title:
Similarity transformation for equilibrium flows, including effects of
  blowing and suction

abstract:
  A similarity transformation for the mean velocity profiles is obtained in
sink flow turbulent boundary layers (TBL), including effects of blowing and
suction. It is based on symmetry analysis which transforms the governing
partial differential equations (for mean mass and momentum) into an ordinary
differential equation and yields a new result including an exact, linear
relation between the mean normal ($V$) and streamwise ($U$) velocities. A
characteristic length is further introduced which, under a first order
expansion in wall blowing/suction velocity, leads to the similarity
transformation for $U$. This transformation is shown to be a group invariant
under a generalized symmetry analysis and maps different $U$ profiles under
different blowing/suction conditions into a (universal) profile under no
blowing/suction. Its inverse transformation enables predictions of all mean
quantities in the mean mass and momentum equations - $U$, $V$ and the Reynolds
shear stress - in good agreement with direct numerical simulation (DNS) data.


title: JIMWLK evolution of the odderon

abstract:
  We study the effects of a parity-odd "odderon" correlation in JIMWLK
renormalization group evolution at high energy. Firstly we show that in the
eikonal picture where the scattering is described by Wilson lines, one obtains
a strict mathematical upper limit for the magnitude of the odderon amplitude
compared to the parity even pomeron one. This limit increases with N_c,
approaching infinity in the infinite N_c limit. We use a systematic extension
of the Gaussian approximation including both 2- and 3-point correlations which
enables us to close the system of equations even at finite N_c. In the
large-N_c limit we recover an evolution equation derived earlier. By solving
this equation numerically we confirm that the odderon amplitude decreases
faster in the nonlinear case than in the linear BFKL limit. We also point out
that, in the 3-point truncation at finite N_c, the presence of an odderon
component introduces azimuthal angular correlations ~ cos(n phi) at all n.


title: Harbourne, Schenck and Seceleanu's Conjecture

abstract:
  In [HSS], Conjecture 5.5.2, Harbourne, Schenck and Seceleanu conjectured
that, for $r=6$ and all $r\ge 8$, the artinian ideal $I=(\ell _1^2,\dots
,l_{r+1}^2)\subset K[x_1, \dots ,x_r]$ generated by the square of $r+1$ general
linear forms $\ell _{i}$ fails the Weak Lefschetz property. This paper is
entirely devoted to prove this Conjecture. It is worthwhile to point out that
half of the Conjecture - namely, the case when the number of variables $r$ is
even - was already proved in [mmn], Theorem 6.1.


abstract:
  By exploiting a link between Bergman orthogonal polynomials and the Grunsky
matrix, probably first observed by K{\"u}hnau in 1985, we improve some recent
results on strong asymptotics of Bergman polynomials outside the domain G of
orthogonality, and on entries of the Bergman shift operator. In our proofs we
suggest a new matrix approach involving the Grunsky matrix, and use
well-established results in the literature relating properties of the Grunsky
matrix to the regularity of the boundary of G, and the associated conformal
maps. For quasiconformal boundaries, this approach allows for new insights for
Bergman polynomials.


title:
Octant Degeneracy, Quadrant of leptonic CPV phase at Long Baseline
  Neutrino Experiments and Baryogenesis

abstract:
  In a recent work by us, we have studied, how CP violation discovery potential
can be improved at long baseline neutrino experiments (LBNE/DUNE), by combining
with its ND (near detector) and reactor experiments. In this work, we discuss
how this study can be further analysed to resolve entanglement of the quadrant
of leptonic CPV phase and Octant of atmospheric mixing angle $ \theta_{23} $,
at LBNEs. The study is done for both NH (Normal hierarchy) and IH (Inverted
hierarchy), HO (Higher Octant) and LO (Lower Octant). We show how baryogenesis
can enhance the effect of resolving this entanglement, and how possible values
of the leptonic CP-violating phase $ \delta_{CP} $ can be predicted in this
context. With respect to the latest global fit data of neutrino mixing angles,
we predict the values of $ \delta_{CP} $ for different cases. In this context
we present favoured values of $ \delta_{CP} $ ($ \delta_{CP} $ range at $ \geq
$ 2$ \sigma $ ) constrained by the latest updated BAU range and also confront
our predictions of $ \delta_{CP} $ with an up-to-date global analysis of
neutrino oscillation data. We find that some region of the favoured $
\delta_{CP} $ parameter space lies within the best fit values around $
\delta_{CP} \simeq 1.3\pi-1.4 \pi $. A detailed analytic and numerical study of
baryogenesis through leptogenesis is performed in this framework in a model
independent way.


title: Global Entropy Solutions to Weakly Nonlinear Gas Dynamics

abstract:
  Entropy weak solutions with bounded periodic initial data are considered for
the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme,
an approximate solution sequence is constructed, and then a priori estimates
are provided with the methods of approximate characteristics and approximate
conservation laws, which gives not only the existence and uniqueness but also
the uniform total variation bounds for the entropy solutions.


title:
Numerical Simulation of Multi-phase Flow in Porous Media on Parallel
  Computers

abstract:
  A parallel reservoir simulator has been developed, which is designed for
large-scale black oil simulations. It handles three phases, including water,
oil and gas, and three components, including water, oil and gas. This simulator
can calculate traditional reservoir models and naturally fractured models.
Various well operations are supported, such as water flooding, gas flooding and
polymer flooding. The operation constraints can be fixed bottom-hole pressure,
a fixed fluid rate, and combinations of them. The simulator is based on our
in-house platform, which provides grids, cell-centred data, linear solvers,
preconditioners and well modeling. The simulator and the platform use MPI for
communications among computation nodes. Our simulator is capable of simulating
giant reservoir models with hundreds of millions of grid cells. Numerical
simulations show that our simulator matches with commercial simulators and it
has excellent scalability.


title:
$\gamma$-ray emission signals in the massive graviton mediated dark
  matter model

abstract:
  Dark matter may interact with Standard Model (SM) particle through the
exchange of a massive spin-2 graviton producing signals that can be detected.
In this work we examine the $\gamma$-ray emission signals, including the line
emission and the continuous spectrum component in such a massive
graviton-mediated dark matter model. The constraints of LHC data, dark matter
relic density as well as the dark matter indirect detection data have been
applied to narrow down the parameter space. We focus on the vector dark matter
model which could produce detectable $\gamma$-ray line signal. It is found that
the $\gamma$-ray line data is effective on constraining the model parameters
and the ongoing and upcoming space or ground-based $\gamma$-ray experiments can
constrain the model further.
  As for the continuous $\gamma$-ray emission, the total effective annihilation
cross section is $\sim 10^{-26} {\rm cm^{3}~s^{-1}}$ except at the region where
dark matter mass is around the graviton mass or half of it, which is consistent
with current observational data and will be reliably probed by the upcoming
CTA.


title: A characterization of almost alternating knot

abstract:
  Generalizing Howie and Greene's characterization of alternating knots, we
give a topological characterization of almost alternating knots.


title: On Landau-Zener transitions for dephasing Lindbladians

abstract:
  We consider a driven open system whose evolution is described by a
Lindbladian. The Lindbladian is assumed to be dephasing and its Hamiltonian
part to be given by the Landau-Zener Hamiltonian. We derive a formula for the
transition probability which, unlike previous results, extends the Landau-Zener
formula to open systems.


title: Pomeron inspired Neutrino-nucleon Cross Section in Ultra High Energy

abstract:
  Studies on neutrino-nucleon ($\nu N$) cross sections at different energy
scales have regained interest due to increasing importance of precision
measurements, as they are needed as an ingredient in all neutrino experiments.
In this paper we have calculated both charged current (CC) and neutral current
(NC) $\nu$N scattering cross sections at Ultra High Energy (UHE) regime in the
neutrino energy ($E_{\nu}$) region i.e. $10^{9} GeV \le E_{\nu} \le 10^{12}$
GeV using QCD inspired double asymptotic limit fit of electron-proton structure
function $F_{2}^{ep}$ to low $\mathit{x}$ HERA data. The form $F_{2}^{ep} \sim
x^{-\lambda(Q^{2})}$ used in our analysis, can be conjectured like a dynamic
pomeron (DP)-type behaviour. We also find an analytic form of the total cross
sections, $\sigma_{CC}^{\nu N}$ and $\sigma_{NC}^{\nu N}$ which appear to be of
hard-pomeron exchange types. A comparative analysis of our results with those
available in literature is also done. An improved understanding of $\nu N$
interactions at UHE are essentially important for future oscillation
experiments. Future measurements will support/confront our predictions.
\textbf{Keywords}: Neutrino cross section, Ultra High Energy, QCD, Double
Asymptotic limit, dynamic pomeron, hard-pomeron.


title: Mining Software Components from Object-Oriented APIs

abstract:
  Object-oriented Application Programing Interfaces (APIs) support software
reuse by providing pre-implemented functionalities. Due to the huge number of
included classes, reusing and understanding large APIs is a complex task.
Otherwise, software components are admitted to be more reusable and
understandable entities than object-oriented ones. Thus, in this paper, we
propose an approach for reengineering object-oriented APIs into component-based
ones. We mine components as a group of classes based on the frequency they are
used together and their ability to form a quality-centric component. To
validate our approach, we experimented on 100 Java applications that used
Android APIs.


title:
Creation of two-photon states via interactions between Rydberg atoms
  during light storage

abstract:
  We propose a new method to create two-photon states in a controllable way
using interaction between the Rydberg atoms during the storage and retrieval of
slow light. A distinctive feature of the suggested procedure is that the slow
light is stored into a superposition of two atomic coherences under conditions
of electromagnetically induced transparency (EIT). Interaction between the
atoms during the storage period creates entangled pairs of atoms in a
superposition state that is orthogonal to the initially stored state. Restoring
the slow light from this new atomic state one can produce a two photon state
with a second-order correlation function determined by the atom-atom
interaction and the storage time. Therefore the measurement of the restored
light allows one to probe the atom-atom coupling by optical means with a
sensitivity that can be increased by extending the storage time. As a
realization of this idea we consider a many-body Ramsey-type technique which
involves pi/2 pulses creating a superposition of Rydberg states at the
beginning and the end of the storage period. In that case the regenerated light
is due to the resonance dipole-dipole interaction between the atoms in the
Rydberg states.


title:
Presentations for rook partition monoids and algebras and their singular
  ideals

abstract:
  We obtain several presentations by generators and relations for the rook
partition monoids and algebras, as well as their singular ideals. Among other
results, we also calculate the minimal sizes of generating sets (some of our
presentations use such minimal-size generating sets), and show that the
singular part of the rook partition monoid is generated by its idempotents.


title: Percolation model with an additional source of disorder

abstract:
  The ranges of transmission of the mobiles in a Mobile Ad-hoc Network are not
uniform in reality. They are affected by the temperature fluctuation in air,
obstruction due to the solid objects, even the humidity difference in the
environment, etc. How the varying range of transmission of the individual
active elements affects the global connectivity in the network may be an
important practical question to ask. Here a new model of percolation phenomena,
with an additional source of disorder, has been introduced for a theoretical
understanding of this problem. As in ordinary percolation, sites of a square
lattice are occupied randomly with the probability $p$. Each occupied site is
then assigned a circular disc of random value $R$ for its radius. A bond is
defined to be occupied if and only if the radii $R_1$ and $R_2$ of the discs
centered at the ends satisfy certain pre-defined condition. In a very general
formulation, one divides the $R_1 - R_2$ plane into two regions by an arbitrary
closed curve. One defines that a point within one region represents an occupied
bond, otherwise it is a vacant bond. Study of three different rules under this
general formulation, indicates that the percolation threshold is always larger
and varies continuously. This threshold has two limiting values, one is
$p_c$(sq), the percolation threshold for the ordinary site percolation on the
square lattice and the other being unity. The variation of the thresholds are
characterized by exponents, which are not known in the literature. In a special
case, all lattice sites are occupied by discs of random radii $R \in \{0,R_0\}$
and a percolation transition is observed with $R_0$ as the control variable,
similar to the site occupation probability.


title: Properties of microlensing events by wide separation planets with a moon

abstract:
  We investigate the properties of microlensing events caused by planetary
systems where planets with a moon are widely separated from their host stars.
From this investigation, we find that the moon feature generally appears as an
very short-duration perturbation on the smooth asymmetric light curve of the
lensing event induced by the wide separation planet; thus it can be easily
discriminated from the planet feature responsible for the overall asymmetric
light curve. For typical Galactic lensing events with the Einstein radius of
$\sim 2$ AU, the asymmetry of the light curves due to bound planets can be
noticed up to $\sim 20$AU. We also find that the perturbations of the wide
planetary systems become dominated by the moon as the projected star-planet
separation increases, and eventually the light curves of events produced by the
systems appear as the single lensing light curve of the planet itself with a
very short-duration perturbation induced by the moon, which is a representative
light curve of the event induced by a star and a planet, except on the Einstein
timescale of the planet. We also study the effect of a finite source star on
the moon feature in the wide planetary lensing events. From this study, we find
that when the lunar caustic is sufficiently separated from the planetary
caustic, the lower limit on the ratio of the lunar caustic size to the source
radius causing a $\geq 5\%$ lunar deviation depends mostly on the projected
planet-moon separation regardless of the moon/star mass ratio, and it decreases
as the planet-moon separation becomes smaller or larger than the planetary
Einstein radius.


title: Zonal-mean circulation response to reduced air-sea momentum roughness

abstract:
  The impact of uncertainties in surface layer physics on the atmospheric
general circulation is comparatively unexplored. Here the sensitivity of the
zonal-mean circulation to reduced air-sea momentum roughness ($Z_{0m}$) at low
flow speed is investigated with the Community Atmosphere Model (CAM3). In an
aquaplanet framework with prescribed sea surface temperatures, the response to
reduced $Z_{0m}$ resembles the La Ni$\tilde{\text{n}}$a minus El
Ni$\tilde{\text{n}}$o response to El Ni$\tilde{\text{n}}$o Southern Oscillation
variability with: i) a poleward shift of the mid-latitude westerlies extending
all the way to the surface; ii) a weak poleward shift of the subtropical
descent region; and iii) a weakening of the Hadley circulation, which is
generally also accompanied by a poleward shift of the inter-tropical
convergence zone (ITCZ) and the tropical surface easterlies. Mechanism-denial
experiments show this response to be initiated by the reduction of tropical
latent and sensible heat fluxes, effected by reducing $Z_{0m}$. The circulation
response is elucidated by considering the effect of the tropical energy fluxes
on the Hadley circulation strength, the upper tropospheric critical layer
latitudes, and the lower-tropospheric baroclinic eddy forcing. The ITCZ shift
is understood via moist static energy budget analysis in the tropics. The
circulation response to reduced $Z_{0m}$ carries over to more complex setups
with seasonal cycle, full complexity of atmosphere-ice-land-ocean interaction,
and a slab ocean lower boundary condition. Hence, relatively small changes in
the surface parameterization parameters can lead to a significant circulation
response.


title: Circulator based on spoof surface plasmon polaritons

abstract:
  Circulators based on spoof surface plasmon polaritons are designed and
analyzed. In the letter, we use blade structure to realize the propagation of
SSPPs wave and a matching transition is used to feed energy from coplanar
waveguide to the SSPPs. And the circulator shows good nonreciprocal
transmission characteristics. The simulation results indicate that in the
frequency band from 5 to 6.6 GHz, the isolation degree and return loss
basically reaches 15dB and the insertion loss is less than 0.5dB. Moreover, the
use of confinement electromagnetic waves can decrease the size of the ferrite
and show a broadband characteristic.


title:
Octave-spanning supercontinuum generation in a silicon-rich nitride
  waveguide

abstract:
  We experimentally show octave-spanning supercontinuum generation in a
non-stoichiometric silicon-rich nitride waveguide when pumped by femtosecond
pulses from an erbium fiber laser. The pulse energy and bandwidth are
comparable to results achieved in stoichiometric silicon nitride waveguides,
but our material platform is simpler to manufacture. We also observe
wave-breaking supercontinuum generation by using orthogonal pumping in the same
waveguide. Additional analysis reveals that the waveguide height is a powerful
tuning parameter for generating mid-infrared dispersive waves while keeping the
pump in the telecom band.


title: Fixed Point Algebras for Easy Quantum Groups

abstract:
  Compact matrix quantum groups act naturally on Cuntz algebras. The first
author isolated certain conditions under which the fixed point algebras under
this action are Kirchberg algebras. Hence they are completely determined by
their $K$-groups. Building on prior work by the second author, we prove that
free easy quantum groups satisfy these conditions and we compute the $K$-groups
of their fixed point algebras in a general form. We then turn to examples such
as the quantum permutation group $S_n^+$, the free orthogonal quantum group
$O_n^+$ and the quantum reflection groups $H_n^{s+}$. Our fixed point-algebra
construction provides concrete examples of free actions of free orthogonal easy
quantum groups, which are related to Hopf-Galois extensions.


title:
Particle-number conserving analysis of the high-spin structure of
  $^{159}$Ho

abstract:
  The high-spin rotational bands in odd-$Z$ nuclei $^{159}$Ho ($Z=67$) are
investigated using the cranked shell model with the pairing correlations
treated by a particle-number conserving method, in which the blocking effects
are taken into account exactly. The experimental moments of inertia and
alignments and their variations with the rotational frequency $\hbar\omega$ are
reproduced very well by the calculations. The splitting between the signature
partners of the yrast band $7/2^-[523]$ is discussed and the splitting of the
excited band $7/2^+[404]$ above $\hbar\omega \sim 0.30$~MeV is predicted due to
the level crossing with $1/2^+[411]$. The calculated $B(E2)$ transition
probabilities are also suggested for future experiments.


title: Geometric calibration of the SND detector electromagnetic calorimeter

abstract:
  This paper presents the design, implementation and validation of the software
alignment procedure used to perform geometric calibration of the
electromagnetic calorimeter with respect to the tracking system of the SND
detector which is taking data at the VEPP-2000 e^{+}e^{-}collider (BINP,
Novosibirsk). This procedure is based on the mathematical model describing the
relative calorimeter position. The parameter values are determined by
minimizing a \chi^{2} function using the difference between particle directions
reconstructed in these two subdetectors for e^{+}e^{-}\rightarrow e^{+}e^{-}
scattering events. The results of the calibration applied to data and MC
simulation fit the model well and give an improvement in particle
reconstruction. They are used in data reconstruction and MC simulation.


title:
Parametrically tunable soliton-induced resonant radiation by three-wave
  mixing

abstract:
  We show that a temporal soliton can induce resonant radiation by three-wave
mixing nonlinearities. This constitutes a new class of resonant radiation whose
spectral positions are parametrically tunable. The experimental verification is
done in a periodically poled lithium niobate crystal, where a femtosecond
near-IR soliton is excited and resonant radiation waves are observed exactly at
the calculated soliton phase-matching wavelengths via the sum- and
difference-frequency generation nonlinearities. This extends the supercontinuum
bandwidth well into the mid-IR to span 550-5000 nm and the mid-IR edge is
parametrically tunable over 1000 nm by changing the three-wave mixing
phase-matching condition. The results are important for bright and broadband
supercontinuum generation and for frequency comb generation in quadratic
nonlinear microresonators.


title:
Investigation of the two-quasiparticle bands in the doubly-odd nucleus
  $^{166}$Ta using a particle-number conserving cranked shell model

abstract:
  The high-spin rotational properties of two-quasiparticle bands in the
doubly-odd ${}^{166}$Ta are analyzed using the cranked shell model with pairing
correlations treated by a particle-number conserving method, in which the
blocking effects are taken into account exactly. The experimental moments of
inertia and alignments and their variations with the rotational frequency
$\hbar\omega$ are reproduced very well by the particle-number conserving
calculations, which provides a reliable support to the configuration
assignments in previous works for these bands. The backbendings in these
two-quasiparticle bands are analyzed by the calculated occupation probabilities
and the contributions of each orbital to the total angular momentum alignments.
The moments of inertia and alignments for the Gallagher-Moszkowski partners of
these observed two-quasiparticle rotational bands are also predicted.


title:
Inclusive Four-jet Production at 7 and 13 TeV: Azimuthal Profile in
  Multi-Regge Kinematics

abstract:
  Recently, new observables in LHC inclusive events with three tagged jets were
proposed. Here, we extend that proposal to events with four tagged jets. The
events are characterised by one jet in the forward direction, one in the
backward direction with a large rapidity distance $Y$ from the first one and
two more jets tagged in more central regions of the detector. In our setup,
non-tagged associated mini-jet multiplicity is present and needs to be
accounted for by the inclusion of BFKL gluon Green functions. The projection of
the cross section on azimuthal-angle components opens up the opportunity for
defining new ratios of correlation functions of the azimuthal angle differences
among the tagged jets that can be used as probes of the BFKL dynamics.


title:
Ensemble-Compression: A New Method for Parallel Training of Deep Neural
  Networks

abstract:
  Parallelization framework has become a necessity to speed up the training of
deep neural networks (DNN) recently. Such framework typically employs the Model
Average approach, denoted as MA-DNN, in which parallel workers conduct
respective training based on their own local data while the parameters of local
models are periodically communicated and averaged to obtain a global model
which serves as the new start of local models. However, since DNN is a highly
non-convex model, averaging parameters cannot ensure that such global model can
perform better than those local models. To tackle this problem, we introduce a
new parallel training framework called Ensemble-Compression, denoted as EC-DNN.
In this framework, we propose to aggregate the local models by ensemble, i.e.,
averaging the outputs of local models instead of the parameters. As most of
prevalent loss functions are convex to the output of DNN, the performance of
ensemble-based global model is guaranteed to be at least as good as the average
performance of local models. However, a big challenge lies in the explosion of
model size since each round of ensemble can give rise to multiple times size
increment. Thus, we carry out model compression after each ensemble,
specialized by a distillation based method in this paper, to reduce the size of
the global model to be the same as the local ones. Our experimental results
demonstrate the prominent advantage of EC-DNN over MA-DNN in terms of both
accuracy and speedup.


title: Coideals, quantum subgroups and idempotent states

abstract:
  We establish a one to one correspondence between idempotent states on a
locally compact quantum group G and integrable coideals in the von Neumann
algebra of bounded measurable functions on G that are preserved by the scaling
group. In particular we show that there is a 1-1 correspondence between
idempotent states on G and psi-expected left invariant von Neumann subalgebras
of bounded measurable functions on G. We characterize idempotent states of Haar
type as those corresponding to integrable normal coideals preserved by the
scaling group. We also establish a one to one correspondence between open
subgroups of G and convolutionally central idempotent states on the dual of G.
Finally we characterize coideals corresponding to open quantum subgroups of G
as those that are normal and admit an atom. As a byproduct of this study we get
a number of universal lifting results for Podles condition, normality and
regularity and we generalize number of results known before to hold under the
coamenability assumption.


title:
Source-LDA: Enhancing probabilistic topic models using prior knowledge
  sources

abstract:
  A popular approach to topic modeling involves extracting co-occurring n-grams
of a corpus into semantic themes. The set of n-grams in a theme represents an
underlying topic, but most topic modeling approaches are not able to label
these sets of words with a single n-gram. Such labels are useful for topic
identification in summarization systems. This paper introduces a novel approach
to labeling a group of n-grams comprising an individual topic. The approach
taken is to complement the existing topic distributions over words with a known
distribution based on a predefined set of topics. This is done by integrating
existing labeled knowledge sources representing known potential topics into the
probabilistic topic model. These knowledge sources are translated into a
distribution and used to set the hyperparameters of the Dirichlet generated
distribution over words. In the inference these modified distributions guide
the convergence of the latent topics to conform with the complementary
distributions. This approach ensures that the topic inference process is
consistent with existing knowledge. The label assignment from the complementary
knowledge sources are then transferred to the latent topics of the corpus. The
results show both accurate label assignment to topics as well as improved topic
generation than those obtained using various labeling approaches based off
Latent Dirichlet allocation (LDA).


title: On the eigenfunctions for the multi-species q-Boson system

abstract:
  In a previous paper a multi-species version of the q-Boson stochastic
particle system is introduced and the eigenfunctions of its backward generator
are constructed by using a representation of the Hecke algebra. In this article
we prove a formula which expresses the eigenfunctions by means of the
q-deformed bosonic operators, which are constructed from the L-operator of
higher rank found in the recent work by Garbali, de Gier and Wheeler. The
L-operator is obtained from the universal R-matrix of the quantum affine
algebra of type A_{r}^{(1)} by the use of the q-oscillator representation. Thus
our formula may be regarded as a bridge between two approaches to studying
integrable stochastic systems by means of the quantum affine algebra and the
affine Hecke algebra.


title:
Shape dependence and anisotropic finite-size scaling of the phase
  coherence of three-dimensional Bose-Einstein condensed gases

abstract:
  We investigate the equilibrium phase-coherence properties of Bose-condensed
particle systems, focusing on their shape dependence and finite-size scaling
(FSS). We consider three-dimensional (3D) homogeneous systems confined to
anisotropic L x L x L_a boxes, below the BEC transition temperature $T_c$. We
show that the phase correlations develop peculiar anisotropic FSS for any
$T<T_c$, in the large-$L$ limit keeping the ratio \lambda = L_a/L^2 fixed. This
phenomenon is effectively described by the 3D spin-wave (SW) theory. Its
universality is confirmed by quantum Monte Carlo simulations of the 3D
Bose-Hubbard model in the BEC phase. The phase-coherence properties of very
elongated BEC systems, \lambda>>1, are characterized by a coherence length
\xi_a \sim A_t \rho_s/T where A_t is the transverse area and \rho_s is the
superfluid density.


title:
Steric effects of CO2 binding to transition metal-benzene complexes: a
  first-principles study

abstract:
  Using density functional theory (DFT) calculations, we investigated the
adsorption of CO2 molecules on 3d transition metal (TM)-benzene complexes. Our
calculations show that the maximum number of CO2 molecules adsorbable on Sc or
Ti atoms is three, but the 18-electron rule predicts it should be four. The
18-electron rule is generally successful in predicting the maximum H2
adsorption number for TM atoms including Sc or Ti atoms. We found that the
18-electron rule fails to correctly predict CO2 binding on Sc- or Ti-benzene
complexes because CO2 binding, in contrast to H2 binding, requires additional
consideration for steric hindrance due to the large bond length of CO2. We
calculated the occupation function for CO2 using the Tolman cone angle, which
shows that three CO2 molecules fully occupy the available space around Sc- and
Ti-benzene complexes. This estimation is the same maximum CO2 adsorption number
predicted by DFT calculations. Therefore, we propose that the occupation
function for CO2 using the Tolman cone angle is an efficient model for
evaluating steric hindrance of CO2 adsorption on a surface.


title: Online Budgeted Truthful Matching

abstract:
  An online truthful budgeted matching problem is considered for a bipartite
graph, where the right vertices are available ahead of time, and individual
left vertices arrive sequentially. On arrival of a left vertex, its edge
utilities (or weights) to all the right vertices and a corresponding cost (or
bid) are revealed. If a left vertex is matched to any of the right vertices,
then it has to be paid at least as much as its cost. The problem is to match
each left vertex instantaneously and irrevocably to any one of the right
vertices, if at all, to find the maximum weight matching that is truthful,
under a payment budget constraint. Truthfulness condition requires that no left
vertex has any incentive of misreporting its cost. Assuming that the vertices
arrive in an uniformly random order (secretary model) with arbitrary utilities,
a truthful algorithm is proposed that is $24\beta$-competitive (where $\beta$
is the ratio of the maximum and the minimum utility) and satisfies the payment
budget constraint. Direct applications of this problem include crowdsourcing
auctions, and matching wireless users to cooperative relays in device-to-device
enabled cellular network.


title: Dynamics of 3D isolated thermal filaments

abstract:
  Simulations have been carried out to establish how electron thermal physics,
introduced in the form of a dynamic electron temperature, affects isolated
filament motion and dynamics in 3D. It is found that thermal effects impact
filament motion in two major ways when the filament has a significant
temperature perturbation compared to its density perturbation: They lead to a
strong increase in filament propagation in the bi-normal direction and a
significant decrease in net radial propagation. Both effects arise from the
temperature dependence of the sheath current which leads to a non-uniform
floating potential, with the latter effect supplemented by faster pressure
loss. The reduction in radial velocity can only occur when the filament
cross-section loses angular symmetry. The behaviour is observed across
different filament sizes and suggests that filaments with much larger
temperature perturbations than density perturbations are more strongly confined
to the near SOL region.


title: $C_p$ criterion for semiparametric approach in causal inference

abstract:
  For marginal structural models, which recently play an important role in
causal inference, we consider a model selection problem in the framework of a
semiparametric approach using inverse-probability-weighted estimation or doubly
robust estimation. In this framework, the modeling target is a potential
outcome which may be a missing value, and so we cannot apply the AIC nor its
extended version to this problem. In other words, there is no analytical
information criterion obtained according to its classical derivation for this
problem. Hence, we define a mean squared error appropriate for treating the
potential outcome, and then we derive its asymptotic unbiased estimator as a
$C_{p}$ criterion from an asymptotics for the semiparametric approach and using
an ignorable treatment assignment condition. In simulation study, it is shown
that the proposed criterion exceeds a conventionally derived existing criterion
in the squared error and model selection frequency. Specifically, in all
simulation settings, the proposed criterion provides clearly smaller squared
errors and higher frequencies selecting the true or nearly true model.
Moreover, in real data analysis, we check that there is a clear difference
between the selections by the two criteria.


title: On generators with infinite entropy

abstract:
  Many years ago B.S. Pitskel observed that the metric entropy of the shift
transformation in the sample space of a stationary random process
$X=\{X_n,\,n\in \mathbb Z\}$ with a countable number of states is equal to the
conditional entropy $H(X_0|X_{-1},X_{-2},\dots)$ if $X$ is a stationary Markov
chain (in which case the above conditional entropy is $H(X_0|X_{-1}))$, whether
the entropy $H(X_0)$ is finite or not, while in general the statement is not
true. In this note we present a class of processes for which Pitskel's
observation holds, despite the fact that no of these processes is a Markov
chain of some order.


title:
An Extended Symbol Table Infrastructure to Manage the Composition of
  Output-Specific Generator Information

abstract:
  Code generation is regarded as an essential part of model-driven development
(MDD) to systematically transform the abstract models to concrete code. One
current challenges of templatebased code generation is that output-specific
information, i.e., information about the generated source code, is not
explicitly modeled and, thus, not accessible during code generation. Existing
approaches try to either parse the generated output or store it in a data
structure before writing into a file. In this paper, we propose a first
approach to explicitly model parts of the generated output. These modeled parts
are stored in a symbol for efficient management. During code generation this
information can be accessed to ensure that the composition of the overall
generated source code is valid. We achieve this goal by creating a domain model
of relevant generator output information, extending the symbol table to store
this information, and adapt the overall code generation process.


title:
Recurrence CFD - a novel approach to simulate multiphase flows with
  strongly separated time scales

abstract:
  Classical Computational Fluid Dynamics (CFD) of long-time processes with
strongly separated time scales is computationally extremely demanding if not
impossible. Consequently, the state-of-the-art description of such systems is
not capable of real-time simulations or online process monitoring. In order to
bridge this gap, we propose a new method suitable to decouple slow from fast
degrees of freedom in many cases. Based on the recurrence statistics of
unsteady flow fields, we deduce a recurrence process which enables the generic
representation of pseudo-periodic motion at high spatial and temporal
resolution. Based on these fields, passive scalars can be traced by recurrence
CFD. While a first, Eulerian Model A solves a passive transport equation in a
classical implicit finite-volume environment, a second, Lagrangian Model B
propagates fluid particles obeying a stochastic differential equation
explicitly. Finally, this new concept is tested by two multiphase processes - a
lab scale oscillating bubble column and an industrial scale steelmaking
converter. Results of tracer distribution obtained by recurrence CFD are in
very good agreement with full CFD simulations, while computational times are
dramatically reduced. Actually, recurrence CFD is a promising candidate for
online simulations of passive transport processes at full CFD resolution, which
opens the door towards improved process monitoring.


title:
Transport and entry of plasma clouds/jets across transverse magnetic
  discontinuities: Three-dimensional electromagnetic particle-in-cell
  simulations

abstract:
  In this paper we use three-dimensional electromagnetic particle-in-cell
simulations to investigate the interaction of a small-Larmor radius plasma
cloud/jet with a transverse non-uniform magnetic field typical to a tangential
discontinuity in a parallel geometry. The simulation setup corresponds to an
idealized, yet relevant, magnetospheric configuration likely to be observed at
the magnetopause during northward orientation of the interplanetary magnetic
field. The numerical simulations are adapted to study the kinetic effects and
their role on the transport and entry of localized plasma jets similar to those
identified inside the Earth's magnetosheath propagating towards the
magnetopause. The simulations reveal the formation of a polarization electric
field inside the main bulk of the plasma cloud that enables its forward
transport and entry across the transverse magnetic field. The jet is able to
penetrate the transition region when the height of the magnetic barrier does
not exceed a certain critical threshold. Otherwise, the forward transport along
the injection direction is stopped before full penetration of the magnetopause.
Moreover, the jet is pushed back and simultaneously deflected in the
perpendicular plane to the magnetic field. Our simulations evidence physical
processes advocated previously by the theoretical model of impulsive
penetration and revealed in laboratory experiments.


title:
First-principles studies of orbital and spin-orbit properties of GaAs,
  GaSb, InAs, and InSb zinc-blende and wurtzite semiconductors

abstract:
  We employ first-principles techniques tailored to properly describe
semiconductors (modified Becke-Johnson potential added to the
exchange-correlation functional), to obtain the electronic band structures of
both the zinc-blende and wurtzite phases of GaAs, GaSb, InAs, and InSb. We
extract the spin-orbit fields for the relevant valence and conduction bands at
zone center, by fitting the spin-splittings resulting from the lack of space
inversion symmetry of these bulk crystal structures, to known functional
forms---third-order polynomials. We also determine the orientations of the
spin-orbit vector fields (for conduction bands) and the average spins (valence
bands) in the momentum space. We describe the dependence of the spin-orbit
parameters on the cation and anion atomic weights. These results should be
useful for spin transport, spin relaxation, and spin optical orientation
modeling of semiconductor heterostructures, as well as for realistic studies of
semiconductor-based Majorana nanowires, for which accurate values of spin-orbit
couplings are needed.


title:
Single-Model Encoder-Decoder with Explicit Morphological Representation
  for Reinflection

abstract:
  Morphological reinflection is the task of generating a target form given a
source form, a source tag and a target tag. We propose a new way of modeling
this task with neural encoder-decoder models. Our approach reduces the amount
of required training data for this architecture and achieves state-of-the-art
results, making encoder-decoder models applicable to morphological reinflection
even for low-resource languages. We further present a new automatic correction
method for the outputs based on edit trees.


title:
Study of Void Probability Scaling of Singly Charged Particles Produced
  in Ultrarelativistic Nuclear Collision in Fractal Scenario

abstract:
  In this paper, we study the fractality of void probability distribution
measured in $^{32}$S-Ag/Br interaction at an incident energy of $200$ GeV per
nucleon. A radically different and rigorous method called \textit{Visibility
Graph} analysis is used. This method is shown to reveal a strong scaling
character of void probability distribution in all pseurorapidity regions. The
scaling exponent, called the Power of the Scale-freeness in Visibility
Graph(PSVG), a quantitative parameter related to Hurst exponent, is strongly
found to be dependent on the rapidity window size.


title:
A better method to determine the stability region of an L-stable
  implicit-explicit Runge-Kutta scheme

abstract:
  We propose a better method to determine the stability region of an L-stable
implicit-explicit Runge-Kutta scheme. This method always provides the correct
result, while other methods sometimes give wrong result. It is useful in the
analysis for implicit-explicit Runge-Kutta schemes.
  Keywords: Stability region, Implicit-explicit (IMEX) scheme


title:
Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling
  Constants

abstract:
  We undertake a covariance error analysis of the pion-nucleon-nucleon coupling
constants from the Granada-2013 np and pp database comprising a total of 6720
scattering data below LAB energy of 350 MeV. Assuming a unique pion-nucleon
coupling constant in the One Pion Exchange potential above a boundary radius
$r_c=3 {\rm fm}$ we obtain $f^2=0.0763(1)$. The effects of charge symmetry
breaking on the $^3P_0$, $^3P_1$ and $^3P_2$ partial waves are analyzed and we
find $f_{p}^2 = 0.0761(4)$, $f_{0}^2 = 0.0790(9)$ and $f_{c}^2 = 0.0772(6)$
with a strong anti-correlation between $f_c^2$ and $f_0^2$. We successfully
test normality for the residuals of the fit. Potential tails in terms of
different boundary radii as well as chiral Two-Pion-Exchange contributions as
sources of systematic uncertainty are also investigated.


title:
Aging and percolation dynamics in a Non-Poissonian temporal network
  model

abstract:
  We present an exhaustive mathematical analysis of the recently proposed
Non-Poissonian Ac- tivity Driven (NoPAD) model [Moinet et al. Phys. Rev. Lett.,
114 (2015)], a temporal network model incorporating the empirically observed
bursty nature of social interactions. We focus on the aging effects emerging
from the Non-Poissonian dynamics of link activation, and on their effects on
the topological properties of time-integrated networks, such as the degree
distribution. Analytic expressions for the degree distribution of integrated
networks as a function of time are derived, ex- ploring both limits of
vanishing and strong aging. We also address the percolation process occurring
on these temporal networks, by computing the threshold for the emergence of a
giant connected component, highlighting the aging dependence. Our analytic
predictions are checked by means of extensive numerical simulations of the
NoPAD model.


title: QCD sum rules for the neutron, $\Sigma$, and $\Lambda$ in neutron matter

abstract:
  The nuclear density dependencies of the neutron and $\Sigma$ and $\Lambda$
hyperons are important inputs in the determination of the neutron star mass as
the appearance of hyperons coming from strong attractions significantly changes
the stiffness of the equation of state (EOS) at iso-spin asymmetric dense
nuclear matter. In-medium spectral sum rules have been analyzed for the
nucleon, $\Sigma$, and $\Lambda$ hyperon to investigate their properties up to
slightly above the saturation nuclear matter density by using the linear
density approximation for the condensates. The construction scheme of the
interpolating fields without derivatives has been reviewed and used to
construct a general interpolating field for each baryon with parameters
specifying the strength of independent interpolating fields. Optimal choices
for the interpolating fields were obtained by requiring the sum rules to be
stable against variations of the parameters and the result to be consistent
with known phenomenology. The optimized result shows that Ioffe's choice is not
suitable for the $\Lambda$ hyperon sum rules. It is found that, for the
$\Lambda$ hyperon interpolating field, the up and down quark combined into the
scalar diquark structure $u^T C \gamma_5 d$ should be emphasized to ensure
stable sum rules. The quasi-$\Sigma$ and -$\Lambda$ hyperon energies are always
found to be higher than the quasineutron energy in the region $0.5
<\rho/\rho_0<1.5 $ where the linear density approximation in the sum-rule
analysis is expected to be reliable.


title: Evidence of spreading layer emission in thermonuclear superbursts

abstract:
  When a neutron star accretes matter from a companion star in a low-mass X-ray
binary, the accreted gas settles onto the stellar surface through a
boundary/spreading layer. On rare occasions the accumulated gas undergoes a
powerful thermonuclear superburst powered by carbon burning deep below the
neutron star atmosphere. In this paper, we apply the non-negative matrix
factorization spectral decomposition technique to show that the spectral
variations during a superburst from 4U 1636-536 can be explained by two
distinct components: 1) the superburst emission characterized by a variable
temperature black body radiation component, and 2) a quasi-Planckian component
with a constant, $\sim$2.5 keV, temperature varying by a factor of $\sim$15 in
flux. The spectrum of the quasi-Planckian component is identical in shape and
characteristics to the frequency-resolved spectra observed in the
accretion/persistent spectrum of neutron star low-mass X-ray binaries, and
agrees well with the predictions of the spreading layer model by Inogamov &
Sunyaev (1999). Our result is yet another observational evidence that
superbursts - and possibly also normal X-ray bursts - induce changes in the
disc-star boundary.


title: Randomized Polynomial Time Identity Testing for Noncommutative Circuits

abstract:
  In this paper we show that the black-box polynomial identity testing for
noncommutative polynomials $f\in\mathbb{F}\langle z_1,z_2,\cdots,z_n \rangle$
of degree $D$ and sparsity $t$, can be done in randomized $\poly(n,\log t,\log
D)$ time. As a consequence, if the black-box contains a circuit $C$ of size $s$
computing $f\in\mathbb{F}\langle z_1,z_2,\cdots,z_n \rangle$ which has at most
$t$ non-zero monomials, then the identity testing can be done by a randomized
algorithm with running time polynomial in $s$ and $n$ and $\log t$. This makes
significant progress on a question that has been open for over ten years.
  The earlier result by Bogdanov and Wee [BW05], using the classical
Amitsur-Levitski theorem, gives a randomized polynomial-time algorithm only for
circuits of polynomially bounded syntactic degree. In our result, we place no
restriction on the degree of the circuit.
  Our algorithm is based on automata-theoretic ideas introduced in
[AMS08,AM08]. In those papers, the main idea was to construct deterministic
finite automata that isolate a single monomial from the set of nonzero
monomials of a polynomial $f$ in $\mathbb{F}\langle z_1,z_2,\cdots,z_n
\rangle$. In the present paper, since we need to deal with exponential degree
monomials, we carry out a different kind of monomial isolation using
nondeterministic automata.


title: The $ \ell_1 $-analysis with redundant dictionary in phase retrieval

abstract:
  This article presents new results concerning the recovery of a signal from
magnitude only measurements where the signal is not sparse in an orthonormal
basis but in a redundant dictionary. To solve this phaseless problem, we
analyze the $ \ell_1 $-analysis model. Firstly we investigate the noiseless
case with presenting a null space property of the measurement matrix under
which the $ \ell_1 $-analysis model provide an exact recovery. Secondly we
introduce a new property (S-DRIP) of the measurement matrix. By solving the $
\ell_1 $-analysis model, we prove that this property can guarantee a stable
recovery of real signals that are nearly sparse in highly overcomplete
dictionaries.


title: On upper bounds of arithmetic degrees

abstract:
  Let $X$ be a smooth projective variety over $ \overline{\mathbb Q}$, and $f:X
-rightarrow X$ be a dominant rational map. Let $\delta_{f}$ be the first
dynamical degree of $f$ and $h_{X}:X( \overline{\mathbb Q})\to [1,\infty)$ be a
Weil height function on $X$ associated with an ample divisor on $X$. We prove
several inequalities which give upper bounds of the sequence $(h_X
(f^n(P)))_{n\geq0}$ where $P$ is a point of $X( \overline{\mathbb Q})$ whose
forward orbit by $f$ is well-defined. As a corollary, we prove that the upper
arithmetic degree is less than or equal to the first dynamical degree; $
\overline{\alpha}_{f}(P) \leq \delta_{f}$. Furthermore, if the Picard number of
$X$ is one, $f$ is algebraically stable and $\delta_{f}>1$, we prove that the
limit defining canonical height $\lim_{n\to \infty} h_{X} (f^{n}(P)) \big/
\delta_f^n$ converges.


title: Performance of TOF-RPC for the BGOegg experiment

abstract:
  We constructed a new time-of-flight (TOF) detector consisting of resistive
plate chambers (RPCs) to measure particle energy in the BGOegg experiment. The
BGOegg-RPC has a unique feature which enables us to cover a large area with a
small number of readout channels. For this purpose, we developed the RPC with a
strip size of 2.5 cm $\times$ 100 cm. The BGOegg-RPC covers an area of 320 cm
$\times$ 200 cm with only 256 channels of readout electronics. In case of large
readout RPCs, an originated signal is distorted and dispersed during
propagation. In addition, there happens a signal reflection at the end of the
strip. Although we designed the BGOegg-RPC and front-end electronics with
minimized signal reflection, a small reflection still remained, deteriorating
the resulting time resolution. After establishing calibration and correction
methods to improve the performance of the BGOegg-RPC, we obtained the time
resolution of {\sigma}~60 ps around the central region of strips.


title: Kick Motions for the NAO Robot using Dynamic Movement Primitives

abstract:
  In this paper, we present the probably first application of the popular
\emph{Dynamic Movement Primitives (DMP)} approach to the domain of
soccer-playing humanoid robots. DMPs are known for their ability to imitate
previously demonstrated motions as well as to flexibly adapt to unforeseen
changes to the desired trajectory with respect to speed and direction. As
demonstrated in this paper, this makes them a useful approach for describing
kick motions. Furthermore, we present a mathematical motor model that
compensates for the NAO robot's motor control delay as well as a novel minor
extension to the DMP formulation. The motor model is used in the calculation of
the Zero Moment Point (ZMP), which is needed to keep the robot in balance while
kicking. All approaches have been evaluated on real NAO robots.


title:
On the performance of different mutation operators of a
  subpopulation-based genetic algorithm for multi-robot task allocation
  problems

abstract:
  The performance of different mutation operators is usually evaluated in
conjunc-tion with specific parameter settings of genetic algorithms and target
problems. Most studies focus on the classical genetic algorithm with different
parameters or on solving unconstrained combinatorial optimization problems such
as the traveling salesman problems. In this paper, a subpopulation-based
genetic al-gorithm that uses only mutation and selection is developed to solve
multi-robot task allocation problems. The target problems are constrained
combinatorial optimization problems, and are more complex if cooperative tasks
are involved as these introduce additional spatial and temporal constraints.
The proposed genetic algorithm can obtain better solutions than classical
genetic algorithms with tournament selection and partially mapped crossover.
The performance of different mutation operators in solving problems
without/with cooperative tasks is evaluated. The results imply that inversion
mutation performs better than others when solving problems without cooperative
tasks, and the swap-inversion combination performs better than others when
solving problems with cooperative tasks.


title:
Variance-Reduced Proximal Stochastic Gradient Descent for Non-convex
  Composite optimization

abstract:
  Here we study non-convex composite optimization: first, a finite-sum of
smooth but non-convex functions, and second, a general function that admits a
simple proximal mapping. Most research on stochastic methods for composite
optimization assumes convexity or strong convexity of each function. In this
paper, we extend this problem into the non-convex setting using variance
reduction techniques, such as prox-SVRG and prox-SAGA. We prove that, with a
constant step size, both prox-SVRG and prox-SAGA are suitable for non-convex
composite optimization, and help the problem converge to a stationary point
within $O(1/\epsilon)$ iterations. That is similar to the convergence rate seen
with the state-of-the-art RSAG method and faster than stochastic gradient
descent. Our analysis is also extended into the min-batch setting, which
linearly accelerates the convergence. To the best of our knowledge, this is the
first analysis of convergence rate of variance-reduced proximal stochastic
gradient for non-convex composite optimization.


title:
Quantum limit for two-dimensional resolution of two incoherent optical
  point sources

abstract:
  We obtain the multiple-parameter quantum Cram\'er-Rao bound for estimating
the transverse Cartesian components of the centroid and separation of two
incoherent optical point sources using an imaging system with finite spatial
bandwidth. Under quite general and realistic assumptions on the point-spread
function of the imaging system, and for weak source strengths, we show that the
Cram\'er-Rao bounds for the $x$ and $y$ components of the separation are
independent of the values of those components, which may be well below the
conventional Rayleigh resolution limit. We also propose two linear optics-based
measurement methods that approach the quantum bound for the estimation of the
Cartesian components of the separation once the centroid has been located. One
of the methods is an interferometric scheme that approaches the quantum bound
for sub-Rayleigh separations. The other method using fiber coupling can in
principle attain the bound regardless of the distance between the two sources.


title:
Follow-up observations of extremely metal-poor stars identified from
  SDSS

abstract:
  The most metal-poor stars in the Milky Way witnessed the early phases of
formation of the Galaxy, and have chemical compositions that are close to the
pristine mixture from Big Bang nucleosynthesis, polluted by one or few
supernovae. Only two dozen stars with ([Fe/H]< -4) are known, and they show a
wide range of abundance patterns. It is therefore important to enlarge this
sample. We present the first results of an effort to identify new extremely
metal-poor stars in the Milky Way halo. Our targets have been selected from
low-resolution spectra obtained as part of the Sloan Digital Sky Survey, and
followed-up with medium resolution spectroscopy on the 4.2 m William Herschel
Telescope and, in a few cases, at high resolution on the the 9.2 m Hobby-Eberly
Telescope. Stellar parameters and the abundances of magnesium, calcium, iron,
and strontium have been inferred from the spectra using classical model
atmospheres. We have also derived carbon abundances from the G band. We find
consistency between the metallicities estimated from SDSS and those from new
data at the level of 0.3 dex. The analysis of medium resolution data obtained
with ISIS on the WHT allow us to refine the metallicities and in some cases
measure other elemental abundances. Our sample contains 11 new metal-poor stars
with [Fe/H] < -3.0, one of them with an estimated metallicity of [Fe/H] ~ -4.0.
We also discuss metallicity discrepancies of some stars in common with previous
works in the literature. Only one of these stars is found to be C-enhanced at
about [C/Fe]~+1, whereas the other metal-poor stars show C abundances at the
level of [C/Fe]~+0.45.


title:
All-coupling polaron optical response: analytic approaches beyond the
  adiabatic approximation

abstract:
  In the present work, the problem of an all-coupling analytic description for
the optical conductivity of the Froehlich polaron is treated, with the goal
being to bridge the gap in validity range that exists between two complementary
methods: on the one hand the memory function formalism and on the other hand
the strong-coupling expansion based on the Franck-Condon picture for the
polaron response. At intermediate coupling, both methods were found to fail as
they do not reproduce Diagrammatic Quantum Monte Carlo results. To resolve
this, we modify the memory function formalism with respect to the
Feynman-Hellwarth-Iddings-Platzman (FHIP) approach, in order to take into
account a non-quadratic interaction in a model system for the polaron. The
strong-coupling expansion is extended beyond the adiabatic approximation, by
including into the treatment non-adiabatic transitions between excited polaron
states. The polaron optical conductivity that we obtain by combining the two
extended methods agree well, both qualitatively and quantitatively, with the
Diagrammatic Quantum Monte Carlo results in the whole available range of the
electron-phonon coupling strength.


title:
Branch continuation inside the essential spectrum for the nonlinear
  Schr\"odinger equation

abstract:
  We consider the nonlinear stationary Schr\"odinger equation \begin{equation*}
  -\Delta u -\lambda u= Q(x)|u|^{p-2}u, \qquad \text{in }\mathbb{R}^N
\end{equation*} in the case where $N \geq 3$, $p$ is a superlinear, subcritical
exponent, $Q$ is a bounded, nonnegative and nontrivial weight function with
compact support in $\mathbb{R}^N$ and $\lambda \in \mathbb{R}$ is a parameter.
Under further restrictions either on the exponent $p$ or on the shape of $Q$,
we establish the existence of a continuous branch $\mathcal{C}$ of nontrivial
solutions to this equation which intersects $\{\lambda \} \times
L^{s}(\mathbb{R}^N)$ for every $\lambda \in (-\infty, \lambda_Q)$ and $s>
\frac{2N}{N-1}$. Here $\lambda_Q>0$ is an explicit positive constant which only
depends on $N$ and $\text{diam}(\text{supp }Q)$. In particular, the set of
values $\lambda$ along the branch enters the essential spectrum of the operator
$-\Delta$.


title:
Origin of scale-free intermittency in structural first-order phase
  transitions

abstract:
  A salient feature of cyclically driven first-order phase transformations in
crystals is their scale-free avalanche dynamics. This behavior has been linked
to the presence of a classical critical point but the mechanism leading to
criticality without extrinsic tuning remains unexplained. Here we show that the
source of scaling in such systems is an annealed disorder associated with
transformation-induced slip which co-evolves with the phase transformation,
thus ensuring the crossing of a critical manifold. Our conclusions are based on
a model where annealed disorder emerges in the form of a random field induced
by the phase transition. Such disorder exhibits super-transient chaotic
behavior under thermal loading, obeys a heavy-tailed distribution and exhibits
long-range spatial correlations. We show that the universality class is
affected by the long-range character of elastic interactions. In contrast, it
is not influenced by the heavy-tailed distribution and spatial correlations of
disorder.


title:
Matrix Product Density Operators: Renormalization Fixed Points and
  Boundary Theories

abstract:
  We consider the tensors generating matrix product states and density
operators in a spin chain. For pure states, we revise the renormalization
procedure introduced by F. Verstraete et al. in 2005 and characterize the
tensors corresponding to the fixed points. We relate them to the states
possessing zero correlation length, saturation of the area law, as well as to
those which generate ground states of local and commuting Hamiltonians. For
mixed states, we introduce the concept of renormalization fixed points and
characterize the corresponding tensors. We also relate them to concepts like
finite correlation length, saturation of the area law, as well as to those
which generate Gibbs states of local and commuting Hamiltonians. One of the
main result of this work is that the resulting fixed points can be associated
to the boundary theories of two-dimensional topological states, through the
bulk-boundary correspondence introduced by Cirac et al. in 2011.


title: Multiscale approach to equilibrating model polymer melts

abstract:
  We present an effective and simple multiscale method for equilibrating Kremer
Grest model polymer melts of varying stiffness. In our approach, we
progressively equilibrate the melt structure above the tube scale, inside the
tube and finally at the monomeric scale. We make use of models designed to be
computationally effective at each scale. Density fluctuations in the melt
structure above the tube scale are minimized through a Monte Carlo simulated
annealing of a lattice polymer model. Subsequently the melt structure below the
tube scale is equilibrated via the Rouse dynamics of a force-capped
Kremer-Grest model that allows chains to partially interpenetrate. Finally the
Kremer-Grest force field is introduced to freeze the topological state and
enforce correct monomer packing. We generate $15$ melts of $500$ chains of
$10.000$ beads for varying chain stiffness as well as a number of melts with
$1.000$ chains of $15.000$ monomers. To validate the equilibration process we
study the time evolution of bulk, collective and single-chain observables at
the monomeric, mesoscopic and macroscopic length scales. Extension of the
present method to longer, branched or polydisperse chains and/or larger system
sizes is straight forward.


title: Nonrational Symplectic Toric Cuts

abstract:
  In this article we extend cutting and blowing up to the nonrational
symplectic toric setting. This entails the possibility of cutting and blowing
up for symplectic toric manifolds and orbifolds in nonrational directions.


title:
Recursive Autoconvolution for Unsupervised Learning of Convolutional
  Neural Networks

abstract:
  In visual recognition tasks, such as image classification, unsupervised
learning exploits cheap unlabeled data and can help to solve these tasks more
efficiently. We show that the recursive autoconvolution operator, adopted from
physics, boosts existing unsupervised methods by learning more discriminative
filters. We take well established convolutional neural networks and train their
filters layer-wise. In addition, based on previous works we design a network
which extracts more than 600k features per sample, but with the total number of
trainable parameters greatly reduced by introducing shared filters in higher
layers. We evaluate our networks on the MNIST, CIFAR-10, CIFAR-100 and STL-10
image classification benchmarks and report several state of the art results
among other unsupervised methods.


title:
Model description of non-Maxwellian nuclear processes in the solar
  interior

abstract:
  A consistent model for the description of non-Maxwellian nuclear processes in
the solar core triggered by fast reaction-produced particles is formulated. It
essentially extends an approach to study suprathermal solar reactions discussed
previously [Phys. Rev. C 91, 028801 (2015)] and refines its predictions. The
model is applied to examine in detail the slowing-down of 8.7-MeV alpha
particles produced in the 7Li(p,alpha)alpha reaction of the pp chain, and to
study suprathermal processes in the solar CNO cycle induced by them. The
influence of electron degeneracy and electron screening on suprathermal
reactions through in-flight reaction probability and fast particle emission
rate is clarified. In particular, these effects account for a 20% increase of
the 14N(alpha,p)17O reaction rate at R < 0.2Rsun. This new type of correction
is important for the suprathermal reaction like 14N(alpha,p)17O as it is
recognized to be capable of distorting the CNO cycle in the 95% region of the
solar core. In this region, normal branching 14N <-- 17O --> 18F of nuclear
flow transforms to abnormal sequential flow 14N --> 17O --> 18F, and the
14N(alpha,p)17O reaction rate exceeds the rate of 17O burn up through
conventional 17O(p,alpha)14N and 17O(p,gamma)18F processes. It is shown that
these factors can enhance the 17O abundance in the core as compared with
standard estimates. For the steady state case, the abundance enhancement is
estimated to be as high as ~ 100 in the outer core region. A conjecture is made
that other CNO suprathermal (alpha,p) reactions may also alter abundances of
CNO elements, including those generating solar neutrinos.


title: Edge states in a two-dimensional quantum walk with disorder

abstract:
  We investigate the effect of spatial disorder on the edge states localized at
the interface between two topologically different regions. Rotation disorder
can localize the quantum walk if it is strong enough to change the topology,
otherwise the edge state is protected. Nonlinear spatial disorder, dependent on
the walker's state, attracts the walk to the interface even for very large
coupling, preserving the ballistic transport characteristic of the clean
regime.


title: Interpretable sparse SIR for functional data

abstract:
  This work focuses on the issue of variable selection in functional
regression. Unlike most work in this framework, our approach does not select
isolated points in the definition domain of the predictors, nor does it rely on
the expansion of the predictors in a given functional basis. It provides an
approach to select full intervals made of consecutive points. This feature
improves the interpretability of the estimated coefficients and is desirable in
the functional framework for which small shifts are frequent when comparing one
predictor (curve) to another. Our method is described in a semiparametric
framework based on Sliced Inverse Regression (SIR). SIR is an effective method
for dimension reduction of high-dimensional data which computes a linear
projection of the predictors in a low-dimensional space, without loss on
regression information. We extend the approaches of variable selection
developed for multidimensional SIR to select intervals rather than separated
evaluation points in the definition domain of the functional predictors.
Different and equivalent formulations of SIR are combined in a shrinkage
approach with a group-LASSO-like penalty. Finally, a fully automated iterative
procedure is also proposed to find the critical (interpretable) intervals. The
approach is proved efficient on simulated and real data.


title:
Low-dimensional Query Projection based on Divergence Minimization
  Feedback Model for Ad-hoc Retrieval

abstract:
  Low-dimensional word vectors have long been used in a wide range of
applications in natural language processing. In this paper we shed light on
estimating query vectors in ad-hoc retrieval where a limited information is
available in the original query. Pseudo-relevance feedback (PRF) is a
well-known technique for updating query language models and expanding the
queries with a number of relevant terms. We formulate the query updating in
low-dimensional spaces first with rotating the query vector and then with
scaling. These consequential steps are embedded in a query-specific projection
matrix capturing both angle and scaling. In this paper we propose a new but not
the most effective technique necessarily for PRF in language modeling, based on
the query projection algorithm. We learn an embedded coefficient matrix for
each query, whose aim is to improve the vector representation of the query by
transforming it to a more reliable space, and then update the query language
model. The proposed embedded coefficient divergence minimization model (ECDMM)
takes top-ranked documents retrieved by the query and obtains a couple of
positive and negative sample sets; these samples are used for learning the
coefficient matrix which will be used for projecting the query vector and
updating the query language model using a softmax function. Experimental
results on several TREC and CLEF data sets in several languages demonstrate
effectiveness of ECDMM. The experimental results reveal that the new
formulation for the query works as well as state-of-the-art PRF techniques and
outperforms state-of-the-art PRF techniques in a TREC collection in terms of
MAP,P@5, and P@10 significantly.


title: Product set phenomena for measured groups

abstract:
  Following the works of Furstenberg and Glasner on stationary means, we
strengthen and extend in this paper some recent results by Di Nasso, Goldbring,
Jin, Leth, Lupini and Mahlburg on piecewise syndeticity of product sets in
countable \textsc{amenable} groups to general countable measured groups. We
point out several fundamental differences between the behavior of products of
"large" sets in Liouville and non-Liouville measured groups.
  As a (very) special case of our main results, we show that if $G$ is a free
group of finite rank, and $A$ and $B$ are "spherically large" subsets of $G$,
then there exists a finite set $F \subset G$ such that $AFB$ is thick. The
position of the set $F$ is curious, but seems to be necessary; in fact, we can
produce \emph{left thick} sets $A, B \subset G$ such that $B$ is "spherically
large", but $AB$ is \emph{not} piecewise syndetic. On the other hand, if $A$ is
spherically large, then $AA^{-1}$ is always piecewise syndetic \emph{and} left
piecewise syndetic. However, contrary to what happens for amenable groups,
$AA^{-1}$ may fail to be syndetic. The same phenomena occur for many other
(even amenable, but non-Liouville) measured groups.
  Our proofs are based on some ergodic-theoretical results concerning
stationary actions which should be of independent interest.


title: Arrangements of ideal type

abstract:
  In 2006 Sommers and Tymoczko defined so called arrangements of ideal type A_I
stemming from ideals I in the set of positive roots of a reduced root system.
They showed in a case by case argument that A_I is free if the root system is
of classical type or G_2 and conjectured that this is also the case for all
types. This was established only recently in a uniform manner by Abe, Barakat,
Cuntz, Hoge and Terao. The set of non-zero exponents of the free arrangement
A_I is given by the dual of the height partition of the roots in the complement
of I in the set of positive roots, generalizing the Shapiro-Steinberg-Kostant
theorem.
  Our first aim in this paper is to investigate a stronger freeness property of
the A_I. We show that all A_I are inductively free, with the possible exception
of some cases in type E_8.
  In the same paper, Sommers and Tymoczko define a Poincar\'e polynomial I(t)
associated with each ideal I which generalizes the Poincar\'e polynomial W(t)
for the underlying Weyl group W. Solomon showed that W(t) satisfies a product
decomposition depending on the exponents of W for any Coxeter group W. Sommers
and Tymoczko showed in a case by case analysis in type A, B and C, and some
small rank exceptional types that a similar factorization property holds for
the Poincar\'e polynomials I(t) generalizing the formula of Solomon for W(t).
They conjectured that their multiplicative formula for I(t) holds in all types.
Here we show that this conjecture holds inductively in almost all instances.


title: Jeans' Ghost

abstract:
  We show that a massless canonical scalar field minimally coupled to general
relativity can become a tachyonic ghost at low energies around a background in
which the scalar's gradient is spacelike. By performing a canonical
transformation we demonstrate that this low energy ghost can be recast, at the
level of the action, in a form of a fluid that undergoes a Jeans-like
instability affecting only modes with large wavelength. This illustrates that
low-energy tachyonic ghosts do not lead to a catastrophic quantum vacuum
instability, unlike the usual high-energy ghost degrees of freedom.


title: Relative Calabi-Yau structures

abstract:
  We introduce relative noncommutative Calabi-Yau structures defined on
functors of differential graded categories. Examples arise in various contexts
such as topology, algebraic geometry, and representation theory. Our main
result is a composition law for Calabi-Yau cospans generalizing the classical
composition of cobordisms of oriented manifolds. As an application, we
construct Calabi-Yau structures on topological Fukaya categories of framed
punctured Riemann surfaces.


title:
What is the 'minimum inhibitory concentration' (MIC) of pexiganan acting
  on Escherichia coli? - A cautionary case study

abstract:
  We measured the minimum inhibitory concentration (MIC) of the antimicrobial
peptide pexiganan acting on Escherichia coli, and report an intrinsic
variability in such measurements. These results led to a detailed study of the
effect of pexiganan on the growth curve of E. coli, using a plate reader and
manual plating (i.e. time-kill curves). The measured growth curves, together
with single-cell observations and peptide depletion assays, suggested that
addition of a sub-MIC concentration of pexiganan to a population of this
bacterium killed a fraction of the cells, reducing peptide activity during the
process, while leaving the remaining cells unaffected. This pharmacodynamic
hypothesis suggests a considerable inoculum effect, which we quantified. Our
results cast doubt on the use of the MIC as 'a measure of the concentration
needed for peptide action' and show how 'coarse-grained' studies at the
population level give vital information for the correct planning and
interpretation of MIC measurements.


title: Exploring the Tensor Networks/AdS Correspondence

abstract:
  In this paper we study the recently proposed tensor networks/AdS
correspondence. We found that the Coxeter group is a useful tool to describe
tensor networks in a negatively curved space. Studying generic tensor network
populated by perfect tensors, we find that the physical wave function
generically do not admit any connected correlation functions of local
operators. To remedy the problem, we assume that wavefunctions admitting such
semi-classical gravitational interpretation are composed of tensors close to,
but not exactly perfect tensors. Computing corrections to the connected two
point correlation functions, we find that the leading contribution is given by
structures related to geodesics connecting the operators inserted at the
boundary physical dofs. Such considerations admit generalizations at least to
three point functions. This is highly suggestive of the emergence of the
analogues of Witten diagrams in the tensor network. The perturbations alone
however do not give the right entanglement spectrum. Using the Coxeter
construction, we also constructed the tensor network counterpart of the BTZ
black hole, by orbifolding the discrete lattice on which the network resides.
We found that the construction naturally reproduces some of the salient
features of the BTZ black hole, such as the appearance of RT surfaces that
could wrap the horizon, depending on the size of the entanglement region A.


title: Consistent order estimation for nonparametric Hidden Markov Models

abstract:
  We consider the problem of estimating the number of hidden states (the order)
of a nonparametric hidden Markov model (HMM). We propose two different methods
and prove their almost sure consistency without any prior assumption, be it on
the order or on the emission distributions. This is the first time a
consistency result is proved in such a general setting without using
restrictive assumptions such as a priori upper bounds on the order or
parametric restrictions on the emission distributions. Our main method relies
on the minimization of a penalized least squares criterion. In addition to the
consistency of the order estimation, we also prove that this method yields rate
minimax adaptive estimators of the parameters of the HMM - up to a logarithmic
factor. Our second method relies on estimating the rank of a matrix obtained
from the distribution of two consecutive observations. Finally, numerical
experiments are used to compare both methods and study their ability to select
the right order in several situations.


title:
Spectrally-Precoded OFDM for 5G Wideband Operation in Fragmented
  sub-6GHz Spectrum

abstract:
  We consider spectrally-precoded OFDM waveforms for 5G wideband transmission
in sub-6GHz band. In this densely packed spectrum, a low out-of-band (OOB)
waveform is a critical 5G component to achieve the promised high spectral
efficiency. By precoding data symbols before OFDM modulation, it is possible to
achieve extremely low out-of-band emission with very sharp spectrum transition
enabling an efficient and flexible usage of frequency resources.
Spectrally-precoded OFDM shows promising results for reaching 5G targets in
high-data rate enhanced mobile broadband and ultra-reliable low-latency
communications use cases. Spectral precoding is particularly efficient for
wideband transmission enabling short-time transmission, which will often
require flexible fragmented spectrum usage.


title: The decomposability of smash product of A_n^2-complexes

abstract:
  In this paper, we determine the decomposability of smash product of two
indecomposable A_n^2-complexes, i.e., (n-1)-connected finite CW-complexes with
dimension at most n+2 (n\geq 3).


title:
Storytelling of Photo Stream with Bidirectional Multi-thread Recurrent
  Neural Network

abstract:
  Visual storytelling aims to generate human-level narrative language (i.e., a
natural paragraph with multiple sentences) from a photo streams. A typical
photo story consists of a global timeline with multi-thread local storylines,
where each storyline occurs in one different scene. Such complex structure
leads to large content gaps at scene transitions between consecutive photos.
Most existing image/video captioning methods can only achieve limited
performance, because the units in traditional recurrent neural networks (RNN)
tend to "forget" the previous state when the visual sequence is inconsistent.
In this paper, we propose a novel visual storytelling approach with
Bidirectional Multi-thread Recurrent Neural Network (BMRNN). First, based on
the mined local storylines, a skip gated recurrent unit (sGRU) with delay
control is proposed to maintain longer range visual information. Second, by
using sGRU as basic units, the BMRNN is trained to align the local storylines
into the global sequential timeline. Third, a new training scheme with a
storyline-constrained objective function is proposed by jointly considering
both global and local matches. Experiments on three standard storytelling
datasets show that the BMRNN model outperforms the state-of-the-art methods.


title:
The Challenge of Non-Technical Loss Detection using Artificial
  Intelligence: A Survey

abstract:
  Detection of non-technical losses (NTL) which include electricity theft,
faulty meters or billing errors has attracted increasing attention from
researchers in electrical engineering and computer science. NTLs cause
significant harm to the economy, as in some countries they may range up to 40%
of the total electricity distributed. The predominant research direction is
employing artificial intelligence to predict whether a customer causes NTL.
This paper first provides an overview of how NTLs are defined and their impact
on economies, which include loss of revenue and profit of electricity providers
and decrease of the stability and reliability of electrical power grids. It
then surveys the state-of-the-art research efforts in a up-to-date and
comprehensive review of algorithms, features and data sets used. It finally
identifies the key scientific and engineering challenges in NTL detection and
suggests how they could be addressed in the future.


title:
Features of the Matter Flows in the Peculiar Cataclysmic Variable AE
  Aquarii

abstract:
  The structure of plasma flows in close binary systems in which one of the
components is a rapidly rotating magnetic white dwarf is studied. The main
example considered is the AE Aquarii system; the spin period of the white dwarf
is about a factor of 1000 shorter than the orbital period, and the magnetic
field on the white dwarf surface is of order of 50 MG. The mass transfer in
this system was analyzed via numerical solution of the system of MHD equations.
These computations show that the magnetic field of the white dwarf does not
significantly influence the velocity field of the material in its Roche lobe in
the case of laminar flow regime, so that the field does not hinder the
formation of a transient disk (ring) surrounding the magnetosphere. However,
the efficiency of the energy and angular momentum exchange between the white
dwarf and the surrounding material increases considerably with the development
of turbulent motions in the matter, resulting in its acceleration at the
magnetospheric boundary and further escape from the system at a high rate. The
time scales of the transition of the system between the laminar and turbulent
modes are close to those of the AE\,Aqr transition between its quiet and active
phases.


title:
The Ball-Box Theorem for a Class of Non-differentiable Tangent
  Subbundles

abstract:
  We show that an analogue of the Ball-Box Theorem for step 2, completely
non-integrable bundles from smooth sub-Riemannian geometry hold true for a
class of non-differentiable tangent subbundles that satisfy a geometric
condition. In the final section of the paper we give examples of such bundles
and an application to dynamical systems.


title: RankSign: an efficient signature algorithm based on the rank metric

abstract:
  In this paper we propose a new approach to code-based signatures that makes
use in particular of rank metric codes. When the classical approach consists in
finding the unique preimage of a syndrome through a decoding algorithm, we
propose to introduce the notion of mixed decoding of erasures and errors for
building signature schemes. In that case the difficult problem becomes, as is
the case in lattice-based cryptography, finding a preimage of weight above the
Gilbert-Varshamov bound (case where many solutions occur) rather than finding a
unique preimage of weight below the Gilbert-Varshamov bound. The paper
describes RankSign: a new signature algorithm for the rank metric based on a
new mixed algorithm for decoding erasures and errors for the recently
introduced Low Rank Parity Check (LRPC) codes. We explain how it is possible
(depending on choices of parameters) to obtain a full decoding algorithm which
is able to find a preimage of reasonable rank weight for any random syndrome
with a very strong probability. We study the semantic security of our signature
algorithm and show how it is possible to reduce the unforgeability to direct
attacks on the public matrix, so that no information leaks through signatures.
Finally, we give several examples of parameters for our scheme, some of which
with public key of size $11,520$ bits and signature of size $1728$ bits.
Moreover the scheme can be very fast for small base fields.


title: Regular Dirichlet extensions of one-dimensional Brownian motion

abstract:
  The regular Dirichlet extension is the dual concept of regular Dirichlet
subspace. The main purpose of this paper is to characterize all the regular
Dirichlet extensions of one-dimensional Brownian motion and to explore their
structures. It is shown that every regular Dirichlet extension of
one-dimensional Brownian motion may essentially decomposed into at most
countable disjoint invariant intervals and an $\mathcal{E}$-polar set relative
to this regular Dirichlet extension. On each invariant interval the regular
Dirichlet extension is characterized uniquely by a scale function in a given
class. To explore the structure of regular Dirichlet extension we apply the
idea introduced in [17], we formulate the trace Dirichlet forms and attain the
darning process associated with the restriction to each invariant interval of
the orthogonal complement of $H^1_\mathrm{e}(\mathbb{R})$ in the extended
Dirichlet space of the regular Dirichlet extension. As a result, we find an
answer to a long-standing problem whether a pure jump Dirichlet form has proper
regular Dirichlet subspaces.


title:
The space of outcomes of semi-static trading strategies need not be
  closed

abstract:
  Semi-static trading strategies make frequent appearances in mathematical
finance, where dynamic trading in a liquid asset is combined with static
buy-and-hold positions in options on that asset. We show that the space of
outcomes of such strategies can have very poor closure properties when all
European options for a fixed date $T$ are available for static trading. This
causes problems for optimal investment, and stands in sharp contrast to the
purely dynamic case classically considered in mathematical finance.


title:
Noise Induced Synchronization on Collective Dynamics of Citrus
  Production

abstract:
  It is very common to observe nonlinear features in agricultural and
ecological systems. For example, in tree crop production, alternate bearing is
well known phenomena caused by nonlinear dynamics. Production of single tree of
Citrus Unshiu trees is recognized to be driven by a mechanistic process modeled
with the so-called "resource budget model", which demonstrates phenomenon of
alternate bearing. However, the term of alternative bearing is used not only
for an individual tree's production but also for total production of a large
sized population of trees. In this paper, we developed noise induced uncoupled
dynamics model for population alternate bearing based on Isagi's resource
budget model. Based on numerical experiments with the developed model,
theoretical possibility of a substantial alternate bearing effect even in a
national market was proposed.


title: Twist-bend nematic phases of bent-shaped biaxial molecules

abstract:
  How change in molecular structure can affect relative stability and
structural properties of the twist-bend nematic phase (N$_\text{TB}$)? Here we
extend the mean-field model [C. Greco et al., Soft Matter, 2014, 10, 9318] for
bent-shaped achiral molecules, to study the influence of arm molecular
biaxiality and the value of molecule's bend angle on relative stability of
N$_\text{TB}$. In particular we show that by controlling biaxiality of
molecule's arms up to four ordered phases can become stable. They involve
locally uniaxial and biaxial variants of N$_\text{TB}$, together with the
uniaxial and the biaxial nematic phases. However, the V-shaped molecule show
stronger ability to form stable N$_\text{TB}$ than a biaxial nematic phase,
where the latter phase appears in the phase diagram only for bend angles
greater than $140^\circ$ and for large biaxiality of the two arms.


title:
Reconciling Planck with the local value of $H_0$ in extended parameter
  space

abstract:
  The recent determination of the local value of the Hubble constant by Riess
et al, 2016 (hereafter R16) is now 3.3 sigma higher than the value derived from
the most recent CMB anisotropy data provided by the Planck satellite in a LCDM
model. Here we perform a combined analysis of the Planck and R16 results in an
extended parameter space, varying simultaneously 12 cosmological parameters
instead of the usual 6. We find that a phantom-like dark energy component, with
effective equation of state $w=-1.29_{-0.12}^{+0.15}$ at 68 % c.l. can solve
the current tension between the Planck dataset and the R16 prior in an extended
$\Lambda$CDM scenario. On the other hand, the neutrino effective number is
fully compatible with standard expectations. This result is confirmed when
including cosmic shear data from the CFHTLenS survey and CMB lensing
constraints from Planck. However, when BAO measurements are included we find
that some of the tension with R16 remains, as also is the case when we include
the supernova type Ia luminosity distances from the JLA catalog.


title:
A note on finite groups with an automorphism inverting or squaring a
  non-negligible fraction of elements

abstract:
  We show that for a finite group $G$, the commuting probability of $G$ can be
explicitly bounded from below in a nontrivial way by a function in the maximum
fraction of elements inverted resp. squared by an automorphism of $G$. Using
these bounds together with a result of Guralnick and Robinson gives upper
bounds on the index of the Fitting subgroup of $G$ under each of the two
conditions that $G$ have an automorphism inverting resp. squaring at least
$\rho|G|$ many elements in $G$, for $\rho\in\left(0,1\right]$ fixed. This is an
improvement on previous results of the author.


title:
Catalytic Nucleation of Amyloid Beta and Hen Egg White Fibrils, and p53
  Oligomerization

abstract:
  Scaling theory generates transferable (even universal) algebraic and
geometrical relations between the amino acid sequences and the aggregation
functions of the three titled radically different proteins. In addition to the
two hydropathicity scales and beta strand scales used in earlier p53 work, a
second beta strand Hot Spot scale is shown to yield very accurate results for
oligomerization of p53, the tumor suppressor. These algebraic and geometrical
relations could be caused topologically by the dominance of protein-protein
aggregation by interactions in a membrane catalytic surface layer.


title:
Maximum-Quality Tree Construction for Deadline-Constrained Aggregation
  in WSNs

abstract:
  In deadline-constrained wireless sensor networks (WSNs), quality of
aggregation (QoA) is determined by the number of participating nodes in the
data aggregation process. The previous studies have attempted to propose
optimal scheduling algorithms to obtain the maximum QoA assuming a fixed
underlying aggregation tree. However, there exists no prior work to address the
issue of constructing optimal aggregation tree in deadline-constraints WSNs.
The structure of underlying aggregation tree is important since our analysis
demonstrates that the ratio between the maximum achievable QoAs of different
trees could be as large as O(2^D), where D is the deadline. This paper casts a
combinatorial optimization problem to address optimal tree construction for
deadline-constrained data aggregation in WSNs. While the problem is proved to
be NP-hard, we employ the recently proposed Markov approximation framework and
devise two distributed algorithms with different computation overheads to find
close-to-optimal solutions with bounded approximation gap. To further improve
the convergence of the proposed Markov-based algorithms, we devise another
initial tree construction algorithm with low computational complexity. Our
extensive experiments for a set randomly-generated scenarios demonstrate that
the proposed algorithms outperforms the existing alternative methods by
obtaining better quality of aggregations.


title: Controlling local currents in molecular junctions

abstract:
  The effect of non-equilibrium constraints and dephasing on the circulating
currents in molecular junctions are analyzed. Circulating currents are
manifestations of quantum effects and can be induced either by externally
applied bias or an external magnetic field through the molecular system. In
symmetric Aharonov-Bohm ring, bond currents have two contributions, bias driven
and magnetic field driven. We analyze the competition between these two
contributions and show that, as a consequence, current through one of the
branches can be completely suppressed. We then study the effect of asymmetry
(as a result of chemical substitution) on the current pathways inside the
molecule and study asymmetry induced circulating currents (without magnetic
field) by tuning the coupling strength of the substituent (at finite bias).


title:
Product blocking measures and a particle system proof of the Jacobi
  triple product

abstract:
  We review product form blocking measures in the general framework of nearest
neighbor asymmetric one dimensional misanthrope processes. This class includes
exclusion, zero range, bricklayers, and many other models. We characterize the
cases when such measures exist in infinite volume, and when finite boundaries
need to be added. By looking at inter-particle distances, we extend the
construction to some 0-1 valued particle systems e.g., q-ASEP and the
Katz-Lebowitz-Spohn process, even outside the misanthrope class. Along the way
we provide a full ergodic decomposition of the product blocking measure into
components that are characterized by a non-trivial conserved quantity.
Substituting in simple exclusion and zero range has an interesting consequence:
a purely probabilistic proof of the Jacobi triple product, a famous identity
that mostly occurs in number theory and the combinatorics of partitions.
Surprisingly, here it follows very naturally from the exclusion - zero range
correspondence.


title: Polar harmonic Maass forms and their applications

abstract:
  In this survey, we present recent results of the authors about
non-meromorphic modular objects known as polar harmonic Maass forms. These
include the computation of Fourier coefficients of meromorphic modular forms
and relations between inner products of meromorphic modular forms and higher
Green's functions evaluated at CM-points.


title: The nonequilibrium glassy dynamics of self-propelled particles

abstract:
  We study the glassy dynamics taking place in dense assemblies of athermal
active particles that are driven solely by a nonequilibrium self-propulsion
mechanism. Active forces are modeled as an Ornstein-Uhlenbeck stochastic
process, characterized by a persistence time and an effective temperature, and
particles interact via a Lennard-Jones potential that yields well-studied
glassy behavior in the Brownian limit, obtained as the persistence time
vanishes. By increasing the persistence time, the system departs more strongly
from thermal equilibrium and we provide a comprehensive numerical analysis of
the structure and dynamics of the resulting active fluid. Finite persistence
times profoundly affect the static structure of the fluid and give rise to
nonequilibrium velocity correlations that are absent in thermal systems.
Despite these nonequilibrium features, for any value of the persistence time we
observe a nonequilibrium glass transition as the effective temperature is
decreased. Surprisingly, increasing departure from thermal equilibrium is found
to promote (rather than suppress) the glassy dynamics. Overall, our results
suggest that with increasing persistence time, microscopic properties of the
active fluid change quantitatively, but the broad features of the
nonequilibrium glassy dynamics observed with decreasing the effective
temperature remain qualitatively similar to those of thermal glass-formers.


title: Stabilization of moduli in spacetime with nested warping and the UED

abstract:
  The absence, so far, of any graviton signatures at the LHC imposes severe
constraints on the Randall-Sundrum scenario. Although a generalization to
higher dimensions with nested warpings has been shown to avoid these
constraints, apart from incorporating several other phenomenologically
interesting features, moduli stabilization in such models has been an open
question. We demonstrate here how both the moduli involved can be stabilized,
employing slightly different mechanisms for the two branches of the theory.
This also offers a dynamical mechanism to generate and stabilize the scale for
the Universal Extra Dimensions, another long-standing issue.


title: Zero order estimates for Mahler functions

abstract:
  We give an upper bound for the zero order of the difference between a Mahler
function and an algebraic function. This complements estimates of Nesterenko,
Nishioka, and T\"opfer, among others, who considered polynomials evaluated at
Mahler functions.


title:
Multiband superconductivity due to the electron - LO-phonon interaction
  in strontium titanate and on a SrTiO3/LaAlO3 interface

abstract:
  In strontium titanate, the Froehlich electron - LO-phonon interaction
dominates the electron response and can also provide superconductivity. Because
of high LO-phonon frequencies in SrTiO3, the superconducting system is
non-adiabatic. We demonstrate that the dielectric function approach is an
adequate theoretical method for superconductivity in SrTiO3 and on the
SrTiO3-LaAlO3 interface. The critical temperatures are calculated using
realistic material parameters. The obtained critical temperatures are in line
with experimental data both for bulk and interface superconductivity. The
present method explains the observed multi-dome shape of the critical
temperature in SrTiO3 as a function of the electron concentration due to
multiband superconductivity.