title:
Exact Lower Bounds for the Agnostic Probably-Approximately-Correct (PAC)
  Machine Learning Model

abstract:
  We provide an exact non-asymptotic lower bound on the minimax expected excess
risk (EER) in the agnostic probably-ap\-proximately-correct (PAC) machine
learning classification model and identify minimax learning algorithms as
certain maximally symmetric and minimally randomized "voting" procedures. Based
on this result, an exact asymptotic lower bound on the minimax EER is provided.
This bound is of the simple form $c_\infty/\sqrt{\nu}$ as $\nu\to\infty$, where
$c_\infty=0.16997\dots$ is a universal constant, $\nu=m/d$, $m$ is the size of
the training sample, and $d$ is the Vapnik--Chervonenkis dimension of the
hypothesis class. It is shown that the differences between these asymptotic and
non-asymptotic bounds, as well as the differences between these two bounds and
the maximum EER of any learning algorithms that minimize the empirical risk,
are asymptotically negligible, and all these differences are due to ties in the
mentioned "voting" procedures. A few easy to compute non-asymptotic lower
bounds on the minimax EER are also obtained, which are shown to be close to the
exact asymptotic lower bound $c_\infty/\sqrt{\nu}$ even for rather small values
of the ratio $\nu=m/d$. As an application of these results, we substantially
improve existing lower bounds on the tail probability of the excess risk. Among
the tools used are Bayes estimation and apparently new identities and
inequalities for binomial distributions.


title:
Image Restoration Using Convolutional Auto-encoders with Symmetric Skip
  Connections

abstract:
  Image restoration, including image denoising, super resolution, inpainting,
and so on, is a well-studied problem in computer vision and image processing,
as well as a test bed for low-level image modeling algorithms. In this work, we
propose a very deep fully convolutional auto-encoder network for image
restoration, which is a encoding-decoding framework with symmetric
convolutional-deconvolutional layers. In other words, the network is composed
of multiple layers of convolution and de-convolution operators, learning
end-to-end mappings from corrupted images to the original ones. The
convolutional layers capture the abstraction of image contents while
eliminating corruptions. Deconvolutional layers have the capability to upsample
the feature maps and recover the image details. To deal with the problem that
deeper networks tend to be more difficult to train, we propose to symmetrically
link convolutional and deconvolutional layers with skip-layer connections, with
which the training converges much faster and attains better results.


title: Line-of-Sight Extrapolation Noise in Dust Polarization

abstract:
  The B-modes of polarization at frequencies ranging from 50-1000 GHz are
produced by Galactic dust, lensing of primordial E-modes in the cosmic
microwave background (CMB) by intervening large scale structure, and possibly
by primordial B-modes in the CMB imprinted by gravitational waves produced
during inflation. The conventional method used to separate the dust component
of the signal is to assume that the signal at high frequencies (e.g., 350 GHz)
is due solely to dust and then extrapolate the signal down to lower frequency
(e.g., 150 GHz) using the measured scaling of the polarized dust signal
amplitude with frequency. For typical Galactic thermal dust temperatures of
about 20K, these frequencies are not fully in the Rayleigh-Jeans limit.
Therefore, deviations in the dust cloud temperatures from cloud to cloud will
lead to different scaling factors for clouds of different temperatures. Hence,
when multiple clouds of different temperatures and polarization angles
contribute to the integrated line-of-sight polarization signal, the relative
contribution of individual clouds to the integrated signal can change between
frequencies. This can cause the integrated signal to be decorrelated in both
amplitude and direction when extrapolating in frequency. Here we carry out a
Monte Carlo analysis on the impact of this line-of-sight extrapolation noise,
enabling us to quantify its effect. Using results from the Planck experiment,
we find that this effect is small, more than an order of magnitude smaller than
the current uncertainties. However, line-of-sight extrapolation noise may be a
significant source of uncertainty in future low-noise primordial B-mode
experiments. Scaling from Planck results, we find that accounting for this
uncertainty becomes potentially important when experiments are sensitive to
primordial B-mode signals with amplitude r < 0.0015 .


title: NEOWISE Reactivation Mission Year Two: Asteroid Diameters and Albedos

abstract:
  The Near-Earth Object Wide-Field Infrared Survey Explorer (NEOWISE) mission
continues to detect, track, and characterize minor planets. We present
diameters and albedos calculated from observations taken during the second year
since the spacecraft was reactivated in late 2013. These include 207 near-Earth
asteroids and 8,885 other asteroids. $84\%$ of the near-Earth asteroids did not
have previously measured diameters and albedos by the NEOWISE mission.
Comparison of sizes and albedos calculated from NEOWISE measurements with those
measured by occultations, spacecraft, and radar-derived shapes shows accuracy
consistent with previous NEOWISE publications. Diameters and albedos fall
within $ \pm \sim20\%$ and $\pm\sim40\%$, 1-sigma, respectively, of those
measured by these alternate techniques. NEOWISE continues to preferentially
discover near-Earth objects which are large ($>100$ m), and have low albedos.


title:
Comparison of Compensation Mechanism Between an NMR Gyroscope and an
  SERF Gyroscope -- Equivalence of NMR and SERF gyroscopes

abstract:
  There are two kinds of atomic vapor cell gyroscopes, one is
nuclear-magnetic-resonance (NMR) gyroscope and the other is
spin-exchange-relaxation-free (SERF) gyroscope. We demonstrate that there is a
common model for these two kinds of gyroscope. The output signals of NMR and
SERF gyroscopes are compared directly, which provides an important guidance for
the scheme choosing and optimization of atomic gyroscope. Although this expose
of the equivalence cannot solve the current problems of atomic gyroscopes, such
as the narrow response bandwidth of SERF gyroscope and the drift due to the
different Fermi-contact interaction coefficient in NMR gyroscope, it provides a
simple understanding of atomic gyroscopes and may inspire new schemes combining
advantages of both NMR and SERF gyroscopes.


title: A Fused Latent and Graphical Model for Multivariate Binary Data

abstract:
  We consider modeling, inference, and computation for analyzing multivariate
binary data. We propose a new model that consists of a low dimensional latent
variable component and a sparse graphical component. Our study is motivated by
analysis of item response data in cognitive assessment and has applications to
many disciplines where item response data are collected. Standard approaches to
item response data in cognitive assessment adopt the multidimensional item
response theory (IRT) models. However, human cognition is typically a
complicated process and thus may not be adequately described by just a few
factors. Consequently, a low-dimensional latent factor model, such as the
multidimensional IRT models, is often insufficient to capture the structure of
the data. The proposed model adds a sparse graphical component that captures
the remaining ad hoc dependence. It reduces to a multidimensional IRT model
when the graphical component becomes degenerate. Model selection and parameter
estimation are carried out simultaneously through construction of a
pseudo-likelihood function and properly chosen penalty terms. The convexity of
the pseudo-likelihood function allows us to develop an efficient algorithm,
while the penalty terms generate a low-dimensional latent component and a
sparse graphical structure. Desirable theoretical properties are established
under suitable regularity conditions. The method is applied to the revised
Eysenck's personality questionnaire, revealing its usefulness in item analysis.
Simulation results are reported that show the new method works well in
practical situations.


title: On the Habitability of Our Universe

abstract:
  Is life most likely to emerge at the present cosmic time near a star like the
Sun? We consider the habitability of the Universe throughout cosmic history,
and conservatively restrict our attention to the context of "life as we know
it" and the standard cosmological model, LCDM. The habitable cosmic epoch
started shortly after the first stars formed, about 30 Myr after the Big Bang,
and will end about 10 Tyr from now, when all stars will die. We review the
formation history of habitable planets and find that unless habitability around
low mass stars is suppressed, life is most likely to exist near 0.1 solar mass
stars ten trillion years from now. Spectroscopic searches for biosignatures in
the atmospheres of transiting Earth-mass planets around low mass stars will
determine whether present-day life is indeed premature or typical from a cosmic
perspective.

categories: astro-ph.CO astro-ph.EP astro-ph.GA hep-ph hep-th


title: Least Cost Influence Maximization Across Multiple Social Networks

abstract:
  Recently in Online Social Networks (OSNs), the Least Cost Influence (LCI)
problem has become one of the central research topics. It aims at identifying a
minimum number of seed users who can trigger a wide cascade of information
propagation. Most of existing literature investigated the LCI problem only
based on an individual network. However, nowadays users often join several OSNs
such that information could be spread across different networks simultaneously.
Therefore, in order to obtain the best set of seed users, it is crucial to
consider the role of overlapping users under this circumstances.
  In this article, we propose a unified framework to represent and analyze the
influence diffusion in multiplex networks. More specifically, we tackle the LCI
problem by mapping a set of networks into a single one via lossless and lossy
coupling schemes. The lossless coupling scheme preserves all properties of
original networks to achieve high quality solutions, while the lossy coupling
scheme offers an attractive alternative when the running time and memory
consumption are of primary concern. Various experiments conducted on both real
and synthesized datasets have validated the effectiveness of the coupling
schemes, which also provide some interesting insights into the process of
influence propagation in multiplex networks.


title:
subgraph2vec: Learning Distributed Representations of Rooted Sub-graphs
  from Large Graphs

abstract:
  In this paper, we present subgraph2vec, a novel approach for learning latent
representations of rooted subgraphs from large graphs inspired by recent
advancements in Deep Learning and Graph Kernels. These latent representations
encode semantic substructure dependencies in a continuous vector space, which
is easily exploited by statistical models for tasks such as graph
classification, clustering, link prediction and community detection.
subgraph2vec leverages on local information obtained from neighbourhoods of
nodes to learn their latent representations in an unsupervised fashion. We
demonstrate that subgraph vectors learnt by our approach could be used in
conjunction with classifiers such as CNNs, SVMs and relational data clustering
algorithms to achieve significantly superior accuracies. Also, we show that the
subgraph vectors could be used for building a deep learning variant of
Weisfeiler-Lehman graph kernel. Our experiments on several benchmark and
large-scale real-world datasets reveal that subgraph2vec achieves significant
improvements in accuracies over existing graph kernels on both supervised and
unsupervised learning tasks. Specifically, on two realworld program analysis
tasks, namely, code clone and malware detection, subgraph2vec outperforms
state-of-the-art kernels by more than 17% and 4%, respectively.


title:
Modulation of entanglement between two oscillators separated in space
  with an optical parametric amplifier

abstract:
  We propose a scheme to modulate the entanglement between two oscillators
separated in space via the squeezing cavity field generated by the optical
parametric amplifier instead of injecting the squeezing field directly with the
assistance of Coulomb interaction. We show that the Coulomb interaction between
the oscillators is the essential reason for the existence of entanglement. Due
to the gain of the optical parametric amplifier and the phase of the pump
driving the optical parametric amplifier can simultaneously modulate the
squeezing cavity field, the radiation pressure interaction between the cavity
field and the oscillator is modulated accordingly. We find that there is
competing effect between the radiation pressure interaction and the Coulomb
interaction for the oscillator which these two interactions act on
simultaneously. Therefore, the modulation of entanglement can be achieved with
the assistance of Coulomb interaction. The results of numerical simulation show
that the present scheme has stronger robustness against the temperature of
environment compared with previous schemes in experimentally feasible regimes.


title: Regularity vs. constructive complete (co)distributivity

abstract:
  It is well known that a relation $\varphi$ between sets is regular if, and
only if, $\mathcal{K}\varphi$ is completely distributive (cd), where
$\mathcal{K}\varphi$ is the complete lattice consisting of fixed points of the
Kan adjunction induced by $\varphi$. For a small quantaloid $\mathcal{Q}$, we
investigate the $\mathcal{Q}$-enriched version of this classical result, i.e.,
the regularity of $\mathcal{Q}$-distributors versus the constructive complete
distributivity (ccd) of $\mathcal{Q}$-categories, and prove that "the dual of
$\mathcal{K}\varphi$ is (ccd) $\implies$ $\varphi$ is regular $\implies$
$\mathcal{K}\varphi$ is (ccd)" for any $\mathcal{Q}$-distributor $\varphi$.
Although the converse implications do not hold in general, in the case that
$\mathcal{Q}$ is a commutative integral quantale, we show that these three
statements are equivalent for any $\varphi$ if, and only if, $\mathcal{Q}$ is a
Girard quantale.


title: Schwinger-Dyson equation for quarks in a QCD inspired model

abstract:
  We discuss formulation of QCD in Minkowski-spacetime and effect of an
operator product expansion by means of normal ordering of fields in the QCD
Lagrangian. The formulation of QCD in the Minkowski-spacetime allows us to
solve a constraint equation and decompose the gauge field propagator in the sum
of an instantaneous part, which forms a bound state, and a retarded part, which
contains the relativistic corrections. In Quantum Field Theory, for a
Lagrangian with unordered operator fields, one can make normal ordering by
means of the operator product expansion, then the gluon condensate appear. This
gives us a natural way of obtaining a dimensional parameter in QCD, which is
missing in the QCD Lagrangian. We derive a Schwinger-Dyson equation for a
quark, which is studied both numerically and analytically. The critical value
of the strong coupling constant $\alpha_s = 4/{\pi}$, above which a nontrivial
solution appears and a spontaneous chiral symmetry breaking occurs, is found.
For the sake of simplicity, the considered model describes only one flavor
massless quark, but the methods can be used in more general case. The
Fourier-sine transform of a function with log-power asymptotic was performed.


title: Carbon stars from LAMOST DR2 data

abstract:
  In this work, we present the new catalog of carbon stars from the LAMOST DR2
catalog. In total, 894 carbon stars are identified from multiple line indices
measured from the stellar spectra. Combining the CN bands in the red end with
\ctwo\ and other lines, we are able to identify the carbon stars. Moreover, we
also classify the carbon stars into spectral sub-types of \ch, \CR, and \cn.
These sub-types approximately show distinct features in the multi-dimensional
line indices, implying that in the future we can use them to identify carbon
stars from larger spectroscopic datasets. Meanwhile, from the line indices
space, while the \cn\ stars are clearly separated from the others, we find no
clear separation between \CR\ and \ch\ sub-types. The \CR\ and \ch\ stars seem
to smoothly transition from one to another. This may hint that the \CR\ and
\ch\ stars may not be different in their origins but look different in their
spectra because of different metallicity. Due to the relatively low spectral
resolution and lower signal-to-noise ratio, the ratio of $^{12}$C/$^{13}$C is
not measured and thus the \cj\ stars are not identified.


title: L2-transverse conformal Killing forms on complete foliated manifolds

abstract:
  In this article, we study the L2-transverse conformal Killing forms on
complete foliated Riemannian manifolds and prove some vanishing theorems. Also,
we study the same problems on Kahler foliations with a complete bundle-like
metric.


title:
Vanishing theorems of the basic harmonic forms on a complete foliated
  Riemannian manifold

abstract:
  On a compact foliated Riemannian manifold with some transversal curvature
conditions, there are no nontrivial basic harmonic forms (M. Min-Oo et al., J.
Reine Angew. Math. 415 (1991). In this paper, we extend the above facts to a
complete foliated Riemannian manifold.


title:
On the global existence and blowup of smooth solutions to the
  multi-dimensional compressible Euler equations with time-depending damping

abstract:
  In this paper, we are concerned with the global existence and blowup of
smooth solutions to the multi-dimensional compressible Euler equations with
time-depending damping \begin{equation*}
  \partial_t\rho+\operatorname{div}(\rho u)=0, \quad
  \partial_t(\rho u)+\operatorname{div}\left(\rho u\otimes
u+p\,I_d\right)=-\alpha(t)\rho u, \quad
  \rho(0,x)=\bar \rho+\varepsilon\rho_0(x),\quad u(0,x)=\varepsilon u_0(x),
\end{equation*} where $x=(x_1, \cdots, x_d)\in\Bbb R^d$ $(d=2,3)$, the
frictional coefficient is $\alpha(t)=\frac{\mu}{(1+t)^\lambda}$ with
$\lambda\ge0$ and $\mu>0$, $\bar\rho>0$ is a constant, $\rho_0,u_0 \in
C_0^\infty(\Bbb R^d)$, $(\rho_0,u_0)\not\equiv 0$, $\rho(0,x)>0$, and
$\varepsilon>0$ is sufficiently small. One can totally divide the range of
$\lambda\ge0$ and $\mu>0$ into the following four cases:
  Case 1: $0\le\lambda<1$, $\mu>0$ for $d=2,3$;
  Case 2: $\lambda=1$, $\mu>3-d$ for $d=2,3$;
  Case 3: $\lambda=1$, $\mu\le 3-d$ for $d=2$;
  Case 4: $\lambda>1$, $\mu>0$ for $d=2,3$.
  \noindent We show that there exists a global $C^{\infty}-$smooth solution
$(\rho, u)$ in Case 1, and Case 2 with $\operatorname{curl} u_0\equiv 0$, while
in Case 3 and Case 4, in general, the solution $(\rho, u)$ blows up in finite
time. Therefore, $\lambda=1$ and $\mu=3-d$ appear to be the critical power and
critical value, respectively, for the global existence of small amplitude
smooth solution $(\rho, u)$ in $d-$dimensional compressible Euler equations
with time-depending damping.


title:
A Time-constraint Satisfying and Cost-reducing node evaluation metric
  for Message Routing in Mobile Crowd Sensing Networks

abstract:
  In mobile crowd sensing networks data forwarding through opportunistic
contacts between participants. Data is replicated to encountered participants.
For optimizing data delivery ratio and reducing redundant data a lot of data
forwarding schemes, which selectively replicate data to encountered
participants through node's data forwarding metric are proposed. However most
of them neglect a kind of redundant data whose Time-To-Live is expired. For
reducing this kind of redundant data we proposed a new method to evaluate
node's data forwarding metric, which is used to measure the node's probability
of forwarding data to destination within data's constraint time. The method is
divided into two parts. The first is evaluating nodes whether have possibility
to contact destination within time constraint based on transient cluster. We
propose a method to detect node's transient cluster, which is based on node's
contact rate. Only node, which has possibility to contact destination, has
chances to the second step. It effectively reduces the computational
complexity. The second is calculating data forwarding probability of node to
destination according to individual ICT (inter contact time) distribution.
Evaluation results show that our proposed transient cluster detection method is
more simple and quick. And from two aspects of data delivery ratio and network
overhead our approach outperforms other existing data forwarding approach.


title: $p$-extended Mathieu series from the Schl\"omilch series point of view

abstract:
  Motivated by certain current results by Parmar and Pog\'any [9] in which the
authors introduced the so-called $p$-extended Mathieu series the main aim of
this paper is to present a connection between such series and a various types
of Schl\"omilch series.


title: Invariant curves of almost periodic twist mappings

abstract:
  In this paper we are concerned with the existence of invariant curves of
planar twist mappings which are almost periodic in a spatial variable. As an
application of this result to differential equations we will discuss the
existence of almost periodic solutions and the boundedness of all solutions for
superlinear Duffing's equation with an almost periodic external force.


title: Distributed Optimization Under Adversarial Nodes

abstract:
  We investigate the vulnerabilities of consensus-based distributed
optimization protocols to nodes that deviate from the prescribed update rule
(e.g., due to failures or adversarial attacks). We first characterize certain
fundamental limitations on the performance of any distributed optimization
algorithm in the presence of adversaries. We then propose a resilient
distributed optimization algorithm that guarantees that the non-adversarial
nodes converge to the convex hull of the minimizers of their local functions
under certain conditions on the graph topology, regardless of the actions of a
certain number of adversarial nodes. In particular, we provide sufficient
conditions on the graph topology to tolerate a bounded number of adversaries in
the neighborhood of every non-adversarial node, and necessary and sufficient
conditions to tolerate a globally bounded number of adversaries. For situations
where there are up to F adversaries in the neighborhood of every node, we use
the concept of maximal F-local sets of graphs to provide lower bounds on the
distance-to-optimality of achievable solutions under any algorithm. We show
that finding the size of such sets is NP-hard.


title:
Detailed study of SNR G306.3-0.9 using XMM-Newton and Chandra
  observations

abstract:
  We used combined data from XMM-Newton and Chandra observatories to study the
X-ray morphology of SNR G306.3-0.9. A spatially-resolved spectral analysis was
used to obtain physical and geometrical parameters of different regions of the
remnant. Spitzer infrared observations were also used to constrain the
progenitor supernova and study the environment in which the SNR evolved. The
X-ray morphology of the remnant displays a non-uniform structure of
semi-circular appearance, with a bright southwest region and very weak or
almost negligible X-ray emission in its northern part. These results indicate
that the remnant is propagating in a non-uniform environment as the shock
fronts are encountering a high-density medium, where enhanced infrared emission
is detected. The X-ray spectral analysis of the selected regions shows distinct
emission-line features of several metal elements, confirming the thermal origin
of the emission. The X-ray spectra are well represented by a combination of two
absorbed thermal plasma models: one in equilibrium ionization with a mean
temperature of ~0.19 keV, and another out of equilibrium ionization at a higher
temperature of ~1.1 or 1.6-1.9 keV. For regions located in the northeast,
central, and southwest part of the SNR, we found elevated abundances of Si, S,
Ar, Ca, and Fe, typical of ejecta material. The outer regions located northwest
and south show values of the abundances above solar but lower than to those
found in the central regions. This suggests that the composition of the
emitting outer parts of the SNR is a combination of ejecta and shocked material
of the interstellar medium. The comparison between the S/Si, Ar/Si, and Ca/Si
abundances ratios (1.75, 1.27, and 2.72 in the central region, respectively),
favor a Type Ia progenitor for this SNR, a result that is also supported by an
independent morphological analysis using X-ray and IR data.


title:
Enhancing power of rare variant association test by Zoom-Focus Algorithm
  (ZFA) to locate optimal testing region

abstract:
  Motivation: Exome or targeted sequencing data exerts analytical challenge to
test single nucleotide polymorphisms (SNPs) with extremely small minor allele
frequency (MAF). Various rare variant tests were proposed to increase power by
aggregating SNPs within a fixed genomic region, such as a gene or pathway.
However, a gene could contain from several to thousands of markers, and not all
of them may be related to the phenotype. Combining functional and
non-functional SNPs in arbitrary genomic region could impair the testing power.
Results: We propose a Zoom-Focus algorithm (ZFA) to locate the optimal testing
region within a given genomic region, as a wrapper function to be applied in
conjunction with rare variant association tests. In the first Zooming step, a
given genomic region is partitioned by order of two, and the best partition is
located within all partition levels. In the next Focusing step, boundaries of
the zoomed region are refined. Simulation studies showed that ZFA substantially
enhanced the statistical power of rare variant tests by over 10 folds,
including the WSS, SKAT and W-test. The algorithm is applied on real exome
sequencing data of hypertensive disorder, and identified biologically relevant
genetic markers to metabolic disorder that are undiscoverable by testing using
full gene. The proposed algorithm is an efficient and powerful tool to increase
the effectiveness of rare variant association tests for exome sequencing
datasets of complex disorder.


title: Predicting risky behavior in social communities

abstract:
  Predicting risk profiles of individuals in networks (e.g.~susceptibility to a
particular disease, or likelihood of smoking) is challenging for a variety of
reasons. For one, `local' features (such as an individual's demographic
information) may lack sufficient information to make informative predictions;
this is especially problematic when predicting `risk,' as the relevant features
may be precisely those that an individual is disinclined to reveal in a survey.
Secondly, even if such features are available, they still may miss crucial
information, as `risk' may be a function not just of an individual's features
but also those of their friends and social communities. Here, we predict
individual's risk profiles as a function of both their local features and those
of their friends. Instead of modeling influence from the social network
directly (which proved difficult as friendship links may be sparse and
partially observed), we instead model influence by discovering social
communities in the network that may be related to risky behavior. The result is
a model that predicts risk as a function of local features, while making up for
their deficiencies and accounting for social influence by uncovering community
structure in the network. We test our model by predicting risky behavior among
adolescents from the Add health data set, and hometowns among users in a
Facebook ego net. Compared to prediction by features alone, our model
demonstrates better predictive accuracy when measured as a whole, and in
particular when measured as a function of network "richness."


title: A Note on Schnyder's Theorem

abstract:
  We give an alternate proof of Schnyder's Theorem, that the incidence poset of
a graph $G$ has dimension at most three if and only if $G$ is planar.


title: On the index conjecture in zero-sum theory: singular case

abstract:
  Let $S=(a_1)\cdots(a_k)$ be a minimal zero-sum sequence over a finite cyclic
group $G$. The index conjecture states that if $k=4$ and $\gcd(|G|,6)=1$, then
$S$ has index $1$. In this paper we prove that if $S$ is singular then the
index of $S$ is $1$.


title:
Magnetic Dirac Fermions and Chern Insulator Supported on Pristine
  Silicon Surface

abstract:
  Emergence of ferromagnetism in non-magnetic semiconductors is strongly
desirable, especially in topological materials thanks to the possibility to
achieve quantum anomalous Hall effect. Based on first-principles calculations,
we propose that for Si thin film grown on metal substrate, the pristine
Si(111)-root3xroot3 surface with a spontaneous weak reconstruction has a strong
tendency of ferromagnetism and nontrivial topological properties, characterized
by spin polarized Dirac-fermion surface states. In contrast to conventional
routes relying on introduction of alien charge carriers or specially patterned
substrates, the spontaneous magnetic order and spin-orbit coupling on the
pristine silicon surface together gives rise to quantized anomalous Hall effect
with a finite Chern number C=-1. This work suggests exciting opportunities in
silicon-based spintronics and quantum computing free from alien dopants or
proximity effects.


title:
Enhancement of entanglement in distant micromechanical mirrors using
  parametric interactions

abstract:
  We theoretically investigate the stability of a two cascaded cavity
optomechanical system with optical parametric amplifiers (OPAs) inside the two
coupled cavities, and study the steady-state entanglement between two distant
mechanical resonators. We show that the parameter regime where the system is
unstable without OPAs, such as relatively high laser intensity and blue
detuning, can be exploited to build the steady-state mechanical entanglement by
modulating the parametric gain. The application of OPAs is helpful to preserve
the mechanical entanglement suffered from the dissipation at some finite
temperature. The scheme provides an alternative way for improving and
engineering the quantum entanglement of two distant mechanical oscillators.


title:
Molecular dynamics simulations of the lattice thermal conductivity of
  CuInTe2

abstract:
  The lattice thermal conductivity of thermoelectric material CuInTe2 is
predicted using classical molecular dynamics simulations, where a simple but
effective Morse-type interatomic potential is constructed by fitting
first-principles total energy calculations. In a broad temperature range from
300 to 900 K, our simulated results agree well with those measured
experimentally, as well as those obtained from phonon Boltzmann transport
equation. By introducing the Cd impurity and Cu vacancy, the thermal
conductivity of CuInTe2 can be effectively reduced to further enhance the
thermoelectric performance of this chalcopyrite compound.


title: PRESAGE: Protecting Structured Address Generation against Soft Errors

abstract:
  Modern computer scaling trends in pursuit of larger component counts and
power efficiency have, unfortunately, lead to less reliable hardware and
consequently soft errors escaping into application data ("silent data
corruptions"). Techniques to enhance system resilience hinge on the
availability of efficient error detectors that have high detection rates, low
false positive rates, and lower computational overhead. Unfortunately,
efficient detectors to detect faults during address generation (to index large
arrays) have not been widely researched. We present a novel lightweight
compiler-driven technique called PRESAGE for detecting bit-flips affecting
structured address computations. A key insight underlying PRESAGE is that any
address computation scheme that flows an already incurred error is better than
a scheme that corrupts one particular array access but otherwise (falsely)
appears to compute perfectly. Enabling the flow of errors allows one to situate
detectors at loop exit points, and helps turn silent corruptions into easily
detectable error situations. Our experiments using PolyBench benchmark suite
indicate that PRESAGE-based error detectors have a high error-detection rate
while incurring low overheads.


title: Scalar Curvature and Intrinsic Flat Convergence

abstract:
  Herein we present open problems and survey examples and theorems concerning
sequences of Riemannian manifolds with uniform lower bounds on scalar curvature
and their limit spaces. Examples of Gromov and of Ilmanen which naturally ought
to have certain limit spaces do not converge with respect to smooth or
Gromov-Hausdorff convergence. Thus we focus here on the notion of Intrinsic
Flat convergence, developed jointly with Wenger. This notion has been applied
successfully to study sequences that arise in General Relativity. Gromov has
suggested it should be applied in other settings as well. We first review
intrinsic flat convergence, its properties, and its compactness theorems,
before presenting the applications and the open problems.


title:
Cross-layer design for downlink multi-hop cloud radio access networks
  with network coding

abstract:
  There are two fundamentally different fronthaul techniques in the downlink
communication of cloud radio access network (C-RAN): the data-sharing strategy
and the compression-based strategy. Under the former strategy, each user's
message is multicast from the central processor (CP) to all the serving remote
radio heads (RRHs) over the fronthaul network, which then cooperatively serve
the users through joint beamforming; while under the latter strategy, the user
messages are first beamformed then quantized at the CP, and the compressed
signal is unicast to the corresponding RRH, which then decompresses its
received signal for wireless transmission. Previous works show that in general
the compression-based strategy outperforms the data-sharing strategy. This
paper, on the other hand, point s out that in a C-RAN model where the RRHs are
connected to the CP via multi-hop routers, data-sharing can be superior to
compression if the network coding technique is adopted for multicasting user
messages to the cooperating RRHs, and the RRH's beamforming vectors, the
user-RRH association, and the network coding design over the fronthaul network
are jointly optimized based on the techniques of sparse optimization an d
successive convex approximation. This is in comparison to the compression-based
strategy, where information is unicast over the fronthaul network by simple
routing, and the RRH's compression noise covariance and beamforming vectors, as
well as the routing strategy over the fronthaul network are jointly optimized
based on the successive convex approximation technique. The observed gain in
overall network throughput is due to that information multicast is more
efficient than information unicast over the multi-hop fronthaul of a C-RAN.


title:
Aggregation-based cutting-planes for packing and covering integer
  programs

abstract:
  In this paper, we study the strength of Chvatal-Gomory (CG) cuts and more
generally aggregation cuts for packing and covering integer programs (IPs).
Aggregation cuts are obtained as follows: Given an IP formulation, we first
generate a single implied inequality using aggregation of the original
constraints, then obtain the integer hull of the set defined by this single
inequality with variable bounds, and finally use the inequalities describing
the integer hull as cutting-planes. Our first main result is to show that for
packing and covering IPs, the CG and aggregation closures can be 2-approximated
by simply generating the respective closures for each of the original
formulation constraints, without using any aggregations. On the other hand, we
use computational experiments to show that aggregation cuts can be arbitrarily
stronger than cuts from individual constraints for general IPs. The proof of
the above stated results for the case of covering IPs with bounds require the
development of some new structural results, which may be of independent
interest. Finally, we examine the strength of cuts based on k different
aggregation inequalities simultaneously, the so-called multi-row cuts, and show
that every packing or covering IP with a large integrality gap also has a large
k-aggregation closure rank. In particular, this rank is always at least of the
order of the logarithm of the integrality gap.


title: Several Classes of Negabent Functions over Finite Fields

abstract:
  Negabent functions as a class of generalized bent functions have attracted a
lot of attention recently due to their applications in cryptography and coding
theory. In this paper, we consider the constructions of negabent functions over
finite fields. First, by using the compositional inverses of certain binomial
and trinomial permutations, we present several classes of negabent functions of
the form $f(x)=\Tr_1^n(\lambda x^{2^k+1})+\Tr_1^n(ux)\Tr_1^n(vx)$, where
$\lambda\in \F_{2^n}$, $2\leq k\leq n-1$, $(u,v)\in \F^*_{2^n}\times
\F^*_{2^n}$, and $\Tr_1^n(\cdot)$ is the trace function from $\F_{2^n}$ to
$\F_{2}$. Second, by using Kloosterman sum, we prove that the condition for the
cubic monomials given by Zhou and Qu (Cryptogr. Commun., to appear, DOI
10.1007/s12095-015-0167-0.) to be negabent is also necessary. In addition, a
conjecture on negabent monomials whose exponents are of Niho type is given.


title: TASI lectures on quantum matter (with a view toward holographic duality)

abstract:
  These are notes from my lectures at TASI 2015. The goal is to provide context
for the study of strongly-correlated quantum many-body systems using quantum
field theory, and possibly string theory.


title: Greedy, Joint Syntactic-Semantic Parsing with Stack LSTMs

abstract:
  We present a transition-based parser that jointly produces syntactic and
semantic dependencies. It learns a representation of the entire algorithm
state, using stack long short-term memories. Our greedy inference algorithm has
linear time, including feature extraction. On the CoNLL 2008--9 English shared
tasks, we obtain the best published parsing performance among models that
jointly learn syntax and semantics.


title: Leveraging Contextual Cues for Generating Basketball Highlights

abstract:
  The massive growth of sports videos has resulted in a need for automatic
generation of sports highlights that are comparable in quality to the
hand-edited highlights produced by broadcasters such as ESPN. Unlike previous
works that mostly use audio-visual cues derived from the video, we propose an
approach that additionally leverages contextual cues derived from the
environment that the game is being played in. The contextual cues provide
information about the excitement levels in the game, which can be ranked and
selected to automatically produce high-quality basketball highlights. We
introduce a new dataset of 25 NCAA games along with their play-by-play stats
and the ground-truth excitement data for each basket. We explore the
informativeness of five different cues derived from the video and from the
environment through user studies. Our experiments show that for our study
participants, the highlights produced by our system are comparable to the ones
produced by ESPN for the same games.


title:
Multiplicity and Pseudorapidity distributions of charged particles in
  asymmetric and deformed nuclear collisions in a Wounded Quark Model

abstract:
  The charged particle multiplicity ($n_{ch}$) and pseudorapidity density
$(dn_{ch}/d\eta)$ are key observables to characterize the properties of matter
created in heavy ion collisions. The dependence of these observables on
collision energy and the collision geometry are a key tool to understand the
underlying particle production mechanism. Recently a lot of focus has been made
on asymmetric and deformed nuclei collisions since these collisions can provide
a deeper understanding about the nature of quantum chromodynamics (QCD). On
phenomenological perspective a unified model which describes the experimental
data coming from various kind of collision experiments, is much needed to
provide the physical insights about the production mechanism. In this paper, we
have calculated the charged hadron multiplicities for nucleon-nucleus (such as
proton-lead $(p-Pb)$ and asymmetric nuclei collisions like deutron-gold
$(d-Au)$, and copper-gold $(Cu-Au)$ within a new version of wounded quark model
(WQM) and shown their variation with respect to centrality. Further we have
used a suitable density function within our WQM to calculate pseudorapidity
density of charged hadrons at mid-rapidity in the collisions of deformed
uranium nuclei. We found that our model with suitable density functions
describes the experimental data for symmetric, asymmetric and deformed nuclei
collisions simultaneously over a wide range of collision energy.


title:
Alternating Estimation for Structured High-Dimensional Multi-Response
  Models

abstract:
  We consider learning high-dimensional multi-response linear models with
structured parameters. By exploiting the noise correlations among responses, we
propose an alternating estimation (AltEst) procedure to estimate the model
parameters based on the generalized Dantzig selector. Under suitable sample
size and resampling assumptions, we show that the error of the estimates
generated by AltEst, with high probability, converges linearly to certain
minimum achievable level, which can be tersely expressed by a few geometric
measures, such as Gaussian width of sets related to the parameter structure. To
the best of our knowledge, this is the first non-asymptotic statistical
guarantee for such AltEst-type algorithm applied to estimation problem with
general structures.


title: On Yau's uniformization conjecture

abstract:
  Let $M^n$ be a complete noncompact K\"ahler manifold with nonnegative
bisectional curvature and maximal volume growth, we prove that $M$ is
biholomorphic to $\mathbb{C}^n$. This confirms Yau's uniformization conjecture
when M has maximal volume growth.


title: First order density wave like transitions in surface doped Na$_2$IrO$_3$

abstract:
  We demonstrate that the surface of the honeycomb lattice iridate
Na$_2$IrO$_3$ is extremely tunable by plasma etching. We have succeeded in
turning the surface of Na$_2$IrO$_3$ metallic by Ar plasma etching which leads
to the removal of Na from the surface. The surface structure does not change in
this process as revealed by grazing incidence small angle x-ray scattering
(GISAXS). The sheet resistance $R_s$ can be reduced by several orders of
magnitude by varying the etching duration. Temperature dependent $R_s(T)$ for
the metallic samples show signatures of spin or charge density wave transitions
with abrupt changes in $R_s$. Thermal hysteresis between cooling and warming
measurements across the transition indicates a first order transition. For the
most metallic sample $R_s(T)$ data at low temperatures follow a $T^2$ behaviour
suggesting normal Fermi liquid behaviour.


title:
Accurate Quotient-Difference algorithm: error analysis, improvements and
  applications

abstract:
  The compensated quotient-difference (Compqd) algorithm is proposed along with
some applications. The main motivation is based on the fact that the standard
quotient-difference (qd) algorithm can be numerically unstable. The Compqd
algorithm is obtained by applying error-free transformations to improve the
traditional qd algorithm. We study in detail the error analysis of the qd and
Compqd algorithms and we introduce new condition numbers so that the relative
forward rounding error bounds can be derived directly. Our numerical
experiments illustrate that the Compqd algorithm is much more accurate than the
qd algorithm, relegating the influence of the condition numbers up to second
order in the rounding unit of the computer. Three applications of the new
algorithm in the obtention of continued fractions and in pole and zero
detection are shown.


title:
Functions of triples of noncommuting self-adjoint operators and their
  perturbations

abstract:
  In this paper we study properties of functions of triples of not necessarily
commuting self-adjoint operators. The main result of the paper shows that
unlike in the case of functions of pairs of self-adjoint operators there is no
Lipschitz type estimates in the trace norm for arbitrary functions in the Besov
class $B_{\infty,1}^1({\Bbb R}^3)$.


title:
Evaluation and selection of Medical Tourism sites: A rough AHP based
  MABAC approach

abstract:
  In this paper, a novel multiple criteria decision making (MCDM) methodology
is presented for assessing and prioritizing medical tourism destinations in
uncertain environment. A systematic evaluation and assessment method is
proposed by integrating rough number based AHP (Analytic Hierarchy Process) and
rough number based MABAC (Multi-Attributive Border Approximation area
Comparison). Rough number is used to aggregate individual judgments and
preferences to deal with vagueness in decision making due to limited data.
Rough AHP analyzes the relative importance of criteria based on their
preferences given by experts. Rough MABAC evaluates the alternative sites based
on the criteria weights. The proposed methodology is explained through a case
study considering different cities for healthcare service in India. The
validity of the obtained ranking for the given decision making problem is
established by testing criteria proposed by Wang and Triantaphyllou (2008)
along with further analysis and discussion.


title:
Non-linear Label Ranking for Large-scale Prediction of Long-Term User
  Interests

abstract:
  We consider the problem of personalization of online services from the
viewpoint of ad targeting, where we seek to find the best ad categories to be
shown to each user, resulting in improved user experience and increased
advertisers' revenue. We propose to address this problem as a task of ranking
the ad categories depending on a user's preference, and introduce a novel label
ranking approach capable of efficiently learning non-linear, highly accurate
models in large-scale settings. Experiments on a real-world advertising data
set with more than 3.2 million users show that the proposed algorithm
outperforms the existing solutions in terms of both rank loss and top-K
retrieval performance, strongly suggesting the benefit of using the proposed
model on large-scale ranking problems.


title: Interacting ultracold atomic kicked rotors: dynamical localization ?

abstract:
  We study the fate of dynamical localization of two quantum kicked rotors with
contact interaction. This interaction mimics experimental realizations with
ultracold atomic gases. Dynamical localization for a single rotor takes place
in momentum space. The contact interaction affects the evolution of the
relative momentum $k$ of a pair of interacting rotors in a non-analytic way.
Consequently the evolution operator $U$ is exciting large relative momenta with
amplitudes which decay only as a power law $1/k^4$. This is in contrast to the
center-of-mass momentum $K$ for which the amplitudes excited by $U$ decay
superexponentially fast. Therefore dynamical localization is preserved for the
center-of-mass momentum, but destroyed for the relative momentum for any
nonzero strength of interaction.


title:
Credibilistic TOPSIS Model for Evaluation and Selection of Municipal
  Solid Waste Disposal Methods

abstract:
  Municipal solid waste management (MSWM) is a challenging issue of urban
development in developing countries. Each country having different
socio-economic-environmental background, might not accept a particular disposal
method as the optimal choice. Selection of suitable disposal method in MSWM,
under vague and imprecise information can be considered as multi criteria
decision making problem (MCDM). In the present paper, TOPSIS (Technique for
Order Preference by Similarity to Ideal Solution) methodology is extended based
on credibility theory for evaluating the performances of MSW disposal methods
under some criteria fixed by experts. The proposed model helps decision makers
to choose a preferable alternative for their municipal area. A sensitivity
analysis by our proposed model confirms this fact.


title:
Quantum optical metrology in the lossy $SU(2)$ and $SU(1,1)$
  interferometers

abstract:
  We study the phase sensitivity in the conventional $SU(2)$ and
nonconventional $SU(1,1)$ interferometers with the coherent and squeezed vacuum
input state via the quantum Cramer-Rao bound. We explicitly construct the
detection scheme that gives the optimal phase sensitivity. For practical
purposes, we show that in the presence of photon loss, both interferometers
with proper homodyne detections, are nearly optimal. We also find that unlike
the coherent state and squeezed vacuum state, the effects of the imperfect
detector on the phase sensitivity cannot be asymptotically removed for a
generic coherent-squeezed state by increasing the amplifier gain of the OPA.


title: Le th\'eor\`eme des accroissements finis comme question curriculaire

abstract:
  Beyond the difficulty to give true practical motives to introduce a theorem,
the didactic transposition of scholarly knowledge in a school setting often
leads to freezing a technical tool into a theorem given under minimal
assumptions. Probably whole categories of exercises have no other justification
than establishing the necessity of introducing a theorem under minimal
assumptions in a curriculum. The mean value theorem represents a paradigmatic
situation, showing not only the expectations of the curriculum writers, but
also part of the school unconscious that manifests itself in the very notion of
rigor.


title: A Knowledge-Based Resource Discovery for Internet of Things

abstract:
  In the sensing as a service paradigm, Internet of Things (IoT) Middleware
platforms allow data consumers to retrieve the data they want without knowing
the underlying technical details of IoT resources (i.e. sensors and data
processing components). However, configuring an IoT middleware platform and
retrieving data is a significant challenge for data consumers as it requires
both technical knowledge and domain expertise. In this paper, we propose a
knowledge driven approach called Context Aware Sensor Configuration Model
(CASCOM) to simplify the process of configuring IoT middleware platforms, so
the data consumers, specifically non-technical personnel, can easily retrieve
the data they required. In this paper, we demonstrate how IoT resources can be
described using semantics in such away that they can later be used to compose
service work-flows. Such automated semantic-knowledge based IoT resource
composition approach advances the current research. We demonstrate the
feasibility and the usability of our approach through a prototype
implementation based on an IoT middleware called Global Sensor Networks (GSN),
though our model can be generalized to any other middleware platform.


title:
Energy saving mechanisms, collective behavior and the variation range
  hypothesis in biological systems: A review

abstract:
  Energy saving mechanisms are ubiquitous in nature. Aerodynamic and
hydrodynamic drafting, vortice uplift, Bernoulli suction, thermoregulatory
coupling, path following, physical hooks, synchronization, and cooperation are
only some of the better-known examples. While drafting mechanisms also appear
in non-biological systems such as sedimentation and particle vortices, the
broad spectrum of these mechanisms appears more diversely in biological systems
including bacteria, spermatozoa, various aquatic species, birds, land animals,
semi-fluid dwellers like turtle hatchlings, as well as human systems. We
present the thermodynamic framework for energy saving mechanisms, and we review
evidence in favor of the variation range hypothesis. This hypothesis posits
that, as an evolutionary process, the variation range between strongest and
weakest group members converges on the equivalent energy saving quantity that
is generated by the energy saving mechanism. We also review self-organized
structures that emerge due to energy saving mechanisms, including convective
processes that can be observed in many systems over both short and long time
scales, as well as high collective output processes in which a form of
collective position locking occurs.


title: The rotating normal form of braids is regular

abstract:
  Defined on Birman-Ko-Lee monoids, the rotating normal form has strong
connections with the Dehornoy's braid ordering. It can be seen as a process for
selecting between all the representative words of a Birman-Ko-Lee braid a
particular one, called rotating word. In this paper we construct, for all n 2,
a finite-state automaton which recognizes rotating words on n strands, proving
that the rotating normal form is regular. As a consequence we obtain the
regularity of a $\sigma$-definite normal form defined on the whole braid group.


title:
Joint Millimeter Wave and Microwave Resources Allocation in Cellular
  Networks with Dual-Mode Base Stations

abstract:
  In this paper, a novel dual-mode scheduling framework is proposed that
jointly performs user applications (UA) selection and scheduling over microwave
($\mu$W) and millimeter wave (mmW) bands. The proposed scheduling framework
utilizes a set of context information, including the channel state information,
the delay tolerance and required load per UA, and the uncertainty of mmW
channels, to maximize the quality-of-service (QoS) per UA. The scheduling
problem is formulated as an optimization with minimum unsatisfied relations
(min-UR) problem which is shown to be challenging to solve. Consequently, a
long-term scheduling framework, consisting of two stages, is proposed. Within
this framework, first, the scheduling over $\mu$W band is formulated as a
matching game and to solve this problem, a novel algorithm is proposed and
shown to yield a two-sided stable resource allocation. Second, over the mmW
band, the scheduling problem is formulated as a 0-1 Knapsack problem and a
novel algorithm is proposed to solve it. Furthermore, it is shown that the
proposed framework can find an effective scheduling solution, over both $\mu$W
and mmW, in polynomial time. Simulation results show that, compared with
conventional scheduling schemes, the proposed approach significantly increases
the number of satisfied UAs and enhances the users' quality-of-experience.


title: The Generalised Colouring Numbers on Classes of Bounded Expansion

abstract:
  The generalised colouring numbers $\mathrm{adm}_r(G)$, $\mathrm{col}_r(G)$,
and $\mathrm{wcol}_r(G)$ were introduced by Kierstead and Yang as
generalisations of the usual colouring number, also known as the degeneracy of
a graph, and have since then found important applications in the theory of
bounded expansion and nowhere dense classes of graphs, introduced by
Ne\v{s}et\v{r}il and Ossona de Mendez. In this paper, we study the relation of
the colouring numbers with two other measures that characterise nowhere dense
classes of graphs, namely with uniform quasi-wideness, studied first by Dawar
et al. in the context of preservation theorems for first-order logic, and with
the splitter game, introduced by Grohe et al. We show that every graph
excluding a fixed topological minor admits a universal order, that is, one
order witnessing that the colouring numbers are small for every value of $r$.
Finally, we use our construction of such orders to give a new proof of a result
of Eickmeyer and Kawarabayashi, showing that the model-checking problem for
successor-invariant first-order formulas is fixed-parameter tractable on
classes of graphs with excluded topological minors.


title: Capacity Analysis of Discrete Energy Harvesting Channels

abstract:
  We study the channel capacity of a general discrete energy harvesting channel
with a finite battery. Contrary to traditional communication systems, the
transmitter of such a channel is powered by a device that harvests energy from
a random exogenous energy source and has a finite-sized battery. As a
consequence, at each transmission opportunity the system can only transmit a
symbol whose energy is no more than the energy currently available. This new
type of power supply introduces an unprecedented input constraint for the
channel, which is simultaneously random, instantaneous, and influenced by the
full history of the inputs and the energy harvesting process. Furthermore,
naturally, in such a channel the energy information is observed causally at the
transmitter. Both of these characteristics pose great challenges for the
analysis of the channel capacity. In this work we use techniques developed for
channels with side information and finite state channels, to obtain lower and
upper bounds on the capacity of energy harvesting channels. In particular, in a
general case with Markov energy harvesting processes we use stationarity and
ergodicity theory to compute and optimize the achievable rates for the
channels, and derive series of computable capacity upper and lower bounds.


title: The Mean/Max Statistic in Extreme Value Analysis

abstract:
  Most extreme events in real life can be faithfully modeled as random
realizations from a Generalized Pareto distribution, which depends on two
parameters: the scale and the shape. In many actual situations, one is mostly
concerned with the shape parameter, also called tail index, as it contains the
main information on the likelihood of extreme events. In this paper, we show
that the mean/max statistic, that is the empirical mean divided by the maximal
value of the sample, constitutes an ideal normalization to study the tail index
independently of the scale. This statistic appears naturally when trying to
distinguish between uniform and exponential distributions, the two transitional
phases of the Generalized Pareto model. We propose a simple methodology based
on the mean/max statistic to detect, classify and infer on the tail of the
distribution of a sample. Applications to seismic events and detection of
saturation in experimental measurements are presented.


title:
Kinetics of local $"$magnetic$"$ moment and non-stationary
  spin-polarized current in the single impurity Anderson-model

abstract:
  We perform theoretical investigation of the localized state dynamics in the
presence of interaction with the reservoir and Coulomb correlations. We analyze
kinetic equations for electron occupation numbers with different spins taking
into account high order correlation functions for the localized electrons. We
reveal that in the stationary state electron occupation numbers with the
opposite spins always have the same value - the stationary state is a
$"$paramagnetic$"$ one. $"$Magnetic$"$ properties can appear only in the
non-stationary characteristics of the single-impurity Anderson model and in the
dynamics of the localized electrons second order correlation functions. We
found, that for deep energy levels and strong Coulomb correlations, relaxation
time for initial $"$magnetic$"$ state can be several orders larger than for
$"$paramagnetic$"$ one. So, long-living $"$magnetic$"$ moment can exist in the
system. We also found non-stationary spin polarized currents flowing in
opposite directions for the different spins in the particular time interval.


title: Illumination of convex bodies with many symmetries

abstract:
  Let $n\geq C$ for a large universal constant $C>0$, and let $B$ be a convex
body in $R^n$ such that for any $(x_1,x_2,\dots,x_n)\in B$, any choice of signs
$\varepsilon_1,\varepsilon_2,\dots,\varepsilon_n\in\{-1,1\}$ and for any
permutation $\sigma$ on $n$ elements we have
$(\varepsilon_1x_{\sigma(1)},\varepsilon_2x_{\sigma(2)},\dots,\varepsilon_nx_{\sigma(n)})\in
B$. We show that if $B$ is not a cube then $B$ can be illuminated by strictly
less than $2^n$ sources of light. This confirms the Hadwiger--Gohberg--Markus
illumination conjecture for unit balls of $1$-symmetric norms in $R^n$ for all
sufficiently large $n$.


title:
Fermi surface and effective masses in photoemission response of the
  (Ba$_{1-x}$K$_x$)Fe$_2$As$_2$ superconductor

abstract:
  The angle-resolved photoemission spectra of the superconductor
(Ba$_{1-x}$K$_x$)Fe$_2$As$_2$ have been investigated both experimentally and
theoretically. Our results explain the previously obscured origins of all
salient features of the ARPES response of this paradigm pnictide compound and
reveal the origin of the Lifshitz transition. Comparison of calculated ARPES
spectra with the underlying DMFT band structure shows an important impact of
final state effects, which results for three-dimensional states in a deviation
of the ARPES spectra from the true spectral function. In particular, the
apparent effective mass enhancement seen in the ARPES response is not an
entirely intrinsic property of the quasiparticle valence bands but may have a
significant extrinsic contribution from the photoemission process and thus
differ from its true value. Because this effect is more pronounced for low
photoexcitation energies, soft-X-ray ARPES delivers more accurate values of the
mass enhancement due to a sharp definition of the 3D electron momentum.


title: Non-failable approximation method for conditioned distributions

abstract:
  We consider a general method for the approximation of the distribution of a
process conditioned to not hit a given set. Existing methods are based on
particle system that are failable, in the sense that, in many situations , they
are not well defined after a given random time. We present a method based on a
new particle system which is always well define. Moreover , we provide
sufficient conditions ensuring that the particle method converges uniformly in
time. We also show that this method provides an approximation method for the
quasi-stationary distribution of Markov processes. Our results are illustrated
by their application to a neutron transport model.


title:
Reverse orbifold construction and uniqueness of holomorphic vertex
  operator algebras

abstract:
  In this article, we develop a general technique for proving the uniqueness of
holomorphic vertex operator algebras based on the orbifold construction and its
"reverse" process. As an application, we prove that the structure of a strongly
regular holomorphic vertex operator algebra of central charge $24$ is uniquely
determined by its weight one Lie algebra if the Lie algebra has the type
$E_{6,3}G_{2,1}^3$, $A_{2,3}^6$ or $A_{5,3}D_{4,3}A_{1,1}^3$.


title: GR-GSG Hybrid Gravity

abstract:
  We propose a model of gravity in which a General Relativity metric tensor and
an effective metric generated from a single scalar formulated in Geometric
Scalar Gravity are mixed. We show that the model yields the exact Schwarzschild
solution, along with accelerating behavior of scale factors in cosmological
solutions.


title: Construction of Continuous Frames in Hilbert spaces

abstract:
  Extending the concept of frame to continuous frame, in this manuscript we
will show that under certain conditions on the measure of $\Omega$ and the
dimension of $\h$ we can construct continuous frames. Also, some examples are
given.


title:
Dressed elliptic genus of heterotic compactifications with torsion and
  general bundles

abstract:
  We define and compute the dressed elliptic genus of N = 2 heterotic
compactifications with torsion that are principal two-torus bundles over a K3
surface. We consider the most general gauge bundle compatible with
supersymmetry, a stable holomorphic vector bundle over the base together with
an Abelian bundle over the total space, generalizing the computation previously
done by the authors in the absence of the latter. Starting from a (0,2) gauged
linear sigma-model with torsion we use supersymmetric localization to obtain
the result. We provide also a mathematical definition of the dressed elliptic
genus as a modified Euler characteristic and prove that both expressions agree
for hypersurfaces in weighted projective spaces. Finally we show that it admits
a natural decomposition in terms of N = 4 superconformal characters, that may
be useful to investigate moonshine phenomena for this wide class of N = 2
vacua, that includes K3*T2 compactifications as special cases.


title:
Disentangling star formation and AGN activity in powerful infrared
  luminous radio galaxies at 1<z<4

abstract:
  High-redshift radio galaxies present signs of both star formation and AGN
activity, making them ideal candidates to investigate the connection and
coevolution of AGN and star formation in the progenitors of present-day massive
galaxies. We make use of a sample of 11 powerful radio galaxies spanning 1<z<4
which have complete coverage of their spectral energy distribution (SED) from
UV to FIR wavelengths. Using Herschel data, we disentangle the relative
contribution of the AGN and star formation by combining the
galaxyevolutioncodePEGASE.3 with an AGN torus model. We find that three
components are necessary to reproduce the observed SEDs: an evolved and massive
stellar component, a submm bright young starburst, and an AGN torus. We find
that powerful radio galaxies form at very high-redshift, but experience
episodic and important growth at 1<z<4 as the mass of the associated starburst
varies from 5 to 50% of the total mass of the system. The properties of star
formation differ from source to source, indicating no general trend of the star
formation properties in the most infrared luminous high-redshift radio galaxies
and no correlation with the AGN bolometric luminosity. Moreover, we find that
AGN scattered light have a very limited impact on broad-band SED fitting on our
sample. Finally, our analysis also suggests a wide range in origins for the
observed star formation,which we partially constrain for some sources.


title:
Optimal Consumption, Investment and Housing with Means-tested Public
  Pension in Retirement

abstract:
  In this paper, we develop an expected utility model for the retirement
behavior in the decumulation phase of Australian retirees with sequential
family status subject to consumption, housing, investment, bequest and
government provided means-tested Age Pension. We account for mortality risk and
risky investment assets, and introduce a health proxy to capture the decreasing
level of consumption for older retirees. Then we find optimal housing at
retirement, and optimal consumption and optimal risky asset allocation
depending on age and wealth. The model is solved numerically as a stochastic
control problem, and is calibrated using the maximum likelihood method on
empirical data of consumption and housing from the Australian Bureau of
Statistics 2009-2010 Survey. The model fits the characteristics of the data
well to explain the behavior of Australian retirees. The key findings are the
following: First, the optimal policy is highly sensitive to means-tested Age
Pension early in retirement but this sensitivity fades with age. Secondly, the
allocation to risky assets shows a complex relationship with the means-tested
Age Pension that disappears once minimum withdrawal rules are enforced. As a
general rule, when wealth decreases the proportion allocated to risky assets
increases, due to the Age Pension working as a buffer against investment
losses. Finally, couples can be more aggressive with risky allocations due to
their longer life expectancy compared with singles.


title: Inverse nodal problems for Dirac-type integro-differential operators

abstract:
  The inverse nodal problem for Dirac differential operator perturbated by a
Volterra integral operator is studied. We prove that dense subset of the nodal
points determines the coefficients of differential and integral part of the
operator. We also provide a uniqueness theorem and an algorithm to reconstruct
the coefficients of the problem by using the nodal points.


title: On the multiplicative chaos of non-Gaussian log-correlated fields

abstract:
  We study non-Gaussian log-correlated multiplicative chaos, where the random
field is defined as a sum of independent fields that satisfy suitable moment
and regularity conditions. The convergence, existence of moments and
analyticity with respect to the inverse temperature are proven for the
resulting chaos in the full subcritical range. These results are
generalizations of the corresponding theorems for Gaussian multiplicative
chaos. A basic example where our results apply is the non-Gaussian Fourier
series
  \[\sum_{k=1}^\infty \frac{1}{\sqrt{k}}(A_k \cos(2\pi k x) + B_k \sin(2\pi k
x)),\] where $A_k$ and $B_k$ are i.i.d. random variables.


title: Note on rational 1-dimensional compact cycles

abstract:
  We give a proof of the fact tha the subset of the rational curves form a
closed analytic subset in the space of the 1-dimensional cycles of a complex
space.


title:
Primal-Dual Method for Searching Equilibrium in Hierarchical Congestion
  Population Games

abstract:
  In this paper, we consider a large class of hierarchical congestion
population games. One can show that the equilibrium in a game of such type can
be described as a minimum point in a properly constructed multi-level convex
optimization problem. We propose a fast primal-dual composite gradient method
and apply it to the problem, which is dual to the problem describing the
equilibrium in the considered class of games. We prove that this method allows
to find an approximate solution of the initial problem without increasing the
complexity.


title:
Environmental Quenching and Galactic Conformity in the Galaxy
  Cross-Correlation Signal

abstract:
  It has long been known that environment has a large effect on star formation
in galaxies. There are several known plausible mechanisms to remove the cool
gas needed for star formation, such as strangulation, harassment and
ram-pressure stripping.It is unclear which process is dominant, and over what
range of stellar mass. In this paper, we find evidence for suppression of the
cross-correlation function between massive galaxies and less massive
star-forming galaxies, giving a measure of how less likely a galaxy is to be
star-forming in the vicinity of a more massive galaxy. We develop a formalism
for modelling environmental quenching mechanisms within the Halo Occupation
Distribution scheme. We find that at $z \sim 2$ environment is not a
significant factor in determining quenching of star-forming galaxies, and that
galaxies are quenched with similar probabilities when they are satellites in
sub-group environments, as they are globally. However, by $z \sim 0.5$ galaxies
are much less likely to be star forming when in a high density (group or
low-mass cluster) environment than when not. This increased probability of
being quenched does not appear to have significant radial dependence within the
halo at lower redshifts, supportive of the quenching being caused by the
halting of fresh inflows of pristine gas, as opposed to by tidal stripping.
Furthermore, by separating the massive sample into passive and star-forming, we
see that this effect is further enhanced when the central galaxy is passive, a
manifestation of galactic conformity.


title:
Extended OOBE Comparisons for OFDM, GFDM and WCP-COQAM at Equal Spectral
  Efficiency

abstract:
  Generalized frequency division multiplexing (GFDM), windowed cyclic prefix
circular offset quadrature amplitude modulation (WCP-COQAM) and orthogonal
frequency division multiplexing (OFDM) are among the candidate 5G modulation
formats. In this study, we present additional results for the OOBE comparisons
between OFDM, GFDM and WCP-COQAM under equal or unequal spectral efficiency
conditions for various simulation scenarios.


title:
Multifraction reduction I: The 3-Ore case and Artin-Tits groups of type
  FC

abstract:
  We describe a new approach to the Word Problem for Artin-Tits groups and,
more generally, for the enveloping group U(M) of a monoid M in which any two
elements admit a greatest common divisor. The method relies on a rewrite system
R(M) that extends free reduction for free groups. Here we show that, if M
satisfies what we call the 3-Ore condition about common multiples, what
corresponds to type FC in the case of Artin-Tits monoids, then the system R(M)
is convergent. Under this assumption, we obtain a unique representation result
for the elements of U(M), extending Ore's theorem for groups of fractions and
leading to a solution of the Word Problem of a new type. We also show that
there exist universal shapes for the van Kampen diagrams of the words
representing 1.


title:
Our Sky now and then $-$ searches for lost stars and impossible effects
  as probes of advanced extra-terrestrial civilisations

abstract:
  Searches for extra-terrestrial intelligence (SETI) using large survey data
often look for possible signatures of astroengineering. We propose to search
for physically impossible effects caused by highly advanced technology, by
carrying out a search for disappearing galaxies and Milky Way stars. We select
$\sim$ 10 million objects from USNO-B1.0 with low proper motion ($\mu$ $<$ 20
milli arcseconds / year) imaged on the sky in two epochs. We search for objects
not found at the expected positions in the Sloan Digital Sky Survey (SDSS) by
visually examining images of $\sim$ 290 000 USNO-B1.0 objects with no
counterpart in the SDSS. We identify some spurious targets in the USNO-B1.0. We
find one candidate of interest for follow-up photometry, although it is very
uncertain. If the candidate eventually is found, it defines the probability of
observing a disappearing-object event the last decade to less than one in one
million in the given samples. Nevertheless, since the complete USNO-B1.0
dataset is 100 times larger than any of our samples, we propose an easily
accessible citizen science project in search of USNO-B1.0 objects which have
disappeared from the SDSS.


title:
Nonlinear argumental oscillators: Stability criterion and attractor's
  capture probability

abstract:
  The behaviour of a space-modulated, so-called "argumental" oscillator is
studied, which is represented by a model having an even-parity space-modulating
function. Analytic expressions of a stability criterion and of discrete energy
levels are given. Using an integrating factor and a Van der Pol representation
in the (amplitude, phase) space, an approximate implicit closed-form of the
solution is given. The probability to enter a stable-oscillation regime from
given initial conditions is calculated in symbolic form. These results allow an
analytic approach to stability and bifurcations of the system. They also allow
an assessment of the risk of occurrence of sustained large-amplitude
oscillations, when the phenomenon is to be avoided, and an assessment of the
conditions to apply to obtain oscillations whenever the phenomenon is desired.


title:
Tetrahedral shapes of neutron-rich Zr isotopes from
  multidimensionally-constrained relativistic Hartree-Bogoliubov model

abstract:
  We develop a multidimensionally constrained relativistic Hartree-Bogoliubov
(MDC-RHB) model in which the pairing correlations are taken into account by
making the Bogoliubov transformation. In this model, the nuclear shape is
assumed to be invariant under the reversion of $x$ and $y$ axes; i.e., the
intrinsic symmetry group is $V_4$ and all shape degrees of freedom
$\beta_{\lambda\mu}$ with even $\mu$ are included self-consistently. The RHB
equation is solved in an axially deformed harmonic oscillator basis. A
separable pairing force of finite range is adopted in the MDC-RHB model. The
potential energy curves of neutron-rich even-even Zr isotopes are calculated
with relativistic functionals DD-PC1 and PC-PK1 and possible tetrahedral shapes
in the ground and isomeric states are investigated. The ground state shape of
$^{110}$Zr is predicted to be tetrahedral with both functionals and so is that
of $^{112}$Zr with the functional DD-PC1. The tetrahedral ground states are
caused by large energy gaps around $Z=40$ and $N=70$ when $\beta_{32}$
deformation is included. Although the inclusion of the $\beta_{30}$ deformation
can also reduce the energy around $\beta_{20}=0$ and lead to minima with
pear-like shapes for nuclei around $^{110}$Zr, these minima are unstable due to
their shallowness.


title: Multifraction reduction II: Conjectures for Artin-Tits groups

abstract:
  Multifraction reduction is a new approach to the word problem for Artin-Tits
groups and, more generally, for the enveloping group of a monoid in which any
two elements admit a greatest common divisor. This approach is based on a
rewrite system ("reduction") that extends free group reduction. In this paper,
we show that assuming that reduction satisfies a weak form of convergence
called semi-convergence is sufficient for solving the word problem for the
enveloping group, and we connect semi-convergence with other conditions
involving reduction. We conjecture that these properties are valid for all
Artin-Tits monoids, and provide partial results and numerical evidence
supporting such conjectures.


title: Driven Discrete Time Quantum Walks

abstract:
  We introduce the driven discrete time quantum walk, where walkers are added
during the walk instead of only at the beginning. This leads to interference in
walker number and very different dynamics when compared to the original quantum
walk. These dynamics have two regimes, which we illustrate using the
one-dimensional line. Then, we explore a search application which has certain
advantages over current search protocols, namely that it does not require a
complicated initial state nor a specific measurement time to observe the marked
state. Finally, we describe a potential experimental implementation using
existing technology.


title:
Rate functions for random walks on Random conuctance Models and related
  topics

abstract:
  We consider laws of the iterated logarithm and the rate function for sample
paths of random walks on random conductance models under the assumption that
the random walks enjoy long time sub-Gaussian heat kernel estimates.


title:
LCrowdV: Generating Labeled Videos for Simulation-based Crowd Behavior
  Learning

abstract:
  We present a novel procedural framework to generate an arbitrary number of
labeled crowd videos (LCrowdV). The resulting crowd video datasets are used to
design accurate algorithms or training models for crowded scene understanding.
Our overall approach is composed of two components: a procedural simulation
framework for generating crowd movements and behaviors, and a procedural
rendering framework to generate different videos or images. Each video or image
is automatically labeled based on the environment, number of pedestrians,
density, behavior, flow, lighting conditions, viewpoint, noise, etc.
Furthermore, we can increase the realism by combining synthetically-generated
behaviors with real-world background videos. We demonstrate the benefits of
LCrowdV over prior lableled crowd datasets by improving the accuracy of
pedestrian detection and crowd behavior classification algorithms. LCrowdV
would be released on the WWW.


title:
De-Hashing: Server-Side Context-Aware Feature Reconstruction for Mobile
  Visual Search

abstract:
  Due to the prevalence of mobile devices, mobile search becomes a more
convenient way than desktop search. Different from the traditional desktop
search, mobile visual search needs more consideration for the limited resources
on mobile devices (e.g., bandwidth, computing power, and memory consumption).
The state-of-the-art approaches show that bag-of-words (BoW) model is robust
for image and video retrieval; however, the large vocabulary tree might not be
able to be loaded on the mobile device. We observe that recent works mainly
focus on designing compact feature representations on mobile devices for
bandwidth-limited network (e.g., 3G) and directly adopt feature matching on
remote servers (cloud). However, the compact (binary) representation might fail
to retrieve target objects (images, videos). Based on the hashed binary codes,
we propose a de-hashing process that reconstructs BoW by leveraging the
computing power of remote servers. To mitigate the information loss from binary
codes, we further utilize contextual information (e.g., GPS) to reconstruct a
context-aware BoW for better retrieval results. Experiment results show that
the proposed method can achieve competitive retrieval accuracy as BoW while
only transmitting few bits from mobile devices.


title:
The parameterized complexity of finding secluded solutions to some
  classical optimization problems on graphs

abstract:
  This work studies the parameterized complexity of finding secluded solutions
to classical combinatorial optimization problems on graphs such as finding
minimum s-t separators, feedback vertex sets, dominating sets, maximum
independent sets, and vertex deletion problems for hereditary graph properties:
Herein, one searches not only to minimize or maximize the size of the solution,
but also to minimize the size of its neighborhood. This restriction has
applications in secure routing and community detection.


title:
Explicit calculation of nuclear magnetic resonance relaxation rates in
  small pores to elucidate molecular scale fluid dynamics

abstract:
  A model linking the molecular-scale dynamics of fluids confined to nano-pores
to nuclear magnetic resonance (NMR) relaxation rates is proposed. The model is
fit to experimental NMR dispersions for water and oil in an oil shale assuming
that each fluid is characterised by three time constants and L\'{e}vy
statistics. Results yield meaningful and consistent intra-pore dynamical time
constants, insight into diffusion mechanisms and pore morphology. The model is
applicable to a wide range of porous systems and advances NMR dispersion as a
powerful tool for measuring nano-porous fluid properties.


title: Scene Text Detection via Holistic, Multi-Channel Prediction

abstract:
  Recently, scene text detection has become an active research topic in
computer vision and document analysis, because of its great importance and
significant challenge. However, vast majority of the existing methods detect
text within local regions, typically through extracting character, word or line
level candidates followed by candidate aggregation and false positive
elimination, which potentially exclude the effect of wide-scope and long-range
contextual cues in the scene. To take full advantage of the rich information
available in the whole natural image, we propose to localize text in a holistic
manner, by casting scene text detection as a semantic segmentation problem. The
proposed algorithm directly runs on full images and produces global, pixel-wise
prediction maps, in which detections are subsequently formed. To better make
use of the properties of text, three types of information regarding text
region, individual characters and their relationship are estimated, with a
single Fully Convolutional Network (FCN) model. With such predictions of text
properties, the proposed algorithm can simultaneously handle horizontal,
multi-oriented and curved text in real-world natural images. The experiments on
standard benchmarks, including ICDAR 2013, ICDAR 2015 and MSRA-TD500,
demonstrate that the proposed algorithm substantially outperforms previous
state-of-the-art approaches. Moreover, we report the first baseline result on
the recently-released, large-scale dataset COCO-Text.


title: nPDF constraints from the Large Hadron Electron Collider

abstract:
  An updated analysis regarding the expected nuclear PDF constraints from the
future Large Hadron Electron Collider (LHeC) experiment is presented. The new
study is based on a more flexible small-$x$ parametrization which provides less
biased uncertainty estimates in the region where there are currently no data
constraints. The effect of the LHeC is quantified by directly including a
sample of pseudodata according to the expected precision of this planned
experiment. As a result, a significant reduction of the small-$x$ uncertainties
in sea quarks and gluons is observed.


title:
Using EEG, SPECT, and Multivariate Resampling Methods to Differentiate
  Between Alzheimer's and other Cognitive Impairments

abstract:
  The incidence of Alzheimer's disease (AD) and other forms of dementia is
increasing in most western countries. For a precise and early diagnosis,
several examination modalities exist, among them single-photon emission
computed tomography (SPECT) and the electroencephalogram (EEG). The latter is
highly available, free of radiation hazards, and non-invasive. Thus, its
diagnostic utility regarding different stages of dementia is of great interest
in neurological research, along with the question of whether its utility
depends on age or sex of the person being examined. However, SPECT or EEG
measurements are intrinsically multivariate, and there has been a shortage of
sufficiently general inferential techniques for the analysis of multivariate
data in factorial designs when neither multivariate normality nor equality of
covariance matrices across groups should be assumed. We adapt an asymptotic
model based (parametric) bootstrap approach to this situation, demonstrate its
ability, and use it for a truly multivariate analysis of the EEG and SPECT
measurements, taking into account demographic factors such as age and sex.
These multivariate results are supplemented by marginal effects bootstrap
inference whose theoretical properties can be derived analogously to the
multivariate methods. Both inference approaches can have advantages in
particular situations, as illustrated in the data analysis.


title:
Hollow Gaussian beam generation through nonlinear interaction of photons
  with orbital-angular-momemtum

abstract:
  Hollow Gaussian beams (HGB) are a special class of doughnut shaped beams that
do not carry orbital angular momentum (OAM). Such beams have a wide range of
applications in many fields including atomic optics, bio-photonics, atmospheric
science, and plasma physics. Till date, these beams have been generated using
linear optical elements. Here, we show a new way of generating HGBs by
three-wave mixing in a nonlinear crystal. Based on nonlinear interaction of
photons having OAM and conservation of OAM in nonlinear processes, we
experimentally generated ultrafast HGBs of order as high as 6 and power >180 mW
at 355 nm. This generic concept can be extended to any wavelength, timescales
(continuous-wave and ultrafast) and any orders. We show that the removal of
azimuthal phase of vortices does not produce Gaussian beam. We also propose a
new and only method to characterize the order of the HGBs.


title:
A decomposition theorem for singular spaces with trivial canonical class
  of dimension at most five

abstract:
  In this paper we partly extend the Beauville-Bogomolov decomposition theorem
to the singular setting. We show that any complex projective variety of
dimension at most five with canonical singularities and numerically trivial
canonical class admits a finite cover, \'etale in codimension one, that
decomposes as a product of an Abelian variety, and singular analogues of
irreducible Calabi-Yau and irreducible holomorphic symplectic varieties.


title:
Suppression of Stokes scattering and improved optomechanical cooling
  with squeezed light

abstract:
  We develop a theory of optomechanical cooling with a squeezed input light
field. We show that Stokes heating transitions can be \emph{fully} suppressed
when the driving field is squeezed below the vacuum noise level at an
appropriately selected squeezing phase and for a finite amount of squeezing.
The quantum backaction limit to laser cooling can be therefore moved down to
zero and the resulting final temperature is then solely determined by the ratio
between the thermal phonon number and the optomechanical cooperativity
parameter, independently of the actual values of the cavity linewidth and
mechanical frequency. Therefore driving with a squeezed input field allows to
prepare nanomechanical resonators, even with low resonance frequency, in their
quantum ground state with a fidelity very close to one.


title: Thom irregularity and Milnor tube fibrations

abstract:
  We find natural and convenient conditions which allow us to produce classes
of genuine real map germs with Milnor tube fibration, either with Thom
regularity or without it.


title: Observation of resonant interactions among surface gravity waves

abstract:
  We experimentally study resonant interactions of oblique surface gravity
waves in a large basin. Our results strongly extend previous experimental
results performed mainly for perpendicular or collinear wave trains. We
generate two oblique waves crossing at an acute angle, while we control their
frequency ratio, steepnesses and directions. These mother waves mutually
interact and give birth to a resonant wave whose properties (growth rate,
resonant response curve and phase locking) are fully characterized. All our
experimental results are found in good quantitative agreement with four-wave
interaction theory with no fitting parameter. Off-resonance experiments are
also reported and the relevant theoretical analysis is conducted and validated.


title:
Monodromy Invariants and Polarization Types of Generalized Kummer
  Fibrations

abstract:
  In this paper a monodromy invariant for isotropic classes on generalized
Kummer type manifolds is constructed. This invariant is used to determine the
polarization type of Lagrangian fibrations on such manifolds - a notion which
was introduced in an earlier paper of the author. The result shows that the
polarization type of a Lagrangian fibration of generalized Kummer type depends
on the connected component of the moduli space.


title:
Bifurcations of cubic homoclinic tangencies in two-dimensional
  symplectic maps

abstract:
  We study bifurcations of cubic homoclinic tangencies in two-dimensional
symplectic maps. We distinguish two types of cubic homoclinic tangencies, and
each type gives different first return maps derived to diverse conservative
cubic H\'enon maps with quite different bifurcation diagrams. In this way, we
establish the structure of bifurcations of periodic orbits in two parameter
general unfoldings generalizing to the conservative case the results previously
obtained for the dissipative case. We also consider the problem of 1:4
resonance for the conservative cubic H\'enon maps.


title:
On The Multi-Hop Extension of Energy-Efficient WSN Time Synchronization
  Based on Time-Translating Gateways

abstract:
  We report preliminary results of a simulation study on the multi-hop
extension of the recently-proposed energy-efficient wireless sensor network
time synchronization scheme based on time-translating gateways. Unlike the
single-hop case, in multi-hop time synchronization a sensor node sends
measurement data to a head node through gateways which translate the timestamp
values of the received measurement data. Through simulations for two-hop time
synchronization, we analyze the impact of the addition of a gateway and its
translation of timestamp values on the clock frequency and measurement time
estimation and thereby demonstrate the feasibility of the multi-hop extension
of the energy-efficient WSN time synchronization based on time-translating
gateways.


title: Implications of a High-Mass Diphoton Resonance for Heavy Quark Searches

abstract:
  Heavy vector-like quarks coupled to a scalar $S$ will induce a coupling of
this scalar to gluons and possibly (if electrically charged) photons. The decay
of the heavy quark into $Sq$, with $q$ being a Standard Model quark, provides,
if kinematically allowed, new channels for heavy quark searches. Inspired by
naturalness considerations, we consider the case of a vector-like partner of
the top quark. For illustration, we show that a singlet partner can be searched
for at the 13$\,$TeV LHC through its decay into a scalar resonance in the
$2\gamma+\ell + X$ final states, especially if the diphoton branching ratio of
the scalar $S$ is further enhanced by the contribution of non coloured
particles. We then show that conventional heavy quark searches are also
sensitive to this new decay mode, when $S$ decays hadronically, by slightly
tightening the current selection cuts. Finally, we comment about the
possibility of disentangling, by scrutinising appropriate kinematic
distributions, heavy quark decays to $St$ from other standard decay modes.


title: The recombinase protein is a torque sensitive molecular switch

abstract:
  How a nano-searcher finds its nano-target is a general problem in
non-equilibrium statistical physics. It becomes vital when the searcher is a
damaged DNA fragment trying to find its counterpart on the intact homologous
chromosome. If the two copies are paired, that intact homologous sequence
serves as a template to reconstitute the damaged DNA sequence, enabling the
cell to survive without genetic mutations. To succeed, the search must stop
only when the perfect homology is found. The biological process that ensures
such a genomic integrity is called Homologous Recombination and is promoted by
the Recombinase proteins. In this article, we use torque-sensitive magnetic
tweezers to measure the free-energy landscape of the human Recombinase hRad51
protein assembled a DNA fragment. Based on our measurements we model the
hRad51/DNA complex as an out-of-equilibrium two-state system and provide a
thermodynamical description of Homologous Recombination. With this dynamical
two-state model, we suggest a mechanism by which the recombinase proteins
discriminate between homologous and a non-homologous sequences.


title:
Bose-Einstein Condensation of Photons versus Lasing and Hanbury
  Brown-Twiss Measurements with a Condensate of Light

abstract:
  The advent of controlled experimental accessibility of Bose-Einstein
condensates, as realized with e.g. cold atomic gases, exciton-polaritons, and
more recently photons in a dye-filled optical microcavity, has paved the way
for new studies and tests of a plethora of fundamental concepts in quantum
physics. We here describe recent experiments studying a transition between
laser-like dynamics and Bose-Einstein condensation of photons in the dye
microcavity system. Further, measurements of the second-order coherence of the
photon condensate are presented. In the condensed state we observe photon
number fluctuations of order of the total particle number, as understood from
effective particle exchange with the photo-excitable dye molecules. The
observed intensity fluctuation properties give evidence for Bose-Einstein
condensation occurring in the grand-canonical statistical ensemble regime.


title: Proof Diagrams for Multiplicative Linear Logic

abstract:
  The original idea of proof nets can be formulated by means of interaction
nets syntax. Additional machinery as switching, jumps and graph connectivity is
needed in order to ensure correspondence between a proof structure and a
correct proof in sequent calculus.
  In this paper we give an interpretation of proof nets in the syntax of string
diagrams. Even though we lose standard proof equivalence, our construction
allows to define a framework where soundness and well-typeness of a diagram can
be verified in linear time.


title: Consider avoiding the .05 significance level

abstract:
  It is suggested that some shortcomings of Null Hypothesis Significance
Testing (NHST), viewed from the perspective of Bayesian statistics, turn benign
once the traditional threshold p value of .05 is substituted by a sufficiently
smaller value. To illustrate, the posterior probability of H0 stating P=.5,
given data that just render it rejected by NHST with a p value of .05 (and a
uniform prior), is shown here to be not much smaller than .50 for most values
of N below 100 (and even exceeds .50 for N>=100); in contrast, with a p value
of .001 posterior probability does not exceed .06 for N<=100 (neither .25 for
N<9000). Yet more interesting, posterior probability becomes quite independent
of N with a p value of .0001, hence practically satisfying the alpha postulate
- set by Cornfield (1966) as the condition for p value being a measure of
evidence in itself. In view of the low prospect that most researchers will soon
convert to use Bayesian statistics in any form, we thus suggest that
researchers who elect the conservative option of resorting to NHST be
encouraged to avoid as much as possible using a p value of .05 as a threshold
for rejecting H0. The analysis presented here may be used to discuss afresh
which level of threshold p value seems to be a reasonable, practical
substitute.


title: Multifraction reduction III: The case of interval monoids

abstract:
  We investigate gcd-monoids, which are cancellative monoids in which any two
elements admit a left and a right gcd, and the associated reduction of
multifractions (arXiv:1606.08991 and 1606.08995), a general approach to the
word problem for the enveloping group. Here we consider the particular case of
interval monoids associated with finite posets. In this way, we construct
gcd-monoids, in which reduction of multifractions has prescribed properties not
yet known to be compatible: semi-convergence of reduction without convergence,
semi-convergence up to some level but not beyond, non-embeddability into the
enveloping group (a strong negation of semi-convergence).


title:
Closing the equations of motion of anisotropic fluid dynamics by a
  judicious choice of moment of the Boltzmann equation

abstract:
  In Moln\'ar et al. [Phys. Rev. D 93, 114025 (2016)] the equations of
anisotropic dissipative fluid dynamics were obtained from the moments of the
Boltzmann equation based on an expansion around an arbitrary anisotropic
single-particle distribution function. In this paper we make a particular
choice for this distribution function and consider the boost-invariant
expansion of a fluid in one dimension. In order to close the conservation
equations, we need to choose an additional moment of the Boltzmann equation. We
discuss the influence of the choice of this moment on the time evolution of
fluid-dynamical variables and identify the moment that provides the best match
of anisotropic fluid dynamics to the solution of the Boltzmann equation in the
relaxation-time approximation.

categories: nucl-th hep-ph physics.flu-dyn physics.plasm-ph