title: Discovery of the VHE gamma-ray source HESS J1641-463

abstract:
  A new TeV source, HESS J1641-463, has been serendipitously discovered in the
Galactic plane by the High Energy Stereoscopic System (H.E.S.S.) at a
significance level of 8.6 standard deviations. The observations of HESS
J1641-463 were performed between 2004 and 2011 and the source has a moderate
flux level of 1.7% of the Crab Nebula flux at E > 1 TeV. HESS J1641-463 has a
rather hard photon index of 1.99 +- 0.13_stat +- 0.20_sys. HESS J1641-463 is
positionally coincident with the radio supernova remnant SNR G338.5+0.1, but no
clear X-ray counterpart has been found in archival Chandra observations of the
region. Different possible VHE production scenarios will be discussed in this
contribution.


title:
Wavelet methods to eliminate resonances in the Galerkin-truncated
  Burgers and Euler equations

abstract:
  It is well known that solutions to the Fourier-Galerkin truncation of the
inviscid Burgers equation (and other hyperbolic conservation laws) do not
converge to the physically relevant entropy solution after the formation of the
first shock. This loss of convergence was recently studied in detail in [S. S.
Ray et al., Phys. Rev. E 84, 016301 (2011)], and traced back to the appearance
of a spatially localized resonance phenomenon perturbing the solution. In this
work, we propose a way to remove this resonance by filtering a wavelet
representation of the Galerkin-truncated equations. A method previously
developed with a complex-valued wavelet frame is applied and expanded to
embrace the use of real-valued orthogonal wavelet basis, which we show to yield
satisfactory results only under the condition of adding a safety zone in
wavelet space. We also apply the complex-valued wavelet based method to the 2D
Euler equation problem, showing that it is able to filter the resonances in
this case as well.


title: Derivation of Hartree's theory for generic mean-field Bose systems

abstract:
  In this paper we provide a novel strategy to prove the validity of Hartree's
theory for the ground state energy of bosonic quantum systems in the mean-field
regime. For the well-known case of trapped Bose gases, this can be shown using
the strong quantum de Finetti theorem, which gives the structure of infinite
hierarchies of k-particles density matrices. Here we deal with the case where
some particles are allowed to escape to infinity, leading to a lack of
compactness. Our approach is based on two ingredients: (1) a weak version of
the quantum de Finetti theorem, and (2) geometric techniques for many-body
systems. Our strategy does not rely on any special property of the interaction
between the particles. In particular, our results cover those of Benguria-Lieb
and Lieb-Yau for, respectively, bosonic atoms and boson stars.


title: Sufficient conditions for univalence of analytic functions

abstract:
  The article discusses criteria for univalence of analytic functions in the
unit disc. Various families of analytic functions depending on real parameters
are considered. A unified method for creating new sets of conditions ensuring
univalence is presented. Applying this method we are able to find several
families of new sharp criteria for univalence.


title: Charged Higgs boson production in single top mode at the LHC

abstract:
  The main production mode for a light charged Higgs boson at the LHC is $pp
\to t \bar t$, with one the top-quarks decaying to a charged Higgs and a
$b$-quark. However, single top production also gives rise to final states with
charged Higgs bosons. In this work we analyse how the two processes compare at
the LHC@14TeV. We will be working in the framework of the two-Higgs double
model, considering both a CP-conserving and a CP-violating version of the
model. We conclude that the single top mode could help to constrain the
parameter space in several versions of the model. We also discuss the role of
other complementary production processes in future searches at the LHC.


title: Cellularity of certain quantum endomorphism algebras

abstract:
  We exhibit for all positive integers r, an explicit cellular structure for
the endomorphism algebra of the r'th tensor power of an integral form of the
Weyl module with highest weight d of the quantised enveloping algebra of sl2.
When q is specialised to a root of unity of order bigger than d, we consider
the corresponding specialisation of the tensor power. We prove one general
result which gives sufficient conditions for the commutativity of
specialisation with the taking of endomorphism algebras, and another which
relates the multiplicities of indecomposable summands to the dimensions of
simple modules for an endomorphism algebra. Our cellularity result then allows
us to prove that knowledge of the dimensions of the simple modules of the
specialised cellular algebra above is equivalent to knowledge of the weight
multiplicities of the tilting modules for the specialised quantum group. In the
final section we independently determine the weight multiplicities of
indecomposable tilting modules for quantum sl2, and the decomposition numbers
of the endomorphism algebras. We indicate how either one of these sets of
numbers determines the other.


title: A highly specific gold nanoprobe for live-cell single-molecule imaging

abstract:
  Single molecule tracking in live cells is the ultimate tool to study
subcellular protein dynamics, but it is often limited by the probe size and
photostability. Due to these issues, long-term tracking of proteins in confined
and crowded environments, such as intracellular spaces, remains challenging. We
have developed a novel optical probe consisting of 5-nm gold nanoparticles
functionalized with a small fragment of camelid antibodies that recognize
widely used GFPs with a very high affinity, which we call GFP-nanobodies. These
small gold nanoparticles can be detected and tracked using photothermal imaging
for arbitrarily long periods of time. Surface and intracellular GFP-proteins
were effectively labeled even in very crowded environments such as adhesion
sites and cytoskeletal structures both in vitro and in live cell cultures.
These nanobody-coated gold nanoparticles are probes with unparalleled
capabilities; small size, perfect photostability, high specificity, and
versatility afforded by combination with the vast existing library of
GFP-tagged proteins.


title:
Mechanism of Electrolyte-Induced Brightening in Single-Wall Carbon
  Nanotubes

abstract:
  While addition of electrolyte to sodium dodecyl sulfate suspensions of
single-wall carbon nanotubes has been demonstrated to result in significant
brightening of the nanotube photoluminescence (PL), the brightening mechanism
has remained unresolved. Here, we probe this mechanism using time-resolved PL
decay measurements. We find that PL decay times increase by a factor of 2 on
addition of CsCl as the electrolyte. Such an increase directly parallels an
observed near-doubling of PL intensity, indicating the brightening results
primarily from changes in nonradiative decay rates associated with exciton
diffusion to quenching sites. Our findings indicate that a reduced number of
these sites results from electrolyte-induced reorientation of the surfactant
surface structure that partially removes pockets of water from the tube surface
where excitons can dissociate, and thus underscores the contribution of
interfacial water in exciton recombination processes.


title: The Induced Electric Field Distribution in Solar Atmosphere

abstract:
  A method of calculating induced electric field is presented in this paper.
Induced electric field in solar atmosphere is derived by the time variation of
magnetic field when the charged particle accumulation is neglected. In order to
get the spatial distribution of magnetic field, several extrapolation methods
are introduced. With observational data from Helioseismic and Magnetic Imager
(HMI) aboard the NASA's Solar Dynamics Observatory (SDO) on May 20th, 2010, we
extrapolate the magnetic field to the upper atmosphere from the photosphere. By
calculating the time variation of magnetic field, we can get the induced
electric field. The derived induced electric field can reach a value of 100
V/cm and the average electric field has a maximum point at the layer of 360 km
above the photosphere. The Monte Carlo statistics method is used to compute the
triple integration of induced electric field.


title:
Exact evaluation of the cutting path length in a percolation model on a
  hierarchical network

abstract:
  This work presents an approach to evaluate the exact value of the fractal
dimension of the cutting path $d^{CP}_f$ on hierarchical structures with finite
order of ramification. This represents the first renormalization group
treatment of the universality class of watersheds. By making use of the
self-similar property, we show that $d^{CP}_f$ depends only on the average
cutting path (CP) of the first generation of the structure. For the simplest
Wheastone hierarchical lattice (WHL), we present a mathematical proof. For a
larger WHL structure, the exact value of $d^{CP}_f$ is derived based on an
computer algorithm that identifies the length of all possible CP's of the first
generation.


title: Physics of the Interplay Between the Top Quark and the Higgs Boson

abstract:
  We discuss some aspects of the interplay between the top quark and the Higgs
boson at the LHC. First we describe what indirect information on the top Yukawa
coupling can be extracted from measurements in the Higgs sector. We then show
that the study of processes involving $Ht\bar{t}$ and $Hb\bar{b}$ final states
can give us information on the spectrum in models of strong electroweak
symmetry breaking. In particular, we introduce a novel analysis of the
$Hb\bar{b}\to bb\bar{b}\bar{b}$ channel with an excellent discovery potential
at the LHC.


title: A new statistic on the hyperoctahedral groups

abstract:
  We introduce a new statistic on the hyperoctahedral groups (Coxeter groups of
type B), and give a conjectural formula for its signed distributions over
arbitrary descent classes. The statistic is analogous to the classical Coxeter
length function, and features a parity condition. For descent classes which are
singletons the conjectured formula gives the Poincar\'e polynomials of the
varieties of symmetric matrices of fixed rank.
  For several descent classes we prove the conjectural formula. For this we
construct suitable "supporting sets" for the relevant generating functions. We
prove cancellations on the complements of these supporting sets using suitably
defined sign reversing involutions.


title: On traceability of claw-o_{-1}-heavy graphs

abstract:
  A graph is called traceable if it contains a Hamilton path, i.e., a path
passing through all its vertices. Let $G$ be a graph on $n$ vertices. $G$ is
called claw-$o_{-1}$-heavy if every induced claw ($K_{1,3}$) of $G$ has a pair
of nonadjacent vertices with degree sum at least $n-1$ in $G$. In this paper we
show that a claw-$o_{-1}$-heavy graph $G$ is traceable if we impose certain
additional conditions on $G$ involving forbidden induced subgraphs.


title:
Global regular axially symmetric solutions to the Navier-Stokes
  equations

abstract:
  The existence of global regular axially symmetric solutions to the
Navier-Stokes equations in a bounded cylinder is proved. The main step in the
proof is a proof of the Holder continuity of the swirl. This gives a
possibility to prove global a priori estimate for regular solutions. Then a
local solution can be extended step by step in time.


title: Problems with Propagation and Time Evolution in f(T) Gravity

abstract:
  Teleparallel theories of gravity have a long history. They include a special
case referred to as the Teleparallel Equivalent of General Relativity (TEGR,
aka GR$_{\|}$). Recently this theory has been generalized to f(T) gravity.
Tight constraints from observations suggest that f(T) gravity is not as robust
as initially hoped. This might hint at hitherto undiscovered problems at the
theoretical level. In this work, we point out that a generic f(T) theory can be
expected to have certain problems including superluminal propagating modes, the
presence of which can be revealed by using the characteristic equations that
govern the dynamics in f(T) gravity and/or the Hamiltonian structure of the
theory via Dirac constraint analysis. We use several examples from simpler
gauge field theories to explain how such superluminal modes could arise. We
also point out problems with the Cauchy development of a constant time
hypersurface in FLRW spacetime in f(T) gravity. The time evolution from a FLRW
(and as a special case, Minkowski spacetime) initial condition is not unique.


title:
K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from
  twist

abstract:
  We unify k-Poincare algebra and k-Minkowski spacetime by embeding them into
quantum phase space. The quantum phase space has Hopf algebroid structure to
which we apply the twist in order to get k- deformed Hopf algebroid structure
and k-deformed phase space. We explicitly construct k-Poincare-Hopf algebra and
k-Minkowski spacetime from twist. It is outlined how this construction can be
extended to k-deformed super algebra including exterior derivative and forms.
Our results are relevant for constructing physical theories on noncommutative
spacetime by twisting Hopf algebroid phase space structure.


title: The dynamics of the bulge dominated galaxy NGC 7814 in MOND

abstract:
  The bulge dominated galaxy NGC 7814 provides one of the strongest dynamical
tests possible for Modified Newtonian Dynamics (MOND). Spitzer 3.6 micron
photometry fixes the bulge parameterisation and strongly constrains the
properties of the sub-dominant stellar disk. Furthermore, the distance is known
to better than 5 percent, virtually eliminating it as a free parameter. The
rotation curve is easily measured, since the H I (and stellar) disks are edge
on, and both the receding and approaching sides agree very well. In this paper
we explore the agreement between the model and observed rotation curves in MOND
given that the only two free parameters available are the mass-to-light ratios
of the bulge and disk. We use a grid based MOND Poisson solver that accurately
solves for the MOND gravity and produces our model rotation curves from a given
mass distribution. The input to the Poisson solver is a 3D distribution of N
particles which is generated from modelling the observed distribution of stars
and gas in the galaxy. By ensuring a superior fit to the radial surface
brightness profile than previous works, by virtue of a double Sersic fit to the
bulge, we were able to produce excellent fits to the rotation curve with
typical values for both mass-to-light ratios. We conclude that the model
rotation curve of a mass distribution in MOND is extremely sensitive to the
bulge-disk decomposition and even slight deviation from the observed mass
distribution can produce large differences in the model rotation curve.


title: Anomalous velocity distributions in active Brownian suspensions

abstract:
  Large scale simulations and analytical theory have been combined to obtain
the non-equilibrium velocity distribution, $f(v)$, of randomly accelerated
particles in suspension. The simulations are based on an event-driven
algorithm, generalised to include friction. They reveal strongly anomalous but
largely universal distributions which are independent of volume fraction and
collision processes, which suggests a one-particle model should capture all the
essential features. We have formulated this one-particle model and solved it
analytically in the limit of strong damping, where we find that $f(v)$ decays
as $1/v$ for multiple decades, eventually crossing over to a Gaussian decay for
the largest velocities. Many particle simulations and numerical solution of the
one-particle model agree for all values of the damping.


title:
Paley--Wiener Theorems for the U(n)--spherical transform on the
  Heisenberg group

abstract:
  We prove several Paley--Wiener-type theorems related to the spherical
transform on the Gelfand pair $\big(H_n\rtimes U(n),U(n)\big)$, where $H_n$ is
the $2n+1$-dimensional Heisenberg group.
  Adopting the standard realization of the Gelfand spectrum as the Heisenberg
fan in ${\mathbb R}^2$, we prove that spherical transforms of $
U(n)$--invariant functions and distributions with compact support in $H_n$
admit unique entire extensions to ${\mathbb C}^2$, and we find real-variable
characterizations of such transforms. Next, we characterize the inverse
spherical transforms of compactly supported functions and distributions on the
fan, giving analogous characterizations.


title:
Kinetic theory of spatially homogeneous systems with long-range
  interactions: II. Basic equations

abstract:
  We provide a short historic of the early development of kinetic theory in
plasma physics and synthesize the basic kinetic equations describing the
evolution of systems with long-range interactions derived in Paper I. We
describe the evolution of the system as a whole and the relaxation of a test
particle in a bath at equilibrium or out-of-equilibrium. We write these
equations for an arbitrary long-range potential of interaction in a space of
arbitrary dimension d. We discuss the scaling of the relaxation time with the
number of particles for non-singular potentials. For always spatially
homogeneous systems, the relaxation time of the system as a whole scales like N
in d>1 and like N^2 (presumably) in d=1. For always spatially inhomogeneous
systems, the relaxation time of the system as a whole scales like N in any
dimension of space. For one dimensional systems undergoing a dynamical phase
transition from a homogeneous to an inhomogeneous phase, we expect a relaxation
time of the form N^{\delta} with 1<\delta<2 intermediate between the two
previous cases. The relaxation time of a test particle in a bath always scales
like N. We also briefly discuss the kinetic theory of systems with long-range
interactions submitted to an external stochastic potential. This paper gathers
basic equations that are applied to specific systems in Paper III.


title:
Planetary influences on photometric variation of the extreme helium
  subdwarf KIC10449976

abstract:
  We propose that the unstable 3.9days photometric periodicity of the hot
subdwarf (sdO) KIC10449976 results from a tidally locked planet that is heated
to 5000K by the UV radiation from the hot sdO star. Although the bolometric
radiation from the planet is very small relative to that of the star, in the
visible band the planet contributes 0.07% of the light, sufficient to explain
the observed periodic behavior. In our proposed scenario the stochastic
variations in period and light amplitude are attributed to weather on the
planet. Namely, streams on the surface and thermal variations in the planet's
atmosphere that are driven by the heating and by the planet rotation lead to
stochastic changes in the amount of radiation emitted by the planets. We
predict that a careful monitoring will reveal a gas giant planet at an orbital
separation of 8.3Rsun from KIC10449976.


title: Fluctuations of the intergalactic ionization field at redshift z ~ 2

abstract:
  (Abridged) Aims. To probe the spectral energy distribution (SED) of the
ionizing background radiation at z ~ 2 and to specify the sources contributing
to the intergalactic radiation field. Methods. The spectrum of a bright quasar
HS1103+6416 (zem = 2.19) contains five successive metal-line absorption systems
at zabs = 1.1923, 1.7193, 1.8873, 1.8916, and 1.9410. The systems are optically
thin and reveal multiple lines of different metal ions with the ionization
potentials lying in the extreme ultraviolet (EUV) range (1 Ryd to 0.2 keV). For
each system, the EUV SED of the underlying ionization field is reconstructed by
means of a special technique developed for solving the inverse problem in
spectroscopy. For the zabs = 1.8916 system, the analysis also involves the HeI
resonance lines of the Lyman series and the HeI 504 A continuum, which are seen
for the first time in any cosmic object except the Sun. Results. From one
system to another, the SED of the ionizing continuum changes significantly,
indicating that the intergalactic ionization field at z ~ 2 fluctuates at the
scale of at least Delta_z ~ 0.004. This is consistent with Delta_z ~ 0.01
estimated from HeII and HI Lyman-alpha forest measurements between the
redshifts 2 and 3.


title: Driving force of phase transition in Indium nanowires on Si(111)

abstract:
  The precise driving force of the phase transition in indium nanowires on
Si(111) has been controversial whether it is driven by a Peierls instability or
by a simple energy lowering due to a periodic lattice distortion. The present
van der Waals (vdW) corrected hybrid density functional calculation predicts
that the low-temperature 8x2 structure whose building blocks are indium
hexagons is energetically favored over the room-temperature 4x1 structure. We
show that the correction of self-interaction error and the inclusion of vdW
interactions play crucial roles in describing the covalent bonding, band-gap
opening, and energetics of hexagon structures. The results manifest that the
formation of hexagons occurs by a simple energy lowering due to the lattice
distortion, not by a charge density wave formation arising from Fermi surface
nesting.


title:
Self-learning kinetic Monte Carlo model for arbitrary surface
  orientations

abstract:
  While the self-learning kinetic Monte Carlo (SLKMC) method enables the
calculation of transition rates from a realistic potential, implementations of
it were usually limited to one specific surface orientation. An example is the
fcc (111) surface in Latz et al. 2012, J. Phys.: Condens. Matter 24, 485005.
This work provides an extension by means of detecting the local orientation,
and thus allows for the accurate simulation of arbitrarily shaped surfaces. We
applied the model to the diffusion of Ag monolayer islands and voids on a
Ag(111) and Ag(001) surface, as well as the relaxation of a three-dimensional
spherical particle.


title: Gravitating vortons as ring solitons in general relativity

abstract:
  Vortons can be viewed as (flat space-) field theory analogs of black rings in
general relativity. They are made from loops of vortices, being sustained
against collapse by the centrifugal force. In this work we discuss such
configurations in the global version of Witten's U(1)xU(1) theory. We first
consider solutions in a flat spacetime background and show their
non-uniqueness. The inclusion of gravity leads to new features. In particular,
an ergoregion can occur. Also, similar to boson stars, we show that the vortons
exist only in a limited frequency range. The coupling to gravity gives rise to
a spiral-like frequency dependence of the mass and charge. New solutions of the
model describing 'semitopological vortons' and 'di-vortons' are also discussed.


title:
Kinetic theory of spatially homogeneous systems with long-range
  interactions: III. Application to power-law potentials, plasmas, stellar
  systems, and to the HMF model

abstract:
  We apply the general results of the kinetic theory of systems with long-range
interactions to particular systems of physical interest. We consider repulsive
and attractive power-law potentials of interaction r^{-\gamma} with \gamma<d in
a space of dimension d. For \gamma>\gamma_c= (d-1)/2, strong collisions must be
taken into account and the evolution of the system is governed by the Boltzmann
equation or by a modified Landau equation; for \gamma<\gamma_c, strong
collisions are negligible and the evolution of the system is governed by the
Lenard-Balescu equation. In the marginal case \gamma=\gamma_c, we can use the
Landau equation (with appropriately justified cut-offs) as a relevant
approximation of the Boltzmann and Lenard-Balescu equations. The divergence at
small scales that appears in the original Landau equation is regularized by the
effect of strong collisions. In the case of repulsive interactions with a
neutralizing background (e.g. plasmas), the divergence at large scales that
appears in the original Landau equation is regularized by collective effects
accounting for Debye shielding. In the case of attractive interactions (e.g.
gravity), it is regularized by the spatial inhomogeneity of the system and its
finite extent. We provide explicit analytical expressions of the diffusion and
friction coefficients, and of the relaxation time, depending on the value of
the exponent \gamma and on the dimension of space d. We treat in a unified
framework the case of Coulombian plasmas and stellar systems in various
dimensions of space, and the case of the attractive and repulsive HMF models.


title:
The Pythagoras number and the $u$-invariant of Laurent series fields in
  several variables

abstract:
  We show that every sum of squares in the three-variable Laurent series field
$\mathbb{R}((x,y,z))$ is a sum of 4 squares, as was conjectured in a paper of
Choi, Dai, Lam and Reznick in the 1980's. We obtain this result by proving that
every sum of squares in a finite extension of $\mathbb{R}((x,y))$ is a sum of
$3$ squares. It was already shown in Choi, Dai, Lam and Reznick's paper that
every sum of squares in $\mathbb{R}((x,y))$ itself is a sum of two squares. We
give a generalization of this result where $\mathbb{R}$ is replaced by an
arbitrary real field. Our methods yield similar results about the $u$-invariant
of fields of the same type.


title:
Industrial-Strength Model-Based Testing - State of the Art and Current
  Challenges

abstract:
  As of today, model-based testing (MBT) is considered as leading-edge
technology in industry. We sketch the different MBT variants that - according
to our experience - are currently applied in practice, with special emphasis on
the avionic, railway and automotive domains. The key factors for successful
industrial-scale application of MBT are described, both from a scientific and a
managerial point of view. With respect to the former view, we describe the
techniques for automated test case, test data and test procedure generation for
concurrent reactive real-time systems which are considered as the most
important enablers for MBT in practice. With respect to the latter view, our
experience with introducing MBT approaches in testing teams are sketched.
Finally, the most challenging open scientific problems whose solutions are
bound to improve the acceptance and effectiveness of MBT in industry are
discussed.


title: Towards the Usage of MBT at ETSI

abstract:
  In 2012 the Specialists Task Force (STF) 442 appointed by the European
Telcommunication Standards Institute (ETSI) explored the possibilities of using
Model Based Testing (MBT) for test development in standardization. STF 442
performed two case studies and developed an MBT-methodology for ETSI. The case
studies were based on the ETSI-standards GeoNetworking protocol (ETSI TS 102
636) and the Diameter-based Rx protocol (ETSI TS 129 214). Models have been
developed for parts of both standards and four different MBT-tools have been
employed for generating test cases from the models. The case studies were
successful in the sense that all the tools were able to produce the test suites
having the same test adequacy as the corresponding manually developed
conformance test suites. The MBT-methodology developed by STF 442 is based on
the experiences with the case studies. It focusses on integrating MBT into the
sophisticated standardization process at ETSI. This paper summarizes the
results of the STF 442 work.


title: Testing Java implementations of algebraic specifications

abstract:
  In this paper we focus on exploiting a specification and the structures that
satisfy it, to obtain a means of comparing implemented and expected behaviours
and find the origin of faults in implementations. We present an approach to the
creation of tests that are based on those specification-compliant structures,
and to the interpretation of those tests' results leading to the discovery of
the method responsible for an eventual test failure. Results of comparative
experiments with a tool implementing this approach are presented.


title: Decomposability in Input Output Conformance Testing

abstract:
  We study the problem of deriving a specification for a third-party component,
based on the specification of the system and the environment in which the
component is supposed to reside. Particularly, we are interested in using
component specifications for conformance testing of black-box components, using
the theory of input-output conformance (ioco) testing. We propose and prove
sufficient criteria for decompositionality, i.e., that components conforming to
the derived specification will always compose to produce a correct system with
respect to the system specification. We also study the criteria for strong
decomposability, by which we can ensure that only those components conforming
to the derived specification can lead to a correct system.


title:
Runtime Verification Based on Executable Models: On-the-Fly Matching of
  Timed Traces

abstract:
  Runtime verification is checking whether a system execution satisfies or
violates a given correctness property. A procedure that automatically, and
typically on the fly, verifies conformance of the system's behavior to the
specified property is called a monitor. Nowadays, a variety of formalisms are
used to express properties on observed behavior of computer systems, and a lot
of methods have been proposed to construct monitors. However, it is a frequent
situation when advanced formalisms and methods are not needed, because an
executable model of the system is available. The original purpose and structure
of the model are out of importance; rather what is required is that the system
and its model have similar sets of interfaces. In this case, monitoring is
carried out as follows. Two "black boxes", the system and its reference model,
are executed in parallel and stimulated with the same input sequences; the
monitor dynamically captures their output traces and tries to match them. The
main problem is that a model is usually more abstract than the real system,
both in terms of functionality and timing. Therefore, trace-to-trace matching
is not straightforward and allows the system to produce events in different
order or even miss some of them. The paper studies on-the-fly conformance
relations for timed systems (i.e., systems whose inputs and outputs are
distributed along the time axis). It also suggests a practice-oriented
methodology for creating and configuring monitors for timed systems based on
executable models. The methodology has been successfully applied to a number of
industrial projects of simulation-based hardware verification.


title: Top-Down and Bottom-Up Approach for Model-Based Testing of Product Lines

abstract:
  Systems tend to become more and more complex. This has a direct impact on
system engineering processes. Two of the most important phases in these
processes are requirements engineering and quality assurance. Two significant
complexity drivers located in these phases are the growing number of product
variants that have to be integrated into the requirements engineering and the
ever growing effort for manual test design. There are modeling techniques to
deal with both complexity drivers like, e.g., feature modeling and model-based
test design. Their combination, however, has been seldom the focus of
investigation. In this paper, we present two approaches to combine feature
modeling and model-based testing as an efficient quality assurance technique
for product lines. We present the corresponding difficulties and approaches to
overcome them. All explanations are supported by an example of an online shop
product line.


title: The NGC 1614 Interacting Galaxy: Molecular Gas Feeding a "Ring of Fire"

abstract:
  Minor mergers frequently occur between giant and gas-rich low mass galaxies
and can provide significant amounts of interstellar matter to refuel star
formation and power AGN in the giant systems. Major starbursts and/or AGN
result when fresh gas is transported and compressed in the central regions of
the giant galaxy. This is the situation in NGC1614, whose molecular medium we
explore at half arcsecond angular resolution through our observations of
12CO(2-1) emission using the SMA. We compare our maps with optical and Pa
alpha, HST and high angular resolution radio continuum images to study the
relationships between dense molecular gas and the starburst region. The most
intense CO emission occurs in a partial ring with ~230pc radius around the
center, with an extension to the north-west into the dust lane that contains
diffuse molecular gas. We resolve 10 GMAs in the ring which has an integrated
molecular mass of ~8x10^8M_sun. Our observations filter out a large part of the
CO(1-0) emission mapped at shorter spacings, indicating that most of the
molecular gas is diffuse and that GMAs only exist near and within the
circumnuclear ring. The molecular ring is uneven with most of the mass on the
western side, which also contains GMAs extending into a pronounced tidal dust
lane. The spatial and kinematic patterns suggest that the northwest extension
of the ring is a cosmic umbilical cord that is feeding molecular gas associated
with the dust lane and tidal debris into the nuclear ring. The astrophysical
process for producing a ring structure is not fully understood, but the
presence of numerous GMAs suggests an orbit crowding or resonance phenomenon.
There is some evidence that star formation is progressing radially outwards
within the ring, indicating that a self-triggering mechanism may also affect
these processes.


title: Testing the non-linear flux ansatz for maximal supergravity

abstract:
  We put to test the recently proposed non-linear flux ansatz for maximal
supergravity in eleven dimensions, which gives the seven-dimensional flux in
terms of the scalars and pseudoscalars of maximal N=8 supergravity, by
considering a number of non-trivial solutions of gauged supergravity for which
the higher dimensional solutions are known. These include the G$_2$ and
SU(4)$^-$ invariant stationary points. The examples considered constitute a
very non-trivial check of the ansatz, which it passes with remarkable success.


title: Controlling light propagation: a brief review

abstract:
  Recent results by Hoffman et al. showed that it is possible to build a
Negative Refractive Material (NIM) by interleaving InGaAs/AlInAs using current
nanofabrication technologies. Their findings provide the first experimental
proof of a negative refractive semiconductor long posited by transformation
optics. In this paper an overview on semiconductor refractive index theory and
negative refraction is presented, focusing on the results of Hoffman et al. and
the future of the subject based on the theory of Transformation Optics and its
importance to tailor materials electrodynamics properties.


title: Genus expansion of HOMFLY polynomials

abstract:
  In the planar limit of the 't Hooft expansion, the Wilson-loop average in 3d
Chern-Simons theory (i.e. the HOMFLY polynomial) depends in a very simple way
on representation (the Young diagram), so that the (knot-dependent) Ooguri-Vafa
partition function becomes a trivial KP tau-function. We study higher genus
corrections to this formula in the form of expansion in powers of z = q-q^{-1}.
Expansion coefficients are expressed through the eigenvalues of the
cut-and-join operators, i.e. symmetric group characters. Moreover, the
z-expansion is naturally exponentiated. Representation through cut-and-join
operators makes contact with Hurwitz theory and its sophisticated integrability
properties. Our formulas describe the shape of genus expansion for the HOMFLY
polynomials, which for their matrix model counterparts is usually controlled by
Virasoro like constraints and AMM/EO topological recursion. The genus expansion
differs from the better studied weak coupling expansion at finite number of
colors N, which is described in terms of the Vassiliev invariants and
Kontsevich integral.


title: Space-Efficient Las Vegas Algorithms for K-SUM

abstract:
  Using hashing techniques, this paper develops a family of space-efficient Las
Vegas randomized algorithms for $k$-SUM problems. This family includes an
algorithm that can solve 3-SUM in $O(n^2)$ time and $O(\sqrt{n})$ space. It
also establishes a new time-space upper bound for SUBSET-SUM, which can be
solved by a Las Vegas algorithm in $O^*(2^{(1-\sqrt{\8/9\beta})n})$ time and
$O^*(2^{\beta n})$ space, for any $\beta \in [0, \9/32]$.


title:
Testing different methods for atmospheric parameters determination. The
  case study of the Am star HD\,71297

abstract:
  In this paper we present a detailed spectroscopic analysis of the suspected
marginal Am star HD\,71297. Our goal is to test the accuracy of two different
approaches to determine the atmospheric parameters effective temperature,
gravity, projected rotational velocity, and chemical abundances. The methods
used in this paper are: classical spectral synthesis and the {\it Versatile
Wavelength Analysis} ({\sl VWA}) software.
  Since our star is bright and very close to the Sun, we were able to determine
its effective temperature and gravity directly through photometric,
interferometric, and parallax measurements. The values found were taken as
reference to which we compare the values derived by spectroscopic methods. Our
analysis leads us to conclude that the spectroscopic methods considered in this
study to derive fundamental parameters give consistent results, if we consider
all the sources of experimental errors, that have been discussed in the text.
In addition, our study shows that the spectroscopic results are quite as
accurate as those derived from direct measurements.
  As for the specific object analyzed here, according to our analysis,
HD\,71297 has chemical abundances not compatible with the previous spectral
classification. We found moderate underabundances of carbon, sodium, magnesium,
and iron-peak elements, while oxygen, aluminum, silicon, sulfur, and heavy
elements (Z $\geq$ 39) are solar in content. This chemical pattern has been
confirmed by the calculations performed with both methods.


title: Patterns of interval correlations in neural oscillators with adaptation

abstract:
  Neural firing is often subject to negative feedback by adaptation currents.
These currents can induce strong correlations among the time intervals between
spikes. Here we study analytically the interval correlations of a broad class
of noisy neural oscillators with spike-triggered adaptation of arbitrary
strength and time scale. Our weak-noise theory provides a general relation
between the correlations and the phase-response curve (PRC) of the oscillator,
proves anti-correlations between neighboring intervals for adapting neurons
with type I PRC and identifies a single order parameter that determines the
qualitative pattern of correlations. Monotonically decaying or oscillating
correlation structures can be related to qualitatively different voltage traces
after spiking, which can be explained by the phase plane geometry. At high
firing rates, the long-term variability of the spike train associated with the
cumulative interval correlations becomes small, independent of model details.
Our results are verified by comparison with stochastic simulations of the
exponential, leaky, and generalized integrate-and-fire models with adaptation.


title:
From full rank subdivision schemes to multichannel wavelets: A
  constructive approach

abstract:
  In this paper, we describe some recent results obtained in the context of
vector subdivision schemes which possess the so-called full rank property. Such
kind of schemes, in particular those which have an interpolatory nature, are
connected to matrix refinable functions generating orthogonal multiresolution
analyses for the space of vector-valued signals. Corresponding multichannel
(matrix) wavelets can be defined and their construction in terms of a very
efficient scheme is given. Some examples illustrate the nature of these matrix
scaling functions/wavelets.


title: Isochronicity Correction in the CR Storage Ring

abstract:
  A challenge for nuclear physics is to measure masses of exotic nuclei up to
the limits of nuclear existence which are characterized by low production cross
sections and short half-lives. The large acceptance Collector Ring (CR) at FAIR
tuned in the isochronous ion-optical mode offers unique possibilities for
measuring short-lived and very exotic nuclides. However, in a ring designed for
maximal acceptance, many factors limit the resolution. One point is a limit in
time resolution inversely proportional to the transverse emittance. But most of
the time aberrations can be corrected and others become small for large number
of turns. We show the relations of the time correction to the corresponding
transverse focusing and that the main correction for large emittance
corresponds directly to the chromaticity correction for transverse focusing of
the beam. With the help of Monte-Carlo simulations for the full acceptance we
demonstrate how to correct the revolution times so that in principle
resolutions of dm/m=1E-6 can be achieved. In these calculations the influence
of magnet inhomogeneities and extended fringe fields are considered and a
calibration scheme also for ions with different mass-to-charge ratio is
presented.


title:
Interference and transport properties of conductions electrons on the
  surface of a topological insulator

abstract:
  The surface conductivity for conduction electrons with a fixed chirality in a
topological insulator with impurities scattering is considered. The surface
excitations are described by the Weyl Hamiltonian. For a finite chemical
potential one projects out the hole band and one obtains a single electronic
band with a fixed chirality. One obtains a model of spinless electrons which
experience a half vortex when they return to the origin. As a result the
conductivity is equivalent to a spinless problem with correlated noise which
gives rise to anti-localization. We compute conductivity as a function of
frequency and compare our results with the $Raman$ shift measurement for
$Bi_{2}Se_{3}$.


title:
Superharmonic long-range triplet current in a diffusive Josephson
  junction

abstract:
  We study the Josephson current through a long ferromagnetic bilayer in the
diffusive regime. For non-collinear magnetizations, we find that the
current-phase relation is dominated by its second harmonic, which corresponds
to the long-range coherent propagation of two triplet pairs of electrons.


title: Consistent Iterative Hard Thresholding For Signal Declipping

abstract:
  Clipping or saturation in audio signals is a very common problem in signal
processing, for which, in the severe case, there is still no satisfactory
solution. In such case, there is a tremendous loss of information, and
traditional methods fail to appropriately recover the signal. We propose a
novel approach for this signal restoration problem based on the framework of
Iterative Hard Thresholding. This approach, which enforces the consistency of
the reconstructed signal with the clipped observations, shows superior
performance in comparison to the state-of-the-art declipping algorithms. This
is confirmed on synthetic and on actual high-dimensional audio data processing,
both on SNR and on subjective user listening evaluations.


title: Detecting baryon acoustic oscillations by 3d weak lensing

abstract:
  We investigate the possibility of detecting baryon acoustic oscillation
features in the cosmic matter distribution by 3d weak lensing. Baryon
oscillations are inaccessible even to weak lensing tomography because of wide
line-of-sight weighting functions and require a specialized approach via 3d
shear estimates. We quantify the uncertainty of estimating the matter spectrum
amplitude at the baryon oscillations wave vectors by a Fisher-matrix approach
with a fixed cosmology and show in this way that future weak lensing surveys
such as EUCLID and DES are able to pick up the first four wiggles, with EUCLID
giving a better precision in the measurement. We also provide a detailed
investigation of the correlation existing between errors and of their scaling
behavior with respect to survey parameters such as median redshift, error on
redshift, error on the galaxy shape measurement, sky coverage, and finally with
respect to the number of wiggles one is trying to determine.


title: Symmetry breaking of solutions of non-cooperative elliptic systems

abstract:
  In this article we study the symmetry breaking phenomenon of solutions of
noncooperative elliptic systems. We apply the degree for G-invariant strongly
indefinite functionals to obtain simultaneously a symmetry breaking and a
global bifurcation phenomenon.


title: Non-overlapping codes

abstract:
  We say that a $q$-ary length $n$ code is \emph{non-overlapping} if the set of
non-trivial prefixes of codewords and the set of non-trivial suffices of
codewords are disjoint. These codes were first studied by Levenshtein in 1964,
motivated by applications in synchronisation. More recently these codes were
independently invented (under the name \emph{cross-bifix-free} codes) by
Baji\'c and Stojanovi\'c.
  We provide a simple construction for a class of non-overlapping codes which
has optimal cardinality whenever $n$ divides $q$. Moreover, for all parameters
$n$ and $q$ we show that a code from this class is close to optimal, in the
sense that it has cardinality within a constant factor of an upper bound due to
Levenshtein from 1970. Previous constructions have cardinality within a
constant factor of the upper bound only when $q$ is fixed.
  Chee, Kiah, Purkayastha and Wang showed that a $q$-ary length $n$
non-overlapping code contains at most $q^n/(2n-1)$ codewords; this bound is
weaker than the Levenshtein bound. Their proof appealed to the application in
synchronisation: we provide a direct combinatorial argument to establish the
bound of Chee \emph{et al}.
  We also consider codes of short length, finding the leading term of the
maximal cardinality of a non-overlapping code when $n$ is fixed and
$q\rightarrow \infty$. The largest cardinality of non-overlapping codes of
lengths $3$ or less is determined exactly.


title: Dymamical Casimir emission from polariton condensates

abstract:
  We study theoretically the dynamical Casimir effect in an exciton-polariton
condensate that is suddenly created by an ultrashort laser pulse at normal
incidence. As a consequence of the abrupt change of the quantum vacuum,
Bogoliubov excitations are generated. The subsequent evolution, governed by
polariton interactions and losses, is studied within a linearized truncted
Wigner approximation. We focus in particular on the momentum distribution and
spatial coherence. The limiting behavior at large and small momenta is
determined analytically. A simple scaling relation for the final condensate
depletion as a function of the system parameters is found and the correlation
length is shown to depend linearly on the condensate depletion.


title:
Exact theory of dense amorphous hard spheres in high dimension. II. The
  high density regime and the Gardner transition

abstract:
  We consider the theory of the glass phase and jamming of hard spheres in the
large space dimension limit. Building upon the exact expression for the
free-energy functional obtained previously, we find that the Random First Order
Transition (RFOT) scenario is realized here with two thermodynamic transitions:
the usual Kauzmann point associated with entropy crisis, and a further
transition at higher pressures in which a glassy structure of micro-states is
developed within each amorphous state. This kind of glass-glass transition into
a phase dominating the higher densities was described years ago by Elisabeth
Gardner, and may well be a generic feature of RFOT. Micro states that are small
excitations of an amorphous matrix -- separated by low entropic or energetic
barriers -- thus emerge naturally, and modify the high pressure (or low
temperature) limit of the thermodynamic functions.


title: Radio Interferometric Calibration Using a Riemannian Manifold

abstract:
  In order to cope with the increased data volumes generated by modern radio
interferometers such as LOFAR (Low Frequency Array) or SKA (Square Kilometre
Array), fast and efficient calibration algorithms are essential. Traditional
radio interferometric calibration is performed using nonlinear optimization
techniques such as the Levenberg-Marquardt algorithm in Euclidean space. In
this paper, we reformulate radio interferometric calibration as a nonlinear
optimization problem on a Riemannian manifold. The reformulated calibration
problem is solved using the Riemannian trust-region method. We show that
calibration on a Riemannian manifold has faster convergence with reduced
computational cost compared to conventional calibration in Euclidean space.


title: Integrated Mach-Zehnder interferometer for Bose-Einstein condensates

abstract:
  Particle-wave duality enables the construction of interferometers for matter
waves, which complement optical interferometers in precision measurement
devices. This requires the development of atom-optics analogs to beam
splitters, phase shifters, and recombiners. Integrating these elements into a
single device has been a long-standing goal. Here we demonstrate a full
Mach-Zehnder sequence with trapped Bose-Einstein condensates (BECs) confined on
an atom chip. Particle interactions in our BEC matter waves lead to a
non-linearity, absent in photon optics. We exploit it to generate a
non-classical state having reduced number fluctuations inside the
interferometer. Making use of spatially separated wave packets, a controlled
phase shift is applied and read out by a non-adiabatic matter-wave recombiner.
We demonstrate coherence times a factor of three beyond what is expected for
coherent states, highlighting the potential of entanglement as a resource for
metrology. Our results pave the way for integrated quantum-enhanced matter-wave
sensors.


title: Statistical Properties of Galactic {\delta} Scuti Stars: Revisited

abstract:
  We present statistical characteristics of 1,578 {\delta} Scuti stars
including nearby field stars and cluster member stars within the Milky Way. We
obtained 46% of these stars (718 stars) from the works done by Rodr\'{i}guez
and collected the remaining 54% stars (860 stars) from other literatures. We
updated the entries with the latest information of sky coordinate, color,
rotational velocity, spectral type, period, amplitude and binarity. The
majority of our sample are well characterized in terms of typical period range
(0.02-0.25 days), pulsation amplitudes (<0.5 mag) and spectral types (A-F
type). Given this list of {\delta} Scuti stars, we examined relations between
their physical properties (i.e., periods, amplitudes, spectral types and
rotational velocities) for field stars and cluster members, and confirmed that
the correlations of properties are not significantly different from those
reported in the Rodr\'{i}guez's works. All the {\delta} Scuti stars are
cross-matched with several X-ray and UV catalogs, resulting in 27 X-ray and 41
UV-only counterparts. These counterparts are interesting targets for further
study because of their rarity and uniqueness in showing {\delta} Scuti-type
variability and X-ray/UV emission at the same time. The compiled catalog can be
accessed through the web interface http://stardb.yonsei.ac.kr/DeltaScuti


title: Proper triangular Ga-actions on A^4 are translations

abstract:
  We describe the structure of geometric quotients for proper locally
triangulable additve group actions on locally trivial A^3-bundles over a
noetherian normal base scheme X defined over a field of characteristic 0. In
the case where dim X=1, we show in particular that every such action is a
translation with geometric quotient isomorphic to the total space of a vector
bundle of rank 2 over X. As a consequence, every proper triangulable Ga-action
on the affine four space A^4 over a field of characteristic 0 is a translation
with geometric quotient isomorphic to A^3.


title:
Systematic variations of interstellar linear polarization and growth of
  dust grains

abstract:
  A quantitative interpretation of the observed relation between the
interstellar linear polarization curve parameters $K$ and $\lambda_{\max}$
characterizing the width and the wavelength of a polarization maximum,
respectively, is given. The observational data available for 57 stars located
in the dark clouds in Taurus, Chamaeleon, around the stars $\rho$ Oph and R CrA
are considered. The spheroidal particle model of interstellar dust grains
earlier applied to simultaneously interpret the interstellar extinction and
polarization curves in a wide spectral range is utilized. The observed trend $K
\approx 1.7 \lambda_{\max}$ is shown to be most likely related to a growth of
dust grains due to coagulation rather than mantle accretion. The relation of
the parameters $K$ and $\lambda_{\max}$ with an average size of silicate dust
grains is discussed.


title: Long-range coherent coupling in a quantum dot array

abstract:
  Controlling long-range quantum correlations is central to quantum computation
and simulation. In quantum dot arrays, experiments so far rely on
nearest-neighbour couplings only, and inducing long-range correlations requires
sequential local operations. Here we show that two distant sites can be tunnel
coupled directly. The coupling is mediated by virtual occupation of an
intermediate site, with a strength that is controlled via the energy detuning
of this site. It permits a single charge to oscillate coherently between the
outer sites of a triple dot array without passing through the middle, as
demonstrated through the observation of Landau-Zener-St\"uckelberg
interference. The long-range coupling significantly improves the prospects of
fault-tolerant quantum computation using quantum dot arrays and opens up new
avenues for performing quantum simulations in nanoscale devices.


title:
A generalized eigenvalue algorithm for tridiagonal matrix pencils based
  on a nonautonomous discrete integrable system

abstract:
  A generalized eigenvalue algorithm for tridiagonal matrix pencils is
presented. The algorithm appears as the time evolution equation of a
nonautonomous discrete integrable system associated with a polynomial sequence
which has some orthogonality on the support set of the zeros of the
characteristic polynomial for a tridiagonal matrix pencil. The convergence of
the algorithm is discussed by using the solution to the initial value problem
for the corresponding discrete integrable system.


title:
On four-dimensional Goursat problem in the non-classical treatment for a
  hyperbolic equation

abstract:
  There is substantiated the four-dimensional Goursat problem with
non-classical conditions for a hyperbolic equation.


title:
On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level
  S-matrix

abstract:
  We consider superstring theory on AdS_3 x S^3 x T^4 supported by a
combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q).
This theory interpolates between the pure RR flux model (q=0) whose spectrum is
expected to be described by a Bethe ansatz and the pure NSNS flux model (q=1)
which is described by the supersymmetric extension of the SL(2,R) x SU(2) WZW
model. As a first step towards the solution of this integrable theory for
generic value of q we compute the corresponding tree-level S-matrix for massive
BMN-type excitations. We find that this S-matrix has a surprisingly simple
dependence on q: the diagonal amplitudes have exactly the same structure as in
the q=0 case but with the BMN dispersion relation e^2 = p^2 + 1 replaced by the
one with shifted momentum and mass, e^2 = (p + q)^2 + 1 - q^2. The off-diagonal
amplitudes are then determined from the classical Yang-Baxter equation. We also
construct the Pohlmeyer reduced model corresponding to this superstring theory
and find that it depends on q only through its mass-squared parameter
proportional to (1-q^2), implying that its relativistic S-matrix is
q-independent.


title:
Anytime Reliable LDPC Convolutional Codes for Networked Control over
  Wireless Channel

abstract:
  This paper deals with the problem of stabilizing an unstable system through
networked control over the wireless medium. In such a situation a remote sensor
communicates the measurements to the system controller through a noisy channel.
In particular, in the AWGN scenario, we show that protograph-based LDPC
convolutional codes achieve anytime reliability and we also derive a lower
bound to the signal-to-noise ratio required to stabilize the system. Moreover,
on the Rayleigh-fading channel, we show by simulations that resorting to
multiple sensors allows to achieve a diversity gain.


title: On interval edge-colorings of outerplanar graphs

abstract:
  An edge-coloring of a graph $G$ with colors $1,\ldots,t$ is called an
interval $t$-coloring if all colors are used, and the colors of edges incident
to any vertex of $G$ are distinct and form an interval of integers. A graph $G$
is interval colorable if it has an interval $t$-coloring for some positive
integer $t$. For an interval colorable graph $G$, the least value of $t$ for
which $G$ has an interval $t$-coloring is denoted by $w(G)$. A graph $G$ is
outerplanar if it can be embedded in the plane so that all its vertices lie on
the same (unbounded) face. In this paper we show that if $G$ is a 2-connected
outerplanar graph with $\Delta(G)=3$, then $G$ is interval colorable and
\begin{center} $w(G)=\left\{\begin{tabular}{ll} 3, & if $| V(G)|$ is even, \ 4,
& if $| V(G)|$ is odd. \end{tabular}% \right.$ \end{center} We also give a
negative answer to the question of Axenovich on the outerplanar triangulations.


title: Quantitative universality for a class of weakly chaotic systems

abstract:
  We consider a general class of intermittent maps designed to be weakly
chaotic, i.e., for which the separation of trajectories of nearby initial
conditions is weaker than exponential. We show that all its spatio and temporal
properties, hitherto regarded independently in the literature, can be
represented by a single characteristic function $\phi$. A universal criterion
for the choice of $\phi$ is obtained within the Feigenbaum's
renormalization-group approach. We find a general expression for the dispersion
rate $\zeta(t)$ of initially nearby trajectories and we show that the
instability scenario for weakly chaotic systems is more general than that
originally proposed by Gaspard and Wang [Proc. Natl. Acad. Sci. USA {\bf 85},
4591 (1988)]. We also consider a spatially extended version of such class of
maps, which leads to anomalous diffusion, and we show that the mean squared
displacement satisfies $\sigma^{2}(t)\sim\zeta(t)$. To illustrate our results,
some examples are discussed in detail.


title: Jordan Blocks of H^2(D^n)

abstract:
  We develop a several variables analog of the Jordan blocks of the Hardy space
$H^2(\mathbb{D})$. In this consideration, we obtain a complete characterization
of the doubly commuting quotient modules of the Hardy module
$H^2(\mathbb{D}^n)$. We prove that a quotient module $\clq$ of
$H^2(\mathbb{D}^n)$ ($n \geq 2$) is doubly commuting if and only if \[\clq =
\clq_{\Theta_1} \otimes \cdots \otimes \clq_{\Theta_n},\]where each
$\clq_{\Theta_i}$ is either a one variable Jordan block
$H^2(\mathbb{D})/\Theta_i H^2(\mathbb{D})$ for some inner function $\Theta_i$
or the Hardy module $H^2(\mathbb{D})$ on the unit disk for all $i = 1, \ldots,
n$. We say that a submodule $\cls$ of $H^2(\mathbb{D}^n)$ is a co-doubly
commuting if the quotient module $H^2(\mathbb{D}^n)/\cls$ is doubly commuting.
We obtain a Beurling like theorem for the class of co-doubly commuting
submodules of $H^2(\mathbb{D}^n)$. We prove that a submodule $\cls$ of
$H^2(\mathbb{D}^n)$ is co-doubly commuting if and only if \[\cls =
\mathop{\sum}_{i=1}^m \Theta_i H^2(\mathbb{D}^n),\]for some integer $m \leq n$
and one variable inner functions $\{\Theta_i\}_{i=1}^m$.


title: Entropy operator and associated Wigner function

abstract:
  We show how the entropy operators for two subsystems may be calculated. In
the case of the atom-field interaction we obtain the associated Wigner function
for the entropy operator for the quantized field.


title: Relations on Mbar_{g,n} via 3-spin structures

abstract:
  Witten's class on the moduli space of 3-spin curves defines a
(non-semisimple) cohomological field theory. After a canonical modification, we
construct an associated semisimple CohFT with a non-trivial vanishing property
obtained from the homogeneity of Witten's class. Using the classification of
semisimple CohFTs by Givental-Teleman, we derive two main results. The first is
an explicit formula in the tautological ring of Mbar_{g,n} for Witten's class.
The second, using the vanishing property, is the construction of relations in
the tautological ring of Mbar_{g,n}. Pixton has previously conjectured a system
of tautological relations on Mbar_{g,n} (which extends the established
Faber-Zagier relations on M_g). Our 3-spin construction exactly yields Pixton's
conjectured relations. As the classification of CohFTs is a topological result
depending upon the Madsen-Weiss theorem (Mumford's conjecture), our
construction proves relations in cohomology. The study of Witten's class and
the associated tautological relations for r-spin curves via a parallel strategy
will be taken up in a following paper.


title: Scaling in reversible submonolayer deposition

abstract:
  The scaling of island and monomer density, capture zone distributions (CZDs),
and island size distributions (ISDs) in reversible submonolayer growth was
studied using the Clarke-Vvedensky model. An approach based on rate-equation
results for irreversible aggregation (IA) models is extended to predict several
scaling regimes in square and triangular lattices, in agreement with simulation
results. Consistently with previous works, a regime I with fractal islands is
observed at low temperatures, corresponding to IA with critical island size
i=1, and a crossover to a second regime appears as the temperature is increased
to \epsilon R^{2/3} ~ 1, where \epsilon is the single bond detachment
probability and R is the diffusion-to-deposition ratio. In the square
(triangular) lattice, a regime with scaling similar to IA with i=3 (i=2) is
observed after that crossover. In the triangular lattice, a subsequent
crossover to an IA regime with i=3 is observed, which is explained by the
recurrence properties of random walks in two dimensional lattices, which is
beyond the mean-field approaches. At high temperatures, a crossover to a fully
reversible regime is observed, characterized by a large density of small
islands, a small density of very large islands, and total island and monomer
densities increasing with temperature, in contrast to IA models. CZDs and ISDs
with Gaussian right tails appear in all regimes for R ~ 10^7 or larger,
including the fully reversible regime, where the CZDs are bimodal. This shows
that the Pimpinelli-Einstein (PE) approach for IA explains the main mechanisms
for the large islands to compete for free adatom aggregation in the reversible
model, and may be the reason for its successful application to a variety of
materials and growth conditions.


title: Asymptotic expansion of beta matrix models in the multi-cut regime

abstract:
  We push further our study of the all-order asymptotic expansion in beta
matrix models with a confining, offcritical potential, in the regime where the
support of the equilibrium measure is a reunion of segments. We first address
the case where the filling fractions of those segments are fixed, and show the
existence of a 1/N expansion to all orders. Then, we study the asymptotic of
the sum over filling fractions, in order to obtain the full asymptotic
expansion for the initial problem in the multi-cut regime. We describe the
application of our results to study the all-order small dispersion asymptotics
of solutions of the Toda chain related to the one hermitian matrix model (beta
= 2) as well as orthogonal polynomials outside the bulk.


title:
Solution for the dispersive and dissipative atom-field Hamiltonian under
  time dependent linear amplification processes

abstract:
  The dispersive interaction between a two-level atom and a quantized field is
studied. We consider besides a time dependent linear amplification and
dissipative processes. In order to solve the master equation for this system,
we use superoperator techniques.


title:
Linear current fluctuations in the power-law region of metallic carbon
  nanotubes

abstract:
  We study low frequency noise in a non-Ohmic region of metallic single walled
and multiwalled carbon nanotubes. The generalized relative noise appear to be
independent of applied bias in the power-law regime of the tubes and in
agreement with theoretical predictions. Beyond the power law regime the
suppression of conductance due to scattering with optical phonons is
accompanied by a reduction of relative noise by an order of magnitude. Mobility
fluctuations in the tubes due to optical phonon scattering cause the unexpected
reduction in the relative noise magnitude which is modeled using a modified
mobility fluctuation picture. The findings have important implications for
metallic nanotubes being used as interconnects in nanoelectronic devices.


title: Cloud Computing -- An Approach with Modern Cryptography

abstract:
  In this paper we are proposing an algorithm which uses AES technique of
128/192/256 bit cipher key in encryption and decryption of data. AES provides
high security as compared to other encryption techniques along with RSA. Cloud
computing provides the customer with the requested services. It refers to
applications and services that run on distributed network using virtualized
resources and accessed by common IP and network standard. While providing data
services it is becoming important to provide security for data. In cloud
computing keeping data secure is an important issue to be focused. Even though
AES was designed for military purposes, now a days it is been commercially
adopted worldwide as it can encrypt most confidential document, as well as it
can work in most restricted areas, and offers good defense against various
attack techniques, and security level to protect data for next 2-3 decades.


title:
Inverse design of simple pairwise interactions with low-coordinated 3D
  lattice ground states

abstract:
  We demonstrate that inverse statistical mechanical optimization can be used
to discover simple (e.g., short-range, isotropic, and convex-repulsive)
pairwise interparticle potentials with three-dimensional diamond or simple
cubic lattice ground states over a wide range of densities.


title:
Height distributions in competitive one-dimensional Kardar-Parisi-Zhang
  systems

abstract:
  We study the competitive RSOS-BD model focusing on the validity of the
Kardar-Parisi-Zhang (KPZ) ansatz h(t) = v t + (\Gamma t)^{\beta} \chi and the
universality of the height distributions (HDs) near the point where the model
has Edwards-Wilkinson (EW) scaling. Using numerical simulations for long times,
we show that the system is asymptotically KPZ, as expected, for values of the
probability of the RSOS component very close to p = p_c \approx 0.83. Namely,
the growth exponents converge to \beta_{KPZ} = 1/3 and the HDs converge to the
GOE Tracy-Widom distribution, however, the convergence seems to be faster in
the last ones. While the EW-KPZ crossover appears in the roughness scaling in a
broad range of probabilities p around p_c, a Gaussian-GOE crossover is not
observed in the HDs into the same interval, possibly being restricted to values
of p very close to p_c. These results improve recent ones reported by de Assis
et al. [Phys. Rev. E 86, 051607 (2012)], where, based on smaller simulations,
the KPZ scaling was argued to breakdown in broad range of p around p_c.


title:
A Genetic algorithm to solve the container storage space allocation
  problem

abstract:
  This paper presented a genetic algorithm (GA) to solve the container storage
problem in the port. This problem is studied with different container types
such as regular, open side, open top, tank, empty and refrigerated containers.
The objective of this problem is to determine an optimal containers
arrangement, which respects customers delivery deadlines, reduces the rehandle
operations of containers and minimizes the stop time of the container ship. In
this paper, an adaptation of the genetic algorithm to the container storage
problem is detailed and some experimental results are presented and discussed.
The proposed approach was compared to a Last In First Out (LIFO) algorithm
applied to the same problem and has recorded good results


title: Random walk attachment graphs

abstract:
  We consider the random walk attachment graph introduced by Saram\"{a}ki and
Kaski and proposed as a mechanism to explain how behaviour similar to
preferential attachment may appear requiring only local knowledge. We show that
if the length of the random walk is fixed then the resulting graphs can have
properties significantly different from those of preferential attachment
graphs, and in particular that in the case where the random walks are of length
1 and each new vertex attaches to a single existing vertex the proportion of
vertices which have degree 1 tends to 1, in contrast to preferential attachment
models. AMS 2010 Subject Classification: Primary 05C82. Key words and
phrases:random graphs; preferential attachment; random walk.


title:
A Search for Gamma-Ray Emission from Variable or Transient Galactic
  Radio Sources

abstract:
  We describe an ongoing effort using the Fermi Large Area Telescope to search
for gamma-ray emission from a source sample derived from published surveys of
variable or transient galactic radio sources.


title:
Exact dynamics of quantum correlations of two qubits coupled to bosonic
  baths

abstract:
  The counter rotating-wave term (CRT) effects from the system-bath coherence
on the dynamics of quantum correlation of two qubits in two independent baths
and a common bath are systematically investigated. The hierarchy approach is
extended to solve the relevant spin boson models with the Lorentzian spectrum,
the exact dynamics for the quantum entanglement and quantum discord (QD) are
evaluated, and the comparisons with previous ones under the rotating-wave
approximation are performed. For the two independent baths, beyond the weak
system-bath coupling, the CRT essentially changes the evolution of both
entanglement and QD. With the increase of the coupling, the revival of the
entanglement is suppressed dramatically and finally disappears, and the QD
becomes smaller monotonically. For the common bath, the entanglement is also
suppressed by the CRT, but the QD shows quite different behaviors, if initiated
from the correlated Bell states. In the non-Markovian regime, the QD is almost
not influenced by the CRT and generally finite in the long time evolution at
any coupling, while in the Markovian regime, it is significantly enhanced with
the strong coupling.


title: A First Look at creating mock catalogs with machine learning techniques

abstract:
  We investigate machine learning (ML) techniques for predicting the number of
galaxies (N_gal) that occupy a halo, given the halo's properties. These types
of mappings are crucial for constructing the mock galaxy catalogs necessary for
analyses of large-scale structure. The ML techniques proposed here distinguish
themselves from traditional halo occupation distribution (HOD) modeling as they
do not assume a prescribed relationship between halo properties and N_gal. In
addition, our ML approaches are only dependent on parent halo properties (like
HOD methods), which are advantageous over subhalo-based approaches as
identifying subhalos correctly is difficult. We test 2 algorithms: support
vector machines (SVM) and k-nearest-neighbour (kNN) regression. We take
galaxies and halos from the Millennium simulation and predict N_gal by training
our algorithms on the following 6 halo properties: number of particles, M_200,
\sigma_v, v_max, half-mass radius and spin. For Millennium, our predicted N_gal
values have a mean-squared-error (MSE) of ~0.16 for both SVM and kNN. Our
predictions match the overall distribution of halos reasonably well and the
galaxy correlation function at large scales to ~5-10%. In addition, we
demonstrate a feature selection algorithm to isolate the halo parameters that
are most predictive, a useful technique for understanding the mapping between
halo properties and N_gal. Lastly, we investigate these ML-based approaches in
making mock catalogs for different galaxy subpopulations (e.g. blue, red, high
M_star, low M_star). Given its non-parametric nature as well as its powerful
predictive and feature selection capabilities, machine learning offers an
interesting alternative for creating mock catalogs.


title: On the synectic metric in the tangent bundle of a Riemannian manifold

abstract:
  The purpose of this paper is to investigate applications the covariant
derivatives of the covector fields and killing vector fields with respect to
the synectic lift a in a the Riemannian manifold to its tangent bundle, where
Cg-complete lift of the Riemannian metric, Va-vertical lift of the symmetric
tens field of type (0,2) in Mn .


title: Intertwining operators between line bundles on Grassmannians

abstract:
  Let G=GL(n,F) where F is a local field of arbitrary characteristic, and let
$\pi_1,\pi_2$ be representations induced from characters of two maximal
parabolic subgroups $P_1,P_2$. We explicitly determine the space
$Hom_G(\pi_1,\pi_2)$ of intertwining operators and prove that it has dimension
at most 1 in all cases.


title: Higgs bundles for the non-compact dual of the special orthogonal group

abstract:
  Higgs bundles over a closed orientable surface can be defined for any real
reductive Lie group G. In this paper we examine the case G=SO*(2n). We describe
a rigidity phenomenon encountered in the case of maximal Toledo invariant.
Using this and Morse theory in the moduli space of Higgs bundles, we show that
the moduli space is connected in this maximal Toledo case. The Morse theory
also allows us to show connectedness when the Toledo invariant is zero. The
correspondence between Higgs bundles and surface group representations thus
allows us to count the connected components with zero and maximal Toledo
invariant in the moduli space of representations of the fundamental group of
the surface in SO*(2n).


title:
Recent theoretical progress in top quark pair production at hadron
  colliders

abstract:
  This is a writeup of a plenary talk given at the conference {\it HCP 2012}
held November 2012 in Kyoto, Japan. This writeup reviews recent theoretical
developments in the following areas of top quark physics at hadron colliders:
(a) the forward-backward asymmetry anomaly at the Tevatron, (b) precision top
mass determination, (c) state of the art NLO calculations and (d) progress in
NNLO calculations.


title: The Euler-Maxwell two-fluid system in 3D

abstract:
  The fundamental "two-fluid" model for describing plasma dynamics is given by
the Euler-Maxwell system, in which compressible ion and electron fluids
interact with their own self-consistent electromagnetic field. We prove global
stability of a constant neutral background, in the sense that irrotational,
smooth and localized perturbations of a constant background with small
amplitude lead to global smooth solutions in three space dimensions for the
Euler-Maxwell system. Our construction applies equally well to other plasma
models such as the Euler-Poisson system for two-fluids and a relativistic
Euler-Maxwell system for two fluids. Our solutions appear to be the first
nontrivial global smooth solutions in all of these models.


title: Direct measurement of topological invariants in optical lattices

abstract:
  We propose an experimental technique for classifying the topology of band
structures realized in optical lattices, based on a generalization of
topological charge pumping in quantum Hall systems to cold atom in optical
lattices. Time-of-flight measurement along one spatial direction combined with
in situ detection along the transverse direction provide a direct measure of
the system's Chern number, as we illustrate by calculations for the Hofstadter
lattice. Based on an analogy with Wannier functions techniques of topological
band theory, the method is very general and also allows the measurement of
other topological invariants, such as the $Z_2$ topological invariant of
time-reversal symmetric insulators.


title: Isomorphisms of Lattices of Bures-Closed Bimodules over Cartan MASAs

abstract:
  For i=1,2, let (M_i,D_i) be pairs consisting of a Cartan MASA D_i in a von
Neumann algebra M_i, let atom(D_i) be the set of atoms of D_i, and let S_i be
the lattice of Bures-closed D_i bimodules in M_i. We show that when M_i have
separable preduals, there is a lattice isomorphism between S_1 and S_2 if and
only if the sets {(Q_1, Q_2) \in atom(D_i) x atom(D_i): Q_1 M_i Q_2 \neq (0)}
have the same cardinality. In particular, when D_i is non-atomic, S_i is
isomorphic to the lattice of projections in L^\infty([0,1],m) where m is
Lebesgue measure, regardless of the isomorphism classes of M_1 and M_2.


title: Topological methods in 3-dimensional contact geometry

abstract:
  These notes provide an introduction to Giroux's theory of convex surfaces in
contact 3-manifolds and its simplest applications. They put a special emphasis
on pictures and discussions of explicit examples. The first goal is to explain
why all the information about a contact structure in a neighborhood of a
generic surface is encoded by finitely many curves on the surface. Then we
describe the bifurcations that happen in generic families of surfaces. As
applications, we explain how Giroux used this technology to reprove Bennequin's
theorem saying that the standard contact structure on S^3 is tight and
Eliashberg's theorem saying that all tight contact structures on S^3 are
isotopic to the standard one.


title:
Unified Framework of Mean-Field Formulations for Optimal Multi-period
  Mean-Variance Portfolio Selection

abstract:
  The classical dynamic programming-based optimal stochastic control methods
fail to cope with nonseparable dynamic optimization problems as the principle
of optimality no longer applies in such situations. Among these notorious
nonseparable problems, the dynamic mean-variance portfolio selection
formulation had posted a great challenge to our research community until
recently. A few solution methods, including the embedding scheme, have been
developed in the last decade to solve the dynamic mean-variance portfolio
selection formulation successfully. We propose in this paper a novel mean-field
framework that offers a more efficient modeling tool and a more accurate
solution scheme in tackling directly the issue of nonseparability and deriving
the optimal policies analytically for the multi-period mean-variance-type
portfolio selection problems.


title:
The derivation algebra and automorphism group of the (generalized)
  twisted N=2 superconformal algebra

abstract:
  In this paper, we determine the derivation algebra and automorphism group of
the twisted N=2 superconformal algebra. Then we generalize the relative results
to the generalized twisted N=2 superconformal algebra in the final section.


title: Long paths and cycles in random subgraphs of H-free graphs

abstract:
  Let $\mathcal{H}$ be a given finite (possibly empty) family of connected
graphs, each containing a cycle, and let $G$ be an arbitrary finite
$\mathcal{H}$-free graph with minimum degree at least $k$. For $p \in [0,1]$,
we form a $p$-random subgraph $G_p$ of $G$ by independently keeping each edge
of $G$ with probability $p$. Extending a classical result of Ajtai, Koml\'os,
and Szemer\'edi, we prove that for every positive $\varepsilon$, there exists a
positive $\delta$ (depending only on $\varepsilon$) such that the following
holds: If $p \ge \frac{1+\varepsilon}{k}$, then with probability tending to $1$
as $k \to \infty$, the random graph $G_p$ contains a cycle of length at least
$n_{\mathcal{H}}(\delta k)$, where $n_{\mathcal{H}}(k)>k$ is the minimum number
of vertices in an $\mathcal{H}$-free graph of average degree at least $k$. Thus
in particular $G_p$ as above typically contains a cycle of length at least
linear in $k$.


title:
Screening in coupled low-dimensional systems: an effective
  polarizability picture

abstract:
  The screening of an individual low-dimensional object can be strongly
influenced by the objects nearby. We propose that such environment's influence
can be absorbed into an effective polarizability, instead of its intrinsic
polarizability. Using a toy system consists of two spatially separated 2DEG
layers gas an example, this picture is analytically deduced via a
multi-component RPA theoretical method. We show that the resultant effective
polarizability of backside layer is just the dielectric function describing the
system's collective plasmon excitations. Furthermore, several interesting
topics are discussed, e.g. the mutual modulation of Friedel oscillation, the
ultimate screening limit imposed by metal layer, smoothing potential
inhomogeneity in back screening configuration.


title: Infrared dynamics of the massive $\phi^4$ theory on de Sitter space

abstract:
  We study massive real scalar $\phi^4$ theory in the expanding Poincare patch
of de Sitter space. We calculate the leading two-loop infrared contribution to
the two-point function in this theory. We do that for the massive fields both
from the principal and complementary series. As can be expected at this order
light fields from the complementary series show stronger infrared effects than
the heavy fields from the principal one. For the principal series, unlike the
complementary one, we can derive the kinetic equation from the system of
Dyson--Schwinger equation, which allows us to sum up the leading infrared
contributions from all loops. We find two peculiar solutions of the kinetic
equation. One of them describes the stationary Gibbons--Hawking-type
distribution for the density per comoving volume. Another solution shows
explosive (square root of the pole in finite proper time) growth of the
particle number density per comoving volume. That signals the possibility of
the destruction of the expanding Poincare patch even by the very massive
fields. We conclude with the consideration of the infrared divergences in
global de Sitter space and in its contracting Poincare patch.


title:
A kinetic model and scaling properties for non-equilibrium clustering of
  self-propelled particles

abstract:
  We demonstrate that the clustering statistics and the corresponding phase
transition to non-equilibrium clustering found in many experiments and
simulation studies with self-propelled particles (SPPs) with alignment can be
obtained from a simple kinetic model. The key elements of this approach are the
scaling of the cluster cross-section with the cluster mass -- characterized by
an exponent $\alpha$ -- and the scaling of the cluster perimeter with the
cluster mass -- described by an exponent $\beta$. The analysis of the kinetic
approach reveals that the SPPs exhibit two phases: i) an individual phase,
where the cluster size distribution (CSD) is dominated by an exponential tail
that defines a characteristic cluster size, and ii) a collective phase
characterized by the presence of non-monotonic CSD with a local maximum at
large cluster sizes. At the transition between these two phases the CSD is well
described by a power-law with a critical exponent $\gamma$, which is a function
of $\alpha$ and $\beta$ only. The critical exponent is found to be in the range
$0.8 < \gamma < 1.5$ in line with observations in experiments and simulations.


title:
Impact of alloy disorder on the band structure of compressively strained
  GaBiAs

abstract:
  The incorporation of bismuth (Bi) in GaAs results in a large reduction of the
band gap energy (E$_g$) accompanied with a large increase in the spin-orbit
splitting energy ($\bigtriangleup_{SO}$), leading to the condition that
$\bigtriangleup_{SO} > E_g$ which is anticipated to reduce so-called CHSH Auger
recombination losses whereby the energy and momentum of a recombining
electron-hole pair is given to a second hole which is excited into the
spin-orbit band. We theoretically investigate the electronic structure of
experimentally grown GaBi$_x$As$_{1-x}$ samples on (100) GaAs substrates by
directly comparing our data with room temperature photo-modulated reflectance
(PR) measurements. Our atomistic theoretical calculations, in agreement with
the PR measurements, confirm that E$_g$ is equal to $\bigtriangleup_{SO}$ for
$\textit{x} \approx$ 9$%$. We then theoretically probe the inhomogeneous
broadening of the interband transition energies as a function of the alloy
disorder. The broadening associated with spin-split-off transitions arises from
conventional alloy effects, while the behaviour of the heavy-hole transitions
can be well described using a valence band-anticrossing model. We show that for
the samples containing 8.5% and 10.4% Bi the difficulty in identifying a clear
light-hole-related transition energy from the measured PR data is due to the
significant broadening of the host matrix light-hole states as a result of the
presence of a large number of Bi resonant states in the same energy range and
disorder in the alloy. We further provide quantitative estimates of the impact
of supercell size and the assumed random distribution of Bi atoms on the
interband transition energies in GaBi$_{x}$As$_{1-x}$. Our calculations support
a type-I band alignment at the GaBi$_x$As$_{1-x}$/GaAs interface, consistent
with recent experimental findings.


title:
Nuclear matter superfluidity in an effective hadronic field model with
  excluded volume corrections

abstract:
  Properties of the 1S0 superfluid phase are studied for symmetric nuclear
matter at finite temperature. It is described within a covariant hadronic field
model, of the sigma-omega type, with addition of density dependent correlations
simulating effects due to finite extension of nucleons. The model is solved in
a selfconsistent Hartree-Bogoliubov approach, assuming instantaneous
interactions in the superfluid phase. A comparison with the results obtained
from several hadronic field models is done. Main characteristics of our
description of the superfluid gap are in qualitative agreement with some
studies using microscopic potentials, although further refinements could
improve its performance.


title: LLAGN and jet-scaling probed with the EVN

abstract:
  Accreting black holes on all mass scales (from stellar to supermassive)
appear to follow a nonlinear relation between X-ray luminosity, radio
luminosity and BH mass, indicating that similar physical processes drive the
central engines in X-ray binaries and active galactic nuclei (AGN). However, in
recent years an increasing number of BH systems have been identified that do
not fit into this scheme. These outliers may be the key to understand how BH
systems are powered by accretion. Here we present results from EVN observations
of a sample of low-luminosity AGN (LLAGN) with known mass that have unusually
high radio powers when compared with their X-ray luminosity.


title: Parton Distributions and $\alpha_s$ for the LHC

abstract:
  We report on recent determinations of NNLO parton distributions and of
$\alpha_s(M_Z)$ based on the world deep-inelastic data, supplemented by
collider data. Some applications are discussed for semi-inclusive processes at
the LHC.


title:
The VIMOS VLT Deep Survey. The different assembly history of passive and
  star-forming L_B >= L*_B galaxies in the group environment at z < 1

abstract:
  We use the VIMOS VLT Deep Survey to study the close environment of galaxies
in groups at 0.2 <= z < 0.95. Close neighbours of L_B >= L*_B galaxies (Me_B =
M_B + 1.1z <= -20) are identified with Me_B <= -18.25 and within a relative
distance 5h^-1 kpc <= rp <= 100h^-1 kpc and relative velocity Delta v <= 500
km/s . The richness N of a group is defined as the number of Me_B <= -18.25
galaxies belonging to that group. We split our principal sample into red,
passive galaxies with NUV - r >= 4.25 and blue, star-forming galaxies with NUV
- r < 4.25. We find that blue galaxies with a close companion are primarily
located in poor groups, while the red ones are in rich groups. The number of
close neighbours per red galaxy increases with N, with n_red being proportional
to 0.11N, while that of blue galaxies does not depend on N and is roughly
constant. In addition, these trends are found to be independent of redshift,
and only the average n_blue evolves, decreasing with cosmic time. Our results
support the following assembly history of L_B >= L*_B galaxies in the group
environment: red, massive galaxies were formed in or accreted by the dark
matter halo of the group at early times (z >= 1), therefore their number of
neighbours provides a fossil record of the stellar mass assembly of groups,
traced by their richness N. On the other hand, blue, less massive galaxies have
recently been accreted by the group potential and are still in their parent
dark matter halo, having the same number of neighbours irrespective of N. As
time goes by, these blue galaxies settle in the group potential and turn red
and/or fainter, thus becoming satellite galaxies in the group. With a toy
quenching model, we estimate an infall rate of field galaxies into the group
environment of R_infall = 0.9 - 1.5 x 10^-4 Mpc^-3 Gyr^-1 at z ~ 0.7.


title:
Dual dynamics of three dimensional asymptotically flat Einstein gravity
  at null infinity

abstract:
  Starting from the Chern-Simons formulation, the two-dimensional dual theory
for three-dimensional asymptotically flat Einstein gravity at null infinity is
constructed. Solving the constraints together with suitable gauge fixing
conditions gives in a first stage a chiral Wess-Zumino-Witten like model based
on the Poincar\'e algebra in three dimensions. The next stage involves a
Hamiltonian reduction to a BMS3 invariant Liouville theory. These results are
connected to those originally derived in the anti-de Sitter case by rephrasing
the latter in a suitable gauge before taking their flat-space limit.


title: Inner product spaces and Krein spaces in the quaternionic setting

abstract:
  In this paper we provide a study of quaternionic inner product spaces. This
includes ortho-complemented subspaces, fundamental decompositions as well as a
number of results of topological nature. Our main purpose is to show that a
uniformly positive subspace in a quaternionic Krein space is
ortho-complemented, and this leads to our choice of the results presented in
the paper.


title:
The Specific Acceleration Rate in Loop-structured Solar Flares --
  Implications for Electron Acceleration Models

abstract:
  We analyze electron flux maps based on RHESSI hard X-ray imaging spectroscopy
data for a number of extended coronal loop flare events. For each event, we
determine the variation of the characteristic loop length $L$ with electron
energy $E$, and we fit this observed behavior with models that incorporate an
extended acceleration region and an exterior "propagation" region, and which
may include collisional modification of the accelerated electron spectrum
inside the acceleration region. The models are characterized by two parameters:
the plasma density $n$ in, and the longitudinal extent $L_0$ of, the
acceleration region. Determination of the best-fit values of these parameters
permits inference of the volume that encompasses the acceleration region and of
the total number of particles within it. It is then straightforward to compute
values for the emission filling factor and for the {\it specific acceleration
rate} (electrons s$^{-1}$ per ambient electron above a chosen reference
energy). For the 24 events studied, the range of inferred filling factors is
consistent with a value of unity. The inferred mean value of the specific
acceleration rate above $E_0=20$ keV is $\sim10^{-2}$ s$^{-1}$, with a
1$\sigma$ spread of about a half-order-of-magnitude above and below this value.
We compare these values with the predictions of several models, including
acceleration by large-scale, weak (sub-Dreicer) fields, by strong
(super-Dreicer) electric fields in a reconnecting current sheet, and by
stochastic acceleration processes.


title: Nuclear processes in solids: basic 2nd-order processes

abstract:
  Nuclear processes in solid environment are investigated. It is shown that if
a slow, quasi-free heavy particle of positive charge interacts with a "free"
electron of a metallic host, it can obtain such a great magnitude of momentum
in its intermediate state that the probability of its nuclear reaction with an
other positively charged, slow, heavy particle can significantly increase. It
is also shown that if a quasi-free heavy particle of positive charge of
intermediately low energy interacts with a heavy particle of positive charge of
the solid host, it can obtain much greater momentum relative to the former case
in the intermediate state and consequently, the probability of a nuclear
reaction with a positively charged, heavy particle can even more increase. This
mechanism opens the door to a great variety of nuclear processes which up till
know are thought to have negligible rate at low energies. Low energy nuclear
reactions allowed by the Coulomb assistance of heavy charged particles is
partly overviewed. Nuclear $pd$ and $dd$ reactions are investigated
numerically. It was found that the leading channel in all the discussed charged
particle assisted $dd$ reactions is the electron assisted $d+d\rightarrow $
$^{4}He$ process.


title:
Anomalous Transport in Sketched Nanostructures at the LaAlO3/SrTiO3
  Interface

abstract:
  The oxide heterostructure LaAlO3/SrTiO3 supports a two-dimensional electron
liquid with a variety of competing phases including magnetism,
superconductivity and weak antilocalization due to Rashba spin-orbit coupling.
Further confinement of this 2D electron liquid to the quasi-one-dimensional
regime can provide insight into the underlying physics of this system and
reveal new behavior. Here we describe magnetotransport experiments on narrow
LaAlO3/SrTiO3 structures created by a conductive atomic force microscope
lithography technique. Four-terminal local transport measurements on
~10-nm-wide Hall bar structures yield longitudinal resistances that are
comparable to the resistance quantum h/e2 and independent of the channel
length. Large nonlocal resistances (as large as 10^4 ohms) are observed in some
but not all structures with separations between current and voltage that are
large compared to the 2D mean-free path. The nonlocal transport is strongly
suppressed by the onset of superconductivity below ~200 mK. The origin of these
anomalous transport signatures is not understood, but may arise from coherent
transport defined by strong spin-orbit coupling and/or magnetic interactions.


title: Time Evolution of Entanglement Entropy from Black Hole Interiors

abstract:
  We compute the time-dependent entanglement entropy of a CFT which starts in
relatively simple initial states. The initial states are the thermofield double
for thermal states, dual to eternal black holes, and a particular pure state,
dual to a black hole formed by gravitational collapse. The entanglement entropy
grows linearly in time. This linear growth is directly related to the growth of
the black hole interior measured along "nice" spatial slices. These nice slices
probe the spacelike direction in the interior, at a fixed special value of the
interior time. In the case of a two-dimensional CFT, we match the bulk and
boundary computations of the entanglement entropy. We briefly discuss the long
time behavior of various correlators, computed via classical geodesics or
surfaces, and point out that their exponential decay comes about for similar
reasons. We also present the time evolution of the wavefunction in the tensor
network description.


title: On the Invariant Density of the Random Beta-Transformation

abstract:
  We construct a Lebesgue measure preserving natural extension of the random
beta-transformation. This allows us to give a formula for the density of the
absolutely continuous invariant probability measure, answering a question of
Dajani and de Vries, and also to evaluate some estimates on the typical
branching rate of the set of beta-expansions of a real number.


title: Experimental entanglement distribution by separable states

abstract:
  The distribution of entanglement between macroscopically separated parties
represents a crucial protocol for future quantum information networks.
Surprisingly, it has been theoretically shown that two distant systems can be
entangled by sending a third mediating system that is not entangled with either
of them. Such a possibility seems to contradict the intuition that to
distribute entanglement, the transmitted system always needs to be entangled
with the sender. Here, we experimentally distribute entanglement by exchanging
a subsystem and successfully prove that this subsystem is not entangled with
either of the two parties. Our implementation relies on the preparation of a
specific three-mode Gaussian state containing thermal noise that demolishes the
entanglement in two of the three bipartite splittings. After transmission of a
separable mode this noise can be removed by quantum interference. Our work
demonstrates an unexpected variant of entanglement distribution and improves
the understanding necessary to engineer multipartite quantum information
networks.


title:
Topologically trivial zero bias conductance peak in semiconductor
  Majorana wires from boundary effects

abstract:
  We show that a topologically trivial zero bias conductance peak (of height
4e^2/h) is produced in semiconductor-superconductor hybrid nanowires due to a
suppressed pair potential and/or an excess Zeeman field at the ends of the
heterostructure, both of which can occur in experiments. The zero bias peak
(ZBP) (a) appears above a threshold parallel bulk Zeeman field, (b) is stable
for a range of bulk field before splitting, (c) disappears with rotation of the
bulk Zeeman field, and, (d) is robust to weak disorder fluctuations. The ZBPs
from the nanowire ends are also expected to produce splitting oscillations with
the applied field similar to those from Majorana fermions. We find that the
only unambiguous way to distinguish these trivial ZBPs (of height 4e^2/h) from
those arising from Majorana fermions (of height 2e^2/h) is by comparing the
(zero temperature) peak height and/or through an interference experiment.