title:
Capturing the helical to spiral transitions in thin ribbons of nematic
  elastomers

abstract:
  We provide a quantitative description of the helicoid--to--spiral transition
in thin ribbons of nematic elastomers using an elementary calculation based on
a Koiter-type plate with incompatible reference configuration. Our calculation
confirms that such transition is ruled by the competition between stretching
energy and bending energy.


title:
Complex Monge-Amp\`ere equation for measures supported on real
  submanifolds

abstract:
  Let $(X,\omega)$ be a compact $n$-dimensional K\"ahler manifold on which the
integral of $\omega^n$ is $1$. Let $K$ be an immersed real $\mathcal{C}^3$
submanifold of $X$ such that the tangent space at any point of $K$ is not
contained in any complex hyperplane of the (real) tangent space at that point
of $X.$ Let $\mu$ be a probability measure compactly supported on $K$ with
$L^p$ density for some $p>1.$ We prove that the complex Monge-Amp\`ere equation
$(dd^c \varphi + \omega)^n=\mu$ has a H\"older continuous solution.


title:
The looping probability of random heteropolymers helps to understand the
  scaling properties of biopolymers

abstract:
  Random heteropolymers are a minimal description of biopolymers and can
provide a theoretical framework to the investigate the formation of loops in
biophysical experiments. A two--state model provides a consistent and robust
way to study the scaling properties of loop formation in polymers of the size
of typical biological systems. Combining it with self--adjusting
simulated--tempering simulations, we can calculate numerically the looping
properties of several realizations of the random interactions within the chain.
Differently from homopolymers, random heteropolymers display at different
temperatures a continuous set of scaling exponents. The necessity of using
self--averaging quantities makes finite--size effects dominant at low
temperatures even for long polymers, shadowing the length--independent
character of looping probability expected in analogy with homopolymeric
globules. This could provide a simple explanation for the small scaling
exponents found in experiments, for example in chromosome folding.


title:
A study of diffuse radio sources and X-ray emission in six massive
  clusters

abstract:
  The goal of the present study is to extend our current knowledge of the
diffuse radio source (halo and relic) populations to $z$ $>$ 0.3. Here we
report GMRT and EVLA radio observations of six galaxy clusters taken from the
MAssive Cluster Survey (MACS) catalogue to detect diffuse radio emission. We
used archival GMRT (150, 235 and 610 MHz) and EVLA (L band) data and made
images at multiple radio frequencies of the following six clusters -
MACSJ0417.5-1154, MACSJ1131.8-1955, MACSJ0308.9+2645, MACSJ2243.3-0935,
MACSJ2228.5+2036 and MACSJ0358.8-2955. We detect diffuse radio emission (halo
or relic or both) in the first four clusters. In the last two clusters we do
not detect any diffuse radio emission but we put stringent upper-limits on
their radio powers. We also use archival {\it Chandra} X-ray data to carry out
morphology and substructure analysis of these clusters. We find that based on
X-ray data, these MACS clusters are non-relaxed and show substructures in their
temperature distribution. The radio powers of the first four MACS clusters are
consistent with their expected values in the $L_{x}$--$P_{1.4GHz}$ plot.
{However, we found ultra-steep spectrum radio halo in the MACSJ0417.5-1154
cluster whose rest-frame cut-off frequency is at $\sim$ 900 MHz}. The remaining
two clusters whose radio powers are $\sim$ 11 times below the expected values
are most likely to be in the `off-state' as has been postulated in some of the
models of radio halo formation.


title:
A block EM algorithm for multivariate skew normal and skew t-mixture
  models

abstract:
  Finite mixtures of skew distributions provide a flexible tool for modelling
heterogeneous data with asymmetric distributional features. However, parameter
estimation via the Expectation-Maximization (EM) algorithm can become very
time-consuming due to the complicated expressions involved in the E-step that
are numerically expensive to evaluate. A more time-efficient implementation of
the EM algorithm was recently proposed which allows each component of the
mixture model to be evaluated in parallel. In this paper, we develop a block
implementation of the EM algorithm that facilitates the calculations in the E-
and M-steps to be spread across a larger number of threads. We focus on the
fitting of finite mixtures of multivariate skew normal and skew
t-distributions, and show that both the E- and M-steps in the EM algorithm can
be modified to allow the data to be split into blocks. The approach can be
easily implemented for use by multicore and multi-processor machines. It can
also be applied concurrently with the recently proposed multithreaded EM
algorithm to achieve further reduction in computation time. The improvement in
time performance is illustrated on some real datasets.


title:
Line Shape of the Raman 2D Peak of Graphene in Van Der Waals
  Heterostructures

abstract:
  The Raman 2D line of graphene is widely used for device characterization and
during device fabrication as it contains valuable information on e.g. the
direction and magnitude of mechanical strain and doping. Here we present
systematic asymmetries in the 2D line shape of exfoliated graphene and graphene
grown by chemical vapor deposition. Both graphene crystals are fully
encapsulated in van der Waals heterostructures, where hexagonal boron nitride
and tungsten diselenide are used as substrate materials. In both material
stacks, we find very low doping values and extremely homogeneous strain
distributions in the graphene crystal, which is a hall mark of the outstanding
electronic quality of these samples. By fitting double Lorentzian functions to
the spectra to account for the contributions of inner and outer processes to
the 2D peak, we find that the splitting of the sub-peaks, $6.6 \pm 0.5$
cm$^{-1}$(hBN-Gr-WSe2) and $8.9 \pm 1.0$ cm$^{-1}$ (hBN-Gr-hBN), is
significantly lower than the values reported in previous studies on suspended
graphene.


title: Optomechanical damping of a nanomembrane inside an optical ring cavity

abstract:
  We experimentally and theoretically investigate mechanical nanooscillators
coupled to the light in an optical ring resonator made of dielectric mirrors.
We identify an optomechanical damping mechanism that is fundamentally different
to the well known cooling in standing wave cavities. While, in a standing wave
cavity the mechanical oscillation shifts the resonance frequency of the cavity
in a ring resonator the frequency does not change. Instead the position of the
nodes is shifted with the mechanical excursion. We derive the damping rates and
test the results experimentally with a silicon-nitride nanomembrane. It turns
out that scattering from small imperfections of the dielectric mirror coatings
has to be taken into account to explain the value of the measured damping rate.
We extend our theoretical model and regard a second reflector in the cavity
that captures the effects of mirror back scattering. This model can be used to
also describe the situation of two membranes that both interact with the cavity
fields. This may be interesting for future work on synchronization of distant
oscillators that are coupled by intracavity light fields.


title:
LITMUS: An Open Extensible Framework for Benchmarking RDF Data
  Management Solutions

abstract:
  Developments in the context of Open, Big, and Linked Data have led to an
enormous growth of structured data on the Web. To keep up with the pace of
efficient consumption and management of the data at this rate, many data
Management solutions have been developed for specific tasks and applications.
We present LITMUS, a framework for benchmarking data management solutions.
LITMUS goes beyond classical storage benchmarking frameworks by allowing for
analysing the performance of frameworks across query languages. In this
position paper we present the conceptual architecture of LITMUS as well as the
considerations that led to this architecture.


title:
On the asymptotic normality and the construction of confidence intervals
  for estimators after sampling with probabilistic and deterministic stopping
  rules

abstract:
  A key feature of a sequential study is that the actual sample size is a
random variable that typically depends on the outcomes collected. While
hypothesis testing theory for sequential designs is well established, parameter
and precision estimation is less well understood. Even though earlier work has
established a number of ad hoc estimators to overcome alleged bias in the
ordinary sample average, recent work has shown the sample average to be
consistent. Building upon these results, by providing a rate of convergence for
the total variation distance, it is established that the asympotic distribution
of the sample average is normal, in almost all cases, except in a very specific
one where the stopping rule is deterministic and the true population mean
coincides with the cut-off between stopping and continuing. For this
pathological case, the Kolmogorov distance with the normal is found to equal
0.125. While noticeable in the asymptotic distribution, simulations show that
there fortunately are no consequences for the coverage of normally-based
confidence intervals.


title: Effective field theory for vibrations in odd-mass nuclei

abstract:
  Heavy even-even nuclei exhibit low-energy collective excitations that are
separated in scale from the microscopic (fermion) degrees of freedom. This
separation of scale allows us to approach nuclear vibrations within an
effective field theory (EFT). In odd-mass nuclei collective and single-particle
properties compete at low energies, and this makes their description more
challenging. In this article we describe odd-mass nuclei with ground-state spin
$I=\sfrac{1}{2}$ by means of an EFT that couples a fermion to the collective
degrees of freedom of an even-even core. The EFT relates observables such as
energy levels, electric quadrupole ($E2$) transition strengths, and magnetic
dipole ($M1$) moments of the odd-mass nucleus to those of its even-even
neighbor, and allows us to quantify theoretical uncertainties. For isotopes of
rhodium and silver the theoretical description is consistent with data within
experimental and theoretical uncertainties. Several testable predictions are
made.


title:
Robust quantum state engineering through coherent localization in
  biased-coin quantum walks

abstract:
  We address the performance of a coin-biased quantum walk as a generator for
non-classical position states of the walker. We exploit a phenomenon of
coherent localisation in the position space --- resulting from the choice of
small values of the coin parameter and assisted by post-selection --- to
engineer large-size coherent superpositions of distinguishable position states
of the walker. The protocol that we design appears to be remarkably robust
against both the actual value taken by the coin parameter and strong
dephasing-like noise acting on the spatial degree of freedom. We finally
illustrate a possible linear-optics implementation of our proposal, suitable
for both bulk and integrated-optics platforms.


title:
Probing the Charge Separation Process on In2S3/Pt-TiO2 Nanocomposites
  for Boosted Visible-light Photocatalytic Hydrogen Production

abstract:
  A simple refluxing wet-chemical approach is employed for fabricating
In2S3/Pt-TiO2 heterogeneous catalysts for hydrogen generation under visible
light irradiation. When the mass ratio between Pt-TiO2 and cubic-phased In2S3
(denoted as In2S3/Pt-TiO2) is two, the composite catalyst shows the highest
hydrogen production, which exhibits an 82-fold enhancement over in-situ
deposited Pt-In2S3. UV-vis diffuse reflectance and valence band X-ray
photoelectron spectra elucidate that the conduction band of In2S3 is 0.3 eV
more negative compared to that of TiO2, favoring charge separation in the
nanocomposites. Photoelectrochemical transient photo-current measurements and
optical pump - terahertz probe spectroscopic studies further corroborate the
charge separation in In2S3/Pt-TiO2. The migration of photo-induced electrons
from the In2S3 conduction band to the TiO2 conduction band and subsequently
into the Pt nanoparticles is found to occur within 5 picoseconds. Based on the
experimental evidence, a charge separation process is proposed which accounts
for the enhanced activity exhibited by the In2S3/Pt-TiO2 composite catalysts.


title:
Zeros of random linear combinations of OPUC with complex Gaussian
  coefficients

abstract:
  We study zero distribution of random linear combinations of the form
$$P_n(z)=\sum_{j=0}^n\eta_j\phi_j(z),$$ in any Jordan region $\Omega \subset
\mathbb C$. The basis functions $\phi_j$ are orthogonal polynomials on the unit
circle (OPUC) that are real-valued on the real line, and $\eta_0,\dots,\eta_n$
are complex-valued iid Gaussian random variables. We derive an explicit
intensity function for the number of zeros of $P_n$ in $\Omega$ for each fixed
$n$. Using the Christoffel-Darboux formula, the intensity function takes a very
simple shape. Moreover, we give the limiting value of the intensity function
when the orthogonal polynomials are associated to Szeg\H{o} weights.


title: Normal and pathological dynamics of platelets in humans

abstract:
  We develop a comprehensive mathematical model of platelet, megakaryocyte, and
thrombopoietin dynamics in humans. We show that there is a single stationary
solution that can undergo a Hopf bifurcation, and use this information to
investigate both normal and pathological platelet production, specifically
cyclic thrombocytopenia. Carefully estimating model parameters from laboratory
and clinical data, we then argue that a subset of parameters are involved in
the genesis of cyclic thrombocytopenia based on clinical information. We
provide excellent model fits to the existing data for both platelet counts and
thrombopoietin levels by changing six parameters that have physiological
correlates. Our results indicate that the primary change in cyclic
thrombocytopenia is a major interference with or destruction of the
thrombopoietin receptor with secondary changes in other processes, including
immune-mediated destruction of platelets and megakaryocyte deficiency and
failure in platelet production. This study makes a major contribution to the
understanding of the origin of cyclic thrombopoietin as well as significantly
extending the modeling of thrombopoiesis.


title:
Verification of Time-Aware Business Processes using Constrained Horn
  Clauses

abstract:
  We present a method for verifying properties of time-aware business
processes, that is, business process where time constraints on the activities
are explicitly taken into account. Business processes are specified using an
extension of the Business Process Modeling Notation (BPMN) and durations are
defined by constraints over integer numbers. The definition of the operational
semantics is given by a set OpSem of constrained Horn clauses (CHCs). Our
verification method consists of two steps. (Step 1) We specialize OpSem with
respect to a given business process and a given temporal property to be
verified, whereby getting a set of CHCs whose satisfiability is equivalent to
the validity of the given property. (Step 2) We use state-of-the-art solvers
for CHCs to check the satisfiability of such sets of clauses. We have
implemented our verification method using the VeriMAP transformation system,
and the Eldarica and Z3 solvers for CHCs.


title:
Global multifluid simulations of the magnetorotational instability in
  radially stratified protoplanetary disks

abstract:
  The redistribution of angular momentum is a long standing problem in our
understanding of protoplanetary disk (PPD) evolution. The magnetorotational
instability (MRI) is considered a likely mechanism. We present the results of a
study involving multifluid global simulations including Ohmic dissipation,
ambipolar diffusion and the Hall effect in a dynamic, self-consistent way. We
focus on the turbulence resulting from the non-linear development of the MRI in
radially stratified PPDs and compare with ideal MHD simulations.
  In the multifluid simulations the disk is initially set up to transition from
a weak Hall dominated regime, where the Hall effect is the dominant non-ideal
effect but approximately the same as or weaker than the inductive term, to a
strong Hall dominated regime, where the Hall effect dominates the inductive
term. As the simulations progress a substantial portion of the disk develops
into a weak Hall dominated disk. We find a transition from turbulent to laminar
flow in the inner regions of the disk, but without any corresponding overall
density feature.
  We introduce a dimensionless parameter, $\alpha_\mathrm{RM}$, to characterise
accretion with $\alpha_\mathrm{RM} \gtrsim 0.1$ corresponding to turbulent
transport. We calculate the eddy turnover time, $t_\mathrm{eddy}$, and compared
this with an effective recombination timescale, $t_\mathrm{rcb}$, to determine
whether the presence of turbulence necessitates non-equilibrium ionisation
calculations. We find that $t_\mathrm{rcb}$ is typically around three orders of
magnitude smaller than $t_\mathrm{eddy}$. Also, the ionisation fraction does
not vary appreciably. These two results suggest that these multifluid
simulations should be comparable to single fluid non-ideal simulations.


title: Search for the magnetocaloric effect in multiferroics oxides

abstract:
  In this paper, we report on the magnetocaloric properties of some selected
multiferroic oxides, namely HoMn2O5 and La2(Ni,Co)MnO6 compounds which exhibit
transition points from 10K up to almost room temperature. In order to avoid
grain boundary effects and structural inhomogeneity observed frequently in
polycrystalline samples, only single crystals were considered for this study.


title: Modeling Mergers of Known Galactic Systems of Binary Neutron Stars

abstract:
  We present a study of the merger of six different known galactic systems of
binary neutron stars (BNS) of unequal mass with a mass ratio between $0.75$ and
$0.99$. Specifically, these systems are J1756-2251, J0737-3039A, J1906+0746,
B1534+12, J0453+1559 and B1913+16. We follow the dynamics of the merger from
the late stage of the inspiral process up to $\sim$ 20 ms after the system has
merged, either to form a hyper-massive neutron star (NS) or a rotating black
hole (BH), using a semi-realistic equation of state (EOS), namely the
seven-segment piece-wise polytropic SLy with a thermal component. For the most
extreme of these systems ($q=0.75$, J0453+1559), we also investigate the
effects of different EOSs: APR4, H4, and MS1. Our numerical simulations are
performed using only publicly available open source code such as, the Einstein
Toolkit code deployed for the dynamical evolution and the LORENE code for the
generation of the initial models. We show results on the gravitational wave
signals, spectrogram and frequencies of the BNS after the merger and the BH
properties in the two cases in which the system collapse within the simulated
time.


title:
On the structure of $L^\infty$-entropy solutions to scalar conservation
  laws in one-space dimension

abstract:
  We prove that if $u$ is the entropy solution to a scalar conservation law in
one space dimension, then the entropy dissipation is a measure concentrated on
countably many Lipschitz curves. This result is a consequence of a detailed
analysis of the structure of the characteristics. \\ In particular the
characteristic curves are segments outside a countably 1-rectifiable set and
the left and right traces of the solution exist in a $C^0$-sense up to the
degeneracy due to the segments where $f"=0$.
  We prove also that the initial data is taken in a suitably strong sense and
we give some counterexamples which show that these results are sharp.


title: A Nonlinear Differential Equation for Generating Warping Function

abstract:
  Given set of functions $y_i(t)$ and $x(t)$ such that $y_i(t) = a_i
x\left[h_i(t)\right]$ with $a_i$ being an unknown amplitude with low changes in
time (or $\frac{\Delta a_i}{a^2_i} << 1$) and $h_i(t)$ an unknown warping
function, the paper shows that $h_i(t)$ can be described using a non-linear
differential equation. The differential equation then can be utilized to
estimate the warping function $h_i(t)$ using a nonlinear least-squares
optimization. This differential equation can also be useful for reducing and
analyzing phase variability in data sequences. Results, obtained on synthetic
curves, showed that the proposed method is effective in aligning the curves.
The obtained aligned curves exhibit variation only in amplitude, and phase
variation can be removed efficiently.


title: Vortex formation and dynamics of defects in shells of active nematics

abstract:
  We present a hydrodynamic model for a thin spherical shell of active nematic
liquid crystal with an arbitrary configuration of defects. The active flows
generated by defects in the director lead to the formation of stable vortices,
analogous to those seen in confined systems in flat geometries, which generate
an effective dynamics for four +1/2 defects that reproduces the tetrahedral to
planar oscillations observed in experiments. As the activity is increased and
the vortices become stronger, the defects are drawn more tightly into pairs,
rotating about antipodal points. We extend this situation to also describe the
dynamics of other configurations of defects. For example, two +1 defects are
found to attract or repel according to the local geometric character of the
director field around them, while additional pairs of opposite charge defects
can give rise to flow states containing more than two vortices. Finally, we
describe the generic relationship between defects in the orientation and
singular points of the flow, and suggest implications for the three-dimensional
nature of the flow and deformation in the shape of the shell.


title: Supersymmetric Adler Functions and Holography

abstract:
  We perform several tests on a recent proposal by Shifman and Stepanyantz for
an exact expression for the current correlation functions in supersymmetric
gauge theories. We clarify the meaning of the relation in superconformal
theories. In particular we show that it automatically follows from known
relations between the current correlation functions and anomalies. It therefore
also automatically matches between different dual realizations of the same
superconformal theory. We use holographic examples as well as calculations in
free theories to show that the proposed relation fails in theories with mass
terms.


title:
Nagata's compactification theorem for normal toric varieties over a
  valuation ring of rank one

abstract:
  We prove, using invariant Zariski-Riemann spaces, that every normal toric
variety over a valuation ring of rank one can be embedded as an open dense
subset into a proper toric variety equivariantly. This extends a well known
theorem of Sumihiro for toric varieties over a field to this more general
setting.


title: On the Poisson relation for flat and spherical space forms

abstract:
  A general approach to proving that the length spectrum of a compact
Riemannian manifold is an invariant of the Laplace spectrum comes from
considering the wave trace, a spectrally determined tempered distribution. The
Poisson relation states that the singularities of the wave trace can only occur
at lengths of closed geodesics. Proving that the Poisson relation is an
equality; i.e., every length of a closed geodesic is a singularity of the wave
trace, yields an effective means of recovering the length spectrum from the
Laplace spectrum. Regarding spaces of constant curvature this is known to be
true for spaces of constant negative curvature. Continuing the study of space
forms, we show that the Poisson relation is an equality for all flat manifolds,
homogeneous lens spaces and three-dimensional lens spaces with fundamental
group of prime order.


title: A $q$-Clausen-Orr type formula and its applications

abstract:
  We show that certain terminating $_{6}\phi_5$ series can be factorized into a
product of two $_{3}\phi_{2}$ series. As applications we prove a summation
formula for a product of two $q$-Delannoy numbers along with some congruences
for sums involving $q$-Delannoy numbers. This confirms three recent conjectures
of the second author.


title:
Efficient and accurate modeling of electron photoemission in
  nanostructures with TDDFT

abstract:
  We review different computational methods for the calculation of
photoelectron spectra and angular distributions of atoms and molecules when
excited by laser pulses using time-dependent density-functional theory (TDDFT)
that are suitable for the description of electron emission in compact spatial
regions. We derive and extend the time-dependent surface-flux method introduced
in Reference [Tao L and Scrinzi A 2012 New Journal of Physics 14 013021] within
a TDDFT formalism and compare its performance to other existing methods. We
illustrate the performance of the new method by simulating strong-field
ionization of C$_{60}$ fullerene and discuss final state effects in the orbital
reconstruction of planar organic molecules.


title:
Analysis of Charmless Two-body B decays in Factorization Assisted
  Topological Amplitude Approach

abstract:
  We analyze charmless two-body non-leptonic B decays $B \to PP, PV$ under the
framework of factorization assisted topological amplitude approach, where
$P(V)$ denotes a light pseudoscalar (vector) meson. Compared with the
conventional flavor diagram approach, we consider flavor $SU(3)$ breaking
effect assisted by factorization hypothesis for topological diagram amplitudes
of different decay modes, factorizing out the corresponding decay constants and
form factors. The non-perturbative parameters of topology diagram magnitudes
$\chi$ and strong phase $\phi$ are universal that can be extracted by $\chi^2$
fit from current abundant experimental data of charmless B decays. The number
of free parameters and the $\chi^2$ per degree of freedom are both reduced
comparing with previous analysis. With these best fitted parameters, we predict
branching fractions and $CP$ asymmetry parameters of nearly 100 $B_{u,d}$ and
$B_s$ decay modes. The long-standing $\pi \pi$ and $\pi K$-$CP$ puzzles are
resolved simultaneoulsy.


title:
Baryogenesis of the Universe in cSMCS Model plus Iso-Doublet Vector
  Quark

abstract:
  CP violation of the SM is insufficient to explain the baryon asymmetry in the
universe and therefore an additional source of CP violation is needed. Here the
extension of the SM by a neutral complex scalar singlet with a nonzero vacuum
expectation value (cSMCS) plus a heavy vector quark pair is considered. This
model offers the spontaneous CP violation and proper description in the
baryogenesis, it leads strong enough first-order electro-weak phase transition
to suppress the baryon-violating sphaleron process.


title:
The Interface of the FK-representation of the Quantum Ising Model
  Converges to the $SLE_{16/3}$

abstract:
  We study the interface in the FK-representation of the 1D quantum Ising model
and show that in the limit, it converges to the $SLE_{16/3}$ curve.

categories: math.PR cond-mat.stat-mech math-ph math.MP


title: Concentration inequalities for a removal-driven thinning process

abstract:
  We prove exponential concentration estimates and a strong law of large
numbers for a particle system that is the simplest representative of a general
class of models for 2D grain boundary coarsening. The system consists of $n$
particles in $(0,\infty)$ that move at unit speed to the left. Each time a
particle hits the boundary point $0$, it is removed from the system along with
a second particle chosen uniformly from the particles in $(0,\infty)$. Under
the assumption that the initial empirical measure of the particle system
converges weakly to a measure with density $f_0(x) \in L^1_+(0,\infty)$, the
empirical measure of the particle system at time $t$ is shown to converge to
the measure with density $f(x,t)$, where $f$ is the unique solution to the
kinetic equation with nonlinear boundary coupling
  $$\partial_t f (x,t) - \partial_x f(x,t) = -\frac{f(0,t)}{\int_0^\infty
f(y,t)\, dy} f(x,t), \quad 0<x < \infty, $$ and initial condition
$f(x,0)=f_0(x)$.
  The proof relies on a concentration inequality for an urn model studied by
Pittel, and Maurey's concentration inequality for Lipschitz functions on the
permutation group.


title: Helfrich's Energy and Constrained Minimisation

abstract:
  For every $g\in\mathbb{N}_0$ and $\epsilon>0$, we construct a smooth genus
$g$ surface embedded into the unit ball with area $8\pi$ and Willmore energy
smaller than $8\pi + \epsilon$. From this we deduce that a minimising sequence
for Willmore's energy in the class of genus $g$ surfaces embedded in the unit
ball with area $8\pi$ converges to a doubly covered sphere for all
$g\in\mathbb{N}_0$. We obtain the same result for certain Canham-Helfrich
energies with $\chi_K\leq 0$ without genus constraint and show that
Canham-Helfrich energies with $\chi_K>0$ are not bounded from below in the
class of smooth surfaces with area $S$ embedded into a domain $\Omega\Subset
\mathbb{R}^3$.
  Furthermore, we prove that the class of connected surfaces embedded in a
domain $\Omega\Subset\mathbb{R}^3$ with uniformly bounded Willmore energy and
area is compact under varifold convergence.


title: Camera Pose Estimation from Lines using Pl\"ucker Coordinates

abstract:
  Correspondences between 3D lines and their 2D images captured by a camera are
often used to determine position and orientation of the camera in space. In
this work, we propose a novel algebraic algorithm to estimate the camera pose.
We parameterize 3D lines using Pl\"ucker coordinates that allow linear
projection of the lines into the image. A line projection matrix is estimated
using Linear Least Squares and the camera pose is then extracted from the
matrix. An algebraic approach to handle mismatched line correspondences is also
included. The proposed algorithm is an order of magnitude faster yet comparably
accurate and robust to the state-of-the-art, it does not require
initialization, and it yields only one solution. The described method requires
at least 9 lines and is particularly suitable for scenarios with 25 and more
lines, as also shown in the results.


title:
Water orientation and hydrogen-bond structure at the fluorite/water
  interface

abstract:
  Water in contact with mineral interfaces is important for a variety of
different processes. Here, we present a combined theoretical-experimental study
which provides a quantitative, molecular-level understanding of the ubiquitous
and important flourite-water interface. Our results show that, at low pH, the
surface is positively charged, causing a substantial degree of water ordering.
The surface charge originates primarily from the dissolution of fluoride ions,
rather than from adsorption of protons to the surface. At high pH we observe
the presence of Ca-OH species pointing into the water. These OH groups interact
remarkably weakly with the surrounding water, and are responsible for the free
OH signature in the SFG spectrum, which can be explained from local electronic
structure effects. The quantification of the surface termination, near-surface
ion distribution and water arrangement is enabled by a combination of advanced
phase-resolved Vibrational Sum Frequency Generation spectra of flourite-water
interfaces and state-of-the-art ab initio molecular dynamics simulations which
include electronic structure effects.


title: Detection of Equipment Faults Before Beam Loss

abstract:
  High-power hadron accelerators have strict limits on fractional beam loss. In
principle, once a high-quality beam is set up in an acceptable state, beam loss
should remain steady. However, in practice, there are many trips in operational
machines, owing to excessive beam loss. This paper deals with monitoring
equipment health to identify precursor signals that indicate an issue with
equipment that will lead to unacceptable beam loss. To this end, a variety of
equipment and beam signal measurements are described. In particular, several
operational examples from the Spallation Neutron Source (SNS) of deteriorating
equipment functionality leading to beam loss are reported.


title:
Evaluation and regularization of generalized Eisenstein series and
  application to 2D cylindrical harmonic sums

abstract:
  In the study of periodic media, conditionally convergent series are
frequently encountered and their regularization is crucial for applications. We
derive an identity that regularizes two-dimensional generalized Eisenstein
series for all Bravais lattices, yielding physically meaningful values. We also
obtain explicit forms for the generalized series in terms of conventional
Eisenstein series, enabling their closed-form evaluation for important high
symmetry lattices. Results are then used to obtain representations for the
related cylindrical harmonic sums, which are also given for all Bravais
lattices. Finally, we treat displaced lattices of high symmetry, expressing
them in terms of origin-centered lattices via geometric multi-set identities.
These identities apply to all classes of two-dimensional sums, allowing sums to
be evaluated over each constituent of a unit cell that possesses multiple
inclusions.


title: Coends and the tensor product of $\mathcal{C}$-modules

abstract:
  We give an introduction to the concept of Kan extensions, and study its
relation with the notions of coend and adjoint functors. We state and prove in
detail a well known formula to compute Kan extensions by using coends: a
certain colimit related to the concept of copower. Finally, we study the tensor
product of functors, and its relation with Kan extensions, in order to
represent the tensor product of $\mathcal{C}$-modules as a particular case.


title: Semi-Automated SVG Programming via Direct Manipulation

abstract:
  Direct manipulation interfaces provide intuitive and interactive features to
a broad range of users, but they often exhibit two limitations: the built-in
features cannot possibly cover all use cases, and the internal representation
of the content is not readily exposed. We believe that if direct manipulation
interfaces were to (a) use general-purpose programs as the representation
format, and (b) expose those programs to the user, then experts could customize
these systems in powerful new ways and non-experts could enjoy some of the
benefits of programmable systems.
  In recent work, we presented a prototype SVG editor called Sketch-n-Sketch
that offered a step towards this vision. In that system, the user wrote a
program in a general-purpose lambda-calculus to generate a graphic design and
could then directly manipulate the output to indirectly change design
parameters (i.e. constant literals) in the program in real-time during the
manipulation. Unfortunately, the burden of programming the desired
relationships rested entirely on the user.
  In this paper, we design and implement new features for Sketch-n-Sketch that
assist in the programming process itself. Like typical direct manipulation
systems, our extended Sketch-n-Sketch now provides GUI-based tools for drawing
shapes, relating shapes to each other, and grouping shapes together. Unlike
typical systems, however, each tool carries out the user's intention by
transforming their general-purpose program. This novel, semi-automated
programming workflow allows the user to rapidly create high-level, reusable
abstractions in the program while at the same time retaining direct
manipulation capabilities. In future work, our approach may be extended with
more graphic design features or realized for other application domains.


title: Hybrid Beamforming for Large Antenna Arrays with Phase Shifter Selection

abstract:
  This paper proposes an asymptotically optimal hybrid beamforming solution for
large antenna arrays by exploiting the properties of the singular vectors of
the channel matrix. It is shown that the elements of the channel matrix with
Rayleigh fading follow a normal distribution when large antenna arrays are
employed. The proposed beamforming algorithm is effective in both sparse and
rich propagation environments, and is applicable for both point-to-point and
multiuser scenarios. In addition, a closed-form expression and a lower-bound
for the achievable rates are derived when analog and digital phase shifters are
employed. It is shown that the performance of the hybrid beamformers using
phase shifters with more than 2-bits resolution is comparable with analog phase
shifting. A novel phase shifter selection scheme that reduces the power
consumption at the phase shifter network is proposed when the wireless channel
is modeled by Rayleigh fading. Using this selection scheme, the spectral
efficiency can be increased as the power consumption in the phase shifter
network reduces. Compared to the scenario that all of the phase shifters are in
operation, the simulation results indicate that the spectral efficiency
increases when up to 50% of phase shifters are turned off.


title:
Local well-posedness for the (n+1)-dimensional Maxwell-Klein-Gordon
  equations in temporal gauge

abstract:
  This is an extension of the paper [14] by the author for the 2+1 dimensional
Maxwell-Klein-Gordon equations in temporal gauge to the n+1 dimensional
situation for $n \ge 3$. They are shown to be locally well-posed for low
regularity data, in 3+1 dimensions even below energy level improving a result
by Yuan. Fundamental for the proof is a partial null structure of the
nonlinearity which allows to rely on bilinear estimates in wave-Sobolev spaces,
in 3+1 dimensions proven by d'Ancona, Foschi and Selberg, on an
$(L^{\frac{2(n+1)}{n-1}}_x L^2_t)$ - estimate for the solution of the wave
equation, and on the proof of a related result for the Yang-Mills equations by
Tao.


title: The extension problem of the mean curvature flow (I)

abstract:
  We show that the mean curvature blows up at the first finite singular time
for a closed smooth embedded mean curvature flow in R^3.


title: Facial Expression Recognition Using a Hybrid CNN-SIFT Aggregator

abstract:
  Deriving an effective facial expression recognition component is important
for a successful human-computer interaction system. Nonetheless, recognizing
facial expression remains a challenging task. This paper describes a novel
approach towards facial expression recognition task. The proposed method is
motivated by the success of Convolutional Neural Networks (CNN) on the face
recognition problem. Unlike other works, we focus on achieving good accuracy
while requiring only a small sample data for training. Scale Invariant Feature
Transform (SIFT) features are used to increase the performance on small data as
SIFT does not require extensive training data to generate useful features. In
this paper, both Dense SIFT and regular SIFT are studied and compared when
merged with CNN features. Moreover, an aggregator of the models is developed.
The proposed approach is tested on the FER-2013 and CK+ datasets. Results
demonstrate the superiority of CNN with Dense SIFT over conventional CNN and
CNN with SIFT. The accuracy even increased when all the models are aggregated
which generates state-of-art results on FER-2013 and CK+ datasets, where it
achieved 73.4% on FER-2013 and 99.1% on CK+.


title: CPT-Violating, Massive Photons and Cherenkov Radiation

abstract:
  CPT-Violating photons are well-known to have problems with energy positivity
in certain cases and therefore have not been convincingly quantized to date. We
find that by adding a small mass term, consistent with experimental bounds, the
theory can be regulated and allows for a consistent covariant quantization
procedure. This new framework is applied to a consistent quantum calculation of
vacuum Cherenkov radiation rates. These rates turn out to be largely
independent of the mass of the photon regulator used. In the physical regime,
accessible by ultra high energy cosmic rays, the behavior of the rate is
proportional to the square of the CPT-violating parameter and is not
realistically observable.


title: Numerical Study of Suspension Plasma Spraying

abstract:
  A numerical study of suspension plasma spraying (SPS) is presented in the
current work. The liquid suspension jet is replaced with a train of droplets
containing the suspension particles injected into the plasma flow. Atomization,
evaporation, and melting of different components are considered for droplets
and particles as they travel towards the substrate. Effect of different
parameters on particle conditions during flight and upon impact on the
substrate are investigated. Initially, influence of the torch operating
conditions such as inlet flow rate and power are studied. Additionally, effect
of injector parameters like injection location, flow rate, and angle are
examined. The model used in current study takes high temperature gradients and
non-continuum effects into account. Moreover, the important effect of change in
physical properties of suspension droplets as a result of evaporation is
included in the model. These mainly include variations in heat transfer
properties and viscosity. Utilizing this improved model, several test cases
have been considered to better evaluate the effect of different parameters on
the quality of particles during flight and upon impact on the substrate.


title: Controls and Machine Protection Systems

abstract:
  Machine protection, as part of accelerator control systems, can be managed
with a 'functional safety' approach, which takes into account product life
cycle, processes, quality, industrial standards and cybersafety. This paper
will discuss strategies to manage such complexity and the related risks, with
particular attention to fail-safe design and safety integrity levels, software
and hardware standards, testing, and verification philosophy. It will also
discuss an implementation of a machine protection system at the SLAC National
Accelerator Laboratory's Linac Coherent Light Source (LCLS).


title:
Toward Homological Characterization of Semirings by e-Injective
  Semimodules

abstract:
  In this paper, we introduce and study e-injective semimodules, in particular
over additively idempotent semirings. We completely characterize semirings all
of whose semimodules are e-injective, describe semirings all of whose
projective semimodules are e-injective, and characterize one-sided Noetherian
rings in terms of direct sums of e-injective semimodules. Also, we give
complete characterizations of bounded distributive lattices, subtractive
semirings, and simple semirings, all of whose cyclic (finitely generated)
semimodules are e-injective.


title:
Closed-loop robots driven by short-term synaptic plasticity: Emergent
  explorative vs. limit-cycle locomotion

abstract:
  We examine the hypothesis, that short-term synaptic plasticity (STSP) may
generate self-organized motor patterns. We simulated sphere-shaped autonomous
robots, within the LPZRobots simulation package, containing three weights
moving along orthogonal internal rods. The position of a weight is controlled
by a single neuron receiving excitatory input from the sensor, measuring its
actual position, and inhibitory inputs from the other two neurons. The
inhibitory connections are transiently plastic, following physiologically
inspired STSP-rules. We find that a wide palette of motion patterns are
generated through the interaction of STSP, robot, and environment (closed-loop
configuration), including various forward meandering and circular motions,
together with chaotic trajectories. The observed locomotion is robust with
respect to additional interactions with obstacles. In the chaotic phase the
robot is seemingly engaged in actively exploring its environment. We believe
that our results constitute a concept of proof that transient synaptic
plasticity, as described by STSP, may potentially be important for the
generation of motor commands and for the emergence of complex locomotion
patterns, adapting seamlessly also to unexpected environmental feedback. We
observe spontaneous and collision induced mode switchings, finding in addition,
that locomotion may follow transiently limit cycles which are otherwise
unstable. Regular locomotion corresponds to stable limit cycles in the
sensorimotor loop, which may be characterized in turn by arbitrary angles of
propagation. This degeneracy is, in our analysis, one of the drivings for the
chaotic wandering observed for selected parameter settings, which is induced by
the smooth diffusion of the angle of propagation.


title:
Detecting binarity of GW150914-like lenses in gravitational microlensing
  events

abstract:
  The recent discovery of gravitational waves (GWs) from stellar-mass binary
black holes (BBHs) provided direct evidence of the existence of these systems.
BBH lenses would have gravitational microlensing signatures that are distinct
from single-lens signals. We apply Bayesian statistics to examine the
distinguishability of BBH microlensing events from single-lens events under
ideal observing conditions, using the photometric capabilities of the Korean
Microlensing Telescope Network. Given one year of observations, a source star
at the Galactic Centre, a GW150914-like BBH lens (total mass 65M$_\odot$, mass
ratio 0.8) at half that distance, and an impact parameter of 0.4 Einstein
radii, we find that binarity is detectable for BBHs with separations down to
0.0250 Einstein radii, which is nearly 3.5 times greater than the maximum
separation for which such BBHs would merge within the age of the Universe.
Microlensing searches are thus sensitive to more widely separated BBHs than GW
searches, perhaps allowing the discovery of BBH populations produced in
different channels of binary formation.


title:
Fraction diffusion: Recovering the distributed fractional derivative
  from overposed data

abstract:
  There has been considerable recent study in "sub-diffusion" models that
replace the standard parabolic equation model by a one with a fractional
derivative in the time variable. There are many ways to look at this newer
approach and one such is to realize that the order of the fractional derivative
is related to the time scales of the underlying diffusion process. This raises
the question of what order ? of derivative should be taken and if a single
value actually suffices. This has led to models that combine a finite number of
these derivatives each with a different fractional exponent \alpha_k and
different weighting value c_k to better model a greater possible range of time
scales. Ultimately, one wants to look at a situation that combines derivatives
in a continuous way { the so-called distributional model with parameter
\mu(\alpha). However all of this begs the question of how one determines this
"order" of differentiation. Recovering a single fractional value has been an
active part of the process from the beginning of fractional diffusion modeling
and if this is the only unknown then the markers left by the fractional order
derivative are relatively straightforward to determine. In the case of a finite
combination of derivatives this becomes much more complex due to the more
limited analytic tools available for such equations, but recent progress in
this direction has been made, [9, 8]. This paper considers the full
distributional model where the order is viewed as a function \mu(\alpha) on the
interval (0; 1]. We show existence, uniqueness and regularity for an
initial-boundary value problem including an important representation theorem in
the case of a single spatial variable. This is then used in the inverse problem
of recovering the distributional coefficient \mu(\alpha) from a time trace of
the solution and a uniqueness result is proven.


title: The Python Sky Model: software for simulating the Galactic microwave sky

abstract:
  We present a numerical code to simulate maps of Galactic emission in
intensity and polarization at microwave frequencies, aiding in the design of
Cosmic Microwave Background experiments. This Python code builds on existing
efforts to simulate the sky by providing an easy-to-use interface and is based
on publicly available data from the WMAP and Planck satellite missions. We
simulate synchrotron, thermal dust, free-free, and anomalous microwave emission
over the whole sky, in addition to the Cosmic Microwave Background, and include
a set of alternative prescriptions for the frequency dependence of each
component that are consistent with current data. We also present a prescription
for adding small-scale realizations of these components at resolutions greater
than current all-sky measurements. The code is available at
https://github.com/bthorne93/PySM_public.


title: Fast approximate delivery of fluence maps: the single map case

abstract:
  In this first paper of a two-paper series, we present a method for optimizing
the dynamic delivery of fluence maps in radiation therapy. For a given fluence
map and a given delivery time, the optimization of the leaf trajectories of a
multi-leaf collimator to approximately form the given fluence map is a
non-convex optimization problem. Its general solution has not been addressed in
the literature, despite the fact that dynamic delivery of fluence maps has long
been a common approach to intensity modulated radiation therapy. We model the
leaf trajectory and dose rate optimization as a non-convex continuous
optimization problem and solve it by an interior point method from randomly
initialized feasible starting solutions. We demonstrate the method on a fluence
map from a prostate case and a larger fluence map from a head-and-neck case.
While useful for static beam IMRT delivery, our main motivation for this work
is the extension to the case of sequential fluence map delivery, i.e. the case
of VMAT, which is the topic of the second paper.


title: What are Lyapunov exponents, and why are they interesting?

abstract:
  This expository paper, based on a Current Events Bulletin talk at the
January, 2016 Joint Meetings, introduces the concept of Lyapunov exponents and
discusses the role they play in three areas: smooth ergodic theory,
Teichm\"uller theory, and the spectral theory of one-frequency Schr\"odinger
operators. The inspiration for this paper is the work of 2014 Fields Medalist
Artur Avila, and his work in these areas is given special attention.


title: An update on a few permanent conjectures

abstract:
  We review and update on a few conjectures concerning matrix permanent that
are easily stated, understood, and accessible to general math audience. They
are: Soules permanent-on-top conjecture${}^\dagger$, Lieb permanent dominance
conjecture, Bapat and Sunder conjecture${}^\dagger$ on Hadamard product and
diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on
permanent of permanents, and several other conjectures. Some of these
conjectures are recently settled; some are still open. We also raise a few new
questions for future study. (${}^\dagger$conjectures have been recently settled
negatively.)


title:
Effects of the quark-hadron phase transition on highly magnetized
  neutron stars

abstract:
  The presence of quark-hadron phase transitions in neutron stars can be
related to several interesting phenomena. In particular, previous calculations
have shown that fast rotating neutron stars, when subjected to a quark-hadron
phase transition in their interiors, could give rise to the backbending
phenomenon characterized by a spin-up era. In this work, we use an equation of
state composed of two phases, containing nucleons (and leptons) and quarks. The
hadronic phase is described in a relativistic mean field formalism that takes
many-body forces into account, and the quark phase is described by the MIT bag
model with a vector interaction. Stationary and axi-symmetric stellar models
are obtained in a self-consistent way by solving numerically the
Einstein-Maxwell equations by means of a pseudo-spectral method. As a result,
we obtain the interesting backbending phenomenon for fast spinning neutron
stars. More importantly, we show that a magnetic field, which is assumed to be
axi-symmetric and poloidal, can also be enhanced due to the phase transition
from normal hadronic matter to quark matter on highly magnetized neutron stars.
Therefore, in parallel to the spin-up era, classes of neutron stars endowed
with strong magnetic fields may go through a "magnetic-up era" in their lives.


title: Non-Abelian number theory and the structure of curves on surfaces

abstract:
  In this note we study numerically the combinatorics of curves and geodesics
on the torus with one boundary component. A potential computational difficulty
is avoided by counting inside specific orbits of the mapping class group up to
a certain length, either geometric or combinatorial. Some cases are rigurolosly
determined and the Euler totient function emerges. More complicated orbits are
computed to suggest an array of formulae continuing to involve the Euler
totient function. We formulate six precise conjectures. These include a novel
study of an "inverse" function of the Mirzakhani's asymptotics. The geometric
part of our study was motivated by the rationality aspect of these asymptotics.


title:
High-energy monitoring of NGC 4593 with XMM-Newton and NuSTAR. X-ray
  spectral analysis

abstract:
  We present results from a joint Xmm-Newton/NuSTAR monitoring of the Seyfert 1
NGC 4593, consisting of 5x20 ks simultaneous observations spaced by two days,
performed in January 2015. The source is variable, both in flux and spectral
shape, on time-scales down to a few ks and with a clear softer-when-brighter
behaviour. In agreement with past observations, we find the presence of a warm
absorber well described by a two-phase ionized outflow. The source exhibits a
cold, narrow and constant Fe K alpha line at 6.4 keV, and a broad component is
also detected. The broad-band (0.3-79 keV) spectrum is well described by a
primary power law with Gamma=1.6-1.8 and an exponential cut-off varying from
90(+40,-20) keV to >700 keV, two distinct reflection components, and a variable
soft excess correlated with the primary power law. This campaign shows that
probing the variability of Seyfert 1 galaxies on different time-scales is of
prime importance to investigate the high-energy emission of AGNs.


title: What is ... a blender?

abstract:
  What is a blender? In six illustrated pages we define the construction of a
blender and the role it plays in the study of smooth dynamical systems.


title: Surface Operators from M-strings

abstract:
  It has been found that surface operators have a significant role in AGT
relation. This duality is an outstanding consequence of M-theory, but it is
actually encoded into the brane web for which the topological string can work.
From this viewpoint, the surface defect in AGT relation is geometrically
engineered as a toric brane realization. Also, there is a class of the brane
configuration in M-theory called M-strings which can be translated into the
language of the topological string. In this work, we propose a new M-string
configuration which can realize AGT relation in the presence of the surface
defect by utilizing the geometric transition in the refined topological string.


title:
Popper Functions, Lexicographical Probability, and Non-Archimedean
  Probability

abstract:
  Standard probability theory has been extremely successful but there are some
conceptually possible scenarios, such as fair infinite lotteries, that it does
not model well. For this reason alternative probability theories have been
formulated. We look at three of these: Popper functions, a specific kind of
non-Archimedean probability functions, and lexicographic probability functions.
We relate Popper functions to non-Archimedean probability functions (of a
specific kind) by means of a representation theorem: every non-Archimedean
probability function is infinitesimally close to some Popper function, and vice
versa. We also show that non-Archimedean probability functions can be given a
lexicographic representation. Thus Popper functions, a specific kind of
non-Archimedean probability functions, and lexicographic probability functions
triangulate to the same place: they are in a good sense interchangeable.


title: Light cluster production at NICA

abstract:
  Light cluster production at the NICA accelerator complex offers unique
possibilities to use these states as "rare probes" of in-medium characteristics
such as phase space occupation and early flow. In order to explain this
statement, in this contribution theoretical considerations from the nuclear
statistical equilibrium model and from a quantum statistical model of cluster
production are supplemented with a discussion of a transport model for light
cluster formation and with results from hydrodynamic simulations combined with
the coalescence model.


title: Spectra and rates of bremsstrahlung neutrino emission in stars

abstract:
  We calculate the energy-differential rate for neutrino emission from
electron-nucleus bremsstrahlung in stellar interiors taking into account the
effects of electron screening and ionic correlations. We compare the
energy-differential and the net rates, as well as the average $\bar{\nu}_e$ and
$\bar{\nu}_x$ $(x = {\mu}, {\tau})$ energies, for this process with those for
$e^{\pm}$ pair annihilation, plasmon decay, and photo-neutrino emission over a
wide range of temperature and density. We also compare our updated energy loss
rates for the above thermal neutrino emission processes with the fitting
formulas widely used in stellar evolution models and determine the temperature
and density domain in which each process dominates. We discuss the implications
of our results for detection of $\bar{\nu}_e$ from massive stars during their
pre-supernova evolution and find that pair annihilation makes the predominant
contribution to the signal from the thermal emission processes.


title: Quantum discord in de Sitter space

abstract:
  We study quantum discord between two free modes of a massive scalar field in
a maximally entangled state in de Sitter space. We introduce two observers, one
in a global chart and the other in an open chart of de Sitter space, and the
observers determine the quantum discord created by each detecting one of the
modes. This situation is analogous to the relationship between an observer in a
Minkowski chart and another in one of the two Rindler charts in flat space. We
find that the state becomes less entangled as the curvature of the open chart
gets larger. In particular, for the cases of a massless, and a conformally
coupled scalar field, the entanglement vanishes in the limit of infinite
curvature. However, we find that the quantum discord never disappears even in
the limit that entanglement disappears.


title:
Salecker-Wigner-Peres quantum clock applied to strong-field tunnel
  ionization

abstract:
  The Salecker-Wigner-Peres quantum-clock approach is applied in order to
determine the tunneling time of an electron in strong-field tunnel ionization
via a time-dependent electric field. Our results show that the ionization of
the electron takes a nonvanishing period of time. This tunneling time is of the
order of the Keldysh time but strictly larger than the Keldysh time. Comparing
the quantum-clock tunneling time to the mean tunneling time as obtained by the
virtual-detector approach, one finds that these two complementary methods give
very similar results. Due to the asymmetric distribution of the tunneling time,
there is a nonnegligible discrepancy between the mean tunneling time and the
most probable tunneling time.


title:
Low magnetic Johnson noise electric field plates for precision
  measurement

abstract:
  We describe a parallel pair of high voltage electric field plates designed
and constructed to minimise magnetic Johnson noise. They are formed by
laminating glass substrates with commercially available polyimide (Kapton)
tape, covered with a thin gold film. Tested in vacuum, the outgassing rate is
less than $5\times10^{-5}$ mbar.l/s. The plates have been operated at electric
fields up to 8.3 kV/cm, when the leakage current is at most a few hundred pA.
The design is discussed in the context of a molecular spin precession
experiment to measure the permanent electric dipole moment of the electron.


title:
Applying Contact Angle to a 2D Multiphase Smoothed Particle
  Hydrodynamics Model

abstract:
  Equilibrium contact angle of liquid drops over horizontal surfaces has been
modeled using Smoothed Particle Hydrodynamics (SPH). The model is capable of
accurate implementation of contact angles to stationary and moving contact
lines. In this scheme, the desired value for stationary or dynamic contact
angle is used to correct the profile near the triple point. This is achieved by
correcting the surface normals near the contact line and also interpolating the
drop profile into the boundaries. Simulations show that a close match to the
chosen contact angle values can be achieved for both stationary and moving
contact lines. This technique has proven to reduce the amount of nonphysical
shear stresses near the triple point and to enhance the convergence
characteristics of the solver.


title:
Well-posedness of thermal layer equations for inviscid compressible
  flows

abstract:
  A semi-explicit formula of solution to the boundary layer system for thermal
layer derived from the compressible Navier-Stokes equations with the non-slip
boundary condition when the viscosity coefficients vanish is given, in
particular in three space dimension. In contrast to the inviscid Prandtl system
studied by [7] in two space dimension, the main difficulty comes from the
coupling of the velocity field and the temperature field through a degenerate
parabolic equation. The convergence of these boundary layer equations to the
inviscid Prandtl system is justified when the initial temperature goes to a
constant. Moreover, the time asymptotic stability of the linearized system
around a shear flow is given, and in particular, it shows that in three space
dimension, the asymptotic stability depends on whether the direction of
tangential velocity field of the shear flow is invariant in the normal
direction respective to the boundary.


title:
Liftago On-Demand Transport Dataset and Market Formation Algorithm Based
  on Machine Learning

abstract:
  This document serves as a technical report for the analysis of on-demand
transport dataset. Moreover we show how the dataset can be used to develop a
market formation algorithm based on machine learning. Data used in this work
comes from Liftago, a Prague based company which connects taxi drivers and
customers through a smartphone app. The dataset is analysed from the
machine-learning perspective: we give an overview of features available as well
as results of feature ranking. Later we propose the SImple Data-driven MArket
Formation (SIDMAF) algorithm which aims to improve a relevance while connecting
customers with relevant drivers. We compare the heuristics currently used by
Liftago with SIDMAF using two key performance indicators.


title: Continuity, the Bloch-Torrey equation, and Diffusion MRI

abstract:
  The Bloch equation describes the evolution of classical particles tagged with
a magnetisation vector in a strong magnetic field and is fundamental to many
NMR and MRI contrast methods. The equation can be generalised to include the
effects of spin motion by including a spin flux, which typically contains a
Fickian diffusive term and/or a coherent velocity term. This form is known as
the Bloch-Torrey equation, and is fundamental to MR modalities which are
sensitive to spin dynamics such as diffusion MRI. Such modalities have received
a great deal of interest in the research literature over the last few years,
resulting in a huge range of models and methods.
  In this work we make make use of a more general Bloch-Torrey equation with a
generalised flux term. We show that many commonly employed approaches in
Diffusion MRI may be viewed as different choices for the flux terms in this
equation. This viewpoint, although obvious theoretically, is not usually
emphasised in the diffusion MR literature and points to interesting new
directions for methods development.
  In the interests of completeness, we describe all the necessary mathematical
and physical framework -- including the method used to solve the various
Bloch-Torrey equations. We then review the relevant portions of the diffusion
MRI literature and show how different flux choices lead to different models.
All the models considered here are continuum-based but we also discuss their
relationship to so-called microstructure methods and other more advanced ideas
such as time-dependent diffusivities.


title:
Theory of invariants-based formulation of ${\bf k}\cdot{\bf p}$
  Hamiltonians with application to strained zinc-blende crystals

abstract:
  Group theoretical methods and ${\bf k}\cdot{\bf p}$ theory are combined to
determine spin-dependent contributions to the effective conduction band
Hamiltonian. To obtain the constants in the effective Hamiltonian, in general
all invariants of the Hamiltonian have to be determined. Hence, we present a
systematic approach to keep track of all possible invariants and apply it to
the ${\bf k}\cdot{\bf p}$ Hamiltonian of crystals with zinc-blende symmetry, in
order to obtain all possible contributions to effective quantities such as
effective mass, g-factor and Dresselhaus constant. Further spin-dependent
contributions to the effective Hamiltonian arise in the presence of strain. In
particular, with regard to the constants $C_3$ and $D$ which describe
spin-splitting linear in the components of ${\bf k}$ and
${\boldsymbol\varepsilon}$, considering all possible terms allowed by symmetry
is crucial.


title: Classification with the pot-pot plot

abstract:
  We propose a procedure for supervised classification that is based on
potential functions. The potential of a class is defined as a kernel density
estimate multiplied by the class's prior probability. The method transforms the
data to a potential-potential (pot-pot) plot, where each data point is mapped
to a vector of potentials. Separation of the classes, as well as classification
of new data points, is performed on this plot. For this, either the
$\alpha$-procedure ($\alpha$-P) or $k$-nearest neighbors ($k$-NN) are employed.
For data that are generated from continuous distributions, these classifiers
prove to be strongly Bayes-consistent. The potentials depend on the kernel and
its bandwidth used in the density estimate. We investigate several variants of
bandwidth selection, including joint and separate pre-scaling and a bandwidth
regression approach. The new method is applied to benchmark data from the
literature, including simulated data sets as well as 50 sets of real data. It
compares favorably to known classification methods such as LDA, QDA, max kernel
density estimates, $k$-NN, and $DD$-plot classification using depth functions.


title:
Coupling of single NV Center to adiabatically tapered optical single
  mode fiber

abstract:
  We demonstrated a simple and reliable technique of coupling diamond
nanocrystal containing NV center to tapered optical fiber. We carefully studied
fluorescence of the fiber itself and were able to suppress it to the level
lower than single photon emission from the NV center. Single photon statistics
was demonstrated at the fiber end as well as up to 3 times improvement in
collection efficiency with respect to our confocal microscope


title: Sequence mixed graphs

abstract:
  A mixed graph can be seen as a type of digraph containing some edges (two
opposite arcs). Here we introduce the concept of sequence mixed graphs, which
is a generalization of both sequence graphs and iterated line digraphs. These
structures are proven to be useful in the problem of constructing dense graphs
or digraphs, and this is related to the degree/diameter problem. Thus, our
generalized approach gives rise to graphs that have also good ratio
order/diameter. Moreover, we propose a general method for obtaining a sequence
mixed digraph by identifying some vertices of a certain iterated line digraph.
As a consequence, some results about distance-related parameters (mainly, the
diameter and the average distance) of sequence mixed graphs are presented.


title: Hyper-lithography

abstract:
  The future success of integrated circuits (IC) technology relies on the
continuing miniaturization of the feature size, allowing more components per
chip and higher speed. Extreme anisotropy opens new opportunities for spatial
pattern compression from the micro- to nano-scale. Such compression, enabling
visible light-based lithographic patterning not restricted by the fundamental
diffraction limit,if realized,may address the ever-increasing demand of IC
industry for inexpensive, all-optical nanoscale lithography. By exploiting
strongly anisotropic optical properties of engineered nanostructures, we
realize the first experimental demonstration of hyperlens-based
photolithography, facilitating optical patterning below the diffraction limit
using a diffraction-limited mask. We demonstrate that the diffraction-limited
features on a mask can be de-magnified to form the subwavelength patterns on
the photoresist using visible light. This unique functionality,enabled by the
hyperbolic dispersive properties of the medium combined with the cylindrical
shape of the structure, opens a new approach to the future all-optical
nanolithography.


title:
Infinitely Multiple Steps in Magnetization of Ferro- and
  Antiferromagnetic Ising Models with Frustration on a Diamond Hierarchical
  Lattice

abstract:
  Magnetizations of ferro- and antiferromagnetic Ising models with frustration
on diamond hierarchical lattices are exactly obtained at zero temperature. For
the zero-field classical spin-liquid phase found in [Kobayashi {\it et al}, J.
Phys. Soc. Jpn. 78, 074004 (2009) ], for which frustrating interactions play an
important role, an infinitely small applied magnetic field can induce an
infinitely small magnetization, despite classical Ising models that have
discrete energy levels. In antiferromagnetic systems, the magnetization cannot
saturate under finite magnetic fields owing to the competition between the
unfrustrating antiferromagnetic interaction and the Zeeman interaction and an
intrinsic long-range nature of hierarchical lattices.


title:
Optimal Relay Selection for the Parallel Hybrid RF/FSO Relay Channel:
  Non-Buffer-Aided and Buffer-Aided Designs

abstract:
  Hybrid radio frequency (RF)/free space optical (FSO) systems are among the
candidate enabling technologies for the next generation of wireless networks
since they benefit from both the high data rates of the FSO subsystem and the
high reliability of the RF subsystem. In this paper, we focus on the problem of
throughput maximization in the parallel hybrid RF/FSO relay channel. In the
parallel hybrid RF/FSO relay channel, a source node sends its data to a
destination node with the help of multiple relay nodes. Thereby, for a given
relay, the source-relay and the relay-destination FSO links are orthogonal with
respect to each other due to the narrow beam employed for FSO transmission,
whereas, due to the broadcast nature of the RF channel, half-duplex operation
is required for the RF links if self-interference is to be avoided. Moreover,
we consider the two cases where the relays are and are not equipped with
buffers. For both cases, we derive the optimal relay selection policies for the
RF and FSO links and the optimal time allocation policy for transmission and
reception for the RF links. The proposed optimal protocols provide important
insights for optimal system design. Since the optimal buffer-aided (BA) policy
introduces an unbounded end-to-end delay, we also propose a suboptimal BA
policy which ensures certain target average delays. Moreover, we present
distributed implementations for both proposed optimal protocols. Simulation
results demonstrate that a considerable gain can be achieved by the proposed
adaptive protocols in comparison with benchmark schemes from the literature.


title: On Wright's generalized Bessel kernel

abstract:
  In this paper, we consider the Wright's generalized Bessel kernel
$K^{(\alpha,\theta)}(x,y)$ defined by $$\theta
x^{\alpha}\int_0^1J_{\frac{\alpha+1}{\theta},\frac{1}{\theta}}(ux)J_{\alpha+1,\theta}((uy)^{\theta})u^\alpha\,\mathrm{d}
u, \qquad \alpha>-1, \qquad \theta>0,$$ where
$$J_{a,b}(x)=\sum_{j=0}^\infty\frac{(-x)^j}{j!\Gamma(a+bj)},\qquad
a\in\mathbb{C},\qquad b>-1,$$ is Wright's generalization of the Bessel
function. This non-symmetric kernel, which generalizes the classical Bessel
kernel (corresponding to $\theta=1$) in random matrix theory, is the hard edge
scaling limit of the correlation kernel for certain Muttalib-Borodin ensembles.
We show that, if $\theta$ is rational, i.e., $\theta=\frac{m}{n}$ with
$m,n\in\mathbb{N}$, $gcd(m,n)=1$, and $\alpha > m-1-\frac{m}{n}$, the Wright's
generalized Bessel kernel is integrable in the sense of
Its-Izergin-Korepin-Slavnov. We then come to the Fredholm determinant of this
kernel over the union of several scaled intervals, which can also be
interpreted as the gap probability (the probability of finding no particles) on
these intervals. The integrable structure allows us to obtain a system of
coupled partial differential equations associated with the corresponding
Fredholm determinant as well as a Hamiltonian interpretation. As a consequence,
we are able to represent the gap probability over a single interval $(0,s)$ in
terms of a solution of a system of nonlinear ordinary differential equations.


title: Proximity effects in cold atom artificial graphene

abstract:
  Cold atoms in an optical lattice with brick-wall geometry have been used to
mimic graphene, a two-dimensional material with characteristic Dirac
excitations. Here we propose to bring such artificial graphene into the
proximity of a second atomic layer with a square lattice geometry. For
non-interacting fermions, we find that such bilayer system undergoes a phase
transition from a graphene-like semi-metal phase, characterized by a band
structure with Dirac points, to a gapped band insulator phase. In the presence
of attractive interactions between fermions with pseudospin-1/2 degree of
freedom, a competition between semi-metal and superfluid behavior is found at
the mean-field level. Using the quantum Monte Carlo method, we also investigate
the case of strong repulsive interactions. In the Mott phase, each layer
exhibits a different amount of long-range magnetic order. Upon coupling both
layers, a valence-bond crystal is formed at a critical coupling strength.
Finally, we discuss how these bilayer systems could be realized in existing
cold atom experiments.

categories: cond-mat.quant-gas cond-mat.mtrl-sci cond-mat.str-el physics.atom-ph quant-ph


title:
Charges and currents in quantum spin chains: late-time dynamics and
  spontaneous currents

abstract:
  We review the structure of the conservation laws in noninteracting spin
chains and unveil a formal expression for the corresponding currents. We
briefly discuss how interactions affect the picture. In the second part, we
explore the effects of a localized defect. We show that the emergence of
spontaneous currents near the defect undermines any description of the
late-time dynamics by means of a stationary state in a finite chain. In
particular, the diagonal ensemble does not work. Finally, we provide numerical
evidence that simple generic localized defects are not sufficient to induce
thermalization.

categories: cond-mat.stat-mech math-ph math.MP quant-ph


title:
Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed
  Boundary Conditions

abstract:
  Under a Morse index condition we prove symmetry results for solutions of a
nonlinear mixed boundary condition elliptic problem. As an intermediate step we
relate the Morse index of a solution to a mixed boundary condition linear
eigenvalue problem for which we construct sequences of eigenvalues and provide
variational characterization of them.


title: Non-Integrable Pfaffian Systems

abstract:
  We discuss a recurrent geometrical method, due to \'Elie Cartan and von Weber
([1],[11]) enabling us to determine, step by step, the maximal integral
manifolds of a not necessarily integrable nor regular Pfaffian system. The
dimensions of such integral manifolds can, of course, vary from point to point
but more so can vary at a given point it depending upon the choice of their
recurrent buildup. When the system is regular and integrable then, of course,
we obtain the maximal integral leaves of the integral foliation. Attention is
also given to those integrable systems that can be integrated by quadratures
which was, in the 19th century, the dream of many. However, our main interest
resides in enhancing the Jordan-H\"older integration procedure so as to
construct the local maximal integral manifolds that find many applications.


title:
Short-term variability and mass loss in Be stars II. Physical taxonomy
  of photometric variability observed by the Kepler spacecraft

abstract:
  Context: [abbreviated]
  Aims: Kepler data of three known Be stars are re-visited to establish their
pulsational nature and assess the properties of additional, non-pulsational
variations. The three program stars turned out to be one inactive Be star, one
active, continuously outbursting Be star, and one Be star transiting from a
non-outbursting into an outbursting phase, thus forming an excellent sample to
distill properties of Be stars in the various phases of their life-cycle.
  Methods: [abbreviated]
  Results: The short-term photometric variability of Be stars must be
disentangled into a stellar and a circumstellar part. The stellar part is on
the whole not different from what is seen in non-Be stars. However, some of the
observed phenomena might be to be due to resonant mode coupling, a mechanism
not typically considered for B-type stars. Short-term circumstellar variability
comes in the form of either a group of relatively well-defined, short-lived
frequencies during outbursts, which are called \v{S}tefl frequencies, and broad
bumps in the power spectra, indicating aperiodic variability on a time scale
similar to typical low-order $g$-mode pulsation frequencies, rather than true
periodicity.
  Conclusions: From a stellar pulsation perspective, Be stars are rapidly
rotating SPB stars, that is they pulsate in low order $g$-modes, even if the
rapid rotation can project the observed frequencies into the traditional
high-order $p$-mode regime above about 4 c/d. However, when a circumstellar
disk is present, Be star power spectra are complicated by both cyclic, or
periodic, and aperiodic circumstellar phenomena, possibly even dominating the
power spectrum.


title:
The Canada-France Ecliptic Plane Survey (CFEPS) - High Latitude
  Component

abstract:
  We report the orbital distribution of the Trans-Neptunian objects (TNOs)
discovered during the High Ecliptic Latitude (HiLat) extension of the
Canada-France Ecliptic Plane Survey (CFEPS), conducted from June 2006 to July
2009. The HiLat component was designed to address one of the shortcomings of
ecliptic surveys (like CFEPS), their lack of sensitivity to high-inclination
objects. We searched 701~deg$^2$ of sky ranging from 12$^\circ$ to 85$^\circ$
ecliptic latitude and discovered \lKBO TNOs, with inclinations between
15$^\circ$ to 104$^\circ$. This survey places a very strong constraint on the
inclination distribution of the hot component of the classical Kuiper Belt,
ruling out any possibility of a large intrinsic fraction of highly inclined
orbits. Using the parameterization of \citet{2001AJ....121.2804B}, the HiLat
sample combined with CFEPS imposes a width $14^\circ \le \sigma \le
15.5^\circ$, with a best match for $\sigma = 14.5^\circ$. HiLat discovered the
first retrograde TNO, 2008~KV$_{42}$, with an almost polar orbit with
inclination 104$^\circ$, and (418993), a scattering object with perihelion in
the region of Saturn's influence, with $a \sim 400$~AU and $i = 68^\circ$.


title:
Carleman weight functions for a globally convergent numerical method for
  ill-posed Cauchy problems for some quasilinear PDEs

abstract:
  In a series of publications of the second author, including some with
coauthors, globally strictly convex Tikhonov-like functionals were constructed
for some nonlinear ill-posed problems. The main element of such a functional is
the presence of the Carleman Weight Function. Compared with previous
publications, the main novelty of this paper is that the existence of the
regularized solution (i.e. the minimizer) is proved rather than assumed. The
method works for both ill-posed Cauchy problems for some quasilinear PDEs of
the second order and for some Coefficient Inverse Problems. However, to
simplify the presentation, we focus here only on ill-posed Cauchy problems.
Along with the theory, numerical results are presented for the case of a 1-D
quasilinear parabolic PDE with the lateral Cauchy data given on one edge of the
interval (0,1).


title: Revisiting Sub-sampled Newton Methods

abstract:
  Many machine learning models depend on solving a large scale optimization
problem. Recently, sub-sampled Newton methods have emerged to attract much
attention for optimization due to their efficiency at each iteration, rectified
a weakness in the ordinary Newton method of suffering a high cost at each
iteration while commanding a high convergence rate. In this work we propose two
new efficient Newton-type methods, Refined Sub-sampled Newton and Refined
Sketch Newton. Our methods exhibit a great advantage over existing sub-sampled
Newton methods, especially when Hessian-vector multiplication can be calculated
efficiently. Specifically, the proposed methods are shown to converge
superlinearly in general case and quadratically under a little stronger
assumption. The proposed methods can be generalized to a unifying framework for
the convergence proof of several existing sub-sampled Newton methods, revealing
new convergence properties. Finally, we empirically evaluate the performance of
our methods on several standard datasets and the results show consistent
improvement in computational efficiency.


title: Primes and fields in stable motivic homotopy theory

abstract:
  Let F be a field of characteristic different than 2. We establish
surjectivity of Balmer's comparison map rho^* from the tensor triangular
spectrum of the homotopy category of compact motivic spectra to the homogeneous
Zariski spectrum of Milnor-Witt K-theory. We also comment on the tensor
triangular geometry of compact cellular motivic spectra, producing in
particular novel field spectra in this category. We conclude with a list of
questions about the structure of the tensor triangular spectrum of the stable
motivic homotopy category.


title:
Propagation of chaos for H\"older continuous interaction kernels via
  Glivenko-Cantelli

abstract:
  We develop a new technique for establishing quantitative propagation of chaos
for systems of interacting particles. Using this technique we prove propagation
of chaos for diffusing particles whose interaction kernel is merely H\"older
continuous, even at long ranges. Moreover, we do not require specially prepared
initial data. On the way, we establish a law of large numbers for SDEs that
holds over a class of vector fields simultaneously. The proofs bring together
ideas from empirical process theory and stochastic flows.


title:
Exact Solutions on the Ground States of Ising Models in Magnetic Fields
  with Frustration on a Diamond Hierarchical Lattice

abstract:
  Magnetization processes of Ising models with frustration on diamond
hierarchical lattices, which contain vertices with high coordination numbers,
are exactly obtained at zero temperature. In antiferromagnetic systems, the
magnetization cannot saturate under finite magnetic fields owing to the
competition between the antiferromagnetic and Zeeman interactions and the
intrinsic long-range nature of hierarchical lattices. For the zero-field
classical spin-liquid phase found in [Kobayashi et al., J. Phys. Soc. Jpn. 78,
074004 (2009)], an infinitely small applied magnetic field can induce an
infinitely small magnetization, despite Ising models that have discrete energy
levels. By examining the structure of the partition function, we obtain the
ground state spin-configurations and clarify the mechanism of the "gapless like
behavior".


title: Resolution to the quantum-classical dilemma in thermal ghost imaging

abstract:
  There has been an intense debate on the quantum versus classical origin of
ghost imaging with a thermal light source over the last two decades. A lot of
distinguished work has contributed to this topic, both theoretically and
experimentally, however, to this day this quantum-classical dilemma still
persists. Here we formulate for the first time a density matrix in the photon
orbital angular momentum (OAM) Hilbert space to fully characterize the two-arm
ghost imaging system with the basic definition of thermal light sources. Our
formulation offers a mathematically precise method to describe the formation of
a ghost image in a nonlocal fashion. More importantly, it provides a more
physically intuitive picture to reveal the quantumness hidden in the thermal
ghost imaging, and therefore, presenting a sound resolution to the ongoing
quantum-classical dilemma, which distinguishes the quantum correlations beyond
entanglement in terms of geometric measure of discord. Our work also suggests
further studies of using thermal multi-photon OAM states directly to implement
some quantum information tasks.


title: Inverse Random Source Scattering for Elastic Waves

abstract:
  This paper is concerned with the direct and inverse random source scattering
problems for elastic waves where the source is assumed to be driven by an
additive white noise. Given the source, the direct problem is to determine the
displacement of the random wave field. The inverse problem is to reconstruct
the mean and variance of the random source from the boundary measurement of the
wave field at multiple frequencies. The direct problem is shown to have a
unique mild solution by using a constructive proof. Based on the explicit mild
solution, Fredholm integral equations of the first kind are deduced for the
inverse problem. The regularized Kaczmarz method is presented to solve the
ill-posed integral equations. Numerical experiments are included to demonstrate
the effectiveness of the proposed method.


title: A badly expanding set on the $2$-torus

abstract:
  We give a counterexample to a conjecture stated in Linial and London 2006
regarding expansion on $\mathbb{T}^2$ under $\begin{bmatrix}1&1\\
0&1\end{bmatrix}$ and $\begin{bmatrix}1&0\\ 1&1\end{bmatrix}$.


title: No repulsive force in General Relativity

abstract:
  We show that a recent assertion [arXiv:1608.01541] that gravitational wave
emission can lead to a repulsive force explaining the accelerated expansion of
the Universe is totally unfounded.


title: Local rewiring algorithms to increase clustering and grow a small world

abstract:
  Many real-world networks have high clustering among vertices: vertices that
share neighbors are often also directly connected to each other. A network's
clustering can be a useful indicator of its connectedness and community
structure. Algorithms for generating networks with high clustering have been
developed, but typically rely on adding or removing edges and nodes, sometimes
from a completely empty network. Here, we introduce algorithms that create a
highly clustered network by starting with an existing network and rearranging
edges, without adding or removing them; these algorithms can preserve other
network properties even as the clustering increases. They rely on local
rewiring rules, in which a single edge changes one of its vertices in a way
that is guaranteed to increase clustering. This greedy step can be applied
iteratively to transform a random network into a form with much higher
clustering. Additionally, the algorithms presented grow a network's clustering
faster than they increase its path length, meaning that network enters a regime
of comparatively high clustering and low path length: a small world. These
algorithms may be a basis for how real-world networks rearrange themselves
organically to achieve or maintain high clustering and small-world structure.


title:
Temporal Correlation of Interference and Outage in Mobile Networks over
  One-Dimensional Finite Regions

abstract:
  In practice, wireless networks are deployed over finite domains, the level of
mobility is different at different locations, and user mobility is correlated
over time. All these features have an impact on the temporal properties of
interference which is often neglected. In this paper, we show how to
incorporate correlated user mobility into the interference and outage
correlation models. We use the random waypoint mobility model over a bounded
one-dimensional domain as an example model inducing correlation, and we
calculate its displacement law at different locations. Based on that, we
illustrate that the temporal correlations of interference and outage are
location-dependent, being lower close to the centre of the domain, where the
level of mobility is higher than near the boundary. Close to the boundary, more
time is also needed to see uncorrelated interference. Our findings suggest that
an accurate description of the mobility pattern is important, because it leads
to more accurate understanding/modeling of interference and receiver
performance.


title: Proper holomorphic maps from the unit disk to some unit ball

abstract:
  We study proper rational maps from the unit disk to balls in higher
dimensions. After gathering some known results, we study the moduli space of
unitary equivalence classes of polynomial proper maps from the disk to a ball,
and we establish a normal form for these equivalence classes. We also prove
that all rational proper maps from the disk to a ball are homotopic in target
dimension at least $2$.


title: Disk-Jet quenching of the Galactic Black Hole Swift J1753.5-0127

abstract:
  We report on radio and X-ray monitoring observations of the BHC Swift
J1753.5-0127 taken over a ~10 year period. Presented are daily radio
observations at 15 GHz with the AMI-LA and X-ray data from Swift XRT and BAT.
Also presented is a deep 2hr JVLA observation taken in an unusually
low-luminosity soft-state (with a low disk temperature). We show that although
the source has remained relatively radio-quiet compared to XRBs with a similar
X-ray luminosity in the hard-state, the power-law relationship scales as
$\zeta=0.96\pm0.06$ i.e. slightly closer to what has been considered for
radiatively inefficient accretion disks. We also place the most stringent limit
to date on the radio-jet quenching in an XRB soft-state, showing the connection
of the jet quenching to the X-ray power-law component; the radio flux in the
soft-state was found to be $<21~\mu$Jy, which is a quenching factor of
$\gtrsim25$


title:
Compensated ferrimagnetic tetragonal Heusler thin films for
  antiferromagnetic spintronics

abstract:
  In recent years, antiferromagnetic spintronics has received much attention
since ideal antiferromagnets do not produce stray fields and are much more
stable to external magnetic fields compared to materials with net
magnetization. Akin to antiferromagnets, compensated ferrimagnets have zero net
magnetization but have the potential for large spin-polarization and strong out
of plane magnetic anisotropy, and, hence, are ideal candidates for high density
memory applications. Here, we demonstrate that a fully compensated magnetic
state with a tunable magnetic anisotropy is realized in Mn-Pt-Ga based
tetragonal Heusler thin films. Furthermore, we show that a bilayer formed from
a fully compensated and a partially compensated Mn-Pt-Ga layer, exhibits a
large interfacial exchange bias up to room temperature. The present work
establishes a novel design principle for spintronic devices that are formed
from materials with similar elemental compositions and nearly identical crystal
and electronic structures. Such devices are of significant practical value due
to their improved properties such as thermal stability. The flexible nature of
Heusler materials to achieve tunable magnetizations, and anisotropies within
closely matched materials provides a new direction to the growing field of
antiferromagnetic spintronics.


title:
Effective Data Mining Technique for Classification Cancers via Mutations
  in Gene using Neural Network

abstract:
  The prediction plays the important role in detecting efficient protection and
therapy of cancer. The prediction of mutations in gene needs a diagnostic and
classification, which is based on the whole database (big dataset), to reach
sufficient accuracy results. Since the tumor suppressor P53 is approximately
about fifty percentage of all human tumors because mutations that occur in the
TP53 gene into the cells. So, this paper is applied on tumor p53, where the
problem is there are several primitive databases (excel database) contain
datasets of TP53 gene with its tumor protein p53, these databases are rich
datasets that cover all mutations and cause diseases (cancers). But these Data
Bases cannot reach to predict and diagnosis cancers, i.e. the big datasets have
not efficient Data Mining method, which can predict, diagnosis the mutation,
and classify the cancer of patient. The goal of this paper to reach a Data
Mining technique, that employs neural network, which bases on the big datasets.
Also, offers friendly predictions, flexible, and effective classified cancers,
in order to overcome the previous techniques drawbacks. This proposed technique
is done by using two approaches, first, bioinformatics techniques by using
BLAST, CLUSTALW, etc, in order to know if there are malignant mutations or not.
The second, data mining by using neural network; it is selected (12) out of
(53) TP53 gene database fields. To clarify, one of these 12 fields (gene
location field) did not exists in TP53 gene database; therefore, it is added to
the database of TP53 gene in training and testing back propagation algorithm,
in order to classify specifically the types of cancers. Feed Forward Back
Propagation supports this Data Mining method with data training rate (1) and
Mean Square Error (MSE) (0.00000000000001). This effective technique allows in
a quick, accurate and easy way to classify the type of cancer.


title: Localized shear generates three-dimensional transport

abstract:
  Understanding the mechanisms that control three-dimensional (3D) fluid
transport is central to many processes including mixing, chemical reaction and
biological activity. Here a novel mechanism for 3D transport is uncovered where
fluid particles are kicked between streamlines near a localized shear, which
occurs in many flows and materials. This results in 3D transport similar to
Resonance Induced Dispersion (RID); however, this new mechanism is more rapid
and mutually incompatible with RID. We explore its governing impact with both
an abstract 2-action flow and a model fluid flow. We show that transitions from
one-dimensional (1D) to two-dimensional (2D) and 2D to 3D transport occur based
on the relative magnitudes of streamline jumps in two transverse directions.


title: A Classification of Semeai with Approach Moves

abstract:
  The paper analyzes liberty races (semeai) in the game of Go. A rigorous
treatment of positions with approach moves but no ko revealed a class of
positions not described in the literature before.
  The complete presented classification is simpler and more compact than the
one used so far. This was achieved through a classification by the types of
liberties and the order they are to be filled instead of a classification by
group status.
  A principal difference to semeai without approach moves is that in the
presence of approach moves and shared liberties and the absence of eyes, two
different strategies are possible because the un-orthodox filling of shared
liberties instead of outer liberties may be a better strategy.


title: Sums of variables at the onset of chaos, replenished

abstract:
  As a counterpart to our previous study of the stationary distribution formed
by sums of positions at the Feigenbaum point via the period-doubling cascade in
the logistic map (Eur. Phys. J. B 87 32, (2014)), we determine the family of
related distributions for the accompanying cascade of chaotic band-splitting
points in the same system. By doing this we rationalize how the interplay of
regular and chaotic dynamics gives rise to either multiscale or gaussian limit
distributions. As demonstrated before (J. Stat. Mech. P01001 (2010)), sums of
trajectory positions associated with the chaotic-band attractors of the
logistic map lead only to a gaussian limit distribution, but, as we show here,
the features of the stationary multiscale distribution at the Feigenbaum point
can be observed in the distributions obtained from finite sums with
sufficiently small number of terms. The multiscale features are acquired from
the repellor preimage structure that dominates the dynamics toward the chaotic
attractors. When the number of chaotic bands increases this hierarchical
structure with multiscale and discrete scale-invariant properties develops.
Also, we suggest that the occurrence of truncated q-gaussian-shaped
distributions for specially prescribed sums are t-Student distributions
premonitory of the gaussian limit distribution.