title:
Magnetothermoelectric effects in graphene and their dependence on
  scatterer concentration, magnetic field and band gap

abstract:
  Using a semiclassical Boltzmann transport equation (BTE) approach, we derive
analytical expressions for electric and thermoelectric transport coefficients
of graphene in the presence and absence of a magnetic field. Scattering due to
acoustic phonons, charged impurities and vacancies are considered in the model.
Seebeck ($S_{xx}$) and Nernst ($N$) coefficients have been evaluated as
functions of carrier density, temperature, scatterer concentration, magnetic
field and induced band gap, and the results are compared with experimental
data. $S_{xx}$ is an odd function of Fermi energy while $N$ is an even
function, as observed in experiments. The peaks of both coefficients are found
to increase with decreasing scatterer concentration and increasing temperature.
Furthermore, opening a band gap decreases $N$ but increases $S_{xx}$. Applying
a magnetic field introduces an asymmetry in the variation of $S_{xx}$ with
Fermi energy across the Dirac point. The formalism is more accurate and
computationally efficient than the conventional Green's function approach used
to model transport coefficients and can be used to explore transport properties
of other exotic materials.


title: Light gauge boson in rare $K$ decay

abstract:
  We study the production of a light gauge boson in $K^- \to \pi^- X$ decay,
where the associated new charge current is not conserved. It is found that the
process can be generated by the tree-level $W$-boson annihilation and
loop-induced $s\to dX$. We find that it strongly depends on the $SU(3)$ limit
or the unique gauge coupling to the quarks, whether the decay amplitude of
$K^-\to \pi^- X$ in the $W$-boson annihilation is suppressed by $m^2_X
\epsilon_X \cdot p_K$; however, no such suppression is found via the
loop-induced $s\to d X$. The constraints on the relevant couplings are studied.


title: Weighted Fourier inequalities via rearrangements

abstract:
  The method of using rearrangements to give sufficient conditions for Fourier
inequalities between weighted Lebesgue spaces is revisited. New results in the
case q < p are established and a comparison between two known sufficient
conditions is completed. In addition, examples are given to show that a simple
weight condition that is sufficient for the weighted Fourier inequality in the
cases 2 < q < p and 1 < q < p < 2 is no longer sufficient in the case 1 < q < 2
< p, contrary to statements in Theorems 1 and 4 of, "Weighted Fourier
inequalities: new proofs and generalizations", J. Fourier Anal. Appl. 9 (2003),
1-37. Several alternatives are given for strengthening the simple weight
condition to ensure sufficiency in that case.


title:
Mapping the real space distributions of galaxies in SDSS DR7: I. Two
  Point Correlation Functions

abstract:
  Using a method to correct redshift space distortion (RSD) for individual
galaxies, we mapped the real space distributions of galaxies in the Sloan
Digital Sky Survey (SDSS) Data Release 7 (DR7). We use an ensemble of mock
catalogs to demonstrate the reliability of our method. Here as the first paper
in a series, we mainly focus on the two point correlation function (2PCF) of
galaxies. Overall the 2PCF measured in the reconstructed real space for
galaxies brighter than $^{0.1}{\rm M}_r-5\log h=-19.0$ agrees with the direct
measurement to an accuracy better than the measurement error due to cosmic
variance, if the reconstruction uses the correct cosmology. Applying the method
to the SDSS DR7, we construct a real space version of the main galaxy catalog,
which contains 396,068 galaxies in the North Galactic Cap with redshifts in the
range $0.01 \leq z \leq 0.12$. The Sloan Great Wall, the largest known
structure in the nearby Universe, is not as dominant an over-dense structure as
appears to be in redshift space. We measure the 2PCFs in reconstructed real
space for galaxies of different luminosities and colors. All of them show clear
deviations from single power-law forms, and reveal clear transitions from
1-halo to 2-halo terms. A comparison with the corresponding 2PCFs in redshift
space nicely demonstrates how RSDs boost the clustering power on large scales
(by about $40-50\%$ at scales $\sim 10 h^{-1}{\rm {Mpc}}$) and suppress it on
small scales (by about $70-80\%$ at a scale of $0.3 h^{-1}{\rm {Mpc}}$).


title:
Hausdorff Stability of the Round Two-Sphere Under Small Perturbations of
  the Entropy

abstract:
  We show that if a closed surface in $\mathbb{R}^3$ has entropy near to that
of the unit two-sphere, then the surface is close to a round two-sphere in the
Hausdorff distance.


title: Blankets Joint Posterior score for learning Markov network structures

abstract:
  Markov networks are extensively used to model complex sequential, spatial,
and relational interactions in a wide range of fields. By learning the
structure of independences of a domain, more accurate joint probability
distributions can be obtained for inference tasks or, more directly, for
interpreting the most significant relations among the variables. Recently,
several researchers have investigated techniques for automatically learning the
structure from data by obtaining the probabilistic maximum-a-posteriori
structure given the available data. However, all the approximations proposed
decompose the posterior of the whole structure into local sub-problems, by
assuming that the posteriors of the Markov blankets of all the variables are
mutually independent. In this work, we propose a scoring function for relaxing
such assumption. The Blankets Joint Posterior score computes the joint
posterior of structures as a joint distribution of the collection of its Markov
blankets. Essentially, the whole posterior is obtained by computing the
posterior of the blanket of each variable as a conditional distribution that
takes into account information from other blankets in the network. We show in
our experimental results that the proposed approximation can improve the sample
complexity of state-of-the-art scores when learning complex networks, where the
independence assumption between blanket variables is clearly incorrect.


title: Interdependency of Transmission and Distribution Pricing

abstract:
  Distribution markets are among the prospect being considered for the future
of power systems. They would facilitate integration of distributed energy
resources (DERs) and microgrids via a market mechanism and enable them to
monetize services they can provide. This paper follows the ongoing work in
implementing the distribution market operator (DMO) concept, and its clearing
and settlement procedures, and focuses on investigating the pricing conducted
by the DMO. The distribution locational marginal prices (D-LMPs) and their
relationship with the transmission system locational marginal prices (T-LMPs)
are subject of this paper. Numerical simulations on a test distribution system
exhibit the benefits and drawbacks of the proposed DMO pricing processes.


title: Anomalous Primes and the Elliptic Korselt Criterion

abstract:
  We explore the relationship between elliptic Korselt numbers of Type I, a
class of pseudoprimes introduced by Silverman in [20], and anomalous primes. We
generalize a result in [20] that gives sufficient conditions for an elliptic
Korselt number of Type I to be a product of anomalous primes. Finally, we prove
that almost all elliptic Korselt numbers of Type I of the form n=pq are a
product of anomalous primes


title: Discriminatively Trained Latent Ordinal Model for Video Classification

abstract:
  We study the problem of video classification for facial analysis and human
action recognition. We propose a novel weakly supervised learning method that
models the video as a sequence of automatically mined, discriminative
sub-events (eg. onset and offset phase for "smile", running and jumping for
"highjump"). The proposed model is inspired by the recent works on Multiple
Instance Learning and latent SVM/HCRF -- it extends such frameworks to model
the ordinal aspect in the videos, approximately. We obtain consistent
improvements over relevant competitive baselines on four challenging and
publicly available video based facial analysis datasets for prediction of
expression, clinical pain and intent in dyadic conversations and on three
challenging human action datasets. We also validate the method with qualitative
results and show that they largely support the intuitions behind the method.


title:
Chiellini integrability condition, planar isochronous systems and
  Hamiltonian structures of Li\'enard equation

abstract:
  Using a novel transformation involving the Jacobi Last Multiplier (JLM) we
derive an old integrability criterion due to Chiellini for the Li\'enard
equation. By combining the Chiellini condition for integrability and Jacobi's
Last Multiplier the Lagrangian and Hamiltonian of the Li\'enard equation is
derived. We also show that the Kukles equation is the only equation in the
Li\'enard family which satisfies both the Chiellini integrability and the
Sabatini criterion for isochronicity conditions. In addition we examine this
result by mapping the Li\'enard equation to a harmonic oscillator equation
using tacitly Chiellini's condition. Finally we provide a metriplectic and
complex Hamiltonian formulation of the Li\'enard equation through the use of
Chiellini condition for integrability.


title: Uniform Harbourne-Huneke Bounds via Flat Extensions

abstract:
  Over an arbitrary field $\mathbb{F}$, Harbourne conjectured that $$I^{(N
(r-1)+1)} \subseteq I^r$$ for all $r>0$ and all homogeneous ideals $I$ in $S =
\mathbb{F} [\mathbb{P}^N] = \mathbb{F} [x_0, \ldots, x_N]$. The conjecture has
been disproven for select values of $N \ge 2$: first by Dumnicki, Szemberg, and
Tutaj-Gasi\'{n}ska in characteristic zero, and then by Harbourne and Seceleanu
in odd positive characteristic. However, the ideal containments above do hold
when, for instance, $I$ is a monomial ideal in $S$.
  As a sequel to (arXiv:1510.02993), we present criteria for containments of
type $I^{(N (r-1)+1)} \subseteq I^r$ for all $r>0$ and certain classes of
ideals $I$ in a prodigious class of normal rings. Of particular interest is a
result for monomial primes in tensor products of affine semigroup rings.
Indeed, we explain how to give effective multipliers $N$ in several cases
including: the $D$-th Veronese subring of any polynomial ring $\mathbb{F} [x_1,
\ldots, x_n]$ $(n \ge 1)$; and the extension ring $\mathbb{F} [x_1, \ldots,
x_n, z]/(z^D - x_1 \cdots x_n)$ of $\mathbb{F}[x_1, \ldots, x_n]$.


title: Turbulence and Star Formation in a Sample of Spiral Galaxies

abstract:
  We investigate turbulent gas motions in spiral galaxies and their importance
to star formation in far outer disks, where the column density is typically far
below the critical value for spontaneous gravitational collapse. Following the
methods of Burkhart et al. (2010) on the Small Magellanic Cloud, we use the
third and fourth statistical moments, as indicators of structures caused by
turbulence, to examine the neutral hydrogen (HI) column density of a sample of
spiral galaxies selected from The HI Nearby Galaxy Survey (THINGS, Walter et
al. 2008). We apply the statistical moments in three different methods- the
galaxy as a whole, divided into a function of radii and then into grids. We
create individual grid maps of kurtosis for each galaxy. To investigate the
relation between these moments and star formation, we compare these maps with
their far-ultraviolet images taken by the Galaxy Evolution Explorer (GALEX)
satellite. We find that the moments are largely uniform across the galaxies, in
which the variation does not appear to trace any star forming regions. This
may, however, be due to the spatial resolution of our analysis, which could
potentially limit the scale of turbulent motions that we are sensitive to
greater than ~700 pc. From comparison between the moments themselves, we find
that the gas motions in our sampled galaxies are largely supersonic. This
analysis also shows that Burkhart et al. (2010)'s methods may be applied not
just to dwarf galaxies but also to normal spiral galaxies.


title: Brauer groups of torsors under algebraic tori

abstract:
  Let $T$ be an algebraic torus defined over a global field $K$. For any
$K$-torsor $X$ under $T$, we relate the Brauer group of $X$ to the ad\'{e}le
class group of $T$ as well as to the Shafarevich Tate group of $T$.


title:
Mixed-order phase transition in a two-step contagion model with single
  infectious seed

abstract:
  A hybrid phase transition (HPT) that exhibits properties of continuous and
discontinuous phase transitions at the same transition point has been observed
in diverse complex systems. Previous studies of the HPTs on complex networks
mainly focused on whether the order parameter is continuous or discontinuous.
However, more careful and fundamental questions on the critical behaviors of
the HPT such as how the divergences of the susceptibility and of the
correlation size are affected by the discontinuity of the order parameter have
been addressed. Here, we consider a generalized epidemic model that is known to
exhibit a discontinuous transition as a spinodal transition. Performing
extensive numerical simulations and using finite-size scaling analysis, we
examine diverging behaviors of the susceptibility and the correlation size. We
find that when there is one infectious node and under a certain condition, the
order parameter can exhibit a discontinuous jump but does not exhibit any
critical behavior before or after the jump. This feature differs from what we
observed in HPTs in the percolation pruning process. However, critical behavior
appears in the form of a power-law behavior of the outbreak size distribution.
The mean outbreak size, corresponding to the susceptibility, diverge following
the conventional percolation behavior. Thus a mixed-order transition occurs.
The hyperscaling relation does not hold.


title:
An analytic technique for the solutions of nonlinear oscillators with
  damping using the Abel Equation

abstract:
  Using the Chiellini condition for integrability we derive explicit solutions
for a generalized system of Riccati equations $\ddot{x}+\alpha
x^{2n+1}\dot{x}+x^{4n+3}=0$ by reduction to the first-order Abel equation
assuming the parameter $\alpha\ge 2\sqrt{2(n+1)}$. The technique, which was
proposed by Harko \textit{et al}, involves use of an auxiliary system of
first-order differential equations sharing a common solution with the Abel
equation. In the process analytical proofs of some of the conjectures made
earlier on the basis of numerical investigations in \cite{SJKB} is provided.


title: Analytical derivation of DC SQUID response

abstract:
  We consider voltage and current responses formation in DC SQUID with
overdamped Josephson junctions in resistive and superconducting state in the
frame of resistively shunted junction (RSJ) model. For simplicity we neglect
the junction capacitance and the noise effect. Explicit expressions for the
responses in resistive state were obtained for a SQUID which is symmetrical
with respect to bias current injection point. Normalized SQUID inductance $l =
2 e I_c L/\hbar$ (where $I_c$ is the critical current of Josephson junction,
$L$ is the SQUID inductance, $e$ is the electron charge and $\hbar$ is the
Planck constant) was assumed to be within the range $l \leq 1$, subsequently
expanded up to $l \approx 7$ using two fitting parameters. SQUID current
response in superconducting state was considered for arbitrary value of the
inductance. Impact of small technological spread of parameters relevant for
low-temperature superconductor (LTS) technology was studied with generalization
of the developed analytical approach for a case of small difference of critical
currents and shunt resistances of the Josephson junctions, and inequality of
SQUID inductive shoulders for both resistive and superconducting states.
Comparison with numerical calculation results shows that developed analytical
expressions can be used in practical LTS SQUIDs and SQUID-based circuits
design, e.g. large serial SQIF, drastically decreasing the time of simulation.


title:
Jury-Contestant Bipartite Competition Network: Identifying Biased Scores
  and Their Impact on Network Structure Inference

abstract:
  A common form of competition is one where judges grade contestants'
performances which are then compiled to determine the final ranking of the
contestants. Unlike in another common form of competition where two contestants
play a head-to-head match to produce a winner as in football or basketball, the
objectivity of judges are prone to be questioned, potentially undermining the
public's trust in the fairness of the competition. In this work we show, by
modeling the judge--contestant competition as a weighted bipartite network, how
we can identify biased scores and measure their impact on our inference of the
network structure. Analyzing the prestigious International Chopin Piano
Competition of 2015 with a well-publicized scoring controversy as an example,
we show that even a single statistically uncharacteristic score can be enough
to gravely distort our inference of the community structure, demonstrating the
importance of detecting and eliminating biases. In the process we also find
that there does not exist a significant system-wide bias of the judges based on
the the race of the contestants.


title: Deciding structural liveness of Petri nets

abstract:
  Place/transition Petri nets are a standard model for a class of distributed
systems whose reachability spaces might be infinite. One of well-studied topics
is the verification of safety and liveness properties in this model; despite
the extensive research effort, some basic problems remain open, which is
exemplified by the open complexity status of the reachability problem. The
liveness problems are known to be closely related to the reachability problem,
and many structural properties of nets that are related to liveness have been
studied. Somewhat surprisingly, the decidability status of the problem if a net
is structurally live, i.e. if there is an initial marking for which it is live,
has remained open, as also a recent paper (Best and Esparza, 2016) emphasizes.
Here we show that the structural liveness problem for Petri nets is decidable.
A crucial ingredient of the proof is the result by Leroux (LiCS 2013) showing
that we can compute a finite (Presburger) description of the reachability set
for a marked Petri net if this set is semilinear.


title: A Class of Sub-Hardy Hilbert Spaces Associated with Weighted Shifts

abstract:
  In this note we study sub-Hardy Hilbert spaces on which the the action of the
operator of multiplication by the coordinate function z is assumed to be weaker
than that of an isometry. We identify such operators with a class of weighted
shifts. The well known results of de Branges and Beurling are deduced as
corollaries .


title:
Anisotropy of the infrared-active phonon modes in the mono-domain state
  of tetragonal SrTiO3 (110)

abstract:
  With infrared and terahertz ellipsometry we investigated the anisotropy of
the infrared active phonon modes in SrTiO3 (110) single crystals in the
tetragonal state below the so-called antiferrodistortive transition at T* = 105
K. In particular, we show that the anisotropy of the oscillator strength of the
so-called R-mode, which becomes weakly infrared active below T*, is a valuable
indicator for the orientation of the structural domains. Our results reveal
that a mono-domain state with the tetragonal axis (c-axis) parallel to the
[001] direction can be created by applying a moderate uniaxial stress of about
2.3 MPa along the [1-10] direction (with a mechanical clamp). The resulting,
intrinsic splitting of the infrared-active phonon modes is reported.


title:
Low temperature Synchrotron X-ray diffraction studies on spin lattice
  coupling in Co3TeO6 and Co2.5Mn0.5TeO6

abstract:
  In the quest of understanding significant variations in the physical,
chemical and electronic properties of the novel functional materials, low
temperature Synchrotron X-ray Diffraction (LT-SXRD) measurements on CTO (a
type-II) and CMTO (a type-I) multiferroics are presented. Magnetic phase
diagram of CTO shows multiple magnetic transitions at zero fields, whereas, in
CMTO, 20 K enhancement in the antiferromagnetic transition temperature is
observed followed by near room temperature Griffiths phase. Rietveld analysis
on LT-SXRD data of both the samples indicates important observations. For both
CTO and CMTO, the magnetic anomalies are followed by structural anomalies,
which is a clear signature of spin lattice coupling and the positive shift of
spin lattice coupling from CTO to CMTO.


title: The muon g-2: retrospective and future

abstract:
  Soon, new experiments at FNAL and J-PARC will measure the muon anomalous
magnetic moments with better accuracy than before. From theoretical side, the
uncertainty of the standard model prediction is dominated by the hadronic
contributions. Current status of the experimental data and theoretical
calculations are briefly discussed.


title: Threshold Colorings of Prisms and the Petersen Graph

abstract:
  Let $G$ be a graph, $r \geq t$ integers, and $N \subseteq E(G)$. An
$(r,t)$-threshold-coloring of $G$ with respect to $N$ is a mapping $c: V(G)
\rightarrow \{0,\ldots,r-1\}$ such that $|c(u)-c(v)| \leq t$ for every $uv \in
N$ and $|c(u)-c(v)|>t$ for every $uv \in E(G) \setminus N$. A graph is total
threshold colorable if there exist integers $r,t$ such that for every $N
\subseteq E(G)$, $G$ admits an $(r,t)$-threshold-coloring with respect to $N$.
We show that every prism is total threshold colorable, and that the Petersen
graph is total threshold colorable. In contrast to this fact we show that
Moebius ladders are not total threshold colorable, from which it follows that
there is no characterization of being total threshold colorable in terms of a
finite set of forbidden subgraphs.


title:
Prioritizing covariates in the planning of future studies in the
  meta-analytic framework

abstract:
  Science can be seen as a sequential process where each new study augments
evidence to the existing knowledge. To have the best prospects to make an
impact in this process, a new study should be designed optimally taking into
account the previous studies and other prior information. We propose a formal
approach for the covariate prioritization, i.e., the decision about the
covariates to be measured in a new study. The decision criteria can be based on
conditional power, change of the p-value, change in lower confidence limit,
Kullback-Leibler divergence, Bayes factors, Bayesian false discovery rate or
difference between prior and posterior expectation. The criteria can be also
used for decisions on the sample size. As an illustration, we consider
covariate prioritization based on genome-wide association studies for
C-reactive protein levels and make suggestions on the genes to be studied
further.
  keywords: design; evidence-based medicine; meta-analysis; power; scientific
method


title: Choquet order and hyperrigidity for function systems

abstract:
  We establish a dilation-theoretic characterization of the Choquet order on
the space of measures on a compact convex set using ideas from the theory of
operator algebras. This yields an extension of Cartier's dilation theorem to
the non-separable setting, as well as a non-separable version of
\v{S}a\v{s}kin's theorem from approximation theory. We show that a slight
variant of this order characterizes the representations of a commutative
C*-algebra that have the unique extension property relative to a set of
generators. This reduces the commutative case of Arveson's hyperrigidity
conjecture to the question of whether measures that are maximal with respect to
the classical Choquet order are also maximal with respect to this new order. An
example shows that these orders are not the same in general.


title:
Exploring contributions from incomplete fusion in $^{6,7}$Li+$^{209}$Bi
  and $^{6,7}$Li+$^{198}$Pt reactions

abstract:
  We use the breakup absorption model to simultaneously describe the measured
cross-sections of the Complete fusion (CF), Incomplete fusion (ICF), and Total
fusion (TF) in nuclear reactions induced by weakly bound nuclei $^{6,7}$Li on
$^{209}$Bi and $^{198}$Pt targets. The absorption cross-sections are calculated
using the Continuum Discretized Coupled Channels (CDCC) method with different
choices of short range imaginary potentials to get the ICF, CF and TF
cross-sections. It is observed that the cross-sections for
deuteron-ICF/deuteron-capture are of similar magnitude as the
$\alpha$-ICF/$\alpha$-capture, in case of $^{6}$Li projectile, while the
cross-sections for triton-ICF/triton-capture is more dominant than
$\alpha$-ICF/$\alpha$-capture in case of $^{7}$Li projectile. Both these
observations are also corroborated by the experimental data. The ratio of ICF
to TF cross-sections, which defines the value of fusion suppression factor is
found to be in agreement with the data available from the literature. The
cross-section ratio of CF/TF and ICF/TF show opposite behavior, the former
decreases while the latter increases as the energy is lowered, which shows the
dominance of ICF at below barrier energies. We have also studied the
correlation of the ICF cross-sections with the non-capture breakup (NCBU)
cross-sections as a function of energy, which shows that the NCBU is more
significant than ICF at below barrier energies.


title:
The Vlasov-Poisson equation in $\mathbb{R}^3$ with infinite charge and
  velocities

abstract:
  We consider the Vlasov-Poisson equation in $\mathbb{R}^3$ with initial data
which are not $L^1$ in space and have unbounded support in the velocities.
Assuming for the density a slight decay in space and a strong decay in
velocities, we prove existence and uniqueness of the solution, thus
generalizing the analogous result given in [5] for data compactly supported in
the velocities.


title:
Large-Scale Cloud Radio Access Networks with Practical Constraints:
  Asymptotic Analysis and Its Implications

abstract:
  Large-scale cloud radio access network (LS-CRAN) is a highly promising
next-generation cellular network architecture whereby lots of base stations
(BSs) equipped with a massive antenna array are connected to a cloud-computing
based central processor unit via digital front/backhaul links. This paper
studies an asymptotic behavior of downlink (DL) performance of a LS-CRAN with
three practical constraints: 1) limited transmit power, 2) limited
front/backhaul capacity, and 3) limited pilot resource. As an asymptotic
performance measure, the scaling exponent of the
signal-to-interference-plus-noise-ratio (SINR) is derived for interference-free
(IF), maximum-ratio transmission (MRT), and zero-forcing (ZF) operations. Our
asymptotic analysis reveals four fundamental operating regimes and the
performances of both MRT and ZF operations are fundamentally limited by the UL
transmit power for estimating user's channel state information, not the DL
transmit power. We obtain the conditions that MRT or ZF operation becomes
interference-free, i.e., order-optimal with three practical constraints.
Specifically, as higher UL transmit power is provided, more users can be
associated and the data rate per user can be increased simultaneously while
keeping the order-optimality as long as the total front/backhaul overhead is
$\Omega(N^{\eta_{\rm{bs}}+\eta_{\rm{ant}}+\eta_{\rm{user}}+\frac{2}{\alpha}\rho^{\rm{ul}}})$
and $\Omega(N^{\eta_{\rm{user}}-\eta_{\rm{bs}}})$ pilot resources are
available. It is also shown that how the target quality-of-service (QoS) in
terms of SINR and the number of users satisfying the target QoS can
simultaneously grow as the network size increases and the way how the network
size increases under the practical constraints, which can provide meaningful
insights for future cellular systems.


title:
A new truncation scheme for BBGKY hierarchy: conservation of energy and
  time reversibility

abstract:
  We propose a new truncation scheme for Bogoliubov-Born-Green-Kirkwood-Yvon
(BBGKY) hierarchy. We approximate the three particle distribution function
$f_{3}(1,2,3,t)$ in terms of $f_{2}(1,2,t)$, $f_{1}(3,t)$ and two point
correlation functions $\left\lbrace g_{2}(1,3,t), g_{2}(2,3,t)\right\rbrace $.
Further $f_{2}$ is expressed in terms of $f_{1}(1,t)$ and $g_{2}(1,2,t)$ to
close the hierarchy, resulting a set of coupled kinetic equations for $f_{1}$
and $g_{2}$. In this paper we show that, for velocity independent correlations,
the kinetic equation for $f_{1}$ reduces to the model proposed by Martys[Martys
N S 1999 \textit{IJMPC} \textbf{10} 1367-1382]. In the steady state limit, the
kinetic equation for $g_{2}$ reduces to Born-Green-Yvon (BGY) hierarchy for
homogeneous density. We also prove that the present scheme respects the energy
conservation and under specific circumstances, time symmetry \textit{i.e.,}
$\displaystyle \frac{dH(t)}{dt} = 0$ where $H(t)$ refers to the Boltzmann's
H-function.


title: SELint: an SEAndroid policy analysis tool

abstract:
  SEAndroid enforcement is now mandatory for Android devices. In order to
provide the desired level of security for their products, Android OEMs need to
be able to minimize their mistakes in writing SEAndroid policies. However,
existing SEAndroid and SELinux tools are not very useful for this purpose. It
has been shown that SEAndroid policies found in commercially available devices
for multiple manufacturers contain mistakes and redundancies. In this paper we
present a new tool, SELint, which aims to help OEMs to produce better SEAndroid
policies. SELint is extensible and configurable to suit the needs of different
OEMs. It is provided with a default configuration based on the AOSP SEAndroid
policy, but can be customized by OEMs.


title:
Bethe-Salpeter wave functions of $\eta_c(2S)$ and $\psi(2S)$ states from
  full lattice QCD

abstract:
  We discuss the internal structure of radially excited charmonium mesons based
on the equal-time and Coulomb gauge Bethe-Salpeter (BS) amplitudes, which are
obtained in lattice QCD. Our simulations are performed with a relativistic
heavy-quark action for the charm quark on the 2+1 flavor PACS-CS gauge
configurations at the lightest pion mass, $M_{\pi}=156(7)$ MeV. The variational
method is applied to the study of optimal charmonium operator for ground and
first excited states of $S$-wave charmonia. We successfully calculate the BS
wave functions of $\eta_c(2S)$ and $\psi(2S)$ states, as well as $\eta_c(1S)$
and $J/\psi$ states, and then estimate the root-mean-square radii of both the
$1S$ and $2S$ charmonium states. We also examine whether a series of the BS
wave functions from the ground state to excited states can be described by a
single set of the spin-independent and spin-dependent interquark potentials
with a unique quark mass. It is found that the quark kinetic mass and, both the
central and spin-spin charmonium potentials, determined from the $2S$ wave
functions, fairly agree with the ones from the $1S$ wave functions. This
strongly supports the validity of the potential description for the charmonium
system, at least, below open-charm threshold.


title: Towards Representation Learning with Tractable Probabilistic Models

abstract:
  Probabilistic models learned as density estimators can be exploited in
representation learning beside being toolboxes used to answer inference queries
only. However, how to extract useful representations highly depends on the
particular model involved. We argue that tractable inference, i.e. inference
that can be computed in polynomial time, can enable general schemes to extract
features from black box models. We plan to investigate how Tractable
Probabilistic Models (TPMs) can be exploited to generate embeddings by random
query evaluations. We devise two experimental designs to assess and compare
different TPMs as feature extractors in an unsupervised representation learning
framework. We show some experimental results on standard image datasets by
applying such a method to Sum-Product Networks and Mixture of Trees as
tractable models generating embeddings.


title: Recent Progress on Definability of Henselian Valuations

abstract:
  Although the study of the definability of henselian valuations has a long
history starting with J. Robinson, most of the results in this area were proven
during the last few years. We survey these results which address the
definability of concrete henselian valuations, the existence of definable
henselian valuations on a given field, and questions of uniformity and
quantifier complexity.


title: Dimension reduction for the full Navier-Stokes-Fourier system

abstract:
  It is well known that the full Navier-Stokes-Fourier system does not possess
a strong solution in three dimensions which causes problems in applications.
However, when modeling the flow of a fluid in a thin long pipe, the influence
of the cross section can be neglected and the flow is basically
one-dimensional. This allows us to deal with strong solutions which are more
convenient for numerical computations. The goal of this paper is to provide a
rigorous justification of this approach. Namely, we prove that any suitable
weak solution to the three-dimensional NSF system tends to a strong solution to
the one-dimensional system as the thickness of the pipe tends to zero.


title:
Measurement of the inclusive $B\to X_{s+d} \gamma$ branching fraction,
  photon energy spectrum and HQE parameters

abstract:
  We report a measurement of the inclusive $B\to X_{s+d} \gamma$ and $B\to
X_{s} \gamma$ branching fractions using a data set of $(772 \pm 11)\times 10^6$
$B\bar{B}$ pairs collected at the $\Upsilon(4S)$ resonance with the Belle
detector at the KEKB asymmetric-energy $e^+e^-$ collider. Results are presented
for photon energy thresholds between 1.7 to 2.0 GeV. For the 1.8 GeV threshold
we find $\mathcal{B}_{s\gamma} = (3.01 \pm 0.10~\text{(stat)} \pm
0.18~\text{(syst)} \pm 0.08~\text{(model)})\times 10^{-4}$. The Heavy Quark
Expansion parameters that best fit the spectrum in the shape-function scheme
are $m_{b} = (4.626 \pm 0.028) \text{GeV}$ and $ \mu_{\pi}^{2} = (0.301\pm
0.063) \text{GeV}^2$.


title: Scientific Goals of the Kunlun Infrared Sky Survey (KISS)

abstract:
  The high Antarctic plateau provides exceptional conditions for conducting
infrared observations of the cosmos on account of the cold, dry and stable
atmosphere above the ice surface. This paper describes the scientific goals
behind the first program to examine the time-varying universe in the infrared
from Antarctica - the Kunlun Infrared Sky Survey (KISS). This will employ a
small (50 cm aperture) telescope to monitor the southern skies in the 2.4um
Kdark window from China's Kunlun station at Dome A, on the summit of the
Antarctic plateau, through the uninterrupted 4-month period of winter darkness.
An earlier paper discussed optimisation of the Kdark filter for the best
sensitivity (Li et al 2016). This paper examines the scientific program for
KISS. We calculate the sensitivity of the camera for the extrema of observing
conditions that will be encountered. We present the parameters for sample
surveys that could then be carried out for a range of cadences and
sensitivities. We then discuss several science programs that could be conducted
with these capabilities, involving star formation, brown dwarfs and hot
Jupiters, exoplanets around M dwarfs, the terminal phases of stellar evolution,
discovering fast transients as part of multi-wavelength campaigns, embedded
supernova searches, reverberation mapping of active galactic nuclei, gamma ray
bursts and the detection of the cosmic infrared background.
  Accepted for publication in PASA, 04/08/16.


title:
Broad-band spectrophotometry of HAT-P-32 b: Search for a scattering
  signature in the planetary spectrum

abstract:
  Multi-colour broad-band transit observations offer the opportunity to
characterise the atmosphere of an extrasolar planet with small- to medium-sized
telescopes. One of the most favourable targets is the hot Jupiter HAT-P-32 b.
We combined 21 new transit observations of this planet with 36 previously
published light curves for a homogeneous analysis of the broad-band
transmission spectrum from the Sloan u' band to the Sloan z' band. Our results
rule out cloud-free planetary atmosphere models of solar metallicity.
Furthermore, a discrepancy at reddest wavelengths to previously published
results makes a recent tentative detection of a scattering feature less likely.
Instead, the available spectral measurements of HAT-P-32 b favour a completely
flat spectrum from the near-UV to the near-IR. A plausible interpretation is a
thick cloud cover at high altitudes.


title: Superconducting single X-ray photon detector based on W0.8Si0.2

abstract:
  We fabricated a superconducting single X-ray photon detector based on
W0.8Si0.2, and we characterized its basic detection performance for keV-photons
at different temperatures. The detector has a critical temperature of 4.97 K,
and it is able to be operated up to 4.8 K, just below the critical temperature.
The detector starts to react to X-ray photons at relatively low bias currents,
less than 1% of Ic at T = 1.8 K, and it shows a saturated count rate dependence
on bias current at all temperatures, indicating that the optimum internal
quantum efficiency can always be reached. Dark counts are negligible up to the
highest investigated bias currents (99% of Ic) and operating temperature (4.8
K). The latching effect affects the detector performance at all temperatures
due to the fast recovery of the bias current; however, further modifications of
the device geometry are expected to reduce the tendency for latching.


title:
Hamiltonian systems and Sturm-Liouville equations: Darboux
  transformation and applications

abstract:
  We introduce GBDT version of Darboux transformation for symplectic and
Hamiltonian systems as well as for Shin-Zettl systems and Sturm-Liouville
equations. These are the first results on Darboux transformation for
general-type Hamiltonian and for Shin-Zettl systems. The obtained results are
applied to the corresponding transformations of the Weyl-Titchmarsh functions
and to the construction of explicit solutions of dynamical symplectic systems,
of two-way diffusion equations and of indefinite Sturm-Liouville equations. The
energy of the explicit solutions of dynamical systems is expressed (in a quite
simple form) in terms of the parameter matrices of GBDT.


title: Computational study of atomic mobility in HCP Mg-Al-Zn ternary alloys

abstract:
  The experimental data in the literature for the hcp phase of the Mg-Al-Zn
ternary system have been critically reviewed. Based on the concentration
profiles from the literature, the diffusion coefficients have been re-extracted
using the Hall method for the impurity diffusion, and the Sauer-Freise and the
Whittle-Green strategies for interdiffusion coefficients in binary and ternary
systems, respectively. Moreover, extra interdiffusion coefficients were
obtained from the Darken-type couples, which present relative maxima or/and
minima at the concentration profiles. This information was assessed to obtain
an atomic mobility database, by means of DICTRA software in conjunction with
the CALPHAD thermodynamic description that is able to reproduce the diffusion
couple experiments. Comprehensive comparisons between the calculated results
and experimental values show an excellent agreement not only for the diffusion
coefficient data, but also for the concentration profiles and the diffusion
paths.


title:
An overview of the mid-infrared spectro-interferometer MATISSE: science,
  concept, and current status

abstract:
  MATISSE is the second-generation mid-infrared spectrograph and imager for the
Very Large Telescope Interferometer (VLTI) at Paranal. This new interferometric
instrument will allow significant advances by opening new avenues in various
fundamental research fields: studying the planet-forming region of disks around
young stellar objects, understanding the surface structures and mass loss
phenomena affecting evolved stars, and probing the environments of black holes
in active galactic nuclei. As a first breakthrough, MATISSE will enlarge the
spectral domain of current optical interferometers by offering the L and M
bands in addition to the N band. This will open a wide wavelength domain,
ranging from 2.8 to 13 um, exploring angular scales as small as 3 mas (L band)
/ 10 mas (N band). As a second breakthrough, MATISSE will allow mid-infrared
imaging - closure-phase aperture-synthesis imaging - with up to four Unit
Telescopes (UT) or Auxiliary Telescopes (AT) of the VLTI. Moreover, MATISSE
will offer a spectral resolution range from R ~ 30 to R ~ 5000. Here, we
present one of the main science objectives, the study of protoplanetary disks,
that has driven the instrument design and motivated several VLTI upgrades
(GRA4MAT and NAOMI). We introduce the physical concept of MATISSE including a
description of the signal on the detectors and an evaluation of the expected
performances. We also discuss the current status of the MATISSE instrument,
which is entering its testing phase, and the foreseen schedule for the next two
years that will lead to the first light at Paranal.


title: MATISSE: specifications and expected performances

abstract:
  MATISSE (Multi AperTure mid-Infrared SpectroScopic Experiment) is the next
generation spectro-interferometer at the European Southern Observatory VLTI
operating in the spectral bands L, M and N, and combining four beams from the
unit and auxiliary telescopes. MATISSE is now fully integrated at the
Observatoire de la C\^ote d'Azur in Nice (France), and has entered very
recently its testing phase in laboratory. This paper summarizes the equations
describing the MATISSE signal and the associated sources of noise. The
specifications and the expected performances of the instrument are then
evaluated taking into account the current characteristics of the instrument and
the VLTI infrastructure, including transmission and contrast degradation
budgets. In addition, we present the different MATISSE simulation tools that
will be made available to the future users.


title:
Inhomogeneous Hopf-Ole\u{i}nik Lemma and Applications. Part IV: Sharp
  Krylov Boundary Gradient Type Estimates for Solutions to Fully Nonlinear
  Differential Inequalities with unbounded coefficients and $C^{1,Dini}$
  boundary data

abstract:
  In this paper we provide another application of the Inhomogeneous
Hopf-Ole\u{\i}nik Lemma (IHOL) proved in \cite{BM-IHOL-PartI} or
\cite{Boyan-2}. As a matter of fact, we also provide a new and simpler proof of
a slightly weaker version IHOL for the uniformly elliptic fully nonlinear case
which is sufficient for most purposes. The paper has essentially two parts. In
the first part, we use IHOL for unbounded RHS to develop a Caffarelli's
"Lipschitz implies $C^{1,\alpha}$" approach to prove Ladyzhenskaya-Uraltseva
boundary gradient type estimates for functions in $S^{*}(\gamma, f)$ that
vanishes on the boundary. Here, unbounded RHS means that $f\in L^{q}$ with
$q>n$. This extends the celebrated Krylov's boundary gradient estimate proved
in \cite{Krylov}. A Phragm\'en-Lindel\"of classification result for solutions
in half spaces is recovered from these estimates. Moreover, a H\"older estimate
up to the boundary (in the half-ball) for $u(x)/x_{n}$ is obtained. In the
second part, we extend the previous results for functions in $S^{*}(\gamma,
\sigma, f)$ where $\gamma,f\in L^{q}$ with $q>n$ that have a $C^{1,Dini}$
boundary data on a $W^{2,q}$ domain. Here, we use an "improvement of flatness"
strategy suited to the unbounded coefficients scenario. As a consequence of
that, a quantitative version of IHOL under pointwise $C^{1,Dini}$ boundary
regularity is obtained.


title:
On the Multi-Reference Nature of Plutonium Oxides: PuO$_2^{2+}$,
  PuO$_2$, PuO$_3$ and PuO$_2$(OH)$_2$

abstract:
  Actinide-containing complexes present formidable challenges for electronic
structure methods due to the large number of degenerate or quasi-degenerate
electronic states arising from partially occupied 5f and 6d shells.
Conventional multi-reference methods can treat active spaces that are often at
the upper limit of what is required for a proper treatment of species with
complex electronic structures, leaving no room for verifying their suitability.
In this work we address the issue of properly defining the active spaces in
such calculations, and introduce a protocol to determine optimal active spaces
based on the use of the Density Matrix Renormalization Group algorithm and
concepts of quantum information theory. We apply the protocol to elucidate the
electronic structure and bonding mechanism of volatile plutonium oxides
(PuO$_3$ and PuO$_2$(OH)$_2$), species associated with nuclear safety issues
for which little is known about the electronic structure and energetics. We
show how, within a scalar relativistic framework, orbital-pair correlations can
be used to guide the definition of optimal active spaces which provide an
accurate description of static/non-dynamic electron correlation, as well as to
analyse the chemical bonding beyond a simple orbital model. From this bonding
analysis we are able to show that the addition of oxo- or hydroxo-groups to the
plutonium dioxide species considerably changes the pi-bonding mechanism with
respect to the bare triatomics, resulting in bent structures with considerable
multi-reference character.


title:
The cross-correlation measure of families of finite binary sequences:
  limiting distributions and minimal values

abstract:
  Gyarmati, Mauduit and S\'ark\"ozy introduced the cross-correlation measure
$\Phi_k(G)$ of order $k$ to measure the level of pseudorandom properties of
families of finite binary sequences. In an earlier paper we estimated the
cross-correlation measure of a random family of binary sequences. In this
paper, we sharpen these earlier results by showing that for random families,
the cross-correlation measure converges strongly, and so has limiting
distribution. We also give sharp bounds to the minimum values of the
cross-correlation measure, which settles a problem of Gyarmati, Mauduit and
S\'ark\"ozy nearly completely.


title: Finite Length Weight Enumerator Analysis of Braided Convolutional Codes

abstract:
  Braided convolutional codes (BCCs) are a class of spatially coupled
turbo-like codes (SC-TCs) with excellent belief propagation (BP) thresholds. In
this paper, we analyze the performance of BCCs in the finite block-length
regime. We derive the average weight enumerator function (WEF) and compute the
union bound on the performance for the uncoupled BCC ensemble. Our results
suggest that the union bound is affected by poor distance properties of a small
fraction of codes. By computing the union bound for the expurgated ensemble, we
show that the floor improves substantially and very low error rates can be
achieved for moderate permutation sizes. Based on the WEF, we also obtain a
bound on the minimum distance which indicates that it grows linearly with the
permutation size. Finally, we show that the estimated error floor for the
uncoupled BCC ensemble is also valid for the coupled ensemble by proving that
the minimum distance of the coupled ensemble is lower bounded by the minimum
distance of the uncoupled ensemble.


title: Effect of valence fluctuations on the ground state properties of SmB6

abstract:
  We argue that because of valence-fluctuation caused dynamical changes
(fluctuations) of impurity energies in the impurity band of SmB6, energies of
electrons occupying impurity sites can be due to the uncertainty principle only
estimated with corresponding uncertainty, so they can be represented by energy
intervals of non-zero width. As a conse- quence, both occupied as well as
unoccupied states can be found in the impurity band above as well as below
Fermi level even in the ground state. Therefore the subsystem of localized
charge carriers in the ground state of SmB6 cannot be described by an energy
distribution function expected for T = 0 K. This fundamental conclusion adds
another reason for absence of resistivity divergence in SmB6 at lowest
temperatures, and sheds new light on interpretation of experimental data
obtained for SmB6 and similar systems at lowest temperatures.


title: The Zero Locus of the $F$-triangle

abstract:
  We are interested in the zero locus of a Chapoton's $F$-triangle as a
polynomial in two real variables $x$ and $y$. An expectation is that (1) the
$F$-triangle of rank $l$ as a polynomial in $x$ for each fixed $y\in[0,1]$, has
exactly $l$ distinct real roots in $[0,1]$, and (2) $i$-th root $x_i(y)$ ($1
\le i \le l$) as a function on $y \in [0,1]$ is monotone decreasing. In order
to understand these phenomena, we slightly generalized the concept of
$F$-triangles and study the problem on the space of such generalized triangles.
We analyze the case of low rank in details and show that the above expectation
is true. We formulate inductive conjectures and questions for further rank
cases. This study gives a new insight on the zero loci of $f^+$- and
$f$-polynomials.


title: Dynamics of neutrino lumps in growing neutrino quintessence

abstract:
  We investigate the formation and dissipation of large scale neutrino
structures in cosmologies where the time evolution of dynamical dark energy is
stopped by a growing neutrino mass. In models where the coupling between
neutrinos and dark energy grows with the value of the scalar cosmon field, the
evolution of neutrino lumps depends on the neutrino mass. For small masses the
lumps form and dissolve periodically, leaving only a small backreaction of the
neutrino structures on the cosmic evolution. This process heats the neutrinos
to temperatures much above the photon temperature such that neutrinos acquire
again an almost relativistic equation of state. The present equation of state
of the combined cosmon-neutrino fluid is very close to -1. In contrast, for
larger neutrino masses the lumps become stable. The highly concentrated
neutrino structures entail a large backreaction similar to the case of a
constant neutrino-cosmon coupling. A present average neutrino mass of around
0.5 eV seems so far compatible with observation. For masses lower than this
value, neutrino induced gravitational potentials remain small, making the lumps
difficult to detect.


title: Inverse Scattering and Locality in Integrable Quantum Field Theories

abstract:
  We present a solution method for the inverse scattering problem for
integrable two-dimensional relativistic quantum field theories, specified in
terms of a given massive single particle spectrum and a factorizing S-matrix.
An arbitrary number of massive particles transforming under an arbitrary
compact global gauge group is allowed, thereby generalizing previous
constructions of scalar theories. The two-particle S-matrix $S$ is assumed to
be an analytic solution of the Yang-Baxter equation with standard properties,
including unitarity, TCP invariance, and crossing symmetry. Using methods from
operator algebras and complex analysis, we identify sufficient criteria on $S$
that imply the solution of the inverse scattering problem. These conditions are
shown to be satisfied in particular by so-called diagonal S-matrices, but
presumably also in other cases such as the $O(N)$-invariant nonlinear
$\sigma$-models.


title: Suppression of magnetism under pressure in FeS: a LDA+DMFT study

abstract:
  We show that evolution of magnetic properties in FeS under pressure cannot be
explained only in terms of a spin state transition. While uniform compression
does show substantial suppression of the local magnetic moment and increase of
the weights of configurations with low spin, analysis of the local spin-spin
correlation function demonstrates increase of the spin itinerancy. This is
related to a strong modification of the electronic structure under pressure: in
the high-pressure phase FeS is in the Fermi-liquid state, while decrease of the
pressure moves the system to an orbital-selective regime.


title:
Topological surface states on Bi(111) based on empirical tight-binding
  calculations

abstract:
  The topological order of single-crystal Bi and its surface states on the
(111) surface are studied in detail based on empirical tight-binding (TB)
calculations. New TB parameters are presented that are used to calculate the
surface states of semi-infinite single-crystal Bi(111), which agree with the
experimental angle-resolved photoelectron spectroscopy results. The influence
of the crystal lattice distortion is surveyed and a topological phase
transition is found that is driven by in-plane expansion. In contrast with the
semi-infinite system, the surface-state dispersions on finite-thickness slabs
are non-trivial irrespective of the bulk topological order. The role of the
interaction between the top and bottom surfaces in the slab is systematically
studied, and it is revealed that a very thick slab is required to properly
obtain the bulk topological order of Bi from the (111) surface state: above 150
biatomic layers in this case.


title: A Natural origin for the LHCb anomalies

abstract:
  The anomalies recently found by the LHCb collaboration in $B$-meson decays
seem to point towards the existence of new physics coupled non-universally to
muons and electrons. We show that a beyond-the-Standard-Model dynamics with
these features naturally arises in models with a warped extra-dimension that
aim to solve the electroweak Hierarchy Problem. The attractiveness of our
set-up is the fact that the dynamics responsible for generating the flavor
anomalies is automatically present, being provided by the massive Kaluza--Klein
excitations of the electroweak gauge bosons. The flavor anomalies can be easily
reproduced by assuming that the bottom and muon fields have a sizable amount of
compositeness, while the electron is almost elementary. Interestingly enough,
this framework correlates the flavor anomalies to a pattern of corrections in
the electroweak observables and in flavor-changing processes. In particular the
deviations in the bottom and muon couplings to the $Z$-boson and in $\Delta F =
2$ flavor-changing observables are predicted to be close to the present
experimental bounds, and thus potentially testable in near-future experiments.


title: A full-vortex flux qubit for charged particle optics

abstract:
  We introduce a design of a superconducting flux qubit capable of holding a
full magnetic flux quantum $\phi_{0}$, which arguably is an essential property
for applications in charged particle optics. The qubit comprises a row of $N$
constituent qubits, which hold a fractional magnetic flux quantum $\phi_{0}/N$.
Insights from physics of the transverse-field Ising chain reveal that properly
designed interaction between these constituent qubits enables their collective
behavior while also maintaining the overall quantumness.


title:
Mapping mobility patterns to public spaces in a medium-sized city using
  geolocated tweets

abstract:
  This research evidences the usefulness of open big data to map mobility
patterns in a medium-sized city. Motivated by the novel analysis that big data
allow worldwide and in large metropolitan areas, we developed a methodology
aiming to complement origin-destination surveys with \`a la carte spatial
boundaries and updated data at a minimum cost. This paper validates the use of
Twitter data to map the impact of public spaces on the different parts of the
metropolitan area of Concepci\'on, Chile. Results have been validated by local
experts and evidence the main mobility patterns towards spaces of social
interaction like malls, leisure areas, parks and so on. The map represents the
mobility patterns from census districts to different categories of public
spaces with schematic lines at the metropolitan scale and it is centred in the
city of Concepci\'on (Chile) and its surroundings (~10 kilometres).


title:
Allocation of risk capital in a cost cooperative game induced by a
  modified Expected Shortfall

abstract:
  The standard theory of coherent risk measures fails to consider individual
institutions as part of a system which might itself experience instability and
spread new sources of risk to the market participants. In compliance with an
approach adopted by Shapley and Shubik (1969), this paper proposes a
cooperative market game where agents and institutions play the same role can be
developed. We take into account a multiple institutions framework where some of
them jointly experience distress events in order to evaluate their individual
and collective impact on the remaining institutions in the market. To carry out
this analysis, we define a new risk measure (SCoES), generalising the Expected
Shortfall of Acerbi (2002) and we characterise the riskiness profile as the
outcome of a cost cooperative game played by institutions in distress (a
similar approach was adopted by Denault 2001). Each institution's marginal
contribution to the spread of riskiness towards the safe institutions in then
evaluated by calculating suitable solution concepts of the game such as the
Banzhaf--Coleman and the Shapley--Shubik values.


title: Noether theorems and quantum anomalies

abstract:
  In this communication, we show that both infinite-dimensional versions of
Noether's theorems, and the explanation of quantum anomalies can be obtained
using similar formulas for the derivatives of functions whose values are
measures (Smolyanov and von Weizsaecker, 1995) or pseudomeasures (Gough, Ratiu
and Smolyanov, 2015). In particular, we improve son these results.


title:
Learning Joint Representations of Videos and Sentences with Web Image
  Search

abstract:
  Our objective is video retrieval based on natural language queries. In
addition, we consider the analogous problem of retrieving sentences or
generating descriptions given an input video. Recent work has addressed the
problem by embedding visual and textual inputs into a common space where
semantic similarities correlate to distances. We also adopt the embedding
approach, and make the following contributions: First, we utilize web image
search in sentence embedding process to disambiguate fine-grained visual
concepts. Second, we propose embedding models for sentence, image, and video
inputs whose parameters are learned simultaneously. Finally, we show how the
proposed model can be applied to description generation. Overall, we observe a
clear improvement over the state-of-the-art methods in the video and sentence
retrieval tasks. In description generation, the performance level is comparable
to the current state-of-the-art, although our embeddings were trained for the
retrieval tasks.


title:
Neumann boundary feedback stabilization for a nonlinear wave equation: A
  strict $H^2$-Lyapunov function

abstract:
  For a system that is governed by the isothermal Euler equations with friction
for ideal gas, the corresponding field of characteristic curves is determined
by the velocity of the flow. This velocity is determined by a second-order
quasilinear hyperbolic equation. For the corresponding initial-boundary value
problem with Neumann-boundary feedback, we consider non-stationary solutions
locally around a stationary state on a finite time interval and discuss the
well-posedness of this kind of problem. We introduce a strict $H^2$-Lyapunov
function and show that the boundary feedback constant can be chosen such that
the $H^2$-Lyapunov function and hence also the $H^2$-norm of the difference
between the non-stationary and the stationary state decays exponentially with
time.


title:
Magnetic-Field-Induced Change of Magneto-Electric Coupling in the in
  Molecular Multiferroic (ND4)2[FeCl5(D2O)]

abstract:
  Our results describe an unprecedented example of change in the mechanism of
magnetically-induced electric polarization from spin current to spin-dependent
p-d hybridization model. We have followed the evolution of the magnetic
structures of (ND4)2[FeCl5 D2O] compound using single crystal neutron
diffraction under external magnetic field. The spin arrangements change from
incommensurate cycloidal to commensurate distorted-cycloidal and finally to
quasi-collinear. The determination of the magnetic structures allows us to
explain the observed electric polarization in the different ferroelectric
phases. Two different magneto-electric coupling mechanisms are at play: the
spin-current mechanism for external magnetic field below 5 T, and the spin
dependent p-d hybridization mechanism for magnetic field above this value,
being this compound the first example reported presenting this sequence of
magneto-electric coupling mechanisms.


title:
Exact Realization of a Quantum-Dimer Model in Heisenberg
  Antiferromagnets on a Diamond-Like Decorated Lattice

abstract:
  We study Heisenberg antiferromagnets on a diamond-like decorated square
lattice perturbed by further neighbor couplings. The second-order effective
Hamiltonian is calculated and the resultant Hamiltonian is found to be a
square-lattice quantum-dimer model with a finite hopping amplitude and no
repulsion, which suggests the stabilization of the plaquette phase. Our recipe
for constructing quantum-dimer models can be adopted for other lattices and
provides a route for the experimental realization of quantum-dimer models.


title:
On the regional gradient observability of time fractional diffusion
  processes

abstract:
  This paper for the first time addresses the concepts of regional gradient
observability for the Riemann-Liouville time fractional order diffusion system
in an interested subregion of the whole domain without the knowledge of the
initial vector and its gradient. The Riemann-Liouville time fractional order
diffusion system which replaces the first order time derivative of normal
diffusion system by a Riemann-Liouville time fractional order derivative of
order $\alpha\in (0,1]$ is used to well characterize those anomalous
sub-diffusion processes. The characterizations of the strategic sensors when
the system under consideration is regional gradient observability are explored.
We then describe an approach leading to the reconstruction of the initial
gradient in the considered subregion with zero residual gradient vector. At
last, to illustrate the effectiveness of our results, we present several
application examples where the sensors are zone, pointwise or filament ones.


title:
Search for dark matter produced in association with a hadronically
  decaying vector boson in pp collisions at $\sqrt{s}$=13 TeV with the ATLAS
  detector

abstract:
  A search is presented for dark matter produced in association with a
hadronically decaying W or Z boson using 3.2 /fb of pp collisions at
$\sqrt{s}$=13 TeV recorded by the ATLAS detector at the Large Hadron Collider.
Events with a hadronic jet compatible with a W or Z boson and with large
missing transverse momentum are analysed. The data are consistent with the
Standard Model predictions and are interpreted in terms of both an effective
field theory and a simplified model containing dark matter.


title:
A combined Approach Based on Fuzzy Classification and Contextual Region
  Growing to Image Segmentation

abstract:
  We present in this paper an image segmentation approach that combines a fuzzy
semantic region classification and a context based region-growing. Input image
is first over-segmented. Then, prior domain knowledge is used to perform a
fuzzy classification of these regions to provide a fuzzy semantic labeling.
This allows the proposed approach to operate at high level instead of using
low-level features and consequently to remedy to the problem of the semantic
gap. Each over-segmented region is represented by a vector giving its
corresponding membership degrees to the different thematic labels and the whole
image is therefore represented by a Regions Partition Matrix. The segmentation
is achieved on this matrix instead of the image pixels through two main phases:
focusing and propagation. The focusing aims at selecting seeds regions from
which information propagation will be performed. Thepropagation phase allows to
spread toward others regions and using fuzzy contextual information the needed
knowledge ensuring the semantic segmentation. An application of the proposed
approach on mammograms shows promising results


title: Exact quantum query complexity of $\rm{EXACT}_{k,l}^n$

abstract:
  In the exact quantum query model a successful algorithm must always output
the correct function value. We investigate the function that is true if exactly
$k$ or $l$ of the $n$ input bits given by an oracle are 1. We find an optimal
algorithm (for some cases), and a nontrivial general lower and upper bound on
the minimum number of queries to the black box.


title:
Core-genome scaffold comparison reveals the prevalence that inversion
  events are associated with pairs of inverted repeats

abstract:
  Motivation: Genome rearrangement plays an important role in evolutionary
biology and has profound impacts on phenotype in organisms ranging from
microbes to humans. The mechanisms for genome rearrangement events remain
unclear. Lots of comparisons have been conducted among different species. To
reveal the mechanisms for rearrangement events, comparison of different
individuals/strains within the same species or genus (pan-genomes) is more
helpful since they are much closer to each other. Results: We study the
mechanism for inversion events via core-genome scaffold comparison of different
strains within the same species. We focus on two kinds of bacteria, Pseudomonas
aeruginosa and Escherichia coli, and investigate the inversion events among
different strains of the same specie. We find an interesting phenomenon that
long (larger than 10,000 bp) inversion regions are flanked by a pair of
Inverted Repeats (IRs) (with lengths ranging from 385 bp to 27476 bp) which are
often Insertion Sequences (ISs).This mechanism can also explain why the
breakpoint reuses for inversion events happen. We study the prevalence of the
phenomenon and find that it is a major mechanism for inversions. The other
observation is that for different rearrangement events such as transposition
and inverted block interchange, the two ends of the swapped regions are also
associated with repeats so that after the rearrangement operations the two ends
of the swapped regions remain unchanged. To our knowledge, this is the first
time such a phenomenon is reported for transposition event.


title:
Positron spectroscopy of point defects in the skyrmion-lattice compound
  MnSi

abstract:
  Outstanding crystalline perfection is a key requirement for the formation of
new forms of electronic order in a vast number of widely different materials.
Whereas excellent sample quality represents a standard claim in the literature,
there are, quite generally, no reliable microscopic probes to establish the
nature and concentration of lattice defects such as voids, dislocations and
different species of point defects on the level relevant to the length and
energy scales inherent to these new forms of order. Here we report an
experimental study of the archetypical skyrmion-lattice compound MnSi, where we
relate the characteristic types of point defects and their concentration to the
magnetic properties by combining different types of positron spectroscopy with
ab-initio calculations and bulk measurements. We find that Mn antisite disorder
broadens the magnetic phase transitions and lowers their critical temperatures,
whereas the skyrmion lattice phase forms for all samples studied underlining
the robustness of this topologically non-trivial state. Taken together, this
demonstrates the unprecedented sensitivity of positron spectroscopy in studies
of new forms of electronic order.


title:
Regional controllability analysis of fractional diffusion equations with
  Riemann-Liouville time fractional derivatives

abstract:
  This paper is concerned with the concepts of regional controllability for the
Riemann-Liouville time fractional diffusion systems of order $\alpha\in(0,1)$.
The characterizations of strategic actuators to achieve regional
controllability are investigated when the control inputs emerge in the
differential equations as distributed inputs. In the end, an approach to
guarantee the regional controllability of the problems under consideration in
the considered subregion with minimum energy control is described and
successfully tested through two applications.


title:
Optimal well-posedness for the inhomogeneous incompressible
  Navier-Stokes system with general viscosity

abstract:
  In this paper we obtain new well-possedness results concerning a linear
inhomogenous Stokes-like system. These results are used to establish local
well-posedness in the critical spaces for initial density $\rho_{0}$ and
velocity $u_{0}$ such that
$\rho_{0}-\rho\in\dot{B}_{p,1}^{\frac{3}{p}}(\mathbb{R}^{3})$,
$u_{0}\in\dot{B}_{p,1}^{\frac{3}{p}-1}(\mathbb{R}^{3})$, $p\in\left(
\frac{6}{5},4\right) $, for the inhomogeneous incompressible Navier-Stokes
system with variable viscosity. To the best of our knowledge, regarding the
$3D$ case, this is the first result in a truly critical framework for which one
does not assume any smallness condition on the density.


title: Raman study of coupled electronic and phononic excitations in LuB12

abstract:
  Electronic Raman scattering and optical phonon self-energies are studied on
single crystals of $LuB_{12}$ with different isotopic composition in the
temperature region 10-650K and at pressures up to 10 GPa. The shape and energy
position of the spectral peaks depend on the magnitude of the probed wave
vector, temperature, and symmetry of excitations. We simulated experimental
spectra using electronic structure obtained in the density function theory and
taking into account the electron-phonon scattering. The emergence of a broad
continuum in the spectra is identified with the inelastic scattering of light
from the electronic intraband excitations. Their coupling to non-fully
symmetric phonon modes is the source of both the Fano interference and
temperature-dependent phonon self-energies. In addition, long wavelength
vibrations of the boron atoms are in nonadiabatic regime, so the electronic
contribution to their self-energies provides a temperature dependence that is
similar to the anharmonic contribution. Comparison of calculation and
experiment allowed us to determine the coupling constant $\lambda_{ep}$=0.32,
which gives correct critical temperature of the transition to the
superconducting state.


title:
D7-brane dynamics and thermalization in the Kuperstein-Sonnenschein
  model

abstract:
  We study the temperature of rotating probe D7-branes, dual to the temperature
of flavored quarks, in the Kuperstein--Sonnenschein holographic model including
the effects of spontaneous breakdown of the conformal and chiral flavor
symmetry. The model embeds probe D7-branes into the Klebanov-Witten gravity
dual of conformal gauge theory, with the embedding parameter, given by the
minimal radial extension of the probe, setting the IR scale of conformal and
chiral flavor symmetry breakdown. We show that when the minimal extension is
positive definite and additional spin is turned on, the induced world volume
metrics on the probe admit thermal horizons and Hawking temperatures despite
the absence of black holes in the bulk. We find the scale and behavior of the
temperature in flavored quarks are determined notably by the IR scale of
symmetry breaking, and by the strength and sort of external fields. We also
derive the energy--stress tensor of the rotating probe and study its
backreaction and energy dissipation. We show that at the IR scale the
backreaction is non-negligible and find the energy can flow from the probe to
the bulk, dual to the energy dissipation from the flavor sector into the gauge
theory.


title: QCD for collider experiments

abstract:
  These lectures are intended to provide the theoretical basis of describing
high-energy particle collisions at a level appropriate to graduate students in
experimental high energy physics. They are supposed to be familiar with quantum
electrodynamics, the concept of Feynman rules, Feynman graphs and computation
of the cross section in quantum field theory.


title: Quantum Field Theory and the Electroweak Standard Model

abstract:
  The Standard Model is one of the main intellectual achievements for about the
last 50 years, a result of many theoretical and experimental studies. In this
lecture a brief introduction to the electroweak part of the Standard Model is
given. Since the Standard Model is a quantum field theory, some aspects for
understanding of quantization of abelian and non-abelian gauge theories are
also briefly discussed. It is demonstrated how well the electroweak Standard
Model works in describing a large variety of precise experimental measure-
ments at lepton and hadron colliders.


title:
Internal Length Gradient (ILG) Material Mechanics Across Scales &
  Disciplines

abstract:
  A combined theoretical/numerical/experimental program is outlined for
extending the ILG approach to consider time lags, stochasticity and
multiphysics couplings. Through this extension it is possible to discuss the
interplay between deformation internal lengths (ILs) and ILs induced by
thermal, diffusion or electric field gradients. Size-dependent multiphysics
stability diagrams are obtained, and size-dependent serrated stress-strain
curves are interpreted through combined gradient-stochastic models. When
differential equations are not available for describing material behavior, a
Tsallis non-extensive thermodynamic formulation is employed to characterize
statistical properties. A novel multiscale coarse graining technique, the
equation free method (EFM), is suggested for bridging length scales, and the
same is done for determining ILs through novel laboratory tests by employing
specimens with fabricated gradient micro/nano structures. Three emerging
research areas are discussed: (i) Plastic instabilities and size effects in
nanocrystalline (NC)/ultrafine grain (UFG) and bulk metallic glass (BMG)
materials; (ii) Chemomechanical damage, electromechanical degradation, and
photomechanical aging in energetic materials; (iii) Brain tissue and neural
cell modeling. Finally, a number of benchmark problems are considered in more
detail. They include gradient chemoelasticity for Li-ion battery electrodes;
gradient piezoelectric and flexoelectric materials; elimination of
singularities from crack tips; derivation of size-dependent stability diagrams
for shear banding in BMGs; modeling of serrated size-dependent stress-strain
curves in micro/nanopillars; description of serrations and multifractal
patterns through Tsallis q-statistics; and an extension of gradient
elasticity/plasticity models to include fractional derivatives and fractal
media.


title:
ALMA's view of the Sun's nearest neighbours: The submm/mm SEDs of the
  alpha Centauri binary and a new source

abstract:
  The precise mechanisms that provide the non-radiative energy for heating the
chromosphere and the corona of the Sun and other stars are at the focus of
intense contemporary research. Observations at submm/mm wavelengths are
particularly useful to obtain information about the run of the temperature in
the upper atmosphere of Sun-like stars. We used ALMA to study the chromospheric
emission of the aCen binary system in all six available frequency bands during
Cycle2 in 2014/15. Since ALMA is an interferometer, the multi-telescope array
is particularly suited for the observation of point sources. With its large
collecting area, the sensitivity is high enough to allow the observation of
nearby main-sequence stars at submm/mm wavelengths for the first time. The
comparison of the observed spectral energy distributions with theoretical model
computations provides the chromospheric structure in terms of temperature and
density above the stellar photosphere and the quantitative understanding of the
primary emission processes. Both stars were detected and resolved at all ALMA
frequencies. For both aCenA and B, the existence and location of the
temperature minima, firstly detected from space with Herschel, are well
reproduced by the theoretical models of this paper. For aCenB, the temperature
minimum is deeper than for A and occurs at a lower height in the atmosphere,
but for both stars, Tmin/Teff is consistently lower than what is derived from
optical and UV data. The submm/mm emission of the aCen stars is indeed very
well reproduced by modified chromospheric models of the Quiet Sun. This most
likely means that the non-radiative heating mechanisms of the upper atmosphere
that are at work in the Sun are operating also in other solar-type stars.


title:
Comparative study and enhancement of Camera Tampering Detection
  algorithms

abstract:
  Recently the use of video surveillance systems is widely increasing.
Different places are equipped by camera surveillances such as hospitals,
schools, airports, museums and military places in order to ensure the safety
and security of the persons and their property. Therefore it becomes
significant to guarantee the proper working of these systems. Intelligent video
surveillance systems equipped by sophisticated digital camera can analyze video
information s and automatically detect doubtful actions. The camera tampering
detection algorithms may indicate that accidental or suspicious activities have
occurred and that causes the abnormality works of the video surveillance.
  Camera Tampering Detection uses several techniques based on image processing
and computer vision. In this paper, comparative study of performance of three
algorithms that can detect abnormal disturbance for video surveillance is
presented.


title:
An Analytic Approach to Sunset Diagrams in Chiral Perturbation Theory:
  Theory and Practice

abstract:
  We demonstrate the use of several code implementations of the Mellin-Barnes
method available in the public domain to derive analytic expressions for the
sunset diagrams that arise in the two-loop contribution to the pion mass and
decay constant in three-flavoured chiral perturbation theory. We also provide
results for all possible two-mass configurations of the sunset integral, and
derive a new one-dimensional integral representation for the one mass sunset
integral with arbitrary external momentum. Thoroughly annotated Mathematica
notebooks are provided as ancillary files, which may serve as pedagogical
supplements to the methods described in this paper.


title:
Scaling in erosion of landscapes: Renormalization group analysis of a
  model with turbulent mixing

abstract:
  The model of landscape erosion, introduced in [{\it Phys. Rev. Lett.} {\bf
80}: 4349 (1998); {\it J. Stat. Phys.} {\bf 93}: 477 (1998)] and modified in
[{\it Theor. Math. Phys.} - in press; arXiv:1602.00432], is advected by
anisotropic velocity field. The field is Gaussian with vanishing correlation
time and the pair correlation function of the form $\propto \delta(t-t') /
k_{\bot}^{d-1+\xi}$, where $k_{\bot}=|{\bf k}_{\bot}|$ and ${\bf k}_{\bot}$ is
the component of the wave vector, perpendicular to a certain preferred
direction -- the $d$-dimensional generalization of the ensemble introduced by
Avellaneda and Majda [{\it Commun. Math. Phys.} {\bf 131}: 381 (1990)].
Analogous to the case without advection, the model is multiplicatively
renormalizable and has infinitely many coupling constants. The one-loop
counterterm is derived in a closed form in terms of the certain function
$V(h)$, entering the original stochastic equation, and its derivatives with
respect to the height field $h(t,{\bf x})$. The full infinite set of the
one-loop renormalization constants, $\beta$-functions and anomalous dimensions
is obtained from the Taylor expansion of the counter-term. Instead of a
two-dimensional surface of fixed points there is two such surfaces; they are
likely to contain infrared attractive region(s). If that is the case, the model
exhibits scaling behaviour in the infrared range. The corresponding critical
exponents are nonuniversal because they depend on the coordinates of the fixed
points on the surface; they also satisfy certain universal exact relation.


title: Database of handwritten Arabic mathematical formulas images

abstract:
  Although publicly available, ground-truthed database have proven useful for
training, evaluating, and comparing recognition systems in many domains, the
availability of such database for handwritten Arabic mathematical formula
recognition in particular, is currently quite poor. In this paper, we present a
new public database that contains mathematical expressions available in their
off-line handwritten form. Here, we describe the different steps that allowed
us to acquire this database, from the creation of the mathematical expression
corpora to the transcription of the collected data. Currently, the dataset
contains 4 238 off-line handwritten mathematical expressions written by 66
writers and 20 300 handwritten isolated symbol images. The ground truth is also
provided for the handwritten expressions as XML files with the number of
symbols, and the MATHML structure.


title: On $H$-Topological Intersection Graphs

abstract:
  Bir\'{o} et al. (1992) introduced $H$-graphs, intersection graphs of
connected subgraphs of a subdivision of a graph $H$. They are related to many
classes of geometric intersection graphs, e.g., interval graphs, circular-arc
graphs, split graphs, and chordal graphs.
  We negatively answer the 25-year-old question of Bir\'{o} et al. which asks
if $H$-graphs can be recognized in polynomial time, for a fixed graph $H$. We
prove that it is NP-complete if $H$ contains the diamond graph as a minor. We
provide a polynomial-time algorithm recognizing $T$-graphs, for each fixed tree
$T$. When $T$ is a star $S_d$ of degree $d$, we have an $O(n^{3.5})$-time
algorithm.
  We give FPT- and XP-time algorithms solving the minimum dominating set
problem on $S_d$-graphs and $H$-graphs parametrized by $d$ and the size of $H$,
respectively. The algorithm for $H$-graphs adapts to an XP-time algorithm for
the independent set and the independent dominating set problems on $H$-graphs.
  If $H$ contains the double-triangle as a minor, we prove that $H$-graphs are
GI-complete and that the clique problem is APX-hard. The clique problem can be
solved in polynomial time if $H$ is a cactus graph. When a graph $G$ has a
Helly $H$-representation, the clique problem can be solved in polynomial time.
  We show that both the $k$-clique and the list $k$-coloring problems are
solvable in FPT-time on $H$-graphs (parameterized by $k$ and the treewidth of
$H$). In fact, these results apply to classes of graphs with treewidth bounded
by a function of the clique number.
  We observe that $H$-graphs have at most $n^{O(\|H\|)}$ minimal separators
which allows us to apply the meta-algorithmic framework of Fomin et al. (2015)
to show that for each fixed $t$, finding a maximum induced subgraph of
treewidth $t$ can be done in polynomial time. When $H$ is a cactus, we improve
the bound to $O(\|H\|n^2)$.


title:
Low-energy magnetoelectric control of domain states in exchange-coupled
  heterostructures

abstract:
  The electric manipulation of antiferromagnets has become an area of great
interest recently for zero-stray-field spintronic devices, and for their rich
spin dynamics. Generally, the application of antiferromagnetic media for
information memories and storage requires a heterostructure with a
ferromagnetic layer for readout through the exchange-bias field. In
magnetoelectric and multiferroic antiferromagnets, the exchange coupling exerts
an additional impediment (energy barrier) to magnetization reversal by the
applied magnetoelectric energy. We proposed and verified a method to overcome
this barrier. We controlled the energy required for switching the magnetic
domains in magnetoelectric \cro films by compensating the exchange-coupling
energy from the ferromagnetic layer with the Zeeman energy of a small
volumetric spontaneous magnetization found for the sputtered \cro films. Based
on a simplified phenomenological model of the field-cooling process, the
magnetic and electric fields required for switching could be tuned. As an
example, the switching of antiferromagnetic domains around a zero-threshold
electric field was demonstrated at a magnetic field of 2.6 kOe.


title:
Identifying a descriptor for d-orbital delocalization in cathodes of Li
  batteries based on x-ray Compton scattering

abstract:
  We discuss how x-ray Compton scattering spectra can be used for investigating
the evolution of electronic states in cathode materials of Li batteries under
the lithiation/delithiation process. In particular, our analysis of the Compton
spectra taken from polycrystalline LixCoO2 samples shows that the spectra are
dominated by the contribution of the O-2p redox orbital. We identify a distinct
signature of d-orbital delocalization, which is tied directly to the
conductivity of the material, providing a descriptor based on Compton spectra
for monitoring the lithiation range with improved conductivity and kinetics for
electrochemical operation. Our study demonstrates that Compton scattering
spectroscopy can provide a window for probing complex electronic mechanisms
underlying the charging and discharging processes in Li-battery materials.


title:
Room-temperature steady-state entanglement in a four-mode optomechanical
  system

abstract:
  Stationary entanglement in a four-mode optomechanical system, especially
under roomtemperature, is discussed. In this scheme, when the coupling
strengths between the two target modes and the mechanical resonator are equal,
the results cannot be explained by the Bogoliubov mode- based scheme. This is
related to the idea of quantum-mechanics-free subspace, which plays an
important role when the thermal noise of the mechanical modes is considered.
Significantly prominent steady-state entanglement can be available under
room-temperature.


title: Prime ends in metric spaces and boundary extensions of mappings

abstract:
  By using the inner diameter distance condition we define and investigate new,
in such a generality, class $\mathcal{F}$ of homeomorphisms between domains in
metric spaces and show that, under additional assumptions on domains,
$\mathcal{F}$ contains (quasi)conformal, bi-Lipschitz and quasisymmetric
mappings as illustrated by examples. Moreover, we employ a prime ends theory in
metric spaces and provide conditions allowing continuous and homeomorphic
extensions of mappings in $\mathcal{F}$ to topological closures of domains, as
well as homeomorphic extensions to the prime end boundary. Domains satisfying
the bounded turning condition, locally and finitely connected at the boundary
and the structure of prime end boundaries for such domains play a crucial role
in our investigations.
  We apply our results to show the Koebe theorem on arcwise limits for mappings
in $\mathcal{F}$. Furthermore, relations between the Royden boundary and the
prime end boundary are presented.
  Our work generalizes results due to Carath\'eodory, N\"akki, V\"ais\"al\"a
and Zorich.


title:
Number of common roots and resultant of two tropical univariate
  polynomials

abstract:
  It is well known that for two univariate polynomials over complex number
field the number of their common roots is equal to the order of their
resultant. In this paper, we show that this fundamental relationship still
holds for the tropical polynomials under suitable adaptation of the notion of
order, if the roots are simple and non-zero.


title: Pure optomechanical dark mode

abstract:
  Optomechanical dark mode plays a central role in effective
mechanically-mediated conversion of two different optical fields. In this
paper, two approaches are proposed to generate pure optomechanical dark mode,
in which the optomechanical bright mode is absolutely eliminated even with
small cooperativity and different losses of the two optical cavities. Only the
optomechanical dark mode is left to facilitate quantum state transfer. This
result provides a new perspective to utilize the dark state or dark mode for
quantum information processing.


title: Spectral nuclear properties of NLS1 galaxies

abstract:
  It is not yet well known whether narrow line Seyfert 1 (NLS1) galaxies follow
the $M_{BH} - \sigma_{\star}$ relation found for normal galaxies. Emission
lines, such as [SII] or [OIII]$\lambda$5007, have been used as a surrogate of
the stellar velocity dispersion and various results have been obtained. On the
other hand, some active galactic nuclei (AGNs) have shown Balmer emission with
an additional intermediate component (IC) besides the well-known narrow and
broad lines. In order to re-examine the location of NLS1 in the $M_{BH} -
\sigma_{\star}$ relation, we test some emission lines, such as the narrow
component (NC) of H$\alpha$ and the forbidden [NII]$\lambda \lambda$6548,6584
and [SII]$\lambda \lambda$6716,6731 lines, as replacements for
$\sigma_{\star}$. On the other hand, we study the properties of the IC of
H$\alpha$ found in 14 galaxies of the sample to find a link between this
component, the central engine, and the remaining lines. We also compare the
emission among the broad component (BC) of H$\alpha$ and those emitted at the
narrow line region (NLR). We have obtained and studied medium-resolution
spectra (170 km s$^{-1}$ FWHM at H$\alpha$) of 36 NLS1 galaxies in the optical
range $\sim$5800 - 6800\AA. We found that, in general, most of the galaxies lie
below the $M_{BH} - \sigma_{\star}$ relation when the NC of H$\alpha$, [SII],
and [NII] lines are used as a surrogate of $\sigma_{\star}$. Besides this, we
found that 13 galaxies show an IC, most of which are in the velocity range
$\sim$ 700 $-$ 1500 km s$^{- 1}$. This is same range as in AGN types and is
well correlated with the FWHM of BC and, therefore, with the BH mass. On the
other hand, we found that there is a correlation between the luminosity of the
BC of H$\alpha$ and NC, IC, [NII]$\lambda$6584, and [SII] lines.


title: First passage time statistics for two-channel diffusion

abstract:
  We present rigorous results for the mean first passage time and first passage
time statistics for two-channel Markov additive diffusion in a 3-dimensional
spherical domain. Inspired by biophysical examples we assume that the particle
can only recognise the target in one of the modes, which is shown to effect a
non-trivial first passage behaviour. We also address the scenario of
intermittent immobilisation. In both cases we prove that despite the perfectly
non-recurrent motion of two-channel Markov additive diffusion in 3 dimensions
the first passage statistics at long times do not display Poisson-like
behaviour if none of the phases has a vanishing diffusion coefficient. This
stands in stark contrast to the standard (one-channel) Markov diffusion
counterpart. We also discuss the relevance of our results in the context of
cellular signalling.

categories: cond-mat.stat-mech math-ph math.MP physics.bio-ph


title:
The distribution of mean and fluctuating magnetic fields in the
  multi-phase ISM

abstract:
  We explore the effects of the multi-phase structure of the interstellar
medium (ISM) on galactic magnetic fields. Basing our analysis on compressible
magnetohydrodynamic (MHD) simulations of supernova-driven turbulence in the
ISM, we investigate the properties of both the mean and fluctuating components
of the magnetic field. We find that the mean magnetic field preferentially
resides in the warm phase and is generally absent from the hot phase. The
fluctuating magnetic field does not show such pronounced sensitivity to the
multi-phase structure.


title:
What do we approximate and what are the consequences in perturbation
  theory?

abstract:
  We present a discussion of the consequences in perturbation theory when an
exact eigenfunctions and eigenvalues to to the zeroth order Hamiltonian $H_0$
cannot be found. Since the usual approximations such as projecting the
wavefunction on to a finite basis set and restricting the particle interaction
is a way of constructing an approximate zeroth order Hamiltonian $H_0'$ we will
here argue that the exact eigenfunctions and eigenvalues are always found for
$H_0'$. We will show that as long as the perturbative expansion does not depend
on any intrinsic properties of $H_0$ but only on knowing the exact
eigenfunctions and eigenvalues then any perturbative statement, such as origin
independence intensities, will be true for any $H_0'$ provided that $H_0'$ has
a spectrum. We will use this to show that the origin independence for the
intensities is trivially fulfilled in the velocity gauge but also can be
fulfilled exactly in the length gauge if an appropriate $H_0$ is chosen.
Finally a small numerically demonstration of the origin dependence of the terms
for the second-order intensities in both the length and velocity gauge is
undertaking to numerically illustrate the theoretical statements.


title: On connections on principal bundles

abstract:
  A new construction of a universal connection was given in \cite{BHS}. The
main aim here is to explain this construction. A theorem of Atiyah and Weil
says that a holomorphic vector bundle $E$ over a compact Riemann surface admits
a holomorphic connection if and only if the degree of every direct summand of
$E$ is degree. In \cite{AB}, this criterion was generalized to principal
bundles on compact Riemann surfaces. This criterion for principal bundles is
also explained.


title:
New limit for the half-life of double beta decay of $^{94}$Zr to the
  first excited state of $^{94}$Mo

abstract:
  Neutrinoless Double Beta Decay is a phenomenon of fundamental interest in
particle physics. The decay rates of double beta decay transitions to the
excited states can provide input for Nuclear Transition Matrix Element
calculations for the relevant two neutrino double beta decay process. It can be
useful as supplementary information for the calculation of Nuclear Transition
Matrix Element for the neutrinoless double beta decay process. In the present
work, double beta decay of $^{94}$Zr to the $2^{+}_{1}$ excited state of
$^{94}$Mo at 871.1 keV is studied using a low background $\sim$ 230 cm$^3$ HPGe
detector. No evidence of this decay was found with a 232 g.y exposure of
natural Zirconium. The lower half-life limit obtained for the double beta decay
of $\rm^{94}Zr$ to the $2^{+}_{1}$ excited state of $\rm^{94}Mo$ is $T_{1/2}
(0\nu + 2\nu)> 3.4 \times 10^{19}$ y at 90% C.L., an improvement by a factor of
$\sim$ 4 over the existing experimental limit at 90\% C.L. The sensitivity is
estimated to be $T_{1/2} (0\nu + 2\nu) > 2.0\times10^{19}$ y at 90% C.L. using
the Feldman-Cousins method.


title: When Are Welfare Guarantees Robust?

abstract:
  Computational and economic results suggest that social welfare maximization
and combinatorial auction design are much easier when bidders' valuations
satisfy the "gross substitutes" condition. The goal of this paper is to
evaluate rigorously the folklore belief that the main take-aways from these
results remain valid in settings where the gross substitutes condition holds
only approximately. We show that for valuations that pointwise approximate a
gross substitutes valuation (in fact even a linear valuation), optimal social
welfare cannot be approximated to within a subpolynomial factor and demand
oracles cannot be simulated using a subexponential number of value queries. We
then provide several positive results by imposing additional structure on the
valuations (beyond gross substitutes), using a more stringent notion of
approximation, and/or using more powerful oracle access to the valuations. For
example, we prove that the performance of the greedy algorithm degrades
gracefully for near-linear valuations with approximately decreasing marginal
values, that with demand queries, approximate welfare guarantees for XOS
valuations degrade gracefully for valuations that are pointwise close to XOS,
and that the performance of the Kelso-Crawford auction degrades gracefully for
valuations that are close to various subclasses of gross substitutes
valuations.


title:
Nonlinear evolution of electron shear flow instabilities in the presence
  of an external guide magnetic field

abstract:
  The dissipation mechanism by which the magnetic field reconnects in the
presence of an external (guide) magnetic field in the direction of the main
current is not well understood. In thin electron current sheets (ECS)
(thickness ~ an electron inertial length) formed in collisionless magnetic
reconnection, electron shear flow instabilities (ESFI) are potential candidates
for providing an anomalous dissipation mechanism which can break the frozen-in
condition of the magnetic field affecting the structure and rate of
reconnection. We investigate the evolution of ESFI in guide field magnetic
reconnection. The properties of the resulting plasma turbulence and their
dependence on the strength of the guide field are studied. Utilizing 3-D
electron-magnetohydrodynamic simulations of ECS we show that, unlike the case
of ECS self-consistently embedded in anti-parallel magnetic fields, the
evolution of thin ECS in the presence of a guide field (equal to the asymptotic
value of the reconnecting magnetic field or larger) is dominated by high wave
number non-tearing mode instabilities. The latter cause the development of,
first, a wavy structure of the ECS. The turbulence, developed later, consists
of current filaments and electron flow vortices. As a result of the nonlinear
evolution of the instability, the ECS broadens simultaneously with its
flattening in the central region mimicking a viscous-like turbulent
dissipation. Later, the flattened ECS bifurcates. During the time of the
bifurcation, the rate of the change of the mean electron flow velocity is
proportional to the magnitude of the flow velocity, suggesting a resistive-like
dissipation. The turbulence energy cascades to shorter wavelengths
preferentially in the direction perpendicular to the guide magnetic field. The
degree of anisotropy of the turbulence was found to increase with the
increasing strength of the guide field.


title: Anomalous Postselection in the Hensen et al. Bell Test

abstract:
  It is shown that the data of the Hensen et al. Bell test experiment exhibits
anomalous postselection that can fully account for the apparent violation of
the CHSH inequality. A simulation of a local realist model implementing similar
postselection is presented. The model produces an apparent violation of CHSH
indistinguishable from that of the experiment. The experimental data also
appears to violate no-signaling, and it is shown how postselection can produce
an artifactual violation of no-signaling. The Hensen et al. experiment does not
succeed in rejecting classical locality and therefore does not confirm quantum
nonlocality.