title:
Colored operads, series on colored operads, and combinatorial generating
  systems

abstract:
  We introduce bud generating systems, which are used for combinatorial
generation. They specify sets of various kinds of combinatorial objects, called
languages. They can emulate context-free grammars, regular tree grammars, and
synchronous grammars, allowing us to work with all these generating systems in
a unified way. The theory of bud generating systems uses colored operads.
Indeed, an object is generated by a bud generating system if it satisfies a
certain equation in a colored operad. To compute the generating series of the
languages of bud generating systems, we introduce formal power series on
colored operads and several operations on these. Series on colored operads are
crucial to express the languages specified by bud generating systems and allow
us to enumerate combinatorial objects with respect to some statistics. Some
examples of bud generating systems are constructed; in particular to specify
some sorts of balanced trees and to obtain recursive formulas enumerating
these.


title: Classical and quantum Brownian motion in an electromagnetic field

abstract:
  The dynamics of a Brownian particle in a constant magnetic field and
time-dependent electric field is studied in the limit of white noise, using a
Langevin approach for the classical problem and the path-integral
Feynman-Vernon and Caldeira-Leggett framework for the quantum problem. We study
the time evolution in configuration space of the probability distribution of an
initial pure state represented by an asymmetrical Gaussian wave function and
show that it can be described as the superposition of (a) the classical motion
of the center of mass, (b) a rotation around the mean position, and (c) a
spreading processes along the principal axes.


title:
Unconditional almost squareness and applications to spaces of Lipschitz
  functions

abstract:
  We introduce an unconditional concept of almost squareness in order to
provide a partial negative answer to the problem of existence of any dual
almost square Banach space. We also take advantage of this notion to provide
some criterion of non-duality of some subspaces of scalar as well as vector
valued Lipschitz functions.


title: Disjoinable Lagrangian tori and semisimple symplectic cohomology

abstract:
  We derive constraints on Lagrangian embeddings in completions of certain
stable symplectic fillings with semisimple symplectic cohomologies. Manifolds
with these properties can be constructed by generalizing the boundary connected
sum operation to our setting, and are related to certain birational surgeries
like blow-downs and flips. As a consequence, there are many non-toric
(non-compact) monotone symplectic manifolds whose wrapped Fukaya categories are
proper.


title: Multiplexed entangled photon sources for all fiber quantum networks

abstract:
  The ultimate goal of quantum information science is to build a global quantum
network, which enables quantum resources to be distributed and shared between
remote parties. Such quantum network can be realized by all fiber elements,
which takes advantage of low transmission loss,low cost, scalable and mutual
fiber communication techniques such as dense wavelength division multiplexing.
Therefore high quality entangled photon sources based on fibers are on
demanding for building up such kind of quantum network. Here we report
multiplexed polarization and timebin entanglement photon sources based on
dispersion shifted fiber operating at room temperature. High qualities of
entanglement are characterized by using interference, Bell inequality and
quantum state tomography. Simultaneous presence of entanglements in
multichannel pairs of a 100GHz DWDM shows the great capacity for entanglements
distribution over multi-users. Our research provides a versatile platform and
moves a first step toward constructing an all fiber quantum network.


title:
Discovery of a complex linearly polarized spectrum of Betelgeuse
  dominated by depolarization of the continuum

abstract:
  Betelgeuse is an M supergiant that harbors spots and giant granules at its
surface and presents linear polarization of its continuum. We have previously
discovered linear polarization signatures associated with individual lines in
the spectra of cool and evolved stars. Here, we investigate whether a similar
linearly polarized spectrum exists for Betelgeuse. We used the
spectropolarimeter Narval, combining multiple polarimetric sequences to obtain
high signal-to-noise ratio spectra of individual lines, as well as the
least-squares deconvolution (LSD) approach. We have discovered the existence of
a linearly polarized spectrum for Betelgeuse, detecting a rather strong signal
(at a few times 10$^{-4}$ of the continuum intensity level), both in individual
lines and in the LSD profiles. Studying its properties and the signal observed
for the resonant \ion{Na}{i}\,D lines, we conclude that we are mainly observing
depolarization of the continuum by the absorption lines. The linear
polarization of the Betelgeuse continuum is due to the anisotropy of the
radiation field induced by brightness spots at the surface and Rayleigh
scattering in the atmosphere. We have developed a geometrical model to
interpret the observed polarization, from which we infer the presence of two
brightness spots and their positions on the surface of Betelgeuse. We show that
applying the model to each velocity bin along the Stokes Q and U profiles
allows the derivation of a map of the bright spots. We use the Narval linear
polarization observations of Betelgeuse obtained over a period of 1.4 years to
study the evolution of the spots. Our study of the linearly polarized spectrum
of Betelgeuse provides a novel method for studying the evolution of brightness
spots at its surface and complements quasi-simultaneous observations obtained
with PIONIER at the VLTI.


title: Perturbations of superstable linear hyperbolic systems

abstract:
  The paper deals with initial-boundary value problems for linear
non-autonomous first order hyperbolic systems whose solutions stabilize to zero
in a finite time. We prove that problems in this class remain exponentially
stable in $L^2$ as well as in $C^1$ under small bounded perturbations. To show
this for $C^1$, we prove a general smoothing result implying that the solutions
to the perturbed problems become eventually $C^1$-smooth for any $L^2$-initial
data.


title: On optimal filtering of measured Mueller matrices

abstract:
  While any two-dimensional mixed state of polarization of light can be
represented by a combination of a pure state and a fully random state, any
Mueller matrix can be represented by a convex combination of a pure component
and three additional components whose randomness is scaled in a proper and
objective way. Such characteristic decomposition constitutes the appropriate
framework for the characterization of the polarimetric randomness of the system
represented by a given Mueller matrix, and provides criteria for the optimal
filtering of noise in experimental polarimetry.


title: The Dual Formulation of M5-brane Action

abstract:
  We construct a dual formulation, with respect to the conventional PST
formalism, of the M5-brane action propagating in a generic 11d supergravity
background. Constraint analysis is performed to further justify that our theory
has the correct number of degrees of freedom. Comparison of this action with
the existing M5-brane actions is carried out. We also show that a conventional
D4-brane action is obtained upon double dimensional reduction.


title:
Magnetohydrodynamic simulations of mechanical stellar feedback in a
  sheet-like molecular cloud

abstract:
  We have used the AMR hydrodynamic code, MG, to perform 3D magnetohydrodynamic
simulations with self-gravity of stellar feedback in a sheet-like molecular
cloud formed through the action of the thermal instability. We simulate the
interaction of the mechanical energy input from a 15 solar mass star and a 40
solar mass star into a 100 pc-diameter 17000 solar mass cloud with a corrugated
sheet morphology that in projection appears filamentary. The stellar winds are
introduced using appropriate Geneva stellar evolution models. In the 15 solar
mass star case, the wind forms a narrow bipolar cavity with minimal effect on
the parent cloud. In the 40 solar mass star case, the more powerful stellar
wind creates a large cylindrical cavity through the centre of the cloud. After
12.5 Myrs and 4.97 Myrs respectively, the massive stars explode as supernovae
(SNe). In the 15 solar mass star case, the SN material and energy is primarily
deposited into the molecular cloud surroundings over ~10^5 years before the SN
remnant escapes the cloud. In the 40 solar mass star case, a significant
fraction of the SN material and energy rapidly escapes the molecular cloud
along the wind cavity in a few tens of kiloyears. Both SN events compress the
molecular cloud material around them to higher densities (so may trigger
further star formation), and strengthen the magnetic field, typically by
factors of 2-3 but up to a factor of 10. Our simulations are relevant to
observations of bubbles in flattened ring-like molecular clouds and bipolar HII
regions.


title: Constraining the Cosmology of the Phantom Brane using Distance Measures

abstract:
  The phantom brane has several important distinctive features: (i) Its
equation of state is phantom-like, but there is no future `big rip'
singularity, (ii) the effective cosmological constant on the brane is
dynamically screened, because of which the expansion rate is {\em smaller} than
that in $\Lambda$CDM at high redshifts. In this paper, we constrain the Phantom
braneworld using distance measures such as Type Ia supernovae (SNeIa), Baryon
Acoustic Oscillations (BAO), and the compressed Cosmic Microwave Background
(CMB) data. We find that the simplest braneworld models provide a good fit to
the data. For instance, BAO +SNeIa data can be accommodated by the braneworld
for a large region in parameter space $0 < \Omega_l < 0.3$ at $1\sigma$. The
Hubble parameter can be as high as $H_0 < 78$ km/s/Mpc, and the effective
equation of state at present can show phantom-like behaviour with $w_0 < -1.2$
at $1\sigma$. We note a correlation between $H_0$ and $w_0$, with higher values
of $H_0$ leading to a lower, and more phantom-like, value of $w_0$. Inclusion
of CMB data provides tighter constraints $\Omega_l < 0.1$. (Here $\Omega_l$
encodes the ratio of the five and four dimensional Planck mass.) The Hubble
parameter in this case is more tightly constrained to $H_0 < 71$ km/s/Mpc, and
the effective equation of state to $w_0 < -1.1$. Interestingly, we find that
the universe is allowed be closed or open, with $-0.5 < \Omega_{\kappa} < 0.5$,
even on including the compressed CMB data. There appears to be some tension in
the low and high $z$ BAO data which may either be resolved by future data, or
act as a pointer to interesting new cosmology.


title: Computing L-series of geometrically hyperelliptic curves of genus three

abstract:
  Let C/Q be a curve of genus three, given as a double cover of a plane conic.
Such a curve is hyperelliptic over the algebraic closure of Q, but may not have
a hyperelliptic model of the usual form over Q. We describe an algorithm that
computes the local zeta functions of C at all odd primes of good reduction up
to a prescribed bound N. The algorithm relies on an adaptation of the
"accumulating remainder tree" to matrices with entries in a quadratic field. We
report on an implementation, and compare its performance to previous algorithms
for the ordinary hyperelliptic case.


title: Subhalo abundance matching in $f(R)$ gravity

abstract:
  Using the liminality N-body simulations of Shi et. al., we present the first
predictions for galaxy clustering in $f(R)$ gravity using subhalo abundance
matching. We find that, for a given galaxy density, even for an $f(R)$ model
with $f_{R0}=-10^{-6}$, for which the cold dark matter clustering is very
similar to $\Lambda$CDM, the predicted clustering of galaxies in the $f(R)$
model is very different from $\Lambda$CDM. The deviation can be as large as
$40\%$ for samples with mean densities close to that of $L_*$ galaxies. This
large deviation is testable given the accuracy that future large-scale galaxy
surveys aim to achieve. Our result demonstrates that galaxy surveys can provide
a stringent test of General Relativity on cosmological scales, which is
comparable to the tests from local astrophysical observations.


title: Contagion on complex networks with persuasion

abstract:
  The threshold model has been widely adopted as a classic model for studying
contagion processes on social networks. We consider asymmetric individual
interactions in social networks and introduce a persuasion mechanism into the
threshold model. Specifically, we study a combination of adoption and
persuasion in cascading processes on complex networks. It is found that with
the introduction of the persuasion mechanism, the system may become more
vulnerable to global cascades, and the effects of persuasion tend to be more
significant in heterogeneous networks than those in homogeneous networks: a
comparison between heterogeneous and homogeneous networks shows that under weak
persuasion, heterogeneous networks tend to be more robust against random shocks
than homogeneous networks; whereas under strong persuasion, homogeneous
networks are more stable. Finally, we study the effects of adoption and
persuasion threshold heterogeneity on systemic stability. Though both
heterogeneities give rise to global cascades, the adoption heterogeneity has an
overwhelmingly stronger impact than the persuasion heterogeneity when the
network connectivity is sufficiently dense.


title: Ternary Weight Networks

abstract:
  We introduce ternary weight networks (TWNs) - neural networks with weights
constrained to +1, 0 and -1. The Euclidian distance between full (float or
double) precision weights and the ternary weights along with a scaling factor
is minimized. Besides, a threshold-based ternary function is optimized to get
an approximated solution which can be fast and easily computed. TWNs have
stronger expressive abilities than the recently proposed binary precision
counterparts and are thus more effective than the latter. Meanwhile, TWNs
achieve up to 16$\times$ or 32$\times$ model compression rate and need fewer
multiplications compared with the full precision counterparts. Benchmarks on
MNIST, CIFAR-10, and large scale ImageNet datasets show that the performance of
TWNs is only slightly worse than the full precision counterparts but
outperforms the analogous binary precision counterparts a lot.


title: Conformal Phase Diagram of Complete Asymptotically Free Theories

abstract:
  We investigate the ultraviolet and infrared fixed point structure of
gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and
scalar self coupling. Our investigations are performed using the two loop gauge
beta function, one loop Yukawa beta function and one loop scalar beta function.
We provide the general conditions that the beta function coefficients must
abide for the theory to be completely asymptotically free while simultaneously
possessing an infrared stable fixed point. We also uncover special trajectories
in coupling space along which some couplings are both asymptotically safe and
infrared conformal.


title: Rogue waves in multiphase solutions of the focusing NLS equation

abstract:
  Rogue waves appearing on deep water or in optical fibres are often modelled
by certain breather solutions of the focusing nonlinear Schr\"odinger (fNLS)
equation which are referred to as solitons on finite background (SFBs). A more
general modelling of rogue waves can be achieved via the consideration of
multiphase, or finite-band, fNLS solutions of whom the standard SFBs and the
structures forming due to their collisions represent particular, degenerate,
cases. A generalised rogue wave notion then naturally enters as a
large-amplitude localised coherent structure occurring within a finite-band
fNLS solution. In this paper, we use the winding of real tori to show the
mechanism of the appearance of such generalized rogue waves and derive an
analytical criterion distinguishing finite-band potentials of the fNLS equation
that exhibit generalised rogue waves.


title:
Participating or Not Participating? A Sociomaterial Perspective of the
  Embeddedness of Online Communities in Everyday Life

abstract:
  Online communities are increasingly becoming a venue for socializing,
engaging in politics, and conducting business. Ironically, the same enabling
social media technology is encroaching into everyday life and reconfiguring
relations of participation. Yet, while participation in online communities has
been widely studied empirically, theoretical aspects of this social phenomenon
need further investigation. This paper uses a sociomaterial perspective to
further develop theoretical explanation of participation in online communities
and the impacts of not participating online. A sociomaterial view of online
community participation decenters the human participant and recognises the
agency of technology, thus creating a richer understanding than epistemological
paradigms. Using converging hermeneutic circles, the paper first reviews
literature for evidence of sociomaterial applications to online community
research, and then proposes a framework for expressing participation in online
communities from a sociomaterial perspective. Subsequently, implications of the
findings and the potential for future studies are discussed.


title: On the Complexity of Connection Games

abstract:
  In this paper, we study three connection games among the most widely played:
Havannah, Twixt, and Slither. We show that determining the outcome of an
arbitrary input position is PSPACE-complete in all three cases. Our reductions
are based on the popular graph problem Generalized Geography and on Hex itself.
We also consider the complexity of generalizations of Hex parameterized by the
length of the solution and establish that while Short Generalized Hex is
W[1]-hard, Short Hex is FPT. Finally, we prove that the ultra-weak solution to
the empty starting position in hex cannot be fully adapted to any of these
three games.


title:
Characteristics of persistent spin current components in a
  quasi-periodic Fibonacci ring with spin-orbit interactions: Prediction of
  spin-orbit coupling and on-site energy

abstract:
  In the present work we investigate the behavior of all three components of
persistent spin current in a quasi-periodic Fibonacci ring subjected to Rashba
and Dresselhaus spin-orbit interactions. Analogous to persistent charge current
in a conducting ring where electrons gain a Berry phase in presence of magnetic
flux, spin Berry phase is associated during the motion of electrons in presence
of a spin-orbit field which is responsible for the generation of spin current.
The interplay between two spin-orbit fields along with quasi-periodic Fibonacci
sequence on persistent spin current is described elaborately, and from our
analysis, we can estimate the strength of any one of two spin-orbit couplings
together with on-site energy, provided the other is known.


title:
Do Users Focus on the Correct Cues to Differentiate Between Phishing and
  Genuine Emails?

abstract:
  This paper examines the cues that typically differentiate phishing emails
from genuine emails. The research is conducted in two stages. In the first
stage, we identify the cues that actually differentiate between phishing and
genuine emails. These are the consistency and personalisation of the message,
the perceived legitimacy of links and sender, and the presence of spelling or
grammatical irregularities. In the second stage, we identify the cues that
participants use to differentiate between phishing and genuine emails. This
revealed that participants often use cues that are not good indicators of
whether an email is phishing or genuine. This includes the presence of legal
disclaimers, the quality of visual presentation, and the positive consequences
emphasised in the email. This study has implications for education and training
and provides a basis for the design and development of targeted and more
relevant training and risk communication strategies.


title:
A Bayesian approach to parameter identification with an application to
  Turing systems

abstract:
  We present a Bayesian methodology for infinite as well as finite dimensional
parameter identification for partial differential equation models. The Bayesian
framework provides a rigorous mathematical framework for incorporating prior
knowledge on uncertainty in the observations and the parameters themselves,
resulting in an approximation of the full probability distribution for the
parameters, given the data. Although the numerical approximation of the full
probability distribution is computationally expensive, parallelised algorithms
can make many practically relevant problems computationally feasible. The
probability distribution not only provides estimates for the values of the
parameters, but also provides information about the inferability of parameters
and the sensitivity of the model. This information is crucial when a
mathematical model is used to study the outcome of real-world experiments.
Keeping in mind the applicability of our approach to tackle real-world
practical problems with data from experiments, in this initial proof of concept
work, we apply this theoretical and computational framework to parameter
identification for a well studied semilinear reaction-diffusion system with
activator-depleted reaction kinetics, posed on evolving and stationary domains.


title: Optimal Tagging with Markov Chain Optimization

abstract:
  Many information systems use tags and keywords to describe and annotate
content. These allow for efficient organization and categorization of items, as
well as facilitate relevant search queries. As such, the selected set of tags
for an item can have a considerable effect on the volume of traffic that
eventually reaches an item. In settings where tags are chosen by an item's
creator, who in turn is interested in maximizing traffic, a principled approach
for choosing tags can prove valuable. In this paper we introduce the problem of
optimal tagging, where the task is to choose a subset of tags for a new item
such that the probability of a browsing user reaching that item is maximized.
We formulate the problem by modeling traffic using a Markov chain, and asking
how transitions in this chain should be modified to maximize traffic into a
certain state of interest. The resulting optimization problem involves
maximizing a certain function over subsets, under a cardinality constraint. We
show that the optimization problem is NP-hard, but nonetheless has a simple
(1-1/e)-approximation via a simple greedy algorithm. Furthermore, the structure
of the problem allows for an efficient implementation of the greedy step.To
demonstrate the effectiveness of our method, we perform experiments on three
tagging datasets, and show that the greedy algorithm outperforms other
baselines.


title:
Galaxy And Mass Assembly (GAMA): Understanding the wavelength dependence
  of galaxy structure with bulge-disc decompositions

abstract:
  With a large sample of bright, low-redshift galaxies with optical$-$near-IR
imaging from the GAMA survey we use bulge-disc decompositions to understand the
wavelength-dependent behavior of single-S\'ersic structural measurements.
  We denote the variation in single-S\'ersic index with wavelength as
$\mathcal{N}$, likewise for effective radius we use $\mathcal{R}$. We find that
most galaxies with a substantial disc, even those with no discernable bulge,
display a high value of $\mathcal{N}$. The increase in S\'ersic index to longer
wavelengths is therefore intrinsic to discs, apparently resulting from radial
variations in stellar population and/or dust reddening. Similarly, low values
of $\mathcal{R}$ ($<$ 1) are found to be ubiquitous, implying an element of
universality in galaxy colour gradients.
  We also study how bulge and disc colour distributions vary with galaxy type.
We find that, rather than all bulges being red and all discs being blue in
absolute terms, both components become redder for galaxies with redder total
colours. We even observe that bulges in bluer galaxies are typically bluer than
discs in red galaxies, and that bulges and discs are closer in colour for
fainter galaxies. Trends in total colour are therefore not solely due to the
colour or flux dominance of the bulge or disc.


title: Orthogonal Basis Spreading Sequence for Optimal CDMA

abstract:
  Recently, new spreading sequences have been proposed to increase the capacity
of users. In particular, the Weyl spreading sequences have the larger capacity
of users than the Gold codes. This paper shows that the Weyl spreading
sequences appear in a bit recovering model and they are orthogonal basis
vectors. This result shows the reason why they have the large capacity and that
any spreading sequence is expressed as the sum of the Weyl spreading sequences.


title: On the reduced grades of modules over commutative rings

abstract:
  Let R be a commutative Noetherian ring. Recently, Dibaei and Sadeghi have
studied the reduced grade of a horizontally linked R-module M of finite
GC-dimension, where C is a semidualizing R-module. In this paper, we highly
refine their results. In particular, our main result removes the assumptions
that M is holizontally linked and M has finite GC -dimension.


title:
Online Social Networking Has a Greater Effect on Others than on Me: A
  Third-Person Effect Perspective

abstract:
  To date, much research has been conducted on the positive and negative
effects of online social networking (OSN). However, how users perceive others
and themselves being subject to these effects and the consequences of users'
perceptions are understudied. Drawing from the third-person effect theory, this
study examines the self-other perceptual gap for positive and negative effects
of OSN and the consequences of perceptions for negative effects. Findings from
our online survey (N=187) and interviews (N=8) suggested a significant
difference between the perceived positive and negative effects on self and on
others. Furthermore, the link between the third-person perception for usage
risks of OSN and support for taking privacy protection actions was confirmed.
We also found that the self-other discrepant perceptions were not influenced by
age, time spent on OSN, number of OSN friends. However, gender emerged as a key
difference in the third-person effects gap for privacy risks.


title: Ionization fraction and the enhanced sulfur chemistry in Barnard 1

abstract:
  Barnard B1b has revealed as one of the most interesting globules from the
chemical and dynamical point of view. It presents a rich molecular chemistry
characterized by large abundances of deuterated and complex molecules.
Furthermore, it hosts an extremely young Class 0 object and one candidate to
First Hydrostatic Core (FHSC). Our aim was to determine the cosmic ray
ionization rate and the depletion factors in this extremely young star forming
region. We carried out a spectral survey towards Barnard 1b as part of the IRAM
Large program ASAI using the IRAM 30-m telescope at Pico Veleta (Spain). This
provided a very complete inventory of neutral and ionic C-, N- and S- bearing
species with, up to our knowledge, the first secure detections of the
deuterated ions DCS+ and DOCO+. We used a state-of-the-art
pseudo-time-dependent gas-phase chemical model to determine the value of the
cosmic ray ionization rate and the depletion factors. The observational data
were well fitted with $\zeta_{H_2}$ between 3E-17 s$^{-1}$ and 1E-16 s$^{-1}$.
Elemental depletions were estimated to be ~10 for C and O, ~1 for N and ~25 for
S. Barnard B1b presents similar depletions of C and O than those measured in
pre-stellar cores. The depletion of sulfur is higher than that of C and O but
not as extreme as in cold cores. In fact, it is similar to the values found in
some bipolar outflows, hot cores and photon-dominated regions. Several
scenarios are discussed to account for these peculiar abundances. We propose
that it is the consequence of the initial conditions (important outflows and
enhanced UV fields in the surroundings) and a rapid collapse (~0.1 Myr) that
permits to maintain most S- and N-bearing species in gas phase to great optical
depths. The interaction of the compact outflow associated with B1b-S with the
surrounding material could enhance the abundances of S-bearing molecules, as
well.


title: A Design Science Method for Emerging Decision Support Environments

abstract:
  Emerging technologies and business models require organisations to
continuously deal with complex, dynamic and unstructured issues, leading to the
need for newer forms of decision support systems (DSS). However, in emerging
environments the existing knowledge base can be scattered, unstructured, and
sometimes conflicting, which challenges any efforts in designing DSS. This
paper highlights the role of design science methods in developing these
emerging areas, and suggests a design science method that focuses on
consolidating the knowledge base by ontologically grounding experience and
expertise. The proposed method is illustrated in the context of a published
case, and validated by practically applying it to develop a crowdsourcing
decision tool. The study contributes with recommendations on how to consolidate
the knowledge base and design DSS artefacts.


title:
Statistics of Projected Motion in one dimension of a d-dimensional
  Random Walker

abstract:
  We are studying the motion of a random walker in generalized d dimensional
continuum with unit step length (up to 10 dimensions) and its projected one
dimensional motion numerically. The motion of a random walker in lattice or
continuum is well studied in statistical physics but what will be the
statistics of projected one dimensional motion of higher dimensional random
walker is yet to be explored. Here in this paper, addressing this particular
type of problem, we have showed that the projected motion is diffusive
irrespective of any dimension, however, the diffusion rate is changing
inversely with dimension. As a consequence, we can say that at infinite
dimension the diffusion rate becomes zero. This is an interesting result, at
least pedagogically, which implies that though in infinite dimension there is a
diffusion but its one dimensional projection is motionless. At the end of the
discussion we are able to make a good comparison between projected one
dimensional motion of generalized d-dimensional random walk with unit step
length and pure one dimensional random walk with random step length varying
uniformly between -h to h where h is a step length renormalizing factor.


title: Light guiding above the light line in arrays of dielectric nanospheres

abstract:
  We consider light propagation above the light line in arrays of spherical
dielectric nanoparticles. It is demonstrated numerically that quasi-bound leaky
modes of the array can propagate both stationary waves and light pulses to a
distance of hundreds wavelengths at the frequencies close to the bound states
in the radiation continuum. A semi-analytical estimate for decay rates of the
guided waves is found to match the numerical data to a good accuracy.


title:
Local-global principle for reduced norms over function fields of p-adic
  curves

abstract:
  Let F be a function field in one variable over a p-adic field and D a central
division algebra over F of degree n coprime to p. We prove that Suslin
invariant detects whether an element in F is a reduced norm. This leads to a
local-global principle for reduced norms with respect to all discrete
valuations of F.


title: Inference for the Mann-Whitney Effect for Right-Censored and Tied Data

abstract:
  The Mann-Whitney effect is an intuitive measure for discriminating two
survival distributions. Here we analyze various inference techniques for this
parameter in a two-sample survival setting with independent right-censoring,
where the survival times are even allowed to be discretely distributed. This
allows for ties in the data and requires the introduction of normalized
versions of Kaplan-Meier estimators from which adequate point estimates are
deduced. From an asymptotic analysis of the latter, asymptotically exact
inference procedures based on standard normal, bootstrap- and
permutation-quantiles are developed and compared in simulations. Here, the
asymptotically robust and, in case of equal survival and censoring
distributions, even finitely exact permutation procedure turned out to be the
best. Finally, all procedures are illustrated using a real data set.


title: $K_{4}$-Minor-Free Induced Subgraphs of Sparse Connected Graphs

abstract:
  We prove that every connected graph $G$ with $m$ edges contains a set $X$ of
at most $\frac{3}{16}(m + 1)$ vertices such that $G-X$ has no $K_4$ minor, or
equivalently, has treewidth at most $2$. This bound is best possible.
Connectivity is essential: If $G$ is not connected then only a bound of
$\frac{1}{5}m$ can be guaranteed.


title: CNN based texture synthesize with Semantic segment

abstract:
  Deep learning algorithm display powerful ability in Computer Vision area, in
recent year, the CNN has been applied to solve problems in the subarea of
Image-generating, which has been widely applied in areas such as photo editing,
image design, computer animation, real-time rendering for large scale of scenes
and for visual effects in movies. However in the texture synthesize procedure.
The state-of-art CNN can not capture the spatial location of texture in image,
lead to significant distortion after texture synthesize, we propose a new way
to generating-image by adding the semantic segment step with deep learning
algorithm as Pre-Processing and analyze the outcome.


title:
Cavity photons as a probe for charge relaxation resistance and photon
  emission in a quantum dot coupled to normal and superconducting continua

abstract:
  Microwave cavities have been widely used to investigate the behavior of
closed few-level systems. Here, we show that they also represent a powerful
probe for the dynamics of charge transfer between a discrete electronic level
and fermionic continua. We have combined experiment and theory for a carbon
nanotube quantum dot coupled to normal metal and superconducting contacts. In
equilibrium conditions, where our device behaves as an effective quantum
dot-normal metal junction, we approach a universal photon dissipation regime
governed by a quantum charge relaxation effect. We observe how photon
dissipation is modified when the dot admittance turns from capacitive to
inductive. When the fermionic reservoirs are voltage biased, the dot can even
cause photon emission due to inelastic tunneling to/from a
Bardeen-Cooper-Schrieffer peak in the density of states of the superconducting
contact. We can model these numerous effects quantitatively in terms of the
charge susceptibility of the quantum dot circuit. This validates an approach
that could be used to study a wide class of mesoscopic QED devices.

categories: cond-mat.mes-hall cond-mat.str-el cond-mat.supr-con quant-ph


title: Synchronization in the random field Kuramoto model on complex networks

abstract:
  We study the impact of random pinning fields on the emergence of synchrony in
the Kuramoto model on complete graphs and uncorrelated random complex networks.
We consider random fields with uniformly distributed directions and homogeneous
and heterogeneous (Gaussian) field magnitude distribution. In our analysis we
apply the Ott-Antonsen method and the annealed-network approximation to find
the critical behavior of the order parameter. In the case of homogeneous
fields, we find a tricritical point above which a second-order phase transition
gives place to a first-order phase transition when the network is either fully
connected, or scale-free with the degree exponent $\gamma>5$. Interestingly,
for scale-free networks with $2<\gamma \leq 5$, the phase transition is of
second-order at any field magnitude, except for degree distributions with
$\gamma=3$ when the transition is of infinite order at $K_c=0$ independently on
the random fields. Contrarily to the Ising model, even strong Gaussian random
fields do not suppress the second-order phase transition in both complete
graphs and scale-free networks though the fields increase the critical coupling
for $\gamma > 3$. Our simulations support these analytical results.


title: Differentiating along rectangles in lacunary directions

abstract:
  We show that, given some lacunary sequence of angles
$\mathbf{\theta}=(\theta_j)_{j\in\N}$ not converging too fast to zero, it is
possible to build a rare differentiation basis $\mathcal{B}$ of rectangles
parallel to the axes that differentiates $L^1(\mathbb{R}^2)$ while the basis
$\mathcal{B}_{\mathbf{\theta}}$ obtained from $\mathcal{B}$ by allowing its
elements to rotate around their lower left vertex by the angles $\theta_j$,
$j\in\mathbb{N}$, fails to differentiate all Orlicz spaces lying between
$L^1(\mathbb{R}^2)$ and $L\log L(\mathbb{R}^2)$.


title: Towers in filters, cardinal invariants, and Luzin type families

abstract:
  We investigate which filters on $\omega$ can contain towers, that is, a
modulo finite descending sequence without any pseudointersection (in
$[\omega]^\omega$). We prove the following results:
  - Many classical examples of nice tall filters contain no towers (in ZFC).
  - It is consistent that tall analytic P-filters contain towers of arbitrary
regular height (simultaneously for many regular cardinals as well).
  - It is consistent that all towers generate non-meager filters, in particular
(consistently) Borel filters do not contain towers.
  - The statement "Every ultrafilter contains towers." is independent of ZFC.
  Furthermore, we study many possible logical (non)implications between the
existence of towers in filters, inequalities between cardinal invariants of
filters ($\mbox{add}^*(\mathcal F)$, $\mbox{cof}^*(\mathcal F)$,
$\mbox{non}^*(\mathcal F)$, and $\mbox{cov}^*(\mathcal F)$), and the existence
of Luzin type families (of size $\geq \omega_2$), that is, if $\mathcal F$ is a
filter then $X\subseteq [\omega]^\omega$ is an $\mathcal F$-Luzin family if
$\{A\in X:|A\setminus F|=\omega\}$ is countable for every $F\in \mathcal F$.


title:
Non-perturbative bottom PDF and its possible impact on new physics
  searches

abstract:
  Heavy quark parton distribution functions (PDFs) play an important role in
several Standard Model and New Physics processes. Most PDF analyses rely on the
assumption that the charm and bottom PDFs are generated perturbatively by gluon
splitting and do not include any non-perturbative degrees of freedom. However,
a non-perturbative, intrinsic heavy quark PDFs have been predicted in the
literature. We demonstrate that to a very good approximation the
scale-evolution of the intrinsic heavy quark content of the nucleon is governed
by non-singlet evolution equations, and use this approximation to model the
intrinsic bottom distribution and its impact on parton-parton luminosities at
the LHC.


title:
Order of the canonical vector bundle over configuration spaces of
  disjoint unions of spheres

abstract:
  Given a vector bundle, its (stable) order is the smallest positive integer n
such that the n-fold self-Whitney sum is (stably) trivial. So far, the order
and the stable order of the canonical vector bun- dle over configuration spaces
of Euclidean spaces have been studied by F.R. Cohen, R.L. Cohen, N.J. Kuhn and
J.L. Neisendorfer [5], F.R. Cohen, M.E. Mahowald and R.J. Milgram [7], and S.W.
Yang [17]. Moreover, the order and the stable order of the canonical vec- tor
bundle over configuration spaces of closed orientable Riemann surfaces with
genus greater than or equal to one have been studied by F.R. Cohen, R.L. Cohen,
B. Mann and R.J. Milgram [6]. In this paper, we mainly study the order and the
stable order of the canonical vector bundle over configuration spaces of
disjoint unions of spheres.


title:
Track reconstruction through the application of the Legendre Transform
  on ellipses

abstract:
  We propose a pattern recognition method that identifies the common tangent
lines of a set of ellipses. The detection of the tangent lines is attained by
applying the Legendre transform on a given set of ellipses. As context, we
consider a hypothetical detector made out of layers of chambers, each of which
returns an ellipse as an output signal. The common tangent of these ellipses
represents the trajectory of a charged particle crossing the detector. The
proposed method is evaluated using ellipses constructed from Monte Carlo
generated tracks.


title:
MODA: MOdule Differential Analysis for weighted gene co-expression
  network

abstract:
  Gene co-expression network differential analysis is designed to help
biologists understand gene expression patterns under different condition. By
comparing different gene co-expression networks we may find conserved part as
well as condition specific set of genes. Taking the network as a collection as
modules, we use a sample-saving method to construct condition-specific gene
co-expression network, and identify differentially expressed subnetworks as
conserved or condition specific modules which may be associated with biological
processes. We have implemented the method as an R package which establishes a
pipeline from expression profile to biological explanations. The usefulness of
the method is also demonstrated by synthetic data as well as Daphnia magna gene
expression data under different environmental stresses.


title:
Pairwise maximum-entropy models and their Glauber dynamics: bimodality,
  bistability, non-ergodicity problems, and their elimination via inhibition

abstract:
  Pairwise maximum-entropy models have been used in recent neuroscientific
literature to predict the activity of neuronal populations, given only the
time-averaged correlations of the neuron activities. This paper provides
evidence that the pairwise model, applied to experimental recordings, predicts
a bimodal distribution for the population-averaged activity, and for some
population sizes the second mode peaks at high activities, with 90% of the
neuron population active within time-windows of few milliseconds. This
bimodality has several undesirable consequences: 1. The presence of two modes
is unrealistic in view of observed neuronal activity. 2. The prediction of a
high-activity mode is unrealistic on neurobiological grounds. 3. Boltzmann
learning becomes non-ergodic, hence the pairwise model found by this method is
not the maximum entropy distribution; similarly, solving the inverse problem by
common variants of mean-field approximations has the same problem. 4. The
Glauber dynamics associated with the model is either unrealistically bistable,
or does not reflect the distribution of the pairwise model. This bimodality is
first demonstrated for an experimental dataset comprising 159 neuron activities
recorded from the motor cortex of macaque monkey. Using a reduced
maximum-entropy model, evidence is then provided that this bimodality affects
typical neural recordings of population sizes of a couple of hundreds or more
neurons. As a way to eliminate the bimodality and its ensuing problems, a
modified pairwise model is presented, which -- most important -- has an
associated pairwise Glauber dynamics. This model avoids bimodality thanks to a
minimal asymmetric inhibition. It can be interpreted as a
minimum-relative-entropy model with a particular prior, or as a maximum-entropy
model with an additional constraint.


title:
QUIJOTE Scientific Results. II. Polarisation Measurements of the
  Microwave Emission in the Galactic molecular complexes W43 and W47 and
  supernova remnant W44

abstract:
  We present Q-U-I JOint TEnerife (QUIJOTE) intensity and polarisation maps at
10-20 GHz covering a region along the Galactic plane 24<l<45 deg, |b|<8 deg.
These maps result from 210 h of data, have a sensitivity in polarisation of ~40
muK/beam and an angular resolution of ~1 deg. Our intensity data are crucial to
confirm the presence of anomalous microwave emission (AME) towards the two
molecular complexes W43 (22 sigma) and W47 (8 sigma). We also detect at high
significance (6 sigma) AME associated with W44, the first clear detection of
this emission towards a SNR. The new QUIJOTE polarisation data, in combination
with WMAP, are essential to: i) Determine the spectral index of the synchrotron
emission in W44, beta_sync =-0.62 +/-0.03, in good agreement with the value
inferred from the intensity spectrum once a free-free component is included in
the fit. ii) Trace the change in the polarisation angle associated with Faraday
rotation in the direction of W44 with rotation measure -404 +/- 49 rad/m2. And
iii) set upper limits on the polarisation of W43 of Pi_AME <0.39 per cent (95
per cent C.L.) from QUIJOTE 17~GHz, and <0.22 per cent from WMAP 41 GHz data,
which are the most stringent constraints ever obtained on the polarisation
fraction of the AME. For typical physical conditions (grain temperature and
magnetic field strengths), and in the case of perfect alignment between the
grains and the magnetic field, the models of electric or magnetic dipole
emissions predict higher polarisation fractions.


title: The Continuum Limit of Causal Fermion Systems

abstract:
  This monograph introduces the basic concepts of the theory of causal fermion
systems, a recent approach to the description of fundamental physics. The
theory yields quantum mechanics, general relativity and quantum field theory as
limiting cases and is therefore a candidate for a unified physical theory. From
the mathematical perspective, causal fermion systems provide a general
framework for describing and analyzing non-smooth geometries and "quantum
geometries." The dynamics is described by a novel variational principle, called
the causal action principle.
  In addition to the basics, the book provides all the necessary mathematical
background and explains how the causal action principle gives rise to the
interactions of the standard model plus gravity on the level of
second-quantized fermionic fields coupled to classical bosonic fields. The
focus is on getting a mathematically sound connection between causal fermion
systems and physical systems in Minkowski space.
  The book is intended for graduate students entering the field, and is
furthermore a valuable reference work for researchers in quantum field theory
and quantum gravity.


title: Room-temperature exciton-polaritons with two-dimensional WS2

abstract:
  Two-dimensional transition metal dichalcogenides exhibit strong optical
transitions with significant potential for optoelectronic devices. In
particular they are suited for cavity quantum electrodynamics in which strong
coupling leads to polariton formation as a root to realisation of inversionless
lasing, polariton condensationand superfluidity. Demonstrations of such
strongly correlated phenomena to date have often relied on cryogenic
temperatures, high excitation densities and were frequently impaired by strong
material disorder. At room-temperature, experiments approaching the strong
coupling regime with transition metal dichalcogenides have been reported, but
well resolved exciton-polaritons have yet to be achieved. Here we report a
study of monolayer WS$_2$ coupled to an open Fabry-Perot cavity at
room-temperature, in which polariton eigenstates are unambiguously displayed.
In-situ tunability of the cavity length results in a maximal Rabi splitting of
$\hbar \Omega_{\rm{Rabi}} = 70$ meV, exceeding the exciton linewidth. Our data
are well described by a transfer matrix model appropriate for the large
linewidth regime. This work provides a platform towards observing strongly
correlated polariton phenomena in compact photonic devices for ambient
temperature applications.


title:
Formal Modelling, Testing and Verification of HSA Memory Models using
  Event-B

abstract:
  The HSA Foundation has produced the HSA Platform System Architecture
Specification that goes a long way towards addressing the need for a clear and
consistent method for specifying weakly consistent memory. HSA is specified in
a natural language which makes it open to multiple ambiguous interpretations
and could render bugs in implementations of it in hardware and software. In
this paper we present a formal model of HSA which can be used in the
development and verification of both concurrent software applications as well
as in the development and verification of the HSA-compliant platform itself. We
use the Event-B language to build a provably correct hierarchy of models from
the most abstract to a detailed refinement of HSA close to implementation
level. Our memory models are general in that they represent an arbitrary number
of masters, programs and instruction interleavings. We reason about such
general models using refinements. Using Rodin tool we are able to model and
verify an entire hierarchy of models using proofs to establish that each
refinement is correct. We define an automated validation method that allows us
to test baseline compliance of the model against a suite of published HSA
litmus tests. Once we complete model validation we develop a coverage driven
method to extract a richer set of tests from the Event-B model and a user
specified coverage model. These tests are used for extensive regression testing
of hardware and software systems. Our method of refinement based formal
modelling, baseline compliance testing of the model and coverage driven test
extraction using the single language of Event-B is a new way to address a key
challenge facing the design and verification of multi-core systems.


title: Auslander's Formula: Variations and Applications

abstract:
  According to the Auslander's formula one way of studying an abelian category
${\mathcal{C}}$ is to study ${\rm mod}\mbox{-}{\mathcal{C}}$, that has nicer
homological properties than ${\mathcal{C}}$, and then translate the results
back to ${\mathcal{C}}$. Recently Krause gave a derived version of this formula
and thus renewed the subject. This paper contains a detailed study of various
versions of Auslander formula including the versions for all modules and for
unbounded derived categories. We apply them to include some results concerning
recollements of triangulated categories.


title: Environment-induced quantum coherence spreading of a qubit

abstract:
  We make a thorough study of the spreading of quantum coherence (QC), as
quantified by the $l_{1}$-norm QC, when a qubit (a two-level quantum system) is
subjected to noise quantum channels commonly appearing in quantum information
science. We notice that QC is generally not conserved and that even incoherent
initial states can lead to transitory system-environment QC. We show that for
the amplitude damping channel the evolved total QC can be written as the sum of
local and non-local parts, with the last one being equal to entanglement. On
the other hand, for the phase damping channel (PDC) entanglement does not
account for all non-local QC, with the gap between them depending on time and
also on the qubit's initial state. Besides these issues, the possibility and
conditions for time invariance of QC are regarded in the case of bit, phase,
and bit-phase flip channels. Here we reveal the qualitative dynamical
inequivalence between these channels and the PDC and show that the creation of
system-environment entanglement does not necessarily imply in the destruction
of the qubit's QC. We also investigate the resources needed for non-local QC
creation, showing that while the PDC requires initial coherence of the qubit,
for some other channels non-zero population of the excited state (i.e., energy)
is sufficient. Related to that, considering the depolarizing channel we notice
the qubit's ability to act as a catalyst for the creation of joint QC and
entanglement, without need for nonzero initial QC or excited state population.


title: Invariant Einstein metrics on Ledger-Obata spaces

abstract:
  In this paper, we study invariant Einstein metrics on Ledger-Obata spaces
$F^m/\operatorname{diag}(F)$. In particular, we classify invariant Einstein
metrics on $F^4/\operatorname{diag}(F)$ and estimate the number of invariant
Einstein metrics on general Ledger-Obata spaces $F^{m}/\operatorname{diag}(F)$.


title:
Quantum Phase Transition of the Electron-Hole Liquid In the Coupled
  Quantum Wells

abstract:
  Many-component electron-hole plasma is considered in the Coupled Quantum
Wells (CQW). It is found that the homogeneous state of the plasma is unstable
if the carrier density is sufficiently small. The instability results in the
breakdown into two coexisting phase - a low-density gas phase and a
high-density electron-hole liquid. The homogeneous state of the electron-hole
liquid is stable if the distance between the quantum wells l is sufficiently
small. However, as the distance l increases and reaches a certain critical
value, the plasmon spectrum of the electron-hole liquid becomes unstable.
Hereupon, a quantum phase transition occurs, resulting in the appearance of the
charge density waves of finite amplitude in both quantum wells. The strong mass
renormalization and the strong Z-factor renormalization are found for the
electron-hole liquid as the quantum phase transition occurs.


title: Floquet approach to bichromatically driven cavity optomechanical systems

abstract:
  We develop a Floquet approach to solve time-periodic quantum Langevin
equations in steady state. We show that two-time correlation functions of
system operators can be expanded in a Fourier series and that a generalized
Wiener-Khinchin theorem relates the Fourier transform of their zeroth Fourier
component to the measured spectrum. We apply our framework to bichromatically
driven cavity optomechanical systems, a setting in which mechanical oscillators
have recently been prepared in quantum-squeezed states. Our method provides an
intuitive way to calculate the power spectral densities for time-periodic
quantum Langevin equations in arbitrary rotating frames.


title:
From nanoscale to macroscale: applications of nanotechnology to
  production of bulk ultra-strong materials

abstract:
  Carbon nanotubes have been famous since their discovery twenty years ago for
their remarkable physical properties, from strength a hundred times higher than
steel, to electrical current capacity a 1,000 times higher than copper. But so
far they have only been produced at most up to centimeter lengths.
  Here are presented some proposals to combine the nanotubes in such a way to
get arbitrarily long lengths while maintaining their extraordinary physical
properties.


title: Discrete Morse theory for the barycentric subdivision

abstract:
  Let $F$ be a discrete Morse function on a simplicial complex $L$. We
construct a discrete Morse function $\Delta(F)$ on the barycentric subdivision
$\Delta(L)$. The constructed function $\Delta(F)$ "behaves the same way" as
$F$, i. e. has the same number of critical simplexes and the same gradient path
structure.


title: Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids

abstract:
  In this paper, first we modify the definition of a Hom-Lie algebroid
introduced by Laurent-Gengoux and Teles and give its equivalent dual
description. Many results that parallel to Lie algebroids are given. In
particular, we give the notion of a Hom-Poisson manifold and show that there is
a Hom-Lie algebroid structure on the pullback of the cotangent bundle of a
Hom-Poisson manifold. Then we give the notion of a Hom-Lie bialgebroid, which
is a natural generalization of a purely Hom-Lie bialgebra and a Lie
bialgebroid. We show that the base manifold of a Hom-Lie bialgebroid is a
Hom-Poisson manifold. Finally, we introduce the notion of a Hom-Courant
algebroid and show that the double of a Hom-Lie bialgebroid is a Hom-Courant
algebroid. The underlying algebraic structure of a Hom-Courant algebroid is a
Hom-Leibniz algebra, or a Hom-Lie 2-algebra.


title: Asymptotic behaviour of coupled systems in discrete and continuous time

abstract:
  This paper investigates the asymptotic behaviour of solutions to certain
infinite systems of coupled recurrence relations. In particular, we obtain a
characterisation of those initial values which lead to a convergent solution,
and for initial values satisfying a slightly stronger condition we obtain an
optimal estimate on the rate of convergence. By establishing a connection with
a related problem in continuous time, we are able to use this optimal estimate
to improve the rate of convergence in the continuous setting obtained by the
authors in a previous paper. We illustrate the power of the general approach by
using it to study several concrete examples, both in continuous and in discrete
time.


title:
Novel halos in light kaonic nuclei as an indicator of nuclear equation
  of state at supra-normal densities

abstract:
  The sensitive correlations between the low-density halo structure and the
high-density properties of the nuclear equation of state (EOS) are constructed
in light kaonic nuclei with the relativistic mean-field theory. More
specifically, the $1p_{1/2}$ halo spreads out linearly with increasing the
pressure and sound velocity square at supra-normal densities and quadratically
with decreasing the incompressibility at saturation density. These results
suggest that the novel halo in light kaonic nuclei can serve as a sensitive
indicator of the nuclear EOS of symmetric matter at supra-normal densities.


title:
Quantifying the failure of Schr\"odinger dynamics in the free expansion
  of relativistic particles

abstract:
  It is known that Schr\"odinger equation fails in describing the dynamics of
highly energetic particles. We propose to quantify this lack of Lorentz
covariance by evaluating the probability for a particle to be measured outside
the set of light cones which are compatible to its initial wave function. We
consider a simple case of a particle released from a box, which, in turn, is
inside a larger container. It is shown that besides the increasing error at
relativistic energies, there may be a complete breakdown, with Schr\"odinger
dynamics implying in deterministic, superluminal signaling for Lorentz factors
above 129. In addition, we give an exact asymptotic expression for the
violation in local causality by employing the stationary exponent method, from
which the Compton wave length of the particle naturally arises as the relevant
scale for the stationary points.


title: Mono-jet Signatures of Gluphilic Scalar Dark Matter

abstract:
  A gluphilic scalar dark matter (GSDM) model has recently been proposed as an
interesting vision for WIMP dark matter communicating dominantly with the
Standard Model via gluons. We discuss the collider signature of a hard jet
recoiling against missing momentum ("mono-jet") in such a construction, whose
leading contribution is at one-loop. We compare the full one-loop computation
with an effective field theory (EFT) treatment, and find (as expected) that EFT
does not accurately describe regions of parameter space where mass of the
colored mediator particles are comparable to the experimental cuts on the
missing energy. We determine bounds (for several choices of SU(3)
representation of the mediator) from the $\sqrt{s}=$ 8 TeV data, and show the
expected reach of the $\sqrt{s}=$ 13 TeV LHC and a future 100 TeV $pp$ collider
to constrain or discover GSDM models.


title: Averaged Form of the Hardy-Littlewood Conjecture

abstract:
  We study the prime pair counting functions $\pi_{2k}(x),$ and their averages
over $2k.$ We show that good results can be achieved with relatively little
effort by considering averages. We prove an asymptotic relation for longer
averages of $\pi_{2k}(x)$ over $2k \leq x^\theta,$ $\theta > 7/12,$ and give an
almost sharp lower bound for fairly short averages over $k \leq C \log x,$ $C
>1/2.$ We generalize the ideas to other related problems.


title:
Anisotropic non-Gaussianity from Rotational Symmetry Breaking Excited
  Initial States

abstract:
  If the initial quantum state of the primordial perturbations broke rotational
invariance, that would be seen as a statistical anisotropy in the angular
correlations of the cosmic microwave background radiation (CMBR) temperature
fluctuations. This can be described by a general parameterisation of the
initial conditions that takes into account the possible direction-dependence of
both the amplitude and the phase of particle creation during inflation. The
leading effect in the CMBR two-point function is typically a quadrupole
modulation, whose coefficient is analytically constrained here to be $|B|
\lesssim 0.06$. The CMBR three-point function then acquires enhanced
non-gaussianity, especially for the local configurations. In the large
occupation number limit, a distinctive prediction is a modulation of the
non-gaussianity around a mean value depending on the angle that short and long
wavelength modes make with the preferred direction. The maximal variations with
respect to the mean value occur for the configurations which are coplanar with
the preferred direction and the amplitude of the non-gaussianity increases
(decreases) for the short wavelength modes aligned with (perpendicular to) the
preferred direction. For a high scale model of inflation with maximally pumped
up isotropic occupation and $\epsilon\simeq 0.01$ the difference between these
two configurations is about $0.27$, which could be detectable in the future.
For purely anisotropic particle creation, the non-Gaussianity can be larger and
its anisotropic feature very sharp. The non-gaussianity can then reach $f_{NL}
\sim 30$ in the preferred direction while disappearing from the correlations in
the orthogonal plane.


title:
Near perfect mode overlap between independently seeded, gain-switched
  lasers

abstract:
  We drastically improve the mode overlap between independently seeded,
gain-switched laser diodes operating at gigahertz repetition rates by
implementing a pulsed light seeding technique. Injecting pulsed light reduces
the emission time jitter and enables frequency chirp synchronization while
maintaining random optical phases of the emitted laser pulses. We measure
interference of these pulsed sources both in the macroscopic regime, where we
demonstrate near perfect mode overlap, and in the single photon regime, where
we achieve a Hong-Ou-Mandel dip visibility of 0.499+/-0.004, thus saturating
the theoretical limit of 0.5. The measurement results are reproduced by
Monte-Carlo simulations with no free parameters. Our light source is an ideal
solution for generation of high rate, indistinguishable coherent pulses for
quantum information applications.


title: Counting Spanning trees in double nested graphs

abstract:
  In this paper we give a linear time algorithm for computing the number of
spanninig trees in double nested graphs.


title: Concentration in the mobile operating systems market

abstract:
  Concentration phenomena concern the ICT market. Though the regulatory action
has been active mainly in the telecom network operators industry, even more
significant worldwide concentration phenomena affect other industries. The
market of mobile operating systems is analysed through two concentration
indices to get a quantitative picture of the current situation and its
evolution over time: the Hirschman Herfindahl Index (HHI) and the Four-Firm
Concentration Ratio (CR4). A strongly imbalanced oligopoly is shown to exist,
where the four major operating systems take over 99% of the market, but the
dominant operating system Android alone is installed on over 80% of the new
devices.


title: The spinning particle with curved target

abstract:
  We extend our previous calculation [arXiv:1511.02135] of the BV cohomology of
the spinning particle with a flat target to the general case, in which the
target carries a non-trivial pseudo-Riemannian metric and a magnetic field.


title: Conic bundles that are not birational to numerical Calabi--Yau pairs

abstract:
  Let $X$ be a general conic bundle over the projective plane with branch curve
of degree at least 19. We prove that there is no normal projective variety $Y$
that is birational to $X$ and such that some multiple of its anticanonical
divisor is effective. We also give such examples for 2-dimensional conic
bundles defined over a number field.


title: Geometry Aware Mappings for High Dimensional Sparse Factors

abstract:
  While matrix factorisation models are ubiquitous in large scale
recommendation and search, real time application of such models requires inner
product computations over an intractably large set of item factors. In this
manuscript we present a novel framework that uses the inverted index
representation to exploit structural properties of sparse vectors to
significantly reduce the run time computational cost of factorisation models.
We develop techniques that use geometry aware permutation maps on a tessellated
unit sphere to obtain high dimensional sparse embeddings for latent factors
with sparsity patterns related to angular closeness of the original latent
factors. We also design several efficient and deterministic realisations within
this framework and demonstrate with experiments that our techniques lead to
faster run time operation with minimal loss of accuracy.


title:
Non-Hermitian acoustic metamaterial for the complete control of sound by
  accessing the exceptional points

abstract:
  Non-Hermitian systems always play a negative role in wave manipulations due
to inherent non-conservation of energy as well as loss of information.
Recently, however, there has been a paradigm shift on utilizing non-Hermitian
systems to implement varied miraculous wave controlling. For example,
parity-time symmetric media with well-designed loss and gain are presented to
create a nontrivial effect of unidirectional diffraction, which is observed
near the exceptional points (EPs) in the non-Hermitian systems. Here, we report
the design and realization of non-Hermitian acoustic metamaterial (NHAM) and
show that by judiciously tailoring the inherent loss, the phase and amplitude
of reflection can possibly be tuned in a decoupled manner. Such decoupled
tuning of phase and amplitude is closely related to the EPs. As a demonstration
of functionality, we experimentally generate a high-quality acoustic hologram
via NHAM. Our work may open a new degree of freedom for realizing the complete
control of sound.


title: Exceptional times for percolation under exclusion dynamics

abstract:
  We analyse in this paper a conservative analogue of the celebrated model of
dynamical percolation introduced by H\"aggstr\"om, Peres and Steif in [HPS97].
It is simply defined as follows: start with an initial percolation
configuration $\omega(t=0)$. Let this configuration evolve in time according to
a simple exclusion process with symmetric kernel $K(x,y)$. We start with a
general investigation (following [HPS97]) of this dynamical process $t \mapsto
\omega_K(t)$ which we call $K$-exclusion dynamical percolation. We then proceed
with a detailed analysis of the planar case at the critical point (both for the
triangular grid and the square lattice $Z^2$) where we consider the power-law
kernels $K^\alpha$ \[ K^{\alpha}(x,y) \propto \frac 1 {\|x-y\|_2^{2+\alpha}} \,
. \] We prove that if $\alpha > 0$ is chosen small enough, there exist
exceptional times $t$ for which an infinite cluster appears in
$\omega_{K^{\alpha}}(t)$. (On the triangular grid, we prove that it holds for
all $\alpha < \alpha_0 = \frac {217}{816}$.) The existence of such exceptional
times for standard i.i.d. dynamical percolation (where sites evolve according
to independent Poisson point processes) goes back to the work by Schramm-Steif
in [SS10]. In order to handle such a $K$-exclusion dynamics, we push further
the spectral analysis of exclusion noise sensitivity which had been initiated
in [BGS13]. (The latter paper can be viewed as a conservative analogue of the
seminal paper by Benjamini-Kalai-Schramm [BKS99] on i.i.d. noise sensitivity.)
The case of a nearest-neighbour simple exclusion process, corresponding to the
limiting case $\alpha = +\infty$, is left widely open.


title: What can we really infer from GW 150914?

abstract:
  We analyze the event GW 150914 announced by the Advanced Laser Interferometer
Gravitational-Wave Observatory (LIGO) as the gravitational-wave emission of a
black-hole binary merger. We show that the parameters of the coalescing system
and of the newly formed Kerr black-hole can be extracted from basic results of
the gravitational-wave emission during the inspiraling and merger phases
without sophisticated numerical simulations. Our strikingly accurate estimates
are based on textbook formulas describing two different regimes: 1) the binary
inspiraling analysis treated in Landau and Lifshitz textbook, and 2) the plunge
of a particle into a black-hole, treated in the Rees-Ruffini-Wheeler textbook.
It is stressed that in order to infer any astrophysical information on the
masses of the system both regimes have to be independently and observationally
constrained by LIGO, which does not appear to be the case.


title:
Quenching in Chern insulators with satellite Dirac points: The fate of
  edge states

abstract:
  We perform a sudden quench on the Haldane model with long range interactions,
more specifically generalising to the next to next nearest neighbour hopping,
referred to as the $N3$ model in our work. Such a model possesses both
isotropic and multiple anisotropic (satellite) Dirac points which lead to a
rich topological phase diagram consisting of phases with higher Chern number
($C$). Quenches between the topological and the non-topological phases of such
an infinite system probe the effect of the presence of the anisotropic Dirac
points on the non-equilibrium response of the topological system.
Interestingly, the Chern number remains the same before and after the quench
for both the quenching protocols, even when the quench of the system is carried
out between two different topological phases. {However, for a finite system, we
establish that the initial edge current asymptotically decays to zero when the
system is quenched to the non-topological phase although the Chern number for
the corresponding periodically wrapped system remains unaltered; what is
remarkable is that when the Hamiltonian is quenched from $|C|=2$ phase to the
non-topological phase the edge current associated with the inner channel decays
at a faster rate than the outer channel resembling a situation in which the
system passes through the phase with $|C|=1$ before ending up in the phase
$C=0$.


title:
The minimal free resolution of fat almost complete intersections in
  $\mathbb{P}^1\times\mathbb{P}^1$

abstract:
  A current research theme is to compare symbolic powers of an ideal $I$ with
the regular powers of $I$. In this paper, we focus on the case that $I=I_X$ is
an ideal defining an almost complete intersection (ACI) sets of points $X$ in
$\mathbb{P}^1\times\mathbb{P}^1$. In particular, we describe a minimal free
bigraded resolution of a non arithmetically Cohen-Macaulay (also non
homogeneus) set of fat points $\mathcal Z$ whose support is an ACI. We call
$\mathcal Z$ a fat ACI. We also show that its symbolic and ordinary powers are
equal, i.e, $I_{\mathcal Z}^{(m)}=I_{\mathcal Z}^{m}$ for any $m\geq 1.$


title: Automatic Image Annotation via Label Transfer in the Semantic Space

abstract:
  Automatic image annotation is among the fundamental problems in computer
vision and pattern recognition, and it is becoming increasingly important in
order to develop algorithms that are able to search and browse large-scale
image collections. In this paper, we propose a label propagation framework
based on Kernel Canonical Correlation Analysis (KCCA), which builds a latent
semantic space where correlation of visual and textual features are well
preserved into a semantic embedding. The proposed approach is robust and can
work either when the training set is well annotated by experts, as well as when
it is noisy such as in the case of user-generated tags in social media. We
report extensive results on four popular datasets. Our results show that our
KCCA-based framework can be applied to several state-of-the-art label transfer
methods to obtain significant improvements. Our approach works even with the
noisy tags of social users, provided that appropriate denoising is performed.
Experiments on a large scale setting show that our method can provide some
benefits even when the semantic space is estimated on a subset of training
images.


title: Drag force in bimodal cubic-quintic nonlinear Schr\"odinger equation

abstract:
  We consider a system of two cubic-quintic non-linear Schr\"odinger equations
in two dimensions, coupled by repulsive cubic terms. We analyse situations in
which a probe lump of one of the modes is surrounded by a fluid of the other
one and analyse their interaction. We find a realization of D'Alembert's
paradox for small velocities and non-trivial drag forces for larger ones. We
present numerical analysis including the search of static and traveling
form-preserving solutions along with simulations of the dynamical evolution in
some representative examples.


title:
A Note on Efficient Performance Evaluation of the Cumulative Sum Chart
  and the Sequential Probability Ratio Test

abstract:
  We establish a simple connection between certain in-control characteristics
of the CUSUM Run Length and their out-of-control counterparts. The connection
is in the form of paired integral (renewal) equations. The derivation exploits
Wald's likelihood ratio identity and the well-known fact that the CUSUM chart
is equivalent to repetitive application of Wald's SPRT. The characteristics
considered include the entire Run Length distribution and all of the
corresponding moments, starting from the zero-state ARL. A particular practical
benefit of our result is that it enables the in- and out-of-control
characteristics of the CUSUM Run Length to be computed concurrently. Moreover,
due to the equivalence of the CUSUM chart to a sequence of SPRTs, the ASN and
OC functions of an SPRT under the null and under the alternative can all be
computed simultaneously as well. This would double up the efficiency of any
numerical method one may choose to devise to carry out the actual computations.


title: Two Person zero-sum fuzzy matrix games and extensions

abstract:
  In this work, fuzzy Linear programming problems (FLPP) and their
implementations is being done in two person zero-sum fuzzy matrix game theory,
based on Bector, Chandra and Vijay [2] model. Verification of solution of all
possible type of two person zero-sum game is done by solving examples by
numerical method.
  Generalized fuzzy set first introduced by Atanassov (1986) which is called
I-fuzzy set has been studied and using this knowledge, application in (FLPP)
and two person zero-sum matrix game with I-fuzzy goals is given. At the end I
gave useful MATLAB codes for solving all three type of two person zero-sum
fuzzy matrix games, with fuzzy goals, with fuzzy pay-offs and with both fuzzy
goals and fuzzy pay-offs.


title:
A Biased Review of Biases in Twitter Studies on Political Collective
  Action

abstract:
  In recent years researchers have gravitated to social media platforms,
especially Twitter, as fertile ground for empirical analysis of social
phenomena. Social media provides researchers access to trace data of
interactions and discourse that once went unrecorded in the offline world.
Researchers have sought to use these data to explain social phenomena both
particular to social media and applicable to the broader social world. This
paper offers a minireview of Twitter-based research on political crowd
behavior. This literature offers insight into particular social phenomena on
Twitter, but often fails to use standardized methods that permit interpretation
beyond individual studies. Moreover, the literature fails to ground
methodologies and results in social or political theory, divorcing empirical
research from the theory needed to interpret it. Rather, papers focus primarily
on methodological innovations for social media analyses, but these too often
fail to sufficiently demonstrate the validity of such methodologies. This
minireview considers a small number of selected papers; we analyze their (often
lack of) theoretical approaches, review their methodological innovations, and
offer suggestions as to the relevance of their results for political scientists
and sociologists.

categories: physics.soc-ph cs.CY cs.SI physics.data-an


title:
Multi-Sightline Observation of Narrow Absorption Lines in Lensed Quasar
  SDSS J1029+2623

abstract:
  We exploit the widely-separated images of the lensed quasar SDSS J1029+2623
($z_{em}$=2.197, $\theta =22^{\prime\prime}\!\!.5$) to observe its outflowing
wind through two different sightlines. We present an analysis of three
observations, including two with the Subaru telescope in 2010 February (Misawa
et al. 2013) and 2014 April (Misawa et al. 2014), separated by 4 years, and one
with the Very Large Telescope, separated from the second Subaru observation by
$\sim$2 months. We detect 66 narrow absorption lines (NALs), of which 24 are
classified as intrinsic NALs that are physically associated with the quasar
based on partial coverage analysis. The velocities of intrinsic NALs appear to
cluster around values of $v_{ej}$ $\sim$ 59,000, 43,000, and 29,000 km/s, which
is reminiscent of filamentary structures obtained by numerical simulations.
There are no common intrinsic NALs at the same redshift along the two
sightlines, implying that the transverse size of the NAL absorbers should be
smaller than the sightline distance between two lensed images. In addition to
the NALs with large ejection velocities of $v_{ej}$ > 1,000 km/s, we also
detect broader proximity absorption lines (PALs) at $z_{abs}$ $\sim$ $z_{em}$.
The PALs are likely to arise in outflowing gas at a distance of r $\leq$ 620 pc
from the central black hole with an electron density of $n_e$ $\geq$
8.7$\times$10$^{3}$ cm$^{-3}$. These limits are based on the assumption that
the variability of the lines is due to recombination. We discuss the
implications of these results on the three-dimensional structure of the
outflow.


title:
Understanding $B^-\rightarrow X(3823)K^-$ via rescattering mechanism and
  predicting $B^-\to \eta_{c2} (^1D_2)/\psi_3(^3D_3)K^-$

abstract:
  We study the observed $B^-\rightarrow X(3823)K^-$ decay via rescattering
mechanism and show that this branching ratio is well reproduced by this
mechanism. We further extend this theoretical framework to investigate the
decays of $B^-\to\eta_{c2} (^1D_2)/\psi_3(^3D_3)K^-$, where the $\eta_{c2}
(^1D_2)$ and the $\psi_3(^3D_3)$ are $D$-wave charmonium partners of the
$X(3823)$. Our results show that the branching ratios, $B^-\to \eta_{c2}(^1D_2)
K^-$ and $B^-\to \psi_3(^3D_3) K^-$, are of the order of $10^{-5}$, which can
be accessible at LHCb, Belle and forthcoming BelleII.


title: Rogers dilogarithms of higher degree and generalized cluster algebras

abstract:
  In connection with generalized cluster algebras we introduce a certain
generalization of the celebrated Rogers dilogarithm, which we call the Rogers
dilogarithms of higher degree. We show that there is an identity of these
generalized Rogers dilogarithms associated with any period of seeds of a
generalized cluster algebra.


title: Cylindrical Wigner measures

abstract:
  In this paper we study the semiclassical behavior of quantum states acting on
the C*-algebra of canonical commutation relations, from a general perspective.
The aim is to provide a unified and flexible approach to the semiclassical
analysis of bosonic systems. We also give a detailed overview of possible
applications of this approach to mathematical problems of both axiomatic
relativistic quantum field theories and nonrelativistic many body systems. If
the theory has infinitely many degrees of freedom, the set of Wigner measures,
i.e. the classical counterpart of the set of quantum states, coincides with the
set of all cylindrical measures acting on the algebraic dual of the space of
test functions for the field, and this reveals a very rich semiclassical
structure compared to the finite-dimensional case. We characterize the
cylindrical Wigner measures and the \emph{a priori} properties they inherit
from the corresponding quantum states.


title: Quasianalyticity in certain Banach function algebras

abstract:
  Let $X$ be a perfect, compact subset of the complex plane. We consider
algebras of those functions on $X$ which satisfy a generalised notion of
differentiability, which we call $\mathcal{F}$-differentiability. In
particular, we investigate a notion of quasianalyticity under this new notion
of differentiability and provide some sufficient conditions for certain
algebras to be quasianalytic. We give an application of our results in which we
construct an essential, natural uniform algebra $A$ on a locally connected,
compact Hausdorff space $X$ such that $A$ admits no non-trivial Jensen measures
yet is not regular. This construction improves an example of the first author
(2001).


title: The Local $h$-Polynomials of Cluster Subdivisions Have Only Real Zeros

abstract:
  Athanasiadis raised the question whether the local $h$-polynomials of type
$A$ cluster subdivisions have only real zeros. In this paper, we confirm this
conjecture and prove the real-rootedness of local $h$-polynomials for all the
other Cartan--Killing types. Our proofs mainly involve multiplier sequences and
Chebyshev polynomials of the second kind.


title:
Defect energetics and magnetic properties of 3d-transition-metal-doped
  topological crystalline insulator SnTe

abstract:
  The introduction of magnetism in SnTe-class topological crystalline
insulators is a challenging subject with great importance in the quantum device
applications. Based on the first-principles calculations, we have studied the
defect energetics and magnetic properties of 3d transition-metal (TM)-doped
SnTe. We find that the doped TM atoms prefer to stay in the neutral states and
have comparatively high formation energies, suggesting that the uniform TM
doping in SnTe with a higher concentration will be difficult unless clustering.
In the dilute doping regime, all the magnetic TM atoms are in the high-spin
states, indicating that the spin splitting energy of 3d TM is stronger than the
crystal splitting energy of the SnTe ligand. Importantly, Mn-doped SnTe has
relatively low defect formation energy, largest local magnetic moment, and no
defect levels in the bulk gap, suggesting that Mn is a promising magnetic
dopant to realize the magnetic order for the theoretically-proposed
large-Chern-number quantum anomalous Hall effect (QAHE) in SnTe.


title:
A relativistically exact Eikonal equation for optical fibers with
  application to adiabatically deforming ring interferometers

abstract:
  We derive the relativistically exact Eikonal equation for ring
interferometers undergoing deformations. For ring interferometers that undergo
slow deformation we describe the two leading terms in the adiabatic expansion
of the phase shift. The leading term is independent of the refraction index $n$
and is given by a line integral generalizing results going back to Sagnac
\cite{sagnac1913,wang2004,Ori} for non-deforming interferometers to all orders
in {$\beta=|\mathbf{v}|/c$}. In the non-relativistic limit {this term} is
$O(\beta)$. The next term in the adiabaticity has the form of a double
integral, it is of order $\beta^0$ and depends on the refractive index $n$. It
accounts for non-reciprocity due to changing circumstances in the fiber. The
adiabatic correction is often comparable to the Sagnac term. In particular,
this is the case in Fizeau's interferometer. Besides providing a mathematical
framework that puts all ring interferometers under a single umbrella, our
results generalize and strengthen results of \cite{Ori, shupe} to fibers with
chromatic dispersion.


title: Entropic uncertainty relation based on generalized uncertainty principle

abstract:
  We explore the modification of the entropic formulation of uncertainty
principle in quantum mechanics which measures the incompatibility of
measurements in terms of Shannon entropy. The deformation in question is the
type so called generalized uncertainty principle that is motivated by thought
experiments in quantum gravity and string theory and is characterized by a
parameter of Planck scale. The corrections are evaluated for small deformation
parameters by use of the Gaussian wave function and numerical calculation. As
the generalized uncertainty principle has proven to be useful in the study of
the quantum nature of black holes, this study would be a step toward
introducing an information theory viewpoint to black hole physics.


title:
Pinpointing Delay and Forwarding Anomalies Using Large-Scale Traceroute
  Measurements

abstract:
  Understanding network health is essential to improve Internet reliability.
For instance, detecting disruptions in peer and provider networks facilitates
the identification of connectivity problems. Currently this task is time
consuming for network operators. It involves a fair amount of manual
observation because operators have little visibility into other networks. In
this paper we leverage the RIPE Atlas measurement platform to monitor and
analyze network conditions. We propose a set of complementary methods to detect
network disruptions from traceroute measurements. A novel method of detecting
changes in delays is used to identify congested links, and a packet forwarding
model is employed to predict traffic paths and to identify faulty routers in
case of packet loss. In addition, aggregating results from each method allows
us to easily monitor a network and identify coordinated reports manifesting
significant network disruptions, reducing uninteresting alarms. Our
contributions consist of a statistical approach providing robust estimation for
Internet delays and the study of hundreds of thousands link delays. We present
three cases demonstrating that the proposed methods detect real disruptions and
provide valuable insights, as well as surprising findings, on the location and
impact of identified events.


title: An Alternative Matting Laplacian

abstract:
  Cutting out and object and estimate its transparency mask is a key task in
many applications. We take on the work on closed-form matting by Levin et al.,
that is used at the core of many matting techniques, and propose an alternative
formulation that offers more flexible controls over the matting priors. We also
show that this new approach is efficient at upscaling transparency maps from
coarse estimates.


title: Fully gapped $d$-wave superconductivity in CeCu$_2$Si$_2$

abstract:
  The nature of the pairing symmetry of the first heavy fermion superconductor
CeCu$_2$Si$_2$ has recently become the subject of controversy. While
CeCu$_2$Si$_2$ was generally believed to be a $d$-wave superconductor, recent
low temperature specific heat measurements showed evidence for fully gapped
superconductivity, contrary to the nodal behavior inferred from earlier
results. Here we report London penetration depth measurements, which also
reveal fully gapped behavior at very low temperatures. To explain these
seemingly conflicting results, we propose a fully gapped $d+d$ band-mixing
pairing state for CeCu$_2$Si$_2$, which yields very good fits to both the
superfluid density and specific heat, as well as accounting for a sign change
of the superconducting order parameter, as previously concluded from inelastic
neutron scattering results.


title: Maximal edge-traversal time in First Passage Percolation

abstract:
  In this paper, we study the maximal edge-traversal time (simply we call
maximal weight hereafter) on the optimal paths in the first passage percolation
for several edge distributions, including the Pareto and Weibull distributions.
It is known to be unbounded when the edge distribution has unbounded support
[J. van den Berg and H. Kesten. Inequalities for the time constant in
first-passage percolation. Ann. Appl. Probab. 56-80, 1993]. We determine the
order of the growth up to a multiplicative constant.


title:
Improving fast generation of halo catalogs with higher-order Lagrangian
  perturbation theory

abstract:
  We present the latest version of Pinocchio, a code that generates catalogues
of DM haloes in an approximate but fast way with respect to an N-body
simulation. This code version extends the computation of particle and halo
displacements up to 3rd-order Lagrangian Perturbation Theory (LPT), in contrast
with previous versions that used Zeldovich approximation (ZA).
  We run Pinocchio on the same initial configuration of a reference N-body
simulation, so that the comparison extends to the object-by-object level. We
consider haloes at redshifts 0 and 1, using different LPT orders either for
halo construction - where displacements are needed to decide particle accretion
onto a halo or halo merging - or to compute halo final positions.
  We compare the clustering properties of Pinocchio haloes with those from the
simulation by computing the power spectrum and 2-point correlation function
(2PCF) in real and redshift space (monopole and quadrupole), the bispectrum and
the phase difference of halo distributions. We find that 2LPT and 3LPT give
noticeable improvement. 3LPT provides the best agreement with N-body when it is
used to displace haloes, while 2LPT gives better results for constructing
haloes. At the highest orders, linear bias is typically recovered at a few per
cent level.
  In Fourier space and using 3LPT for halo displacements, the halo power
spectrum is recovered to within 10 per cent up to $k_{max}\sim0.5\ h/$Mpc. The
results presented in this paper have interesting implications for the
generation of large ensemble of mock surveys aimed at accurately compute
covariance matrices for clustering statistics.


title: Higher derivative gravity: field equation as the equation of state

abstract:
  One of the striking features of general relativity is that the Einstein
equation is implied by the Clausius relation imposed on a small patch of
locally constructed causal horizon. Extension of this thermodynamic derivation
of the field equation to more general theories of gravity has been attempted
many times in the last two decades. In particular, equations of motion for
minimally coupled higher curvature theories of gravity, but without the
derivatives of curvature, have previously been derived using a thermodynamic
reasoning. In that derivation the horizon slices were endowed with an entropy
density whose form resembles that of the Noether charge for diffeomorphisms,
and was dubbed the Noetheresque entropy. In this paper, we propose a new
entropy density, closely related to the Noetheresque form, such that the field
equation of any diffeomorphism invariant metric theory of gravity can be
derived by imposing the Clausius relation on a small patch of local causal
horizon.


title: Multilevel model for magnetic deflagration in nanomagnet crystals

abstract:
  We extend the existing theoretical model for determining the characteristic
features of magnetic deflagration in nanomagnet crystals. For the first time,
all energy levels are accounted for calculation of the the Zeeman energy, the
deflagration velocity, and other parameters. It reduces the final temperature
and significantly changes the propagation velocity of the spin-flipping front.
We also consider the effect of a strong transverse magnetic field, and show
that the latter significantly modifies the spin-state structure, leading to an
uncertainty concerning the activation energy of the spin flipping. Our front
velocity prediction for a crystal of Mn$_{12}$-acetate in a longitudinal
magnetic field is in much better agreement with experimental data than the
previous reduced-model results.


title: Cosmology and Supergravity

abstract:
  Abdus Salam was a true master of 20th Century Theoretical Physics. Not only
was he a pioneer of the Standard Model (for which he shared the Nobel Prize
with S. Glashow and S.Weinberg), but he also (co)authored many other
outstanding contributions to the field of Fundamental Interactions and their
unification. In particular, he was a major contributor to the development of
supersymmetric theories, where he also coined the word "Supersymmetry"
(replacing the earlier "Supergauges" drawn from String Theory). He also
introduced the basic concept of "Superspace" and the notion of "Goldstone
Fermion"(Goldstino). These concepts proved instrumental for the exploration of
the ultraviolet properties and for the study of spontaneously broken phases of
super Yang-Mills theories and Supergravity. They continue to play a key role in
current developments in Early-Universe Cosmology. In this contribution we
review models of inflation based on Supergravity with spontaneously broken
local supersymmetry, with emphasis on the role of nilpotent superfields to
describe a de Sitter phase of our Universe.


title:
Compressively characterizing high-dimensional entangled states with
  complementary, random filtering

abstract:
  The resources needed to conventionally characterize a quantum system are
overwhelmingly large for high- dimensional systems. This obstacle may be
overcome by abandoning traditional cornerstones of quantum measurement, such as
general quantum states, strong projective measurement, and assumption-free
characterization. Following this reasoning, we demonstrate an efficient
technique for characterizing high-dimensional, spatial entanglement with one
set of measurements. We recover sharp distributions with local, random
filtering of the same ensemble in momentum followed by position---something the
uncertainty principle forbids for projective measurements. Exploiting the
expectation that entangled signals are highly correlated, we use fewer than
5,000 measurements to characterize a 65, 536-dimensional state. Finally, we use
entropic inequalities to witness entanglement without a density matrix. Our
method represents the sea change unfolding in quantum measurement where methods
influenced by the information theory and signal-processing communities replace
unscalable, brute-force techniques---a progression previously followed by
classical sensing.


title:
A novel discrete variational derivative method using "average-difference
  methods"

abstract:
  We consider structure-preserving methods for conservative systems, which
rigorously replicate the conservation property yielding better numerical
solutions. There, corresponding to the skew-symmetry of the differential
operator, that of difference operators is essential to the discrete
conservation law. Unfortunately, however, when we employ the standard central
difference operator, the simplest one, the numerical solutions often suffer
from undesirable spatial oscillations. In this letter, we propose a novel
"average-difference method," which is tougher against such oscillations, and
combine it with an existing conservative method. Theoretical and numerical
analysis in the linear case show the superiority of the proposed method.


title: Chromospheric heating by acoustic waves compared to radiative cooling

abstract:
  Acoustic and magnetoacoustic waves are among the possible candidate
mechanisms that heat the upper layers of solar atmosphere. A weak chromospheric
plage near a large solar pore NOAA 11005 was observed on October 15, 2008 in
the lines Fe I 617.3 nm and Ca II 853.2 nm with the Interferometric
Bidimemsional Spectrometer (IBIS) attached to the Dunn Solar Telescope.
Analyzing the Ca II observations with spatial and temporal resolutions of 0.4"
and 52 s, the energy deposited by acoustic waves is compared with that released
by radiative losses. The deposited acoustic flux is estimated from power
spectra of Doppler oscillations measured in the Ca II line core. The radiative
losses are calculated using a grid of seven 1D hydrostatic semi-empirical model
atmospheres. The comparison shows that the spatial correlation of maps of
radiative losses and acoustic flux is 72 %. In quiet chromosphere, the
contribution of acoustic energy flux to radiative losses is small, only of
about 15 %. In active areas with photospheric magnetic field strength between
300 G and 1300 G and inclination of 20-60 degrees, the contribution increases
from 23 % (chromospheric network) to 54 % (a plage). However, these values have
to be considered as lower limits and it might be possible that the acoustic
energy flux is the main contributor to the heating of bright chromospheric
network and plages.


title: The low dark matter content of the lenticular galaxy NGC 3998

abstract:
  We observed the lenticular galaxy NGC 3998 with the Mitchell Integral-Field
Spectrograph and extracted line-of-sight velocity distributions out to 3
half-light radii. We constructed collisionless orbit models in order to
constrain NGC 3998's dark and visible structure, using kinematics from both the
Mitchell and SAURON instruments. We find NGC 3998 to be almost axisymmetric,
seen nearly face on with a flattened intrinsic shape - i.e., a face-on
fast-rotator. We find an I-band mass-to-light ratio of $4.7_{-0.45}^{+0.32}$ in
good agreement with previous spectral fitting results for this galaxy. Our
best-fit orbit model shows a both a bulge and a disc component, with a
non-negligible counter-rotating component also evident. We find that relatively
little dark matter is needed to model this galaxy, with an inferred dark mass
fraction of just $(7.1^{+8.1}_{-7.1})\%$ within one half-light radius.


title: Prediction risk for the horseshoe regression

abstract:
  We show that prediction performance for global-local shrinkage regression can
overcome two major difficulties of global shrinkage regression: (i) the amount
of relative shrinkage is monotone in the singular values of the design matrix
and (ii) the shrinkage is determined by a single tuning parameter.
Specifically, we show that the horseshoe regression, with heavy-tailed
component-specific local shrinkage parameters, in conjunction with a global
parameter providing shrinkage towards zero, alleviates both these difficulties
and consequently, results in an improved risk for prediction. Numerical
demonstrations of improved prediction over competing approaches in simulations
and in a pharmacogenomics data set confirm our theoretical findings.