title: Fractionally integrated inverse stable subordinators

abstract:
  A fractionally integrated inverse stable subordinator (FIISS) is the
convolution of a power function and an inverse stable subordinator. We show
that the FIISS is a scaling limit in the Skorokhod space of a renewal shot
noise process with heavy-tailed, infinite mean `inter-shot' distribution and
regularly varying response function. We prove local H\"{o}lder continuity of
FIISS and a law of iterated logarithm for both small and large times.


title: A Complete Logic for Database Abstract State Machines

abstract:
  In database theory, the term $\textit{database transformation}$ was used to
refer to a unifying treatment for computable queries and updates. Recently, it
was shown that non-deterministic database transformations can be captured
exactly by a variant of ASMs, the so-called Database Abstract State Machines
(DB-ASMs). In this article we present a logic for DB-ASMs, extending the logic
of Nanchen and St\"ark for ASMs. In particular, we develop a rigorous proof
system for the logic for DB-ASMs, which is proven to be sound and complete. The
most difficult challenge to be handled by the extension is a proper
formalisation capturing non-determinism of database transformations and all its
related features such as consistency, update sets or multisets associated with
DB-ASM rules. As the database part of a state of database transformations is a
finite structure and DB-ASMs are restricted by allowing quantifiers only over
the database part of a state, we resolve this problem by taking update sets
explicitly into the logic, i.e. by using an additional modal operator $[X]$,
where $X$ is interpreted as an update set $\Delta$ generated by a DB-ASM rule.
The DB-ASM logic provides a powerful verification tool to study properties of
database transformations.


title: Stationary scattering theory on manifolds, II

abstract:
  Based on our previous study [IS2] we develop fully the stationary scattering
theory for the Schrodinger operator on a manifold possessing an escape
function. A particular class of examples are manifolds with Euclidean and/or
hyperbolic ends, possibly with unbounded and non-smooth obstacles. We develop
the theory largely along the classical lines [Sa, Co] and derive in particular
WKB- asymptotics of appropriate generalized eigenfunctions. As an application
we solve a conjecture of [HPW] on cross-ends transmissions in its natural and
strong form within the framework of our theory.


title: Stationary scattering theory on mainifolds, I

abstract:
  We study spectral theory for the Schrodinger operator on manifolds possessing
an escape function. A particular class of examples are manifolds with Euclidean
and/or hyperbolic ends.


title:
Different time scales in plasmonically enhanced high-order harmonic
  generation

abstract:
  We investigate high-order harmonic generation in inhomogeneous media for
reduced dimensionality models. We perform a phase-space analysis, in which we
identify specific features caused by the field inhomogeneity. We compute
high-order harmonic spectra using the numerical solution of the time-dependent
Schr\"odinger equation, and provide an interpretation in terms of classical
electron trajectories. We show that the dynamics of the system can be described
by the interplay of high-frequency and slow-frequency oscillations, which are
given by Mathieu's equations. The latter oscillations lead to an increase in
the cutoff energy, and, for small values of the inhomogeneity parameter, take
place over many driving-field cycles. In this case, the two processes can be
decoupled and the oscillations can be described analytically.


title: Effective criteria for bigraded birational maps

abstract:
  In this paper, we consider rational maps whose source is a product of two
subvarieties, each one being embedded in a projective space. Our main objective
is to investigate birationality criteria for such maps. First, a general
criterion is given in terms of the rank of a couple of matrices that became to
be known as Jacobian dual matrices. Then, we focus on rational maps from the
product of two projectine lines to the projective plane in very low bidegrees
and provide new matrix-based birationality criteria by analyzing the syzygies
of the defining equations of the map, in particular by looking at the dimension
of certain bigraded parts of the syzygy module. Finally, applications of our
results to the context of geometric modeling are discussed at the end of the
paper.


title:
Morphisms to Brauer-Severi Varieties, with Applications to Del Pezzo
  Surfaces

abstract:
  We classify morphisms from proper varieties to Brauer-Severi varieties, which
generalizes the classical correspondence between morphisms to projective space
and globally generated invertible sheaves. As an application, we study del
Pezzo surfaces of large degree with a view towards Brauer-Severi varieties, and
recover classical results on rational points, the Hasse principle, and weak
approximation.


title: Transferring multipartite entanglement among different cavities

abstract:
  The transfer of quantum entanglement (or quantum coherence) is not only
fundamental in quantum mechanics but also important in quantum information
processing. We here propose a way to achieve the coherent transfer of $W$-class
entangled states of qubits among different cavities. Because no photon is
excited in each cavity, decoherence caused by the photon decay is suppressed
during the transfer. In addition, only one coupler qubit and one operational
step are needed and no classical pulses are used in this proposal, thus the
engineering complexity is much reduced and the operation is greatly simplified.
We further give a numerical analysis, showing that high-fidelity transfer of a
three-qubit $W$ state is feasible within the present circuit QED technique. The
proposal can be applied to a wide range of physical implementation with various
qubits such as quantum dots, nitrogen-vacancy centers, atoms, and
superconducting qubits.


title: Rellich's theorem and N-body Schrodinger operators

abstract:
  We show an optimal version of the Rellich theorem for generalized many-body
Schrodinger operators. It applies to singular potentials, in particular to a
model for atoms and molecules with infinite mass and finite extent nuclei. Our
proof relies on a Mourre estimate and a functional calculus localization
technique.


title: Higher cohomologies of commutative monoids

abstract:
  Extending Eilenberg-Mac Lane's methods, higher level cohomologies for
commutative monoids are introduced and studied. Relationships with pre-existing
theories (Leech, Grillet, ...) are stated. The paper includes a cohomological
classification for symmetric monoidal groupoids and several computations for
cyclic monoids.


title: Active Learning from Positive and Unlabeled Data

abstract:
  During recent years, active learning has evolved into a popular paradigm for
utilizing user's feedback to improve accuracy of learning algorithms. Active
learning works by selecting the most informative sample among unlabeled data
and querying the label of that point from user. Many different methods such as
uncertainty sampling and minimum risk sampling have been utilized to select the
most informative sample in active learning. Although many active learning
algorithms have been proposed so far, most of them work with binary or
multi-class classification problems and therefore can not be applied to
problems in which only samples from one class as well as a set of unlabeled
data are available.
  Such problems arise in many real-world situations and are known as the
problem of learning from positive and unlabeled data. In this paper we propose
an active learning algorithm that can work when only samples of one class as
well as a set of unlabelled data are available. Our method works by separately
estimating probability desnity of positive and unlabeled points and then
computing expected value of informativeness to get rid of a hyper-parameter and
have a better measure of informativeness./ Experiments and empirical analysis
show promising results compared to other similar methods.


title:
Polynomial growth of discrete quantum groups, topological dimension of
  the dual and *-regularity of the Fourier algebra

abstract:
  Banica and Vergnioux have shown that the dual discrete quantum group of a
compact simply connected Lie group has polynomial growth of order the real
manifold dimension. We extend this result to a general compact group and its
topological dimension, by connecting it with the Gelfand-Kirillov dimension of
an algebra. Furthermore, we show that polynomial growth for a compact quantum
group G of Kac type implies *-regularity of the Fourier algebra A(G), that is
every closed ideal of C(G) has a dense intersection with A(G). In particular,
A(G) has a unique C*-norm.


title:
Testing Models for the Shallow Decay Phase of Gamma-Ray Burst Afterglows
  with Polarization Observations

abstract:
  The X-ray afterglows of almost one half of gamma-ray bursts have been
discovered to have a shallow decay phase by the {\em Swift} satellite, whose
origin remains mysterious. Two main models have been proposed to explain this
phase, relativistic wind bubbles (RWBs) and structured ejecta, which could
originate from millisecond magnetars and rapidly-rotating black holes,
respectively. Based on these models, we here investigate polarization evolution
in the shallow decay phase of X-ray and optical afterglows. We find that in the
RWB model, a significant bump of the polarization degree evolution curve
appears during the shallow decay phase of both optical and X-ray afterglows,
while the polarization position angle changes its direction by $90^\circ$
abruptly. In the structured ejecta model, however, the polarization degree does
not evolve significantly during the shallow decay phase of afterglows, no
matter whether the magnetic field configuration in the ejecta is random or
globally large-scale. Therefore, we conclude that these two models for the
shallow decay phase and relevant central engines would be testable with future
polarization observations.


title: Effective potential from zero-momentum potential

abstract:
  We obtain the centre-of-mass frame effective potential from the zero-momentum
potential in Ruijsenaars-Schneider type 1-dimensional relativistic mechanics
using classical inverse scattering methods.


title: The transparency of the universe for very high energy gamma-rays

abstract:
  The propagation of very high energy gamma-rays ($E>100$~GeV) over
cosmological distances is suppressed by pair-production processes with the
ubiquitous extra-galactic soft photon background, mainly in the optical to near
infra-red. The detailed spectroscopy of gamma-ray emitting blazars has revealed
the signature of this absorption process leading to a meaningful measurement of
the background photon field which is linked to the star-forming history of the
universe. Deviations from the expected absorption have been claimed in the
past. Here the status of the observations is summarized, an update on the
search for the persisting anomalous transparency is given and discussed.


title: Topological comparison theorems for Bredon motivic cohomology

abstract:
  We prove equivariant versions of the Beilinson-Lichtenbaum conjecture for
Bredon motivic cohomology of smooth complex and real varieties with an action
of the group of order two. This identifies equivariant motivic and topological
invariants in a large range of degrees.


title: On Isomorphisms of Vertex-transitive Graphs

abstract:
  The isomorphism problem of Cayley graphs has been well studied in the
literature, such as characterizations of CI (DCI)-graphs and CI (DCI)-groups.
In this paper, we generalize these to vertex-transitive graphs and establish
parallel results. Some interesting vertex-transitive graphs are given,
including a first example of connected symmetric non-Cayley non-GI-graph. Also,
we initiate the study for GI and DGI-groups, defined analogously to the concept
of CI and DCI-groups.


title: A formal language for cyclic operads

abstract:
  We propose a $\lambda$-calculus-style formal language, called the
$\mu$-syntax, as a lightweight representation of the structure of cyclic
operads. We illustrate the rewriting methods behind the formalism by giving a
complete step-by-step proof of the equivalence between the unbiased and biased
definitions of cyclic operads.


title: SL(2;R)-representations of a Brieskorn homology 3-sphere

abstract:
  We classify SL(2;C)-representations of a Brieskorn homology 3-sphere. We show
any irreducible representation into SL(2;C) is conjugate to that into either
SU(2) or SL(2;R). We also give a construction of SL(2;R)-representations for a
Brieskorn homology 3-sphere from PSL(2;R)-representations of the base orbifold
fundamental group.


title:
Enumeration and Maximum Number of Minimal Connected Vertex Covers in
  Graphs

abstract:
  Connected Vertex Cover is one of the classical problems of computer science,
already mentioned in the monograph of Garey and Johnson. Although the
optimization and decision variants of finding connected vertex covers of
minimum size or weight are well studied, surprisingly there is no work on the
enumeration or maximum number of minimal connected vertex covers of a graph. In
this paper we show that the maximum number of minimal connected vertex covers
of a graph is at most 1.8668^n, and these can be enumerated in time
O(1.8668^n). For graphs of chordality at most 5, we are able to give a better
upper bound, and for chordal graphs and distance-hereditary graphs we are able
to give tight bounds on the maximum number of minimal connected vertex covers.


title: Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics

abstract:
  We experimentally demonstrate a nonlinear detection scheme exploiting
time-reversal dynamics that disentangles continuous variable entangled states
for feasible readout. Spin-exchange dynamics of Bose-Einstein condensates is
used as the nonlinear mechanism which not only generates entangled states but
can also be time reversed by controlled phase imprinting. For demonstration of
a quantum-enhanced measurement we construct an active atom SU(1,1)
interferometer, where entangled state preparation and nonlinear readout both
consist of parametric amplification. This scheme is capable of exhausting the
quantum resource by detecting solely mean atom numbers. Controlled nonlinear
transformations widen the spectrum of useful entangled states for applied
quantum technologies.


title: Transport in strongly-coupled graphene-LaAlO3/SrTiO3 hybrid systems

abstract:
  We report on the transport properties of hybrid devices obtained by
depositing graphene on a LaAlO3/SrTiO3 oxide junction hosting a 4 nm-deep
two-dimensional electron system. At low graphene-oxide inter-layer bias the two
electron systems are electrically isolated, despite their small spatial
separation, and very efficient reciprocal gating is shown. A pronounced
rectifying behavior is observed for larger bias values and ascribed to the
interplay between electrostatic depletion and tunneling across the LaAlO3
barrier. The relevance of these results in the context of strongly-coupled
bilayer systems is discussed.


title: A Bayesian Approach to the Data Description Problem

abstract:
  In this paper, we address the problem of data description using a Bayesian
framework. The goal of data description is to draw a boundary around objects of
a certain class of interest to discriminate that class from the rest of the
feature space. Data description is also known as one-class learning and has a
wide range of applications.
  The proposed approach uses a Bayesian framework to precisely compute the
class boundary and therefore can utilize domain information in form of prior
knowledge in the framework. It can also operate in the kernel space and
therefore recognize arbitrary boundary shapes. Moreover, the proposed method
can utilize unlabeled data in order to improve accuracy of discrimination.
  We evaluate our method using various real-world datasets and compare it with
other state of the art approaches of data description. Experiments show
promising results and improved performance over other data description and
one-class learning algorithms.


title: Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms

abstract:
  This is the first in a series of articles where we will study the Iwasawa
theory of an elliptic modular form f along the anticyclotomic Zp-tower of an
imaginary quadratic field K where the prime p splits completely. Our goal in
this portion is to prove the Iwasawa main conjecture for suitable twists of f
assuming that f is p-ordinary, both in the definite and indefinite setups
simultaneously, via an analysis of Beilinson-Flach elements.


title: Computability and Analysis, a Historical Approach

abstract:
  The history of computability theory and and the history of analysis are
surprisingly intertwined since the beginning of the twentieth century. For one,
\'Emil Borel discussed his ideas on computable real number functions in his
introduction to measure theory. On the other hand, Alan Turing had computable
real numbers in mind when he introduced his now famous machine model. Here we
want to focus on a particular aspect of computability and analysis, namely on
computability properties of theorems from analysis. This is a topic that
emerged already in early work of Turing, Specker and other pioneers of
computable analysis and eventually leads us to the very recent project of
classifying the computational content of theorems in the Weihrauch lattice.


title: On the parity of supersingular Weil polynomials

abstract:
  Let q be an odd power of a prime p and let A/Fq be a supersingular abelian
variety of dimension g. We show that if p>2g+1, then the characteristic
polynomial of the q-Frobenius is an even polynomial. This generalizes the
well-known result on the vanishing of the trace of the p-Frobenius when p>3 for
supersingular elliptic curves over Fp.


title:
Exact solution of equations for proton localization in neutron star
  matter

abstract:
  The rigorous treatment of proton localization phenomenon in asymmetric
nuclear matter is presented. The solution of proton wave function and neutron
background distribution is found by the use of the extended Thomas-Fermi
approach. The minimum of energy is obtained in the Wigner- Seitz approximation
of spherically symmetric cell. The analysis of three different nuclear models
suggests that the proton localization is likely to take place in the interior
of neutron star.


title:
On the theory of vector field with a symmetric affinors. Real vector
  field in the framework of the standard methods

abstract:
  Attention is drawn to the mathematical equality of rights of symmetrical
constituents derived affinor of a vector field in relation to its antisymmetric
constituents. In this regard, raises the question not only of equitable
accounting, but and mainly question of the real existence of fields,
represented by these constituents. In particular, we conclude that the
classical electromagnetic field at any point of space-time accompanied, in the
General case, independent physical field, defined symmetrical derived affinor
of 4-potential of classical electrodynamics. Discussed, within the framework of
the Bogolyubov and Shirkov axiomatic, a theory of real vector field, clearly
and equitably taking into account the symmetric derived affinors this field and
found a number of important distinguishing features this model. Despite
accounting explicitly gauge-noninvariant constituents, the proposed theory has
specialized gauge invariance, which provides, in particular, conservation of
electric current. In this connection, the difficulties with the probabilistic
interpretation, in the case of indefinite-metric version of the theory, are
surmountable by standard methods. Finally, is proposed the physical content of
the fields, defined of a symmetrical derived affinor of 4-potential of
classical electrodynamics.
  Keywords: vector field, symmetrical derived affinor, gauge invariance.


title: Super-Poissonian shot noise of squeezed-magnon mediated spin transport

abstract:
  The magnetization of a ferromagnet (F) driven out of equilibrium injects pure
spin current into an adjacent conductor (N). Such F$|$N bilayers have become
basic building blocks in a wide variety of spin based devices. We evaluate the
shot noise of the spin current traversing the F$|$N interface when F is
subjected to a coherent microwave drive. We find that the noise spectrum is
frequency independent up to the drive frequency, and increases linearly with
frequency thereafter. The low frequency noise indicates super-Poissonian spin
transfer, which results from quasi-particles with effective spin $\hbar^* =
\hbar (1 + \delta)$. For typical ferromagnetic thin films, $\delta \sim 1$ is
related to the dipolar interaction-mediated squeezing of F eigenmodes.


title:
A Quantum Computational Semantics for Epistemic Logical Operators. Part
  I: Epistemic Structures

abstract:
  Some critical open problems of epistemic logics can be investigated in the
framework of a quantum computational approach. The basic idea is to interpret
sentences - like Alice knows that Bob does not understand that Pi is irrational
- as pieces of quantum information (generally represented by density operators
of convenient Hilbert spaces). Logical epistemic operators (to understand, to
know ...) are dealt with as (generally irreversible) quantum operations, which
are, in a sense, similar to measurement-procedures. This approach permits us to
model some characteristic epistemic processes, that concern both human and
artificial intelligence. For instance, the operation of \memorizing and
retrieving information" can be formally represented, in this framework, by
using a quantum teleportation phenomenon.


title: Quantum Approach to Epistemic Semantics

abstract:
  Quantum information has suggested new forms of quantum logic, called quantum
computational logics, where meanings of sentences are represented by pieces of
quantum information (generally, density operators of some Hilbert spaces),
which can be stored and transmitted by means of quantum particles. This
approach can be applied to a semantic characterization of epistemic logical
operations, which may occur in sentences like "At time t0 Bob knows that at
time t Alice knows that the spin-value is up". Each epistemic agent (say,
Alice, Bob,...) has a characteristic truth-perspective, corresponding to a
particular orthonormal basis of the Hilbert space C^2. From a physical point of
view, a truth-perspective can be associated to an apparatus that allows one to
measure a given observable. An important feature that characterizes the
knowledge of any agent is the amount of information that is accessible to
him/her (technically, a special set of density operators, which also represents
the internal memory of the agent in question). One can prove that interesting
epistemic operations are special examples of quantum channels, which generally
are not unitary. The act of knowing may involve some intrinsic irreversibility
due to possible measurement procedures or to a loss of information about the
environment. We also illustrate some relativistic-like effects that arise in
the behavior of epistemic agents.


title: Holistic logical arguments in quantum computation

abstract:
  Quantum computational logics represent a logical abstraction from the
circuit-theory in quantum computation. In these logics formulas are supposed to
denote pieces of quantum information (qubits, quregisters or mixtures of
quregisters), while logical connectives correspond to (quantum logical) gates
that transform quantum information in a reversible way. The characteristic
holistic features of the quantum theoretic formalism (which play an essential
role in entanglement-phenomena) can be used in order to develop a holistic
version of the quantum computational semantics. In contrast with the
compositional character of most standard semantic approaches, meanings of
formulas are here dealt with as global abstract objects that determine the
contextual meanings of the formulas' components (from the whole to the parts).
We present a survey of the most significant logical arguments that are valid or
that are possibly violated in the framework of this semantics. Some logical
features that may appear prima facie strange seem to reflect pretty well
informal arguments that are currently used in our rational activity.


title:
A Quantum Computational Semantics for Epistemic Logical Operators. Part
  II: Semantics

abstract:
  By using the abstract structures investigated in the first Part of this
article, we develop a semantics for an epistemic language, which expresses
sentences like "Alice knows that Bob does not understand that PI is
irrational". One is dealing with a holistic form of quantum computational
semantics, where entanglement plays a fundamental role, thus, the meaning of a
global expression determines the contextual meanings of its parts, but
generally not the other way around. The epistemic situations represented in
this semantics seem to reflect some characteristic limitations of the real
processes of acquiring information. Since knowledge is not generally closed
under logical consequence, the unpleasant phenomenon of logical omniscience is
here avoided.


title:
Application of an Extended Random Phase Approximation on Giant
  Resonances in Light, Medium and Heavy Mass Nuclei

abstract:
  We present results of the time blocking approximation (TBA) on giant
resonances in light, medium and heavy mass nuclei. The TBA is an extension of
the widely used random-phase approximation (RPA) adding complex configurations
by coupling to phonon excitations. A new method for handling the
single-particle continuum is developed and applied in the present calculations.
We investigate in detail the dependence of the numerical results on the size of
the single particle space and the number of phonons as well as on nuclear
matter properties. Our approach is self-consistent, based on an energy-density
functional of Skyrme type where we used seven different parameter sets. The
numerical results are compared with experimental data.


title:
Bounds on LFV Higgs decays in a vector-like lepton model and searching
  for doubly charged leptons at the LHC

abstract:
  The Higgs-portal lepton flavor violation is studied in a vectorlike lepton
model. For evading the constraints from rare $Z\to \ell^\pm_i \ell^\mp_j$
decays, we introduce two triplet vectorlike leptons, $(1,3)_{-1}$ and
$(1,3)_{0}$. The resultant branching ratio for $h\to \mu \tau$ can be up to
$10^{-4}$ when the constraints from the invisible $Z$ decays are applied. As a
result, the signal strength for $\tau\tau$ channel has a $12\%$ deviation from
the standard model prediction, while the muon $g-2$ is two-order of magnitude
smaller than the data and $BR(\tau\to \mu \gamma)$ is of order of $10^{-12}$. A
predicted doubly charged lepton in $pp$ collisions at $\sqrt{s}=13$ TeV is
analyzed and it is found that the interesting production channels are $pp\to
(\Psi^{--}_{1} \Psi^{++}_1, \Psi^{\pm\pm}_1 \Psi^\mp_1)$. Both single and pair
production cross sections of $\Psi^{++}_1$ are comparable and can be a few
hundred fb. The main decay channels for the doubly charged lepton are
$\Psi^{\pm\pm} \to \ell^\pm W^\pm$ and for the heavy singly charged lepton are
$\Psi^\pm_1 \to \nu W^\pm, \ell^\pm Z$. The numerical analysis is given at $13$
TeV LHC with $100$ fb$^{-1}$ luminosity.


title: Nonlinear interactions for massive spin-2 fields

abstract:
  We give a basic introduction to ghost-free nonlinear theories involving
massive spin-2 fields, focussing on bimetric theory. After motivating the
construction of such models from field theoretical considerations, we review
the linear theories for massive and massless spin-2 fluctuations propagating on
maximally symmetric backgrounds. The structure of general nonlinear spin-2
interactions is explained before we specialise to the ghost-free case. We
review the maximally symmetric solutions of bimetric theory, its mass spectrum
and the parameter limit which brings the theory close to general relativity.
Finally we discuss applications of bimetric theory to cosmology with particular
emphasis on the role of the general relativity limit.


title:
On the significance of asperity models predictions of rough contact with
  respect to recent alternative theories

abstract:
  Recently, it has been shown that while asperity models show correctly
qualitative features of rough contact problems (linearity in area-load,
negative exponential dependence of load on separation which means also
linearity of stiffness with load), the exact value of the coefficients are not
precise for the idealized case of Gaussian distribution of heigths. This is due
to the intrinsic simplifications, neglecting asperity coalescence and
interaction effects. However, the issue of Gaussianity has not been proved or
experimentally verified in many cases, and here we show that, for example,
assuming a Weibull distribution of asperity heigths, the area-load linear
coefficient is not much affected, while the relationships load-separation and
therefore also stiffness-load do change largely, particularly when considering
bounded distributions of asperity heigths. It is suggested that Gaussianity of
surfaces should be further tested in experiments, before applying the most
sophisticated rough contact models based on the Gaussian assumption.


title:
Antineutrino emission and gamma background characteristics from a
  thermal research reactor

abstract:
  The detailed understanding of the antineutrino emission from research
reactors is mandatory for any high sensitivity experiments either for
fundamental or applied neutrino physics, as well as a good control of the gamma
and neutron backgrounds induced by the reactor operation. In this article, the
antineutrino emission associated to a thermal research reactor: the OSIRIS
reactor located in Saclay, France, is computed in a first part. The calculation
is performed with the summation method, which sums all the contributions of the
beta decay branches of the fission products, coupled for the first time with a
complete core model of the OSIRIS reactor core. The MCNP Utility for Reactor
Evolution code was used, allowing to take into account the contributions of all
beta decayers in-core. This calculation is representative of the isotopic
contributions to the antineutrino flux which can be found at research reactors
with a standard 19.75\% enrichment in $^{235}$U. In addition, the required
off-equilibrium corrections to be applied to converted antineutrino energy
spectra of uranium and plutonium isotopes are provided. In a second part, the
gamma energy spectrum emitted at the core level is provided and could be used
as an input in the simulation of any reactor antineutrino detector installed at
such research facilities. Furthermore, a simulation of the core surrounded by
the pool and the concrete shielding of the reactor has been developed in order
to propagate the emitted gamma rays and neutrons from the core. The origin of
these gamma rays and neutrons is discussed and the associated energy spectrum
of the photons transported after the concrete walls is displayed.


title: Quantum Hall effect in momentum space

abstract:
  We theoretically discuss a momentum-space analog of the quantum Hall effect,
which could be observed in topologically nontrivial lattice models subject to
an external harmonic trapping potential. In our proposal, the Niu-Thouless-Wu
formulation of the quantum Hall effect on a torus is realized in the toroidally
shaped Brillouin zone. In this analogy, the position of the trap center in real
space controls the magnetic fluxes that are inserted through the holes of the
torus in momentum space. We illustrate the momentum-space quantum Hall effect
with the noninteracting trapped Harper-Hofstadter model, for which we
numerically demonstrate how this effect manifests itself in experimental
observables. Extension to the interacting trapped Harper-Hofstadter model is
also briefly considered. We finally discuss possible experimental platforms
where our proposal for the momentum-space quantum Hall effect could be
realized.


title: Microwave-induced resistance oscillations as a classical memory effect

abstract:
  By numerical simulations and analytical studies, we show that the phenomenon
of microwave-induced resistance oscillations can be understood as a classical
memory effect caused by re-collisions of electrons with scattering centers
after a cyclotron period. We develop a Drude-like approach to magneto-transport
in presence of a microwave field, taking account of memory effects, and find an
excellent agreement between numerical and analytical results, as well as a
qualitative agreement with experiment.


title: Self-consistent Description of Graphene Quantum Amplifier

abstract:
  High level of dissipation in normal metals makes challenging development of
active and passive plasmonic devices. One possible solution to this problem is
to use alternative materials. Graphene is a good candidate for plasmonics in
near infrared (IR) region. In this paper we develop quantum theory of a
graphene plasmon generator. We account for the first time quantum correlations
and dissipation effects that allows describing such regimes of quantum
plasmonic amplifier as surface plasmon emitting diode and surface plasmon
amplifier by stimulated emission of radiation. Switching between these
generation types is possible in situ with variance of graphene Fermi-level or
gain transition frequency. We provide explicit expressions for dissipation and
interaction constants through material parameters and find the generation
spectrum and correlation function of second order which predicts laser
statistics.


title: Detecting the cosmic web with radio surveys

abstract:
  We study the challenges to detect the cosmic web at radio wavelengths with
state-of-the-art cosmological simulations of extragalactic magnetic fields. The
incoming generation of radio surveys operating at low frequency, like LOFAR,
SKA-LOW and MWA will have the best chance to detect the large-scale, low
surface brightness emission from the shocked cosmic web. The detected radio
emission will enable to constrain the average magnetisation level of the gas in
filaments and the acceleration efficiency of electrons by strong shocks. In
case of detections, through statistical modelling (e.g. correlation functions)
it will be possible to discriminate among competing scenarios for the
magnetisation of large-scale structures (i.e. astrophysical versus primordial
scenarios), making radio surveys an important probe of cosmic magnetogenesis.


title: Differentiation of the Cholesky decomposition

abstract:
  We review strategies for differentiating matrix-based computations, and
derive symbolic and algorithmic update rules for differentiating expressions
containing the Cholesky decomposition. We recommend new `blocked' algorithms,
based on differentiating the Cholesky algorithm DPOTRF in the LAPACK library,
which uses `Level 3' matrix-matrix operations from BLAS, and so is
cache-friendly and easy to parallelize. For large matrices, the resulting
algorithms are the fastest way to compute Cholesky derivatives, and are an
order of magnitude faster than the algorithms in common usage. In some
computing environments, symbolically-derived updates are faster for small
matrices than those based on differentiating Cholesky algorithms. The symbolic
and algorithmic approaches can be combined to get the best of both worlds.


title:
Trilateration-based reconstruction of ortho-positronium decays into
  three photons with the J-PET detector

abstract:
  This work reports on a new reconstruction algorithm allowing to reconstruct
the decays of ortho-positronium atoms into three photons using the places and
times of photons recorded in the detector. The method is based on trilateration
and allows for a simultaneous reconstruction of both location and time of the
decay. Results of resolution tests of the new reconstruction in the J-PET
detector based on Monte Carlo simulations are presented, which yield a spatial
resolution at the level of 2 cm (FWHM) for X and Y and at the level of 1 cm
(FWHM) for Z available with the present resolution of J-PET after application
of a kinematic fit. Prospects of employment of this method for studying angular
correlations of photons in decays of polarized ortho-positronia for the needs
of tests of CP and CPT discrete symmetries are also discussed. The new
reconstruction method allows for discrimination of background from random
three-photon coincidences as well as for application of a novel method for
determination of the linear polarization of ortho-positronium atoms, which is
also introduced in this work.


title: A distribution of energies of a charged black hole

abstract:
  We proposed a gravitational energy momentum tensor in previous paper. By
using it, we evaluate an electric and a gravitational energies in and out of an
event horizon of a charged black hole. There is no gravitational energy in the
event horizon as well as Schwarzschild black hole.


title: Unwinding of the twist-bend nematic structure under an external field

abstract:
  The recently discovered twist-bend nematic phase, $\rm N_{tb}$, is a
non-uniform equilibrium nematic phase that presents a spontaneous bend with a
precession of the nematic director, $\textbf{n}$, on a conical helix with a
tilt angle $\theta$ and helical pitch $P$. The stability of the $\rm N_{tb}$
phase has been recently demonstrated from the elastic point of view by
extending the Frank elastic energy density of the nematic phase to include the
symmetry element of helical axis, $\bf t$. In the present communication, we
investigate the influence of an external bulk field (magnetic or electric) on
the pitch of the $\rm N_{tb}$ phase. For a material with positive magnetic
susceptibility anisotropy, when the magnetic field $\bf{H}$ is parallel to the
helical axis, $\bf{t}$, the field modifies the coupling parameter between the
director and the helical axis, thus shifting the interval of values for which
this coupling results in the $\rm N_{tb}$ phase. If $\bf{H}$ is perpendicular
to $\bf{t}$, it is shown that the pitch of the nematic director $\bf n$
precession increases with $\bf{H}$, and at a critical value of $H_c$ it becomes
infinite as in a cholesteric liquid crystal, that is, one gets a uniform
orientation of n. Our results include the behaviour of a cholesteric under
field as a limiting case.


title: Is a complete, reduced set necessarily of constant width?

abstract:
  Is it true that a convex body $K$ being complete and reduced with respect to
some gauge body $C$ is necessarily of constant width, that is, satisfies
$K-K=\rho(C-C)$ for some $\rho>0$?
  We prove this implication for several cases including the following: if $K$
is a simplex and or if $K$ possesses a smooth extreme point, then the
implication holds. Moreover, we derive several new results on perfect norms.


title: A Note on Kernels, Images, and Cokernels in the Perverse Category

abstract:
  We discuss the relationship between kernels, images and cokernels of
morphisms between perverse sheaves and induced maps on stalk cohomology.


title:
5G 3GPP-like Channel Models for Outdoor Urban Microcellular and
  Macrocellular Environments

abstract:
  For the development of new 5G systems to operate in bands up to 100 GHz,
there is a need for accurate radio propagation models at these bands that
currently are not addressed by existing channel models developed for bands
below 6 GHz. This document presents a preliminary overview of 5G channel models
for bands up to 100 GHz. These have been derived based on extensive measurement
and ray tracing results across a multitude of frequencies from 6 GHz to 100
GHz, and this document describes an initial 3D channel model which includes: 1)
typical deployment scenarios for urban microcells (UMi) and urban macrocells
(UMa), and 2) a baseline model for incorporating path loss, shadow fading, line
of sight probability, penetration and blockage models for the typical
scenarios. Various processing methodologies such as clustering and antenna
decoupling algorithms are also presented.


title:
Zitterbewegung, internal momentum and spin of the circular travelling
  wave electromagnetic electron

abstract:
  The study of this paper demonstrates that electron has Dirac delta like
internal momentum (u,p_{{\theta}}), going round in a circle of radius equal to
half the reduced Compton wavelength of electron with tangential velocity c. The
circular momentum p_{{\theta}} and energy u emanate from circular Dirac delta
type rotating monochromatic electromagnetic (EM) wave that itself travels in
another circle having radius equal to the reduced Compton wavelength of
electron. The phenomenon of Zitterbewegung and the spin of electron are the
natural consequences of the model. The spin is associated with the internal
circulating momentum of electron in terms of four component spinor, which leads
to the Dirac equation linking the EM electron model with quantum mechanical
theory. Our model accurately explains the experimental results of electron
channelling experiment, [P. Catillon et al., Found.Phys. 38, 659 (2008)], in
which the momentum resonance is observed at 161.784MeV/c corresponding to
Zitterbewegung frequency of 80.874MeV/c electron beam.


title: SHAPE: Linear-Time Camera Pose Estimation With Quadratic Error-Decay

abstract:
  We propose a novel camera pose estimation or perspective-n-point (PnP)
algorithm, based on the idea of consistency regions and half-space
intersections. Our algorithm has linear time-complexity and a squared
reconstruction error that decreases at least quadratically, as the number of
feature point correspondences increase.
  Inspired by ideas from triangulation and frame quantisation theory, we define
consistent reconstruction and then present SHAPE, our proposed consistent pose
estimation algorithm. We compare this algorithm with state-of-the-art pose
estimation techniques in terms of accuracy and error decay rate. The
experimental results verify our hypothesis on the optimal worst-case quadratic
decay and demonstrate its promising performance compared to other approaches.


title: Towards Security of Additive Layer Manufacturing

abstract:
  Additive Layer Manufacturing (ALM), also broadly known as 3D printing, is a
new technology to produce 3D objects. As an opposite approach to the
conventional subtractive manufacturing process, 3D objects are created by
adding thin material layers over layers. Until recently, they have been used,
mainly, for plastic models. However, the technology has evolved making it
possible to use high-quality printing with metal alloys. Agencies and companies
like NASA, ESA, Boeing, Airbus, etc. are investigating various ALM technology
application areas. Recently, SpaceX used additive manufacturing to produce
engine chambers for the newest Dragon spacecraft. BAE System plans to print
on-demand a complete Unmanned Aerial Vehicle (UAV), depending on the
operational requirements. Companies expect the implementation of ALM technology
will bring a broad variety of technological and economic benefits. This
includes, but not limited to, the reduction of the time needed to produce
complex parts, reduction of wasted material and thus control of production
costs along with minimization of part storage space as companies implement
just-in-time and on-demand production solutions. The broad variety of
application areas and a high grade of computerization of the manufacturing
process will inevitably make ALM an attractive target for various attacks.


title: The local metric dimension of the lexicographic product of graphs

abstract:
  The metric dimension is quite a well-studied graph parameter. Recently, the
adjacency dimension and the local metric dimension have been introduced and
studied. In this paper, we give a general formula for the local metric
dimension of the lexicographic product $G \circ \mathcal{H}$ of a connected
graph $G$ of order $n$ and a family $\mathcal{H}$ composed by $n$ graphs. We
show that the local metric dimension of $G \circ \mathcal{H}$ can be expressed
in terms of the true twin equivalence classes of $G$ and the local adjacency
dimension of the graphs in $\mathcal{H}$.


title: Bipolar Neutrosophic Soft Expert Sets

abstract:
  In this paper, we define concept of bipolar neutrosophic soft expert set.
Also, its basic operations, namely complement, union and intersection. We give
examples for these concepts.


title:
A micromechanical proof-of-principle experiment for measuring the
  gravitational force of milligram masses

abstract:
  This paper addresses a simple question: how small can one make a
gravitational source mass and still detect its gravitational coupling to a
nearby test mass? We describe an experimental scheme based on micromechanical
sensing to observe gravity between milligram-scale source masses, thereby
improving the current smallest source mass values by three orders of magnitude
and possibly even more. We also discuss the implications of such measurements
both for improved precision measurements of Newton's constant and for a new
generation of experiments at the interface between quantum physics and gravity.


title:
Testing the tetraquark structure for the $X$ resonances in low-lying
  region

abstract:
  Assuming four-quark structure for the $X$ resonances in low-lying region, we
calculate their masses using the color-spin interaction. In specific, the
hyperfine masses of the color-spin interaction are calculated for the possible
states in spin-0, spin-1, spin-2 channels. The two states in spin-0 channel as
well as the two states in spin-1 channel are diagonalized in order to generate
the physical hyperfine masses. By matching the difference in hyperfine masses
with the splitting in corresponding hadron masses and using the $X(3872)$ mass
as an input, we estimate the masses corresponding to the states $J^{PC}=0^{++},
1^{+-},2^{++}$. We find the masses of two states in $1^{+-}$ are close to those
of $X(3823)$, $X(3900)$, and the mass of the $2^{++}$ state is close to that of
$X(3940)$. For them, the discrepancies are about $\sim 10$ MeV. This may
suggest that the quantum numbers of the controversial states are
$X(3823)=1^{+-}, X(3900)=1^{+-}, X(3940)=2^{++}$. In this work, we use the same
inputs parameters, the constituent quark masses and the strength of the
color-spin interaction, that have been adopted in the previous work on the $D$
or $B$-meson excited states. There, it was shown that the four-quark structure
can be manifested in their excited states. Thus, our results in this work
provide a consistent treatment on open- and hidden-charm mesons as far as the
four-quark model is concerned.


title: Partial Category Actions on Sets and Topological Spaces

abstract:
  We introduce (continuous) partial category actions on sets (topological
spaces) and show that each such action admits a universal globalization.
Thereby, we obtain a simultaneous generalization of corresponding results for
groups, by Kellendonk and Lawson, and for monoids, by Megrelishvili and
Schroder. We apply this result to the special case of partial groupoid actions
where we obtain a sharpening of a result by Gilbert, concerning ordered
groupoids, in the sense that mediating functions between universal
globalizations always are injective.


title: On the Accuracy of Point Localisation in a Circular Camera-Array

abstract:
  Although many advances have been made in light-field and camera-array image
processing, there is still a lack of thorough analysis of the localisation
accuracy of different multi-camera systems. By considering the problem from a
frame-quantisation perspective, we are able to quantify the point localisation
error of circular camera configurations. Specifically, we obtain closed form
expressions bounding the localisation error in terms of the parameters
describing the acquisition setup.
  These theoretical results are independent of the localisation algorithm and
thus provide fundamental limits on performance. Furthermore, the new
frame-quantisation perspective is general enough to be extended to more complex
camera configurations.


title:
Measurement of the $B_{s}^{0} \rightarrow D_{s}^{(*)+}D_{s}^{(*)-}$
  branching fractions

abstract:
  The branching fraction of the decay $B_{s}^{0} \rightarrow
D_{s}^{(*)+}D_{s}^{(*)-}$ is measured using $pp$ collision data corresponding
to an integrated luminosity of $1.0fb^{-1}$, collected using the LHCb detector
at a centre-of-mass energy of $7$TeV. It is found to be \begin{align*}
  {\mathcal{B}}(B_{s}^{0}\rightarrow~D_{s}^{(*)+}D_{s}^{(*)-}) = (3.05 \pm 0.10
\pm 0.20 \pm 0.34)\%, \end{align*} where the uncertainties are statistical,
systematic, and due to the normalisation channel, respectively. The branching
fractions of the individual decays corresponding to the presence of one or two
$D^{*\pm}_{s}$ are also measured. The individual branching fractions are found
to be \begin{align*}
  {\mathcal{B}}(B_{s}^{0}\rightarrow~D_{s}^{*\pm}D_{s}^{\mp}) = (1.35 \pm 0.06
\pm 0.09 \pm 0.15)\%,
  \newline{\mathcal{B}}(B_{s}^{0}\rightarrow~D_{s}^{*+}D_{s}^{*-}) = (1.27 \pm
0.08 \pm 0.10 \pm 0.14)\%. \end{align*} All three results are the most precise
determinations to date.


title:
Limits on Fast Radio Bursts and other transient sources at 182 MHz using
  the Murchison Widefield Array

abstract:
  We present a survey for transient and variable sources, on timescales from 28
seconds to $\sim$1 year, using the Murchison Widefield Array (MWA) at 182 MHz.
Down to a detection threshold of 0.285 Jy, no transient candidates were
identified, making this the most constraining low-frequency survey to date and
placing a limit on the surface density of transients of $<4.1 \times 10^{-7}$
deg$^{-2}$ for the shortest timescale considered. At these frequencies,
emission from Fast Radio Bursts (FRBs) is expected to be detectable in the
shortest timescale images without any corrections for interstellar or
intergalactic dispersion. At an FRB limiting flux density of 7980 Jy, we find a
rate of $<$82 FRBs per sky per day for dispersion measures $<$700 pc cm$^{-3}$.
Assuming a cosmological population of standard candles, our rate limits are
consistent with the FRB rates obtained by Thornton et al. (2013) if they have a
flat spectral slope. Finally, we conduct an initial variability survey of
sources in the field with flux densities $\gtrsim$0.5 Jy and identify no
sources with significant variability in their lightcurves. However, we note
that substantial further work is required to fully characterise both the short
term and low level variability within this field.


title:
Contact resistances in trigate and FinFET devices in a Non-Equilibrium
  Green's Functions approach

abstract:
  We compute the contact resistances $R_{\rm c}$ in trigate and FinFET devices
with widths and heights in the 4 to 24 nm range using a Non-Equilibrium Green's
Functions approach. Electron-phonon, surface roughness and Coulomb scattering
are taken into account. We show that $R_{\rm c}$ represents a significant part
of the total resistance of devices with sub-30 nm gate lengths. The analysis of
the quasi-Fermi level profile reveals that the spacers between the heavily
doped source/drain and the gate are major contributors to the contact
resistance. The conductance is indeed limited by the poor electrostatic control
over the carrier density under the spacers. We then disentangle the ballistic
and diffusive components of $R_{\rm c}$, and analyze the impact of different
design parameters (cross section and doping profile in the contacts) on the
electrical performances of the devices. The contact resistance and variability
rapidly increase when the cross sectional area of the channel goes below
$\simeq 50$ nm$^2$. We also highlight the role of the charges trapped at the
interface between silicon and the spacer material.


title:
Variational Principle for Gravity with Null and Non-null boundaries: A
  Unified Boundary Counter-term

abstract:
  It is common knowledge that the Einstein-Hilbert action does not furnish a
well-posed variational principle. The usual solution to this problem is to add
an extra boundary term to the action, called a counter-term, so that the
variational principle becomes well-posed. When the boundary is spacelike or
timelike, the Gibbons-Hawking-York counter-term is the most widely used. For
null boundaries, we had proposed a counter-term in a previous paper. In this
paper, we extend the previous analysis and propose a counter-term that can be
used to eliminate variations of the "off-the-surface" derivatives of the metric
on any boundary, regardless of its spacelike, timelike or null nature.


title:
Critical behavior of sputter-deposited magnetoelectric antiferromagnetic
  Cr$_2$O$_3$ films near N\'eel temperature

abstract:
  Chromium(III) oxide is a classical collinear antiferromagnet with a linear
magnetoelectric effect. We are presenting the measurements of the
magnetoelectric susceptibility $\alpha$ of a sputter-deposited 500-nm film and
a bulk single-crystal of Cr$_\mathrm{2}$O$_\mathrm{3}$. We investigated the
magnetic phase-transition and the critical exponent $\beta$ of the sublattice
magnetization near N\'eel temperature. For the films, an exponent of 0.49(1)
was found below 293 K, and changed to 1.06(4) near the N\'eel temperature of
298 K. For the single-crystal, the exponent was constant at 0.324(4). We
investigated the reversal probability of antiferromagnetic domains during
magnetoelectric field cooling. For the sputtered films, reversal probability
was zero above 298 K and stabilized only below 293 K. We attribute this
behavior to formation of grains during film growth, which gives different
intergrain and intragrain exchange-coupling energies. For the single-crystal,
reversal probability was stabilized immediately at the N\'eel temperature of
307.6 K.


title: Complex Evaluation of Hierarchically-Network Systems

abstract:
  Methods of complex evaluation based on local, forecasting, aggregated, and
interactive evaluation of the state, function quality, and interaction of
complex system's objects on the all hierarchical levels is proposed. Examples
of analysis of the structural elements of railway transport system are used for
illustration of efficiency of proposed approach.


title:
The Landau-Lifshitz equation of the ferromagnetic spin chain and
  Oseen-Frank flow

abstract:
  In this paper, we consider the Landau-Lifshitz equation of the ferromagnetic
spin chain from $\R^2$ to the unit sphere $S^2$ under the general Oseen-Frank
energy. We obtain global existence and uniqueness of weak solutions for large
energy data; moreover, the number of singular points is finite.


title: Numerical Diagnostics for Systems of Differential Algebraic Equations

abstract:
  In many commercial and academic settings, numerical solvers fail to achieve
their theoretical performance levels due to issues in the system definition,
parameterization, and even implementation. We propose a pair of methods for
detecting and localizing these convergence rate issues in applications that can
be treated as homotopy problems including numerical continuation and the
evolution of differential algebraic equations. Both approaches are rooted in
dynamical systems theory, in particular, the numerical techniques used to
perform bifurcation studies on "black-box" systems, and can be applied across a
range of numerical solvers and systems without significant modification. In a
general problem, these methods will detect certain classes of convergence
anomalies, and indicate the states that are affected by their existence.
However in applications like circuit simulation, certain classes of anomalies
can be localized to an individual component through the use of a small number
of additional computational experiments. To demonstrate the efficacy of the
approaches for detection and localization, we apply them to a pair of nonlinear
circuits: a diode bridge and a simplified model of a power channel


title: What Mathematical Logic Says about the Foundations of Mathematics

abstract:
  My purpose is to examine some concepts of mathematical logic, which have been
studied by Carlo Cellucci. Today the aim of classical mathematical logic is not
to guarantee the certainty of mathematics, but I will argue that logic can help
us to explain mathematical activity; the point is to discuss what and in which
sense logic can "explain". For example, let's consider the basic concept of an
axiomatic system: an axiomatic system can be very useful to organize, to
present, and to clarify mathematical knowledge. And, more importantly, logic is
a science with its own results: so, axiomatic systems are interesting also
because we know several revealing theorems about them. Similarly, I will
discuss other topics such as mathematical definitions, and some relationships
between mathematical logic and computer science. I will also consider these
subjects from an educational point of view: can logical concepts be useful in
teaching and learning elementary mathematics?


title: Un problema da discutere: un inganno con le percentuali

abstract: We discuss a non-intuitive situation concerning percentages.


title: Gli angoli alla base di un triangolo isoscele

abstract:
  This paper deals with the celebrated Euclidean theorem about isosceles
triangles, comparing different proofs.


title:
Un problema da discutere: una rappresentazione geometrica del teorema
  del coseno

abstract:
  We present, discuss and generalize an elegant geometrical proof of the law of
cosines, due to Al Cuoco.


title: Graphs of real functions with pathological behaviors

abstract:
  This paper deals with constructions and properties of unusual function from R
to R, as discontinuous additive functions and everywhere surjections.


title: Primitive sets of nonnegative matrices and synchronizing automata

abstract:
  A set of nonnegative matrices $\mathcal{M}=\{M_1, M_2, \ldots, M_k\}$ is
called primitive if there exist indices $i_1, i_2, \ldots, i_m$ such that
$M_{i_1} M_{i_2} \ldots M_{i_m}$ is positive (i.e. has all its entries $>0$).
The length of the shortest such product is called the exponent of
$\mathcal{M}$. The concept of primitive sets of matrices comes up in a number
of problems within control theory, non-homogeneous Markov chains, automata
theory etc. Recently, connections between synchronizing automata and primitive
sets of matrices were established. In the present paper, we significantly
strengthen these links by providing equivalence results, both in terms of
combinatorial characterization, and computational aspects. We study the maximal
exponent among all primitive sets of $n \times n$ matrices, which we denote by
$\exp(n)$. We prove that $\lim_{n\rightarrow\infty} \tfrac{\log \exp(n)}{n} =
\tfrac{\log 3}{3}$, and moreover, we establish that this bound leads to a
resolution of the \v{C}ern\'{y} problem for carefully synchronizing automata.
We also study the set of matrices with no zero rows and columns, denoted by
$\mathcal{NZ}$, due to its intriguing connections to the \v{C}ern\'{y}
conjecture and the recent generalization of Perron-Frobenius theory for this
class. We characterize computational complexity of different problems related
to the exponent of $\mathcal{NZ}$ matrix sets, and present a quadratic bound on
the exponents of sets belonging to a special subclass. Namely, we show that the
exponent of a set of matrices having total support is bounded by $2n^2 -5n +5$.


title: The Kelmans-Seymour conjecture II: 2-vertices in $K_4^-$

abstract:
  We use $K_4^-$ to denote the graph obtained from $K_4$ by removing an edge,
and use $TK_5$ to denote a subdivision of $K_5$. Let $G$ be a 5-connected
nonplanar graph and $\{x_1,x_2,y_1,y_2\}\subseteq V(G)$ such that
$G[\{x_1,x_2,$ $y_1,y_2\}]\cong K_4^-$ with $y_1y_2\notin E(G)$. Let
$w_1,w_2,w_3\in N(y_2)-\{x_1,x_2\}$ be distinct. We show that $G$ contains a
$TK_5$ in which $y_2$ is not a branch vertex, or $G-y_2$ contains $K_4^-$, or
$G$ has a special 5-separation, or $G-\{y_2v:v\notin \{w_1,w_2,w_3,x_1,x_2\}\}$
contains $TK_5$.


title:
The swept rule for breaking the latency barrier in time advancing
  two-dimensional PDEs

abstract:
  This article describes a method to accelerate parallel, explicit time
integration of two-dimensional unsteady PDEs. The method is motivated by our
observation that latency, not bandwidth, often limits how fast PDEs can be
solved in parallel. The method is called the swept rule of space-time domain
decomposition. Compared to conventional, space-only domain decomposition, it
communicates similar amount of data, but in fewer messages. The swept rule
achieves this by decomposing space and time among computing nodes in ways that
exploit the domains of influence and the domain of dependency, making it
possible to communicate once per many time steps with no redundant computation.
By communicating less often, the swept rule effectively breaks the latency
barrier, advancing on average more than one time step per ping-pong latency of
the network. The article presents simple theoretical analysis to the
performance of the swept rule in two spatial dimensions, and supports the
analysis with numerical experiments.


title: Regression of ranked responses when raw responses are censored

abstract:
  We discuss semiparametric regression when only the ranks of responses are
observed. The model is $Y_i = F (\mathbf{x}_i'{\boldsymbol\beta}_0 +
\varepsilon_i)$, where $Y_i$ is the unobserved response, $F$ is a monotone
increasing function, $\mathbf{x}_i$ is a known $p-$vector of covariates,
${\boldsymbol\beta}_0$ is an unknown $p$-vector of interest, and
$\varepsilon_i$ is an error term independent of $\mathbf{x}_i$. We observe
$\{(\mathbf{x}_i,R_n(Y_i)) : i = 1,\ldots ,n\}$, where $R_n$ is the ordinal
rank function. We explore a novel estimator under Gaussian assumptions. We
discuss the literature, apply the method to an Alzheimer's disease biomarker,
conduct simulation studies, and prove consistency and asymptotic normality.


title: Lattice-Boltzmann Hydrodynamics of Anisotropic Active Matter

abstract:
  A plethora of active matter models exist that describe the behavior of
self-propelled particles (or swimmers), both with and without hydrodynamics.
However, there are few studies that consider shape-anisotropic swimmers and
include hydrodynamic interactions. Here, we introduce a simple method to
simulate self-propelled colloids interacting hydrodynamically in a viscous
medium using the lattice-Boltzmann technique. Our model is based on
raspberry-type viscous coupling and a force/counter-force formalism which
ensures that the system is force free. We consider several anisotropic shapes
and characterize their hydrodynamic multipolar flow field. We demonstrate that
shape-anisotropy can lead to the presence of a strong quadrupole and octupole
moments, in addition to the principle dipole moment. The ability to simulate
and characterize these higher-order moments will prove crucial for
understanding the behavior of model swimmers in confining geometries.


title:
The Quantum-Classical Boundary for Precision Interferometric
  Measurements

abstract:
  Understanding the fundamental limits on the precision to which an optical
phase can be estimated is of key interest for many investigative techniques
utilized across science and technology. We study the estimation of a fixed
optical phase shift due to a sample which has an associated optical loss, and
compare phase estimation strategies using classical and non-classical probe
states. These comparisons are based on the attainable (quantum) Fisher
information calculated per number of photons absorbed or scattered by the
sample throughout the sensing process. We find that, for a given number of
incident photons upon the unknown phase, non-classical techniques in principle
provide less than a 20% reduction in root-mean-square-error (RMSE) in
comparison with ideal classical techniques in multi-pass optical setups. Using
classical techniques in a new optical setup we analyze, which incorporates
additional stages of interference during the sensing process, the achievable
reduction in RMSE afforded by non-classical techniques falls to only ~4%. We
explain how these conclusions change when non-classical techniques are compared
to classical probe states in non-ideal multi-pass optical setups, with
additional photon losses due to the measurement apparatus.


title: On a theory of light scattering from a Bose-Einstein condensate

abstract:
  We consider a quantum theory of elastic light scattering from macroscopic
atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following
to the second quantized formalism we introduce a set of coupled and closed
diagram equations for the polariton propagator contributing to the $T$ -matrix
and scattering amplitude. Our approach allows to follow important density
correction to the quasi-energy structure caused by static interaction and
radiation losses associated with incoherent scattering in the case of near
resonance excitation.


title:
Multilingual Twitter Sentiment Classification: The Role of Human
  Annotators

abstract:
  What are the limits of automated Twitter sentiment classification? We analyze
a large set of manually labeled tweets in different languages, use them as
training data, and construct automated classification models. It turns out that
the quality of classification models depends much more on the quality and size
of training data than on the type of the model trained. Experimental results
indicate that there is no statistically significant difference between the
performance of the top classification models. We quantify the quality of
training data by applying various annotator agreement measures, and identify
the weakest points of different datasets. We show that the model performance
approaches the inter-annotator agreement when the size of the training set is
sufficiently large. However, it is crucial to regularly monitor the self- and
inter-annotator agreements since this improves the training datasets and
consequently the model performance. Finally, we show that there is strong
evidence that humans perceive the sentiment classes (negative, neutral, and
positive) as ordered.


title: Non-linear modeling of the plasma response to RMPs in ASDEX Upgrade

abstract:
  The plasma response to Resonant Magnetic Perturbations (RMPs) in ASDEX
Upgrade is modeled with the non-linear resistive MHD code JOREK, using input
profiles that match those of the experiments as closely as possible. The RMP
configuration for which Edge Localized Modes are best mitigated in experiments
is related to the largest edge kink response observed near the X-point in
modeling. On the edge resonant surfaces $q = m/n$, the coupling between the m +
2 kink component and the m resonant component is found to induce the
amplification of the resonant magnetic perturbation. The ergodicity and the
3D-displacement near the X-point induced by the resonant amplification can only
partly explain the density pumpout observed in experiments.


title: Stochastic Shortest Path with Energy Constraints in POMDPs

abstract:
  We consider partially observable Markov decision processes (POMDPs) with a
set of target states and positive integer costs associated with every
transition. The traditional optimization objective (stochastic shortest path)
asks to minimize the expected total cost until the target set is reached. We
extend the traditional framework of POMDPs to model energy consumption, which
represents a hard constraint. The energy levels may increase and decrease with
transitions, and the hard constraint requires that the energy level must remain
positive in all steps till the target is reached. First, we present a novel
algorithm for solving POMDPs with energy levels, developing on existing POMDP
solvers and using RTDP as its main method. Our second contribution is related
to policy representation. For larger POMDP instances the policies computed by
existing solvers are too large to be understandable. We present an automated
procedure based on machine learning techniques that automatically extracts
important decisions of the policy allowing us to compute succinct human
readable policies. Finally, we show experimentally that our algorithm performs
well and computes succinct policies on a number of POMDP instances from the
literature that were naturally enhanced with energy levels.


title: Time and Activity Sequence Prediction of Business Process Instances

abstract:
  The ability to know in advance the trend of running process instances, with
respect to different features, such as the expected completion time, would
allow business managers to timely counteract to undesired situations, in order
to prevent losses. Therefore, the ability to accurately predict future features
of running business process instances would be a very helpful aid when managing
processes, especially under service level agreement constraints. However,
making such accurate forecasts is not easy: many factors may influence the
predicted features.
  Many approaches have been proposed to cope with this problem but all of them
assume that the underling process is stationary. However, in real cases this
assumption is not always true. In this work we present new methods for
predicting the remaining time of running cases. In particular we propose a
method, assuming process stationarity, which outperforms the state-of-the-art
and two other methods which are able to make predictions even with
non-stationary processes. We also describe an approach able to predict the full
sequence of activities that a running case is going to take. All these methods
are extensively evaluated on two real case studies.


title:
New Stability and Exact Observability Conditions for Semilinear Wave
  Equations

abstract:
  The problem of estimating the initial state of 1-D wave equations with
globally Lipschitz nonlinearities from boundary measurements on a finite
interval was solved recently by using the sequence of forward and backward
observers, and deriving the upper bound for exact observability time in terms
of Linear Matrix Inequalities (LMIs) [5]. In the present paper, we generalize
this result to n-D wave equations on a hypercube. This extension includes new
LMI-based exponential stability conditions for n-D wave equations, as well as
an upper bound on the minimum exact observability time in terms of LMIs. For
1-D wave equations with locally Lipschitz nonlinearities, we find an estimate
on the region of initial conditions that are guaranteed to be uniquely
recovered from the measurements. The efficiency of the results is illustrated
by numerical examples.


title:
A new S-type eigenvalue localization set for tensors and its
  applications

abstract:
  A new \emph{S}-type eigenvalue localization set for tensors is derived by
breaking $N=\{1,2,\cdots,n\}$ into disjoint subsets $S$ and its complement. It
is proved that this new set is tighter than those presented by Qi (Journal of
Symbolic Computation 40 (2005) 1302-1324), Li et al. (Numer. Linear Algebra
Appl. 21 (2014) 39-50) and Li et al. (Linear Algebra Appl. 493 (2016) 469-483).
As applications, checkable sufficient conditions for the positive definiteness
and the positive semi-definiteness of tensors are proposed. Moreover, based on
this new set, we establish a new upper bound for the spectral radius of
nonnegative tensors and a lower bound for the minimum \emph{H}-eigenvalue of
weakly irreducible strong \emph{M}-tensors in this paper. We demonstrate that
these bounds are sharper than those obtained by Li et al. (Numer. Linear
Algebra Appl. 21 (2014) 39-50) and He and Huang (J. Inequal. Appl. 114 (2014)
2014). Numerical examples are also given to illustrate this fact.


title: The catastrophic fragmentation of Comet 332P (Ikeya-Murakami)

abstract:
  We describe 2016 January to April observations of the fragments of
332P/Ikeya-Murakami, a comet earlier observed in a 2010 October outburst
(Ishiguro et al 2014). We present photometry of the fragments, and perform
simulations to infer the time of breakup. We argue that the eastern-most
rapidly brightening fragment ($F4$) best corresponds to the original nucleus,
rather than the initial bright fragment $F1$. We compute radial and tangential
non-gravitational parameters, $A_1 = (1.5 \pm 0.4) \times 10^{-8}$ AU
day$^{-2}$ and $(7.2 \pm 1.9) \times 10^{-9}$ AU day$^{-2}$; both are
consistent with zero at the $4\sigma$ level. Monte Carlo simulations indicate
that the fragments were emitted on the outbound journey well after the 2010
outburst, with bright fragment $F1$ splitting in mid--2013 and the fainter
fragments within months of the 2016 January recovery. Western fragment $F7$ is
the oldest, dating from 2011. We suggest that the delayed onset of the
splitting is consistent with a self-propagating crystallization of water ice.


title: Bayesian Exploration: Incentivizing Exploration in Bayesian Games

abstract:
  We consider a ubiquitous scenario in the Internet economy when individual
decision-makers (henceforth, agents) both produce and consume information as
they make strategic choices in an uncertain environment. This creates a
three-way tradeoff between exploration (trying out insufficiently explored
alternatives to help others in the future), exploitation (making optimal
decisions given the information discovered by other agents), and incentives of
the agents (who are myopically interested in exploitation, while preferring the
others to explore). We posit a principal who controls the flow of information
from agents that came before, and strives to coordinate the agents towards a
socially optimal balance between exploration and exploitation, not using any
monetary transfers. The goal is to design a recommendation policy for the
principal which respects agents' incentives and minimizes a suitable notion of
regret.
  We extend prior work in this direction to allow the agents to interact with
one another in a shared environment: at each time step, multiple agents arrive
to play a Bayesian game, receive recommendations, choose their actions, receive
their payoffs, and then leave the game forever. The agents now face two sources
of uncertainty: the actions of the other agents and the parameters of the
uncertain game environment.
  Our main contribution is to show that the principal can achieve constant
regret when the utilities are deterministic (where the constant depends on the
prior distribution, but not on the time horizon), and logarithmic regret when
the utilities are stochastic. As a key technical tool, we introduce the concept
of explorable actions, the actions which some incentive-compatible policy can
recommend with non-zero probability. We show how the principal can identify
(and explore) all explorable actions, and use the revealed information to
perform optimally.


title:
The role of grain dynamics in determining the onset of sediment
  transport

abstract:
  Sediment transport occurs when the nondimensional fluid shear stress $\Theta$
at the bed surface exceeds a minimum value $\Theta_c$. A large collection of
data, known as the Shields curve, shows that $\Theta_c$ is primarily a function
of the shear Reynolds number ${\rm{Re}}_*$. It is commonly assumed that
$\Theta>\Theta_c({\rm{Re}}_*)$ occurs when the ${\rm Re}_*$-dependent fluid
forces are too large to maintain static equilibrium for a typical surface
grain. A complimentary approach, which remains relatively unexplored, is to
identify $\Theta_c({\rm{Re}}_*)$ as the applied shear stress at which grains
cannot stop moving. With respect to grain dynamics, ${\rm{Re}}_*$ can be viewed
as the viscous time scale for a grain to equilibrate to the fluid flow divided
by the typical time for the fluid force to accelerate a grain over the
characteristic bed roughness. We performed simulations of granular beds sheared
by a model fluid, varying only these two time scales. We find that the critical
Shields number $\Theta_c({\rm Re}_*)$ obtained from the model mimics the
Shields curve and is insensitive to the grain properties, the model fluid flow,
and the form of the drag law. Quantitative discrepancies between the model
results and the Shields curve are consistent with previous calculations of lift
forces at varying ${\rm Re}_*$. Grains at low ${\rm Re}_*$ find more stable
configurations than those at high ${\rm{Re}}_*$ due to differences in the grain
reorganization dynamics. Thus, instead of focusing on mechanical equilibrium of
a typical grain at the bed surface, $\Theta_c({\rm{Re}}_*)$ may be better
described by the stress at which mobile grains cannot find a stable
configuration and stop moving.


title: Ultradense Word Embeddings by Orthogonal Transformation

abstract:
  Embeddings are generic representations that are useful for many NLP tasks. In
this paper, we introduce DENSIFIER, a method that learns an orthogonal
transformation of the embedding space that focuses the information relevant for
a task in an ultradense subspace of a dimensionality that is smaller by a
factor of 100 than the original space. We show that ultradense embeddings
generated by DENSIFIER reach state of the art on a lexicon creation task in
which words are annotated with three types of lexical information - sentiment,
concreteness and frequency. On the SemEval2015 10B sentiment analysis task we
show that no information is lost when the ultradense subspace is used, but
training is an order of magnitude more efficient due to the compactness of the
ultradense space.


title:
A straightforward method to assess motion blur for different types of
  displays

abstract:
  A simulation method based on the liquid crystal response and the human visual
system is suitable to characterize motion blur for LCDs but not other display
types. We propose a more straightforward and widely applicable method to
quantify motion blur based on the width of the moving object. We thus compare
various types of displays objectively. A perceptual experiment was conducted to
validate the proposed method. We test varying motion velocities for nine
commercial displays. We compare the three motion blur evaluation methods
(simulation, human perception, and our method) using z-scores. Our comparisons
indicate that our method accurately characterizes motion blur for various
display types.


title: Collider Tests of (Composite) Diphoton Resonances

abstract:
  We analyze the Large Hadron Collider sensitivity to new pseudoscalar
resonances decaying into diphoton with masses up to scales of few TeVs. We
focus on minimal scenarios where the production mechanisms involve either
photon or top-mediated gluon fusion, partially motivated by the tantalizing
excess around 750 GeV reported by ATLAS and CMS. The two scenarios lead
respectively to a narrow and a wide resonance. We first provide a
model-independent analysis via effective operators and then introduce minimal
models of composite dynamics where the diphoton channel is characterized by
their topological sector. The relevant state here is the pseudoscalar
associated with the axial anomaly of the new composite dynamics. If the
Standard Model top mass is generated via four-fermion operators the coupling of
this state to the top remarkably explains the wide-width resonance reported by
ATLAS. Beyond the excess, our analysis paves the way to test dynamical
electroweak symmetry breaking via topological sectors.


title: Non-dipolar Wilson links for quasi-parton distribution functions

abstract:
  We propose a modified definition for a quasi-parton distribution function
(QPDF) with an equal-time correlator in the large momentum limit, whose two
pieces of space-like Wilson links are oriented in orthogonal directions. It is
explicitly shown at one-loop level that the linear divergence in the original
QPDF with dipolar Wilson links, which complicates its matching to the standard
light-cone parton distribution function (LPDF), is removed. The LPDF can then
be extracted reliably from Euclidean lattice data for the QPDF with the
non-dipolar Wilson links.


title: Group Equivariant Convolutional Networks

abstract:
  We introduce Group equivariant Convolutional Neural Networks (G-CNNs), a
natural generalization of convolutional neural networks that reduces sample
complexity by exploiting symmetries. G-CNNs use G-convolutions, a new type of
layer that enjoys a substantially higher degree of weight sharing than regular
convolution layers. G-convolutions increase the expressive capacity of the
network without increasing the number of parameters. Group convolution layers
are easy to use and can be implemented with negligible computational overhead
for discrete groups generated by translations, reflections and rotations.
G-CNNs achieve state of the art results on CIFAR10 and rotated MNIST.


title: Interfacial and morphological features of a twist-bend nematic drop

abstract:
  In this experimental and theoretical study, we examine the equilibrium shapes
of quasitwo-dimensional twist-bend nematic (Ntb) drops formed within a planarly
aligned nematic layer of the liquid crystal CB7CB. Initially, at the setting
point of the Ntb phase, the drops assume a nonequilibrium cusped elliptical
geometry with the major axis orthogonal to the director of the surrounding
nematic fluid; this growth is governed principally by anisotropic heat
diffusion. The drops attain equilibrium through thermally driven dynamical
evolutions close to their melting temperature. They are associated with a
characteristic twin-striped morphology that transforms into the familiar focal
conic texture as the temperature is lowered. At equilibrium, large millimetric
drops are tactoidlike, elongated along the director of the surrounding nematic
fluid. This geometry is explained by a mathematical model that features two
dimensionless parameters, of which one is the structural cone angle of the Ntb
phase and the other, the relative strength of mismatch elastic energy at the
drop's interface. Both parameters are extracted from the observations by
measuring the aspect ratio of the equilibrium shapes and the inner corner angle
of the cusps.


title: An atomically thin matter-wave beamsplitter

abstract:
  Matter-wave interferometry has become an essential tool in studies on the
foundations of quantum physics and for precision measurements. Mechanical
gratings have played an important role as coherent beamsplitters for atoms,
molecules and clusters since the basic diffraction mechanism is the same for
all particles. However, polarizable objects may experience van der Waals shifts
when they pass the grating walls and the undesired dephasing may prevent
interferometry with massive objects. Here we explore how to minimize this
perturbation by reducing the thickness of the diffraction mask to its ultimate
physical limit, i.e. the thickness of a single atom. We have fabricated
diffraction masks in single-layer and bilayer graphene as well as in 1 nm thin
carbonaceous biphenyl membrane. We identify conditions to transform an array of
single layer graphene nanoribbons into a grating of carbon nanoscrolls. We show
that all these ultra-thin nanomasks can be used for high-contrast quantum
diffraction of massive molecules. They can be seen as a nanomechanical answer
to the question debated by Bohr and Einstein whether a softly suspended double
slit would destroy quantum interference. In agreement with Bohr's reasoning we
show that quantum coherence prevails even in the limit of atomically thin
gratings.


title:
Listen-and-Talk: Protocol Design and Analysis for Full-duplex Cognitive
  Radio Networks

abstract:
  In traditional cognitive radio networks, secondary users (SUs) typically
access the spectrum of primary users (PUs) by a two-stage "listen-before-talk"
(LBT) protocol, i.e., SUs sense the spectrum holes in the first stage before
transmitting in the second. However, there exist two major problems: 1)
transmission time reduction due to sensing, and 2) sensing accuracy impairment
due to data transmission. In this paper, we propose a "listen-and-talk" (LAT)
protocol with the help of full-duplex (FD) technique that allows SUs to
simultaneously sense and access the vacant spectrum. Spectrum utilization
performance is carefully analyzed, with the closed-form spectrum waste ratio
and collision ratio with the PU provided. Also, regarding the secondary
throughput, we report the existence of a tradeoff between the secondary
transmit power and throughput. Based on the power-throughput tradeoff, we
derive the analytical local optimal transmit power for SUs to achieve both high
throughput and satisfying sensing accuracy. Numerical results are given to
verify the proposed protocol and the theoretical results.


title:
Nucleation pathway and kinetics of phase-separating active Brownian
  particles

abstract:
  Suspensions of purely repulsive but self-propelled Brownian particles might
undergo phase separation, a phenomenon that strongly resembles the phase
separation of passive particles with attractions. Here we employ computer
simulations to study the nucleation kinetics and the microscopic pathway active
Brownian disks take in two dimensions when quenched from the homogeneous
suspension to propulsion speeds beyond the binodal. We find the same
qualitative behavior for the nucleation rate as a function of density as for a
passive suspension undergoing liquid-vapor separation, suggesting that the
scenario of an effective free energy also extends to the kinetics of phase
separation. We study the transition in more detail through a committor analysis
and find that transition states are best described by a combination of cluster
size and the radial polarization of particles in the cluster.


title:
Balloon Flight Test of a Compton Telescope Based on Scintillators with
  Silicon Photomultiplier Readouts

abstract:
  We present the results of the first high-altitude balloon flight test of a
concept for an advanced Compton telescope making use of modern scintillator
materials with silicon photomultiplier (SiPM) readouts. There is a need in the
fields of high-energy astronomy and solar physics for new medium-energy
gamma-ray (~0.4 - 10 MeV) detectors capable of making sensitive observations. A
fast scintillator- based Compton telescope with SiPM readouts is a promising
solution to this instrumentation challenge, since the fast response of the
scintillators permits the rejection of background via time-of-flight (ToF)
discrimination. The Solar Compton Telescope (SolCompT) prototype was designed
to demonstrate stable performance of this technology under balloon-flight
conditions. The SolCompT instrument was a simple two-element Compton telescope,
consisting of an approximately one-inch cylindrical stilbene crystal for a
scattering detector and a one-inch cubic LaBr3:Ce crystal for a calorimeter
detector. Both scintillator detectors were read out by 2 x 2 arrays of
Hamamatsu S11828-3344 MPPC devices. Custom front-end electronics provided
optimum signal rise time and linearity, and custom power supplies automatically
adjusted the SiPM bias voltage to compensate for temperature-induced gain
variations. A tagged calibration source, consisting of ~240 nCi of Co-60
embedded in plastic scintillator, was placed in the field of view and provided
a known source of gamma rays to measure in flight. The SolCompT balloon payload
was launched on 24 August 2014 from Fort Sumner, NM, and spent ~3.75 hours at a
float altitude of ~123,000 feet. The instrument performed well throughout the
flight. After correcting for small (~10%) residual gain variations, we measured
an in-flight ToF resolution of ~760 ps (FWHM). Advanced scintillators with SiPM
readouts continue to show great promise for future gamma-ray instruments.


title: Searching for spectroscopic binaries within transition disk objects

abstract:
  Transition disks (TDs) are intermediate stage circumstellar disks
characterized by an inner gap within the disk structure. To test whether these
gaps may have been formed by closely orbiting, previously undetected stellar
companions, we collected high-resolution optical spectra of 31 TD objects to
search for spectroscopic binaries (SBs). Twenty-four of these objects are in
Ophiuchus and seven are within the Coronet, Corona Australis, and Chameleon I
star-forming regions. We measured radial velocities for multiple epochs,
obtaining a median precision of 400 ms$^{-1}$. We identified double-lined SB
SSTc2d J163154.7-250324 in Ophiuchus, which we determined to be composed of a
K7($\pm$0.5) and a K9($\pm$0.5) star, with orbital limits of $a<$0.6 AU and
$P<$150 days. This results in an SB fraction of 0.04$^{+0.12}_{-0.03}$ in
Ophiuchus, which is consistent with other spectroscopic surveys of non-TD
objects in the region. This similarity suggests that TDs are not preferentially
sculpted by the presence of close binaries and that planet formation around
close binaries may take place over similar timescales to that around single
stars.


title:
Free algebras of discriminator varieties generated by finite algebras
  are atomic

abstract:
  We prove that all definable pre-orders are atomic, in a finitely generated
free algebra of a discriminator variety of finite similarity type which is
generated by its finite members.


title: The emergence of giant multicaloric phenomena near room temperature

abstract:
  Caloric responses (temperature changes) can be induced in solid-state
materials by applying external stimuli such as stress, pressure, and electric
and magnetic fields. The magnetic-field-stimulated response is called the
magnetocaloric effect, and materials that exhibit this property have long been
sought for applications in room temperature magnetic cooling due to their
potentially superior efficiency and low impact on the environment. Other
solid-state caloric phenomena are less developed, but are likewise under
intense investigation. Here we introduce a new material that not only displays
giant barocaloric (hydrostatic-pressure-induced) properties, but also a large
magnetocaloric response near room temperature. It is unprecedented that two
caloric effects of such extreme magnitude occur in the same material and at the
same temperature. These effects originate from a magnetostructural transition
and a magneto-volume (magnetostriction) effect where the volume change is large
enough to force the system from a localized ordered state into an itinerant
paramagnetic state.


title: Mapping toric varieties into low dimensional spaces

abstract:
  A smooth $d$-dimensional projective variety $X$ can always be embedded into
$2d+1$-dimensional space. In contrast, a singular variety may require an
arbitrary large ambient space. If we relax our requirement and ask only that
the map is injective, then any $d$-dimensional projective variety can be mapped
injectively to $2d+1$-dimensional projective space. A natural question then
arises: what is the minimal $m$ such that a projective variety can be mapped
injectively to $m$-dimensional projective space? In this paper we investigate
this question for normal toric varieties, with our most complete results being
for Segre-Veronese varieties.


title: A parsimonious theory of evidence-based choice

abstract:
  That an agent's possible evidential states form a Boolean algebra (on which
it is natural to define a probability measure) is an assertion that ideally
should be proved, rather than assumed, in justifying rational choice as a
representation of expected utility. A more parsimonious, axiomatic
characterization of evidence is provided here. Two primitive entities are
evidential states and a relation, more specific than, between evidential
states. The axioms specify that more-specific-than is a partial order, there is
a minimally specific e-state, and more-specific-than is a separative order.
Choice alternatives are another primitive entity. A plan is an assignment of a
choice alternative to each evidential state. In general, plans satisfying a
version of the sure-thing principle cannot be rationalized by expected utility.
But there is such a rationalization if the evidential structure is a tree.


title:
Blockmodels: A R-package for estimating in Latent Block Model and
  Stochastic Block Model, with various probability functions, with or without
  covariates

abstract:
  Analysis of the topology of a graph, regular or bipartite one, can be done by
clustering for regular ones or co-clustering for bipartite ones. The Stochastic
Block Model and the Latent Block Model are two models, which are very similar
for respectively regular and bipartite graphs, based on probabilistic models.
Initially developed for binary graphs, these models have been extended to
valued networks with optional covariates on the edges. This paper present a
implementation of a Variational EM algorithm for Stochastic Block Model and
Latent Block Model for some common probability functions, Bernoulli, Gaussian
and Poisson, without or with covariates, with some standard flavors, like
multivariate extensions. This implementation allow automatic group number
exploration and selection via the ICL criterion, and allow analyze networks
with thousands of nodes in a reasonable amount of time.


title: Evidence for a $B_s^0 \pi^\pm$ State

abstract:
  We report evidence of a narrow structure, $X(5568)$, in the decay sequence
$X(5568) \rightarrow B_s^0 \pi^{\pm}$, $B_s^0 \rightarrow J/\psi \phi$,
$J/\psi\rightarrow \mu^+ \mu^-$, $\phi \rightarrow K^+K^-$. This is evidence
for the first instance of a hadronic state with valence quarks of four
different flavors. The mass and natural width of this state are measured to be
$m = 5567.8 \pm 2.9 {\rm \thinspace (stat)} ^{+0.9}_{-1.9} {\rm \thinspace
(syst)}$ MeV/$c^2$ and $\Gamma = 21.9 \pm 6.4 {\rm \thinspace (stat)}
^{+5.0}_{-2.5} {\rm \thinspace (syst)} $ MeV/$c^2$. If the decay is $X(5568)
\rightarrow B_s^* \pi^{\pm} \rightarrow B_s^0 \gamma \pi^{\pm}$ with an unseen
$\gamma$, $m(X(5568))$ will be shifted up by $m(B_s^*) - m(B_s^0) \sim 49$
MeV/$c^2$. This measurement is based on $10.4~\rm{fb^{-1}}$ of $p \bar p $
collision data at $\sqrt{s}$ = 1.96 TeV collected by the D0 experiment at the
Fermilab Tevatron collider.


title: Structure of inactive states of a binary Lennard-Jones mixture

abstract:
  We study the structure of inactive states in a prototypical model glass, the
Kob-Andersen binary Lennard-Jones mixture. These inactive states are obtained
by transition path sampling and are at dynamical phase coexistence with an
active equilibrium state. Configurations in the inactive states are kinetically
stable and are located in deeper basins of the energy landscape than their
active counterparts. By analyzing trajectory-to-trajectory fluctuations within
the inactive state, we assess correlations between kinetic stability, energy
and other structural properties. We show that measures of local order
associated to stable local packings and bond-orientational order are weakly
correlated with energy and kinetic stability. We discuss what kinds of
structural measurement might capture the relevant dynamical features of the
inactive state.


title:
Geometry-Independent Determination of Radial Density Distributions in
  Molecular Cloud Cores and Other Astronomical Objects

abstract:
  We present a geometry-independent method for determining the shapes of radial
volume density profiles of astronomical objects whose geometries are unknown,
based on a single column density map. Such profiles are often critical to
understand the physics and chemistry of molecular cloud cores, in which star
formation takes place. The method presented here does not assume any geometry
for the object being studied, thus removing a significant source of bias.
Instead it exploits contour self-similarity in column density maps which
appears to be common in data for astronomical objects. Our method may be
applied to many types of astronomical objects and observable quantities so long
as they satisfy a limited set of conditions which we describe in detail. We
derive the method analytically, test it numerically, and illustrate its utility
using 2MASS-derived dust extinction in molecular cloud cores. While not having
made an extensive comparison of different density profiles, we find that the
overall radial density distribution within molecular cloud cores is adequately
described by an attenuated power law.


title:
Linear Modeling of a Flexible Substructure Actuated through
  Piezoelectric Components for Use in Integrated Control/Structure Design

abstract:
  This study presents a generic TITOP (Two-Input Two-Output Port) model of a
substructure actuated with embedded piezoelectric materials as actuators
(PEAs), previously modeled with the FE technique. This allows intuitive
assembly of actuated flexible substructures in large flexible multi-body
systems. The modeling technique is applied to an illustrative example of a
flexible beam with bonded piezoelectric strip and vibration attenuation of a
chain of flexible beams.


title:
Mean-variance risk-averse optimal control of systems governed by PDEs
  with random parameter fields using quadratic approximations

abstract:
  We present a method for optimal control of systems governed by partial
differential equations (PDEs) with uncertain parameter fields. We consider an
objective function that involves the mean and variance of the control
objective, leading to a risk-averse optimal control problem. To make the
problem tractable, we invoke a quadratic Taylor series approximation of the
control objective with respect to the uncertain parameter. This enables
deriving explicit expressions for the mean and variance of the control
objective in terms of its gradients and Hessians with respect to the uncertain
parameter. The risk-averse optimal control problem is then formulated as a
PDE-constrained optimization problem with constraints given by the forward and
adjoint PDEs defining these gradients and Hessians. The expressions for the
mean and variance of the control objective under the quadratic approximation
involve the trace of the (preconditioned) Hessian and are thus prohibitive to
evaluate. To address this, we employ trace estimators that only require a
modest number of Hessian-vector products. We illustrate our approach with two
problems: the control of a semilinear elliptic PDE with an uncertain boundary
source term, and the control of a linear elliptic PDE with an uncertain
coefficient field. For the latter problem, we derive adjoint-based expressions
for efficient computation of the gradient of the risk-averse objective with
respect to the controls. Our method ensures that the cost of computing the
risk-averse objective and its gradient with respect to the control, measured in
the number of PDE solves, is independent of the (discretized) parameter and
control dimensions, and depends only on the number of random vectors employed
in the trace estimation. Finally, we present a comprehensive numerical study of
an optimal control problem for fluid flow in a porous medium with uncertain
permeability field.