title:
Systematic study of infrared energy corrections in truncated oscillator
  spaces

abstract:
  We study the convergence properties of nuclear binding energies and
two-neutron separation energies obtained with self-consistent mean-field
calculations based on the Hartree-Fock-Bogolyubov (HFB) method with Gogny-type
effective interactions. Owing to lack of convergence in a truncated working
basis, we employ and benchmark one of the recently proposed infrared energy
correction techniques to extrapolate our results to the limit of an infinite
model space. We also discuss its applicability to global calculations of
nuclear masses.


title: Applications of Probabilistic Programming (Master's thesis, 2015)

abstract:
  This thesis describes work on two applications of probabilistic programming:
the learning of probabilistic program code given specifications, in particular
program code of one-dimensional samplers; and the facilitation of sequential
Monte Carlo inference with help of data-driven proposals. The latter is
presented with experimental results on a linear Gaussian model and a
non-parametric dependent Dirichlet process mixture of objects model for object
recognition and tracking.
  In Chapter 1 we provide a brief introduction to probabilistic programming.
  In Chapter 2 we present an approach to automatic discovery of samplers in the
form of probabilistic programs. We formulate a Bayesian approach to this
problem by specifying a grammar-based prior over probabilistic program code. We
use an approximate Bayesian computation method to learn the programs, whose
executions generate samples that statistically match observed data or
analytical characteristics of distributions of interest. In our experiments we
leverage different probabilistic programming systems to perform Markov chain
Monte Carlo sampling over the space of programs. Experimental results have
demonstrated that, using the proposed methodology, we can learn approximate and
even some exact samplers. Finally, we show that our results are competitive
with regard to genetic programming methods.
  In Chapter 3, we describe a way to facilitate sequential Monte Carlo
inference in probabilistic programming using data-driven proposals. In
particular, we develop a distance-based proposal for the non-parametric
dependent Dirichlet process mixture of objects model. We implement this
approach in the probabilistic programming system Anglican, and show that for
that model data-driven proposals provide significant performance improvements.
We also explore the possibility of using neural networks to improve data-driven
proposals.


title:
Twisted Coxeter elements and folded AR-quivers via Dynkin diagram
  automorphisms: I

abstract:
  We introduce and study the twisted adapted $r$-cluster point and its
combinatorial Auslander-Reiten quivers, called twisted AR-quivers and folded
AR-quivers, of type $A_{2n+1}$ which are closely related to twisted Coxeter
elements and the non-trivial Dynkin diagram automorphism. As applications of
the study, we prove that folded AR-quivers encode crucial information on the
representation theory of quantum affine algebra $U_q'(B^{(1)}_{n+1})$ such as
Dorey's rule and denominator formulas.


title:
Chiral groundstate currents of interacting photons in a synthetic
  magnetic field

abstract:
  The intriguing many-body phases of quantum matter arise from the interplay of
particle interactions, spatial symmetries, and external fields. Generating
these phases in an engineered system could provide deeper insight into their
nature and the potential for harnessing their unique properties. However,
concurrently bringing together the main ingredients for realizing many-body
phenomena in a single experimental platform is a major challenge. Using
superconducting qubits, we simultaneously realize synthetic magnetic fields and
strong particle interactions, which are among the essential elements for
studying quantum magnetism and fractional quantum Hall (FQH) phenomena. The
artificial magnetic fields are synthesized by sinusoidally modulating the qubit
couplings. In a closed loop formed by the three qubits, we observe the
directional circulation of photons, a signature of broken time-reversal
symmetry. We demonstrate strong interactions via the creation of
photon-vacancies, or "holes", which circulate in the opposite direction. The
combination of these key elements results in chiral groundstate currents, the
first direct measurement of persistent currents in low-lying eigenstates of
strongly interacting bosons. The observation of chiral currents at such a small
scale is interesting and suggests that the rich many-body physics could survive
to smaller scales. We also motivate the feasibility of creating FQH states with
near future superconducting technologies. Our work introduces an experimental
platform for engineering quantum phases of strongly interacting photons and
highlight a path toward realization of bosonic FQH states.


title:
Existence of solutions for some nonlinear problems with boundary value
  conditions

abstract:
  In this paper we study the existence of solutions for nonlinear boundary
value problems ({\phi}(u' ))' = f(t,u,u'), l(u,u')=0 where l(u,u') =0 denotes
the Dirichlet or mixed conditions on [0, T], {\phi} is a bounded, singular or
classic homeomorphism such that {\phi}(0)=0, f(t,x,y) is a continuous function,
and T a positive real number. All the contemplated boundary value problems are
reduced to finding a fixed point for one operator defined on a space of
functions, and Schauder fixed point theorem or Leray-Schauder degree are used.


title:
A multi-axis confocal rheoscope for studying shear flow of structured
  fluids

abstract:
  We present a new design for a confocal rheoscope that enables uniform
uniaxial or biaxial shear. The design consists of two precisely-positioned
parallel plates with a gap that can be adjusted down to 2$\pm$0.1 \mu m,
allowing for the exploration of confinement effects. By using our shear cell in
conjunction with a biaxial force measurement device and a high-speed confocal
microscope, we are able to measure the real-time biaxial stress while
simultaneously imaging the material 3D structure. We illustrate the importance
of the instrument capabilities by discussing the applications of this
instrument in current and future research topics in colloidal suspensions.


title: On local smoothing problems and Stein's maximal spherical means

abstract:
  It is proved that the local smoothing conjecture for wave equations implies
certain improvements on Stein's analytic family of maximal spherical means.
Some related problems are also discussed.


title: The Radio Jet Associated with the Multiple V380 Ori System

abstract:
  The giant Herbig-Haro object 222 extends over $\sim$6$'$ in the plane of the
sky, with a bow shock morphology. The identification of its exciting source has
remained uncertain over the years. A non-thermal radio source located at the
core of the shock structure was proposed to be the exciting source. However,
Very Large Array studies showed that the radio source has a clear morphology of
radio galaxy and a lack of flux variations or proper motions, favoring an
extragalactic origin. Recently, an optical-IR study proposed that this giant HH
object is driven by the multiple stellar system V380 Ori, located about 23$'$
to the SE of HH 222. The exciting sources of HH systems are usually detected as
weak free-free emitters at centimeter wavelengths. Here we report the detection
of an elongated radio source associated with the Herbig Be star or with its
close infrared companion in the multiple V380 Ori system. This radio source has
the characteristics of a thermal radio jet and is aligned with the direction of
the giant outflow defined by HH~222 and its suggested counterpart to the SE,
HH~1041. We propose that this radio jet traces the origin of the large scale HH
outflow. Assuming that the jet arises from the Herbig Be star, the radio
luminosity is a few times smaller than the value expected from the
radio-bolometric correlation for radio jets, confirming that this is a more
evolved object than those used to establish the correlation.


title: Inclusion of a perfect fluid term into the Einstein-Hilbert action

abstract:
  I introduce a method to obtain the stress-energy tensor of the perfect fluid
by adding a suitable term to the Einstein-Hilbert action. Variation should be
understood with respect to the metric.


title: $k$-protected vertices in unlabeled rooted plane trees

abstract:
  We find a simple, closed formula for the proportion of vertices which are
$k$-protected in all unlabeled rooted plane trees on $n$ vertices. We also find
that, as $n$ goes to infinity, the average rank of a random vertex in a tree of
size $n$ approaches 0.727649, and the average rank of the root of a tree of
size $n$ approaches 1.62297.


title: Study of young stellar objects around SNR G18.8+0.3

abstract:
  In recent works, through observations of molecular lines, we found that the
supernova remnant (SNR) G18.8+0.3 is interacting with a molecular cloud towards
its southern edge. Also it has been proven the presence of several neighboring
HII regions very likely located at the same distance as the remnant. The
presence of dense molecular gas and the existence of shock fronts generated by
the SNR and HII regions make this region an interesting scenario to study the
population of young stellar objects. Thus, using the most modern colour
criteria applied to the emission in the mid-infrared bands obtained from IRAC
and MIPS on board Spitzer, we characterized all the point sources lying in this
region. We analyzed the spectral energy distributions of sources that show
signs of being young stellar objects in order to confirm their nature and
derive stellar parameters. Additionally, we present a map of the $^{12}$CO
J=3-2 emission obtained with the ASTE telescope towards one of the HII regions
embedded in the molecular cloud. The molecular gas was studied with the aim to
analyze whether the cloud is a potential site of star formation.


title: Spin Texture in Type-II Weyl Semimetal WTe2

abstract:
  We determine the band structure and spin texture of WTe2 by spin- and
angle-resolved photoemission spectroscopy (SARPES). With the support of
first-principles calculations, we reveal the existence of spin polarization of
both the Fermi arc surface states and bulk Fermi pockets. Our results support
WTe2 to be a type-II Weyl semimetal candidate and provide important information
to understand its extremely large and nonsaturating magnetoresistance.


title:
Existence of arbitrarily smooth solutions of the LLG equation in 3D with
  natural boundary conditions

abstract:
  We prove that the Landau-Lifshitz-Gilbert equation in three space dimensions
with homogeneous Neumann boundary conditions admits arbitrarily smooth
solutions, given that the initial data is sufficiently close to a constant
function.


title: Codes on Linear Sections of Grassmannians

abstract:
  We study algebraic geometry linear codes defined by linear sections of the
Grassmannian variety as codes associated to FFN$(1,q)$-projective varieties. As
a consequence, we show that Schubert, Lagrangian-Grassmannian, and isotropic
Grassmannian codes are special instances of codes defined by linear sections of
the Grassmannian variety.


title:
Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical
  lattices

abstract:
  We propose a scheme to realize a new Z_2 topological insulator in a square
optical lattice. Different from the conventional topological insulator
protected by the time-reversal symmetry, here, the optical lattice possesses a
novel hidden symmetry, which is responsible for the present Z_2 topological
order. With a properly defined pseudo-spin, such a topological insulator is
characterized by the helical edge states which exhibits pseudo-spin-momentum
locking, so that it can be considered as a quantum pseudo-spin Hall insulator.
The Z_2 topological invariant is derived and its experimental detection is
discussed as well.


title:
Three-dimensional simulations of gravitationally confined detonations
  compared to observations of SN 1991T

abstract:
  The gravitationally confined detonation (GCD) model has been proposed as a
possible explosion mechanism for Type Ia supernovae in the single-degenerate
evolution channel. Driven by buoyancy, a deflagration flame rises in a narrow
cone towards the surface. For the most part, the flow of the expanding ashes
remains radial, but upon reaching the outer, low-pressure layers of the white
dwarf, an additional lateral component develops. This makes the deflagration
ashes converge again at the opposite side, where the compression heats fuel and
a detonation may be launched. To test the GCD explosion model, we perform a 3D
simulation for a model with an ignition spot offset near the upper limit of
what is still justifiable, 200 km. This simulation meets our deliberately
optimistic detonation criteria and we initiate a detonation. The detonation
burns through the white dwarf and leads to its complete disruption. We
determine nucleosynthetic yields by post-processing 10^6 tracer particles with
a 384 nuclide reaction network and we present multi-band light curves and
time-dependent optical spectra. We find that our synthetic observables show a
prominent viewing-angle sensitivity in UV and blue bands, which is in tension
with observed SNe Ia. The strong dependence on viewing-angle is caused by the
asymmetric distribution of the deflagration ashes in the outer ejecta layers.
Finally, we perform a comparison of our model to SN 1991T. The overall
flux-level of the model is slightly too low and the model predicts pre-maximum
light spectral features due to Ca, S, and Si that are too strong. Furthermore,
the model chemical abundance stratification qualitatively disagrees with recent
abundance tomography results in two key areas: our model lacks low velocity
stable Fe and instead has copious amounts of high-velocity 56Ni and stable Fe.
We therefore do not find good agreement of the model with SN 1991T.


title:
The heralded amplification for the single-photon multi-mode W state of
  the time-bin qubit

abstract:
  We put forward an effective amplification protocol for protecting the
single-photon multi-mode W state of the time-bin qubit. The protocol only
relies on linear optical elements, such as the $50:50$ beam splitters, variable
beam splitters with the transmission of $t$ and the polarizing beam splitters.
Only one pair of the single-photon multi-mode W state and some auxiliary single
photons are required, and the fidelity of the single-photon multi-mode W state
can be increased under $t<\frac{1}{2}$. The encoded time-bin information can be
perfectly contained. Our protocol is quite simple and economical, and it can be
realized under current experimental condition. Based on above features, it may
be useful in current and future quantum information processing.


title: Proposal for an Integrated Raman-free Correlated Photon Source

abstract:
  We propose a dual-pump third-order nonlinear scheme for producing pairs of
correlated photons that is less susceptible to Raman noise than typical
spontaneous four wave mixing methods (SFWM). Beginning with the full multimode
Hamiltonian we derive a general expression for the joint spectral amplitude,
from which the probability of producing a pair of photons can be calculated. As
an example, we demonstrate that a probability of 0.028 pairs per pulse can be
achieved in an appropriately designed fused silica microfiber. As compared with
single pump SFWM in standard fiber, we calculate that our process shows
significant suppression of the spontaneous Raman scattering and an improvement
in the signal to noise ratio.


title: Testing for Common Breaks in a Multiple Equations System

abstract:
  The issue addressed in this paper is that of testing for common breaks across
or within equations of a multivariate system. Our framework is very general and
allows integrated regressors and trends as well as stationary regressors. The
null hypothesis is that breaks in different parameters occur at common
locations and are separated by some positive fraction of the sample size unless
they occur across different equations. Under the alternative hypothesis, the
break dates across parameters are not the same and also need not be separated
by a positive fraction of the sample size whether within or across equations.
The test considered is the quasi-likelihood ratio test assuming normal errors,
though as usual the limit distribution of the test remains valid with
non-normal errors. Of independent interest, we provide results about the rate
of convergence of the estimates when searching over all possible partitions
subject only to the requirement that each regime contains at least as many
observations as some positive fraction of the sample size, allowing break dates
not separated by a positive fraction of the sample size across equations.
Simulations show that the test has good finite sample properties. We also
provide an application to issues related to level shifts and persistence for
various measures of inflation to illustrate its usefulness.

categories: math.ST econ.EM q-fin.ST stat.ME stat.TH


title:
ExTASY: Scalable and Flexible Coupling of MD Simulations and Advanced
  Sampling Techniques

abstract:
  For many macromolecular systems the accurate sampling of the relevant regions
on the potential energy surface cannot be obtained by a single, long Molecular
Dynamics (MD) trajectory. New approaches are required to promote more efficient
sampling. We present the design and implementation of the Extensible Toolkit
for Advanced Sampling and analYsis (ExTASY) for building and executing advanced
sampling workflows on HPC systems. ExTASY provides Python based "templated
scripts" that interface to an interoperable and high-performance pilot-based
run time system, which abstracts the complexity of managing multiple
simulations. ExTASY supports the use of existing highly-optimised parallel MD
code and their coupling to analysis tools based upon collective coordinates
which do not require a priori knowledge of the system to bias. We describe two
workflows which both couple large "ensembles" of relatively short MD
simulations with analysis tools to automatically analyse the generated
trajectories and identify molecular conformational structures that will be used
on-the-fly as new starting points for further "simulation-analysis" iterations.
One of the workflows leverages the Locally Scaled Diffusion Maps technique; the
other makes use of Complementary Coordinates techniques to enhance sampling and
generate start-points for the next generation of MD simulations. We show that
the ExTASY tools have been deployed on a range of HPC systems including ARCHER
(Cray CX30), Blue Waters (Cray XE6/XK7), and Stampede (Linux cluster), and that
good strong scaling can be obtained up to 1000s of MD simulations, independent
of the size of each simulation. We discuss how ExTASY can be easily extended or
modified by end-users to build their own workflows, and ongoing work to improve
the usability and robustness of ExTASY.


title:
Boda-RTC: Productive Generation of Portable, Efficient Code for
  Convolutional Neural Networks on Mobile Computing Platforms

abstract:
  The popularity of neural networks (NNs) spans academia, industry, and popular
culture. In particular, convolutional neural networks (CNNs) have been applied
to many image based machine learning tasks and have yielded strong results. The
availability of hardware/software systems for efficient training and deployment
of large and/or deep CNN models has been, and continues to be, an important
consideration for the field. Early systems for NN computation focused on
leveraging existing dense linear algebra techniques and libraries. Current
approaches use low-level machine specific programming and/or closed-source,
purpose-built vendor libraries. In this work, we present an open source system
that, compared to existing approaches, achieves competitive computational speed
while achieving higher portability. We achieve this by targeting the
vendor-neutral OpenCL platform using a code-generation approach. We argue that
our approach allows for both: (1) the rapid development of new computational
kernels for existing hardware targets, and (2) the rapid tuning of existing
computational kernels for new hardware targets. Results are presented for a
case study of targeting the Qualcomm Snapdragon 820 mobile computing platform
for CNN deployment.


title:
The magnitude of a metric space: from category theory to geometric
  measure theory

abstract:
  Magnitude is a numerical isometric invariant of metric spaces, whose
definition arises from a precise analogy between categories and metric spaces.
Despite this exotic provenance, magnitude turns out to encode many invariants
from integral geometry and geometric measure theory, including volume,
capacity, dimension, and intrinsic volumes. This paper will give an overview of
the theory of magnitude, from its category-theoretic genesis to its connections
with these geometric quantities.


title: Surface Orientation Strengthening in Metallic Nanowires

abstract:
  Due to the large free surface and strong anisotropy, the mechanical property
of nanowire differs from its bulk counterpart. In this paper, the strong
dependence of NW's strength on its surface orientation is revealed, and two
modes of dislocation nucleation have been identified: the corner nucleation and
the surface nucleation. The activation energy and activation volume of surface
nucleation are much larger than those of the corner nucleation. The
intersection line between lateral surface and {111}-type slip plane causes the
discrepancy of the nucleation modes for the first dislocation.


title: Production of Charmed Tetraquarks from $B_c$ and $B$ decays

abstract:
  Hadronic states composed of multi-quark flavors may exist in reality since
they are not prohibited by QCD. Compact four quark systems of color singlet are
classified as tetraquarks. To understand the properties of these states, more
theoretical and experimental efforts are needed. In this work, we study charmed
tetraquarks with three light flavors using flavor $SU(3)$ symmetry. States with
three different light quarks must be in a ${\bf \bar 6 }$ or a ${\bf 15}$
multiplet. We investigate the production of charmed tetraquarks $X_c$ in $B\to
X_c (\overline {X}_c) P$ and $B_c \to X_c P$ decays. Whether the states with
three light quarks belong to ${\bf \bar 6}$ or ${\bf 15}$ can be determined by
studying various tetraquark $B$ and $B_c$ decays. We demonstrate that the decay
amplitudes for these decays can be parametrized by a few irreducible SU(3)
invariant amplitudes. We then derive relations for decay widths and CP
violating rate difference which can be examined experimentally. Although no
experimental measurement is available yet, they might be accessed at the
ongoing and forthcoming experiments like the LHCb and Belle-II. Measurements of
these observables can not only provide useful information for the study of
exotics spectroscopy but are also valuable information towards a better
understanding of some non-perturbative aspects of QCD.


title:
A new proof of the classification of Elliptic Foliations induced by real
  Quadratic Fields with center

abstract:
  In this work, we give a new proof of the classification of the Lotka-Volterra
and Reversible foliations, originally given by Gautier. This new proof,
involves an unified technique for both cases, using the theory of foliations.
  In addition, we obtain a linear family of elliptical foliations with a
non-invariant tangency set.


title: On A Subclass of Close-to-Convex Functions

abstract:
  In this paper, we introduce a subclass of close-to-convex functions defined
in the open unit disk. We obtain the inclusion relationships, coefficient
estimates and Fekete-Szego inequality. The results presented here would provide
extension of those given in earlier works.


title:
Superradiant instability of $D$-dimensional
  Reissner-Nordstr\"{o}m-anti-de Sitter black hole mirror system

abstract:
  In this paper, a detailed analysis for superradiant stability of the system
composed by a $D$-dimensional Reissner-Nordstr\"{o}m-anti-de Sitter (RN-AdS)
black hole and a reflecting mirror under charged scalar perturbations are
presented in the linear regime. It is found that the stability of the system is
heavily affected by the mirror radius as well as the mass of the scalar
perturbation, AdS radius and the dimension of space-time. In a higher
dimensional space-time, the degree of instability of the superradiant modes
will be severely weakened. Nevertheless, the degree of instability can be
magnified significantly by choosing a suitable value of the mirror radius.
Remarkably, when the mirror radius is smaller than a threshold value the system
becomes stable. We also find that massive charged scalar fields cannot trigger
the instabilities in the background of $D$-dimensional asymptotically flat RN
black hole. For a given scalar charge, a small RN-AdS black hole can be
superradiantly unstable, while a large one may be always stable under charged
scalar field with or without a reflecting mirror. We also show that these
results can be easily expounded and understood with the help of factorized
potential analysis.


title: Exploratory Adaptation in Large Random Networks

abstract:
  The capacity of cells and organisms to respond to challenging conditions in a
repeatable manner is limited by a finite repertoire of pre-evolved adaptive
responses. Beyond this capacity, cells can use exploratory dynamics to cope
with a much broader array of conditions. However, the process of adaptation by
exploratory dynamics within the lifetime of a cell is not well understood. Here
we demonstrate the feasibility of exploratory adaptation in a high-dimensional
network model of gene regulation. Exploration is initiated by failure to comply
with a constraint and is implemented by random sampling of network
configurations. It ceases if and when the network reaches a stable state
satisfying the constraint. We find that successful convergence (adaptation) in
high dimensions requires outgoing network hubs and is enhanced by their
auto-regulation. The ability of these empirically-validated features of gene
regulatory networks to support exploratory adaptation without fine-tuning,
makes it plausible for biological implementation.


title:
Twisted Coxeter elements and Folded AR-quivers via Dynkin diagram
  automorphisms:II

abstract:
  As a continuation of the previous paper, we find a combinatorial
interpretation of Dorey's rule for type $C_n$ via twisted Auslander-Reiten
quivers (AR-quivers) of type $D_{n+1}$, which are combinatorial AR-quivers
related to certain Dynkin diagram automorphisms. Combinatorial properties of
twisted AR-quivers are useful to understand not only Dorey's rule but also
other notions in the representation theory of the quantum affine algebra
$U_q'(C_n^{(1)})$ such as denominator formulas. In addition, unlike twisted
adapted classes of type $A_{2n-1}$ in the previous paper, we show twisted
AR-quivers of type $D_{n+1}$ consist of the cluster point called twisted
adapted cluster point. Hence, by introducing new combinatorial objects called
twisted Dynkin quivers of type $D_{n+1}$, we give one to one correspondences
between twisted Coxeter elements, twisted adapted classes and twisted
AR-quivers.


title: A Comparative Study of Algorithms for Realtime Panoramic Video Blending

abstract:
  Unlike image blending algorithms, video blending algorithms have been little
studied. In this paper, we investigate 6 popular blending algorithms---feather
blending, multi-band blending, modified Poisson blending, mean value coordinate
blending, multi-spline blending and convolution pyramid blending. We consider
in particular realtime panoramic video blending, a key problem in various
virtual reality tasks. To evaluate the performance of the 6 algorithms on this
problem, we have created a video benchmark of several videos captured under
various conditions. We analyze the time and memory needed by the above 6
algorithms, for both CPU and GPU implementations (where readily
parallelizable). The visual quality provided by these algorithms is also
evaluated both objectively and subjectively. The video benchmark and algorithm
implementations are publicly available.


title: Symbolic Dynamics for Normally Hyperbolic Foliations

abstract:
  We introduce some tools of symbolic dynamics to study the hyperbolic
directions of partially hyperbolic diffeomorphisms, emulating the well known
methods available for uniformly hyperbolic systems.


title: Quantum corrections to the Relativistic mean-field theory

abstract:
  In this paper, we compare the RMF theory and the model of deformed oscillator
shells (DOS) in description of the quantum properties of the bound states of
the spherically symmetric light nuclei. We obtain an explicit analytical
relation between differential equations for the RMF theory and DOS model, which
determine wave functions for nucleons. On such a basis we perform analysis of
correspondence of quantum properties of nuclei. We find: (1) Potential
$V_{RMF}$ of the RMF theory for nucleons has the wave functions $f$ and $g$
with joint part $h$ coincident exactly with the nucleon wave function of DOS
model with potential $V_{\rm shell}$. But, a difference between $V_{RMF}$ and
$V_{\rm shell}$ is essential for any nucleus. (2) The nucleon wave functions
and densities obtained by the DOS and RMF theories are essentially different.
The nucleon densities of the RMF theory contradict to knowledge about
distribution of the proton and neutron densities inside the nuclei obtained
from experimental data. This indicates that $g$ and $f$ have no sense of the
wave functions of quantum physics. But, $h$ provides proper description of
quantum properties of nucleons inside the nucleus. (3) We calculate meson
function $w^{0}$ and potential $V_{w}$ in RMF theory based on the found nucleon
density. (4) $f$ and $g$ are not solutions of Dirac equation with $V_{w}$. If
the meson theory describes quantum properties of nucleus well, then a
difference between $V_{w}$ and $V_{RMF}$ should be as small as possible. We
introduce new quantum corrections characterizing difference between these
potentials. We find that (a) The function $w^{0}$ should be reinforced
strongly, (b) The corrections are necessary to describe the quantum properties
of the nuclei.


title: Diffusive chaos in navigation satellites orbits

abstract:
  The navigation satellite constellations in medium-Earth orbit exist in a
background of third-body secular resonances stemming from the perturbing
gravitational effects of the Moon and the Sun. The resulting chaotic motions,
emanating from the overlapping of neighboring resonant harmonics, induce
especially strong perturbations on the orbital eccentricity, which can be
transported to large values, thereby increasing the collision risk to the
constellations and possibly leading to a proliferation of space debris. We show
here that this transport is of a diffusive nature and we present representative
diffusion maps that are useful in obtaining a global comprehension of the
dynamical structure of the navigation satellite orbits.


title:
Higher order nonclassicality from nonlinear coherent states for models
  with quadratic spectrum

abstract:
  Harmonic oscillator coherent states are well known to be the analogue of
classical states. On the other hand, nonlinear and generalised coherent states
may possess nonclassical properties. In this article, we study the nonclassical
behaviour of nonlinear coherent states for generalised classes of models
corresponding to the generalised ladder operators. A comparative analysis among
them indicates that the models with quadratic spectrum are more nonclassical
than the others. Our central result is further underpinned by the comparison of
the degree of nonclassicality of squeezed states of the corresponding models.


title: Dynamics and statistics in the operator algebra of quantum mechanics

abstract:
  Physics explains the laws of motion that govern the time evolution of
observable properties and the dynamical response of systems to various
interactions. However, quantum theory separates the observable part of physics
from the unobservable time evolution by introducing mathematical objects that
are only loosely connected to the actual physics by statistical concepts and
cannot be explained by any conventional sets of events. Here, I examine the
relation between statistics and dynamics in quantum theory and point out that
the Hilbert space formalism can be understood as a theory of ergodic
randomization, where the deterministic laws of motion define probabilities
according to a randomization of the dynamics that occurs in the processes of
state preparation and measurement.


title:
Magnetic-field- and pressure-induced quantum phase transition in
  CsFeCl$_3$ proved via magnetization measurement

abstract:
  We have performed magnetization measurements of the gapped quantum magnet
CsFeCl$_3$ at temperatures ($T$) down to 0.5\,K at ambient pressure and down to
1.8\,K at hydrostatic pressures ($P$) of up to 1.5\,GPa. The lower-field ($H$)
phase boundary of the field-induced ordered phase at ambient pressure is found
to follow the power-law behavior expressed by the formula $H_{\rm
N}(T)$\,$-$\,$H_{\rm c}$\,$\propto$\,$T_{\rm N}^{\phi}$. The application of
pressure extends the phase boundary to both a lower field and higher
temperature. Above the critical pressure $P_{\rm c}$\,$\sim$\,0.9\,GPa, the
transition field $H_{\rm N}$ associated with the excitation gap becomes zero,
and a signature of the magnetic phase transition is found in the $T$-dependence
of magnetization in a very low applied field. This suggests that CsFeCl$_3$
exhibits a pressure-induced magnetic phase transition at $P_{\rm c}$.


title: OpenSalicon: An Open Source Implementation of the Salicon Saliency Model

abstract:
  In this technical report, we present our publicly downloadable implementation
of the SALICON saliency model. At the time of this writing, SALICON is one of
the top performing saliency models on the MIT 300 fixation prediction dataset
which evaluates how well an algorithm is able to predict where humans would
look in a given image. Recently, numerous models have achieved state-of-the-art
performance on this benchmark, but none of the top 5 performing models
(including SALICON) are available for download. To address this issue, we have
created a publicly downloadable implementation of the SALICON model. It is our
hope that our model will engender further research in visual attention modeling
by providing a baseline for comparison of other algorithms and a platform for
extending this implementation. The model we provide supports both training and
testing, enabling researchers to quickly fine-tune the model on their own
dataset. We also provide a pre-trained model and code for those users who only
need to generate saliency maps for images without training their own model.


title: It's Time: OS Mechanisms for Enforcing Asymmetric Temporal Integrity

abstract:
  Mixed-criticality systems combine real-time components of different levels of
criticality, i.e. severity of failure, on the same processor, in order to
obtain good resource utilisation. They must guarantee deadlines of
highly-critical tasks at the expense of lower-criticality ones in the case of
overload. Present operating systems provide inadequate support for this kind of
system, which is of growing importance in avionics and other verticals. We
present an approach that provides the required asymmetric integrity and its
implementation in the high-assurance seL4 microkernel.


title: Nearest-Neighbor Searching Under Uncertainty II

abstract:
  Nearest-neighbor search, which returns the nearest neighbor of a query point
in a set of points, is an important and widely studied problem in many fields,
and it has wide range of applications. In many of them, such as sensor
databases, location-based services, face recognition, and mobile data, the
location of data is imprecise. We therefore study nearest-neighbor queries in a
probabilistic framework in which the location of each input point is specified
as a probability distribution function. We present efficient algorithms for
  - computing all points that are nearest neighbors of a query point with
nonzero probability; and
  - estimating the probability of a point being the nearest neighbor of a query
point, either exactly or within a specified additive error.


title:
Identifying Outliers using Influence Function of Multiple Kernel
  Canonical Correlation Analysis

abstract:
  Imaging genetic research has essentially focused on discovering unique and
co-association effects, but typically ignoring to identify outliers or atypical
objects in genetic as well as non-genetics variables. Identifying significant
outliers is an essential and challenging issue for imaging genetics and
multiple sources data analysis. Therefore, we need to examine for transcription
errors of identified outliers. First, we address the influence function (IF) of
kernel mean element, kernel covariance operator, kernel cross-covariance
operator, kernel canonical correlation analysis (kernel CCA) and multiple
kernel CCA. Second, we propose an IF of multiple kernel CCA, which can be
applied for more than two datasets. Third, we propose a visualization method to
detect influential observations of multiple sources of data based on the IF of
kernel CCA and multiple kernel CCA. Finally, the proposed methods are capable
of analyzing outliers of subjects usually found in biomedical applications, in
which the number of dimension is large. To examine the outliers, we use the
stem-and-leaf display. Experiments on both synthesized and imaging genetics
data (e.g., SNP, fMRI, and DNA methylation) demonstrate that the proposed
visualization can be applied effectively.


title:
Beyond Quantum interference and Optical pumping: invoking a Closed-loop
  phase

abstract:
  Atomic coherence effects arising from coherent light-atom interaction are
conventionally known to be governed by quantum interference and optical pumping
mechanisms. However, anisotropic nonlinear response driven by optical field
involves another fundamental effect arising from closed-loop multiphoton
transitions. This closed-loop phase dictates the tensorial structure of the
nonlinear susceptibility as it governs the principal coordinate system in
determining, whether the light field will either compete or cooperate with the
external magnetic field stimulus. Such a treatment provides deeper
understanding of all magneto-optical anisotropic response. The magneto-optical
response in all atomic systems is classified using closed-loop phase. The role
of quantum interference in obtaining electromagnetically induced transparency
or electromagnetically induced absorption in multi-level systems is identified.


title:
Hanke-Raus heuristic rule for variational regularization in Banach
  spaces

abstract:
  We generalize the heuristic parameter choice rule of Hanke-Raus for quadratic
regularization to general variational regularization for solving linear as well
as nonlinear ill-posed inverse problems in Banach spaces. Under source
conditions formulated as variational inequalities, we obtain a posteriori error
estimates in term of Bregman distance. By imposing certain conditions on the
random noise, we establish four convergence results; one relies on the source
conditions and the other three do not depend on any source conditions.
Numerical results are presented to illustrate the performance.


title:
Synthesis and different Optical properties of Gd2O3 doped sodium zinc
  tellurite glasses

abstract:
  Optical properties of a series of Gd2O3 doped sodium zinc tellurite
[xGd2O3-(0.8-x) TeO2-0.1Na2O-0.1ZnO] glasses prepared by conventional melt
quenching method have been studied. UV-Vis spectrophotometer was used in the
integrating sphere mode at room temperature to study the effect of Gd2O3 doping
on the optical band gap, refractive index, dielectric constant and
susceptibility within the wavelength range from 230-800 nm. Density is measured
using Archimedes principle for the calculation of molar volume, molar
refraction, polarizability and metallization criterion of the glasses.


title: Hardness of the Pricing Problem for Chains in Barter Exchanges

abstract:
  Kidney exchange is a barter market where patients trade willing but medically
incompatible donors. These trades occur via cycles, where each patient-donor
pair both gives and receives a kidney, and via chains, which begin with an
altruistic donor who does not require a kidney in return. For logistical
reasons, the maximum length of a cycle is typically limited to a small
constant, while chains can be much longer. Given a compatibility graph of
patient-donor pairs, altruists, and feasible potential transplants between
them, finding even a maximum-cardinality set of vertex-disjoint cycles and
chains is NP-hard. There has been much work on developing provably optimal
solvers that are efficient in practice. One of the leading techniques has been
branch and price, where column generation is used to incrementally bring cycles
and chains into the optimization model on an as-needed basis. In particular,
only positive-price columns need to be brought into the model. We prove that
finding a positive-price chain is NP-complete. This shows incorrectness of two
leading branch-and-price solvers that suggested polynomial-time chain pricing
algorithms.


title:
Gene-Gene association for Imaging Genetics Data using Robust Kernel
  Canonical Correlation Analysis

abstract:
  In genome-wide interaction studies, to detect gene-gene interactions, most
methods are divided into two folds: single nucleotide polymorphisms (SNP) based
and gene-based methods. Basically, the methods based on the gene are more
effective than the methods based on a single SNP. Recent years, while the
kernel canonical correlation analysis (Classical kernel CCA) based U statistic
(KCCU) has proposed to detect the nonlinear relationship between genes. To
estimate the variance in KCCU, they have used resampling based methods which
are highly computationally intensive. In addition, classical kernel CCA is not
robust to contaminated data. We, therefore, first discuss robust kernel mean
element, the robust kernel covariance, and cross-covariance operators. Second,
we propose a method based on influence function to estimate the variance of the
KCCU. Third, we propose a nonparametric robust KCCU method based on robust
kernel CCA, which is designed for contaminated data and less sensitive to noise
than classical kernel CCA. Finally, we investigate the proposed methods to
synthesized data and imaging genetic data set. Based on gene ontology and
pathway analysis, the synthesized and genetics analysis demonstrate that the
proposed robust method shows the superior performance of the state-of-the-art
methods.


title: Contextual Bandits with Latent Confounders: An NMF Approach

abstract:
  Motivated by online recommendation and advertising systems, we consider a
causal model for stochastic contextual bandits with a latent low-dimensional
confounder. In our model, there are $L$ observed contexts and $K$ arms of the
bandit. The observed context influences the reward obtained through a latent
confounder variable with cardinality $m$ ($m \ll L,K$). The arm choice and the
latent confounder causally determines the reward while the observed context is
correlated with the confounder. Under this model, the $L \times K$ mean reward
matrix $\mathbf{U}$ (for each context in $[L]$ and each arm in $[K]$)
factorizes into non-negative factors $\mathbf{A}$ ($L \times m$) and
$\mathbf{W}$ ($m \times K$). This insight enables us to propose an
$\epsilon$-greedy NMF-Bandit algorithm that designs a sequence of interventions
(selecting specific arms), that achieves a balance between learning this
low-dimensional structure and selecting the best arm to minimize regret. Our
algorithm achieves a regret of $\mathcal{O}\left(L\mathrm{poly}(m, \log K) \log
T \right)$ at time $T$, as compared to $\mathcal{O}(LK\log T)$ for conventional
contextual bandits, assuming a constant gap between the best arm and the rest
for each context. These guarantees are obtained under mild sufficiency
conditions on the factors that are weaker versions of the well-known
Statistical RIP condition. We further propose a class of generative models that
satisfy our sufficient conditions, and derive a lower bound of
$\mathcal{O}\left(Km\log T\right)$. These are the first regret guarantees for
online matrix completion with bandit feedback, when the rank is greater than
one. We further compare the performance of our algorithm with the state of the
art, on synthetic and real world data-sets.


title: The structure of the minimum size supertail of a subspace partition

abstract:
  Let $V=V(n,q)$ denote the vector space of dimension $n$ over the finite field
with $q$ elements. A subspace partition ${\mathcal P}$ of $V$ is a collection
of nontrivial subspaces of $V$ such that each nonzero vector of $V$ is in
exactly one subspace of ${\mathcal P}$. For any integer $d$, the $d$-supertail
of ${\mathcal P}$ is the set of subspaces in ${\mathcal P}$ of dimension less
than $d$, and it is denoted by $ST$. Let $\sigma_q(n,t)$ denote the minimum
number of subspaces in any subspace partition of $V$ in which the largest
subspace has dimension $t$. It was shown by Heden et al. that $|ST|\geq
\sigma_q(d,t)$, where $t$ is the largest dimension of a subspace in $ST$. In
this paper, we show that if $|ST|=\sigma_q(d,t)$, then the union of all the
subspaces in $ST$ constitutes a subspace under certain conditions.


title: Scaling limits of discrete holomorphic functions

abstract:
  One of the most natural and challenging issues in discrete complex analysis
is to prove the convergence of discrete holomorphic functions to their
continuous counterparts.
  This article is to solve the open problem in the general setting. To this end
we introduce new concepts of discrete surface measure and discrete outer normal
vector and establish the discrete Cauchy-Pompeiu integral formula,
  \begin{eqnarray*} f(\zeta)=\displaystyle{\int_{\partial B^h}}
\mathcal{K}^h(z,\zeta) f(z)dS^h(z)+\displaystyle{\int_{B^h}} E^h(\zeta-z)
\partial_{\bar z}^h f (z)dV^h(z),\end{eqnarray*} which results in the uniform
convergence of the scaling limits of discrete holomorphic functions up to
second order derivatives in the standard square lattices.


title:
Decentralized Control of Three-Dimensional Mobile Robotic Sensor
  Networks

abstract:
  Decentralized control of mobile robotic sensor networks is a fundamental
problem in robotics that has attracted intensive research in recent decades.
Most of the existing works dealt with two-dimensional spaces. This report is
concerned with the problem of decentralized self-deployment of mobile robotic
sensor networks in three-dimensional environments. The first part of the report
investigates the problem of complete sensing coverage in three-dimensional
spaces. We propose a decentralized random algorithm to drive mobile robotic
sensors on the vertices of a truncated octahedral grid for complete sensing
coverage of a bounded 3D area. In the second part, we present a distributed
random algorithm for search in bounded three-dimensional environments. Third,
we study the problem of locating static and mobile targets in a bounded 3D
space by a network of mobile robotic sensors. We introduce a novel
decentralized bio-inspired random search algorithm for finding static and
mobile objects in 3D areas. This algorithm combines the Levy flight random
search mechanism with a 3D covering grid. This report studies the problem of 3D
formation building in 3D spaces by a network of mobile robotic sensors.
Decentralized consensus-based control law for the multi-robot system which
results in forming a given geometric configuration from any initial positions
in 3D environments is proposed. Convergence of the mobile robotic sensors to
the given configurations are shown by extensive simulations. Moreover, a
mathematically rigorous proof of convergence of the proposed algorithms to the
given configurations are given.


title: Exponential sum approximations for $t^{-\beta}$

abstract:
  Given $\beta>0$ and $\delta>0$, the function $t^{-\beta}$ may be approximated
for $t$ in a compact interval $[\delta,T]$ by a sum of terms of the form
$we^{-at}$, with parameters $w>0$ and $a>0$. One such an approximation, studied
by Beylkin and Monz\'on, is obtained by applying the trapezoidal rule to an
integral representation of $t^{-\beta}$, after which Prony's method is applied
to reduce the number of terms in the sum with essentially no loss of accuracy.
We review this method, and then describe a similar approach based on an
alternative integral representation. The main difference is that the new
approach achieves much better results before the application of Prony's method;
after applying Prony's method the performance of both is much the same.


title:
Caching Placement in Stochastic Wireless Caching Helper Networks:
  Channel Selection Diversity via Caching

abstract:
  Content delivery success in wireless caching helper networks depends mainly
on cache-based channel selection diversity and network interference. For given
channel fading and network geometry, both channel selection diversity and
network interference dynamically vary according to what and how the caching
helpers cache at their finite storage space. We study probabilistic content
placement (or caching placement) to desirably control cache-based channel
selection diversity and network interference in a stochastic wireless caching
helper network, with sophisticated considerations of wireless fading channels,
interactions among multiple users such as interference and loads at caching
helpers, and arbitrary memory size. Using stochastic geometry, we derive
optimal caching probabilities in closed form to maximize the average success
probability of content delivery and propose an efficient algorithm to find the
solution in a noise-limited network. In an interference-limited network, based
on a lower bound of the average success probability of content delivery, we
find near-optimal caching probabilities in closed form to control the channel
selection diversity and the network interference. We numerically verify that
the proposed content placement is superior to other comparable content
placement strategies.


title: Periodicity Properties of the Colored Jones Polynomial

abstract:
  The "color" in the colored Jones polynomial is an integer parameter. In this
paper, a periodic pattern of the values of the colored Jones polynomial at the
second and the third roots of unity is found. If we substitute -1 to the
colored Jones polynomial, the value is alternately 1 or the determinant of the
given link. When it comes to substituting the primitive third root of unity,
another periodic pattern appears.


title: Large-area and high-quality 2D transition metal telluride

abstract:
  Atomically thin transitional metal ditellurides like WTe2 and MoTe2 have
triggered tremendous research interests because of their intrinsic nontrivial
band structure. They are also predicted to be 2D topological insulators and
type-II Weyl semimetals. However, most of the studies on ditelluride atomic
layers so far rely on the low-yield and time-consuming mechanical exfoliation
method. Direct synthesis of large-scale monolayer ditellurides has not yet been
achieved. Here, using the chemical vapor deposition (CVD) method, we
demonstrate controlled synthesis of high-quality and atom-thin tellurides with
lateral size over 300 {\mu}m. We found that the as-grown WTe2 maintains two
different stacking sequences in the bilayer, where the atomic structure of the
stacking boundary is revealed by scanning transmission electron microscope
(STEM). The low-temperature transport measurements revealed a novel
semimetal-to-insulator transition in WTe2 layers and an enhanced
superconductivity in few-layer MoTe2. This work paves the way to the synthesis
of atom-thin tellurides and also quantum spin Hall devices.


title: On the Capacity of an Elemental Two-Way Two-Tier Network

abstract:
  A basic setup of a two-tier network, where two mobile users exchange messages
with a multi-antenna macrocell basestation, is studied from a rate perspective
subject to beamforming and power constraints. The communication is facilitated
by two femtocell basestations which act as relays as there is no direct link
between the macrocell basestation and the mobile users. We propose a scheme
based on physical-layer network coding and compute-and-forward combined with a
novel approach that solves the problem of beamformer design and power
allocation. We also show that the optimal beamformers are always a convex
combination of the channels between the macro- and femtocell basestations. We
then establish the cut-set bound of the setup to show that the presented scheme
almost achieves the capacity of the setup numerically.


title: Self-Paced Learning: an Implicit Regularization Perspective

abstract:
  Self-paced learning (SPL) mimics the cognitive mechanism of humans and
animals that gradually learns from easy to hard samples. One key issue in SPL
is to obtain better weighting strategy that is determined by minimizer
function. Existing methods usually pursue this by artificially designing the
explicit form of SPL regularizer. In this paper, we focus on the minimizer
function, and study a group of new regularizer, named self-paced implicit
regularizer that is deduced from robust loss function. Based on the convex
conjugacy theory, the minimizer function for self-paced implicit regularizer
can be directly learned from the latent loss function, while the analytic form
of the regularizer can be even known. A general framework (named SPL-IR) for
SPL is developed accordingly. We demonstrate that the learning procedure of
SPL-IR is associated with latent robust loss functions, thus can provide some
theoretical inspirations for its working mechanism. We further analyze the
relation between SPL-IR and half-quadratic optimization. Finally, we implement
SPL-IR to both supervised and unsupervised tasks, and experimental results
corroborate our ideas and demonstrate the correctness and effectiveness of
implicit regularizers.


title: Stability and the Morse boundary

abstract:
  Stable subgroups and the Morse boundary are two systematic approaches to
collect and study the hyperbolic aspects of finitely generated groups. In this
paper we unify and generalize these strategies by viewing any geodesic metric
space as a countable union of stable subspaces: we show that every stable
subgroup is a quasi--convex subset of a set in this collection and that the
Morse boundary is recovered as the direct limit of the usual Gromov boundaries
of these hyperbolic subspaces.
  We use this approach, together with results of Leininger--Schleimer, to
deduce that there is no purely geometric obstruction to the existence of a
non-virtually--free convex cocompact subgroup of a mapping class group.
  In addition, we define two new quasi--isometry invariant notions of
dimension: the stable dimension, which measures the maximal asymptotic
dimension of a stable subset; and the Morse capacity dimension, which naturally
generalises Buyalo's capacity dimension for boundaries of hyperbolic spaces.
  We prove that every stable subset of a right--angled Artin group is
quasi--isometric to a tree; and that the stable dimension of a mapping class
group is bounded from above by a multiple of the complexity of the surface. In
the case of relatively hyperbolic groups we show that finite stable dimension
is inherited from peripheral subgroups.
  Finally, we show that all classical small cancellation groups and certain
Gromov monster groups have stable dimension at most 2.


title: A building block for hardware belief networks

abstract:
  Belief networks represent a powerful approach to problems involving
probabilistic inference, but much of the work in this area is software based
utilizing standard deterministic hardware based on the transistor which
provides the gain and directionality needed to interconnect billions of them
into useful networks. This paper proposes a transistor like device that could
provide an analogous building block for probabilistic networks. We present two
proof-of-concept examples of belief networks, one reciprocal and one
non-reciprocal, implemented using the proposed device which is simulated using
experimentally benchmarked models.


title: Unique SRB measures and transitivity for Anosov diffeomorphisms

abstract:
  We prove that every $C^2$ Anosov diffeomorphism in a compact and connected
Riemannian manifold has a unique SRB and physical probability measure, whose
basin of attraction covers Lebesgue almost every point in the manifold. Then,
we use structural stability of Anosov diffeomorphisms to deduce that all $C^1$
Anosov diffeomorphisms on compact and connected Riemannian manifolds are
transitive.


title:
The centralizer of $C^r$-generic diffeomorphisms at hyperbolic basic
  sets is trivial

abstract:
  In the late nineties, Smale proposed a list of problems for the next century
and, among these, it was conjectured that for every $r\ge 1$ a $C^r$-generic
diffeomorphism has trivial centralizer. Our contribution here is to prove the
triviality of $C^r$-centralizers on hyperbolic basic sets. In particular,
$C^r$-generic transitive Anosov diffeomorphisms have a trivial
$C^1$-centralizer. These results follow from a more general criterium for
expansive homeomorphisms with the gluing orbit property. We also construct a
linear Anosov diffeomorphism on $\mathbb T^3$ with discrete, non-trivial
centralizer and with elements that are not roots. Finally, we prove that all
elements in the centralizer of an Anosov diffeomorphism preserve some of its
maximal entropy measures, and use this to characterize the centralizer of
linear Anosov diffeomorphisms on tori.


title:
A Survey of Qualitative Spatial and Temporal Calculi -- Algebraic and
  Computational Properties

abstract:
  Qualitative Spatial and Temporal Reasoning (QSTR) is concerned with symbolic
knowledge representation, typically over infinite domains. The motivations for
employing QSTR techniques range from exploiting computational properties that
allow efficient reasoning to capture human cognitive concepts in a
computational framework. The notion of a qualitative calculus is one of the
most prominent QSTR formalisms. This article presents the first overview of all
qualitative calculi developed to date and their computational properties,
together with generalized definitions of the fundamental concepts and methods,
which now encompass all existing calculi. Moreover, we provide a classification
of calculi according to their algebraic properties.


title:
Constructions of Good Entanglement-Assisted Quantum Error Correcting
  Codes

abstract:
  Entanglement-assisted quantum error correcting codes (EAQECCs) are a simple
and fundamental class of codes. They allow for the construction of quantum
codes from classical codes by relaxing the duality condition and using
pre-shared entanglement between the sender and receiver. However, in general it
is not easy to determine the number of shared pairs required to construct an
EAQECC. In this paper, we show that this number is related to the hull of the
classical code. Using this fact, we give methods to construct EAQECCs requiring
desirable amount of entanglement. This leads to design families of EAQECCs with
good error performance. Moreover, we construct maximal entanglement EAQECCs
from LCD codes. Finally, we prove the existence of asymptotically good EAQECCs
in the odd characteristic case.


title: Aggregating quantum repeaters for the quantum internet

abstract:
  The quantum internet holds promise for performing quantum communication, such
as quantum teleportation and quantum key distribution, freely between any
parties all over the globe. For such a quantum internet protocol, a general
fundamental upper bound on the performance has been derived [K. Azuma, A.
Mizutani, and H.-K. Lo, arXiv:1601.02933]. Here we consider its converse
problem. In particular, we present a protocol constructible from any given
quantum network, which is based on running quantum repeater schemes in parallel
over the network. The performance of this protocol and the upper bound restrict
the quantum capacity and the private capacity over the network from both sides.
The optimality of the protocol is related to fundamental problems such as
additivity questions for quantum channels and questions on the existence of a
gap between quantum and private capacities.


title:
Efficiently Bounding Optimal Solutions after Small Data Modification in
  Large-Scale Empirical Risk Minimization

abstract:
  We study large-scale classification problems in changing environments where a
small part of the dataset is modified, and the effect of the data modification
must be quickly incorporated into the classifier. When the entire dataset is
large, even if the amount of the data modification is fairly small, the
computational cost of re-training the classifier would be prohibitively large.
In this paper, we propose a novel method for efficiently incorporating such a
data modification effect into the classifier without actually re-training it.
The proposed method provides bounds on the unknown optimal classifier with the
cost only proportional to the size of the data modification. We demonstrate
through numerical experiments that the proposed method provides sufficiently
tight bounds with negligible computational costs, especially when a small part
of the dataset is modified in a large-scale classification problem.


title: Recovering Architectural Variability of a Family of Product Variants

abstract:
  A Software Product Line (SPL) aims at applying a pre-planned systematic reuse
of large-grained software artifacts to increase the software productivity and
reduce the development cost. The idea of SPL is to analyze the business domain
of a family of products to identify the common and the variable parts between
the products. However, it is common for companies to develop, in an ad-hoc
manner (e.g. clone and own), a set of products that share common
functionalities and differ in terms of others. Thus, many recent research
contributions are proposed to re-engineer existing product variants to a SPL.
Nevertheless, these contributions are mostly focused on managing the
variability at the requirement level. Very few contributions address the
variability at the architectural level despite its major importance. Starting
from this observation, we propose, in this paper, an approach to reverse
engineer the architecture of a set of product variants. Our goal is to identify
the variability and dependencies among architectural-element variants at the
architectural level. Our work relies on Formal Concept Analysis (FCA) to
analyze the variability. To validate the proposed approach, we experimented on
two families of open-source product variants; Mobile Media and Health Watcher.
The results show that our approach is able to identify the architectural
variability and the dependencies.


title:
Non covered vertices in Fibonacci cubes by a maximum set of disjoint
  hypercubes

abstract:
  The Fibonacci cube of dimension n, denoted as $\Gamma$ n , is the subgraph of
n-cube Q n induced by vertices with no consecutive 1's. In this short note we
prove that asymptotically all vertices of $\Gamma$ n are covered by a maximum
set of disjoint subgraphs isomorphic to Q k , answering an open problem
proposed in [2].


title: Strict $\omega$-categories are monadic over polygraphs

abstract:
  We give a direct proof that the category of strict $\omega$-categories is
monadic over the category of polygraphs.


title:
On the Host Galaxy of GRB 150101B and the Associated Active Galactic
  Nucleus

abstract:
  We present a multi-wavelength analysis of the host galaxy of short-duration
gamma-ray burst (GRB) 150101B. Follow-up optical and X-ray observations
suggested that the host galaxy, 2MASX J12320498-1056010, likely harbors a
low-luminosity active galactic nuclei (AGN). Our modeling of the spectral
energy distribution (SED) has confirmed the nature of the AGN, making it the
first reported GRB host that contains an AGN. We have also found the host
galaxy is a massive elliptical galaxy with stellar population of $\sim 5.7\
Gyr$, one of the oldest among the short-duration GRB hosts. Our analysis
suggests that the host galaxy can be classified as an X-ray bright, optically
normal galaxy (XBONG), and the central AGN is likely dominated by a radiatively
inefficient accretion flow (RIAF). Our work explores interesting connection
that may exist between GRB and AGN activities of the host galaxy, which can
help understand the host environment of the GRB events and the roles of AGN
feedback.


title:
Combined effects of Sr substitution and pressure on the ground states in
  CaFe$_2$As$_2$

abstract:
  We present a detailed study of the combined effects of Sr substitution and
hydrostatic pressure on the ground-state properties of CaFe$_2$As$_2$.
Measurements of the electrical resistance and magnetic susceptibility, both at
ambient and finite pressure $P$ $\leq$ 2$\,$GPa, were performed on
Ca$_{1-x}$Sr$_x$Fe$_2$As$_2$ single crystals grown out of Sn flux. We find that
upon Sr substitution the ranges of stability of both the structural-magnetic
transition and the transition into the non-magnetic collapsed tetragonal phase
are shifted to higher pressure levels with the latter moving at a higher rate.
This suggests the possibility of separating the two phase lines, which
intersect already at elevated temperatures for $x$ = 0 and low Sr concentration
levels. For $x$ = 0.177 we find strong evidence that both phases remain
separated down to lowest temperature and that a zero-resistance state emerges
in this intermediate pressure window. This observation indicates that
Sr-substitution combined with hydrostatic pressure provides another route for
stabilizing superconductivity in CaFe$_2$As$_2$. Our results are consistent
with the notion that (i) preserving the fluctuations associated with the
structural-magnetic transition to low temperatures is vital for
superconductivity to form in this material and that (ii) the non-magnetic
collapsed tetragonal phase is detrimental for superconductivity.


title:
Model selection consistency from the perspective of generalization
  ability and VC theory with an application to Lasso

abstract:
  Model selection is difficult to analyse yet theoretically and empirically
important, especially for high-dimensional data analysis. Recently the least
absolute shrinkage and selection operator (Lasso) has been applied in the
statistical and econometric literature. Consis- tency of Lasso has been
established under various conditions, some of which are difficult to verify in
practice. In this paper, we study model selection from the perspective of
generalization ability, under the framework of structural risk minimization
(SRM) and Vapnik-Chervonenkis (VC) theory. The approach emphasizes the balance
between the in-sample and out-of-sample fit, which can be achieved by using
cross-validation to select a penalty on model complexity. We show that an exact
relationship exists between the generalization ability of a model and model
selection consistency. By implementing SRM and the VC inequality, we show that
Lasso is L2-consistent for model selection under assumptions similar to those
imposed on OLS. Furthermore, we derive a probabilistic bound for the distance
between the penalized extremum estimator and the extremum estimator without
penalty, which is dominated by overfitting. We also propose a new measurement
of overfitting, GR2, based on generalization ability, that converges to zero if
model selection is consistent. Using simulations, we demonstrate that the
proposed CV-Lasso algorithm performs well in terms of model selection and
overfitting control.


title: Nuclear spin warm-up in bulk n-GaAs

abstract:
  We show that the spin-lattice relaxation in n-type insulating GaAs is
dramatically accelerated at low magnetic fields. The origin of this effect,
that cannot be explained in terms of well-known diffusion-limited hyperfine
relaxation, is found in the quadrupole relaxation, induced by fluctuating donor
charges. Therefore, quadrupole relaxation, that governs low field nuclear spin
relaxation in semiconductor quantum dots, but was so far supposed to be
harmless to bulk nuclei spins in the absence of optical pumping can be studied
and harnessed in much simpler model environment of n-GaAs bulk crystal.


title:
Derivatives and inverse of a linear-nonlinear multi-layer spatial vision
  model

abstract:
  Linear-nonlinear transforms are interesting in vision science because they
are key in modeling a number of perceptual experiences such as color, motion or
spatial texture. Here we first show that a number of issues in vision may be
addressed through an analytic expression of the Jacobian of these
linear-nonlinear transforms. The particular model analyzed afterwards (an
extension of [Malo & Simoncelli SPIE 2015]) is illustrative because it consists
of a cascade of standard linear-nonlinear modules. Each module roughly
corresponds to a known psychophysical mechanism: (1) linear spectral
integration and nonlinear brightness-from-luminance computation, (2) linear
pooling of local brightness and nonlinear normalization for local contrast
computation, (3) linear frequency selectivity and nonlinear normalization for
spatial contrast masking, and (4) linear wavelet-like decomposition and
nonlinear normalization for frequency-dependent masking. Beyond being the
appropriate technical report with the missing details in [Malo & Simoncelli
SPIE 2015], the interest of the presented analytic results and numerical
methods transcend the particular model because of the ubiquity of the
linear-nonlinear structure. Part of this material was presented at MODVIS 2016
(see slides of the conference talk in the appendix at the end of this
document).


title:
Tunable two-dimensional electron gas at the surface of thermoelectric
  material In$_4$Se$_3$

abstract:
  We report the discovery of two-dimensional electron gas (2DEG) at the surface
of thermoelectric material In$_4$Se$_3$ by angle-resolved photoemission
spectroscopy. The observed 2DEG exhibits a nearly isotropic band dispersion
with a considerably small effective mass of m* = 0.16 m_0, and its carrier
density shows a significant temperature dependence, leading to unconventional
metal-semiconductor transition at the surface. The observed wide-range thermal
tunability of 2DEG in In$_4$Se$_3$ gives rise to additional degrees of freedom
to better control the surface carriers of semiconductors.


title:
Experimental observation and computational analysis of striations in
  electronegative capacitively coupled radio-frequency plasmas

abstract:
  Self-organized spatial structures in the light emission from the ion-ion
capacitive RF plasma of a strongly electronegative gas (CF4) are observed
experimentally for the first time. Their formation is analyzed and understood
based on particle-based kinetic simulations. These "striations" are found to be
generated by the resonance between the driving radio-frequency and the
eigenfrequency of the ion-ion plasma (derived from an analytical model) that
establishes a modulation of the electric field, the ion densities, as well as
the energy gain and loss processes of electrons in the plasma. The growth of
the instability is followed by the numerical simulations.


title: Causes of Irregular Energy Density in $f(R,T)$ Gravity

abstract:
  We investigate irregularity factors for a self-gravitating spherical star
evolving in the presence of imperfect fluid. We explore the gravitational field
equations and the dynamical equations with the systematic construction in
$f(R,T)$ gravity, where $T$ is the trace of the energy-momentum tensor.
Furthermore, we analyze two well-known differential equations (which occupy
principal importance in the exploration of causes of energy density
inhomogeneities) with the help of the Weyl tensor and the conservation laws.
The irregularity factors for a spherical star are examined for particular cases
of dust, isotropic and anisotropic fluids in dissipative and non-dissipative
regimes in the framework of $f(R,T)$ gravity. It is found that as the
complexity in the matter with the anisotropic stresses increases, the
inhomogeneity factor has more correspondences to one of the structure scalars.


title:
Observation of non-classical correlations in sequential measurements of
  photon polarization

abstract:
  A sequential measurement of two non-commuting quantum observables results in
a joint probability distribution for all output combinations that can be
explained in terms of an initial joint quasi-probability of the non-commuting
observables, modified by the resolution errors and back-action of the initial
measurement. Here, we show that the error statistics of a sequential
measurement of photon polarization performed at different measurement strengths
can be described consistently by an imaginary correlation between the
statistics of resolution and back-action. The experimental setup was designed
to realize variable strength measurements with well-controlled imaginary
correlation between the statistical errors caused by the initial measurement of
diagonal polarizations, followed by a precise measurement of the
horizontal/vertical polarization. We perform the experimental characterization
of an elliptically polarized input state and show that the same complex joint
probability distribution is obtained at any measurement strength.


title: A naive procedure for computing angular spheroidal functions

abstract:
  An algorithm for computing eigenvalues and eigenfunctions of the angular
spheroidal wave equation, based on a known but scarcely used method, is
developed. By requiring the regularity of the wave function, represented by its
series expansion, the eigenvalues appear as the zeros of a one variable
function easily computable. The iterative extended Newton method is suggested
as especially suitable for determining those zeros. The computation of the
eigenfunctions is then immediate. The usefulness of the method, applicable also
in the case of complex values of the "prolateness" parameter, is illustrated by
comparing its results with those of procedures used by other authors.


title:
Worldline approach for numerical computation of electromagnetic Casimir
  energies. I. Scalar field coupled to magnetodielectric media

abstract:
  We present a worldline method for the calculation of Casimir energies for
scalar fields coupled to magnetodielectric media. The scalar model we consider
may be applied in arbitrary geometries, and it corresponds exactly to one
polarization of the electromagnetic field in planar layered media. Starting
from the field theory for electromagnetism, we work with the two decoupled
polarizations in planar media and develop worldline path integrals, which
represent the two polarizations separately, for computing both Casimir and
Casimir-Polder potentials. We then show analytically that the path integrals
for the transverse-electric (TE) polarization coupled to a dielectric medium
converge to the proper solutions in certain special cases, including the
Casimir-Polder potential of an atom near a planar interface, and the Casimir
energy due to two planar interfaces. We also evaluate the path integrals
numerically via Monte-Carlo path-averaging for these cases, studying the
convergence and performance of the resulting computational techniques. While
these scalar methods are only exact in particular geometries, they may serve as
an approximation for Casimir energies for the vector electromagnetic field in
other geometries.


title: Mapping and Localization from Planar Markers

abstract:
  Squared planar markers are a popular tool for fast, accurate and robust
camera localization, but its use is frequently limited to a single marker, or
at most, to a small set of them for which their relative pose is known
beforehand. Mapping and localization from a large set of planar markers is yet
a scarcely treated problem in favour of keypoint-based approaches. However,
while keypoint detectors are not robust to rapid motion, large changes in
viewpoint, or significant changes in appearance, fiducial markers can be
robustly detected under a wider range of conditions. This paper proposes a
novel method to simultaneously solve the problems of mapping and localization
from a set of squared planar markers. First, a quiver of pairwise relative
marker poses is created, from which an initial pose graph is obtained. The pose
graph may contain small pairwise pose errors, that when propagated, leads to
large errors. Thus, we distribute the rotational and translational error along
the basis cycles of the graph so as to obtain a corrected pose graph. Finally,
we perform a global pose optimization by minimizing the reprojection errors of
the planar markers in all observed frames. The experiments conducted show that
our method performs better than Structure from Motion and visual SLAM
techniques.


title:
Equidistribution of curves in homogeneous spaces and Dirichlet's
  approximation theorem for matrices

abstract:
  In this paper, we study an analytic curve $\varphi: I=[a,b]\rightarrow
\mathrm{M}(m\times n, \mathbb{R})$ in the space of $m$ by $n$ real matrices,
and show that if $\varphi$ satisfies certain geometric condition, then for
almost every point on the curve, the Diophantine approximation given by
Dirichlet's Theorem can not be improved. To do this, we embed the curve into
some homogeneous space $G/\Gamma$, and prove that under the action of some
expanding diagonal subgroup $A= \{a(t): t \in \mathbb{R}\}$, the translates of
the curve tend to be equidistributed in $G/\Gamma$, as $t \rightarrow +\infty$.


title:
Using almetrics for contextualised mapping of societal impact: From hits
  to networks

abstract:
  In this article, we develop a method that uses altmetric data to analyse
researchers' interactions, as a way of mapping the contexts of potential
societal impact. In the face of an increasing policy demand for quantitative
methodologies to assess societal impact, social media data (altmetrics) has
been presented as a potential method to capture broader forms of impact.
However, current altmetric indicators were extrapolated from traditional
citation approaches and are seen as problematic for assessing societal impact.
In contrast, established qualitative methodologies for societal impact
assessment are based on interaction approaches. These argue that assessment
should focus on mapping the contexts in which engagement among researchers and
stakeholders take place, as a means to understand the pathways to societal
impact. Following these approaches, we propose to shift the use of altmetric
data towards network analysis of researchers and stakeholders. We carry out two
case studies, analysing researchers' networks with Twitter data. The comparison
illustrates the potential of Twitter networks to capture disparate degrees of
policy engagement. We propose that this mapping method can be used as an input
within broader methodologies in case studies of societal impact assessment.


title:
Thermal expansion and magneto-volume studies of the itinerant helical
  magnet MnSi

abstract:
  Thermal expansion and forced magnetostriction of MnSi were measured as a
function of temperature down to 5 K and magnetic field to 3 T. The small length
(volume) discontinuity at the magnetic phase transition in MnSi decreases with
application of magnetic field to a value $\Delta L/L \sim 10^{-7}$, and then
suddenly the discontinuity seemingly jumps to zero. Thermal expansivity peaks
strongly deteriorate with magnetic fields. No specific features identifying a
tricritical point were observed. We propose that the Frenkel concept of
heterophase fluctuations may be relevant in the current case. Therefore, we
suggest that the magnetic phase transition in MnSi always remains first order
at any temperature and magnetic field, but the transition is progressively
smoothed by heterophase fluctuations. These results question the applicability
of a model of a fluctuation-induced first order phase transition for MnSi.
Probably a model of coupling of an order parameter with other degrees of
freedom is more appropriate.


title:
Tracing scientific mobility of Early Career Researchers in Spain and The
  Netherlands through their publications

abstract:
  International scientific mobility is acknowledged to be a key mechanism for
the diffusion of knowledge, particularly tacit or 'sticky' knowledge that
cannot be transferred without geographical proximity and personal contact, for
the incorporation of young researchers into elite transnational scientific
networks, and for accessing additional resources or infrastructures that are
essential to the research process but located in other places. The inadequacy
and lack of appropriate data to assess the phenomenon of researcher mobility
has been repeatedly pointed out by scholars and policy makers. This paper
presents an exploratory analysis of different typologies of researchers
according to their traceable mobility using scientific publications covered in
the Web of Science (WoS). We compare two populations of researchers, of the
same 'scientific age', based in Spain and The Netherlands. We observe
differences in the degree of mobility of Spain and Netherlands based
researchers. Factors associated with the different institutional conditions
characterizing the two national systems need to be taken into account. First,
the Spanish and Dutch university and research systems are different in many
ways. Second, there may be very different institutional incentives for mobility
in the two systems. More sophisticated bibliometric analyses and comparisons
with different 'generations' of researchers, possibly combined with qualitative
investigation, will be required to better understand the role and function of
national institutional context in both research mobility and research careers.


title: Fibrations and log-symplectic structures

abstract:
  Log-symplectic structures are Poisson structures $\pi$ on $X^{2n}$ for which
$\bigwedge^n \pi$ vanishes transversally. By viewing them as symplectic forms
in a Lie algebroid, the $b$-tangent bundle, we use symplectic techniques to
obtain existence results for log-symplectic structures on total spaces of
fibration-like maps. More precisely, we introduce the notion of a
$b$-hyperfibration and show that they give rise to log-symplectic structures.
Moreover, we link log-symplectic structures to achiral Lefschetz fibrations and
folded-symplectic structures.


title:
CaMKII activation supports reward-based neural network optimization
  through Hamiltonian sampling

abstract:
  Synaptic plasticity is implemented and controlled through over thousand
different types of molecules in the postsynaptic density and presynaptic
boutons that assume a staggering array of different states through
phosporylation and other mechanisms. One of the most prominent molecule in the
postsynaptic density is CaMKII, that is described in molecular biology as a
"memory molecule" that can integrate through auto-phosporylation Ca-influx
signals on a relatively large time scale of dozens of seconds. The functional
impact of this memory mechanism is largely unknown. We show that the
experimental data on the specific role of CaMKII activation in dopamine-gated
spine consolidation suggest a general functional role in speeding up
reward-guided search for network configurations that maximize reward
expectation. Our theoretical analysis shows that stochastic search could in
principle even attain optimal network configurations by emulating one of the
most well-known nonlinear optimization methods, simulated annealing. But this
optimization is usually impeded by slowness of stochastic search at a given
temperature. We propose that CaMKII contributes a momentum term that
substantially speeds up this search. In particular, it allows the network to
overcome saddle points of the fitness function. The resulting improved
stochastic policy search can be understood on a more abstract level as
Hamiltonian sampling, which is known to be one of the most efficient stochastic
search methods.


title: Onset of anomalous diffusion from local motion rules

abstract:
  Anomalous diffusion processes, in particular superdiffusive ones, are known
to be efficient strategies for searching and navigation by animals and also in
human mobility. One way to create such regimes are L\'evy flights, where the
walkers are allowed to perform jumps, the "flights", that can eventually be
very long as their length distribution is asymptotically power-law distributed.
In our work, we present a model in which walkers are allowed to perform, on a
1D lattice, "cascades" of $n$ unitary steps instead of one jump of a randomly
generated length, as in the L\'evy case, where $n$ is drawn from a cascade
distribution $p_n$. We show that this local mechanism may give rise to
superdiffusion or normal diffusion when $p_n$ is distributed as a power law. We
also introduce waiting times that are power-law distributed as well and
therefore the probability distribution scaling is steered by the two PDF's
power-law exponents. As a perspective, our approach may engender a possible
generalization of anomalous diffusion in context where distances are difficult
to define, as in the case of complex networks, and also provide an interesting
model for diffusion in temporal networks.


title: Thermal Relic Dark Matter Beyond the Unitarity Limit

abstract:
  We discuss a simple model of thermal relic dark matter whose mass can be much
larger than the so-called unitarity limit on the mass of point-like particle
dark matter. The model consists of new strong dynamics with one flavor of
fermions in the fundamental representation which is much heavier than the
dynamical scale of the new strong dynamics. Dark matter is identified with the
lightest baryonic hadron of the new dynamics. The baryonic hadrons annihilate
into the mesonic hadrons of the new strong dynamics when they have large radii.
Resultantly, thermal relic dark matter with a mass in the PeV range is
possible.


title: The Mathematical Intelligencer flunks the Olympics

abstract:
  The Mathematical Intelligencer recently published a note by Y. Sergeyev that
challenges both mathematics and intelligence. We examine Sergeyev's claims
concerning his purported Infinity computer. We compare his grossone system with
the classical Levi-Civita fields and with the hyperreal framework of A.
Robinson, and analyze the related algorithmic issues inevitably arising in any
genuine computer implementation. We show that Sergeyev's grossone system is
unnecessary and vague, and that whatever consistent subsystem could be salvaged
is subsumed entirely within a stronger and clearer system (IST). Lou Kauffman,
who published an article on a grossone, places it squarely outside the
historical panorama of ideas dealing with infinity and infinitesimals.


title: An Alternating Qubit Protocol and Its Correctness Checking

abstract:
  In this paper, a quantum version of classical alternating bit protocol is
proposed. This protocol provides a reliable method to transmit the secret
quantum data via a noisy quantum channel while the entanglement between
particles is not broken. Our protocol is based on quantum teleportation and
superdense coding. By assuming that the participants can distinguish the
alternating qubit from other messages and also the assumption that data can be
resent unlimited times, an abstraction of this protocol can be derived. Using
the quantum process algebra \textit{full} $qACP$, we show that the proposed
protocol is correct, so the desired external behaviour of the protocol is
guaranteed.


title: Are there two types of pulsars?

abstract:
  In order to investigate the importance of dissipation in the pulsar
magnetosphere we decided to combine Force-Free with Aristotelian
Electrodynamics. We obtain solutions that are ideal (non-dissipative)
everywhere except in an equatorial current sheet where Poynting flux from both
hemispheres converges and is dissipated into particle acceleration and
radiation. We find significant dissipative losses (up to about 50% of the
pulsar spindown luminosity), similar to what is found in global PIC simulations
in which particles are provided only on the stellar surface. We conclude that
there might indeed exist two types of pulsars, strongly dissipative ones with
particle injection only from the stellar surface, and ideal (weakly
dissipative) ones with particle injection in the outer magnetosphere and in
particular at the Y-point.


title: A review of quantum collision dynamics in Debye plasmas

abstract:
  Hot, dense plasmas exhibit screened Coulomb interactions, resulting from the
collective effects of correlated many-particle interactions. In the lowest
particle correlation order (pair-wise correlations), the interaction between
charged plasma particles reduces to the Debye-H\"uckel (Yukawa-type) potential,
characterized by the Debye screening length D. Due to the importance of Coulomb
interaction screening in dense laboratory and astrophysical plasmas, hundreds
of theoretical investigations have been carried out in the past few decades on
the plasma screening effects on the electronic structure of atoms and their
collision processes employing the Debye-H\"uckel screening model. The present
article aims at providing a comprehensive review of the recent studies in
atomic physics in Debye plasmas. Specifically, the work on atomic electronic
structure, photon excitation and ionization, electron/positron impact
excitation and ionization, and excitation, ionization and charge transfer of
ion-atom/ion collisions will be reviewed.


title: A fixed contact angle condition for varifolds

abstract:
  We define a generalized fixed contact angle condition for $n$-varifold and
establish a boundary monotonicity formula. The results are natural
generalizations of those for the Neumann boundary condition considered by
Gr\"uter-Jost.


title: Substitutional 4d and 5d Impurities in Graphene

abstract:
  We describe the structural and electronic properties of graphene doped with
substitutional impurities of 4d and 5d transition metals. The binding energy
and distances for 4d and 5d metals in graphene show similar trends for the
later groups in the periodic table, which is also well-known characteristic of
3d elements. However, along earlier groups the 4d impurities in graphene show
very similar binding energies, distances and magnetic moments to 5d ones, which
can be related to the influence of the 4d and 5d lanthanide contraction.
Surprisingly, within the manganese group, the total magnetic moment of
3$\mu_{B}$ for manganese is reduced to 1$\mu_{B}$ for technetium and rhenium.
We find that with compared with 3d elements, the larger size of the 4d and 5d
elements causes a high degree hybridization with the neighbouring carbon atoms,
reducing spin splitting in the d levels. It seems that the magnetic adjustment
of graphene could be significantly different is 4d or 5d impurities are used
instead of 3d impurities.


title: Multiview Rectification of Folded Documents

abstract:
  Digitally unwrapping images of paper sheets is crucial for accurate document
scanning and text recognition. This paper presents a method for automatically
rectifying curved or folded paper sheets from a few images captured from
multiple viewpoints. Prior methods either need expensive 3D scanners or model
deformable surfaces using over-simplified parametric representations. In
contrast, our method uses regular images and is based on general developable
surface models that can represent a wide variety of paper deformations. Our
main contribution is a new robust rectification method based on ridge-aware 3D
reconstruction of a paper sheet and unwrapping the reconstructed surface using
properties of developable surfaces via $\ell_1$ conformal mapping. We present
results on several examples including book pages, folded letters and shopping
receipts.


title:
Purcell-enhanced single-photon emission from nitrogen-vacancy centers
  coupled to a tunable microcavity

abstract:
  Optical microcavities are a powerful tool to enhance spontaneous emission of
individual quantum emitters. However, the broad emission spectra encountered in
the solid state at room temperature limit the influence of a cavity, and call
for ultra-small mode volume. We demonstrate Purcell-enhanced single photon
emission from nitrogen-vacancy (NV) centers in nanodiamonds coupled to a
tunable fiber-based microcavity with a mode volume down to $1.0\,\lambda^{3}$.
We record cavity-enhanced fluorescence images and study several single emitters
with one cavity. The Purcell effect is evidenced by enhanced fluorescence
collection, as well as tunable fluorescence lifetime modification, and we infer
an effective Purcell factor of up to 2.0. With numerical simulations, we
furthermore show that a novel regime for light confinement can be achieved,
where a Fabry-Perot mode is combined with additional mode confinement by the
nanocrystal itself. In this regime, effective Purcell factors of up to 11 for
NV centers and 63 for silicon vacancy centers are feasible, holding promise for
bright single photon sources and efficient spin readout under ambient
conditions.


title: Testing dark energy models with $H(z)$ data

abstract:
  $Om(z)$ is a diagnostic approach to distinguish dark energy models. However,
there are few articles to discuss what is the distinguishing criterion. In this
paper, firstly we smooth the latest observational $H(z)$ data using a
model-independent method -- Gaussian processes, and then reconstruct the
$Om(z)$ and its fist order derivative $\mathcal{L}^{(1)}_m$. Such
reconstructions not only could be the distinguishing criteria, but also could
be used to estimate the authenticity of models. We choose some popular models
to study, such as $\Lambda$CDM, generalized Chaplygin gas (GCG) model,
Chevallier-Polarski-Linder (CPL) parametrization and Jassal-Bagla-Padmanabhan
(JBP) parametrization. We plot the trajectories of $Om(z)$ and
$\mathcal{L}^{(1)}_m$ with $1 \sigma$ confidence level of these models, and
compare them to the reconstruction from $H(z)$ data set. The result indicates
that the $H(z)$ data does not favor the CPL and JBP models at $1 \sigma$
confidence level. Strangely, in high redshift range, the reconstructed
$\mathcal{L}^{(1)}_m$ has a tendency of deviation from theoretical value, which
demonstrates these models are disagreeable with high redshift $H(z)$ data. This
result supports the conclusions of Sahni et al. \citep{sahni2014model} and Ding
et al. \citep{ding2015there} that the $\Lambda$CDM may not be the best
description of our universe.


title: Parked Cars are Excellent Roadside Units

abstract:
  A comprehensive implementation of the envisioned traffic safety and
efficiency applications of the IEEE 802.11p and WAVE standards assume the
premise of the use of DSRC technology both as on-board units (OBUs) and as
Roadside Units (RSUs). The high cost associated with RSUs, however, has so far
prevented massive deployment of RSUs. Finding alternative solutions to this
longstanding problem is therefore very important. In this paper, we propose a
self-organizing network approach to using parked cars in urban areas as RSUs.
This self-organizing network approach enables parked cars to create coverage
maps based on received signal strength and make important decisions, such as if
and when a parked car should serve as an RSU. Our results show the feasibility
and cost-effectiveness of the proposed approach, which is able to provide
excellent coverage using only a small fraction of the cars parked in a city.


title: Inscription of 3D waveguides in diamond using an ultrafast laser

abstract:
  Three dimensional waveguides within the bulk of diamond are manufactured
using ultrafast laser fabrication. High intensities within the focal volume of
the laser cause breakdown of the diamond into a graphitic phase leading to a
stress induced refractive index change in neighboring regions. Type II
waveguiding is thus enabled between two adjacent graphitic tracks, but
supporting just a single polarization state. We show that adaptive aberration
correction during the laser processing allows the controlled fabrication of
more complex structures beneath the surface of the diamond which can be used
for 3D waveguide splitters and Type III waveguides which support both
polarizations.


title: Compact multiplication operators on nest algebras

abstract:
  Let N be a nest on a Hilbert space H and AlgN the corresponding nest algebra.
We obtain a characterization of the compact and weakly compact multiplication
operators defined on nest algebras. This characterization leads to a
description of the closed ideal generated by the compact elements of AlgN . We
also show that there is no non-zero weakly compact multiplication operator on
AlgN / (AlgN $\cap$ K(H)).


title:
Classification of extinction profiles for a one-dimensional diffusive
  hamilton-jacobi equation with critical absorption

abstract:
  A classification of the behavior of the solutions $f(\cdot,a)$ to the
ordinary differential equation $(|f'|^{p-2} f')' + f - |f'|^{p-1} = 0$ in
$(0,\infty)$ with initial condition $f(0,a)=a$ and $f'(0,a)=0$ is provided,
according to the value of the parameter $a>0$, the exponent $p$ ranging in
$(1,2)$. There is a threshold value $a_*$ which separates different behaviors
of $f(\cdot,a)$: if $a>a_*$ then $f(\cdot,a)$ vanishes at least once in
$(0,\infty)$ and takes negative values while $f(\cdot,a)$ is positive in
$(0,\infty)$ and decays algebraically to zero as $r\to\infty$ if $a\in
(0,a_*)$. At the threshold value, $f(\cdot,a_*)$ is also positive in
$(0,\infty)$ but decays exponentially fast to zero as $r\to\infty$. The proof
of these results relies on a transformation to a first-order ordinary
differential equation and a monotonicity property with respect to $a>0$. This
classification is one step in the description of the dynamics near the
extinction time of a diffusive Hamilton-Jacobi equation with critical gradient
absorption and fast diffusion.


title:
Solvable Chaotic Synchronization -A New Interpretation of Common
  Noise-induced Synchronization with Conditional Lyapunov Exponents-

abstract:
  We show the first solvable chaotic synchronization model of unidirectionally
coupled dynamical systems. We establish a new interpretation of the conditional
Lyapunov exponent that characterizes chaotic synchronization completely.
Moreover, we newly show how the conditional Lyapunov exponent relates to common
noise-induced synchronization phenomena by the new interpretation.