title:
Magnetic hyperfine structure of the ground-state doublet in highly
  charged ions $^{229}$Th$^{89+,87+}$ and the Bohr-Weisskopf effect

abstract:
  The magnetic hyperfine (MHF) structure of the $5/2^+$(0.0 eV) ground state
and the low-lying $3/2^+$(7.8 eV) isomeric state of the $^{229}$Th nucleus in
highly charged ions Th$^{89+}$ and Th$^{87+}$ is calculated. The distribution
of the nuclear magnetization (the Bohr-Weisskopf effect) is accounted for in
the framework of the collective nuclear model with the wave functions of the
Nilsson model for the unpaired neutron. The deviations of the MHF structure for
the ground and isomeric states from their values in the model of point-like
nuclear magnetic dipole are calculated. The influence of the mixing of the
states with the same quantum number $F$ on the energy of sublevels is studied.
Taking into account the mixing of states, the probabilities of the transitions
between the components of MHF structure are found.


title:
A Sufficient Condition for Absolute Continuity of Infinitely Divisible
  Distributions

abstract:
  We consider infinitely divisible distributions with symmetric L\'evy measure
and study the absolute continuity of them with respect to the Lebesgue measure.
We prove that if $\eta(r)=\int_{|x|\le r} x^2 \nu(dx)$ where $\nu$ is the
L\'evy measure, then $\int_0^1 \frac{r}{\eta(r)}dr <\infty$ is a sufficient
condition for absolute continuity. As far as we know, our result is not implied
by existing results about absolute continuity of infinitely divisible
distributions.


title: Vortices and vortex lattices in quantum ferrofluids

abstract:
  The experimental realization of quantum-degenerate Bose gases made of atoms
with sizeable magnetic dipole moments has created a new type of fluid, known as
a quantum ferrofluid, which combines the extraordinary properties of
superfluidity and ferrofluidity. A hallmark of superfluids is that they are
constrained to rotate through vortices with quantized circulation. In quantum
ferrofluids the long-range dipolar interactions add new ingredients by inducing
magnetostriction and instabilities, and also affect the structural properties
of vortices and vortex lattices. Here we give a review of the theory of
vortices in dipolar Bose-Einstein condensates, exploring the interplay of
magnetism with vorticity and contrasting this with the established behaviour in
non-dipolar condensates. We cover single vortex solutions, including structure,
energy and stability, vortex pairs, including interactions and dynamics, and
also vortex lattices. Our discussion is founded on the mean-field theory
provided by the dipolar Gross-Pitaevskii equation, ranging from analytic
treatments based on the Thomas-Fermi (hydrodynamic) and variational approaches
to full numerical simulations. Routes for generating vortices in dipolar
condensates are discussed, with particular attention paid to rotating
condensates, where surface instabilities drive the nucleation of vortices, and
lead to the emergence of rich and varied vortex lattice structures. We also
present an outlook, including potential extensions to degenerate Fermi gases,
quantum Hall physics, toroidal systems and the Berezinskii-Kosterlitz-Thouless
transition.

categories: cond-mat.quant-gas physics.atom-ph physics.flu-dyn quant-ph


title: How Often Do Diquarks Form? A Very Simple Model

abstract:
  Starting from a textbook result, the nearest-neighbor distribution of
particles in an ideal gas, we develop estimates for the probability with which
quarks $q$ in a mixed $q$, $\bar q$ gas are more strongly attracted to the
nearest $q$, potentially forming a diquark, than to the nearest $\bar q$.
Generic probabilities lie in the range of tens of percent, with values in the
several percent range even under extreme assumptions favoring $q\bar q$ over
$qq$ attraction.


title:
Computation of the difference-differential Galois group and differential
  relations among solutions for a second-order linear difference equation

abstract:
  We apply the difference-differential Galois theory developed by Hardouin and
Singer to compute the differential-algebraic relations among the solutions to a
second-order homogeneous linear difference equation of the form $
y(x+2)+a(x)y(x+1)+b(x)y(x)=0,$ where the coefficients $a(x),b(x)\in
\bar{\mathbb{Q}}(x)$ are rational functions in $x$ with coefficients in
$\bar{\mathbb{Q}}$. We develop algorithms to compute the
difference-differential Galois group associated to such an equation, and show
how to deduce the differential-algebraic relations among the solutions from the
defining equations of the Galois group.


title:
Longitudinal uniformity, time performance and irradiation test of pure
  CsI crystals

abstract:
  To study an alternative to BaF2, as the crystal choice for the Mu2e
calorimeter, thirteen pure CsI crystals from Opto Materials and ISMA producers
have been characterized by determining their light yield (LY) and longitudinal
response uniformity (LRU), when read with a UV extended PMT. The crystals show
a LY of ~ 100 p.e./MeV (~ 150 p.e./MeV) when wrapped with Tyvek and coupled to
the PMT without (with) optical grease. The LRU is well represented by a linear
slope that is on average around -0.6 %/cm. The timing performances of the Opto
Materials crystal, read with a UV extended MPPC, have been evaluated with
minimum ionizing particles. A timing resolution of ~ 330 ps (~ 440 ps) is
achieved when connecting the photosensor to the MPPC with (without) optical
grease. The crystal radiation hardness to a ionization dose has also been
studied for one pure CsI crystal from SICCAS. After exposing it to a dose of
900 Gy, a decrease of 33% in the LY is observed while the LRU remains
unchanged.


title:
Detecting service provider alliances on the choreography enactment
  pricing game

abstract:
  We present the choreography enactment pricing game, a cooperative
game-theoretic model for the study of scheduling of jobs using competitor
service providers. A choreography (a peer-to-peer service composition model)
needs a set of services to fulfill its jobs requirements. Users must choose,
for each requirement, which service providers will be used to enact the
choreography at lowest cost. Due to the lack of centralization, vendors can
form alliances to control the market. We show a novel algorithm capable of
detecting alliances among service providers, based on our study of the
bargaining set of this game.


title: Visualizing Dynamics: from t-SNE to SEMI-MDPs

abstract:
  Deep Reinforcement Learning (DRL) is a trending field of research, showing
great promise in many challenging problems such as playing Atari, solving Go
and controlling robots. While DRL agents perform well in practice we are still
missing the tools to analayze their performance and visualize the temporal
abstractions that they learn. In this paper, we present a novel method that
automatically discovers an internal Semi Markov Decision Process (SMDP) model
in the Deep Q Network's (DQN) learned representation. We suggest a novel
visualization method that represents the SMDP model by a directed graph and
visualize it above a t-SNE map. We show how can we interpret the agent's policy
and give evidence for the hierarchical state aggregation that DQNs are learning
automatically. Our algorithm is fully automatic, does not require any domain
specific knowledge and is evaluated by a novel likelihood based evaluation
criteria.


title:
How the electromagnetic field evolves in the presence of a mobile
  membrane

abstract:
  We consider a one-dimensional cavity composed of two perfect, fixed mirrors
and a mobile membrane in between. Assuming that the membrane starts to move
from rest and that the membrane moves appreciably in a time-scale much larger
than the time-scale in which the cavity electromagnetic field evolves
appreciably, we derive simple analytic formulas that describe to good
approximation the evolution of the field and that provide an intuitive physical
picture. These formulas take into account the position, velocity, and
acceleration of the membrane and are valid for arbitrarily large displacements
of the membrane along the cavity axis. Also, we deduce the conditions under
which the field can be described to good approximation by a single
instantaneous mode.


title: Non-Gaussianity in multiple three-form field inflation

abstract:
  In this work, we present a method for implementing the $\delta N$ formalism
to study the primordial non-Gaussianity produced in multiple three-form field
inflation. Using a dual description relating three-form fields to noncanonical
scalar fields, and employing existing results, we produce expressions for the
bispectrum of the curvature perturbation in terms of three-form quantities. We
study the bispectrum generated in a two three-form field inflationary scenario
for a particular potential that for suitable values of the parameters was found
in earlier work to give values of the spectral index and ratio of tensor to
scalar perturbations compatible with current bounds. We calculate the reduced
bispectrum for this model, finding an amplitude in equilateral and orthogonal
configurations of ${\cal O}(1)$ and in the squeezed limit of ${\cal
O}(10^{-3})$. We confirm, therefore, that this three-form inflationary scenario
is compatible with present observational constraints.


title:
A model of random center vortex lines in continuous 2+1-dimensional
  space-time

abstract:
  A picture of confinement in QCD based on a condensate of thick vortices with
fluxes in the center of the gauge group (center vortices) is studied. Previous
concrete model realizations of this picture utilized a hypercubic space-time
scaffolding, which, together with many advantages, also has some disadvantages,
e.g., in the treatment of vortex topological charge. In the present work, we
explore a center vortex model which does not rely on such a scaffolding.
Vortices are represented by closed random lines in continuous 2+1-dimensional
space-time. These random lines are modeled as being piece-wise linear, and an
ensemble is generated by Monte Carlo methods. The physical space in which the
vortex lines are defined is a torus with periodic boundary conditions. Besides
moving, growing and shrinking of the vortex configurations, also reconnections
are allowed. Our ensemble therefore contains not a fixed, but a variable number
of closed vortex lines. This is expected to be important for realizing the
deconfining phase transition. We study both vortex percolation and the
potential V (R) between quark and anti-quark as a function of distance R at
different vortex densities, vortex segment lengths, reconnection conditions and
at different temperatures. We find three deconfinement phase transitions, as a
function of density, as a function of vortex segment length, and as a function
of temperature.


title: Generalized surface codes and packing of logical qubits

abstract:
  We consider a notion of relative homology (and cohomology) for surfaces with
two types of boundaries. Using this tool, we study a generalization of Kitaev's
code based on surfaces with mixed boundaries. This construction includes both
Bravyi and Kitaev's and Freedman and Meyer's extension of Kitaev's toric code.
We argue that our generalization offers a denser storage of quantum
information. In a planar architecture, we obtain a three-fold overhead
reduction over the standard architecture consisting of a punctured square
lattice.


title: Boron Abundances Across the "Li-Be Dip" in the Hyades

abstract:
  Dramatic deficiencies of Li in the mid-F dwarf stars of the Hyades cluster
were discovered by Boesgaard & Tripicco. Boesgaard & King discovered
corresponding, but smaller, deficiencies in Be in the same narrow temperature
region in the Hyades. With the Space Telescope Imaging Spectrograph on the
Hubble Space Telescope we investigate B abundances in the Hyades F stars to
look for a potential B dip using the B I resonance line at 2496.8 A. The light
elements, Li, Be, and B, are destroyed inside stars at increasingly hotter
temperatures: 2.5, 3.5, and 5x10^6 K respectively. Consequently, these elements
survive to increasingly greater depths in a star and their surface abundances
indicate the depth and thoroughness of mixing in the star. We have
(re)determined Li abundances/upper limits for 79 Hyades dwarfs, Be for 43
stars, and B in five stars. We find evidence for a small drop in the B
abundance across the Li-Be dip. The B abundances for the four stars in the
temperature range 6100-6730 K fit the B-Be correlation found previously by
Boesgaard et al. Models of rotational mixing produce good agreement with the
relative depletions of Be and B in the dip region. We have compared our nLTE B
abundances for the three high B stars on either side of the Li-Be dip with
those found by Duncan et al. for the two Hyades giants. This confirms the
factor of ~10 decline in the B abundance in the Hyades giants as predicted by
dilution due to the deepening of the surface convection zone.


title:
Exercices sur les temps locaux de semi-martingales continues et les
  excursions browniennes

abstract:
  Depuis le tout d\'ebut du XX${}^\text{e}$ si\`ecle, l'\'etude des processus
stochastiques est un domaine tr\`es actif de la recherche en math\'ematiques.
Parmi ces processus, le mouvement brownien --- dont l'\'etude math\'ematique a
\'et\'e initi\'ee d\`es 1900, avec la th\`ese de Bachelier, entre autres
travaux --- a jou\'e, et joue encore, un r\^ole primordial. Ceci peut
s'expliquer par le fait que le mouvement brownien est l'objet limite
quasi-universel qui appara\^it dans le th\'eor\`eme central limite, lorsqu'on
fait agir le temps. Depuis la fin de la seconde guerre mondiale et les travaux
d'It\^o, Meyer, Tanaka et bien d'autres, les temps locaux et les excursions
sont devenus des outils essentiels pour \'etudier ce processus.
  Les exercices de ce volume ont \'et\'e \'elabor\'es, ann\'ee apr\`es ann\'ee,
par le second auteur, soit \`a la suite de lectures d'articles pr\'esentant,
parfois avec des m\'ethodes tr\`es diff\'erentes, telle ou telle propri\'et\'e
brownienne, soit simplement pour illustrer le contenu de son cours de DEA
(anciennement), de M2 aujourd'hui. Le premier auteur en a organis\'e la
synth\`ese, de fa\c{c}on \'economique et n\'eanmoins --- esp\'erons-le ---
tr\`es lisible. Les chapitres ont \'et\'e con\c{c}us pour cr\'eer un
aller-retour permanent entre les principaux r\'esultats du cours et les
exercices corrig\'es, afin que la compr\'ehension des uns renforce celle des
autres. C'est ainsi que de nombreuses solutions d'exercices donn\'ees ici
offrent un aper\c{c}u de la fa\c{c}on de prouver certains des th\'eor\`emes
rappel\'es plus haut.


title:
Characteristic classes of fiberwise branched surface bundles via
  arithmetic

abstract:
  This paper is about cohomology of mapping class groups from the perspective
of arithmetic groups. For a closed surface $S$ of genus $g$, the mapping class
group $Mod(S)$ admits a well-known arithmetic quotient $Mod(S)\rightarrow
Sp(2g, Z)$, under which the stable cohomology of $Sp(2g,Z)$ pulls back to
algebra generated by the odd MMM classes of $Mod(S)$. We extend this example to
other arithmetic groups associated to mapping class groups and explore some of
the consequences for surface bundles.
  For $G=Z/mZ$ and for a regular $G$-cover $S\rightarrow S'$ (possibly
branched), a finite index subgroup $\Gamma< Mod( S')$ admits a homomorphism to
an arithmetic group $Sp^G<Sp(2g,Z)$. The induced map on cohomology can be
understood using index theory. To this end, we describe a families version of
the $G$-index theorem for the signature operator and apply this to (i) compute
$H^2(Sp^G;Q)\rightarrow H^2(\Gamma;Q)$, (ii) re-derive Hirzebruch's formula for
signature of a branched cover (in the case of a surface bundle), (iii) compute
Toledo invariants of surface group representations to $SU(p,q)$ arising from
Atiyah--Kodaira constructions, and (iv) describe how classes in $H^*(Sp^G;Q)$
give equivariant cobordism invariants for surface bundles with a fiberwise $G$
action, following Church--Farb--Thibault.


title: Non-spurious solutions to second order BVP by monotonicity methods

abstract:
  We consider the following BVP $\ddot{x}\left( t\right) =f\left(
t,\dot{x}\left( t\right) ,x\left( t\right) \right) -h\left( t\right) $, $%
x\left( 0\right) =x\left( 1\right) =0$, where $f$ is continuous and satisfies
some other conditions, $h\in H_{0}^{1}\left( 0,1\right) $ together with its
discretization $$-\Delta^{2}x(k-1)+\frac{1}{n^{2}}f\left(\frac{k}{n}, n\Delta
x\left(k-1\right),
x\left(k\right)\right)=\frac{1}{n^{2}}h\left(\frac{k}{n}\right), k\in \left\{1,
2, \ldots,n \right\}.$$ Using monotonicity methods we obtain the convergence of
a solutions to a family of discrete problems to the solution of a continuous
one, i.e. the existence of non-spurious solutions to the above problems is
considered. Continuous dependence on parameters for the continuous problem is
also investigated.


title: Tunable negative Poisson's ratio in hydrogenated graphene

abstract:
  We perform molecular dynamics simulations to investigate the effect of
hydrogenation on the Poisson's ratio of graphene. It is found that the value
for Poisson's ratio in graphene can be effectively tuned from positive to
negative by varying the percentage of hydrogenation. Specifically, the
Poisson's ratio decreases with the increase of the percentage of hydrogenation,
and reaches a minimum value of -0.04 at the percentage of hydrogenation about
50%. The Poisson's ratio starts to increase with a further increase of the
percentage of hydrogenation. The appearance of minimum negative Poisson's ratio
in the hydrogenated graphene is attributed to the suppression of the
hydrogenation-induced ripples during stretching of graphene. Our results
demonstrate that hydrogenation is a valuable approach for the tuning of the
Poisson's ratio from positive to negative in graphene.


title:
Predicting fuel research octane number using Fourier-transform infrared
  absorption spectra of neat hydrocarbons

abstract:
  Liquid transportation fuels require costly and time-consuming tests to
characterize metrics, such as Research Octane Number (RON) for gasoline. If
fuel sale restrictions requiring use of standard Cooperative Fuel Research
testing procedures do not apply, these tests may be avoided by using
multivariate statistical models to predict RON and other quantities. Here we
show that an accurate statistical model for the RON of gasoline and
gasoline-like fuels can be constructed by ensuring the representation of key
functional groups in the spectroscopic data set are used to train the model. We
found that a principal component regression model for RON based on IR
absorbance and informed using neat and 134 mixtures of n-heptane, isooctane,
toluene, ethanol, methylcyclohexane, and 1-hexene could predict RON for the 10
Coordinating Research Council Fuels for Advanced Combustion Engine (FACE)
gasolines and 12 FACE gasoline blends with ethanol within 34.8+/-36.1 on
average and 51.2 in the worst case. We next studied the effect of adding 28
additional minor components found in the FACE gasolines to the statistical
model, and determined that it was necessary to add additional representatives
of the branched alkane and aromatics classes to reduce model error. For
example, adding 2,3-dimethylpentane and xylene to the previous model allowed it
to predict RON for the 22 target fuels within 0.3+/-4.4 on average and 7.9 in
the worst case. However, we determined that the specific choice of fuel in
those classes mattered less than ensuring the representation of the relevant
functional group. This work builds upon previous efforts by creating models
informed by neat and surrogate fuels---rather than complex real fuels---that
could predict the performance of complex unknown fuels.


title: A MoS2-based capacitive displacement sensor for DNA sequencing

abstract:
  We propose an aqueous functionalized molybdenum disulfide nanoribbon
suspended over a solid electrode as the first capacitive displacement sensor
aimed at determining the DNA sequence. The detectable sequencing events arise
from the combination of Watson-Crick base-pairing, one of nature's most basic
lock-and-key-binding mechanisms, with the ability of appropriately sized
atomically thin membranes to flex substantially in response to sub-nanonewton
forces. We employ carefully designed numerical simulations and theoretical
estimates to demonstrate excellent (79 % to 86 %) raw target detection accuracy
at ~70 million bases per second and electrical measurability of the detected
events. In addition, we demonstrate reliable detection of repeated DNA motifs.
Finally, we argue that the use of a nanoscale opening (nanopore) is not
requisite for the operation of the proposed sensor and present a simplified
sensor geometry without the nanopore as part of the sensing element. Our
results therefore potentially suggest a realistic, inherently base-specific,
high-throughput electronic DNA sequencing device as a cost-effective de-novo
alternative to the existing methods.


title: Real-Time Synthesis is Hard!

abstract:
  We study the reactive synthesis problem (RS) for specifications given in
Metric Interval Temporal Logic (MITL). RS is known to be undecidable in a very
general setting, but on infinite words only; and only the very restrictive BRRS
subcase is known to be decidable (see D'Souza et al. and Bouyer et al.). In
this paper, we precise the decidability border of MITL synthesis. We show RS is
undecidable on finite words too, and present a landscape of restrictions (both
on the logic and on the possible controllers) that are still undecidable. On
the positive side, we revisit BRRS and introduce an efficient on-the-fly
algorithm to solve it.


title:
On the zeros of polynomials generated by rational functions with a
  hyperbolic polynomial type denominator

abstract:
  This paper investigates the location of the zeros of a sequence of
polynomials generated by a rational function with a denominator of the form
$G(z,t)=P(t)+zt^{r}$, where the zeros of $P$ are positive and real. We show
that every member of a family of such generating functions - parametrized by
the degree of $P$ and $r$ - gives rise to a sequence of polynomials
$\{H_{m}(z)\}_{m=0}^{\infty}$ that is eventually hyperbolic. Moreover, when
$P(0)>0$ the real zeros of the polynomials $H_{m}(z)$ form a dense subset of an
interval $I\subset\mathbb{R}^{+}$, whose length depends on the particular
values of the parameters in the generating function.


title:
Assessing the interactivity and prescriptiveness of faculty professional
  development workshops: The Real-Time Professional Development Observation
  Tool (R-PDOT)

abstract:
  Professional development workshops are one of the primary mechanisms used to
help faculty improve their teaching, and draw in many STEM instructors every
year. Although workshops serve a critical role in changing instructional
practices within our community, we rarely assess workshops through careful
consideration of how they engage faculty. Initial evidence suggests that
workshop leaders often overlook central tenets of education research that are
well-established in classroom contexts, such as the role of interactivity in
enabling student learning. As such, there is a need to develop more robust,
evidence-based models of how best to support faculty learning in professional
development contexts, and to activity support workshop leaders in relating
their design decisions to familiar ideas form other educational contexts. In
response to these needs, we have developed an observation tool, the Real-Time
Professional Development Observation Tool (R-PDOT), to document the form and
focus of faculty's engagement during workshops. In this paper, we describe the
motivation and methodological considerations behind the development of the
R-PDOT, justify our decisions to highlight particular aspects of workshop
sessions, and demonstrate how the R-PDOT can be used to analyze three sessions
from the Physics and Astronomy New Faculty Workshop. We also justify the
accessibility and potential utility of the R-PDOT output as a reflective tool
using preliminary data from interviews with workshop leaders, and consider the
roles the R-PDOT could play in supporting future research on faculty
professional development.


title:
Cross sections for neutrino and antineutrino induced pion production on
  hydrocarbon in the few-GeV region using MINERvA

abstract:
  Separate samples of charged-current pion production events representing two
semi-inclusive channels $\nu_\mu$-CC($\pi^{+}$) and
$\bar{\nu}_{\mu}$-CC($\pi^{0}$) have been obtained using neutrino and
antineutrino exposures of the MINERvA detector. Distributions in kinematic
variables based upon $\mu^{\pm}$-track reconstructions are analyzed and
compared for the two samples. The differential cross sections for muon
production angle, muon momentum, and four-momentum transfer $Q^2$, are
reported, and cross sections versus neutrino energy are obtained. Comparisons
with predictions of current neutrino event generators are used to clarify the
role of the $\Delta(1232)$ and higher-mass baryon resonances in CC pion
production and to show the importance of pion final-state interactions. For the
$\nu_\mu$-CC($\pi^{+}$) ($\bar{\nu}_{\mu}$-CC($\pi^{0}$)) sample, the absolute
data rate is observed to lie below (above) the predictions of some of the event
generators by amounts that are typically 1-to-2 $\sigma$. However the
generators are able to reproduce the shapes of the differential cross sections
for all kinematic variables of either data set.


title:
Manganese in the West Atlantic Ocean in context of the first global
  ocean circulation model of manganese

abstract:
  Dissolved manganese (Mn) is a biologically essential element, and its
oxidised form is involved in the removal of trace elements from ocean waters.
Recently, a large number of highly accurate Mn measurements have been obtained
in the Atlantic, Indian and Arctic Oceans as part of the GEOTRACES programme.
The goal of this study is to combine these new observations with
state-of-the-art modelling to give new insights into the main sources and
redistribution of Mn throughout the ocean. To this end, we simulate the
distribution of dissolved Mn using a global-scale circulation model. This first
model includes simple parameterisations to account, realistically, for the
sources, processes and sinks of Mn in the ocean. Whereas oxidation and
(photo)reduction, as well as aggregation and settling are parameterised in the
model, biological uptake is not yet taken into account by the model. Our model
reproduces observations accurately and provides the following insights:
  - The high surface concentrations of manganese are caused by the combination
of photoreduction and sources to the upper ocean. The most important sources
are dust, then sediments, and, more locally, rivers.
  - Results show that surface Mn in the Atlantic Ocean moves downwards into the
North Atlantic Deep Water, but because of strong removal rates the Mn does not
propagate southwards.
  - There is a mostly homogeneous background concentration of dissolved Mn of
about 0.10 to 0.15 nM throughout most of the deep ocean. The model reproduces
this by means of a threshold on manganese oxides of 25 pM, suggesting that a
minimal concentration of Mn is needed before aggregation and removal become
efficient.
  - The observed sharp hydrothermal signals are produced by assuming both a
high source and a strong removal of Mn near hydrothermal vents.


title: Explainable Restricted Boltzmann Machines for Collaborative Filtering

abstract:
  Most accurate recommender systems are black-box models, hiding the reasoning
behind their recommendations. Yet explanations have been shown to increase the
user's trust in the system in addition to providing other benefits such as
scrutability, meaning the ability to verify the validity of recommendations.
This gap between accuracy and transparency or explainability has generated an
interest in automated explanation generation methods. Restricted Boltzmann
Machines (RBM) are accurate models for CF that also lack interpretability. In
this paper, we focus on RBM based collaborative filtering recommendations, and
further assume the absence of any additional data source, such as item content
or user attributes. We thus propose a new Explainable RBM technique that
computes the top-n recommendation list from items that are explainable.
Experimental results show that our method is effective in generating accurate
and explainable recommendations.


title: Combining NNPDF3.0 and NNPDF2.3QED through the APFEL evolution code

abstract:
  We present sets of parton distribution functions (PDFs), based on the
NNPDF3.0 family, which include the photon PDF from the NNPDF2.3QED sets, and
leading-order QED contributions to the DGLAP evolution as implemented in the
public code APFEL. The aim is to combine our state-of-the-art determination of
quark and gluon PDFs with the so far only direct determination of the photon
PDF from LHC data. In addition, the use of APFEL allowed us to employ a
solution of the DGLAP equation that, differently from that used for the
NNPDF2.3QED sets, includes QED corrections in a more accurate way. We briefly
discuss how these sets are constructed and investigate the effect of the
inclusion of the QED corrections on PDFs and parton luminosities. Finally, we
compare the resulting sets, which we dubbed NNPDF3.0QED, to the older
NNPDF2.3QED sets and to all presently available PDF sets that include QED
corrections, namely CT14QED and MRST2004QED.


title:
Induced magnetization and power loss for a periodically driven system of
  ferromagnetic nanoparticles with randomly oriented easy axes

abstract:
  We study the effect of an elliptically polarized magnetic field on a system
of non-interacting, single-domain ferromagnetic nanoparticles characterized by
a uniform distribution of easy axis directions. Our main goal is to determine
the average magnetization of this system and the power loss in it. In order to
calculate these quantities analytically, we develop a general perturbation
theory for the Landau-Lifshitz-Gilbert (LLG) equation and find its steady-state
solution for small magnetic field amplitudes. On this basis, we derive the
second-order expressions for the average magnetization and power loss,
investigate their dependence on the magnetic field frequency, and analyze the
role of subharmonic resonances resulting from the nonlinear nature of the LLG
equation. For arbitrary amplitudes, the frequency dependence of these
quantities is obtained from the numerical solution of this equation. The impact
of transitions between different regimes of regular and chaotic dynamics of
magnetization, which can be induced in nanoparticles by changing the magnetic
field frequency, is examined in detail.


title:
Conditions for quantum and classical tomogram-like functions to describe
  system states and to retain normalization during evolution

abstract:
  It is shown that dynamical equations for quantum tomograms retain the
normalization conditions of their solutions during evolution only if the
solutions satisfy a set of special conditions. These conditions are found
explicitly. On the contrary, it is also shown that the classical Liouville
equation, Moyal equation for Wigner function, and evolution equation for Husimi
function retain normalization of any initially normalized and quickly decaying
at infinity functions on the phase space. Other necessary and sufficient
conditions for optical and symplectic tomogram-like functions to be tomograms
of physical states are discussed.


title:
On the Dirichlet Problem for hypoelliptic evolution equations:
  Perron-Wiener solution and a cone-type criterion

abstract:
  We show how to apply harmonic spaces potential theory in the study of the
Dirichlet problem for a general class of evolution hypoelliptic partial
differential equations of second order. We construct Perron-Wiener solution and
we provide a sufficient condition for the regularity of the boundary points.
Our criterion extends and generalizes the classical parabolic-cone criterion
for the Heat equation due to Effros and Kazdan.


title:
Stellar Double Coronagraph: a multistage coronagraphic platform at
  Palomar observatory

abstract:
  We present a new instrument, the "Stellar Double Coronagraph" (SDC), a
flexible coronagraphic platform. Designed for Palomar Observatory's 200" Hale
telescope, its two focal and pupil planes allow for a number of different
observing configurations, including multiple vortex coronagraphs in series for
improved contrast at small angles. We describe the motivation, design,
observing modes, wavefront control approaches, data reduction pipeline, and
early science results. We also discuss future directions for the instrument.


title: Deforming group actions on Koszul algebras

abstract:
  We give Braverman-Gaitsgory style conditions for general PBW deformations of
skew group algebras formed from finite groups acting on Koszul algebras. When
the characteristic divides the order of the group, this includes deformations
of the group action as well as of the Koszul relations.


title: A Speaker Diarization System for Studying Peer-Led Team Learning Groups

abstract:
  Peer-led team learning (PLTL) is a model for teaching STEM courses where
small student groups meet periodically to collaboratively discuss coursework.
Automatic analysis of PLTL sessions would help education researchers to get
insight into how learning outcomes are impacted by individual participation,
group behavior, team dynamics, etc.. Towards this, speech and language
technology can help, and speaker diarization technology will lay the foundation
for analysis. In this study, a new corpus is established called CRSS-PLTL, that
contains speech data from 5 PLTL teams over a semester (10 sessions per team
with 5-to-8 participants in each team). In CRSS-PLTL, every participant wears a
LENA device (portable audio recorder) that provides multiple audio recordings
of the event. Our proposed solution is unsupervised and contains a new online
speaker change detection algorithm, termed G 3 algorithm in conjunction with
Hausdorff-distance based clustering to provide improved detection accuracy.
Additionally, we also exploit cross channel information to refine our
diarization hypothesis. The proposed system provides good improvements in
diarization error rate (DER) over the baseline LIUM system. We also present
higher level analysis such as the number of conversational turns taken in a
session, and speaking-time duration (participation) for each speaker.


title:
Automated Extraction of Number of Subjects in Randomised Controlled
  Trials

abstract:
  We present a simple approach for automatically extracting the number of
subjects involved in randomised controlled trials (RCT). Our approach first
applies a set of rule-based techniques to extract candidate study sizes from
the abstracts of the articles. Supervised classification is then performed over
the candidates with support vector machines, using a small set of lexical,
structural, and contextual features. With only a small annotated training set
of 201 RCTs, we obtained an accuracy of 88\%. We believe that this system will
aid complex medical text processing tasks such as summarisation and question
answering.


title:
Airbnb in tourist cities: comparing spatial patterns of hotels and
  peer-to-peer accommodation

abstract:
  In recent years, what has become known as collaborative consumption has
undergone rapid expansion through peer-to-peer (P2P) platforms. In the field of
tourism, a particularly notable example is that of Airbnb. This article
analyses the spatial patterns of Airbnb in Barcelona and compares them with
hotels and sightseeing spots. New sources of data, such as Airbnb listings and
geolocated photographs are used. Analysis of bivariate spatial autocorrelation
reveals a close spatial relationship between Airbnb and hotels, with a marked
centre-periphery pattern, although Airbnb predominates around the main hotel
axis and hotels predominate in some peripheral areas of the city. Another
interesting finding is that Airbnb capitalises more on the advantages of
proximity to the main tourist attractions of the city than does the hotel
sector. Finally, it was possible to detect those parts of the city that have
seen the greatest increase in pressure from tourism related to Airbnb's recent
expansion.


title: A microlens-array based pupil slicer and double scrambler for MAROON-X

abstract:
  We report on the design and construction of a microlens-array (MLA)-based
pupil slicer and double scrambler for MAROON-X, a new fiber-fed, red-optical,
high-precision radial-velocity spectrograph for one of the twin 6.5m Magellan
Telescopes in Chile. We have constructed a 3X slicer based on a single
cylindrical MLA and show that geometric efficiencies of >85% can be achieved,
limited by the fill factor and optical surface quality of the MLA. We present
here the final design of the 3x pupil slicer and double scrambler for MAROON-X,
based on a dual MLA design with (a)spherical lenslets. We also discuss the
techniques used to create a pseudo-slit of rectangular core fibers with low FRD
levels.


title: Development and construction of MAROON-X

abstract:
  We report on the development and construction of a new fiber-fed,
red-optical, high-precision radial-velocity spectrograph for one of the twin
6.5m Magellan Telescopes in Chile. MAROON-X will be optimized to find and
characterize rocky planets around nearby M dwarfs with an intrinsic per
measurement noise floor below 1 m/s. The instrument is based on a commercial
echelle spectrograph customized for high stability and throughput. A microlens
array based pupil slicer and double scrambler, as well as a rubidium-referenced
etalon comb calibrator will turn this spectrograph into a high-precision
radial-velocity machine. MAROON-X will undergo extensive lab tests in the
second half of 2016.


title:
Large deviations of convex hulls of planar random walks and Brownian
  motions

abstract:
  We prove large deviations principles (LDPs) for the perimeter and the area of
the convex hull of a planar random walk with finite Laplace transform of its
increments.
  We give explicit upper and lower bounds for the rate function of the
perimeter in terms of the rate function of the increments. These bounds
coincide and thus give the rate function for a wide class of distributions
which includes the Gaussians and the rotationally invariant ones. For random
walks with such increments, large deviations of the perimeter are attained by
the trajectories that asymptotically align into line segments. However, line
segments may not be optimal in general.
  Furthermore, we find explicitly the rate function of the area of the convex
hull for random walks with rotationally invariant distribution of increments.
For such walks, which necessarily have zero mean, large deviations of the area
are attained by the trajectories that asymptotically align into half-circles.
For random walks with non-zero mean increments, we find the rate function of
the area for Gaussian walks with drift. Here the optimal limit shapes are
elliptic arcs if the covariance matrix of increments is non-degenerate and
parabolic arcs if otherwise.
  The above results on convex hulls of Gaussian random walks remain valid for
convex hulls of planar Brownian motions of all possible parameters. Moreover,
we extend the LDPs for the perimeter and the area of convex hulls to general
Levy processes with finite Laplace transform.


title:
Energy Efficiency in Multiuser Transmission Over Parallel Frequency
  Channels

abstract:
  Energy efficiency is an important design criterion for wireless
communications. When parallel frequency channels are used for multiuser
transmission, the channel bandwidths and user power are adjusted to maximize
the sum information rate with the bandwidth budget, the transmit power budget,
and the user-specific rate requirements. The maximum sum rate is used in
measuring the energy efficiency. With fixed or flexible bandwidths of the
frequency channels, practical methods are developed to find the total transmit
power with the unique optimal resource (bandwidth and power) allocation for
maximum energy efficiency. This resource allocation ensures that, while each
user's minimum rate requirement is satisfied, all the excess resource of the
spectrum and transmit power is dedicated to the one user with the best channel
quality. Simulation results validate the optimal solutions of total transmit
power and resource allocation that support the energy-efficient multiuser
transmission.


title: Advanced Probabilistic Couplings for Differential Privacy

abstract:
  Differential privacy is a promising formal approach to data privacy, which
provides a quantitative bound on the privacy cost of an algorithm that operates
on sensitive information. Several tools have been developed for the formal
verification of differentially private algorithms, including program logics and
type systems. However, these tools do not capture fundamental techniques that
have emerged in recent years, and cannot be used for reasoning about
cutting-edge differentially private algorithms. Existing techniques fail to
handle three broad classes of algorithms: 1) algorithms where privacy depends
accuracy guarantees, 2) algorithms that are analyzed with the advanced
composition theorem, which shows slower growth in the privacy cost, 3)
algorithms that interactively accept adaptive inputs.
  We address these limitations with a new formalism extending apRHL, a
relational program logic that has been used for proving differential privacy of
non-interactive algorithms, and incorporating aHL, a (non-relational) program
logic for accuracy properties. We illustrate our approach through a single
running example, which exemplifies the three classes of algorithms and explores
new variants of the Sparse Vector technique, a well-studied algorithm from the
privacy literature. We implement our logic in EasyCrypt, and formally verify
privacy. We also introduce a novel coupling technique called \emph{optimal
subset coupling} that may be of independent interest.


title:
Hamiltonian models for topological phases of matter in three spatial
  dimensions

abstract:
  We present commuting projector Hamiltonian realizations of a large class of
(3+1)D topological models based on mathematical objects called unitary
G-crossed braided fusion categories. This construction comes with a wealth of
examples from the literature of symmetry-enriched topological phases. The
spacetime counterparts to our Hamiltonians are unitary state sum topological
quantum fields theories (TQFTs) that appear to capture all known constructions
in the literature, including the Crane-Yetter-Walker-Wang and 2-Group gauge
theory models. We also present Hamiltonian realizations of a state sum TQFT
recently constructed by Kashaev whose relation to existing models was
previously unknown. We argue that this TQFT is captured as a special case of
the Crane-Yetter-Walker-Wang model, with a premodular input category in some
instances.


title: No local $L^{1}$ solutions for semilinear fractional heat equations

abstract:
  We study the Cauchy problem for the semilinear fractional heat equation
$u_{t}=\triangle^{\alpha/2}u+f(u)$ with non-negative initial value $u_{0}\in
L^{q}(\mathbb{R}^{n})$ and locally Lipschitz, non-negative source term $f$. For
$f$ satisfying the Osgood-type condition
$\int_{1}^{\infty}\frac{ds}{f(s)}=\infty$, we show that there exist initial
conditions such that the equation has no local solution in
$L^{1}_{loc}(\mathbb{R}^{n})$.


title:
Exponentially-Biased Ground-State Sampling of Quantum Annealing Machines
  with Transverse-Field Driving Hamiltonians

abstract:
  We study the performance of the D-Wave 2X quantum annealing machine on
systems with well-controlled ground-state degeneracy. While obtaining the
ground state of a spin-glass benchmark instance represents a difficult task,
the gold standard for any optimization algorithm or machine is to sample all
solutions that minimize the Hamiltonian with more or less equal probability.
Our results show that while naive transverse-field quantum annealing on the
D-Wave 2X device can find the ground-state energy of the problems, it is not
well suited in identifying all degenerate ground-state configurations
associated to a particular instance. Even worse, some states are exponentially
suppressed, in agreement with previous studies on toy model problems [New J.
Phys. 11, 073021 (2009)]. These results suggest that more complex driving
Hamiltonians are needed in future quantum annealing machines to ensure a fair
sampling of the ground-state manifold.


title:
Gravitational waves from supermassive stars collapsing to a supermassive
  black hole

abstract:
  We derive the gravitational waveform from the collapse of a rapidly rotating
supermassive star (SMS) core leading directly to a seed of a supermassive black
hole (SMBH) in axisymmetric numerical-relativity simulations. We find that the
peak strain amplitude of gravitational waves emitted during the black-hole
formation is $\approx 5 \times 10^{-21}$ at the frequency $f \approx 5$\,mHz
for an event at the cosmological redshift $z=3$, if the collapsing SMS core is
in the hydrogen-burning phase. Such gravitational waves will be detectable by
space laser interferometric detectors like eLISA with signal-to-noise ratio
$\approx 10$, if the sensitivity is as high as LISA for $f=1$--10\,mHz. The
detection of the gravitational-wave signal will provide a potential opportunity
for testing the direct-collapse scenario for the formation of a seed of SMBHs.


title:
Gauge theories on compact toric surfaces, conformal field theories and
  equivariant Donaldson invariants

abstract:
  We show that equivariant Donaldson polynomials of compact toric surfaces can
be calculated as residues of suitable combinations of Virasoro conformal
blocks, by building on AGT correspondence between N = 2 supersymmetric gauge
theories and two-dimensional conformal field theory.


title:
An Approach to Stable Gradient Descent Adaptation of Higher-Order Neural
  Units

abstract:
  Stability evaluation of a weight-update system of higher-order neural units
(HONUs) with polynomial aggregation of neural inputs (also known as classes of
polynomial neural networks) for adaptation of both feedforward and recurrent
HONUs by a gradient descent method is introduced. An essential core of the
approach is based on spectral radius of a weight-update system, and it allows
stability monitoring and its maintenance at every adaptation step individually.
Assuring stability of the weight-update system (at every single adaptation
step) naturally results in adaptation stability of the whole neural
architecture that adapts to target data. As an aside, the used approach
highlights the fact that the weight optimization of HONU is a linear problem,
so the proposed approach can be generally extended to any neural architecture
that is linear in its adaptable parameters.


title: Adaptive and Scalable Android Malware Detection through Online Learning

abstract:
  It is well-known that malware constantly evolves so as to evade detection and
this causes the entire malware population to be non-stationary. Contrary to
this fact, prior works on machine learning based Android malware detection have
assumed that the distribution of the observed malware characteristics (i.e.,
features) do not change over time. In this work, we address the problem of
malware population drift and propose a novel online machine learning based
framework, named DroidOL to handle it and effectively detect malware. In order
to perform accurate detection, security-sensitive behaviors are captured from
apps in the form of inter-procedural control-flow sub-graph features using a
state-of-the-art graph kernel. In order to perform scalable detection and to
adapt to the drift and evolution in malware population, an online
passive-aggressive classifier is used.
  In a large-scale comparative analysis with more than 87,000 apps, DroidOL
achieves 84.29% accuracy outperforming two state-of-the-art malware techniques
by more than 20% in their typical batch learning setting and more than 3% when
they are continuously re-trained. Our experimental findings strongly indicate
that online learning based approaches are highly suitable for real-world
malware detection.


title:
Experimental violation of the Leggett-Garg inequality in a 3-level
  system

abstract:
  The Leggett-Garg (LG) test of macroscopic realism involves a series of
dichotomic non-invasive measurements that are used to calculate a function
which has a fixed upper bound for a macrorealistic system and a larger upper
bound for a quantum system. The quantum upper bound depends on both the details
of the measurement and the dimension of the system. Here we present an LG
experiment on a three-level quantum system, which produces a larger theoretical
quantum upper bound than that of a two-level quantum system. The experiment is
carried out in nuclear magnetic resonance (NMR) and consists of the LG test as
well as a test of the ideal assumptions associated with the experiment, such as
measurement non-invasiveness. The non-invasive measurements are performed via
the modified ideal negative result measurement scheme on a three-level system.
Once these assumptions are tested, the violation becomes small, despite the
fact that the LG value itself is large. Our results showcase the advantages of
using the modified measurement scheme that can reach the higher LG values, as
they give more room for hypothetical malicious errors in a real experiment


title:
A New Fluid Dynamical Model Coupling Heat with Application to Interior
  Separations

abstract:
  Based on the Boussinesq equations and the equation of state, a new fluid
dynamical model coupling heat is established. Furthermore, the conditions for
interior separation, which are determined by the initial conditions, are
obtained. This result is derived from the new model by using the interior
separation theorem which was established by T. Ma and S. Wang in
\cite{TM-SW1,TM-SW3}. The most important application of this result is to
predict when and where tornado and hurricane will occur.


title: Fast robustness quantification with variational Bayes

abstract:
  Bayesian hierarchical models are increasing popular in economics. When using
hierarchical models, it is useful not only to calculate posterior expectations,
but also to measure the robustness of these expectations to reasonable
alternative prior choices. We use variational Bayes and linear response methods
to provide fast, accurate posterior means and robustness measures with an
application to measuring the effectiveness of microcredit in the developing
world.


title: E-commerce in Your Inbox: Product Recommendations at Scale

abstract:
  In recent years online advertising has become increasingly ubiquitous and
effective. Advertisements shown to visitors fund sites and apps that publish
digital content, manage social networks, and operate e-mail services. Given
such large variety of internet resources, determining an appropriate type of
advertising for a given platform has become critical to financial success.
Native advertisements, namely ads that are similar in look and feel to content,
have had great success in news and social feeds. However, to date there has not
been a winning formula for ads in e-mail clients. In this paper we describe a
system that leverages user purchase history determined from e-mail receipts to
deliver highly personalized product ads to Yahoo Mail users. We propose to use
a novel neural language-based algorithm specifically tailored for delivering
effective product recommendations, which was evaluated against baselines that
included showing popular products and products predicted based on
co-occurrence. We conducted rigorous offline testing using a large-scale
product purchase data set, covering purchases of more than 29 million users
from 172 e-commerce websites. Ads in the form of product recommendations were
successfully tested on online traffic, where we observed a steady 9% lift in
click-through rates over other ad formats in mail, as well as comparable lift
in conversion rates. Following successful tests, the system was launched into
production during the holiday season of 2014.


title:
Search for electron antineutrinos associated with gravitational wave
  events GW150914 and GW151226 using KamLAND

abstract:
  We present a search for low energy antineutrino events coincident with the
gravitational wave events GW150914 and GW151226, and the candidate event
LVT151012 using KamLAND, a kiloton-scale antineutrino detector. We find no
inverse beta-decay neutrino events within $\pm 500$ seconds of either
gravitational wave signal. This non-detection is used to constrain the electron
antineutrino fluence and the luminosity of the astrophysical sources.


title:
A New View of Classification in Astronomy with the Archetype Technique:
  An Astronomical Case of the NP-complete Set Cover Problem

abstract:
  We introduce a new generic Archetype technique for source classification and
identification, based on the NP-complete set cover problem (SCP) in computer
science and operations research (OR). We have developed a new heuristic SCP
solver, by combining the greedy algorithm and the Lagrangian Relaxation (LR)
approximation method. We test the performance of our code on the test cases
from Beasley's OR Library and show that our SCP solver can efficiently yield
solutions that are on average 99% optimal in terms of the cost. We discuss how
to adopt SCP for classification purposes and put forward a new Archetype
technique. We use an optical spectroscopic dataset of extragalactic sources
from the Sloan Digital Sky Survey (SDSS) as an example to illustrate the steps
of the technique. We show how the technique naturally selects a basis set of
physically-motivated archetypal systems to represent all the extragalactic
sources in the sample. We discuss several key aspects in the technique and in
any general classification scheme, including distance metric, dimensionality,
and measurement uncertainties. We briefly discuss the relationships between the
Archetype technique and other machine-learning techniques, such as the
$k$-means clustering method. Finally, our code is publicly available and the
technique is generic and easy to use and expand. We expect that it can help
maximize the potential for astrophysical sciences of the low-S/N spectroscopic
data from future dark-energy surveys, and can find applications in many fields
of astronomy, including the formation and evolution of a variety of
astrophysical systems, such as galaxies, stars and planets.


title: Characterizing graphs of maximum matching width at most 2

abstract:
  The maximum matching width is a width-parameter that is defined on a
branch-decomposition over the vertex set of a graph. The size of a maximum
matching in the bipartite graph is used as a cut-function. In this paper, we
characterize the graphs of maximum matching width at most 2 using the minor
obstruction set. Also, we compute the exact value of the maximum matching width
of a grid.


title:
Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and
  related systems

abstract:
  This paper deals with the finite-time blow-up phenomena of classical
solutions for Vlasov/Navier-Stokes equations under suitable assumptions on the
initial configurations. We show that a solution to the coupled kinetic-fluid
system may be initially smooth, however, it can become singular in a finite
period of time. We provide a simple idea of showing the finite time blow up of
classical solutions to the coupled system which has not been studied so far. We
also obtain analogous results for related systems, such as isentropic
compressible Navier-Stokes equations, two-phase fluid equations consisting of
pressureless Euler equations and Navier-Stokes equations, and thick sprays
model.


title:
Spectral inclusion for $C_0$-Semigroups Drazin invertible and
  Quasi-Fredholm operators

abstract:
  Let $(T(t))_{t\geq0}$ be a $C_0$ semigroups and $A$ be its infinitesimal
generator. In this work, we prove that the spectral inclusion for
$(T(t))_{t\geq0}$ remains true for the Drazin invertible and Quasi-Fredholm
spectra. Also, we will give conditions under which facts $A$ is quasi-Fredholm,
$A$ is Drazin invertible and $A$ is B-Fredholm are equivalent.


title: Distinguishing Convergence on Phylogenetic Networks

abstract:
  We compare the phylogenetic tensors for various trees and networks for two,
three and four taxa. If the probability spaces between one tree or network and
another are not identical then there will be phylogenetic tensors that could
have arisen on one but not the other. We call these two trees or networks
distinguishable from each other. We show that for the binary symmetric model
there are no two-taxon trees and networks that are distinguishable from each
other, however there are three-taxon trees and networks that are
distinguishable from each other.
  We compare the time parameters for the phylogenetic tensors for various taxon
label permutations on a given tree or network. If the time parameters on one
taxon label permutation in terms of the other taxon label permutation are all
non-negative then we say that the two taxon label permutations are not network
identifiable from each other. We show that some taxon label permutations are
network identifiable from each other.
  We show that some four-taxon networks satisfy the four-point condition. Of
the two "shapes" of four-taxon rooted trees, one is defined by the cluster,
b,c,d, labelling taxa alphabetically from left to right. The network with this
shape and convergence between the two taxa with the root as their most recent
common ancestor satisfies the four-point condition.
  The phylogenetic tensors contain polynomial equations that cannot be easily
solved for four-taxon or higher trees or networks. We show how methods from
algebraic geometry, such as Gr\"obner bases, can be used to solve the
polynomial equations. We show that some four-taxon trees and networks can be
distinguished from each other.


title: New MDS Euclidean and Hermitian self-dual codes over finite fields

abstract:
  In this paper, we construct MDS Euclidean self-dual codes which are extended
cyclic duadic codes.
  And we obtain many new MDS Euclidean self-dual codes. We also construct MDS
Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic
codes. And we give some results on Hermitian self-dual codes, which are the
extended cyclic duadic codes.


title:
Quantum Bayesian approach to circuit QED measurement with moderate
  bandwidth

abstract:
  We consider continuous quantum measurement of a superconducting qubit in the
circuit QED setup with a moderate bandwidth of the measurement resonator, i.e.,
when the "bad cavity" limit is not applicable. The goal is a simple description
of the quantum evolution due to measurement, i.e., the measurement back-action.
Extending the quantum Bayesian approach previously developed for the "bad
cavity" regime, we show that the evolution equations remain the same, but now
they should be applied to the entangled qubit-resonator state, instead of the
qubit state alone. The derivation uses only elementary quantum mechanics and
basic properties of coherent states, thus being accessible to non-experts.


title: Interpretable Machine Learning Models for the Digital Clock Drawing Test

abstract:
  The Clock Drawing Test (CDT) is a rapid, inexpensive, and popular
neuropsychological screening tool for cognitive conditions. The Digital Clock
Drawing Test (dCDT) uses novel software to analyze data from a digitizing
ballpoint pen that reports its position with considerable spatial and temporal
precision, making possible the analysis of both the drawing process and final
product. We developed methodology to analyze pen stroke data from these
drawings, and computed a large collection of features which were then analyzed
with a variety of machine learning techniques. The resulting scoring systems
were designed to be more accurate than the systems currently used by
clinicians, but just as interpretable and easy to use. The systems also allow
us to quantify the tradeoff between accuracy and interpretability. We created
automated versions of the CDT scoring systems currently used by clinicians,
allowing us to benchmark our models, which indicated that our machine learning
models substantially outperformed the existing scoring systems.


title: Mobile Converged Networks: Framework, Optimization and Challenges

abstract:
  In this paper, a new framework of mobile converged networks is proposed for
flexible resource optimization over multi-tier wireless heterogeneous networks.
Design principles and advantages of this new framework of mobile converged
networks are discussed. Moreover, mobile converged network models based on
interference coordination and energy efficiency are presented and the
corresponding optimization algorithms are developed. Furthermore, future
challenges of mobile converged networks are identified to promote the study in
modeling and performance analysis of mobile converged networks.


title: Modular data for the extended Haagerup subfactor

abstract:
  We compute the modular data (that is, the $S$ and $T$ matrices) for the
centre of the extended Haagerup subfactor. The full structure (i.e. the
associativity data, also known as 6-$j$ symbols or $F$ matrices) still appears
to be inaccessible. Nevertheless, starting with just the number of simple
objects and their dimensions (obtained by a combinatorial argument in
arXiv:1404.3955) we find that it is surprisingly easy to leverage knowledge of
the representation theory of $SL (2, \mathbb Z)$ into a complete description of
the modular data. We also investigate the possible character vectors associated
with this modular data.


title: 3D Display Calibration by Visual Pattern Analysis

abstract:
  Nearly all 3D displays need calibration for correct rendering. More often
than not, the optical elements in a 3D display are misaligned from the designed
parameter setting. As a result, 3D magic does not perform well as intended. The
observed images tend to get distorted. In this paper, we propose a novel
display calibration method to fix the situation. In our method, a pattern image
is displayed on the panel and a camera takes its pictures twice at different
positions. Then, based on a quantitative model, we extract all display
parameters (i.e., pitch, slanted angle, gap or thickness, offset) from the
observed patterns in the captured images. For high accuracy and robustness, our
method analyzes the patterns mostly in frequency domain. We conduct two types
of experiments for validation; one with optical simulation for quantitative
results and the other with real-life displays for qualitative assessment.
Experimental results demonstrate that our method is quite accurate, about a
half order of magnitude higher than prior work; is efficient, spending less
than 2 s for computation; and is robust to noise, working well in the SNR
regime as low as 6 dB.


title: Entangling two oscillators with arbitrary asymmetric initial states

abstract:
  A Hamiltonian is presented, which can be used to convert any asymmetric state
$|\varphi \rangle_{a}|\phi \rangle_{b}$ of two oscillators $a$ and $b$ into an
entangled state. Furthermore, with this Hamiltonian and local operations only,
two oscillators, initially in any asymmetric initial states, can be entangled
with a third oscillator. The prepared entangled states can be engineered with
an arbitrary degree of entanglement. A discussion on the realization of this
Hamiltonian is given. Numerical simulations show that, with current circuit QED
technology, it is feasible to generate high-fidelity entangled states of two
microwave optical fields, such as entangled coherent states, entangled squeezed
states, entangled coherent-squeezed states, and entangled cat states. Our
finding opens a new avenue for creating not only two-color or three-color
entanglement of light but also wave-like or particle-like entanglement or novel
wave-like and particle-like hybrid entanglement.


title:
Collective Modes in a Two-band Superfluid of Ultracold Alkaline-earth
  Atoms Close to an Orbital Feshbach Resonance

abstract:
  We discuss the collective modes in an alkaline-earth Fermi gas close to an
orbital Feshbach resonance. Unlike the usual Feshbach resonance, the orbital
Feshbach resonance in alkaline-earth atoms realizes a two-band superfluid
system where the fermionic nature of both the open and the closed channel has
to be taken into account. We show that apart from the usual Anderson-Bogoliubov
mode which corresponds to the oscillation of total density, there also appears
the long-sought Leggett mode corresponding to the oscillation of relative
density between the two channels. The existence of the phonon and the Leggett
modes and their evolution are discussed in detail. We show how these collective
modes are reflected in the density response of the system.


title: Full linear perturbations and localization of gravity on $f(R,T)$ brane

abstract:
  We study the thick brane world system constructed in the recently proposed
$f(R,T)$ theories of gravity, with $R$ the Ricci scalar and $T$ the trace of
the energy-momentum tensor. We try to get the analytic background solutions and
discuss the full linear perturbations, especially the scalar perturbations. We
compare how the brane world model is modified with that of general relativity
coupled to a canonical scalar field. It is found that some more interesting
background solutions are allowed, and only the scalar perturbation mode is
modified. There is no tachyon state exists in this model and only the massless
tensor mode can be localized on the brane, which recovers the effective
four-dimensional gravity. These conclusions hold provided that two constraints
on the original formalism of the action are satisfied.


title: Methods for Analyzing Pathways through a Physics Major

abstract:
  Physics Education Research frequently investigates what students studying
physics do on small time scales (e.g. single courses, observations within
single courses), or post-education time scales (e.g., what jobs do physics
majors get?) but there is little research into how students get from the
beginning to the end of a physics degree. Our work attempts to visualize
students paths through the physics major, and quantitatively describe the
students who take physics courses, receive physics degrees, and change degree
paths into and out of the physics program at Michigan State University.


title: KK graviton resonance and cascade decays in warped gravity

abstract:
  We consider the Kaluza-Klein (KK) graviton and its decays in the presence of
the light radion, the modulus of extra dimension, appearing naturally light due
to classical scale invariance in warped gravity. Due to the presence of a
sizable wavefunction overlap in the extra dimension between the KK graviton and
the radion, the KK graviton can decay largely into a pair of radions, each of
which decays into a pair of collimated photons or photon-jets. Focusing on the
setup where the KK graviton has suppressed couplings to the Higgs boson and
fermions, we discuss the bounds on the light radion in the parameter space
where the photon-jets are relevant. Moreover, we pursue the possibility of
distinguishing the scenario from the case with direct photon contributions by
the angular distributions of photons in the LHC Run 2. Roles of KK graviton and
radion as mediators of dark matter interactions, extensions with brane kinetic
terms and the model with a holographic composite Higgs are also addressed.


title:
Recent Results on Domain Decomposition Preconditioning for the
  High-frequency Helmholtz Equation using Absorption

abstract:
  In this paper we present an overview of recent progress on the development
and analysis of domain decomposition preconditioners for discretised Helmholtz
problems, where the preconditioner is constructed from the corresponding
problem with added absorption. Our preconditioners incorporate local
subproblems that can have various boundary conditions, and include the
possibility of a global coarse mesh. While the rigorous analysis describes
preconditioners for the Helmholtz problem with added absorption, this theory
also informs the development of efficient multilevel solvers for the "pure"
Helmholtz problem without absorption. For this case, 2D experiments for
problems containing up to about $50$ wavelengths are presented. The experiments
show iteration counts of order about $\mathcal{O}(n^{0.2})$ and times (on a
serial machine) of order about $\mathcal{O}(n^{\alpha})$, { with $\alpha \in
[1.3,1.4]$} for solving systems of dimension $n$. This holds both in the
pollution-free case corresponding to meshes with grid size
$\mathcal{O}(k^{-3/2})$ (as the wavenumber $k$ increases), and also for
discretisations with a fixed number of grid points per wavelength, commonly
used in applications. Parallelisation of the algorithms is also briefly
discussed.


title: On Relativistic Multipole Moments of Stationary Spacetimes

abstract:
  Among the known exact solutions of Einstein vacuum field equations the
Manko-Novikov and the Quevedo-Mashhoon metrics might be suitable ones for the
description of the exterior gravitational field of some real non-collapsed
body. A new proposal to represent such exterior field is the stationary
q-metric. In this contribution, we computed by means of the
Fodor-Hoenselaers-Perjes formalism the lowest ten relativistic multipole
moments of these metrics. Corresponding moments were derived for the static
vacuum solutions of Gutsunayev-Manko and Hernandez-Martin. A direct comparison
between the multipole moments of these non-isometric spacetimes is given.


title: Tau flavored dark matter and its impact on tau Yukawa coupling

abstract:
  In this paper we preform a systematic study of the tau flavored dark matter
model by introducing two kinds of mediators (a scalar doublet and a charged
scalar singlet). The electromagnetic properties of the dark matter, as well as
their implications in dark matter direct detections, are analyzed in detail.
The model turns out contributing a significant radiative correction to the tau
lepton mass, in addition to loosing the tension between the measured dark
matter relic density and constraints of dark matter direct detections. The loop
corrections can be ${\cal O}(10\%)$ of the total tau mass. Signal rates of the
Higgs measurements from the LHC in the $h\to\tau \tau$ and $h\to \gamma \gamma$
channels, relative to the Standard Model expectations, can be explained in this
model.


title: Topological susceptibility at high temperature on the lattice

abstract:
  QCD topological susceptibility at high temperature, $\chi_t(T)$, provides an
important input for the estimate of the axion abundance in the present
Universe. While the model independent determination of $\chi_t(T)$ should be
possible from the first principles using lattice QCD, existing methods fail at
high temperature, since not only the probability that non-trivial topological
sectors appear in the configuration generation process but also the local
topological fluctuations get strongly suppressed. We propose a novel method to
calculate the temperature dependence of topological susceptibility at high
temperature. A feasibility test is performed on a small lattice in the quenched
approximation, and the results are compared with the prediction of the dilute
instanton gas approximation. It is found that the method works well especially
at very high temperature and the result is consistent with the instanton
calculus down to $T\sim 2\, T_c$ within the statistical uncertainty.


title:
Secure MIMO Relaying Network: An Artificial Noise Aided Robust Design
  Approach

abstract:
  Owing to the vulnerability of relay-assisted and device-to-device (D2D)
communications, improving wireless security from a physical layer signal
processing perspective is attracting increasing interest. Hence we address the
problem of secure transmission in a relay-assisted network, where a pair of
legitimate user equipments (UEs) communicate with the aid of a multiple-input
multiple output (MIMO) relay in the presence of multiple eavesdroppers (eves).
Assuming imperfect knowledge of the eves' channels, we jointly optimize the
power of the source UE, the amplify-and-forward (AF) relaying matrix and the
covariance of the artificial noise (AN) transmitted by the relay, in order to
maximize the received signal-to-interference-plus-noise ratio (SINR) at the
destination, while imposing a set of robust secrecy constraints. To tackle the
resultant nonconvex optimization problem, a globally optimal solution based on
a bi-level optimization framework is proposed, but with high complexity. Then a
low-complexity sub-optimal method relying on a new penalized
difference-of-convex (DC) algorithmic framework is proposed, which is
specifically designed for non-convex semidefinite programs (SDPs). We show how
this penalized DC framework can be invoked for solving our robust secure
relaying problem with proven convergence. Our extensive simulation results show
that both proposed solutions are capable of ensuring the secrecy of the
relay-aided transmission and significantly improve the robustness towards the
eves' channel uncertainties as compared to the non-robust counterparts. It is
also demonstrated the penalized DC-based method advocated yields a performance
close to the globally optimal solution.


title: On the first $G_1$ stiff fluid spike solution in General Relativity

abstract:
  Using the Geroch transformation we obtain the first example of an exact stiff
fluid spike solution to the Einstein field equations in a closed form
exhibiting a spacelike $G_1$ group of symmetries (i.e., with a single
isometry). This new solution is of Petrov type I and exhibits a spike crossing
which persists to the past, which allows us to better understand spike
crossings in the context of structure formation.


title: The Elkies Curve has Rank 28 Subject only to GRH

abstract:
  In 2006, Elkies presented an elliptic curve with 28 independent rational
points. We prove that subject to GRH, this curve has Mordell-Weil rank equal to
28 and analytic rank at most 28. We prove similar results for a previously
unpublished curve of Elkies having rank 27. We also prove that subject to GRH,
certain specific elliptic curves have Mordell-Weil ranks 20, 21, 22, 23, and
24. This complements the work of Jonathan Bober, who proved this claim subject
to both the Birch and Swinnerton-Dyer rank conjecture and GRH. This gives some
new evidence that the Birch and Swinnerton-Dyer rank conjecture holds for
elliptic curves over Q of very high rank. Our results about Mordell-Weil ranks
are proven by computing the 2-ranks of class groups of cubic fields associated
to these elliptic curves. As a consequence, we also succeed in proving that,
subject to GRH, the class group of a particular cubic field has 2-rank equal to
22 and that the class group of a particular totally real cubic field has 2-rank
equal to 20.


title:
Asymptotic expansion based equation of state for hard-disk fluids
  offering accurate virial coefficients

abstract:
  Despite the fact that more that more than 30 analytical expressions for the
equation of state of hard-disk fluids have been proposed in the literature,
none of them is capable of reproducing the currently accepted numeric or
estimated values for the first eighteen virial coefficients. Using the
asymptotic expansion method, extended to the first ten virial coefficients for
hard-disk fluids, fifty-seven new expressions for the equation of state have
been studied. Of these, a new equation of state is selected which reproduces
accurately all the first eighteen virial coefficients. Comparisons for the
compressibility factor with computer simulations show that this new equation is
as accurate as other similar expressions with the same number of parameters.
Finally, the location of the poles of the 57 new equations shows that there are
some particular configurations which could give both the accurate virial
coefficients and the correct closest packing fraction in the future when higher
virial coefficients than the tenth are numerically calculated.


title: New Virial Equation of State for Hard-Disk Fluids

abstract:
  Although many equations of state of hard-disk fluids have been proposed, none
is capable of reproducing the currently calculated or estimated values of the
first eighteen virial coefficients at the same time as giving very good
accuracy when compared with computer simulation values for the compressibility
factor over the whole fluid range. A new virial-based expression is here
proposed which achieves these aims. For that, we use the fact that the
currently accepted estimated values for the highest virial coefficients behave
linearly with their order, and also that virial coefficients must have a
limiting behaviour that permits the closest packing limit in the
compressibility factor to be also adequately reproduced.


title: New Closed Virial Equation of State for Hard-Sphere Fluids

abstract:
  A new closed virial equation of state of hard-sphere fluids is proposed which
reproduces the calculated or estimated values of the first sixteen virial
coefficients at the same time as giving very good accuracy when compared with
computer simulation data for the compressibility factor over the entire fluid
range, and having a pole at the correct closest packing density.


title:
Equation of state for hard sphere fluids offering accurate virial
  coefficients

abstract:
  The asymptotic expansion method is extended by using currently available
accurate values for the first ten virial coefficients for hard sphere fluids.
It is then used to yield an equation of state for hard sphere fluids, which
accurately represents the currently accepted values for the first sixteen
virial coefficients and compressibility factor data in both the stable and the
metastable regions of the phase diagram.


title:
Boron Nitride Nanosheet Veiled Gold Nanoparticles for Surface Enhanced
  Raman Scattering

abstract:
  Atomically thin boron nitride (BN) nanosheets have many properties desirable
for surface enhanced Raman spectroscopy (SERS). BN nanosheets have a strong
surface adsorption capability towards airborne hydrocarbon and aromatic
molecules. For maximized adsorption area and hence SERS sensitivity, atomically
thin BN nanosheet covered gold nanoparticles have been prepared for the first
time. When placed on top of metal nanoparticles, atomically thin BN nanosheets
closely follow their contours so that the plasmonic hot spots are retained.
Electrically insulating BN nanosheets also act as a barrier layer to eliminate
metal-induced disturbance in SERS. Moreover, the SERS substrates veiled by BN
nanosheets show an outstanding reusability in the long term. As the result, the
sensitivity, reproducibility and reusability of SERS substrates can be greatly
improved. We also demonstrate that large BN nanosheets produced by chemical
vapor deposition can be used to scale up the proposed SERS substrate for
practical application.


title: The "Hard Problem" of Life

abstract:
  Chalmer's famously identified pinpointing an explanation for our subjective
experience as the "hard problem of consciousness". He argued that subjective
experience constitutes a "hard problem" in the sense that its explanation will
ultimately require new physical laws or principles. Here, we propose a
corresponding "hard problem of life" as the problem of how `information' can
affect the world. In this essay we motivate both why the problem of information
as a causal agent is central to explaining life, and why it is hard - that is,
why we suspect that a full resolution of the hard problem of life will, similar
to as has been proposed for the hard problem of consciousness, ultimately not
be reducible to known physical principles.


title: Horospheres in degenerate 3-manifolds

abstract:
  We study horospheres in hyperbolic 3-manifolds $M$ all whose ends are
degenerate. Towards this, we study which almost minimizing geodesics in $M$ go
through arbitrarily thin parts.


title: Supersymmetry Enhancement and Junctions in S-folds

abstract:
  We study supersymmetry enhancement from ${\cal N}=3$ to ${\cal N}=4$ proposed
by Aharony and Tachikawa by using string junctions in S-folds. The central
charges carried by junctions play a central role in our analysis. We consider
planer junctions in a specific plane. Before the S-folding they carry two
complex central charges, which we denote by $Z$ and $\bar Z$. The S-fold
projection eliminates $\bar Z$ as well as one of the four supercharges, and
when the supersymmetry is enhanced $\bar Z$ should be reproduced by some
non-perturbative mechanism. For the models of $\mathbb{Z}_3$ and $\mathbb{Z}_4$
S-folds which are expected to give $SU(3)$ and $SO(5)$ ${\cal N}=4$ theories we
compare the junction spectra with those in perturbative brane realization of
the same theories. We establish one-to-one correspondence so that $Z$
coincides. By using the correspondence we also give an expression for the
enhanced central charge $\bar Z$.


title:
Connection coefficients and monodromy representations for a class of
  Okubo systems of ordinary differential equations

abstract:
  In this paper, we determine the connection coefficients for Okubo's canonical
solution matrix of types ${\rm I}$, ${\rm I}^*$, ${\rm II}$ and ${\rm III}$ in
Yokoyama's list.To solve these problems, we investigate a special type of Katz
operations for Okubo systems. These operations are used for explicit
constructing Okubo systems and their monodromy representations We construct
Okubo system and monodromy representations. We further apply their results to
the connection problem for canonical solution matrices.


title: Selective Term Proximity Scoring Via BP-ANN

abstract:
  When two terms occur together in a document, the probability of a close
relationship between them and the document itself is greater if they are in
nearby positions. However, ranking functions including term proximity (TP)
require larger indexes than traditional document-level indexing, which slows
down query processing. Previous studies also show that this technique is not
effective for all types of queries. Here we propose a document ranking model
which decides for which queries it would be beneficial to use a proximity-based
ranking, based on a collection of features of the query. We use a machine
learning approach in determining whether utilizing TP will be beneficial.
Experiments show that the proposed model returns improved rankings while also
reducing the overhead incurred as a result of using TP statistics.


title: Gender and Interest Targeting for Sponsored Post Advertising at Tumblr

abstract:
  As one of the leading platforms for creative content, Tumblr offers
advertisers a unique way of creating brand identity. Advertisers can tell their
story through images, animation, text, music, video, and more, and promote that
content by sponsoring it to appear as an advertisement in the streams of Tumblr
users. In this paper we present a framework that enabled one of the key
targeted advertising components for Tumblr, specifically gender and interest
targeting. We describe the main challenges involved in development of the
framework, which include creating the ground truth for training gender
prediction models, as well as mapping Tumblr content to an interest taxonomy.
For purposes of inferring user interests we propose a novel semi-supervised
neural language model for categorization of Tumblr content (i.e., post tags and
post keywords). The model was trained on a large-scale data set consisting of
6.8 billion user posts, with very limited amount of categorized keywords, and
was shown to have superior performance over the bag-of-words model. We
successfully deployed gender and interest targeting capability in Yahoo
production systems, delivering inference for users that cover more than 90% of
daily activities at Tumblr. Online performance results indicate advantages of
the proposed approach, where we observed 20% lift in user engagement with
sponsored posts as compared to untargeted campaigns.


title:
Topologically protected pure helicity cascade in non-Abelian quantum
  turbulence

abstract:
  By numerically studying non-Abelian quantum turbulence, we find that the
helicity cascade and the inverse energy cascade are topologically protected
against reconnection of vortices and lead to the energy spectrum $E(k) \propto
k^{-7/3}$ for a large-scale energy injection and $E(k) \propto k^{-5/3}$ for a
small-scale energy injection with a large-scale web of non-Abelian vortices.
Our prediction can be tested in the cyclic phase of a spin-2 spinor
Bose-Einstein condensate.


title:
Statistical analysis of the limitation of half integer resonances on the
  available momentum acceptance of a diffraction-limited storage ring

abstract:
  In a diffraction-limited storage ring (DLSR), the momentum acceptance (MA)
might be limited by the half integer resonances (HIRs) excited by focusing
errors, associated with the large detuning terms from the strong focusing and
strong sextupoles required for an ultralow emittance. Taking the High Energy
Photon Source (HEPS) as an example and through statistical analysis, we found
that the horizontal HIRs have stronger impact on dynamics than the vertical
ones; and the probability of MA reduction caused by a HIR is closely correlated
with the level of the beta beats at the same plane, but independent of the
error sources. For the HEPS design, to reach a small MA-reduction probability
of about 1%, the rms amplitude of the beta beats at the nominal tunes should be
kept below 1.5% horizontally and 2.5% vertically. The presented analysis can
provide useful reference for other DLSR designs.


title:
Morphological evolution of cluster red sequence galaxies in the past 9
  Gyr

abstract:
  Galaxies arrive on the red sequences of clusters at high redshift ($z>1$)
once their star formation is quenched and evolve passively thereafter. However,
we have previously found that cluster red sequence galaxies (CRSGs) undergo
significant morphological evolution subsequent to the cessation of star
formation, at some point in the past 9-10~Gyr. Through a detailed study of a
large sample of cluster red sequence galaxies spanning $0.2<z<1.4$ we elucidate
the details of this evolution. Below $z \sim 0.5-0.6$ (in the last 5-6 Gyr)
there is little or no morphological evolution in the population as a whole,
unlike in the previous 4-5 Gyrs. Over this earlier time (i) disk-like systems
with S{\'e}rsic $n < 2$ progressively disappear, as (ii) the range of their
axial ratios similarly decreases, removing the most elongated systems (those
consistent with thin disks seen at an appreciable inclination angle), and (iii)
radial colour gradients (bluer outwards) decrease in an absolute sense from
significant age-related gradients to a residual level consistent with the
metallicity-induced gradients seen in low redshift cluster members. The
distribution of their effective radii shows some evidence of evolution,
consistent with growth of {\it at most} a factor $<1.5$ between $z\sim 1.4$ and
$z \sim 0.5$, significantly less than for comparable field galaxies, while the
distribution of their central ($<1$kpc) bulge surface densities shows no
evolution at least at $z<1$. A simple model involving the fading and thickening
of a disk component after comparatively recent quenching (after $z\sim 1.5$)
around an otherwise passively evolving older spheroid component is consistent
with all of these findings.


title:
A Unified Model for GRB Prompt Emission from Optical to $\gamma$-Rays:
  Exploring GRBs as Standard Candles

abstract:
  The origin of prompt emission from gamma ray bursts remains to be an open
question. Correlated prompt optical and gamma-ray emission observed in a
handful of GRBs strongly suggests a common emission region, but failure to
adequately fit the broadband GRB spectrum prompted the hypothesis of different
emission mechanisms for the low- and high-energy radiations. We demonstrate
that our multi-component model for GRB gamma-ray prompt emission provides an
excellent fit to GRB 110205A from optical to gamma-ray energies. Our results
show that the optical and highest gamma-ray emissions have the same spatial and
spectral origin, which is different from the bulk of the X- and softest
gamma-ray radiation. Finally, our accurate redshift estimate for GRB 110205A
demonstrates promise for using GRBs as cosmological standard candles.


title:
Construction of action for heterotic string field theory including the
  Ramond sector

abstract:
  Extending the formulation for open superstring field theory given in
arXiv:1508.00366, we attempt to construct a complete action for heterotic
string field theory. The action is non-polynomial in the Ramond string field
Psi, and we construct it order by order in Psi. Using a dual formulation in
which the role of eta and Q is exchanged, the action is explicitly obtained at
the quadratic and quartic order in Psi with the gauge transformations.


title:
An Accretion Disc-Irradiation Hybrid Model for The Optical/UV
  Variability in Radio-Quiet Quasars

abstract:
  The optical/ultraviolet (UV) variability of quasars has been discovered to be
correlated with other quasar properties, such as luminosity, black hole mass
and rest-frame wavelength. However,the origin of variability has been a puzzle
so far. In this work, we upgrade the accretion disc model (Li & Cao 2008),
which assumed the variability is caused by the change of global mass accretion
rate, by constraining the disc size to match the viscous timescale of accretion
disc to the variability timescale observed and by including the
irradiation/X-ray reprocessing to make the emitted spectrum become steeper. We
find this hybrid model can reproduce the observed bluer-when-brighter trend
quite well, which is used to validate the theoretical model by several works
recently. The traditional correlation between the variability amplitude and
rest-frame wavelength can also be well fitted by our model. In addition, a weak
positive correlation between variability amplitude and black hole mass is
present, qualitatively consistent with recent observations.


title: Genus-minimal crystallizations of PL 4-manifolds

abstract:
  For $d\geq 2$, the regular genus of a closed connected PL $d$-manifold $M$ is
the least genus (resp., half of the genus) of an orientable (resp., a
non-orientable) surface into which a crystallization of $M$ imbeds regularly.
The regular genus of every orientable surface equals its genus, and the regular
genus of every 3-manifold equals its Heegaard genus. For every closed connected
PL $4$-manifold $M$, it is known that its regular genus $\mathcal G(M)$ is at
least $2 \chi (M) + 5m -4$, where $m$ is the rank of the fundamental group of
$M$. In this article, we introduce the concept of "weak semi-simple
crystallization" for every closed connected PL $4$-manifold $M$, and prove that
$\mathcal G(M)= 2 \chi (M) + 5m -4$ if and only if $M$ admits a weak
semi-simple crystallization. We then show that the PL invariant regular genus
is additive under the connected sum within the class of all PL 4-manifolds
admitting a weak semi-simple crystallization. Also, we note that this property
is related to the 4-dimensional Smooth Poincar\'e Conjecture.


title:
On Energy Efficiency of the Nearest-Neighbor Cooperative Communication
  in Heterogeneous Networks

abstract:
  In this paper, we consider a two-dimensional heterogeneous cellular network
scenario consisting of one base station (BS) and some mobile stations (MSs)
whose locations follow a Poisson point process (PPP). The MSs are equipped with
multiple radio access interfaces including a cellular access interface and at
least one short-range communication interface. We propose a nearest-neighbor
cooperation communication (NNCC) scheme by exploiting the short-range
communication between a MS and its nearest neighbor to collaborate on their
uplink transmissions. In the proposed cooperation scheme, a MS and its nearest
neighbor first exchange data by the short-range communication. Upon successful
decoding of the data from each other, they proceed to send their own data, as
well as the data received from the other to the BS respectively in orthogonal
time slots. The energy efficiency analysis for the proposed scheme is presented
based on the characteristics of the PPP and the Rayleigh fading channel.
Numerical results show that the NNCC scheme significantly improves the energy
efficiency compared to the conventional non-cooperative uplink transmissions.


title: On Improving Capacity of Full-Duplex Small Cells with D2D

abstract:
  The recent developments in full duplex (FD) communication promise doubling
the capacity of cellular networks using self interference cancellation (SIC)
techniques. FD small cells with device-to-device (D2D) communication links
could achieve the expected capacity of the future cellular networks (5G). In
this work, we consider joint scheduling and dynamic power algorithm (DPA) for a
single cell FD small cell network with D2D links (D2DLs). We formulate the
optimal user selection and power control as a non-linear programming (NLP)
optimization problem to get the optimal user scheduling and transmission power
in a given TTI. Our numerical results show that using DPA gives better overall
throughput performance than full power transmission algorithm (FPA). Also,
simultaneous transmissions (combination of uplink (UL), downlink (DL), and D2D
occur 80% of the time thereby increasing the spectral efficiency and network
capacity.


title: Extensive increase of entropy in quantum quench

abstract:
  In the setup of isolated quantum systems, it is proved that the thermodynamic
entropy and the diagonal entropy must increase extensively in any nontrivial
quantum quench. The extensive increase of the thermodynamic entropy is shown
for any initial state (even for a pure state) that represents thermal
equilibrium. On the other hand, the extensive increase of the diagonal entropy
is shown for any stationary initial state under the condition that both the
pre-quench and the post-quench Hamiltonians satisfy the eigenstate
thermalization hypothesis.


title:
Spherical-shell boundaries for two-dimensional compressible convection
  in a star

abstract:
  Context: We study the impact of two-dimensional spherical shells on
compressible convection. Realistic profiles for density and temperature from a
one-dimensional stellar evolution code are used to produce a model of a large
stellar convection zone representative of a young low-mass star.
  Methods: We perform hydrodynamic implicit large-eddy simulations of
compressible convection using the MUltidimensional Stellar Implicit Code
(MUSIC). Because MUSIC has been designed to use realistic stellar models
produced from one-dimensional stellar evolution calculations, MUSIC simulations
are capable of seamlessly modeling a whole star. Simulations in two-dimensional
spherical shells that have different radial extents are performed over hundreds
of convective turnover times, permitting the collection of well-converged
statistics.
  Results: We evaluate basic statistics of the convective turnover time, the
convective velocity, and the overshooting layer. These quantities are selected
for their relevance to one-dimensional stellar evolution calculations, so that
our results are focused toward the 321D link. The inclusion in the spherical
shell of the boundary between the radiative and convection zones decreases the
amplitude of convective velocities in the convection zone. The inclusion of
near-surface layers in the spherical shell can increase the amplitude of
convective velocities, although the radial structure of the velocity profile
established by deep convection is unchanged. The impact from including the
near-surface layers depends on the speed and structure of small-scale
convection in the near-surface layers. Larger convective velocities in the
convection zone result in a commensurate increase in the overshooting layer
width and decrease in the convective turnover time. These results provide
support for non-local aspects of convection.


title: Hyperinvariant, characteristic and marked subspaces

abstract:
  Let $V$ be a finite dimensional vector space over a field $K$ and $f$ a
$K$-endomorphism of $V$. In this paper we study three types of $f$-invariant
subspaces, namely hyperinvariant subspaces, which are invariant under all
endomorphisms of $V$ that commute with $f$, characteristic subspaces, which
remain fixed under all automorphisms of $V$ that commute with $f$, and marked
subspaces, which have a Jordan basis (with respect to $f_{|X}$) that can be
extended to a Jordan basis of $V$. We show that a subspace is hyperinvariant if
and only if it is characteristic and marked. If $K$ has more than two elements
then each characteristic subspace is hyperinvariant.


title: Operators on the Banach space of $p$-continuous vector-valued functions

abstract:
  Let $X$, $Y$, and $Z$ be Banach spaces, and let $\alpha$ be a tensor norm.
Let a bounded linear operator $S\in\mathcal{L}(Z,\mathcal{L}(X,Y))$ be given.
We obtain (necessary and/or sufficient) conditions for the existence of an
operator $U\in\mathcal{L}(Z\hat{\otimes}_{\alpha}X,Y)$ such that $(Sz)x =
U(z\otimes x)$, for all $z\in Z$ and $x\in X$, i.e., $S= U^{#}$, the associated
operator to $U$. Let $\Omega$ be a compact Hausdorff space and denote by
$\mathcal{C}(\Omega)$ the space of continuous functions from $\Omega$ into
$\mathbb{K}$. We apply these results to
$S\in\mathcal{L}(\mathcal{C}(\Omega),\mathcal{L}(X, Y))$ for characterizing the
existence of an operator $U\in\mathcal{L}(\mathcal{C}_{p}(\Omega,X),Y)$ such
that $U^{#}=S$, where $\mathcal{C}_{p}(\Omega,X)$ is the space of
$p$-continuous $X$-valued functions, $1\leq p \leq \infty$.


title:
Inversion of ferrimagnetic magnetization by ferroelectric switching via
  a novel magnetoelectric coupling

abstract:
  Although several multiferroic materials/heterostructures have been
extensively studied, finding strong magnetoelectric couplings for the electric
field control of the magnetization remains challenging. Here, a novel
interfacial magnetoelectric coupling based on three components (ferroelectric
dipole, magnetic moment, and antiferromagnetic order) is analytically
formulated. As an extension of carrier-mediated magnetoelectricity, the new
coupling is shown to induce an electric-magnetic hysteresis loop. Realizations
employing BiFeO$_3$ bilayers grown along the [$111$] axis are proposed. Without
involving magnetic phase transitions, the magnetization orientation can be
switched by the carrier modulation driven by the field effect, as confirmed
using first-principles calculations.