title:
Star Formation On Sub-kpc Scale Triggered By Non-linear Processes In
  Nearby Spiral Galaxies

abstract:
  We report a super-linear correlation for the star formation law based on new
CO($J$=1-0) data from the CARMA and NOBEYAMA Nearby-galaxies (CANON) CO survey.
The sample includes 10 nearby spiral galaxies, in which structures at sub-kpc
scales are spatially resolved. Combined with the star formation rate surface
density traced by H$\alpha$ and 24 $\mu$m images, CO($J$=1-0) data provide a
super-linear slope of $N$ = 1.3. The slope becomes even steeper ($N$ = 1.8)
when the diffuse stellar and dust background emission is subtracted from the
H$\alpha$ and 24 $\mu$m images. In contrast to the recent results with
CO($J$=2-1) that found a constant star formation efficiency (SFE) in many
spiral galaxies, these results suggest that the SFE is not independent of
environment, but increases with molecular gas surface density. We suggest that
the excitation of CO($J$=2-1) is likely enhanced in the regions with higher
star formation and does not linearly trace the molecular gas mass. In addition,
the diffuse emission contaminates the SFE measurement most in regions where
star formation rate is law. These two effects can flatten the power law
correlation and produce the apparent linear slope. The super linear slope from
the CO($J$=1-0) analysis indicates that star formation is enhanced by
non-linear processes in regions of high gas density, e.g., gravitational
collapse and cloud-cloud collisions.


title: Deep Learning by Scattering

abstract:
  We introduce general scattering transforms as mathematical models of deep
neural networks with l2 pooling. Scattering networks iteratively apply complex
valued unitary operators, and the pooling is performed by a complex modulus. An
expected scattering defines a contractive representation of a high-dimensional
probability distribution, which preserves its mean-square norm. We show that
unsupervised learning can be casted as an optimization of the space contraction
to preserve the volume occupied by unlabeled examples, at each layer of the
network. Supervised learning and classification are performed with an averaged
scattering, which provides scattering estimations for multiple classes.


title: Evolving Gene Regulatory Networks with Mobile DNA Mechanisms

abstract:
  This paper uses a recently presented abstract, tuneable Boolean regulatory
network model extended to consider aspects of mobile DNA, such as transposons.
The significant role of mobile DNA in the evolution of natural systems is
becoming increasingly clear. This paper shows how dynamically controlling
network node connectivity and function via transposon-inspired mechanisms can
be selected for in computational intelligence tasks to give improved
performance. The designs of dynamical networks intended for implementation
within the slime mould Physarum polycephalum and for the distributed control of
a smart surface are considered.


title: Constraints on Dark Matter in the Solar System

abstract:
  We have searched for and estimated the possible gravitational influence of
dark matter in the Solar system based on the EPM2011 planetary ephemerides
using about 677 thousand positional observations of planets and spacecraft.
Most of the observations belong to present-day ranging measurements. Our
estimates of the dark matter density and mass at various distances from the Sun
are generally overridden by their errors ($\sigma$). This suggests that the
density of dark matter ${\rho}_{dm}$, if present, is very low and is much less
than the currently achieved error of these parameters. We have found that
${\rho}_{dm}$ is less than $1.1\cdot10^{-20}$ g cm$^{-3}$ at the orbital
distance of Saturn, ${\rho}_{dm}<1.4\cdot10^{-20}$ g cm$^{-3}$ at the orbital
distance of Mars, and ${\rho}_{dm}<1.4\cdot10^{-19}$ g cm$^{-3}$ at the orbital
distance of the Earth. We also have considered the case of a possible
concentration of dark matter to the Solar system center. The dark matter mass
in the sphere within Saturn's orbit should be less than $1.7\cdot10^{-10}
M_{\odot}$ even if its possible concentration is taken into account.


title: A Survey on Formal Methods for Web Service Composition

abstract:
  Web Service Composition creates new composite Web Services from existing Web
Services which embodies the added values of Web Service technology and is a key
technology to solve cross-organizational business process integrations. We do a
survey on formal methods for Web Service Composition in the following way.
Through analyses of Web Service Composition, we establish a reference model
called RM-WSComposition to capture elements of Web Service Composition. Based
on the RM-WSComposition, issues on formalization for Web Service Composition
are pointed out and state-of-the-art on formal methods for Web Service
Composition is introduced. Finally, we point out the trends on this topic. For
convenience, we use an example called BuyingBooks to illustrate the concepts
and mechanisms in Web Service Composition.


title: Is nonclassicality-breaking the same thing as entanglement-breaking?

abstract:
  Nonclassicality and entanglement are notions fundamental to quantum
information processes involving continuous variable systems. That these two
notions are intimately related has been intuitively appreciated for quite some
time. An aspect of considerable interest is the behaviour of these attributes
of a state under the action of a noisy channel. Inspired by the notion of
entanglement-breaking channels, we define the concept of
nonclassicality-breaking channels in a natural manner. We show that the notion
of nonclassicality-breaking is essentially equivalent---in a clearly defined
sense of the phrase `essentially'---to the notion of entanglement-breaking, as
far as bosonic Gaussian channels are concerned. This is notwithstanding the
fact that the very notion of entanglement-breaking requires reference to a
bipartite system, whereas the definition of nonclassicality-breaking makes no
such reference. Our analysis rests on our classification of channels into
nonclassicality-based, as against entanglement-based, types of canonical forms.
Our result takes ones intuitive understanding of the close relationship between
nonclassicality and entanglement a step closer.


title:
Room temperature all-silicon photonic crystal nanocavity light emitting
  diode at sub-bandgap wavelengths

abstract:
  Silicon is now firmly established as a high performance photonic material.
Its only weakness is the lack of a native electrically driven light emitter
that operates CW at room temperature, exhibits a narrow linewidth in the
technologically important 1300- 1600 nm wavelength window, is small and
operates with low power consumption. Here, an electrically pumped all-silicon
nano light source around 1300-1600 nm range is demonstrated at room
temperature. Using hydrogen plasma treatment, nano-scale optically active
defects are introduced into silicon, which then feed the photonic crystal
nanocavity to enahnce the electrically driven emission in a device via Purcell
effect. A narrow ({\Delta}{\lambda} = 0.5 nm) emission line at 1515 nm
wavelength with a power density of 0.4 mW/cm2 is observed, which represents the
highest spectral power density ever reported from any silicon emitter. A number
of possible improvements are also discussed, that make this scheme a very
promising light source for optical interconnects and other important silicon
photonics applications.


title: Influence of Reciprocal links in Social Networks

abstract:
  In this Letter, we empirically study the influence of reciprocal links, in
order to understand its role in affecting the structure and function of
directed social networks. Experimental results on two representative datesets,
Sina Weibo and Douban, demonstrate that the reciprocal links indeed play a more
important role than non-reciprocal ones in both spreading information and
maintaining the network robustness. In particular, the information spreading
process can be significantly enhanced by considering the reciprocal effect. In
addition, reciprocal links are largely responsible for the connectivity and
efficiency of directed networks. This work may shed some light on the in-depth
understanding and application of the reciprocal effect in directed online
social networks.


title: Variable and clause elimination for LTL satisfiability checking

abstract:
  We study preprocessing techniques for clause normal forms of LTL formulas.
Applying the mechanism of labelled clauses enables us to reinterpret LTL
satisfiability as a set of purely propositional problems and thus to transfer
simplification ideas from SAT to LTL. We demonstrate this by adapting variable
and clause elimination, a very effective preprocessing technique used by modern
SAT solvers. Our experiments confirm that even in the temporal setting
substantial reductions in formula size and subsequent decrease of solver
runtime can be achieved.


title: Radial multipliers on amalgamated free products of II_1-factors

abstract:
  Let $\mathcal{M}_i$ be a family of $\mathrm{II}_1$-factors, containing a
common $\mathrm{II}_1$-subfactor $\mathcal{N}$, such that
$[\mathcal{M}_i:\mathcal{N}] \in \mathbb{N}_0$ for all $i$. Furthermore, let
$\phi \colon \mathbb{N}_0 \to \mathbb{C}$. We show that if a Hankel matrix
related to $\phi$ is trace-class, then there exists a unique completely bounded
map $M_\phi$ on the amalgamated free product of the $\mathcal{M}_i$ with
amalgamation over $\mathcal{N}$, which acts as an radial multiplier. Hereby we
extend a result of U. Haagerup and the author for radial multipliers on reduced
free products of unital $C^*$- and von Neumann algebras.


title: Higgs pair production in the NMSSM at the LHC

abstract:
  In the NMSSM it is well possible to find an additional Higgs boson with a
mass below 125 GeV which remains invisible in standard Higgs boson search
channels. We study the Higgs pair production cross sections times branching
fractions in this scenario, focusing on gluon fusion and the bb+tautau and
bb+gammagamma final states. Summing over the SM-like and the lighter Higgs
states, the production cross sections times branching fractions are never below
the ones for SM Higgs pair production. Sizable enhancements of the signal rates
are also possible, notably if a lighter Higgs state is produced. However, the
rates involving at least one lighter Higgs boson are not always sufficiently
large to guarantee its discovery.


title:
Minimal triangulations of (S^3\times S^1)^{#3} and (S^3 \(twisted
  product) S^1)^{#3}

abstract:
  A triangulated $d$-manifold $K$, satisfies the inequality
$\binom{f_0(K)-d-1}{2}\geq \binom{d+2}{2}\beta_1(K;\mathbb{Z}_2)$ for $d\geq
3$. The triangulated $d$-manifolds that meet the bound with equality are called
{\em tight neighborly}. In this paper, we present tight neighborly
triangulations of 4-manifolds on 15 vertices with $\mathbb{Z}_3$ as
automorphism group. One such example wasconstructed by Bagchi and Datta in
2011. We show that there are exactly 12 such triangulations up to isomorphism,
10 of which are orientable.


title:
Control and manipulation of electromagentically induced transparency in
  a nonlinear optomechanical system with two movable mirrors

abstract:
  We consider an optomechanical cavity made by two moving mirrors which
contains a Kerr-down conversion nonlinear crystal. We show that the coherent
oscillations of the two mechanical oscil- lators can lead to splitting in the
electromagnetically induced transparency (EIT) resonance, and appearance of an
absorption peak within the transparency window. In this configuration the
coher- ent induced splitting of EIT is similar to driving a hyperfine
transition in an atomic Lambda-type three-level system by a radio-frequency or
microwave field. Also, we show that the presence of non- linearity provides an
additional flexibility for adjusting the width of the transparency windows. The
combination of an additional mechanical mode and the nonlinear crystal suggests
new possibilities for adjusting the resonance frequency, the width and the
spectral positions of the EIT windows as well as the enhancement of the
absorption peak within the transparency window.


title: Constraints on neutrino masses from Planck and Galaxy Clustering data

abstract:
  We present here bounds on neutrino masses from the combination of recent
Planck Cosmic Microwave Background measurements and galaxy clustering
information from the Baryon Oscillation Spectroscopic Survey (BOSS), part of
the Sloan Digital Sky Survey-III. We use the full shape of either the
photometric angular clustering (Data Release 8) or the 3D spectroscopic
clustering (Data Release 9) power spectrum in different cosmological scenarios.
In the Lambda$CDM scenario, spectroscopic galaxy clustering measurements
improve significantly the existing neutrino mass bounds from Planck data. We
find sum m_nu< 0.39 eV at 95% confidence level for the combination of the 3D
power spectrum with Planck CMB data (with lensing included) and Wilkinson
Microwave Anisoptropy Probe 9-year polarization measurements. Therefore, robust
neutrino mass constraints can be obtained without the addition of the prior on
the Hubble constant from HST.
  In extended cosmological scenarios with a dark energy fluid or with non flat
geometries, galaxy clustering measurements are essential to pin down the
neutrino mass bounds, providing in the majority of cases better results than
those obtained from the associated measurement of the Baryon Acoustic
Oscillation scale only. In the presence of a freely varying (constant) dark
energy equation of state, we find sum m_nu<0.49 eV at 95% confidence level for
the combination of the 3D power spectrum with Planck CMB data (with lensing
included) and Wilkinson Microwave Anisoptropy Probe 9-year polarization
measurements. This same data combination in non flat geometries provides the
neutrino mass bound sum m_nu<0.35 eV at 95% confidence level.


title:
Leggett modes in iron-based superconductors as a probe of Time Reversal
  Symmetry Breaking

abstract:
  Since their discovery, it has been suggested that pairing in pnictides can be
mediated by spin fluctuations between hole and electron bands. In this view,
multiband superconductivity would substantially differ from other systems like
MgB2, where pairing is predominantly intraband. Indeed, interband-dominated
pairing leads to the coexistence of bonding and antibonding superconducting
channels. Here we show that this has profound consequences on the nature of the
low-energy superconducting collective modes. In particular, the so-called
Leggett mode for phase fluctuations is absent in the usual two-band description
of pnictides. On the other hand, when also the repulsion between the hole bands
is taken into account, a more general three-band description should be used,
and a Leggett mode is then allowed. Such a model, that has been proposed for
strongly hole-doped 122 compounds, can also admit a low-temperature s+is phase
which breaks the time reversal symmetry. We show that the (quantum and thermal)
transition from the ordinary superconductor to the s+is state is accompanied by
the vanishing of the mass of Leggett-like phase fluctuations, regardless the
specific values of the interaction parameters. This general result can be
obtained by means of a generalized construction of the effective action for the
collective degrees of freedom that allows us also to deal with the non-trivial
case of dominant interband pairing.


title:
The electroweak contributions to (g-2)_\mu\ after the Higgs boson mass
  measurement

abstract:
  The Higgs boson mass used to be the only unknown input parameter of the
electroweak contributions to (g-2)_\mu\ in the Standard Model. It enters at the
two-loop level in diagrams with e.g. top loops, W- or Z-exchange. We
re-evaluate these contributions, providing analytic expressions and exact
numerical results for the Higgs boson mass recently measured at the LHC. Our
final result for the full Standard Model electroweak contributions is
(153.6\pm1.0)*10^{-11}, where the remaining theory error comes from unknown
three-loop contributions and hadronic uncertainties.


title:
A data mining approach using transaction patterns for card fraud
  detection

abstract:
  Credit and debit cards, rather than actual money, have become the universal
payment means. With these cards, it has become possible to buy expensive items
easily without an additional complex authentication procedure being conducted.
However, card transaction features are targeted by criminals seeking to use a
lost or stolen card and looking for a chance to replicate it. Accidents,
whether caused by the negligence of users or not, that lead to a transaction
being performed by a criminal rather than the authorized card user should be
prevented. Therefore, card companies are providing their clients with a variety
of policies and standards to cover this eventuality. Card companies must
therefore be able to distinguish between the rightful user and illegal users
according to these standards in order to minimize damage resulting from
unauthorized transactions.
  However, there is a limit to applying the same fixed standards to all card
users, since the transaction patterns of people differ and even individuals'
transaction patterns may change frequently due to changes income and
consumption preference. Therefore, when only a specific threshold is applied,
it is difficult to distinguish a fraudulent card transaction from a legitimate
one.
  In this paper, we present methods for learning the individual patterns of a
card user's transaction amount and the region in which he or she uses the card,
for a given period, and for determining whether the specified transaction is
allowable in accordance with these learned user transaction patterns. Then, we
classify legitimate transactions and fraudulent transactions by setting
thresholds based on the learned individual patterns.


title: Linear multi-step schemes for BSDEs

abstract:
  We study the convergence rate of a class of linear multi-step methods for
BSDEs. We show that, under a sufficient condition on the coefficients, the
schemes enjoy a fundamental stability property. Coupling this result to an
analysis of the truncation error allows us to design approximation with
arbitrary order of convergence. Contrary to the analysis performed in
\cite{zhazha10}, we consider general diffusion model and BSDEs with driver
depending on $z$. The class of methods we consider contains well known methods
from the ODE framework as Nystrom, Milne or Adams methods. We also study a
class of Predictor-Correctot methods based on Adams methods. Finally, we
provide a numerical illustration of the convergence of some methods.


title:
New Geometric Transition as Origin of Particle Production in
  Time-Dependent Backgrounds

abstract:
  By extending the quantum evolution of a scalar field in time-dependent
backgrounds to the complex-time plane and transporting the in-vacuum along a
closed path, we argue that the geometric transition from the simple pole at
infinity determines the multi-pair production depending on the winding number.
We apply the geometric transition to Schwinger mechanism in the time-dependent
vector potential for a constant electric field and to Gibbons-Hawking particle
production in the planar coordinates of a de Sitter space.


title: Spectral redemption: clustering sparse networks

abstract:
  Spectral algorithms are classic approaches to clustering and community
detection in networks. However, for sparse networks the standard versions of
these algorithms are suboptimal, in some cases completely failing to detect
communities even when other algorithms such as belief propagation can do so.
Here we introduce a new class of spectral algorithms based on a
non-backtracking walk on the directed edges of the graph. The spectrum of this
operator is much better-behaved than that of the adjacency matrix or other
commonly used matrices, maintaining a strong separation between the bulk
eigenvalues and the eigenvalues relevant to community structure even in the
sparse case. We show that our algorithm is optimal for graphs generated by the
stochastic block model, detecting communities all the way down to the
theoretical limit. We also show the spectrum of the non-backtracking operator
for some real-world networks, illustrating its advantages over traditional
spectral clustering.

categories: cs.SI cond-mat.stat-mech physics.soc-ph stat.ML


title: Condensed Matter Applications of Entanglement Theory

abstract:
  These are lecture notes from the 44th IFF Spring School "Quantum Information
Processing" in Juelich, discussing applications of entanglement theory in
condensed matter. The focus of the notes is on tensor network states, in
particular Matrix Product States (MPS) and Projected Entangled Pair States
(PEPS), which provide an efficient description of many-body states based on
their entanglement structure; both numerical and analytical aspects of tensor
networks are being covered. The notes close with a brief introduction to
quantum complexity, which allows to assess the limitations to our ability to
simulate quantum many-body systems.


title:
Tunability versus deviation sensitivity in a non-linear vortex
  oscillator

abstract:
  Frequency modulation experiments were performed on a spin torque vortex
oscillator for a wide range of modulation frequency, up to 10 % of the
oscillator frequency. A thorough analysis of the intermodulation products shows
that the key parameter that describes these experiments is the deviation
sensitivity, which is the dynamical frequency-current dependence. It differs
significantly from the oscillator tunability discussed so far in the context of
spin-transfer oscillators. The essential difference between these two concepts
is related to the response time of the vortex oscillator, driven either in
quasi-steady state or in a transient regime.


title: Semigroup C*-algebras of $ax+b$-semigroups

abstract:
  We study semigroup C*-algebras of $ax+b$-semigroups over integral domains.
The goal is to generalize several results about C*-algebras of
$ax+b$-semigroups over rings of algebraic integers. We prove results concerning
K-theory and structural properties like the ideal structure or pure
infiniteness. Our methods allow us to treat $ax+b$-semigroups over a large
class of integral domains containing all noetherian, integrally closed domains
and coordinate rings of affine varieties over infinite fields.


title: Correlated random features for fast semi-supervised learning

abstract:
  This paper presents Correlated Nystrom Views (XNV), a fast semi-supervised
algorithm for regression and classification. The algorithm draws on two main
ideas. First, it generates two views consisting of computationally inexpensive
random features. Second, XNV applies multiview regression using Canonical
Correlation Analysis (CCA) on unlabeled data to bias the regression towards
useful features. It has been shown that, if the views contains accurate
estimators, CCA regression can substantially reduce variance with a minimal
increase in bias. Random views are justified by recent theoretical and
empirical work showing that regression with random features closely
approximates kernel regression, implying that random views can be expected to
contain accurate estimators. We show that XNV consistently outperforms a
state-of-the-art algorithm for semi-supervised learning: substantially
improving predictive performance and reducing the variability of performance on
a wide variety of real-world datasets, whilst also reducing runtime by orders
of magnitude.


title:
A study of polymer knots using a simple knot invariant written
  consisting of multiple contour integrals

abstract:
  In this work the thermodynamic properties of short polymer knots (up to 120
segments) defined on a simple cubic lattice are studied with the help of the
Wang-Landau Monte Carlo algorithm. The sampling process is performed using
pivot transformations starting from a given seed conformation. Both cases of
short-range attractive and repulsive interactions acting on the monomers are
considered. The properties of the specific energy, heat capacity and gyration
radius of several knots are discussed. It is found that the heat capacity
exhibits a sharp peak. If the interactions are attractive, similar peaks have
been observed also in single open chains and have been related to the
transition from a frozen crystallite state to an expanded coil state. Some
other peculiarities of the behavior of the analyzed observables are presented,
like for instance the increasing or decreasing of the knot specific energy at
high temperatures with increasing polymer lengths depending if the interactions
are attractive or repulsive. Besides the investigation of the thermodynamics of
polymer knots, the second goal of this paper is to introduce a method for
distinguishing the topology of a knot based on a topological invariant which is
in the form of multiple contour integrals and explicitly depends on the
physical trajectory of the knot. The chosen invariant is related to the second
coefficient of the Conway polynomial. It has been first isolated from the
amplitudes of a Chern-Simons field theory with gauge group SU(N). It is shown
that this invariant is very reliable in distinguishing the topology of polymer
knots. One of the advantages of the proposed approach is that it allows to
reduce the number of samples needed by the Wang-Landau algorithm. Some
solutions to speed up the calculations exploiting Monte Carlo integration
techniques are developed.


title: Multiple non-negative solutions of systems with coupled nonlinear BCs

abstract:
  Using the theory of fixed point index, we discuss the existence and
multiplicity of non-negative solutions of a wide class of boundary value
problems with coupled nonlinear boundary conditions. Our approach is fairly
general and covers a variety of situations. We illustrate our theory in an
example all the constants that occur in our theory.


title: Quantum Fluctuation Relations for Ensembles of Wave Functions

abstract:
  New quantum fluctuation relations are presented. In contrast with the the
standard approach, where the initial state of the driven system is described by
the (micro)canonical density matrix, here we assume that it is described by a
(micro)canonical distribution of wave functions, as originally proposed by
Schr\"odinger. While the standard fluctuation relations are based on von
Neumann measurement postulate, these new fluctuation relations do not involve
any quantum collapse, but involve instead a notion of work as the change in
expectation of the Hamiltonian.


title:
Dynamics of the Modulational Instability in Microresonator Frequency
  Combs

abstract:
  A study is made of frequency comb generation described by the driven and
damped nonlinear Schr\"odinger equation on a finite interval. It is shown that
frequency comb generation can be interpreted as a modulational instability of
the continuous wave pump mode, and a linear stability analysis, taking into
account the cavity boundary conditions, is performed. Further, a truncated
three-wave model is derived, which allows one to gain additional insight into
the dynamical behaviour of the comb generation. This formalism describes the
pump mode and the most unstable sideband and is found to connect the coupled
mode theory with the conventional theory of modulational instability. An
in-depth analysis is done of the nonlinear three-wave model. It is demonstrated
that stable frequency comb states can be interpreted as attractive fixed points
of a dynamical system. The possibility of soft and hard excitation states in
both the normal and the anomalous dispersion regime is discussed.
Investigations are made of bistable comb states, and the dependence of the
final state on the way the comb has been generated. The analytical predictions
are verified by means of direct comparison with numerical simulations of the
full equation and the agreement is discussed.


title:
Characterising Complexity Classes by Inductive Definitions in Bounded
  Arithmetic

abstract:
  Famous descriptive characterisations of P and PSPACE are restated in terms of
the Cook-Nguyen style second order bounded arithmetic. We introduce an axiom of
inductive definitions over second order bounded arithmetic. We show that P can
be captured by the axiom of inflationary inductive definitions whereas PSPACE
can be captured by the axiom of non-inflationary inductive definitions.


title:
Benchmarking electron-cloud simulations and pressure measurements at the
  LHC

abstract:
  During the beam commissioning of the Large Hadron Collider (LHC) with 150,
75, 50 and 25-ns bunch spacing, important electron-cloud effects, like pressure
rise, cryogenic heat load, beam instabilities or emittance growth, were
observed. A method has been developed to infer different key beam-pipe surface
parameters by benchmarking simulations and pressure rise observed in the
machine. This method allows us to monitor the scrubbing process (i.e. the
reduction of the secondary emission yield as a function of time) in the regions
where the vacuum-pressure gauges are located, in order to decide on the most
appropriate strategies for machine operation. In this paper we present the
methodology and first results from applying this technique to the LHC.


title:
Estimation and correction of wavefront aberrations using the
  self-coherent camera: laboratory results

abstract:
  Direct imaging of exoplanets requires very high contrast levels, which are
obtained using coronagraphs. But residual quasi-static aberrations create
speckles in the focal plane downstream of the coronagraph which mask the
planet. This problem appears in ground-based instruments as well as in
space-based telescopes. An active correction of these wavefront errors using a
deformable mirror upstream of the coronagraph is mandatory, but conventional
adaptive optics are limited by differential path aberrations. Dedicated
techniques have to be implemented to measure phase and amplitude errors
directly in the science focal plane. First, we propose a method for estimating
phase and amplitude aberrations upstream of a coronagraph from the speckle
complex field in the downstream focal plane. Then, we present the self-coherent
camera, which uses the coherence of light to spatially encode the focal plane
speckles and retrieve the associated complex field. This enable us to estimate
and compensate in a closed loop for the aberrations upstream of the
coronagraph. We conducted numerical simulations as well as laboratory tests
using a four-quadrant phase mask and a 32x32 actuator deformable mirror. We
demonstrated in the laboratory our capability to achieve a stable closed loop
and compensate for phase and amplitude quasi-static aberrations. We determined
the best-suited parameter values to implement our technique. Contrasts better
than 10-6 between 2 and 12 lambda/D and even 3.10-7 (RMS) between 7 and 11
lambda/D were reached in the focal plane. It seems that the contrast level is
mainly limited by amplitude defects created by the surface of the deformable
mirror and by the dynamic of the detector. These results are promising for a
future application to a dedicated space mission for exoplanet characterization.
A number of possible improvements have been identified.


title:
Towards two-body strong decay behavior of higher $\rho$ and $\rho_3$
  mesons

abstract:
  In this work, we systematically study the two-body strong decay of the
$\rho/\rho_3$ states, which are observed and grouped into the $\rho/\rho_3$
meson family. By performing the phenomenological analysis, the underlying
properties of these states are obtained and tested. What is more important is
that abundant information of their two-body strong decays is predicted, which
will be helpful to further and experimentally study these states.


title:
Melting of chiral order in terbium manganate (TbMnO3) observed with
  resonant x-ray Bragg diffraction

abstract:
  Resonant Bragg diffraction of soft, circularly polarized x-rays has been used
to observe directly the temperature dependence of chiral-order melting in a
motif of Mn ions in terbium manganate. The underlying mechanism uses the b-axis
component of a cycloid, which vanishes outside the polar phase. Melting is
witnessed by the first and second harmonics of a cycloid, and we explain why
the observed temperature dependence is different in the two harmonics. Our
direct observation of melting is supported by a solid foundation of evidence,
derived from extensive studies of the azimuthal-angle dependence of intensities
with both linear and circular polarization.


title: A Post-Newtonian approach to black hole-fluid systems

abstract:
  This work devises a formalism to obtain the equations of motion for a black
hole-fluid configuration. Our approach is based on a Post-Newtonian expansion
and adapted to scenarios where obtaining the relevant dynamics requires long
time-scale evolutions. These systems are typically studied with Newtonian
approaches, which have the advantage that larger time-steps can be employed
than in full general-relativistic simulations, but have the downside that
important physical effects are not accounted for. The formalism presented here
provides a relatively straightforward way to incorporate those effects in
existing implementations, up to 2.5PN order, with lower computational costs
than fully relativistic simulations.


title:
Fluctuations of motifs and non self-averaging in complex networks. A
  self- vs non-self-averaging phase transition scenario

abstract:
  Complex networks have been mostly characterized from the point of view of the
degree distribution of their nodes and a few other motifs (or modules), with a
special attention to triangles and cliques. The most exotic phenomena have been
observed when the exponent $\gamma$ of the associated power law
degree-distribution is sufficiently small. In particular, a zero percolation
threshold takes place for $\gamma<3$, and an anomalous critical behavior sets
in for $\gamma<5$. In this Letter we prove that in sparse scale-free networks
characterized by a cut-off scaling with the sistem size $N$, relative
fluctuations are actually never negligible: given a motif $\Gamma$, we analyze
the relative fluctuations $R_{\Gamma}$ of the associated density of $\Gamma$,
and we show that there exists an interval in $\gamma$, $[\gamma_1,\gamma_2]$,
where $R_{\Gamma}$ does not go to zero in the thermodynamic limit, where
$\gamma_1\approx k_{\mathrm{min}}$ and $\gamma_2\approx 2 k_{\mathrm{max}}$,
$k_{\mathrm{min}}$ and $k_{\mathrm{max}}$ being the smallest and the largest
degree of $\Gamma$, respectively. Remarkably, in $(\gamma_1,\gamma_2)$
$R_{\Gamma}$ diverges, implying the instability of $\Gamma$ to small
perturbations.


title: Two-loop static potential in N=4 supersymmetric Yang-Mills theory

abstract:
  We compute the soft contribution to the static energy of two heavy colour
sources interacting via a N=4 supersymmetric Yang-Mills theory. Both singlet
and octet colour configurations are considered. Our calculations complete
recent considerations of the ultrasoft contributions.


title: The Formation and Dynamics of Super-Earth Planets

abstract:
  Super-Earths, objects slightly larger than Earth and slightly smaller than
Uranus, have found a special place in exoplanetary science. As a new class of
planetary bodies, these objects have challenged models of planet formation at
both ends of the spectrum and have triggered a great deal of research on the
composition and interior dynamics of rocky planets in connection to their
masses and radii. Being relatively easier to detect than an Earth-sized planet
at 1 AU around a G star, super-Earths have become the focus of worldwide
observational campaigns to search for habitable planets. With a range of masses
that allows these objects to retain moderate atmospheres and perhaps even plate
tectonics, super-Earths may be habitable if they maintain long-term orbits in
the habitable zones of their host stars. Given that in the past two years a few
such potentially habitable super-Earths have in fact been discovered, it is
necessary to develop a deep understanding of the formation and dynamical
evolution of these objects. This article reviews the current state of research
on the formation of super-Earths and discusses different models of their
formation and dynamical evolution.


title:
Combinatorial method of polynomial expansion of symmetric Boolean
  functions

abstract:
  A novel polynomial expansion method of symmetric Boolean functions is
described. The method is efficient for symmetric Boolean function with small
set of valued numbers and has the linear complexity for elementary symmetric
Boolean functions, while the complexity of the known methods for this class of
functions is quadratic. The proposed method is based on the consequence of the
combinatorial Lucas theorem.


title:
Use of MESSENGER radioscience data to improve planetary ephemeris and to
  test general relativity

abstract:
  The current knowledge of Mercury orbit has mainly been gained by direct radar
ranging obtained from the 60s to 1998 and by five Mercury flybys made by
Mariner 10 in the 70s, and MESSENGER made in 2008 and 2009. On March 18, 2011,
MESSENGER became the first spacecraft to orbit Mercury. The radioscience
observations acquired during the orbital phase of MESSENGER drastically
improved our knowledge of the orbit of Mercury. An accurate MESSENGER orbit is
obtained by fitting one-and-half years of tracking data using GINS orbit
determination software. The systematic error in the Earth-Mercury geometric
positions, also called range bias, obtained from GINS are then used to fit the
INPOP dynamical modeling of the planet motions. An improved ephemeris of the
planets is then obtained, INPOP13a, and used to perform general relativity
tests of PPN-formalism. Our estimations of PPN parameters (beta and gamma?) are
more stringent than previous results.


title: Anomalies and Renormalization of Impure States in Quantum Theories

abstract:
  In a Hamiltonian approach to anomalies parity and time reversal symmetries
can be restored by introducing suitable impure (or mixed) states. However, the
expectation values of observables such as the Hamiltonian diverges in such
impure states. Here we show that such divergent expectation values can be
treated within a renormalization group framework, leading to a set of
$\beta$-functions in the moduli space of the operators representing the
observables. This leads to well defined expectation values of the Hamiltonian
in a phase where the impure state restores the $P$ and $T$ symmetry. We also
show that this RG procedure leads to a mass gap in the spectrum. Such a
framework may be relevant for long wavelength descriptions of condensed matter
systems such as the quantum spin Hall effect.

categories: hep-th cond-mat.str-el math-ph math.MP quant-ph


title:
Expanding the expressive power of Monadic Second-Order logic on
  restricted graph classes

abstract:
  We combine integer linear programming and recent advances in Monadic
Second-Order model checking to obtain two new algorithmic meta-theorems for
graphs of bounded vertex-cover. The first shows that cardMSO1, an extension of
the well-known Monadic Second-Order logic by the addition of cardinality
constraints, can be solved in FPT time parameterized by vertex cover. The
second meta-theorem shows that the MSO partitioning problems introduced by Rao
can also be solved in FPT time with the same parameter. The significance of our
contribution stems from the fact that these formalisms can describe problems
which are W[1]-hard and even NP-hard on graphs of bounded tree-width.
Additionally, our algorithms have only an elementary dependence on the
parameter and formula. We also show that both results are easily extended from
vertex cover to neighborhood diversity.


title: Dugundji's Canonical Covers, asymptotic and covering dimension

abstract:
  Given a nowheredense closed subset $X$ of a metrizable compact space $\tx$,
we characterize the dimension of $X$ in terms of the multiplicity of the
canonicals covers of the complementary of $X$, specially in some particular
cases, like when $\tx$ is the Hilbert cube or the finite dimensional cube and
$X$, a Z-set of $\tx$. In this process, we solve some questions in the
literature.


title:
Nuclear interactions with modern three-body forces lead to the
  instability of neutron matter and neutron stars

abstract:
  It is shown that the neutron matter interacting through Argonne V18
pair-potential plus modern variants of Urbana or Illinois three-body forces is
unstable. For the energy of $N$ neutrons $E(N)$, which interact through these
forces, we prove mathematically that $E(N) = -cN^3 + \mathcal{O}(N^{8/3})$,
where $c>0$ is a constant. This means that: (i) the energy per particle and
neutron density diverge rapidly for large neutron numbers; (ii) bound states of
$N$ neutrons exist for $N$ large enough. The neutron matter collapse is
possible due to the form of the repulsive core in three-body forces, which
vanishes when three nucleons occupy the same site in space. The old variant of
the forces Urbana VI, where the phenomenological repulsive core does not vanish
at the origin, resolves this problem. We prove that to prevent the collapse one
should add a repulsive term to the Urbana IX potential, which should be larger
than 50 MeV when 3 nucleons occupy the same spatial position.


title: Measurement of gamma using B -> K pi pi and B -> K K Kbar decays

abstract:
  The BaBar measurements of the Dalitz plots for B0 -> K+ pi0 pi-, B0 -> K0 pi+
pi-, B+ -> K+ pi+ pi-, B0 -> K+ K0 K-, and B0 -> K0 K0 Kbar0 decays are used to
cleanly extract the weak phase gamma. We find four possible solutions:
$(31^{+2}_{-3})^\circ$, $(77 \pm 3)^\circ$, $(258^{+4}_{-3})^\circ$, and
$(315^{+3}_{-2})^\circ$. One solution -- $(77 \pm 3)^\circ$ -- is consistent
with the SM. Its error, which includes leading-order flavor-SU(3) breaking, is
far smaller than that obtained using two-body B decays.


title:
Condition for the formation of micron-sized dust grains in dense
  molecular cloud cores

abstract:
  We investigate the condition for the formation of micron-sized grains in
dense cores of molecular clouds. This is motivated by the detection of the
mid-infrared emission from deep inside a number of dense cores, the so-called
`coreshine,' which is thought to come from scattering by micron-sized grains.
Based on numerical calculations of coagulation starting from the typical grain
size distribution in the diffuse interstellar medium, we obtain a conservative
lower limit to the time $t$ to form micron-sized grains: $t/t_\mathrm{ff}>3
(5/S) (n_\mathrm{H}/10^5 \mathrm{cm}^{-3})^{-1/4}$ (where $t_\mathrm{ff}$ is
the free-fall time at hydrogen number density $n_\mathrm{H}$ in the core, and
$S$ the enhancement factor to the grain-grain collision cross-section to
account for non-compact aggregates). At the typical core density
$n_\mathrm{H}=10^5 \mathrm{cm}^{-3}$, it takes at least a few free-fall times
to form the micron-sized grains responsible for coreshine. The implication is
that those dense cores observed in coreshine are relatively long-lived entities
in molecular clouds, rather than dynamically transient objects that last for
one free-fall time or less.


title:
On the quasistatic effective elastic moduli for elastic waves in
  three-dimensional phononic crystals

abstract:
  Effective elastic moduli for 3D solid-solid phononic crystals of arbitrary
anisotropy and oblique lattice structure are formulated analytically using the
plane-wave expansion (PWE) method and the recently proposed monodromy-matrix
(MM) method. The latter approach employs Fourier series in two dimensions with
direct numerical integration along the third direction. As a result, the MM
method converges much quicker to the exact moduli in comparison with the PWE as
the number of Fourier coefficients increases. The MM method yields a more
explicit formula than previous results, enabling a closed-form upper bound on
the effective Christoffel tensor. The MM approach significantly improves the
efficiency and accuracy of evaluating effective wave speeds for high-contrast
composites and for configurations of closely spaced inclusions, as demonstrated
by three-dimensional examples.


title: A Note on Elementary Cellular Automata Classification

abstract:
  We overview and compare classifications of elementary cellular automata,
including Wolfram's, Wuensche's, Li and Packard, communication complexity,
power spectral, topological, surface, compression, lattices, and morphological
diversity classifications. This paper summarises several classifications of
elementary cellular automata (ECA) and compares them with a newly proposed one,
that induced by endowing rules with memory.


title: Hypomorphic Sperner systems and nonreconstructible functions

abstract:
  A reconstruction problem is formulated for Sperner systems, and infinite
families of nonreconstructible Sperner systems are presented. This has an
application to a reconstruction problem for functions of several arguments and
identification minors. Sperner systems being representations of certain
monotone functions, infinite families of nonreconstructible functions are thus
obtained. The clones of Boolean functions are completely classified in regard
to reconstructibility.


title:
An X-ray cooling-core cluster surrounding a low power Compact Steep
  Spectrum Radio source 1321+045

abstract:
  We discovered an X-ray cluster in a Chandra observation of the compact steep
spectrum (CSS) radio source 1321+045 (z=0.263). CSS sources are thought to be
young radio objects at the beginning of their evolution and can potentially
test the cluster heating process. 1321+045 is a relatively low luminosity
source and its morphology consists of two radio lobes on the opposite sides of
a radio core with no evidence for jets or hotspots. The optical emission line
ratios are consistent with an interstellar medium (ISM) dominated by
AGN-photoionization with a small contribution from star formation, and no
contributions from shocks. Based on these ratios, we classify 1321+045 as a low
excitation galaxy (LEG) and suggest that its radio activity is in a coasting
phase. The X-ray emission associated with the radio source is detected with
36.1+/-8.3 counts, but the origin of this emission is highly uncertain. The
current X-ray image of the cluster does not show any signatures of a radio
source impact on the cluster medium. Chandra detects the cluster emission at >3
sigma level out to ~60 arcsec (~240 kpc). We obtain the best fit beta model
parameters of the surface brightness profile of beta=0.58+/-0.2 and a core
radius of 9.4^{+1.1}_{-0.9} arcsec. The average temperature of the cluster is
equal to kT=4.4^{+0.5}_{-0.3} keV, with a temperature and cooling profile
indicative of a cooling core. We measure the cluster luminosity L_(0.5-2
keV)=3x10^{44} erg s^{-1} and mass 1.5x10^{14} M_sun.


title: Effective resistances for supercritical percolation clusters in boxes

abstract:
  Let $\mathcal{C}^n$ be the largest open cluster for supercritical Bernoulli
bond percolation in $[-n, n]^d \cap \mathbb{Z}^d$ with $d \ge 2$. We obtain a
sharp estimate for the effective resistance on $\mathcal{C}^n$. As an
application we show that the cover time for the simple random walk on
$\mathcal{C}^n$ is comparable to $n^d (\log n)^2$. Noting that the cover time
for the simple random walk on $[-n, n]^d \cap \mathbb{Z}^d$ is of order $n^d
\log n$ for $d \ge 3$ (and of order $n^2 (\log n)^2$ for $d = 2$), this gives a
quantitative difference between the two random walks for $d \ge 3$.


title:
SHARDS: stellar populations and star formation histories of a
  mass-selected sample of 0.65<z<1.1 galaxies

abstract:
  We report on results from the analysis of a stellar mass-selected (log
M*>9.0) sample of 1644 galaxies at 0.65<z<1.1 with ultra-deep (m<26.5) optical
medium-band (R~50) photometry from the Survey for High-z Absorption Red and
Dead Sources (SHARDS). The spectral resolution of SHARDS allows us to
consistently measure the strength of the 4000 Angstrom spectral break
[Dn(4000), an excellent age indicator for the stellar populations of quiescent
galaxies] for all galaxies at z~0.9 down to log M*9. The Dn(4000) index cannot
be resolved from broad-band photometry, and measurements from optical
spectroscopic surveys are typically limited to galaxies at least x10 more
massive. When combined with the rest-frame U-V colour, Dn(4000) provides a
powerful diagnostic of the extinction affecting the stellar population that is
relatively insensitive to degeneracies with age, metallicity or star formation
history. We use this novel approach to estimate de-reddened colours and
light-weighted stellar ages for individual sources. We explore the
relationships linking stellar mass, (U-V), and Dn(4000) for the sources in the
sample, and compare them to those found in local galaxies. The main results
are: a) both Dn(4000) and (U-V) correlate with M*. The dispersion in Dn(4000)
values at a given M* increases with M*, while the dispersion for (U-V)
decreases due to the higher average extinction prevalent in massive
star-forming galaxies. b) for massive galaxies, we find a smooth transition
between the blue cloud and red sequence in the intrinsic U-V colour, in
contrast with other recent results. c) at a fixed stellar age, we find a
positive correlation between extinction and stellar mass. d) the fraction of
sources with declining or halted star formation increases steeply with the
stellar mass, from ~5% at log M*~9.0-9.5 to ~80% at log M*>11, in agreement
with downsizing scenarios.


title: Dynamics of ion cloud in a linear Paul trap

abstract:
  A linear ion trap setup has been developed for studying the dynamics of
trapped ion cloud and thereby realizing possible systematics of a high
precision measurement on a single ion within it. The dynamics of molecular
nitrogen ion cloud has been investigated to extract the characteristics of the
trap setup. The stability of trap operation has been studied with observation
of narrow nonlinear resonances pointing out the region of instabilities within
the broad stability region. The secular frequency has been measured and the
motional spectra of trapped ion oscillation have been obtained by using
electric dipole excitation. It is applied to study the space charge effect and
the axial coupling in the radial plane.


title: vSMC: Parallel Sequential Monte Carlo in C++

abstract:
  Sequential Monte Carlo is a family of algorithms for sampling from a sequence
of distributions. Some of these algorithms, such as particle filters, are
widely used in the physics and signal processing researches. More recent
developments have established their application in more general inference
problems such as Bayesian modeling.
  These algorithms have attracted considerable attentions in recent years as
they admit natural and scalable parallelizations. However, these algorithms are
perceived to be difficult to implement. In addition, parallel programming is
often unfamiliar to many researchers though conceptually appealing, especially
for sequential Monte Carlo related fields.
  A C++ template library is presented for the purpose of implementing general
sequential Monte Carlo algorithms on parallel hardware. Two examples are
presented: a simple particle filter and a classic Bayesian modeling problem.


title:
Magnon Energy Renormalization and Low-Temperature Thermodynamics of O(3)
  Heisenberg Ferromagnets

abstract:
  We present the perturbation theory for lattice magnon fields of
$D$-dimensional O(3) Heisenberg ferromagnet. The effective Hamiltonian for the
lattice magnon fields is obtained starting from the effective Lagrangian, with
two dominant contributions that describe magnon-magnon interactions identified
as a usual gradient term for the unit vector field and a part originating in
the Wess-Zumino-Witten term of effective Lagrangian. Feynman diagrams for
lattice scalar fields with derivative couplings are introduced, on basis of
which we investigate the influence of magnon-magnon interactions on magnon
self-energy and ferromagnet free energy. We also comment appearance of spurious
terms in the low-temperature series for the free energy by examining
magnon-magnon interactions and internal symmetry of the effective Hamiltonian
(Lagrangian).


title: Soundness and Completeness of the NRB Verification Logic

abstract:
  This short paper gives a model for and a proof of completeness of the NRB
verification logic for deterministic imperative programs, the logic having been
used in the past as the basis for automated semantic checks of large,
fast-changing, open source C code archives, such as that of the Linux kernel
source. The model is a colored state transitions model that approximates from
above the set of transitions possible for a program. Correspondingly, the logic
catches all traces that may trigger a particular defect at a given point in the
program, but may also flag false positives.


title: Creating a Relational Distributed Object Store

abstract:
  In and of itself, data storage has apparent business utility. But when we can
convert data to information, the utility of stored data increases dramatically.
It is the layering of relation atop the data mass that is the engine for such
conversion. Frank relation amongst discrete objects sporadically ingested is
rare, making the process of synthesizing such relation all the more
challenging, but the challenge must be met if we are ever to see an equivalent
business value for unstructured data as we already have with structured data.
This paper describes a novel construct, referred to as a relational distributed
object store (RDOS), that seeks to solve the twin problems of how to
persistently and reliably store petabytes of unstructured data while
simultaneously creating and persisting relations amongst billions of objects.


title: A snowflake's chance in heaven

abstract:
  We consider the survival of solid H2 in the diffuse interstellar medium, with
application to grains which are small enough to qualify as dust. Consideration
of only the thermal aspects of this problem leads to the familiar conclusion
that such grains sublimate rapidly. Here we show that charging plays a critical
role in determining the sublimation rate, because an electric field helps to
bind molecules to the grain surface. A key aspect of the charging process is
that the conduction band of solid hydrogen lies above the vacuum free-electron
energy level, so low-energy electrons cannot penetrate the solid. But they are
attracted by the dielectric and by positive ions in the matrix, so they become
trapped in vacuum states just above the surface. This charge-separated
configuration suppresses recombination and permits overall neutrality, while
supporting large electric fields at the surface. Charging ceases when the
potential energy just outside the electron layer coincides with the conduction
band minimum. By that stage the heat of sublimation has increased tenfold,
effecting a huge reduction in the sublimation rate. Consequently hydrogen
grains may be able to survive indefinitely in the diffuse ISM. There are good
prospects for identifying H2 grains, if they exist, as fully localised surface
electrons should exhibit discrete energy levels, with a corresponding spectral
line signature.


title: The impurity problem in a bilayer system of dipoles

abstract:
  We consider a bilayer geometry where a single impurity moves in a
two-dimensional plane and is coupled, via dipolar interactions, to a
two-dimensional system of fermions residing in the second layer. Dipoles in
both layers point in the same direction oriented by an external field
perpendicular to the plane of motion. We use quantum Monte Carlo methods to
calculate the binding energy and the effective mass of the impurity at zero
temperature as a function of the distance between layers as well as of the
in-plane interaction strength. In the regime where the fermionic dipoles form a
Wigner crystal, the physics of the impurity can be described in terms of a
polaron coupled to the bath of lattice phonons. By reducing the distance
between layers this polaron exhibits a crossover from a free-moving to a
tightly-bound regime where its effective mass is orders of magnitude larger
than the bare mass.


title: Gaussian mixture model and population synthesis of radio pulsars

abstract:
  Recently, Lee et al. used Gaussian mixture models (GMM) to study the radio
pulsar population. In the distribution of normal pulsars in the P-dotP plane,
they found four clusters. We develop this approach further and apply it to
different synthetic pulsar populations in order to determine whether the method
can effectively select groups of sources that are physically different. We
check several combinations of initial conditions as well as the models of
pulsar evolution and the selection effects. We find that in the case of rapidly
evolving objects, the GMM is oversensitive to parameter variations and does not
produce stable results. We conclude that the method does not help much to
identify the sub-populations with different initial parameters or/and
evolutionary paths. For the same reason, the GMM does not discriminate
effectively between theoretical population synthesis models of normal radio
pulsars.


title:
A stability of vector bundles with twisted sections and the
  Donaldson-Thomas instantons on compact K\"{a}hler threefolds

abstract:
  We consider a version of Hermitian-Einstein equation but perturbed by a Higgs
field with a solution called a Donaldson-Thomas instanton on compact K\"ahler
threefolds. The equation could be thought of as a generalization of the Hitchin
equation on Riemann surfaces to K\"ahler threefolds. In the appendix of
arXiv:0805.2192, following an analogy with the Hitchin equation, we introduced
a stability condition for a pair consisting of a locally-free sheaf over a
compact K\"ahler threefold and a section of the associated sheaf of the
endomorphisms tensored by the canonical bundle of the threefold. In this
article, we prove a Hitchin--Kobayashi-type correspondence for this and the
Donaldson-Thomas instanton on compact K\"ahler threefolds.


title:
Gammalike mass distributions and mass fluctuations in conserved-mass
  transport processes

abstract:
  We show that, in conserved-mass transport processes, the steady-state
distribution of mass in a subsystem is uniquely determined from the functional
dependence of variance of the subsystem mass on its mean, provided that joint
mass distribution of subsystems is factorized in the thermodynamic limit. The
factorization condition is not too restrictive as it would hold in systems with
short-ranged spatial correlations. To demonstrate the result, we revisit a
broad class of mass transport models and its generic variants, and show that
the variance of subsystem mass in these models is proportional to square of its
mean. This particular functional form of the variance constrains the subsystem
mass distribution to be a gamma distribution irrespective of the dynamical
rules.


title: Extension of a summation due to Ramanujan

abstract:
  In this short research note, we aim to establish an interesting extension of
a summation due to Ramanujan.The result is derived with the help of an
extension of Gauss's summation theorem available in the literature.


title: Interstellar Turbulent Magnetic Field Generation by Plasma Instabilities

abstract:
  The maximum magnetic field strength generated by Weibel-type plasma
instabilities is estimated for typical conditions in the interstellar medium.
The relevant kinetic dispersion relations are evaluated by conducting a
parameter study both for Maxwellian and for suprathermal particle distributions
showing that micro Gauss magnetic fields can be generated. It is shown that,
depending on the streaming velocity and the plasma temperatures, either the
longitudinal or a transverse instability will be dominant. In the presence of
an ambient magnetic field, the filamentation instability is typically
suppressed while the two-stream and the classic Weibel instability are
retained.


title: Stable Sets and Graphs with no Even Holes

abstract:
  We develop decomposition/composition tools for efficiently solving maximum
weight stable sets problems as well as for describing them as polynomially
sized linear programs (using "compact systems"). Some of these are well-known
but need some extra work to yield polynomial "decomposition schemes".
  We apply the tools to graphs with no even hole and no cap. A hole is a
chordless cycle of length greater than three and a cap is a hole together with
an additional node that is adjacent to two adjacent nodes of the hole and that
has no other neighbors on the hole.


title: Pseudoconvex non-Stein domains in primary Hopf surfaces

abstract:
  We describe pseudoconvex non-Stein domains in primary Hopf surfaces using
techniques developed by Hirschowitz.


title:
An Algorithm for Constructing a Smallest Register with Non-Linear Update
  Generating a Given Binary Sequence

abstract:
  Registers with Non-Linear Update (RNLUs) are a generalization of Non-Linear
Feedback Shift Registers (NLFSRs) in which both, feedback and feedforward,
connections are allowed and no chain connection between the stages is required.
In this paper, a new algorithm for constructing RNLUs generating a given binary
sequence is presented. Expected size of RNLUs constructed by the presented
algorithm is proved to be O(n/log(n/p)), where n is the sequence length and p
is the degree of parallelization. This is asymptotically smaller than the
expected size of RNLUs constructed by previous algorithms and the expected size
of LFSRs and NLFSRs generating the same sequence. The presented algorithm can
potentially be useful for many applications, including testing, wireless
communications, and cryptography.


title: Isospectral deformations of the Dirac operator

abstract:
  We give more details about an integrable system in which the Dirac operator
D=d+d^* on a finite simple graph G or Riemannian manifold M is deformed using a
Hamiltonian system D'=[B,h(D)] with B=d-d^* + i b. The deformed operator D(t) =
d(t) + b(t) + d(t)^* defines a new exterior derivative d(t) and a new Dirac
operator C(t) = d(t) + d(t)^* and Laplacian M(t) = d(t) d(t)^* + d(t)* d(t) and
so a new distance on G or a new metric on M.


title: Distributivity in skew lattices

abstract:
  Distributive skew lattices satisfying $x\wedge (y\vee z)\wedge x = (x\wedge
y\wedge x) \vee (x\wedge z\wedge x)$ and its dual are studied, along with the
larger class of linearly distributive skew lattices, whose totally preordered
subalgebras are distributive. Linear distributivity is characterized in terms
of the behavior of the natural partial order between comparable $\DD$-classes.
This leads to a second characterization in terms of strictly categorical skew
lattices. Criteria are given for both types of skew lattices to be
distributive.


title: Illustrating Mathematics using 3D Printers

abstract:
  3D printing technology can help to visualize proofs in mathematics. In this
document we aim to illustrate how 3D printing can help to visualize concepts
and mathematical proofs. As already known to educators in ancient Greece,
models allow to bring mathematics closer to the public. The new 3D printing
technology makes the realization of such tools more accessible than ever. This
is an updated version of a paper included in book Low-Cost 3D Printing for
science, education and Sustainable Development, ICTP, 2013 edited by Carlo
Fonda Enrique Canessa and Marco Zennaro.


title:
Monte Carlo methods for estimating depletion potentials in highly
  size-asymmetrical hard sphere mixtures

abstract:
  We investigate Monte Carlo simulation strategies for determining the
effective ("depletion") potential between a pair of hard spheres immersed in a
dense sea of much smaller hard spheres. Two routes to the depletion potential
are considered. The first is based on estimates of the insertion probability of
one big sphere in the presence of the other; we describe and compare three such
methods. The second route exploits collective (cluster) updating to sample the
depletion potential as a function of the separation of the big particles; we
describe two such methods. For both routes we find that the sampling efficiency
at high densities of small particles can be enhanced considerably by exploiting
`geometrical shortcuts' that focus the computational effort on a subset of
small particles. All the methods we describe are readily extendable to
particles interacting via arbitrary potentials.


title:
A Decomposition of the Max-min Fair Curriculum-based Course Timetabling
  Problem

abstract:
  We propose a decomposition of the max-min fair curriculum-based course
timetabling (MMF-CB-CTT) problem. The decomposition models the room assignment
subproblem as a generalized lexicographic bottleneck optimization problem
(LBOP). We show that the generalized LBOP can be solved efficiently if the
corresponding sum optimization problem can be solved efficiently. As a
consequence, the room assignment subproblem of the MMF-CB-CTT problem can be
solved efficiently. We use this insight to improve a previously proposed
heuristic algorithm for the MMF-CB-CTT problem. Our experimental results
indicate that using the new decomposition improves the performance of the
algorithm on most of the 21 ITC2007 test instances with respect to the quality
of the best solution found. Furthermore, we introduce a measure of the quality
of a solution to a max-min fair optimization problem. This measure helps to
overcome some limitations imposed by the qualitative nature of max-min fairness
and aids the statistical evaluation of the performance of randomized algorithms
for such problems. We use this measure to show that using the new decomposition
the algorithm outperforms the original one on most instances with respect to
the average solution quality.


title:
Prospects for measuring the gravitational free-fall of antihydrogen with
  emulsion detectors

abstract:
  The main goal of the AEgIS experiment at CERN is to test the weak equivalence
principle for antimatter. AEgIS will measure the free-fall of an antihydrogen
beam traversing a moir\'e deflectometer. The goal is to determine the
gravitational acceleration g for antihydrogen with an initial relative accuracy
of 1% by using an emulsion detector combined with a silicon micro-strip
detector to measure the time of flight. Nuclear emulsions can measure the
annihilation vertex of antihydrogen atoms with a precision of about 1 - 2
microns r.m.s. We present here results for emulsion detectors operated in
vacuum using low energy antiprotons from the CERN antiproton decelerator. We
compare with Monte Carlo simulations, and discuss the impact on the AEgIS
project.


title: Consistency of maximum likelihood estimation for some dynamical systems

abstract:
  We consider the asymptotic consistency of maximum likelihood parameter
estimation for dynamical systems observed with noise. Under suitable conditions
on the dynamical systems and the observations, we show that maximum likelihood
parameter estimation is consistent. Our proof involves ideas from both
information theory and dynamical systems. Furthermore, we show how some
well-studied properties of dynamical systems imply the general statistical
properties related to maximum likelihood estimation. Finally, we exhibit
classical families of dynamical systems for which maximum likelihood estimation
is consistent. Examples include shifts of finite type with Gibbs measures and
Axiom A attractors with SRB measures.


title: Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap

abstract:
  We consider the non-equilibrium dynamics of a gas of impenetrable bosons
released from a harmonic trapping potential to a circle. The many body dynamics
is solved analytically and the time dependence of all the physically relevant
correlations is described. We prove that, for large times and in the
thermodynamic limit, the reduced density matrix of any subsystem converges to a
generalized Gibbs ensemble as a consequence of the integrability of the model.
We discuss the approach to the stationary behavior at late times. We also
describe the time-dependence of the entanglement entropy which attains a very
simple form in the stationary state.


title:
State-dependent potentials in a nanofiber-based two-color trap for cold
  atoms

abstract:
  We analyze the ac Stark shift of a cesium atom interacting with
far-off-resonance guided light fields in the nanofiber-based two-color optical
dipole trap realized by Vetsch \textit{et al.} [Phys. Rev. Lett. \textbf{104},
203603, (2010)]. Particular emphasis is given to the fictitious magnetic field
produced by the vector polarizability of the atom in conjunction with the
ellipticity of the polarization of the trapping fields. Taking into account the
ac Stark shift, the atomic hyperfine interaction, and a magnetic interaction,
we solve the stationary Schr\"odinger equation at a fixed point in space and
find Zeeman-state-dependent trapping potentials. In analogy to the dynamics in
magnetic traps, a local degeneracy of these state-dependent trapping potentials
can cause spin flips and should thus be avoided. We show that this is possible
using an external magnetic field. Depending on the direction of this external
magnetic field, the resulting trapping configuration can still exhibit
state-dependent displacement of the potential minima. In this case, we find
nonzero Franck-Condon factors between motional states of the potentials for
different hyperfine-structure levels and propose the possibility of microwave
cooling in a nanofiber-based two-color trap.


title: Proteus: A Hierarchical Portfolio of Solvers and Transformations

abstract:
  In recent years, portfolio approaches to solving SAT problems and CSPs have
become increasingly common. There are also a number of different encodings for
representing CSPs as SAT instances. In this paper, we leverage advances in both
SAT and CSP solving to present a novel hierarchical portfolio-based approach to
CSP solving, which we call Proteus, that does not rely purely on CSP solvers.
Instead, it may decide that it is best to encode a CSP problem instance into
SAT, selecting an appropriate encoding and a corresponding SAT solver. Our
experimental evaluation used an instance of Proteus that involved four CSP
solvers, three SAT encodings, and six SAT solvers, evaluated on the most
challenging problem instances from the CSP solver competitions, involving
global and intensional constraints. We show that significant performance
improvements can be achieved by Proteus obtained by exploiting alternative
view-points and solvers for combinatorial problem-solving.


title:
Block Tridiagonal Reduction of Perturbed Normal and Rank Structured
  Matrices

abstract:
  It is well known that if a matrix $A\in\mathbb C^{n\times n}$ solves the
matrix equation $f(A,A^H)=0$, where $f(x, y)$ is a linear bivariate polynomial,
then $A$ is normal; $A$ and $A^H$ can be simultaneously reduced in a finite
number of operations to tridiagonal form by a unitary congruence and, moreover,
the spectrum of $A$ is located on a straight line in the complex plane. In this
paper we present some generalizations of these properties for almost normal
matrices which satisfy certain quadratic matrix equations arising in the study
of structured eigenvalue problems for perturbed Hermitian and unitary matrices.


title: Density dependent tunneling in the extended Bose-Hubbard model

abstract:
  Recently, it has become apparent that, when the interactions between polar
molecules in optical lattices becomes strong, the conventional description
using the extended Hubbard model has to be modified by additional terms, in
particular a density-dependent tunneling term. We investigate here the
influence of this term on the ground-state phase diagrams of the two
dimensional extended Bose-Hubbard model. Using Quantum Monte Carlo simulations,
we investigate the changes of the superfluid, supersolid, and phase-separated
parameter regions in the phase diagram of the system. By studying the interplay
of the density-dependent hopping with the usual on-site interaction U and
nearest-neighbor repulsion V, we show that the ground-state phase diagrams
differ significantly from the ones that are expected from the standard extended
Bose-Hubbard model. However we find no indication of pair-superfluid behavior
in this two dimensional square lattice study in contrast to the one-dimensional
case.


title: Partial Spreads in Random Network Coding

abstract:
  Following the approach by R. K\"otter and F. R. Kschischang, we study network
codes as families of k-dimensional linear subspaces of a vector space F_q^n, q
being a prime power and F_q the finite field with q elements. In particular,
following an idea in finite projective geometry, we introduce a class of
network codes which we call "partial spread codes". Partial spread codes
naturally generalize spread codes. In this paper we provide an easy description
of such codes in terms of matrices, discuss their maximality, and provide an
efficient decoding algorithm.


title: Electron-electron scatttering in Sn-doped indium oxide thick films

abstract:
  We have measured the low-field magnetoresistances (MRs) of a series of
Sn-doped indium oxide thick films in the temperature $T$ range 4--35 K. The
electron dephasing rate $1/\tau_{\varphi}$ as a function of $T$ for each film
was extracted by comparing the MR data with the three-dimensional (3D)
weak-localization theoretical predictions. We found that the extracted
$1/\tau_{\varphi}$ varies linearly with $T^{3/2}$. Furthermore, at a given $T$,
$1/\tau_{\varphi}$ varies linearly with $k_F^{-5/2}l^{-3/2}$, where $k_{F}$ is
the Fermi wavenumber, and $l$ is the electron elastic mean free path. These
features are well explained in terms of the small-energy-transfer
electron-electron scattering time in 3D disordered conductors. This electron
dephasing mechanism dominates over the electron-phonon ($e$-ph) scattering
process because the carrier concentrations in our films are $\sim$ 3 orders of
magnitude lower than those in typical metals, which resulted in a greatly
suppressed $e$-ph relaxation rate.


title:
Thermally Activated Asymmetric Structural Recovery in a Soft Glassy
  Nano-Clay Suspension

abstract:
  In this work we study structural recovery of a soft glassy Laponite
suspension by monitoring temporal evolution of elastic modulus under isothermal
conditions as well as following step temperature jumps. Interestingly,
evolution behavior under isothermal conditions indicates the rate, and not the
path of structural recovery, to be dependent on temperature. The experiments
carried out under temperature jump conditions however trace a different path of
structural recovery, which shows strong dependence on temperature and the
direction of change. Further investigation of the system suggests that this
behavior can be attributed to restricted mobility of counterions associated
with Laponite particle at the time of temperature change, which do not allow
counterion concentration to reach equilibrium value associated with the changed
temperature. Interestingly this effect is observed to be comparable with other
glassy molecular and soft materials, which while evolve in a self-similar
fashion under isothermal conditions, show asymmetric behavior upon temperature
change.


title: Enhanced Thermal Transport through Soft Glassy Nano-disc Paste

abstract:
  We study diffusion of heat in an aqueous suspension of disc shaped
nanoparticles of Laponite, which has finite elasticity and paste-like
consistency, by using the Mach-Zehnder interferometer. We estimate the thermal
diffusivity of the suspension by comparing the experimentally obtained
temperature distribution to that with analytical solution. We observe that
despite highly constrained Brownian diffusivity of particles owing to its soft
glassy nature, suspensions at very small concentrations of Laponite
demonstrates significant enhancement in thermal diffusivity. We correlate the
observed enhancement with the possible microstructures of the Laponite
suspension.


title: Physicochemical Effects in Aging Aqueous Laponite Suspensions

abstract:
  We study aging behavior of aqueous suspension of Laponite as a function of
concentration of Laponite, concentration of salt, time elapsed since
preparation of suspension (idle time) and temperature by carrying extensive
rheological and conductivity experiments. We observe that temporal evolution of
elastic modulus, which describes structural buildup and aging, shifts to low
times for experiments carried out for higher concentration of Laponite, higher
concentration of salt, greater temperature and on higher idle time while
preserving the curvature of evolution in the solid regime. Consequently
appropriate shifting of evolution of elastic modulus in the solid regime leads
to aging time idle time salt concentration Laponite concentration temperature
superposition. Existence of such superposition suggests generic nature of
microstructure buildup irrespective of mentioned variables in the explored
range. Behavior of shift factors needed to obtain the superposition indicate
that energy barrier associated with structural buildup decreases with increase
in idle time and temperature; and decreases linearly with increase in
concentration of Laponite and that of salt. The conductivity experiments show
that ionic conductivity of the suspension increases with increasing Laponite
concentration, salt concentration, temperature and very importantly the idle
time. We also analyze the interparticle interactions using DLVO theory that
suggests increase in idle time, temperature and salt concentration increases
height of repulsive energy barrier while decreases width of the same when
particles approach each other in a parallel fashion. Analysis of rheological
and conductivity experiments suggest strong influence of attractive
interactions on the low energy structures in aqueous suspension of Laponite.


title:
Mapping the three-dimensional multi-band extinction and diffuse
  interstellar bands in the Milky Way with LAMOST

abstract:
  With modern large scale spectroscopic surveys, such as the SDSS and LSS-GAC,
Galactic astronomy has entered the era of millions of stellar spectra. Taking
advantage of the huge spectroscopic database, we propose to use a "standard
pair" technique to a) Estimate multi-band extinction towards sightlines of
millions of stars; b) Detect and measure the diffuse interstellar bands in
hundreds of thousands SDSS and LAMOST low-resolution spectra; c) Search for
extremely faint emission line nebulae in the Galaxy; and d) Perform photometric
calibration for wide field imaging surveys. In this contribution, we present
some results of applying this technique to the SDSS data, and report
preliminary results from the LAMOST data.


title:
Cryptanalyzing a class of image encryption schemes based on Chinese
  Remainder Theorem

abstract:
  As a fundamental theorem in number theory, the Chinese Reminder Theorem (CRT)
is widely used to construct cryptographic primitives. This paper investigates
the security of a class of image encryption schemes based on CRT, referred to
as CECRT. Making use of some properties of CRT, the equivalent secret key of
CECRT can be recovered efficiently. The required number of pairs of chosen
plaintext and the corresponding ciphertext is only $(1+\lceil (\log_2L)/l
\rceil)$. The attack complexity is only $O(L)$, where $L$ is the plaintext
length and $l$ is the number of bits representing a plaintext symbol. In
addition, other defects of CECRT such as invalid compression function and low
sensitivity to plaintext, are reported. The work in this paper will help
clarify positive role of CRT in cryptology.


title:
Approximate controllability for a 2D Grushin equation with potential
  having an internal singularity

abstract:
  This paper is dedicated to approximate controllability for Grushin equation
on the rectangle $(x,y) \in (-1,1) \times (0,1)$ with an inverse square
potential. This model corresponds to the heat equation for the Laplace-Beltrami
operator associated to the Grushin metric on $\mathbb{R}^2$, studied by Boscain
and Laurent. The operator is both degenerate and singular on the line $\{ x=0
\}$.
  The approximate controllability is studied through unique continuation of the
adjoint system. For the range of singularity under study, approximate
controllability is proved to hold whatever the degeneracy is.
  Due to the internal inverse square singularity, a key point in this work is
the study of well-posedness. An extension of the singular operator is designed
imposing suitable transmission conditions through the singularity.
  Then, unique continuation relies on the Fourier decomposition of the 2D
solution in one variable and Carleman estimates for the 1D heat equation solved
by the Fourier components. The Carleman estimate uses a suitable Hardy
inequality.


title:
Hausdorff dimension and $\sigma$ finiteness of $p-$harmonic measures in
  space when $p\geq n$

abstract:
  In this paper we study a p harmonic measure, associated with a positive p
harmonic function \hat{u} defined in an open set O, subset of R^n, and
vanishing on a portion \Gamma of boundary of O. If p>n we show that this p
harmonic measure is concentrated on a set of \sigma- finite H^{n-1} measure
while if p=n the same conclusion holds provided \Gamma is uniformly fat in the
sense of n capacity.


title: Tailoring Relaxation Time Spectrum in Soft Glassy Materials

abstract:
  Physical properties of out of equilibrium soft materials depend on time as
well as deformation history. In this work we propose to transform this major
shortcoming into gain by applying controlled deformation field to tailor the
rheological properties. We take advantage of the fact that deformation field of
a certain magnitude can prevent particles in an aging soft glassy material from
occupying energy wells up to a certain depth, thereby populating only the
deeper wells. We employ two soft glassy materials with dissimilar
microstructures and demonstrate that increase in strength of deformation field
while aging leads to narrowing of spectrum of relaxation times. We believe
that, in principle, this philosophy can be universally applied to different
kinds of glassy materials by changing nature and strength of impetus.


title:
Detection of Gamma-Ray Emission in the Region of the Supernova Remnants
  G296.5+10.0 and G166.0+4.3

abstract:
  52 months of accumulated observations by the Large Area Telescope onboard the
Fermi Gamma-ray Space Telescope in the region of the supernova remnants
G296.5+10.0 (PKS 1209-51/52) and G166.0+4.3 (VRO 42.05.01) are analyzed. GeV
emission is detected coincident with the position of the sources at the 5-sigma
and 11-sigma levels above the background, respectively, for the best-fit
spectral and spatial scenarios. The gamma-ray spectrum of the sources can be
described with a power-law in energy. G166.0+4.3 shows a soft GeV spectrum
while that of G296.5+10.0 is flat (in the "nu-Fnu" representation). The origin
of the gamma-ray emission from the sources is explored. Both leptonic and
hadronic mechanisms can account for the high-energy emission from G296.5+10.0,
while a leptonic scenario is preferred for G166.0+4.3.


title:
Probe of electromagnetic moments of the tau lepton in gamma-gamma
  collisions at the CLIC

abstract:
  We have investigated the electromagnetic moments of the tau lepton in
$e^{+}e^{-} \rightarrow e^{+}\gamma^{*} \gamma^{*} e^{-}\rightarrow e^{+}\tau
\bar{\tau}e^{-}$ process at the CLIC. We have obtained 95% confidence level
bounds on the anomalous magnetic and electric dipole moments for various values
of the integrated luminosity and the center of mass energy. We have shown that
the $e^{+}e^{-} \rightarrow e^{+}\gamma^{*} \gamma^{*} e^{-}\rightarrow
e^{+}\tau \bar{\tau}e^{-}$ process at the CLIC leads to a remarkable
improvement in the existing experimental bounds on the anomalous magnetic and
electric dipole moments.


title:
Indirect comparison of Debrecen and Greenwich daily sums of sunspot
  areas

abstract:
  Sunspot area data play an important role in the studies of solar activity and
its long-term variations. In order to reveal real long-term solar variations
precise homogeneous sunspot area databases should be used. However, the
measured areas may be burdened with systematic deviations, which may vary in
time. Thus, there is a need to investigate the long-term variation of sunspot
area datasets and to determine the time-dependent cross-calibration factors. In
this study, we investigate the time-dependent differences between the available
long-term sunspot databases. Using the results, we estimate the correction
factor to calibrate the corrected daily sunspot areas of Debrecen
Photoheliographic Data (DPD) to the same data of Greenwich Photoheliographic
Results (GPR) by using the overlapping Kislovodsk and Pulkovo data. We give the
correction factor as GPR=1.08(\pm 0.11)*DPD


title: Wilson ratio of Fermi gases in one dimension

abstract:
  We calculate the Wilson ratio of the one-dimensional Fermi gas with spin
imbalance. The Wilson ratio of attractively interacting fermions is solely
determined by the density stiffness and sound velocity of pairs and of excess
fermions for the two-component Tomonaga-Luttinger liquid (TLL) phase. The ratio
exhibits anomalous enhancement at the two critical points due to the sudden
change in the density of states. Despite a breakdown of the quasiparticle
description in one dimension, two important features of the Fermi liquid are
retained, namely the specific heat is linearly proportional to temperature
whereas the susceptibility is independent of temperature. In contrast to the
phenomenological TLL parameter, the Wilson ratio provides a powerful parameter
for testing universal quantum liquids of interacting fermions in one, two and
three dimensions.


title:
On the single-particle-reduced entropy of a gated nanowire system in the
  Coulomb blockade regime

abstract:
  In this paper, the single-particle-reduced entropy of a nanowire field-effect
transistor (NWFET) in the Coulomb blockade regime is studied by means of a
multi-configurational self-consistent Green's function approach. Assuming that
the many-body statistical preparation of the system is described by a mixture
of Slater determinants of relevant natural orbitals, the
single-particle-reduced entropy can be interpreted as a measure of the degree
of mixture of the system's preparation. Considering the realistic case of an
InP based NWFET, we present current-voltage characteristics and entropy
diagrams for a range of equilibrium and non-equilibrium states. Signatures of
few-electron Coulomb charging effects can be identified, as known from
experimental situations. Furthermore, we illustrate the significance of the
single-particle-reduced entropy by analyzing the corresponding electronic
configurations.


title:
On the extension of the Laplace-Lagrange secular theory to order two in
  the masses for extrasolar systems

abstract:
  We study the secular evolution of several exoplanetary systems by extending
the Laplace-Lagrange theory to order two in the masses. Using an expansion of
the Hamiltonian in the Poincar\'e canonical variables, we determine the
fundamental frequencies of the motion and compute analytically the long-term
evolution of the keplerian elements. Our study clearly shows that, for systems
close to a mean-motion resonance, the second order approximation describes
their secular evolution more accurately than the usually adopted first order
one. Moreover, this approach takes into account the influence of the mean
anomalies on the secular dynamics. Finally, we set up a simple criterion that
is useful to discriminate between three different categories of planetary
systems: (i) {\it secular} systems (HD 11964, HD 74156, HD 134987, HD 163607,
HD 12661 and HD 147018); (ii) systems {\it near a mean-motion resonance} (HD
11506, HD 177830, HD 9446, HD 169830 and $\upsilon$ Andromedae); (iii) systems
{\it really close to} or {\it in a mean-motion resonance} (HD 108874, HD 128311
and HD 183263).


title:
Single particle energy diffusion from relativistic spontaneous
  localization

abstract:
  Energy diffusion due to spontaneous localization (SL) for a
relativistically-fast moving particle is examined. SL is an alternative to
standard quantum theory in which quantum state reduction is treated as a random
physical process which is incorporated into the Schr\"odinger equation in an
observer-independent way. These models make predictions in conflict with
standard quantum theory one of which is non conservation of energy. On the
basis of proposed relativistic extensions of SL it is argued that for a single
localized particle, non-relativistic SL should remain valid in the rest frame
of the particle. The implication is that relativistic calculations can be
performed by transforming non-relativistic results from the particle rest frame
to the frame of an inertial observer. This is demonstrated by considering a
relativistic stream of non-interacting particles of cosmological origin and
showing how their energy distribution evolves as a result of SL as they
traverse the Universe. A solution is presented and the potential for
astrophysical observations is discussed.


title: The Taylor expansion at past time-like infinity

abstract:
  We study the initial value problem for the conformal field equations with
data given on a cone ${\cal N}_p$ with vertex $p$ so that in a suitable
conformal extension the point $p$ will represent past time-like infinity $i^-$,
the set ${\cal N}_p \setminus \{p\}$ will represent past null infinity ${\cal
J}^-$, and the freely prescribed (suitably smooth) data will acquire the
meaning of the incoming {\it radiation field} for the prospective vacuum
space-time. It is shown that: (i) On some coordinate neighbourhood of $p$ there
exist smooth fields which satisfy the conformal vacuum field equations and
induce the given data at all orders at $p$. The Taylor coefficients of these
fields at $p$ are uniquely determined by the free data. (ii) On ${\cal N}_p$
there exists a unique set of fields which induce the given free data and
satisfy the transport equations and the inner constraints induced on ${\cal
N}_p$ by the conformal field equations. These fields and the fields which are
obtained by restricting the functions considered in (i) to ${\cal N}_p$
coincide at all orders at $p$.


title:
NIR imaging spectroscopy of the inner few arcseconds of NGC 4151 with
  OSIRIS at Keck

abstract:
  We present H- and K-band data from the inner arcsecond of the Seyfert 1.5
galaxy NGC 4151 obtained with the adaptive optics assisted near-infrared
imaging field spectrograph OSIRIS at the Keck Observatory. We present the
morphology and dynamics of most species detected but focus on the morphology
and dynamics of the narrow line region (as traced by emission of [FeII] \lambda
1.644\mu m), the interplay between plasma ejected from the nucleus (as traced
by 21 cm continuum radio data) and hot H2 gas and characterize the detected
nuclear HeI$\lambda 2.058 \mu m absorption feature as a narrow absorption line
(NAL) phenomenon.


title: Calabi--Yau threefolds in $\mathbb{P}^6$

abstract:
  We study the geometry of $3$-codimensional smooth subvarieties of the complex
projective space. In particular, we classify all quasi-Buchsbaum Calabi--Yau
threefolds in projective $6$-space. Moreover, we prove that this classification
includes all Calabi--Yau threefolds contained in a possibly singular
5-dimensional quadric as well as all Calabi--Yau threefolds of degree at most
$14$ in $\mathbb{P}^6$.


title:
Constraining the co-genesis of Visible and Dark Matter with AMS-02 and
  Xenon-100

abstract:
  We study a non-thermal scenario in a two-Higgs doublet extension of the
standard model (SM), augmented by an U(1)_{\rm B-L} gauge symmetry. In this set
up, it is shown that the decay product of a weakly coupled scalar field just
above the electroweak scale can generate visible and dark matter (DM)
simultaneously. The DM is unstable because of the broken B-L symmetry. The
lifetime of DM (\approx 5\times 10^{25} sec) is found to be much longer than
the age of the Universe, and its decay to the SM leptons at present epoch can
explain the positron excess observed at the AMS-02. The relic abundance and the
direct detection constraint from Xenon-100 can rule out a large parameter space
just leaving the $B-L$ breaking scale around \approx 2 - 4 TeV.


title: Statistical Approaches for Modelling Cancer Bioassays

abstract:
  This paper discusses the possible ways to analyse the data, adopting a matrix
notation, so often used in Bioassays. The paper also reviews the Multistage
Models (MM). The MM class of models is applied for extrapolation, to the region
of Low-Dose. The effect of covariates in experimental carcinogenesis is
introduced and the relative efficiency is evaluated. Certainly the discussed
case was refereed to uncorrelated covariates and therefore an open problem
might be the multicollinear predictive covariates.Various nonlinear models are
discussed, giving more emphasis on the Michaelis-Menten and the Fisher's
information for them is discussed


title: Countable Partially Exchangeable Mixtures

abstract:
  Partially exchangeable sequences representable as mixtures of Markov chains
are completely specified by de Finetti's mixing measure. The paper
characterizes, in terms of a subclass of hidden Markov models, the partially
exchangeable sequences with mixing measure concentrated on a countable set,
both for discrete valued and for Polish valued sequences.


title: Waveguide-integrated electroluminescent carbon nanotubes

abstract:
  Carbon based optoelectronic devices promise to revolutionize modern
integrated circuits by combining outstanding electrical and optical properties
into a unified technology. By coupling nanoelectronic devices to nanophotonic
structures functional components such as nanoscale light emitting diodes,
narrow-band thermal emitters, cavity controlled detectors and wideband electro
optic modulators can be realized for chipscale information processing. These
devices not only allow the light-matter interaction of low-dimensional systems
to be studied, but also provide fundamental building blocks for high bandwidth
on-chip communication. Here we demonstrate how light from an
electrically-driven carbon-nanotube can be coupled directly into a photonic
waveguide architecture. We realize wafer scale, broadband sources integrated
with nanophotonic circuits allowing for propagation of light over centimeter
distances. Moreover, we show that the spectral properties of the emitter can be
controlled directly on chip with passive devices using Mach-Zehnder
interferometers and grating structures. The direct, near-field coupling of
electrically generated light into a waveguide, opposed to far-field fiber
coupling of external light sources, opens new avenues for compact
optoelectronic systems in a CMOS compatible framework.


title:
The Petrov-like boundary condition at finite cutoff surface in
  Gravity/Fluid duality

abstract:
  Previously it has been shown that imposing a Petrov-like boundary condition
on a hypersurface may reduce the Einstein equation to the incompressible
Navier-Stokes equation, but all these correspondences are established in the
near horizon limit. In this note, we remark that this strategy can be extended
to an arbitrary finite cutoff surface which is spatially flat, and the
Navier-Stokes equation is obtained by employing a non-relativistic
long-wavelength limit.


title: Universe Models with Negative Bulk Viscosity

abstract:
  The concept of negative temperatures has occasionally been used in connection
with quantum systems. A recent example of this sort is reported in the paper of
S. Braun et al. [Science 339,52 (2013)], where an attractively interacting
ensemble of ultracold atoms is investigated experimentally and found to
correspond to a negative-temperature system since the entropy decreases with
increasing energy at the high end of the energy spectrum. As the authors
suggest, it would be of interest to investigate whether a suitable
generalization of standard cosmological theory could be helpful, in order to
elucidate the observed accelerated expansion of the universe usually explained
in terms of a positive tensile stress (negative pressure). In the present note
we take up this basic idea and investigate a generalization of the standard
viscous cosmological theory, not by admitting negative temperatures but instead
by letting the bulk viscosity take negative values. Evidently, such an approach
breaks standard thermodynamics, but may actually be regarded to lead to the
same kind of bizarre consequences as the standard approach of admitting the
equation-of-state parameter w to be less than -1. In universe models dominated
by negative viscosity we find that the fluid's entropy decreases with time, as
one would expect. Moreover, we find that the fluid transition from the
quintessence region into the phantom region (thus passing the phantom divide
w=-1) can actually be reversed. Also in generalizations of the LCDM-universe
models with a fluid having negative bulk viscosity we find that the viscosity
decreases the expansion of the universe.


title: Modular Schur numbers

abstract:
  For any positive integers l and m, a set of integers is said to be (weakly)
l-sum-free modulo m if it contains no (pairwise distinct) elements
$x_1,x_2,...,x_l,y$ satisfying the congruence $x_1+\...+x_l\equiv y\bmod{m}$.
It is proved that, for any positive integers k and l, there exists a largest
integer $n$ for which the set of the first $n$ positive integers
$\{1,2,\...,n\}$ admits a partition into k (weakly) l-sum-free sets modulo m.
This number is called the generalized (weak) Schur number modulo $m$,
associated with k and l. In this paper, for all positive integers k and l, the
exact value of these modular Schur numbers are determined for m=1, 2 and 3.


title: Connected covering numbers

abstract:
  A connected covering is a design system in which the corresponding {\em block
graph} is connected. The minimum size of such coverings are called {\em
connected coverings numbers}. In this paper, we present various formulas and
bounds for several parameter settings for these numbers. We also investigate
results in connection with {\em Tur\'an systems}. Finally, a new general upper
bound, improving an earlier result, is given. The latter is used to improve
upper bounds on a question concerning oriented matroid due to Las Vergnas.