title:
Intra pseudogap- and superconductivity-pair spin and charge fluctuations
  and underdome metal-insulator (fermion-boson)-crossover phenomena as
  keystones of cuprate physics

abstract:
  The most intriguing observation of cuprate experiments is most likely the
metal-insulator-crossover (MIC), seen in the underdome region of the
temperature-doping phase diagram of copper-oxides under a strong magnetic
field, when the superconductivity is suppressed. This MIC, which results in
such phenomena as heat conductivity downturn, anomalous Lorentz ratio,
nonlinear entropy, insulating ground state, nematicity- and stripe-phases and
Fermi pockets, reveals the nonconventional dielectric property of the
pseudogap-normal phase. Since conventional superconductivity appears from a
conducting normal phase, the understanding of how superconductivity arises from
an insulating state becomes a fundamental problem and thus the keystone for all
of cuprate physics. Recently, in interpreting the physics of visualization in
scanning tunneling microscopy (STM) real space nanoregions (NRs), which exhibit
an energy gap, we have succeeded in understanding that the minimum size for
these NRs provides pseudogap and superconductivity pairs, which are single
bosons. In this work, we discuss the intra-particle magnetic spin and charge
fluctuations of these bosons, observed recently in hidden magnetic order and
STM experiments. We find that all the mentioned MIC phenomena can be obtained
in the Coulomb single boson and single fermion two liquid model, which we
recently developed, and the MIC is a crossover of sample percolating NRs of
single fermions into those of single bosons.


title:
Performance Analysis of Sparse Recovery Models for Bad Data Detection
  and State Esti-mation in Electric Power Networks

abstract:
  This paper investigates the sparse recovery models for bad data detection and
state estimation in power networks. Two sparse models, the sparse L1-relaxation
model (L1-R) and the multi-stage convex relaxation model (Capped-L1), are
compared with the weighted least absolute value (WLAV) in the aspects of the
bad data processing capacity and the computational efficiency. Numerical tests
are conducted on power systems with linear and nonlinear measurements. Based on
numerical tests, the paper evaluates the performance of these robust state
estimation mod-els. Furthermore, suggestion on how to select parameter of
sparse recovery models is also given when they are used in elec-tric power
networks.


title:
Characterization of crystal structure and precipitation crystallography
  of a new MgxAl2-xGd phase in Mg97Al1Gd2 alloy

abstract:
  The composition, crystal structure and precipitation crystallography of a
newly found precipitate are characterized by a Cs-corrected scanning
transmission electron microscopy (STEM). The composition of the plate-like
precipitate could be expressed as MgxAl2-xGd (x = 0.38), and its crystal
structure is the same as the fcc type Laves phases Mg2Gd and Al2Gd with the
lattice parameter of 7.92 Angstrom (space group No. 227, Fd-3m). The
orientation relationship between the matrix and precipitate is found to be
(0001)m // (111)p and [10-10]m // [1-10]p, and the habit plane is parallel to
(0001)m // (111)p plane. In addition, this preferred crystallography of phase
transformation is well explained based on the atomic matching in the interface.


title:
A non-perturbative study of the correlation functions of
  three-dimensional Yang-Mills theory

abstract:
  Yang-Mills theory is studied in three dimensions using the equations of
motion of the $1$PI and $3$PI effective actions. The employed self-contained
truncation includes the propagators, the three-point functions and the
four-gluon vertex dynamically. In the gluon propagator also two-loop diagrams
are taken into account. The higher gluonic correlation functions show sizable
deviations from the tree-level only at low momenta. Also the couplings derived
from the vertices agree well down to a few GeV. In addition, different methods
to subtract spurious divergences are explored.


title:
Quantum phase transition, universality and scaling behaviors in the
  spin-1/2 Heisenberg model with ferromagnetic and antiferromagnetic competing
  interactions on honeycomb lattice

abstract:
  The quantum phase transition, scaling behaviors, and thermodynamics in the
spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in
armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on
a honeycomb lattice are systematically studied using the continuous-time
quantum Monte Carlo method. By calculating the Binder ratio $Q_{2}$ and spin
stiffness $\rho$ in two directions for various coupling ratio $\alpha=J'/J$
under different lattice sizes, we found that a quantum phase transition from
the dimerized phase to the stripe phase occurs at the quantum critical point
$\alpha_c=-0.93$. Through the finite-size scaling analysis on $Q_{2}$,
$\rho_{x}$ and $\rho_{y}$, we determined the critical exponent related to the
correlation length $\nu$ to be 0.7212(8), implying that this transition falls
into a classical Heisenberg O(3) universality. A zero magnetization plateau is
observed in the dimerized phase, whose width decreases with increasing
$\alpha$. A phase diagram in the coupling ratio $\alpha$-magnetic field $h$
plane is obtained, where four phases, including dimerized, stripe, canted
stripe and polarized phases are identified. It is also unveiled that the
temperature dependence of the specific heat $C(T)$ for different $\alpha$'s
intersects precisely at one point, similar to that of liquid $^{3}$He under
different pressures and several magnetic compounds under various magnetic
fields. The scaling behaviors of $Q_{2}$, $\rho$ and $C(T)$ are carefully
analyzed. The susceptibility is well compared with the experimental data to
give the magnetic parameters of both compounds.


title: On Isospectral compactness in conformal class for 4-manifolds

abstract:
  Let $(M, g_0)$ be a closed 4-manifold with positive Yamabe invariant and with
$L^2$-small Weyl curvature tensor. Let $g_1 \in [g_0]$ be any metric in the
conformal class of $g_0$ whose scalar curvature is $L^2$-close to a constant.
We prove that the set of Riemannian metrics in the conformal class $[g_0]$ that
are isospectral to $g_1$ is compact in the $C^\infty$ topology.


title: Monoidal category of C*-algebras

abstract:
  We consider the category of C*-algebras equipped with actions of a locally
compact quantum group. We show that this category admits a monoidal structure
satisfying certain natural conditions if and only if the group is
quasitriangular. The monoidal structures are in bijective correspondence with
unitary R-matrices. To prove this result we use only very natural properties
imposed on considered monoidal structures. We assume that monoidal product is a
crossed product, monoidal product of injective morphisms is injective and that
monoidal product reduces to the minimal tensor product when one of the involved
C*-algebras is equipped with a trivial action of the group. No a priori form of
monoidal product is used.


title: The temperature dependence of FeRh's transport properties

abstract:
  The finite-temperature transport properties of FeRh compounds are
investigated by first-principles Density Functional Theory-based calculations.
The focus is on the behavior of the longitudinal resistivity with rising
temperature, which exhibits an abrupt decrease at the metamagnetic transition
point, $T = T_m$ between ferro- and antiferromagnetic phases. A detailed
electronic structure investigation for $T \geq 0$ K explains this feature and
demonstrates the important role of (i) the difference of the electronic
structure at the Fermi level between the two magnetically ordered states and
(ii) the different degree of thermally induced magnetic disorder in the
vicinity of $T_m$, giving different contributions to the resistivity. To
support these conclusions, we also describe the temperature dependence of the
spin-orbit induced anomalous Hall resistivity and Gilbert damping parameter.
For the various response quantities considered the impact of thermal lattice
vibrations and spin fluctuations on their temperature dependence is
investigated in detail. Comparison with corresponding experimental data finds
in general a very good agreement.


title:
A fresh look at linear cosmological constraints on a decaying dark
  matter component

abstract:
  We consider a cosmological model in which a fraction $f$ of the Dark Matter
(DM) is allowed to decay in an invisible relativistic component, and compute
the resulting constraints on both the decay width (or inverse lifetime)
$\Gamma$ and $f$ from purely gravitational arguments. We report a full
derivation of the Boltzmann hierarchy, correcting a mistake in previous
literature, and compute the impact of the decay --as a function of the
lifetime-- on the CMB and matter power spectra. From CMB only, we obtain that
no more than 3.8 % of the DM could have decayed in the time between
recombination and today (all bounds quoted at 95 % CL). We also comment on the
important application of this bound to the case where primordial black holes
constitute DM, a scenario notoriously difficult to constrain. For lifetimes
longer than the age of the Universe, the bounds can be cast as $f\Gamma <
6.3\times10^{-3}$ Gyr$^{-1}$. For the first time, we also checked that
degeneracies with massive neutrinos are broken when information from the large
scale structure is used. Even secondary effects like CMB lensing suffice to
this purpose. Decaying DM models have been invoked to solve a possible tension
between low redshift astronomical measurements of $\sigma_8$ and $\Omega_{\rm
m}$ and the ones inferred by Planck. We reassess this claim finding that with
the most recent BAO, HST and $\sigma_8$ data extracted from the CFHT survey,
the tension is only slightly reduced despite the two additional free
parameters, loosening the bound to $f\Gamma < 15.9\times10^{-3}$ Gyr$^{-1}$.
The bound however improves to $f\Gamma < 5.9\times10^{-3}$ Gyr$^{-1}$ if only
data consistent with the CMB are included. This highlights the importance of
establishing whether the tension is due to real physical effects or unaccounted
systematics, for settling the reach of achievable constraints on decaying DM.


title:
Application of the Signature Method to Pattern Recognition in the CEQUEL
  Clinical Trial

abstract:
  The classification procedure of streaming data usually requires various ad
hoc methods or particular heuristic models. We explore a novel non-parametric
and systematic approach to analysis of heterogeneous sequential data. We
demonstrate an application of this method to classification of the delays in
responding to the prompts, from subjects with bipolar disorder collected during
a clinical trial, using both synthetic and real examples. We show how this
method can provide a natural and systematic way to extract characteristic
features from sequential data.


title: Quark deconfinement in the proto-magnetar model of Long Gamma-Ray Bursts

abstract:
  We investigate the possible implications of quark deconfinement on the
phenomenology of Long Gamma-Ray Bursts focusing, in particular, on the
possibility to describe multiple prompt emission phases in the context of the
proto-magnetar model. Starting from numerical models of rotating Hadron Stars
and Quark Stars in full general relativity we track the electromagnetic
spin-down evolution in both the hadronic and quark phase, linking the two
families through conservation of baryon number and angular momentum. We give
estimates of the timescales and the energetics involved in the spin-down
process deriving, in the relevant spin range, the relation between the initial
and the final masses and rotational energies, whenever hadron-quark conversion
is possible. We show how the results can be used in relevant astrophysical
cases such as the double burst GRB 110709B.


title: Analysis of four-zero textures in $3+1$ framework

abstract:
  The presence of a zero texture in the neutrino mass matrix can indicate the
presence of an underlying symmetry which can generate neutrino mass and mixing.
In this paper, for the first time we study the four-zero textures of the low
energy neutrino mass matrix in the presence of an extra light-sterile neutrino
i.e., the 3+1 neutrino scheme. In our analysis we find that out of the 210
possible four-zero textures only 15 textures are allowed. We divide the allowed
four-zero textures into two classes -- class $A$ in which the value of mass
matrix element $M_{ee}$ is zero and class $B$ in which $M_{ee}$ is non-zero. In
this way we obtain ten possible four-zero textures in class $A$ and five
possible four-zero textures in class $B$. In our analysis we find that, for
normal hierarchy the allowed number of textures in class $A$ ($B$) is nine
(three). For the case of inverted hierarchy we find that, two textures in class
$A$ are disallowed and these textures are different from the disallowed
textures for normal hierarchy in class $A$. However, we find that all the five
textures in class $B$ are allowed for the inverted hierarchy. Based on analytic
expressions for the elements $M_{\alpha\beta}$, we discuss the reasons for
certain textures being disallowed. We also discuss the correlations between the
different parameters of the allowed textures. Finally, we present the
implications of our study on experimental searches for neutrinoless double beta
decay.


title: Regret Bounds for Non-decomposable Metrics with Missing Labels

abstract:
  We consider the problem of recommending relevant labels (items) for a given
data point (user). In particular, we are interested in the practically
important setting where the evaluation is with respect to non-decomposable
(over labels) performance metrics like the $F_1$ measure, and the training data
has missing labels. To this end, we propose a generic framework that given a
performance metric $\Psi$, can devise a regularized objective function and a
threshold such that all the values in the predicted score vector above and only
above the threshold are selected to be positive. We show that the regret or
generalization error in the given metric $\Psi$ is bounded ultimately by
estimation error of certain underlying parameters. In particular, we derive
regret bounds under three popular settings: a) collaborative filtering, b)
multilabel classification, and c) PU (positive-unlabeled) learning. For each of
the above problems, we can obtain precise non-asymptotic regret bound which is
small even when a large fraction of labels is missing. Our empirical results on
synthetic and benchmark datasets demonstrate that by explicitly modeling for
missing labels and optimizing the desired performance metric, our algorithm
indeed achieves significantly better performance (like $F_1$ score) when
compared to methods that do not model missing label information carefully.


title:
A numerical model of parsec scale SSC morphologies and their radio
  emission

abstract:
  In current models for jets of AGNs and their emission a shortcoming in the
description and understanding of the connection between the largest and
smallest scales exists. In this work we present a spatially resolved SSC model
extended to parsec scales, which opens the possibility of probing the
connections between the radio and high energy properties. We simulate an
environment that leads to Fermi-I acceleration of leptonic particles and
includes the full time dependence of this process. Omitting the restriction of
a finite downstream region, we find that the spectral energy distribution (SED)
produced by the accelerated particles strongly depends on their radial
confinement behind the shock. The requirement, for both the restriction of high
energy emission to a small region around the shock and the production of a flat
radio spectrum, is an initial linear increase of the radius immediately behind
the shock, which then slows down with increasing distance from the shock. A
good representation of the data for the Blazar \textit{Mkn501} is achieved by a
parameterized log-function. The prediction for the shape of the radio blob is
given by the flux distribution with respect to shock distance.


title: Black holes and quantum theory on manifolds with singular potentials

abstract:
  Quantum theory on manifolds with boundaries have been studied extensively
through von Neumann analysis of self adjoint operators. We approach the issues
through introduction of singular $\delta$ and $\delta'$ potentials. The
advantages of this are pointed out as a model for black hole and in several
other examples.


title: Random Access Protocols for Massive MIMO

abstract:
  5G wireless networks are expected to support new services with stringent
requirements on data rates, latency and reliability. One novel feature is the
ability to serve a dense crowd of devices, calling for radically new ways of
accessing the network. This is the case in machine-type communications, but
also in urban environments and hotspots. In those use cases, the high number of
devices and the relatively short channel coherence interval do not allow
per-device allocation of orthogonal pilot sequences. This article motivates the
need for random access by the devices to pilot sequences used for channel
estimation, and shows that Massive MIMO is a main enabler to achieve fast
access with high data rates, and delay-tolerant access with different data rate
levels. Three pilot access protocols along with data transmission protocols are
described, fulfilling different requirements of 5G services.


title: Eplett's theorem for self-converse generalised tournaments

abstract:
  The converse of a tournament is obtained by reversing all arcs. If a
tournament is isomorphic to its converse, it is called self--converse. Eplett
provided a necessary and sufficient condition for a sequence of integers to be
realisable as the score sequence of a self--converse tournament. In this paper
we extend this result to generalised tournaments.


title:
Higher derivative corrections to WZ action: One RR, one NSNS and one NS
  couplings

abstract:
  In the first part of this paper, we calculate the disk-level S-matrix
elements of one RR, one NSNS and one NS vertex operators, and show that they
are consistent with the amplitudes that have been recently found by applying
various Ward identities. We show that the massless poles of the amplitude at
low energy are fully consistent with the known D-brane couplings at order
$\alpha'^2$ which involve one RR or NSNS and two NS fields. Subtracting the
massless poles, we then find the contact terms of one RR, one NSNS and one NS
fields at order $\alpha'^2$. Some of these terms are reproduced by the Taylor
expansion and the pull-back of two closed string couplings, some other
couplings are reproduced by linear graviton in the second fundamental form and
by the B-field in the gauge field extension $F\rightarrow F+B$, in one closed
and two open string couplings.
  In the second part, we write all independent covariant contractions of one
RR, one NSNS and one NS fields with unknown coefficients. We then constrain the
couplings to be consistent with the linear T-duality and with the above contact
terms. Interestingly, we have found that up to total derivative terms and
Bianchi identities, these constraints uniquely fix all the unknown
coefficients.


title: The poset of rational cones

abstract:
  We introduce a natural partial order on the set Cones(d) of rational cones in
R^d. The poset NPol(d-1) of normal polytopes in R^{d-1} embeds into Cones(d)
via the homogenization map. The order in Cones(d) is conjecturally the
inclusion order. We prove this for d=3 and show a stronger version of the
connectivity of Cones(d) for all d. Topological aspects of the conjecture are
also discussed.


title:
Small-volume effect enables the spine robust, sensitive and efficient
  information transfer

abstract:
  Why is the spine of a neuron so small that only small numbers of molecules
can exist and reactions inevitably become stochastic? Despite such noisy
conditions, we previously showed that the spine exhibits robust, sensitive and
efficient features of information transfer using probability of Ca$^{2+}$
increase; however, their mechanisms remains unknown. Here we show that the
small-volume effect enables robust, sensitive and efficient information
transfer in the spine volume, but not in the cell volume. In the spine volume,
intrinsic noise in reactions becomes larger than extrinsic noise of input,
making robust information transfer against input fluctuation. Stochastic
facilitation of Ca$^{2+}$ increase occurs in the spine volume, making higher
sensitivity to lower intensity of input. Volume-dependency of information
transfer enables efficient information transfer per input in the spine volume.
Thus, we propose that the small-volume effect is the functional reasons why the
spine has to be so small.


title:
The Ziegler spectrum and Ringel's quilt of the A-infinity plane
  singularity

abstract:
  We describe the Cohen-Macaulay part of the Ziegler spectrum and calculate
Ringel's quilt of the category of finitely generated Cohen--Macaulay modules
over the A-infinity plane singularity.


title:
The Stefan outflow in a multicomponent vapor-gas atmosphere around a
  droplet and its role for cloud expansion

abstract:
  A new comprehensive analysis of Stefan's flow caused by a free growing
droplet in vapor-gas atmosphere with several condensing components is
presented. This analysis, based on the nonstationary heat and material balance
and diffusion transport equations, shows the appearance of the Stefan inflow in
the vicinity of the growing droplet and the outflow at large distances from the
droplet as a consequence of nonisothermal condensation. For an ensemble of
droplets in the atmospheric cloud, this flow provides an increase of the total
volume of the cloud, which can be treated as cloud thermal expansion and leads
to floating the cloud as a whole due to buoyancy. We have formulated the
self-similar solutions of the nonstationary diffusion and heat conduction
equations for a growing multicomponent droplet and have derived analytical
expressions for the nonstationary velocity profile of Stefan's flow and the
expansion volume of the vapor-gas mixture around the growing droplet. To
illustrate the approach, we computed these quantities in the case of droplet of
stationary composition in air with several specific vapors
(${\mathrm{C_2H_5OH/H_2O}}$; ${\mathrm{H_2SO_4/H_2O}}$; ${\mathrm{H_2O}}$).


title: Continuous Transmission of Spatially-Coupled LDPC Code Chains

abstract:
  We propose a novel encoding/transmission scheme called continuous chain (CC)
transmission that is able to improve the finite-length performance of a system
using spatially-coupled low-density parity-check (SC-LDPC) codes. In CC
transmission, instead of transmitting a sequence of independent codewords from
a terminated SC-LDPC code chain, we connect multiple chains in a layered
format, where encoding, transmission, and decoding are now performed in a
continuous fashion. The connections between chains are created at specific
points, chosen to improve the finite-length performance of the code structure
under iterative decoding. We describe the design of CC schemes for different
SC-LDPC code ensembles constructed from protographs: a (J,K)-regular SC-LDPC
code chain, a spatially-coupled repeat-accumulate (SC-RA) code, and a
spatially-coupled accumulate-repeat-jagged-accumulate (SC- ARJA) code. In all
cases, significant performance improvements are reported and, in addition, it
is shown that using CC transmission only requires a small increase in decoding
complexity and decoding delay with respect to a system employing a single
SC-LDPC code chain for transmission.


title:
Observation of four-photon absorption and determination of corresponding
  nonlinearities in CdS quantum dots

abstract:
  Bound- and excited-state electronic nonlinearities in CdS quantum dots have
been investigated by Degenerate Four-Wave Mixing (DFWM) and Z-scan techniques
in the femtosecond time regime. This QD sample shows Kerr-type nonlinearity for
incident beam intensity below 0.18 TW/cm$^2$. However, further increment in
intensity results in four-photon absorption (4PA) indicated by open- and
closed-aperture Z-scan experiments. Comparing open-aperture Z-scan experimental
results with theoretical models, the 4PA coefficient $\alpha_4$ has been
deduced. Furthermore, third-order nonlinear index $\gamma$ and refractive-index
change coefficient $\sigma_r$ corresponding to excited-state electrons due to
4PA have been calculated from the closed-aperture Z-scan results. UV-visible
absorption and photoluminescence experimental results are analyzed towards
estimating band gap energy and defect state energy. Time Correlated Single
Photon Counting (TCSPC) was employed to determine the decay time corresponding
to band-edge and defect states. The linear and nonlinear optical techniques
have allowed the direct observation of lower and higher-order electronic states
in CdS quantum dots.


title:
Photo-modulation of the spin Hall conductivity of mono-layer transition
  metal dichalcogenides

abstract:
  We report on a possible optical tuning of the spin Hall conductivity in
mono-layer transition metal dichalcogenides. Light beams of frequencies much
higher than the energy scale of the system (the \textit{off-resonant}
condition) does not excite electrons but rearranges the band structure. The
rearrangement is quantitatively established using the Floquet formalism. For
such a system of mono-layer transition metal dichalcogenides, the spin Hall
conductivity (calculated with the Kubo expression in presence of disorder)
exhibits a drop at higher frequencies and lower intensities. Finally, we
compare the spin Hall conductivity of the higher spin-orbit coupled WSe$_{2} $
to MoS$_{2} $; the spin Hall conductivity of WSe$_{2}$ was found to be larger.


title: Fitting tails affected by truncation

abstract:
  In several applications, ultimately at the largest data, truncation effects
can be observed when analysing tail characteristics of statistical
distributions. In some cases truncation effects are forecasted through physical
models such as the Gutenberg-Richter relation in geophysics, while at other
instances the nature of the measurement process itself may cause under recovery
of large values, for instance due to flooding in river discharge readings.
Recently Beirlant et al. (2016) discussed tail fitting for truncated
Pareto-type distributions. Using examples from earthquake analysis, hydrology
and diamond valuation we demonstrate the need for a unified treatment of
extreme value analysis for truncated heavy and light tails. We generalise the
classical Peaks over Threshold approach for the different max-domains of
attraction with shape parameter $\xi>-1/2$ to allow for truncation effects. We
use a pseudo-maximum likelihood approach to estimate the model parameters and
consider extreme quantile estimation and reconstruction of quantile levels
before truncation whenever appropriate. We report on some simulation
experiments and provide some basic asymptotic results.


title:
Comparative study of Weyl semimetal, topological and Chern insulators:
  thin-film point of view

abstract:
  Regarding three-dimensional (3D) topological insulators and semimetals as a
stack of constituent 2D topological (or sometimes non-topological) layers is a
useful viewpoint. Primarily, concrete theoretical models of the paradigmatic 3D
topological phases such as Weyl semimetal (WSM), strong and weak topological
insulators (STI/WTI), and Chern insulator (CI), are often constructed in that
way. Secondarily, fabrication of the corresponding 3D topological material is
also done in the same spirit; epitaxial growth technique is employed, making
the resulting sample in the form of a thin film. Here, in this paper we
calculate $\mathbb{Z}$- and $\mathbb{Z}_2$-indices and study evolution of the
topological properties of such thin films of 3D topological systems, making
also a comparative study of CI- vs. TI-type models belonging to different
symmetry classes in this respect. Through this comparative study we suggest
that WSM is to CI as STI is to WTI. Finally, to test the robustness of our
scenario against disorder and relevance to experiments we have also studied
numerically the two-terminal conductance of the system using transfer matrix
method.


title: Joint Recursive Monocular Filtering of Camera Motion and Disparity Map

abstract:
  Monocular scene reconstruction is essential for modern applications such as
robotics or autonomous driving. Although stereo methods usually result in
better accuracy than monocular methods, they are more expensive and more
difficult to calibrate. In this work, we present a novel second order optimal
minimum energy filter that jointly estimates the camera motion, the disparity
map and also higher order kinematics recursively on a product Lie group
containing a novel disparity group. This mathematical framework enables to cope
with non-Euclidean state spaces, non-linear observations and high dimensions
which is infeasible for most classical filters. To be robust against outliers,
we use a generalized Charbonnier energy function in this framework rather than
a quadratic energy function as proposed in related work. Experiments confirm
that our method enables accurate reconstructions on-par with state-of-the-art.


title:
Measuring the trilinear neutral Higgs boson couplings in the minimal
  supersymmetric standard model at $e^+ e^-$ colliders in the light of the
  discovery of a Higgs boson

abstract:
  We consider the measurement of the trilinear couplings of the neutral Higgs
bosons in the Minimal Supersymmetric Standard Model~(MSSM) at a high energy
$e^+ e^-$ linear collider in the light of the discovery of a Higgs boson at the
CERN Large Hadron Collider~(LHC). We identify the state observed at the LHC
with the lightest Higgs boson~($h^0$) of the MSSM, and impose the constraints
following from this identification, as well as other experimental constraints
on the MSSM parameter space. In order to measure trilinear neutral Higgs
couplings, we consider different processes where the heavier Higgs boson
($H^0$) of the MSSM is produced in electron-positron collisions, which
subsequently decays into a pair of lighter Higgs bosons. We identify the
regions of the MSSM parameter space where it may be possible to measure the
trilinear couplings of the Higgs boson at a future electron-positron collider.
A measurement of the trilinear Higgs couplings is a crucial step in the
construction of the Higgs potential, and hence in establishing the phenomena of
spontaneous symmetry breaking in gauge theories.


title:
Derived equivalences of canonical covers of hyperelliptic and Enriques
  surfaces in positive characteristic

abstract:
  We prove that any Fourier--Mukai partner of an abelian surface over an
algebraically closed field of positive characteristic is isomorphic to a moduli
space of Gieseker-stable sheaves. We apply this fact to show that the
Fourier--Mukai set of canonical covers of hyperelliptic and Enriques surfaces
over an algebraically closed field of characteristic greater than three is
trivial. These results extend to positive characteristic earlier results of
Bridgeland--Maciocia and Sosna.


title: Mechanism of chain collapse of strongly charged polyelectrolytes

abstract:
  We perform extensive molecular dynamics simulations of a charged polymer in a
good solvent in the regime where the chain is collapsed. We analyze the
dependence of the gyration radius $R_g $ on the reduced Bjerrum length $\ell_B$
and find two different regimes. In the first one, called as a weak
electrostatic regime, $R_g \sim \ell_B^{-1/2}$, which is consistent only with
the predictions of the counterion-fluctuation theory. In the second one, called
a strong electrostatic regime, we find $R_g \sim \ell_B^{-1/5}$. To explain the
novel regime we modify the counterion-fluctuation theory.


title:
Towards Playlist Generation Algorithms Using RNNs Trained on
  Within-Track Transitions

abstract:
  We introduce a novel playlist generation algorithm that focuses on the
quality of transitions using a recurrent neural network (RNN). The proposed
model assumes that optimal transitions between tracks can be modelled and
predicted by internal transitions within music tracks. We introduce modelling
sequences of high-level music descriptors using RNNs and discuss an experiment
involving different similarity functions, where the sequences are provided by a
musical structural analysis algorithm. Qualitative observations show that the
proposed approach can effectively model transitions of music tracks in
playlists.


title:
Primitive permutation groups with a suborbit of length 5 and
  vertex-primitive graphs of valency 5

abstract:
  We classify finite primitive permutation groups having a suborbit of length
5. As a corollary, we obtain a classification of finite vertex-primitive graphs
of valency 5. In the process, we also classify finite almost simple groups that
have a maximal subgroup isomorphic to $\mathrm{Alt}(5)$ or $\mathrm{Sym}(5)$.


title:
On implementation of the minimal perimeter triangle enclosing a convex
  polygon algorithm

abstract:
  A high-level description of an algorithm which computes the minimum perimeter
triangle enclosing a convex polygon in linear time exists in the literature.
Besides that an implementation of the algorithm is given in the subsequent
work. However, that implementation is incomplete and omits certain common
cases. This note's contribution consist of a modern treatment of the algorithm
and its consequent simple and robust implementation.


title:
Well-posedness of a model of nonhomogeneous compressible-incompressible
  fluids

abstract:
  We propose a model of a density-dependent compressible-incompressible fluid,
which is intended as a simplified version of models based on mixture theory as,
for instance, those arising in the study of biofilms, tumor growth and
vasculogenesis. Though our model is, in some sense, close to the
density-dependent incompressible Euler equations, it presents some differences
that require a different approach from an analytical point of view. In this
paper, we establish a result of local existence and uniqueness of solutions in
Sobolev spaces to our model, using paradifferential techniques. Besides, we
show the convergence of both a continuous version of the Chorin-Temam
projection method, viewed as a singular perturbation type approximation, and
the 'artificial compressibility method'.


title:
Radially symmetric shadow wave solutions to the system of pressureless
  gas dynamics in arbitrary dimensions

abstract:
  Radially symmetric shadow wave solutions to the system of multidimensional
pressureless gas dynamics are introduced, which allow one to capture
concentration of mass. The transformation to a one-dimensional system with
source terms is performed and physically meaningful boundary conditions at the
origin are determined. Entropy conditions are derived and applied to single out
physical (nonnegative mass) and dissipative (entropic) solutions. A complete
solution to the pseudo-Riemann problem with initial data exhibiting a single
shock on a sphere is obtained.


title:
A multistate dynamic site occupancy model for spatially aggregated
  sessile communities

abstract:
  Markov community models have been applied to sessile organisms because such
models facilitate estimation of transition probabilities by tracking species
occupancy at many fixed observation points over multiple periods of time.
Estimation of transition probabilities of sessile communities seems easy in
principle but may still be difficult in practice because resampling error
(i.e., a failure to resample exactly the same location at fixed points) may
cause significant estimation bias. Previous studies have developed novel
analytical methods to correct for this estimation bias. However, they did not
consider the local structure of community composition induced by the aggregated
distribution of organisms that is typically observed in sessile assemblages and
is very likely to affect observations. In this study, we developed a multistate
dynamic site occupancy model to estimate transition probabilities that accounts
for resampling errors associated with local community structure. The model
applies a nonparametric multivariate kernel smoothing methodology to the latent
occupancy component to estimate the local state composition near each
observation point, which is assumed to determine the probability distribution
of data conditional on the occurrence of resampling error. By using computer
simulations, we confirmed that an observation process that depends on local
community structure may bias inferences about transition probabilities. By
applying the proposed model to a real dataset of intertidal sessile
communities, we also showed that estimates of transition probabilities and of
the properties of community dynamics may differ considerably when spatial
dependence is taken into account. Our approach can even accommodate an
anisotropic spatial correlation of species composition, and may serve as a
basis for inferring complex nonlinear ecological dynamics.


title: Ergodicity for the stochastic quantization problems on the 2D-torus

abstract:
  In this paper we study the stochastic quantization problem on the two
dimensional torus and establish ergodicity for the solutions. Furthermore, we
prove a characterization of the $\Phi^4_2$ quantum field on the torus in terms
of its density under translation. We also deduce that the $\Phi^4_2$ quantum
field on the torus is an extreme point in the set of all $L$-symmetrizing
measures, where $L$ is the corresponding generator.


title:
Spontaneous emergence of van der Waals interaction in piezo-resonators -
  a road to phase coherence at mK temperatures

abstract:
  We present the experimental results on the spontaneous emergence of the phase
coherence in the system of oscillating electric dipoles in quartz
piezo-resonators caused by the van der Waals interaction. Spontaneous emergence
of the phase coherence in these systems is manifested via
temperature-dependent, extremely accurate tune-up of their resonance
frequencies in 9th order with relative spectral line-width $\delta f_0/f_0$
less than 3.10$^{-8}$ (this number is comparable with that in lasers) along
with the very high frequency stability characterized by the low values of the
Allan deviations. We also show that the application of an incoherent (noise)
excitation signal leads to a spontaneous formation of the phase coherent state,
and that the dissipation processes do not affect this phase coherent state
(i.e. the resonance frequency of the system). All above-mentioned signatures
are typical characteristics for a Bose-Einstein condensate of excitations.
Smallness of the relative spectral lime-width in quartz piezo-resonators opens
their potential application as alternative time etalons.


title: Hua's Theorem with the Primes in Piatetski-Shapiro Prime Sets

abstract:
  In this paper, we study the hybrid problem of Hua's theorem and the
Piatetski-Shapiro prime number theorem, and obtain results in this direction of
the nonhomogeneous case $k=3$, which deepen the classical result of Hua.


title: Hierarchical self-assembly of nanoparticles for optical metamaterials

abstract:
  Hierarchical self-assembly arranges nanostructures at different length
scales. It gradually becomes an effective method of fabricating artificial
metamaterials from composite nanostructures tailored for a particular response.
Hierarchical self-assembly overcomes shortcomings of "top-down" methods by
significantly reducing fabrication time and making it possible to form bulk
materials. Here we report an application of hierarchical self-assembly of metal
nanoparticles for the creation of the first isotropic optical metamaterial with
strong artificial magnetism in blue light. We have used colloidal self-assembly
to create artificial "nanomolecules" that generate the desired magnetic
response and microfluidic self-assembly to produce a bulk metastructure. We
demonstrate that the magnetic response of the final material is accurately
described by an isotropic magnetic permeability that satisfies the principle of
locality. Our approach unlocks the fabrication of large volumes of composite
nanomaterials. Moreover, the spatial disorder inherent to this "bottom-up"
method holds the key to solving the non-locality problem. The technique can be
readily extended to the future generations of low-loss optical metamaterials
made of dielectric nano-blocks to bypass the limitations of optical losses
associated with plasmonic resonances in noble metals.


title:
A quantitative Riemann-Lebesgue lemma with application to equations with
  memory

abstract:
  An elementary proof of a quantitative version of the Riemann-Lebesgue lemma
for functions supported on the half line is given. Applications to differential
models with memory are discussed.


title:
Smart Massive MIMO: An Infrastructure toward 5th Generation Smart Cities
  Network

abstract:
  On the Optimizing of Wireless Networks and toward improving the future 5th
Generation mobile Network Infrastructure, we propose a novel infrastructure
that can be the next Smart City Network. Our proposed Infrastructure takes into
consideration most future demands and challenges, includes Capacity,
Reliability, Scalability, and Flexibility. To deal with this issues we propose
a wireless network infrastructure that is based on latest technologies of
Massive MIMO systems. We further extend our infrastructure with many smart
features, to be capable of coping with Cloud Computing, Smartphones, IoT and
other intelligence-based services. The proposed infrastructure uses Network
Functions Virtualization (NFV), Software-Defined Networking
  (SDN), Virtual Antenna Arrays (VAA) and Joint Beamforming to afford
flexibility. We further propose a Terminal-centric rather than a Cell-centric
based Infrastructure, which optimize interference aware environment and lead to
higher capacity and reliability. The new infrastructure includes multi-purpose
nodes that run a Network Operating System (NOS). This node will afford a
scalable and flexible cost effective and semi-distributed network resources.
Other propositions that meet Power-Effective, Cost-Effective, and Scenery aware
design are discussed. Keywords - Wireless Network Infrastructure, Massive MIMO,
Joint Beamforming, Cloud-based Networks, NFV, SDN, Cloud Computing, Grid
Computing, and Distributed Systems.


title: A general scheme for information interception in the ping pong protocol

abstract:
  The existence of an undetectable eavesdropping of dense coded information has
been already demonstrated by Pavi\v{c}i\'c for the quantum direct communication
based on the ping-pong paradigm. However, a) the explicit scheme of the circuit
is only given and no design rules are provided, b) the existence of losses is
implicitly assumed, c) the attack has been formulated against qubit based
protocol only and it is not clear whether it can be adapted to higher
dimensional systems. These deficiencies are removed in the presented
contribution. A new generic eavesdropping scheme built on a firm theoretical
background is proposed. In contrast to the previous approach, it does not refer
to the properties of the vacuum state, so it is fully consistent with the
absence of losses assumption. Moreover, the scheme applies to the communication
paradigm based on signal particles of any dimensionality. It is also shown that
some well known attacks are special cases of the proposed scheme.


title:
Efficient differentially private learning improves drug sensitivity
  prediction

abstract:
  Users of a personalised recommendation system face a dilemma: recommendations
can be improved by learning from data, but only if the other users are willing
to share their private information. Good personalised predictions are vitally
important in precision medicine, but genomic information on which the
predictions are based is also particularly sensitive, as it directly identifies
the patients and hence cannot easily be anonymised. Differential privacy has
emerged as a potentially promising solution: privacy is considered sufficient
if presence of individual patients cannot be distinguished. However,
differentially private learning with current methods does not improve
predictions with feasible data sizes and dimensionalities. Here we show that
useful predictors can be learned under powerful differential privacy
guarantees, and even from moderately-sized data sets, by demonstrating
significant improvements with a new robust private regression method in the
accuracy of private drug sensitivity prediction. The method combines two key
properties not present even in recent proposals, which can be generalised to
other predictors: we prove it is asymptotically consistently and efficiently
private, and demonstrate that it performs well on finite data. Good finite data
performance is achieved by limiting the sharing of private information by
decreasing the dimensionality and by projecting outliers to fit tighter bounds,
therefore needing to add less noise for equal privacy. As already the
simple-to-implement method shows promise on the challenging genomic data, we
anticipate rapid progress towards practical applications in many fields, such
as mobile sensing and social media, in addition to the badly needed precision
medicine solutions.


title:
Variational construction of positive entropy invariant measures of
  Lagrangian systems and Arnold diffusion

abstract:
  We develop a variational method for constructing positive entropy invariant
measures of Lagrangian systems without assuming transversal intersections of
stable and unstable manifolds, and without restrictions to the size of
non-integrable perturbations. We apply it to a family of two and a half degrees
of freedom a-priori unstable Lagrangians, and show that if we assume that there
is no topological obstruction to diffusion (precisely formulated in terms of
topological non-degeneracy of minima of the Peierl's barrier function), then
there exists a vast family of "horsheshoes", such as "shadowing" ergodic
positive entropy measures having precisely any closed set of invariant tori in
its support. Furthermore, we give bounds on the topological entropy and the
"drift acceleration" in any part of a region of instability in terms of a
certain extremal value of the Fr\'{e}chet derivative of the action functional,
generalizing the angle of splitting of separatrices. The method of construction
is new, and relies on study of formally gradient dynamics of the action
(coupled parabolic semilinear partial differential equations on unbounded
domains). We apply recently developed techniques of precise control of the
local evolution of energy (in this case the Lagrangian action), energy
dissipation and flux. In Part II of the paper we will apply the theory to
obtain sharp bounds for topological entropy and drift acceleration for the same
class of equations in the case of small perturbations.


title:
Goal Set Inverse Optimal Control and Iterative Re-planning for
  Predicting Human Reaching Motions in Shared Workspaces

abstract:
  To enable safe and efficient human-robot collaboration in shared workspaces
it is important for the robot to predict how a human will move when performing
a task. While predicting human motion for tasks not known a priori is very
challenging, we argue that single-arm reaching motions for known tasks in
collaborative settings (which are especially relevant for manufacturing) are
indeed predictable. Two hypotheses underlie our approach for predicting such
motions: First, that the trajectory the human performs is optimal with respect
to an unknown cost function, and second, that human adaptation to their
partner's motion can be captured well through iterative re-planning with the
above cost function. The key to our approach is thus to learn a cost function
which "explains" the motion of the human. To do this, we gather example
trajectories from pairs of participants performing a collaborative assembly
task using motion capture. We then use Inverse Optimal Control to learn a cost
function from these trajectories. Finally, we predict reaching motions from the
human's current configuration to a task-space goal region by iteratively
re-planning a trajectory using the learned cost function. Our planning
algorithm is based on the trajectory optimizer STOMP, it plans for a 23 DoF
human kinematic model and accounts for the presence of a moving collaborator
and obstacles in the environment. Our results suggest that in most cases, our
method outperforms baseline methods when predicting motions. We also show that
our method outperforms baselines for predicting human motion when a human and a
robot share the workspace.


title:
Screening Effects on the Binding Energy and Stability of Quarkonia
  States

abstract:
  We have studied the thermal stability of Quarkonia states by computing the
effects of color-screening and vacuum screening based on a temperature
dependent screened coulomb plus power potential for the quark-antiquark
interaction. Medium effects on the properties of charmonia and bottomonia
states are studied. The color screening and the vacuum screening effects on the
stability of the quarkonia states are also separately calculated for
comparison.


title: Higher order relativistic galaxy number counts: dominating terms

abstract:
  We review the number counts to second order concentrating on the terms which
dominate on sub horizon scales. We re-derive the result for these terms and
compare it with the different versions found in the literature. We generalize
our derivation to higher order terms, especially the third order number counts
which are needed to compute the 1-loop contribution to the power spectrum.


title:
Completeness of Inertial Modes of an Incompressible Non-Viscous Fluid in
  a Corotating Ellipsoid

abstract:
  Inertial modes are the eigenmodes of contained rotating fluids restored by
the Coriolis force. When the fluid is incompressible, inviscid and contained in
a rigid container, these modes satisfy Poincar\'e's equation that has the
peculiarity of being hyperbolic with boundary conditions. Inertial modes are
therefore solutions of an ill-posed boundary-value problem. In this paper we
investigate the mathematical side of this problem. We first show that the
Poincar\'e problem can be formulated in the Hilbert space of square-integrable
functions, with no hypothesis on the continuity or the differentiability of
velocity fields. We observe that with this formulation, the Poincar\'e operator
is bounded and self-adjoint and as such, its spectrum is the union of the point
spectrum (the set of eigenvalues) and the continuous spectrum only. When the
fluid volume is an ellipsoid, we show that the inertial modes form a complete
base of polynomial velocity fields for the square-integrable velocity fields
defined over the ellipsoid and meeting the boundary conditions. If the
ellipsoid is axisymmetric then the base can be identified with the set of
Poincar\'e modes, first obtained by Bryan (1889), and completed with the
geostrophic modes.


title:
Detection of solar-like oscillations in relics of the Milky Way:
  asteroseismology of K giants in M4 using data from the NASA K2 mission

abstract:
  Asteroseismic constraints on K giants make it possible to infer radii, masses
and ages of tens of thousands of field stars. Tests against independent
estimates of these properties are however scarce, especially in the metal-poor
regime. Here, we report the detection of solar-like oscillations in 8 stars
belonging to the red-giant branch and red-horizontal branch of the globular
cluster M4. The detections were made in photometric observations from the K2
Mission during its Campaign 2. Making use of independent constraints on the
distance, we estimate masses of the 8 stars by utilising different combinations
of seismic and non-seismic inputs. When introducing a correction to the Delta
nu scaling relation as suggested by stellar models, for RGB stars we find
excellent agreement with the expected masses from isochrone fitting, and with a
distance modulus derived using independent methods. The offset with respect to
independent masses is lower, or comparable with, the uncertainties on the
average RGB mass (4-10%, depending on the combination of constraints used). Our
results lend confidence to asteroseismic masses in the metal poor regime. We
note that a larger sample will be needed to allow more stringent tests to be
made of systematic uncertainties in all the observables (both seismic and
non-seismic), and to explore the properties of RHB stars, and of different
populations in the cluster.


title: Local Convergence Properties of Douglas--Rachford and ADMM

abstract:
  The Douglas--Rachford (DR) and alternating direction method of multipliers
(ADMM) are two proximal splitting algorithms designed to minimize the sum of
two proper lower semi-continuous convex functions whose proximity operators are
easy to compute. The goal of this work is to understand the local linear
convergence behaviour of DR/ADMM when the involved functions are moreover
partly smooth. More precisely, when the two functions are partly smooth
relative to their respective smooth submanifolds, we show that DR/ADMM (i)
identifies these manifolds in finite time; (ii) enters a local linear
convergence regime. When both functions are locally polyhedral, we show that
the optimal convergence radius is given in terms of the cosine of the
Friedrichs angle between the tangent spaces of the identified submanifolds.
Under polyhedrality of both functions, we also provide condition sufficient for
finite convergence of DR. The obtained results are illustrated by several
concrete examples and supported by numerical experiments.


title: Egyptian Fractions with odd denominators

abstract:
  The number of solutions of the diophantine equation $\sum_{i=1}^k
\frac{1}{x_i}=1,$ in particular when the $x_i$ are distinct odd positive
integers is investigated. The number of solutions $S(k)$ in this case is, for
odd $k$: \[\exp \left( \exp \left( c_1\, \frac{k}{\log k}\right)\right) \leq
S(k) \leq \exp \left( \exp \left(c_2\, k \right)\right) \] with some positive
constants $c_1$ and $c_2$. This improves upon an earlier lower bound of $S(k)
\geq \exp \left( (1+o(1))\frac{\log 2}{2} k^2\right)$.


title:
A Multi-step Inertial Forward--Backward Splitting Method for Non-convex
  Optimization

abstract:
  In this paper, we propose a multi-step inertial Forward--Backward splitting
algorithm for minimizing the sum of two non-necessarily convex functions, one
of which is proper lower semi-continuous while the other is differentiable with
a Lipschitz continuous gradient. We first prove global convergence of the
scheme with the help of the Kurdyka-{\L}ojasiewicz property. Then, when the
non-smooth part is also partly smooth relative to a smooth submanifold, we
establish finite identification of the latter and provide sharp local linear
convergence analysis. The proposed method is illustrated on a few problems
arising from statistics and machine learning.


title:
Evaluating a Development Framework for Engineering Internet of Things
  Applications

abstract:
  A critical challenge is to enable IoT application development with minimal
effort from various stakeholders involved in the development process. Several
approaches to tacking this challenge have been proposed in the fields of
wireless sensor networks and ubiquitous and pervasive computing, regarded as
precursors to the modern day of IoT. However, although existing approaches
provide a wide range of features, stakeholders have specific application
development requirements and choosing an appropriate approach requires thorough
evaluations on different aspects. To date, this aspect has been investigated to
a limited extend. In view of this, this paper provides an extensive set of
evaluations based on our previous work on IoT application development
framework. Specifically, we evaluate our approach in terms of (1) development
effort: the effort required to create a new application, (2) reusability: the
extend to which software artifacts can be reused during application
development, (3) expressiveness: the characteristics of IoT applications that
can be modeled using our approach, (4) memory metrics: the amount of memory and
storage a device needs to consume in order to run an application under our
framework, and (5) comparison of our approach with state of the art in IoT
application development on various dimensions, which does not only provide a
comprehensive view of state of the art, but also guides developers in selecting
an approach given application requirements in hand. We believe that the above
different aspects provide the research community with insight into evaluating,
selecting, and developing useful IoT frameworks and applications.


title:
Precise calculations of astrophysically important allowed and forbidden
  transitions of Xe VIII

abstract:
  The present work reports transition line parameters for Xe VIII, which are
potentially important for astrophysics in view of recent observations of
multiply ionized xenon in hot white dwarfs. The relativistic coupled-cluster
method is employed here to calculate the E1, E2, and M1 transition line
parameters with high accuracy. The E1 oscillator strengths and probabilities of
E2 and M1 transitions are determined using theoretical amplitudes and
experimental energy values. The calculated branching ratios and the lifetimes
are supplemented to the transition parameters. Accurate presentation of these
calculated data is crucial for density estimation in several stellar and
inter-stellar media.


title: Quantized Weyl algebras at roots of unity

abstract:
  We classify the centers of the quantized Weyl algebras that are PI and derive
explicit formulas for the discriminants of these algebras over a general class
of polynomial central subalgebras. Two different approaches to these formulas
are given: one based on Poisson geometry and deformation theory, and the other
using techniques from quantum cluster algebras. Furthermore, we classify the PI
quantized Weyl algebras that are free over their centers and prove that their
discriminants are locally dominating and effective. This is applied to solve
the automorphism and isomorphism problems for this family of algebras and their
tensor products.


title: Cycloidal versus skyrmionic states in mesoscopic chiral magnets

abstract:
  When subjected to the interfacially induced Dzyaloshinskii-Moriya
interaction, the ground state in thin ferromagnetic films with high
perpendicular anisotropy is cycloidal. The period of this cycloidal state
depends on the strength of the Dzyaloshinskii-Moriya interaction. In this work,
we have studied the effect of confinement on the magnetic ground state and
excited states, and we determined the phase diagram of thin strips and thin
square platelets by means of micromagnetic calculations. We show that multiple
cycloidal states with different periods can be stable in laterally confined
films, where the period of the cycloids does not depend solely on the
Dzyaloshinskii-Moriya interaction strength but also on the dimensions of the
film. The more complex states comprising skyrmions are also found to be stable,
though with higher energy.


title:
Controllably releasing long-lived quantum memory for photonic
  polarization qubit into multiple separate photonic channels

abstract:
  We report an experiment in which long-lived quantum memories for photonic
polarization qubits (PPQs) are controllably released into any one of multiple
separate channels. The PPQs are implemented with an arbitrarily-polarized
coherent signal light pulses at the single-photon level and are stored in cold
atoms by means of electromagnetic-induced-transparency scheme. Reading laser
pulses propagating along the direction at a small angle relative to quantum
axis are applied to release the stored PPQs into an output channel. By changing
the propagating directions of the read laser beam, we controllably release the
retrieved PPQs into 7 different photonic output channels, respectively. At one
of the output channels, the measured maximum quantum-process fidelity for the
PPQs is 94.2% at storage time of t= 0.85ms. At storage time of 6 ms, the
quantum-process fidelity is still beyond 78%, the threshold for the violation
of the Bell inequality. The demonstrated controllable release of the stored
PPQs may extend the capabilities of the quantum information storage technique.


title: Theory of the Dynamical Thermal conductivity of Metals

abstract:
  The Mori's projection method, known as memory function method is an important
theoretical formalism to study various transport coefficients. In the present
work, we calculate the dynamical thermal conductivity in the case of metals
using the memory function formalism. We introduce thermal memory functions for
the first time and discuss the behavior of thermal conductivity in both zero
frequency limit and in the case of non-zero frequencies. We compare our results
for the zero frequency case with the results obtained by the Bloch-Boltzmann
kinetic approach and find that both approaches agree with each other. Motivated
by some recent experimental advancements, we obtain several new results for the
ac or the dynamical thermal conductivity.


title:
Uncertainty Principles of Ingham and Paley-Wiener on Semisimple Lie
  Groups

abstract:
  Classical results due to Ingham and Paley-Wiener characterize the existence
of nonzero functions supported on certain subsets of the real line in terms of
the pointwise decay of the Fourier transforms. Viewing these results as
uncertainty principles for Fourier transforms, we prove certain analogues of
these results on connected, noncompact, semisimple Lie groups with finite
center. We also use these results to show unique continuation property of
solutions to the initial value problem for time-dependent Schr\"odinger
equations on Riemmanian symmetric spaces of noncompact type.


title:
Supervised Syntax-based Alignment between English Sentences and Abstract
  Meaning Representation Graphs

abstract:
  As alignment links are not given between English sentences and Abstract
Meaning Representation (AMR) graphs in the AMR annotation, automatic alignment
becomes indispensable for training an AMR parser. Previous studies formalize it
as a string-to-string problem and solve it in an unsupervised way, which
suffers from data sparseness due to the small size of training data for
English-AMR alignment. In this paper, we formalize it as a syntax-based
alignment problem and solve it in a supervised manner based on syntax trees,
which can address the data sparseness problem by generalizing English-AMR
tokens to syntax tags. Experiments verify the effectiveness of the proposed
method not only for English-AMR alignment, but also for AMR parsing.


title: Relativistic transformation of temperature and Mosengeil-Ott's antinomy

abstract:
  A not satisfactorily solved problem of relativistic transformation of
temperature playing the decisive role in relativistic thermal physics and
cosmology is reopened. It is shown that the origin of the so called
Mosengeil-Ott's antinomy and other aligned paradoxes are related to the wrong
understanding of physical meaning of temperature and application of Planck's
Ansatz of Lorentz's invariance of entropy. In the contribution we have thus
reintroduced and anew analyzed fundamental concepts of hotness manifold, fixed
thermometric points and temperature. Finally, on the basis of phenomenological
arguments the Lorentz invariance of temperature and relativistic
transformations of entropy are established.


title: Shadows over the speed of light

abstract:
  In this paper, we discuss some of the consequences of the CGPM (1983)
definition of meter and, in particular, we discuss giving the speed of light an
exact value. It is shown that this act touches the fundamental paradigms, such
as the second postulate of the special theory of relativity (STR), the
c-equivalence principle and the method of time synchronization. In order to
fill the arising logical gaps, we suggest, among others, to weaken the second
postulate of STR to a form directly confirmed by experiments and make new
measurements of Maxwell's constant with accuracy comparable with that of the
speed of light.


title:
Maximal surface area of a convex set in $\mathbb{R}^n$ with respect to
  exponential rotation invariant measures

abstract:
  Let $p$ be a positive number. Consider probability measure $\gamma_p$ with
density $\varphi_p(y)=c_{n,p}e^{-\frac{|y|^p}{p}}$. We show that the maximal
surface area of a convex body in $\mathbb{R}^n$ with respect to $\gamma_p$ is
asymptotically equal to $C_p n^{\frac{3}{4}-\frac{1}{p}}$, where constant $C_p$
depends on $p$ only. This is a generalization of Ball's and Nazarov's bounds,
which were given for the case of the standard Gaussian measure $\gamma_2$.


title:
Effects of the non-parabolic kinetic energy on non-equilibrium polariton
  condensates

abstract:
  In the study of non-equilibrium polariton condensates it is usually assumed
that the dispersion relation of polaritons is parabolic in nature. We show that
considering the true non-parabolic kinetic energy of polaritons leads to
significant changes in the behaviour of the condensate due to the curvature of
the dispersion relation and the possibility of transfer of energy to high
wavenumber components in the condensate spatial profile. We present explicit
solutions for plane waves and linear excitations, and identify the differences
in the theoretical predictions between the parabolic and non-parabolic
mean-field models, showing the possibility of symmetry breaking in the latter.
We then consider the evolution of wavepackets and show that self-localisation
effects may be observed due to the curvature of the dispersion relation.
Finally, we revisit the dynamics of dark soliton trains and show that
additional localized density excitations may emerge in the dynamics due to the
excitation of high frequency components, mimicking the appearance of
near-bright solitary waves over short timescales.


title:
The Application of Mutual Energy Theorem in Expansion of Radiation Field
  in Spherical Waves

abstract:
  In recent years the shperical wave expansion method has been widely applied
to the theory and calculation of electromagnetic fields. But the inner product
exist in reference[1] is defined on the Banach space[2]. Through redefining the
inner product this article limits the wave expansion method to Hibert space[3].
For this reason the mutual energy theorem is introduced.


title:
Quasi-periodic oscillations in superfluid, relativistic magnetars with
  nuclear pasta phases

abstract:
  We study the torsional magneto-elastic oscillations of relativistic
superfluid magnetars and explore the effects of a phase transition in the
crust-core interface (nuclear pasta) which results in a weaker elastic
response. Exploring various models with different extension of nuclear pasta
phases, we find that the differences in the oscillation spectrum present in
purely elastic modes (weak magnetic field), are smeared out with increasing
strength of the magnetic field. For magnetar conditions, the main
characteristic and features of models without nuclear pasta are preserved. We
find in general two classes of magneto-elastic oscillations which exhibit a
different oscillation pattern. For B_p < 4 x 10^{14} G, the spectrum is
characterised by the turning points and edges of the continuum which are
confined into the star's core, and have no constant phase. Increasing the
magnetic field, we find, in addition, several magneto-elastic oscillations
which reach the surface and have an angular structure similar to crustal modes.
These global magneto-elastic oscillations show a constant phase and become
dominant when B_p > 5 x 10^{14} G. We do not find any evidence of fundamental
pure crustal modes in the low frequency range (below 200 Hz) for B_p >= 10^{14}
G.


title:
On the contribution of sunspots to the observed frequency shifts of
  solar acoustic modes

abstract:
  Activity-related variations in the solar oscillation properties have been
known for 30 years. However, the relative importance of the different
contributions to the observed variations is not yet fully understood. Our goal
is to estimate the relative contribution from sunspots to the observed
activity-related variations in the frequencies of the acoustic modes. We use a
variational principle to relate the phase differences induced by sunspots on
the acoustic waves to the corresponding changes in the frequencies of the
global acoustic oscillations. From the sunspot properties (area and latitude as
a function of time), we are able to estimate the spot-induced frequency shifts.
These are then combined with a smooth frequency shift component, associated
with long-term solar-cycle variations, and the results compared with the
frequency shifts derived from the Global Oscillation Network Group (GONG) data.
The result of this comparison is consistent with a sunspot contribution to the
observed frequency shifts of roughly 30 per cent, with the remaining 70 per
cent resulting mostly from a global, non-stochastic variation, possibly related
to the changes in the overall magnetic field. Moreover, analysis of the
residuals obtained after the subtraction of the model frequency shifts from the
observations indicates the presence of a 1.5-yr periodicity in the data in
phase with the quasi-biennial variations reported in the literature.


title: Microscopic origin of self-similarity in granular blast waves

abstract:
  The self-similar expansion of a blast wave, well-studied in air, has peculiar
counterparts in dense and dissipative media such as granular gases. Recent
results have shown that, while the traditional Taylor-von Neumann-Sedov (TvNS)
derivation is not applicable to such granular blasts, they can nevertheless be
well understood via a combination of microscopic and hydrodynamic insights. In
this article, we provide a detailed analysis of these methods associating
Molecular Dynamics simulations and continuum equations, which successfully
predict hydrodynamic profiles, scaling properties and the instability of the
self-similar solution. We also present new results for the energy conserving
case, including the particle-level analysis of the classic TvNS solution and
its breakdown at higher densities.


title: Lines on K3 quartic surfaces in characteristic 2

abstract:
  We prove that a K3 quartic surface defined over a field of characteristic 2
can contain at most 68 lines. If it contains 68 lines, then it is projectively
equivalent to a member of a 1-dimensional family found by Rams and Sch\"utt.


title:
Oscillatory Localization of Quantum Walks Analyzed by Classical Electric
  Circuits

abstract:
  We examine an unexplored quantum phenomenon we call oscillatory localization,
where a discrete-time quantum walk with Grover's diffusion coin jumps back and
forth between two vertices. We then connect it to the power dissipation of a
related electric network. Namely, we show that there are only two kinds of
oscillating states, called uniform states and flip states, and that the
projection of an arbitrary state onto a flip state is bounded by the power
dissipation of an electric circuit. By applying this framework to states along
a single edge of a graph, we show that low effective resistance implies
oscillatory localization of the quantum walk. This reveals that oscillatory
localization occurs on a large variety of regular graphs, including
edge-transitive, expander, and high degree graphs. As a corollary, high
edge-connectivity also implies localization of these states, since it is
closely related to electric resistance.


title: A functional calculus for the magnetization dynamics

abstract:
  A functional calculus approach is applied to the derivation of evolution
equations for the moments of the magnetization dynamics of systems subject to
stochastic fields. It allows us to derive a general framework for obtaining the
master equation for the stochastic magnetization dynamics, that is applied to
both, Markovian and non-Markovian dynamics. The formalism is applied for
studying different kinds of interactions, that are of practical relevance and
hierarchies of evolution equations for the moments of the distribution of the
magnetization are obtained. In each case, assumptions are spelled out, in order
to close the hierarchies. These closure assumptions are tested by extensive
numerical studies, that probe the validity of Gaussian or non--Gaussian closure
Ans\"atze.

categories: cond-mat.stat-mech cond-mat.mtrl-sci hep-lat nlin.CD physics.comp-ph


title: On sets defining few ordinary planes

abstract:
  Let $S$ be a set of $n$ points in real three-dimensional space, no three
collinear and not all co-planar. We prove that if the number of planes incident
with exactly three points of $S$ is less than $Kn^2$ for some
$K=o(n^{\frac{1}{7}})$ then, for $n$ sufficiently large, all but at most $O(K)$
points of $S$ are contained in the intersection of two quadrics. Furthermore,
we prove that there is a constant $c$ such that if the number of planes
incident with exactly three points of $S$ is less than $\frac{1}{2}n^2-cn$
then, for $n$ sufficiently large, $S$ is either a prism, an anti-prism, a prism
with a point removed or an anti-prism with a point removed. As a corollary to
the main result, we deduce the following theorem. Let $S$ be a set of $n$
points in the real plane. If the number of circles incident with exactly three
points of $S$ is less than $Kn^2$ for some $K=o(n^{\frac{1}{7}})$ then, for $n$
sufficiently large, all but at most $O(K)$ points of $S$ are contained in a
curve of degree at most four.


title: Full Characterization of Oscillatory Localization of Quantum Walks

abstract:
  Discrete-time quantum walks are well-known for exhibiting localization, a
quantum phenomenon where the walker remains at its initial location with high
probability. In companion with a joint Letter, we introduce oscillatory
localization, where the walker alternates between two states. The walk is given
by the flip-flop shift, which is easily defined on non-lattice graphs, and the
Grover coin. Extremely simple examples of the localization exist, such as a
walker jumping back and forth between two vertices of the complete graph. We
show that only two kinds of states, called flip states and uniform states,
exhibit exact oscillatory localization. So the projection of an arbitrary state
onto these gives a lower bound on the extent of oscillatory localization. Thus
we completely characterize the states that oscillate under the quantum walk.


title: Dicritical singularities and laminar currents on Levi-flat hypersurfaces

abstract:
  We establish an effective criterion for a dicritical singularity of a real
analytic Levi-flat hypersurface. The criterion is stated in terms of the Segre
varieties. As an application, we obtain a structure theorem for some class of
currents in the nondicritical case.


title:
Transfer of Representations and Orbital Integrals for Inner Forms of
  $GL_n$

abstract:
  We characterize the Local Langlands Correspondence (LLC) for inner forms of
$GL_n$ via the Jacquet-Langlands Correspondence (JLC) and compatibility with
the Langlands Classification. We show that LLC satisfies a natural
compatibility with parabolic induction and characterize LLC for inner forms as
a unique family of bijections $\Pi(GL_r(D)) \to \Phi(GL_r(D))$ for each $r$,
(for a fixed $D$) satisfying certain properties. We construct a surjective map
of Bernstein centers $\mathfrak{Z}(GL_n(F))\to \mathfrak{Z}(GL_r(D))$ and show
this produces pairs of matching distributions. Finally, we construct explicit
Iwahori-biinvariant matching functions for unit elements in the parahoric Hecke
algebras of $GL_r(D)$, and thereby produce many explicit pairs of matching
functions.


title: LSA-Advanced and C-RAN: A (5G) Romance of Many Dimensions

abstract:
  We examine the dimensional limitations of Licensed Shared Access (LSA)
regulatory framework for spectrum sharing and propose a solution for its more
dynamic implementation. We consider an additional dimension for sharing, beyond
those of time, space and frequency, i.e. the sharing of the infrastructure. We
explain why we believe that the emerging regulations and use-case scenarios are
limiting the potential of LSA, and with this in mind make a set of
recommendations to unlock it fully. As a specific case study, we present our
architectural work around Cloud-based Radio Access Network (C-RAN) and LSA to
demonstrate the possibility of a dynamic implementation of multiple incumbents
and multiple LSA licensees engaged in sharing. Our case study highlights
multiple ways for LSA framework to evolve into a global and flexible sharing
model, and prove that LSA and C-RAN are a good match to rethink how we look at
networks targeting a more flexible, efficient and profitable way of operating
them.


title:
Trends and Challenges in Wireless Channel Modeling for an Evolving Radio
  Access

abstract:
  With the advent of 5G, standardization and research are currently defining
the next generation of the radio access. Considering the high constraints
imposed by the future standards, disruptive technologies such as Massive MIMO
and mmWave are being proposed. At the heart of this process are wireless
channel models that now need to cover a massive increase in design parameters,
a large variety of frequency bands, and heterogeneous deployments. This
tutorial describes how channel models address this new level of complexity and
which tools the community prepares to efficiently but accurately capture the
upcoming changes in radio access design. We analyze the main drivers behind
these new modeling tools, the challenges they pose, and survey the current
approaches to overcome them.


title:
On-board monitoring of 2-D spatially-resolved temperatures in
  cylindrical lithium-ion batteries: Part I. Low-order thermal modelling

abstract:
  Estimating the temperature distribution within Li-ion batteries during
operation is critical for safety and control purposes. Although existing
control-oriented thermal models - such as thermal equivalent circuits (TEC) -
are computationally efficient, they only predict average temperatures, and are
unable to predict the spatially resolved temperature distribution throughout
the cell. We present a low-order 2D thermal model of a cylindrical battery
based on a Chebyshev spectral-Galerkin (SG) method, capable of predicting the
full temperature distribution with a similar efficiency to a TEC. The model
accounts for transient heat generation, anisotropic heat conduction, and
non-homogeneous convection boundary conditions. The accuracy of the model is
validated through comparison with finite element simulations, which show that
the 2-D temperature field (r, z) of a large format (64 mm diameter) cell can be
accurately modelled with as few as 4 states. Furthermore, the performance of
the model for a range of Biot numbers is investigated via frequency analysis.
For larger cells or highly transient thermal dynamics, the model order can be
increased for improved accuracy. The incorporation of this model in a state
estimation scheme with experimental validation against thermocouple
measurements is presented in the companion contribution (Part II).


title: Quantitative Partition Models and Benford's Law

abstract:
  Benford's Law predicts that the first significant digit on the leftmost side
of numbers in real-life data is proportioned between all possible 1 to 9 digits
approximately as in LOG(1 + 1/digit), so that low digits occur much more
frequently than high digits in the first place. The two essential prerequisites
for data configuration with regards to compliance with Benford's Law are high
order of magnitude and positive skewness with a tail falling to the right of
the histogram, so that quantitative configuration is such that the small is
numerous and the big is rare. In this article various quantitative partition
models are examined in terms of the quantitative and digital behavior of the
resultant set of parts. The universal feature found across all partition models
is having many small parts but only very few big parts, while Benford's Law is
valid only in some particular partition cases and under certain constraints.
Hence another suggested vista of Benford's Law is viewing it as a particular
subset of the broader positive skewness phenomenon in quantitative
partitioning. Significantly, such a vista is true in all other causes and
explanations of Benford's Law where the small consistently outnumbers the big
also in partial structures of the model or well before full convergence to
Benford is achieved - endowing the principle universality in a sense. In
conclusion, either the active act of partitioning or the passive consideration
of a large quantity as the composition of smaller parts can be considered as
another independent explanation for the widespread empirical observation of
Benford's Law in the physical sciences.


title: Low energy recoil detection with a spherical proportional counter

abstract:
  We present low energy recoil detection results in the keV energy region, from
measurements performed with the Spherical Proportional Counter (SPC). An
${}^{241}Am-{}^{9}{Be}$ fast neutron source is used in order to obtain
neutron-nucleus elastic scattering events inside the gaseous volume of the
detector. The detector performance in the $keV$ energy region was resolved by
observing the $5.9\ keV$ line of a ${}^{55}Fe$ X-ray source, with energy
resolution of $9\%$ ($\sigma$). The toolkit GEANT4 was used to simulate the
irradiation of the detector by an ${}^{241}Am-{}^{9}{Be}$ source, while SRIM
was used to calculate the Ionization Quenching Factor (IQF). The GEANT4
simulated energy deposition spectrum in addition with the SRIM calculated
quenching factor provide valuable insight to the experimental results. The
performance of the SPC in low energy recoil detection makes the detector a good
candidate for a wide range of applications, including Supernova or reactor
neutrino detection and Dark Matter (WIMP) searches (via coherent elastic
scattering).


title:
ENet: A Deep Neural Network Architecture for Real-Time Semantic
  Segmentation

abstract:
  The ability to perform pixel-wise semantic segmentation in real-time is of
paramount importance in mobile applications. Recent deep neural networks aimed
at this task have the disadvantage of requiring a large number of floating
point operations and have long run-times that hinder their usability. In this
paper, we propose a novel deep neural network architecture named ENet
(efficient neural network), created specifically for tasks requiring low
latency operation. ENet is up to 18$\times$ faster, requires 75$\times$ less
FLOPs, has 79$\times$ less parameters, and provides similar or better accuracy
to existing models. We have tested it on CamVid, Cityscapes and SUN datasets
and report on comparisons with existing state-of-the-art methods, and the
trade-offs between accuracy and processing time of a network. We present
performance measurements of the proposed architecture on embedded systems and
suggest possible software improvements that could make ENet even faster.


title:
On the coherent rotation of diffuse matter in numerical simulations of
  galaxy clusters

abstract:
  We present a study on the coherent rotation of the intracluster medium and
dark matter components of simulated galaxy clusters extracted from a
volume-limited sample of the MUSIC project. The set is re-simulated with three
different recipes for the gas physics: $(i)$ non-radiative, $(ii)$ radiative
without AGN feedback, and $(iii)$ radiative with AGN feedback. Our analysis is
based on the 146 most massive clusters identified as relaxed, 57 per cent of
the total sample. We classify these objects as rotating and non-rotating
according to the gas spin parameter, a quantity that can be related to cluster
observations. We find that 4 per cent of the relaxed sample is rotating
according to our criterion. By looking at the radial profiles of their specific
angular momentum vector, we find that the solid body model is not a suitable
description of rotational motions. The radial profiles of the velocity of the
dark matter show a prevalence of the random velocity dispersion. Instead, the
intracluster medium profiles are characterized by a comparable contribution
from the tangential velocity and the dispersion. In general, the dark matter
component dominates the dynamics of the clusters, as suggested by the
correlation between its angular momentum and the gas one, and by the lack of
relevant differences among the three sets of simulations.


title: Searching for Singlino-Higgsino Dark Matter in the NMSSM

abstract:
  We study a simplified scenario in the next-to-minimal supersymmetric standard
model with a split electroweak spectrum, in which only the singlino and
higgsinos are light and other superpartners are decoupled. Serving as a dark
matter candidate, a singlino-dominated neutralino $\tilde{\chi}_1^0$ should
have either resonant annihilation effects or sizable higgsino components to
satisfy the observed relic abundance. The sensitivities of LHC searches and
dark matter detection experiments are investigated. With an integrated
luminosity of $30 (300) \mathrm{fb}^{-1}$, $3l + E_\mathrm{T} \!\!\!\!\!\!\!/
\;\;\;$and $2l + E_\mathrm{T} \!\!\!\!\!\!\!/ \;\;\;$ searches at the 13 (14)
TeV LHC are expected to reach up to $m_{\tilde{\chi}_1^0}\sim 150 (230)
\mathrm{GeV}$ and $m_{\tilde{\chi}_2^0,\tilde{\chi}_1^{\pm}}\sim 320 (480)
\mathrm{GeV}$. Near future dark matter direct and indirect detection
experiments can cover some parameter regions where collider searches lose their
sensitivities.


title:
Novel integral representations of the Riemann zeta-function and
  Dirichlet eta-function, close expressions for Laurent series expansions of
  powers of trigonometric functions and digamma function, and summation rules

abstract:
  We have established novel integral representations of the Riemann
zeta-function and Dirichlet eta-function based on powers of trigonometric
functions and digamma function, and then use these representations to find
close forms of Laurent series expansions of these same powers of trigonometric
functions and digamma function. The so obtained series can be used to find
numerous summation rules for certain values of the Riemann zeta and related
functions and numbers, such as e.g. Bernoulli and Euler numbers.


title:
Trends for isolated amino acids and dipeptides: Conformation, divalent
  ion binding, and remarkable similarity of binding to calcium and lead

abstract:
  We derive structural and binding energy trends for twenty amino acids, their
dipeptides, and their interactions with the divalent cations Ca$^{2+}$,
Ba$^{2+}$, Sr$^{2+}$, Cd$^{2+}$, Pb$^{2+}$, and Hg$^{2+}$. The underlying data
set consists of 45,892 first-principles predicted conformers with relative
energies up to about 4 eV (about 400kJ/mol). We show that only very few
distinct backbone structures of isolated amino acids and their dipeptides
emerge as lowest-energy conformers. The isolated amino acids predominantly
adopt structures that involve an acidic proton shared between the carboxy and
amino function. Dipeptides adopt one of two intramolecular-hydrogen bonded
conformations C$_5$ or equatorial C$_7$. Upon complexation with a divalent
cation, the accessible conformational space shrinks and intramolecular hydrogen
bonding is prevented due to strong electrostatic interaction of backbone and
side chain functional groups with cations. Clear correlations emerge from the
binding energies of the six divalent ions with amino acids and dipeptides.
Cd$^{2+}$ and Hg$^{2+}$ show the largest binding energies - a potential
correlation with their known high acute toxicities. Ca$^{2+}$ and Pb$^{2+}$
reveal almost identical binding energies across the entire series of amino
acids and dipeptides. This observation validates past indications that
ion-mimicry of calcium and lead should play an important role in a
toxicological context.


title: A computational approach to the twin paradox in curved spacetime

abstract:
  Despite being a major component in the teaching of special relativity, the
twin `paradox' is generally not examined in courses on general relativity. Due
to the complexity of analytical solutions to the problem, the paradox is often
neglected entirely, and students are left with an incomplete understanding of
the relativistic behaviour of time. This article outlines a project, undertaken
by undergraduate physics students at the University of Sydney, in which a novel
computational method was derived in order to predict the time experienced by a
twin following a number of paths between two given spacetime coordinates. By
utilising this method, it is possible to make clear to students that following
a geodesic in curved spacetime does not always result in the greatest
experienced proper time.


title:
Short Electron Bunch Generation Using Single-Cycle Ultrafast Electron
  Guns

abstract:
  We introduce a solution for producing ultrashort ($\sim$fs) high charge
($\sim$pC) from ultra-compact guns utilizing single-cycle THz pulses. We show
that the readily available THz pulses with energies as low as 20 ?J are
sufficient to generate multi-10 keV electron bunches. Moreover, It is
demonstrated that THz energies of 2mJ are sufficient to generate relativistic
electron bunches with higher than 2 MeV energy. The high acceleration gradients
possible in the structures provide 30 fs electron bunches at 30 keV energy and
45 fs bunches at 2 MeV energy. These structures will underpin future devices
for strong field THz physics in general and miniaturized electron guns, in
which the high fields combined with the short pulse duration enable electron
beams with ultrahigh brightness.


title:
Hypercellular graphs: partial cubes without $Q_3^-$ as partial cube
  minor

abstract:
  We investigate the structure of isometric subgraphs of hypercubes (i.e.,
partial cubes) which do not contain finite convex subgraphs contractible to the
3-cube minus one vertex $Q^-_3$ (here contraction means contracting the edges
corresponding to the same coordinate of the hypercube). Extending similar
results for median and cellular graphs, we show that the convex hull of an
isometric cycle of such a graph is gated and isomorphic to the Cartesian
product of edges and even cycles. Furthermore, we show that our graphs are
exactly the class of partial cubes in which any finite convex subgraph can be
obtained from the Cartesian products of edges and even cycles via successive
gated amalgams. This decomposition result enables us to establish a variety of
results. In particular, it yields that our class of graphs generalizes median
and cellular graphs, which motivates naming our graphs hypercellular.
Furthermore, we show that hypercellular graphs are tope graphs of zonotopal
complexes of oriented matroids. Finally, we characterize hypercellular graphs
as being median-cell -- a property naturally generalizing the notion of median
graphs.


title:
Orlicz addition for measures and an optimization problem for the
  $f$-divergence

abstract:
  In this paper, the Orlicz addition of measures is proposed and an
interpretation of the $f$-divergence is provided based on a linear Orlicz
addition of two measures. Fundamental inequalities, such as, a dual functional
Orlicz-Brunn-Minkowski inequality, are established. We also investigate an
optimization problem for the $f$-divergence and establish functional affine
isoperimetric inequalities for the dual functional Orlicz affine and geominimal
surface areas of measures.


title:
Semiclassical spectral function and density of states in speckle
  potentials

abstract:
  We present a novel analytical method for calculating the spectral function
and the density of states in speckle potentials, valid in the semiclassical
regime. Our approach relies on stationary phase approximations, allowing us to
describe the singular quantum corrections at low energies. We apply it to the
calculation of the spectral function and the density of states in one and
two-dimensional speckle potentials. By connecting our results with those of
previous work valid in the high energy sector, we end up with a consistent
description of the whole energy spectrum, in good agreement with numerical
simulations.


title:
On the evaporation of solar dark matter: spin-independent effective
  operators

abstract:
  As a part of the effort to investigate the implications of dark matter
(DM)-nucleon effective interactions on the solar DM detection, in this paper we
focus on the evaporation of the solar DM for a set of the DM-nucleon
spin-independent (SI) effective operators. In order to put the evaluation of
the evaporation rate on a more reliable ground, we calculate the non-thermal
distribution of the solar DM using the Monte Carlo methods, rather than
adopting the Maxwellian approximation. We then specify relevant signal
parameter spaces for the solar DM detection for various SI effective operators.
Based on the analysis, we determine the minimum DM masses for which the
DM-nucleon coupling strengths can be probed from the solar neutrino
observations. As an interesting application, our investigation also shows that
evaporation effect can not be neglectd in a recent proposal aiming to solve the
solar abundance problem by invoking the momentum-dependent asymmetric DM in the
Sun.


title: A guide to the Choquard equation

abstract:
  We survey old and recent results dealing with the existence and properties of
solutions to the Choquard type equations $$
  -\Delta u + V(x)u = \bigl(|x|^{-(N-\alpha)} * |u|^p\bigr)|u|^{p - 2} u \qquad
\text{in $\mathbb{R}^N$}, $$ and some of its variants and extensions.


title:
Avoiding common pitfalls and misconceptions in extractions of the proton
  radius

abstract:
  In a series of recent publications, different authors produce a wide range of
electron radii when reanalyzing electron proton scattering data. In the light
of the proton radius puzzle, this is a most unfortunate situation. However, we
find flaws in most analyses that result in radii around 0.84 fm. In this paper,
we explain our reasoning and try to illustrate the most common pitfalls.


title: Optimal fluxes and Reynolds stresses

abstract:
  It is remarked that fluxes in conservation laws, such as the Reynolds
stresses in the momentum equation of turbulent shear flows, or the spectral
energy flux in isotropic turbulence, are only defined up to an arbitrary
solenoidal field. While this is not usually significant for long-time averages,
it becomes important when fluxes are modelled locally in large-eddy
simulations, or in the analysis of intermittency and cascades. As an example, a
numerical procedure is introduced to compute fluxes in scalar conservation
equations in such a way that their total integrated magnitude is minimised. The
result is an irrotational vector field that derives from a potential, thus
minimising sterile flux `circuits'. The algorithm is generalised to tensor
fluxes and applied to the transfer of momentum in a turbulent channel. The
resulting instantaneous Reynolds stresses are compared with their traditional
expressions, and found to be substantially different.


title:
The numbers of distinct and repeated squares and cubes in the Tribonacci
  sequence

abstract:
  The Tribonacci sequence $\mathbb{T}$ is the fixed point of the substitution
$\sigma(a,b,c)=(ab,ac,a)$. The main result is twofold: (1) we give the explicit
expressions of the numbers of distinct squares and cubes in $\mathbb{T}[1,n]$
(the prefix of $\mathbb{T}$ of length $n$); (2) we give algorithms for counting
the number of repeated squares and cubes in $\mathbb{T}[1,n]$ for all $n$; then
get explicit expressions for some special $n$ such as $n=t_m$ (the Tribonacci
number).


title: A Distributed Force-Directed Algorithm on Giraph: Design and Experiments

abstract:
  In this paper we study the problem of designing a distributed graph
visualization algorithm for large graphs. The algorithm must be simple to
implement and the computing infrastructure must not require major hardware or
software investments. We design, implement, and experiment a force-directed
algorithm in Giraph, a popular open source framework for distributed computing,
based on a vertex-centric design paradigm. The algorithm is tested both on real
and artificial graphs with up to million edges, by using a rather inexpensive
PaaS (Platform as a Service) infrastructure of Amazon. The experiments show the
scalability and effectiveness of our technique when compared to a centralized
implementation of the same force-directed model. We show that graphs with about
one million edges can be drawn in less than 8 minutes, by spending about 1\$
per drawing in the cloud computing infrastructure.


title: Micro-Doppler Frequency Comb Generation by Axially Rotating Scatterers

abstract:
  Electromagnetic scattering in accelerating reference frames inspires a
variety of phenomena, requiring employment of general relativity for their
description. While the quasi-stationary field analysis could be applied to
slowly-accelerating bodies as a first-order approximation, the scattering
problem remains fundamentally nonlinear in boundary conditions, giving rise to
multiple frequency generation (micro-Doppler shifts). Here a frequency comb,
generated by an axially rotating subwavelength (cm-range) wire and split ring
resonator (SRR), is analyzed theoretically and observed experimentally by
illuminating the system with a 2GHz carrier wave. Highly accurate lock in
detection scheme enables factorization of the carrier and observation of more
than ten peaks in a comb. The Hallen integral equation is employed for deriving
the currents induced on the scatterer at rest and a set of coordinate
transformations, connecting laboratory and rotating frames, is applied in order
to predict the spectral positions and amplitudes of the frequency comb peaks.
Unique spectral signature of micro-Doppler shifts could enable resolving an
internal structure of the scatterers and mapping their accelerations in space,
which is valuable for a variety of applications spanning from targets
identification to stellar radiometry.