions for center which
solve the center-focus problem for this differential system does not exceed
$\varrho$, i.\,e. $\omega\leq\varrho$.


title:
Macroscopic Elastic Properties of Textured ZrN--AlN Polycrystalline
  Aggregates: From Ab initio Calculations to Grain-Scale Interactions

abstract:
  Despite the fast development of computational materials modelling,
theoretical description of macroscopic elastic properties of textured
polycrystalline aggregates starting from basic principles remains a challenging
task. In this communication we use a supercell-based approach to obtain the
elastic properties of random solid solution cubic ZrAlN system as a function of
the metallic sublattice composition and texture descriptors. The employed
special quasi-random structures are optimised not only with respect to short
range order parameters, but also to make the three cubic directions
$[1\,0\,0]$, $[0\,1\,0]$, and $[0\,0\,1]$ as similar as possible. In this way,
only a small spread of elastic constants tensor components is achieved and an
optimum trade-off between modelling of chemical disorder and computational
limits regarding the supercell size is achieved. The single crystal elastic
constants are shown to vary smoothly with composition, yielding
$x\approx0.4$-0.5 an alloy constitution with an almost isotropic response.
Consequently, polycrystals with this composition are suggested to have Young's
modulus independent on the actual microstructure. This is indeed confirmed by
explicit calculations of polycrystal elastic properties, both within the
isotropic aggregate limit, as well as with fibre textures with various
orientations and sharpness. It turns out, that for low AlN mole fractions, the
spread of the possible Young's moduli data caused by the texture variation can
be larger than 100 GPa. Consequently, our discussion of Young's modulus data of
cubic ZrAlN contains also the evaluation of the texture typical for thin films.


title: Moser's Shadow Problem

abstract:
  Moser's shadow problem asks to estimate the shadow function
$\mathfrak{s}_b(n)$, which is the largest number such that for each bounded
convex polyhedron $P$ with $n$ vertices in $3$-space there is some direction
${\bf v}$ (depending on $P$) such that, when illuminated by parallel light rays
from infinity in direction ${\bf v}$, the polyhedron casts a shadow having at
least $\mathfrak{s}_b(n)$ vertices. A general version of the problem allows
unbounded polyhedra as well, and has associated shadow function
$\mathfrak{s}_u(n)$. This paper presents correct order of magnitude asymptotic
bounds on these functions. The bounded case has answer $\mathfrak{s}_b(n) =
\Theta \big( \log (n)/ (\log(\log (n))\big$. The unbounded shadow problem is
shown to have the different asymptotic growth rate $\mathfrak{s}_u(n) = \Theta
\big(1\big)$. Results on the bounded shadow problem follow from 1989 work of
Chazelle, Edelsbrunner and Guibas on the (bounded) silhouette span number
$\mathfrak{s}_b^{\ast}(n)$, defined analogously but with arbitrary light
sources. We complete the picture by showing that the unbounded silhouette span
number $\mathfrak{s}_u^{\ast}(n)$ grows as $\Theta \big( \log (n)/ (\log(\log
(n))\big)$.


title: On the evolution of the density pdf in strongly self-gravitating systems

abstract:
  The time evolution of the probability density function (PDF) of the mass
density is formulated and solved for systems in free-fall using a simple
appoximate function for the collapse of a sphere. We demonstrate that a
pressure-free collapse results in a power-law tail on the high-density side of
the PDF. The slope quickly asymptotes to the functional form
$\mathrm{P}_v(\rho)\propto\rho^{-1.54}$ for the (volume-weighted) PDF and
$\mathrm{P}_m(\rho)\propto\rho^{-0.54}$ for the corresponding mass-weighted
distribution. From the simple approximation of the PDF we derive analytic
descriptions for mass accretion, finding that dynamically quiet systems with
narrow density PDFs lead to retarded star formation and low star formation
rates. Conversely, strong turbulent motions that broaden the PDF accelerate the
collapse causing a bursting mode of star formation. Finally, we compare our
theoretical work with observations. The measured star formation rates are
consistent with our model during the early phases of the collapse. Comparison
of observed column density PDFs with those derived from our model suggests that
observed star-forming cores are roughly in free-fall.


title:
M-ary Detection and q-ary Decoding in Large-Scale MIMO: A Non-Binary
  Belief Propagation Approach

abstract:
  In this paper, we propose a non-binary belief propagation approach (NB-BP)
for detection of $M$-ary modulation symbols and decoding of $q$-ary LDPC codes
in large-scale multiuser MIMO systems. We first propose a message passing based
symbol detection algorithm which computes vector messages using a scalar
Gaussian approximation of interference, which results in a total complexity of
just $O(KN\sqrt{M})$, where $K$ is the number of uplink users and $N$ is the
number of base station (BS) antennas. The proposed NB-BP detector does not need
to do a matrix inversion, which gives a complexity advantage over MMSE
detection. We then design optimized $q$-ary LDPC codes by matching the EXIT
charts of the proposed detector and the LDPC decoder. Simulation results show
that the proposed NB-BP detection-decoding approach using the optimized LDPC
codes achieve significantly better performance (by about 1 dB to 7 dB at
$10^{-5}$ coded BER for various system loading factors with number of users
ranging from 16 to 128 and number of BS antennas fixed at 128) compared to
using linear detectors (e.g., MMSE detector) and off-the-shelf $q$-ary
irregular LDPC codes. Also, even with estimated channel knowledge (e.g., with
MMSE channel estimate), the performance of the proposed NB-BP detector is
better than that of the MMSE detector.


title: On the Union of Arithmetic Progressions

abstract:
  We show that for every $\varepsilon>0$ there is an absolute constant
$c(\varepsilon)>0$ such that the following is true. The union of any $n$
arithmetic progressions, each of length $n$, with pairwise distinct differences
must consist of at least $c(\varepsilon)n^{2-\varepsilon}$ elements. We
observe, by construction, that one can find $n$ arithmetic progressions, each
of length $n$, with pairwise distinct differences such that the cardinality of
their union is $o(n^2)$. We refer also to the non-symmetric case of $n$
arithmetic progressions, each of length $\ell$, for various regimes of $n$ and
$\ell$.


title:
An Improved Majority-Logic Decoder Offering Massively Parallel Decoding
  for Real-Time Control in Embedded Systems

abstract:
  We propose an easy-to-implement hard-decision majority-logic decoding
algorithm for Reed-Muller codes RM(r,m) with m >= 3, m/2 >= r >= 1. The
presented algorithm outperforms the best known majority-logic decoding
algorithms and offers highly parallel decoding. The result is of special
importance for safety- and time-critical applications in embedded systems. A
simple combinational circuit can perform the proposed decoding. In particular,
we show how our decoder for the three-error-correcting code RM(2,5) of
dimension 16 and length 32 can be realized on hardware level.


title:
Review of important reactions for the nitrogen chemistry in the
  interstellar medium

abstract:
  Predictions of astrochemical models depend strongly on the reaction rate
coefficients used in the simulations. We reviewed a number of key reactions for
the chemistry of nitrogen-bearing species in the dense interstellar medium and
proposed new reaction rate coefficients for those reactions. The details of the
reviews are given in the form of a datasheet associated with each reaction. The
new recommended rate coefficients are given with an uncertainty and a
temperature range of validity and will be included in KIDA
(http://kida.obs.u-bordeaux1.fr).


title: The star cluster frequency throughout the Large Magellanic Cloud

abstract:
  We address the issue about the variation of the star cluster frequency (CF)
in the Large Magellanic Cloud (LMC) in terms of the cluster spatial
distribution. We adopted the LMC regions traced by Harris & Zaritsky (2009) and
used an updated version of the cluster database compiled by Baumgardt et al.
(2013). The CFs were produced by taking into account an appropriate selection
of age bins. Since the uncertainty in a cluster's age can be large compared to
the size of the age bins, we account for the fact that a cluster could actually
reside in one of a few adjacent age bins. We confirm that there exist some
variations of the LMC CFs in terms of their spatial distributions, although
some caveats should be pointed out. 30 Doradus resulted to be the region with
the highest relative frequency of youngest clusters, while the log($t$) = 9-9.5
(1-3 Gyr) age range is featured by cluster formation at a higher rate in the
inner regions than in the outer ones. We compared the observed CFs to
theoretical CFs, which are based on the star formation histories of the field
stars in each region of the LMC, and found the former predicting more or fewer
clusters than observed depending on the field and age range considered.


title: 4-point vertices from the 2PI and 4PI Effective Actions

abstract:
  We consider a symmetric scalar theory with quartic coupling in 2- and
3-dimensions and compare the self-consistent 4-point vertex obtained from the
4PI effective action with the Bethe-Salpeter 4-vertex from 2PI effective
action. At zero external momenta the two vertices agree well with each other
when the coupling strength is small, but differences between them become more
and more pronounced as the coupling strength is increased. We also study the
momentum dependence of the two vertices and show that for certain momentum
configurations they are almost identical, but differ for general momentum
arguments.


title: Identifying neighbors of stable surfaces

abstract:
  We identify the stable surfaces around the stable limit of the examples of Y.
Lee and J. Park [LP07], and H. Park, J. Park and D. Shin [PPS09] using the
explicit 3-fold Mori theory in [HTU13]. These surfaces belong to the
Koll\'ar--Shepherd-Barron--Alexeev compactification of the moduli space of
simply connected surfaces of general type with $p_g=0$ and $K^2=1,2,3$.


title: Lattice QCD review of charmonium and open-charm spectroscopy

abstract:
  Lattice QCD results on the spectroscopy of charmonium(like) states and open
charm mesons are reviewed. Near-threshold states X(3872) and D_{s0}^*(2317)
were treated rigorously for the first time and the searches for Z_c^+(3900),
X(4140) and $cc\bar u\bar d$ were carried out. The first simulations of the
resonances with charm quarks have been performed, including the determination
of their strong decay widths. Spectroscopy of highly excited charmed,
charmonium and hybrid states has been calculated.


title:
An application of a conjecture due to Ervedoza and Zuazua concerning the
  observability of the heat equation in small time to a conjecture due to Coron
  and Guerrero concerning the uniform controllability of a convection-diffusion
  equation

abstract:
  The aim of this short paper is to explore a new connection between a
conjecture concerning sharp boundary observability estimates for the 1-D heat
equation in small time and a conjecture concerning the cost of
null-controllability for a 1-D convection-diffusion equation with constant
coefficients controlled on the boundary in the vanishing viscosity limit, in
the spirit of what is done in [Pierre Lissy, A link between the cost of fast
controls for the 1-D heat equation and the uniform controllability of a 1-D
transport-diffusion equation, C. R. Math. Acad. Sci. Paris, Volume 352, 2012].
We notably establish that the first conjecture implies the second one as soon
as the speed of the transport part is non-negative in the transport-diffusion
equation.


title: Trace formulas for a class of Jacobi operators

abstract:
  In this paper we study a class of Jacobi operators, such that each operator
is generated by the unit Borel measure with a support consisting of a finite
number of intervals on the real line R and a finite number of points in C,
located outside the convex hull of the intervals and symmetrically with respect
to R. In such a class of operators we have obtained the asymptotic behavior of
the diagonal Green's function and trace formulas for sequences of coefficients
corresponding to a given operator. Bibliography: 34 titles.


title: Sympathetic cooling of fluorine atoms with ultracold atomic hydrogen

abstract:
  We consider the prospect of using ultracold hydrogen atoms for sympathetic
cooling of fluorine atoms to microkelvin temperatures. We carry out
quantum-mechanical calculations on collisions between cold F and H atoms in
magnetically trappable states and show that the ratio of elastic to inelastic
cross sections remains high across a wide range of temperatures and magnetic
fields. For F atoms initially in the spin-stretched state ($^2$P$_{3/2}$,
$f=m_f=+2$), sympathetic cooling appears likely to succeed from starting
temperatures around 1 K or even higher. This occurs because inelastic
collisions are suppressed by p-wave and d-wave barriers that are 600 mK and 3.2
K high, respectively. In combination with recent results on H + NH and H + OH
collisions [M. L. Gonz\'alez-Mart\'{\i}nez and J. M. Hutson, arXiv:1305.6282
(2013)], this establishes ultracold H atoms as a very promising and versatile
coolant for atoms and molecules that cannot be laser-cooled.


title:
On constructing complete permutation polynomials over finite fields of
  even characteristic

abstract:
  In this paper, a construction of complete permutation polynomials over finite
fields of even characteristic proposed by Tu et al. recently is generalized in
a recursive manner. Besides, several classes of complete permutation
polynomials are derived by computing compositional inverses of known ones.


title:
Annealed and quenched limit theorems for random expanding dynamical
  systems

abstract:
  In this paper, we investigate annealed and quenched limit theorems for random
expanding dynamical systems. Making use of functional analytic techniques and
more probabilistic arguments with martingales, we prove annealed versions of a
central limit theorem, a large deviation principle, a local limit theorem, and
an almost sure invariance principle. We also discuss the quenched central limit
theorem, dynamical Borel-Cantelli lemmas, Erd\"os-R\'enyi laws and
concentration inequalities.


title: On an estimate in the subspace perturbation problem

abstract:
  The problem of variation of spectral subspaces for linear self-adjoint
operators under an additive bounded perturbation is considered. The aim is to
find the best possible upper bound on the norm of the difference of two
spectral projections associated with isolated parts of the spectrum of the
perturbed and unperturbed operators.
  In the approach presented here, a constrained optimization problem on a
specific set of parameters is formulated, whose solution yields an estimate on
the arcsine of the norm of the difference of the corresponding spectral
projections. The problem is solved explicitly. This optimizes the approach by
Albeverio and Motovilov in [Complex Anal. Oper. Theory 7 (2013), 1389--1416].
In particular, the resulting estimate is stronger than the one obtained there.


title:
Techniques for Profile Binning and Analysis of Eigenvector Composite
  Spectra: Comparing Hbeta and MgII 2800 as Virial Estimators

abstract:
  We review the basic techniques for extracting information about quasar
structure and kinematics from the broad emission lines in quasars. We consider
which lines can most effectively serve as virial estimators of black hole mass.
At low redshift the Balmer lines,particularly broad H beta, are the lines of
choice. For redshifts greater than 0.7 - 0.8 one can follow H beta into the IR
windows or find an H beta surrogate. We explain why UV CIV 1549 is not a safe
virial estimator and how MgII 2800 serves as the best virial surrogate for H
beta up to the highest redshift quasar known at z ~ 7. We show how spectral
binning in a parameter space context (4DE1) makes possible a more effective
comparison of H beta and MgII. It also helps to derive more accurate mass
estimates from appropriately binned spectra and, finally, to map the dispersion
in black hole mass and Eddington ratio across the quasar population. FWHM MgII
is about 20% smaller than FWHM H beta in the majority of type 1 AGN requiring
correction when comparing black hole mass estimates from these two lines. The
20% of sources showing narrowest FWHM H beta (< 4000 km/s) and strongest FeII
(R_FeII >~ 1.0) emission (we call them bin A3-4 sources) do not show this FWHM
difference and a blueshift detected in MgII for these sources suggests that
FWHM H beta is the safer virial estimator for these extreme Eddington emitters.


title:
Bayesian Information Sharing Between Noise And Regression Models
  Improves Prediction of Weak Effects

abstract:
  We consider the prediction of weak effects in a multiple-output regression
setup, when covariates are expected to explain a small amount, less than
$\approx 1%$, of the variance of the target variables. To facilitate the
prediction of the weak effects, we constrain our model structure by introducing
a novel Bayesian approach of sharing information between the regression model
and the noise model. Further reduction of the effective number of parameters is
achieved by introducing an infinite shrinkage prior and group sparsity in the
context of the Bayesian reduced rank regression, and using the Bayesian
infinite factor model as a flexible low-rank noise model. In our experiments
the model incorporating the novelties outperformed alternatives in genomic
prediction of rich phenotype data. In particular, the information sharing
between the noise and regression models led to significant improvement in
prediction accuracy.


title: Out of equilibrium charge dynamics in a hybrid cQED architecture

abstract:
  The recent development of hybrid cQED allows one to study how cavity photons
interact with a system driven out of equilibrium by fermionic reservoirs. We
study here one of the simplest combination : a double quantum dot coupled to a
single mode of the electromagnetic field. We are able to couple resonantly the
charge levels of a carbon nanotube based double dot to cavity photons. We
perform a microwave read out of the charge states of this system which allows
us to unveil features of the out of equilibrium charge dynamics, otherwise
invisible in the DC current. We extract relaxation rate, dephasing rate and
photon number of the hybrid system using a theory based on a master equation
technique. These findings open the path for manipulating other degrees of
freedom e.g. the spin and/or the valley in nanotube based double dots using
microwave light.