title:
Tractors and Twistors from conformal Cartan geometry: a gauge theoretic
  approach I. Tractors

abstract:
  Tractors and Twistors bundles both provide natural conformally covariant
calculi on $4D$-Riemannian manifolds. They have different origins but are
closely related, and usually constructed bottom-up from prolongation of
defining differential equations. We propose alternative top-down gauge
theoretic constructions starting from the conformal Cartan bundle and its
vectorial and spinorial associated bundles. Our key ingredient is the dressing
field method of gauge symmetry reduction, which allows to exhibit tractors and
twistors and their associated connections as gauge field of a non-standard kind
as far as Weyl rescaling symmetry is concerned. By which we mean that they
implement the gauge principle but are of a different geometric nature than the
well known differential geometric objects usually underlying gauge theories. We
provide the corresponding BRST treatment. The present paper deals with the case
of tractors while a companion paper deals with twistors.


title:
3D AMR simulations of the evolution of the diffuse gas cloud G2 in the
  Galactic Centre

abstract:
  With the help of 3D AMR hydrodynamical simulations we aim at understanding
G2's nature, recent evolution and fate in the coming years. By exploring the
possible parameter space of the diffuse cloud scenario, we find that a starting
point within the disc of young stars is favoured by the observations, which may
hint at G2 being the result of stellar wind interactions.


title:
Numerical stabilization of entanglement computation in auxiliary field
  quantum Monte Carlo simulations of interacting many-fermion systems

abstract:
  In the absence of a fermion sign problem, auxiliary field (or determinantal)
quantum Monte Carlo (DQMC) approaches have long been the numerical method of
choice for unbiased, large-scale simulations of interacting many-fermion
systems. More recently, the conceptual scope of this approach has been expanded
by introducing ingenious schemes to compute entanglement entropies within its
framework. On a practical level, these approaches however suffer from a variety
of numerical instabilities that have largely impeded their applicability. Here
we report on a number of algorithmic advances to overcome many of these
numerical instabilities and significantly improve the calculation of
entanglement measures in the zero-temperature projective DQMC approach,
ultimately allowing to reach similar system sizes as for the computation of
conventional observables. We demonstrate the applicability of this improved
DQMC approach by providing an entanglement perspective on the quantum phase
transition from a magnetically ordered Mott insulator to a band insulator in
the bilayer square lattice Hubbard model at half filling.


title:
Spatio-Temporal Imaging of the Acoustic Field Emitted by a Single Copper
  Nanowire Copper Nanowires Fabrication

abstract:
  The monochromatic and geometrically anisotropic acoustic field generated by
400 nm and 120 nm diameter copper nanowires simply dropped on a 10 $\mu$m
silicon membrane is investigated in transmission using three-dimensional
time-resolved femtosecond pump-probe experiments. Two pump-probe time-resolved
experiments are carried out at the same time on both side of the silicon
substrate. In reflection, the first radial breathing mode of the nanowire is
excited and detected. In transmission, the longitudinal and shear waves are
observed. The longitudinal signal is followed by a monochromatic component
associated with the relaxation of the nanowire's first radial breathing mode.
Finite Difference Time Domain (FDTD) simulations are performed and accurately
reproduce the diffracted field. A shape anisotropy resulting from the large
aspect ratio of the nanowire is detected in the acoustic field. The orientation
of the underlying nanowires is thus acoustically deduced.


title:
nIFTy galaxy cluster simulations V: Investigation of the Cluster Infall
  Region

abstract:
  We examine the properties of the galaxies and dark matter haloes residing in
the cluster infall region surrounding the simulated $\Lambda$CDM galaxy cluster
studied by Elahi et al. (2016) at z=0. The
$1.1\times10^{15}h^{-1}\text{M}_{\odot}$ galaxy cluster has been simulated with
eight different hydrodynamical codes containing a variety of hydrodynamic
solvers and subgrid schemes. All models completed a dark-matter only,
non-radiative and full-physics run from the same initial conditions. The
simulations contain dark matter and gas with mass resolution
$m_{\text{DM}}=9.01\times 10^8h^{-1}\text{M}_{\odot}$ and
$m_{\text{gas}}=1.9\times 10^8h^{-1}\text{M}_{\odot}$ respectively. We find
that the synthetic cluster is surrounded by clear filamentary structures that
contain ~60% of haloes in the infall region with mass ~$10^{12.5} - 10^{14}
h^{-1}\text{M}_{\odot}$, including 2-3 group-sized haloes ($>
10^{13}h^{-1}\text{M}_{\odot}$). However, we find that only ~10% of objects in
the infall region are subhaloes residing in haloes, which may suggest that
there is not much ongoing preprocessing occurring in the infall region at z=0.
By examining the baryonic content contained within the haloes, we also show
that the code-to-code scatter in stellar fraction across all halo masses is
typically ~2 orders of magnitude between the two most extreme cases, and this
is predominantly due to the differences in subgrid schemes and calibration
procedures that each model uses. Models that do not include AGN feedback
typically produce too high stellar fractions compared to observations by at
least ~1 order of magnitude.


title:
Quasinormal modes of BTZ black hole and Hawking-like radiation in
  graphene

abstract:
  The Ba\~{n}ados-Teitelboim-Zanelli (BTZ) black hole model corresponds to a
solution of (2+1)-dimensional Einstein gravity with negative cosmological
constant, and by a conformal rescaling its metric can be mapped onto the
hyperbolic pseudosphere surface (Beltrami trumpet) with negative curvature.
Beltrami trumpet shaped graphene sheets have been predicted to emit Hawking
radiation that is experimentally detectable by a scanning tunnelling
microscope. Here, for the first time we present an analytical algorithm that
allows variational solutions to the Dirac Hamiltonian of graphene
pseudoparticles in BTZ black hole gravitational field by using an approach
based on the formalism of pseudo-Hermitian Hamiltonians within a
discrete-basis-set method. We show that our model not only reproduces the exact
results for the real part of quasinormal mode frequencies of (2+1)-dimensional
spinless BTZ black hole, but also provides analytical results for the real part
of quasinormal modes of spinning BTZ black hole, and also offers some
predictions for the observable effects with a view to gravity-like phenomena in
a curved graphene sheet.


title: Memory in random bouncing ball dynamics

abstract:
  The bouncing of an inelastic ball on a vibrating plate is a popular model
used in various fields, from granular gases to nanometer-sized mechanical
contacts. For random plate motion, so far, the model has been studied using
Poincar{\'e} maps in which the excitation by the plate at successive bounces is
assumed to be a discrete Markovian (memoryless) process. Here, we investigate
numerically the behaviour of the model for continuous random excitations with
tunable correlation time. We show that the system dynamics are controlled by
the ratio of the Markovian mean flight time of the ball and the mean time
between successive peaks in the motion of the exciting plate. When this ratio,
which depends on the bandwidth of the excitation signal, exceeds a certain
value, the Markovian approach is appropriate; below, memory of preceding
excitations arises, leading to a significant decrease of the jump duration; at
the smallest values of the ratio, chattering occurs. Overall, our results open
the way for uses of the model in the low excitation regime, which is still
poorly understood.


title: A double-correlation tremor-location method

abstract:
  A double-correlation method is introduced to locate tremor sources based on
stacks of complex, doubly-correlated tremor records of multiple triplets of
seismographs back projected to hypothetical source locations in a geographic
grid. Peaks in the resulting stack of moduli are inferred source locations. The
stack of the moduli is a robust measure of energy radiated from a point source
or point sources even when the velocity information is imprecise. Application
to real data shows how double correlation focuses the source mapping compared
to the common single correlation approach. Synthetic tests demonstrate the
robustness of the method and its resolution limitations which are controlled by
the station geometry, the finite frequency of the signal, the quality of the
used velocity information and noise level. Both random noise and signal or
noise correlated at time shifts that are inconsistent with the assumed velocity
structure can be effectively suppressed. Assuming a surface-wave velocity, we
can constrain the source location even if the surface-wave component does not
dominate. The method can also in principle be used with body waves in three
dimensions, although this requires more data and seismographs placed near the
source for depth resolution.


title: Transport-entropy inequalities on locally acting groups of permutations

abstract:
  Following Talagrand's concentration results for permutations picked uniformly
at random from a symmetric group [Tal95], Luczak and McDiarmid have generalized
it to more general groups G of permutations which act suitably 'locally'. Here
we extend their results by setting transport-entropy inequalities on these
permutations groups. Talagrand and Luczak-Mc-Diarmid concentra- tion properties
are consequences of these inequalities. The results are also gen- eralised to a
larger class of measures including Ewens distributions of arbitrary parameter
$\theta$ on the symmetric group. By projection, we derive transport-entropy
inequalities for the uniform law on the slice of the discrete hypercube and
more generally for the multinomial law. These results are new examples, in
discrete setting, of weak transport-entropy inequalities introduced in
[GRST15], that con- tribute to a better understanding of the concentration
properties of measures on permutations groups. One typical application is
deviation bounds for the so- called configuration functions, such as the number
of cycles of given lenght in the cycle decomposition of a random permutation.


title:
Equivariant cohomology of cohomogeneity one actions: the topological
  case

abstract:
  We show that for any cohomogeneity one continuous action of a compact
connected Lie group $G$ on a closed topological manifold the equivariant
cohomology equipped with its canonical $H^*(BG)$-module structure is
Cohen-Macaulay. The proof relies on the structure theorem for these actions
recently obtained by Galaz-Garcia and Zarei. We generalize in this way our
previous result concerning smooth actions.


title:
Language as a Latent Variable: Discrete Generative Models for Sentence
  Compression

abstract:
  In this work we explore deep generative models of text in which the latent
representation of a document is itself drawn from a discrete language model
distribution. We formulate a variational auto-encoder for inference in this
model and apply it to the task of compressing sentences. In this application
the generative model first draws a latent summary sentence from a background
language model, and then subsequently draws the observed sentence conditioned
on this latent summary. In our empirical evaluation we show that generative
formulations of both abstractive and extractive compression yield
state-of-the-art results when trained on a large amount of supervised data.
Further, we explore semi-supervised compression scenarios where we show that it
is possible to achieve performance competitive with previously proposed
supervised models while training on a fraction of the supervised data.


title: 3D AMR simulations of G2 as an outflow

abstract:
  We study the evolution of G2 in a \textit{Compact Source Scenario}, where G2
is the outflow from a low-mass central star moving on the observed orbit. This
is done through 3D AMR simulations of the hydrodynamic interaction of G2 with
the surrounding hot accretion flow. A comparison with observations is done by
means of mock position-velocity (PV) diagrams. We found that a massive
($\dot{M}_\mathrm{w}=5\times 10^{-7} \;M_{\odot} \; \mathrm{yr^{-1}}$) and slow
($v_\mathrm{w}=50 \;\mathrm{km\; s^{-1}}$) outflow can reproduce G2's
properties. A faster outflow ($v_\mathrm{w}=400 \;\mathrm{km\; s^{-1}}$) might
also be able to explain the material that seems to follow G2 on the same orbit.


title: Equidistribution in S-arithmetic and adelic spaces

abstract:
  We give an introduction to adelic mixing and its applications for
mathematicians knowing about the mixing of the geodesic flow on hyperbolic
surfaces. We focus on the example of the Hecke trees in the modular surface.


title:
Influence of heavy metal materials on magnetic properties of Pt/Co/heavy
  metal tri-layered structures

abstract:
  Pt/Co/heavy metal (HM) tri-layered structures with interfacial perpendicular
magnetic anisotropy (PMA) are currently under intensive research for several
emerging spintronic effects, such as spinorbit torque, domain wall motion, and
room temperature skyrmions. HM materials are used as capping layers to generate
the structural asymmetry and enhance the interfacial effects. For instance, the
Pt/Co/Ta structure attracts a lot of attention as it may exhibit large
Dzyaloshinskii-Moriya interaction. However, the dependence of magnetic
properties on different capping materials has not been systematically
investigated. In this paper, we experimentally show the interfacial PMA and
damping constant for Pt/Co/HM tri-layered structures through time-resolved
magneto-optical Kerr effect measurements as well as magnetometry measurements,
where the capping HM materials are W, Ta, and Pd. We found that the Co/HM
interface plays an important role on the magnetic properties. In particular,
the magnetic multilayers with a W capping layer features the lowest effective
damping value, which may be attributed to the different spin-orbit coupling and
interfacial hybridization between Co and HM materials. Our findings allow a
deep understanding of the Pt/Co/HM tri-layered structures. Such structures
could lead to a better era of data storage and processing devices.


title:
Deformation of hyperbolic manifolds in $\mathrm {PGL}(n,\mathbf {C})$
  and discreteness of the peripheral representations

abstract:
  Let $ M$ be a cusped hyperbolic $ 3$-manifold, e.g. a knot complement.
Thurston showed that the space of deformations of its fundamental group in $
\mathrm {PGL}(2,\mathbf {C})$ (up to conjugation) is of complex dimension the
number $ \nu $ of cusps near the hyperbolic representation. It seems natural to
ask whether some representations remain discrete after deformation. The answer
is generically not. A simple reason for it lies inside the cusps: the
degeneracy of the peripheral representation (i.e. representations of
fundamental groups of the $ \nu $ peripheral tori). They indeed generically
become non-discrete, except for a countable set. This last set corresponds to
hyperbolic Dehn surgeries on $ M$, for which the peripheral representation is
no more faithful.We work here in the framework of $ \mathrm {PGL}(n,\mathbf
{C})$. The hyperbolic structure lifts, via the $ n$-dimensional irreducible
representation, to a representation $ \rho \_{\mathrm {geom}}$. We know from
the work of Menal-Ferrer and Porti that the space of deformations of $ \rho
\_{\textrm {geom}}$ has complex dimension $ (n-1)\nu $.We prove here that,
unlike the $ \mathrm {PGL}(2)$-case, the generic behaviour becomes the
discreteness (and faithfulness) of the peripheral representation: in a
neighbourhood of the geometric representation, the non-discrete peripheral
representations are contained in a real analytic subvariety of codimension $
\geq 1$.


title: On Gravitational Chirality as the Genesis of Astrophysical Jets

abstract:
  It has been suggested that single and double jets observed emanating from
certain astrophysical objects may have a purely gravitational origin. We
discuss new classes of plane-fronted and pulsed gravitational wave solutions to
the equation for perturbations of Ricci-flat spacetimes around Minkowski
metrics, as models for the genesis of such phenomena. These solutions are
classified in terms of their chirality and generate a family of non-stationary
spacetime metrics. Particular members of these families are used as backgrounds
in analysing time-like solutions to the geodesic equation for test particles.
They are found numerically to exhibit both single and double jet-like features
with dimensionless aspect ratios suggesting that it may be profitable to
include such backgrounds in simulations of astrophysical jet dynamics from
rotating accretion discs involving electromagnetic fields.


title: Optimal Control Problems in Transport Dynamics

abstract:
  In the present paper we deal with an optimal control problem related to a
model in population dynamics; more precisely, the goal is to modify the
behavior of a given density of individuals via another population of agents
interacting with the first. The cost functional to be minimized to determine
the dynamics of the second population takes into account the desired target or
configuration to be reached as well as the quantity of control agents. Several
applications may fall into this framework, as for instance driving a mass of
pedestrian in (or out of) a certain location; influencing the stock market by
acting on a small quantity of key investors; controlling a swarm of unmanned
aerial vehicles by means of few piloted drones.


title: Sparse Control of Multiagent Systems

abstract:
  In recent years, numerous studies have focused on the mathematical modeling
of social dynamics, with self-organization, i.e., the autonomous pattern
formation, as the main driving concept. Usually, first or second order models
are employed to reproduce, at least qualitatively, certain global patterns
(such as bird flocking, milling schools of fish or queue formations in
pedestrian flows, just to mention a few). It is, however, common experience
that self-organization does not always spontaneously occur in a society. In
this review chapter we aim to describe the limitations of decentralized
controls in restoring certain desired configurations and to address the
question of whether it is possible to externally and parsimoniously influence
the dynamics to reach a given outcome. More specifically, we address the issue
of finding the sparsest control strategy for finite agent-based models in order
to lead the dynamics optimally towards a desired pattern.


title:
GaiaNIR: Combining optical and Near-Infra-Red (NIR) capabilities with
  Time-Delay-Integration (TDI) sensors for a future Gaia-like mission

abstract:
  ESA recently called for new "Science Ideas" to be investigated in terms of
feasibility and technological developments -- for technologies not yet
sufficiently mature. These ideas may in the future become candidates for M or L
class missions within the ESA Science Program.
  With the launch of Gaia in December 2013, Europe entered a new era of space
astrometry following in the footsteps of the very successful Hipparcos mission
from the early 1990s. Gaia is the successor to Hipparcos, both of which
operated in optical wavelengths, and Gaia is two orders of magnitude more
accurate in the five astrometric parameters and is surveying four orders of
magnitude more stars in a vast volume of the Milky Way. The combination of the
Hipparcos/Tycho-2 catalogues with the first early Gaia data release will give
improved proper motions over a long ~25 year baseline. The final Gaia solution
will also establish a new optical reference frame by means of quasars, by
linking the optical counterparts of radio (VLBI) sources defining the
orientation of the reference frame, and by using the zero proper motion of
quasars to determine a non-rotating frame.
  A weakness of Gaia is that it only operates at optical wavelengths. However,
much of the Galactic centre and the spiral arm regions, important for certain
studies, are obscured by interstellar extinction and this makes it difficult
for Gaia to deeply probe. Traditionally, this problem is overcome by switching
to the infra-red but this was not possible with Gaia's CCDs. Additionally, to
scan the entire sky and make global absolute parallax measurements the
spacecraft must have a constant rotation and this requires that the CCDs
operate in TDI mode, increasing their complexity.


title:
Comparative analysis of anisotropic material properties of uniaxial
  nematics formed by flexible dimers and rod-like monomers

abstract:
  We report temperature dependencies of material properties such as dielectric
anisotropy, birefringence, splay (K11), twist (K22), and bend (K33) elastic
constants of the uniaxial nematic (N) phase formed by flexible dimers of DTC5C9
and compare their behavior to that of a corresponding monomer MCT5. DTC5C9
forms a twist-bend nematic (Ntb) at temperatures below the N phase. Anisotropic
properties of MCT5 are typical of the rod-like mesogens. In particular,
birefringence increases as the temperature is reduced, following the classic
behavior, described by Haller. The elastic constants also follow the standard
behavior, with their ratios being practically temperature-independent. In
contrast, DTC5C9 shows a dramatic departure from the standard case.
Birefringence changes non-monotonously with temperature, decreasing on
approaching the N-Ntb phase transition. decreases strongly to 0.4 pN near the N
- Ntb transition, although remains finite. The ratios of the elastic constants
in DTC5C9 show a strong temperature dependence that can be associated with the
bend-induced changes in the orientational distribution function. The measured
elastic properties are consistent with the tendency of the dimeric molecules to
adopt bent configurations that give rise to the Ntb phase.


title: Verlinde-type formulas for rational surfaces

abstract:
  K-theoretic Donaldson invariants are holomorphic Euler characteristics of
determinant line bundles on moduli spaces of rank 2 sheaves on surfaces. We
develop an algorithm which determines the generating functions of K-theoretic
Donaldson invariants on the projective plane and more generally rational
surfaces, and apply it in many cases to get explicit formulas. We relate the
results to Le Potier's strange duality conjecture.


title:
Printable Nanoscopic Metamaterial Absorbers and Images with
  Diffraction-Limited Resolution

abstract:
  The fabrication of functional metamaterials with extreme feature resolution
finds a host of applications such as the broad area of surface/light
interaction. Non-planar features of such structures can significantly enhance
their performance and tunability, but their facile generation remains a
challenge. Here, we show that carefully designed out-of-plane nanopillars made
of metal-dielectric composites integrated in a metal-dielectric-nanocomposite
configuration, can absorb broadband light very effectively. We further
demonstrate that electrohydrodynamic printing in a rapid nanodripping mode, is
able to generate precise out-of-plane forests of such composite nanopillars
with deposition resolutions at the diffraction limit on flat and non-flat
substrates. The nanocomposite nature of the printed material allows the
fine-tuning of the overall visible light absorption from complete absorption to
complete reflection by simply tuning the pillar height. Almost perfect
absorption (~95%) over the entire visible spectrum is achieved by a nanopillar
forest covering only 6% of the printed area. Adjusting the height of individual
pillar groups by design, we demonstrate on-demand control of the gray scale of
a micrograph with a spatial resolution of 400 nm. These results constitute a
significant step forward in ultra-high resolution facile fabrication of
out-of-plane nanostructures, important to a broad palette of light design
applications. nanostructures, important to a broad palette of light design
applications.


title: RNA as a Nanoscale Data Transmission Medium: Error Analysis

abstract:
  RNA can be used as a high-density medium for data storage and transmission;
however, an important RNA process -- replication -- is noisy. This paper
presents an error analysis for RNA as a data transmission medium, analyzing how
deletion errors increase in a collection of replicated DNA strands over time.


title:
Semiparametric clustered overdispersed multinomial goodness-of-fit of
  log-linear models

abstract:
  Traditionally, the Dirichlet-multinomial distribution has been recognized as
a key model for contingency tables generated by cluster sampling schemes. There
are, however, other possible distributions appropriate for these contingency
tables. This paper introduces new test-statistics capable to test log-linear
modeling hypotheses with no distributional specification, when the individuals
of the clusters are possibly homogeneously correlated. The estimator for the
intracluster correlation coefficient proposed in Alonso-Revenga et al. (2016),
valid for different cluster sizes, plays a crucial role in the construction of
the goodness-of-fit test-statistic.


title: Pointwise estimates of pseudo-differential operators

abstract:
  As a new technique it is shown how general pseudo-differential operators can
be estimated at arbitrary points in Euclidean space when acting on functions
$u$ with compact spectra. The estimate is a factorisation inequality, in which
one factor is the Peetre--Fefferman--Stein maximal function of $u$, whilst the
other is a symbol factor carrying the whole information on the symbol. The
symbol factor is estimated in terms of the spectral radius of $u$, so that the
framework is well suited for Littlewood--Paley analysis. It is also shown how
it gives easy access to results on polynomial bounds and estimates in $L_p$,
including a new result for type $1,1$-operators that they are always bounded on
$L_p$-functions with compact spectra.


title:
Relaxation of quantum dots in a magnetic field at finite bias -- charge,
  spin and heat currents

abstract:
  We perform a detailed study of the effect of finite bias and magnetic field
on the tunneling-induced decay of the state of a quantum dot by applying a
recently discovered general duality [PRB 93, 81411 (2016)]. This duality
provides deep physical insight into the decay dynamics of electronic open
quantum systems with strong Coulomb interaction. It associates the amplitudes
of decay eigenmodes of the actual system to the eigenmodes of a so-called dual
system with attractive interaction. Thereby, it predicts many surprising
features in the transient transport and its dependence on experimental control
parameters: the attractive interaction of the dual model shows up as sharp
features in the amplitudes of measurable time-dependent currents through the
actual repulsive system. In particular, for interacting quantum dots, the
time-dependent heat current exhibits a decay mode that dissipates the
interaction energy and that is tied to the fermion parity of the system. We
show that its decay amplitude has an unexpected gate-voltage dependence that is
robust up to sizable bias voltages and then bifurcates, reflecting that the
Coulomb blockade is lifted in the dual system. Furthermore, combining our
duality relation with the known Iche-duality, we derive new symmetry properties
of the decay rates as a function of magnetic field and gate voltage. Finally,
we quantify charge- and spin-mode mixing due to the magnetic field using a
single mixing parameter.


title:
Estimating Probability Distributions using "Dirac" Kernels (via
  Rademacher-Walsh Polynomial Basis Functions)

abstract:
  In many applications (in particular information systems, such as pattern
recognition, machine learning, cheminformatics, bioinformatics to name but a
few) the assessment of uncertainty is essential - i.e., the estimation of the
underlying probability distribution function. More often than not, the form of
this function is unknown and it becomes necessary to non-parametrically
construct/estimate it from a given sample. One of the methods of choice to
non-parametrically estimate the unknown probability distribution function for a
given random variable (defined on binary space) has been the expansion of the
estimation function in Rademacher-Walsh Polynomial basis functions. In this
paper we demonstrate that the expansion of the probability distribution
function estimation in Rademacher-Walsh Polynomial basis functions is
equivalent to the expansion of the function estimation in a set of "Dirac
kernel" functions. The latter approach can ameliorate the computational
bottleneck and notational awkwardness often associated with the
Rademacher-Walsh Polynomial basis functions approach, in particular when the
binary input space is large.


title:
The nuclear modification of charged particles in Pb-Pb at
  $\sqrt{\text{s}_\text{NN}} = \text{5.02}\,\text{TeV}$ measured with ALICE

abstract:
  The study of inclusive charged-particle production in heavy-ion collisions
provides insights into the density of the medium and the energy-loss
mechanisms. The observed suppression of high-$\textit{p}_\text{T}$ yield is
generally attributed to energy loss of partons as they propagate through a
deconfined state of quarks and gluons - Quark-Gluon Plasma (QGP) - predicted by
QCD. Such measurements allow the characterization of the QGP by comparison with
models. In these proceedings, results on high-$\textit{p}_\text{T}$ particle
production measured by ALICE in Pb-Pb collisions at $
\sqrt{\text{s}_\text{NN}}\, = 5.02\ \rm{TeV}$ as well as well in pp at
$\sqrt{\text{s}}\,=5.02\ \rm{TeV}$ are presented for the first time. The
nuclear modification factors ($\text{R}_\text{AA}$) in Pb-Pb collisions are
presented and compared with model calculations.


title: On rotated Schur-positive sets

abstract:
  The problem of finding Schur-positive sets of permutations, originally posed
by Gessel and Reutenauer, has seen some recent developments. Schur-positive
sets of pattern-avoiding permutations have been found by Sagan et al and a
general construction based on geometric operations on grid classes has been
given by the authors. In this paper we prove that horizontal rotations of
Schur-positive subsets of permutations are always Schur-positive. The proof
applies a cyclic action on standard Young tableaux of certain skew shapes and a
jeu-de-taquin type straightening algorithm. As a consequence of the proof we
obtain a notion of cyclic descent set on these tableaux, which is rotated by
the cyclic action on them.


title:
Entanglement and nonclassicality in four-mode Gaussian states generated
  via parametric down-conversion and frequency up-conversion

abstract:
  Multipartite entanglement and nonclassicality of four-mode Gaussian states
generated in two simultaneous nonlinear processes involving parametric
down-conversion and frequency up-conversion are analyzed assuming the vacuum as
the initial state. Suitable conditions for the generation of highly entangled
states are found. Transfer of the entanglement from the down-converted modes
into the up-converted ones is also suggested. The analysis of the whole set of
states reveals that sub-shot-noise intensity correlations between the
equally-populated down-converted modes, as well as the equally-populated
up-converted modes, uniquely identify entangled states. They represent a
powerful entanglement identifier also in other cases with arbitrarily populated
modes.


title:
Maximal Sobolev regularity for solutions of elliptic equations in Banach
  spaces endowed with a weighted Gaussian measure: the convex subset case

abstract:
  Let $X$ be a separable Banach space endowed with a non-degenerate centered
Gaussian measure $\mu$. The associated Cameron--Martin space is denoted by $H$.
Consider two sufficiently regular convex functions $U:X\rightarrow\mathbb{R}$
and $G:X\rightarrow \mathbb{R}$. We let $\nu=e^{-U}\mu$ and
$\Omega=G^{-1}(-\infty,0]$. In this paper we are interested in the $W^{2,2}$
regularity of the weak solutions of elliptic equations of the type
\begin{align}\label{Probelma in abstract} \lambda u-L_{\nu,\Omega} u=f,
\end{align} where $\lambda>0$, $f\in L^2(\Omega,\nu)$ and $L_{\nu,\Omega}$ is
the self-adjoint operator associated with the quadratic form
\[(\psi,\phi)\mapsto
\int_\Omega\langle\nabla_H\psi,\nabla_H\phi\rangle_Hd\nu\qquad\psi,\phi\in
W^{1,2}(\Omega,\nu).\] In addition we will show that if $u$ is a weak solution
of problem $\lambda u-L_{\nu,\Omega} u=f$, with $\lambda>0$ and $f\in
L^2(\Omega,\nu)$, then it satisfies a Neumann type condition at the boundary,
namely for $\rho$-a.e. $x\in G^{-1}(0)$
\[\left\langle\,\text{Tr}\,(\nabla_Hu)(x),\,\text{Tr}\,(\nabla_H
G)(x)\right\rangle_H=0,\] where $\rho$ is the Feyel--de La Pradelle
Hausdorff--Gauss surface measure and $\text{Tr}$ is the trace operator.


title: Observing quantum chaos with noisy measurements and highly mixed states

abstract:
  A fundamental requirement for the emergence of classical behavior from an
underlying quantum description is that certain observed quantum systems make a
transition to chaotic dynamics as their action is increased relative to
$\hbar$. While experiments have demonstrated some aspects of this transition,
the emergence of quantum trajectories with a positive Lyapunov exponent has
never been observed directly. Here, we remove a major obstacle to achieving
this goal by showing that, for the Duffing oscillator, the transition to a
positive Lyapunov exponent can be resolved clearly from observed trajectories
even with measurement efficiencies as low as 20%. We also find that the
positive Lyapunov exponent is robust to highly mixed, low purity states and to
variations in the parameters of the system.


title: Implicit renewal theory in the arithmetic case

abstract:
  We extend Goldie's implicit renewal theorem to the arithmetic case, which
allows us to determine the tail behavior of the solution of various random
fixed point equations. It turns out that the arithmetic and nonarithmetic cases
are very different. Under appropriate conditions we obtain that the tail of the
solution $X$ of the fixed point equations $X \stackrel{\mathcal{D}}{=} AX + B$,
$X \stackrel{\mathcal{D}}{=} AX \vee B$ is $\ell (x) q(x) x^{-\kappa}$, where
$q$ is a logarithmically periodic function $q(x e^h) = q(x)$, $x > 0$, with $h$
being the span of the arithmetic distribution of $\log A$, and $\ell$ is a
slowly varying function. In particular, the tail is not necessarily regularly
varying. We use the renewal theoretic approach developed by Grincevi\v{c}ius
and Goldie.


title:
Change of surface critical current in the surface superconductivity and
  mixed states of superconducting Niobium

abstract:
  A systematic study of irreversible magnetization was performed in bulk
Niobium after different surface treatments. Starting with smooth surfaces and
abrading them, a strong increase of the critical current is observed up an
apparent limiting value. An impressive change of the critical current is also
observed in the surface superconductivity (SSC) state, reaching values of the
same order of magnitude as in the mixed state. We explain also the observation
of strong SSC for magnetic field perpendicular to larges facets in terms of
nucleation of SC along bumps of a corrugated surface.


title:
A supersymmetric exotic field theory in (1+1) dimensions. One loop
  soliton quantum mass corrections

abstract:
  We consider one loop quantum corrections to soliton mass for the ${\cal N}=1$
supersymmetric extension of the (1+1)-dimensional scalar field theory with the
potential $U(\phi) = \phi^2 \cos^2\left(\ln \phi^2\right)$. First, we compute
the one loop quantum soliton mass correction of the bosonic sector. To do that,
we regularize implicitly such quantity by subtracting and adding its
corresponding tadpole graph contribution, and use the renormalization
prescription that the added term vanishes with the corresponding counterterms.
As a result we get a finite unambiguous formula for the soliton quantum mass
corrections up to one loop order. Afterwards, the computation for the
supersymmetric case is extended straightforwardly and we obtain for the one
loop quantum correction of the SUSY kink mass the expected value previously
derived for the SUSY sine-Gordon and $\phi^4$ models. However, we also have
found that for a particular value of the parameters, contrary to what was
expected, the introduction of supersymmetry in this model worsens ultraviolet
divergences rather than improving them.


title:
A short review and primer on eye tracking in human computer interaction
  applications

abstract:
  The application of psychophysiologicy in human-computer interaction is a
growing field with significant potential for future smart personalised systems.
Working in this emerging field requires comprehension of an array of
physiological signals and analysis techniques.
  Eye tracking is a widely used method for tracking user attention with gaze
location, but also provides information on the internal cognitive and
contextual state, intention, and the locus of the user's visual attention in
interactive settings through a number of eye and eyelid movement related
parameters. This paper presents a short review on the application of eye
tracking in human-computer interaction.
  This paper aims to serve as a primer for the novice, enabling rapid
familiarisation with the latest core concepts. We put special emphasis on
everyday human-computer interface applications to distinguish from the more
common clinical or sports uses of psychophysiology.
  This paper is an extract from a comprehensive review of the entire field of
ambulatory psychophysiology, including 12 similar chapters, plus application
guidelines and systematic review. Thus any citation should be made using the
following reference:
  B. Cowley, M. Filetti, K. Lukander, J. Torniainen, A. Henelius, L. Ahonen, O.
Barral, I. Kosunen, T. Valtonen, M. Huotilainen, N. Ravaja, G. Jacucci. The
Psychophysiology Primer: a guide to methods and a broad review with a focus on
human-computer interaction. Foundations and Trends in Human-Computer
Interaction, vol. 9, no. 3-4, pp. 150--307, 2016.


title:
A short review and primer on the use of human voice in human computer
  interaction applications

abstract:
  The application of psychophysiologicy in human-computer interaction is a
growing field with significant potential for future smart personalised systems.
Working in this emerging field requires comprehension of an array of
physiological signals and analysis techniques.
  Human speech affords, alongside linguistic content, rich information in the
intonation, voice quality, prosody, and rhythmic variation of utterances,
allowing listeners to recognise numerous distinct emotional states in the
speaker. Several types of factors affect speech, ranging from emotions to
cognitive load and pathological conditions, providing a promising non-intrusive
source for online understanding of context and psychophysiological state.
  This paper aims to serve as a primer for the novice, enabling rapid
familiarisation with the latest core concepts. We put special emphasis on
everyday human-computer interface applications to distinguish from the more
common clinical or sports uses of psychophysiology.
  This paper is an extract from a comprehensive review of the entire field of
ambulatory psychophysiology, including 12 similar chapters, plus application
guidelines and systematic review. Thus any citation should be made using the
following reference:
  B. Cowley, M. Filetti, K. Lukander, J. Torniainen, A. Henelius, L. Ahonen, O.
Barral, I. Kosunen, T. Valtonen, M. Huotilainen, N. Ravaja, G. Jacucci. The
Psychophysiology Primer: a guide to methods and a broad review with a focus on
human-computer interaction. Foundations and Trends in Human-Computer
Interaction, vol. 9, no. 3-4, pp. 150--307, 2016.


title: Soft See-Saw: Radiative Origin of Neutrino Masses in SUSY Theories

abstract:
  Radiative neutrino mass generation within supersymmetric (SUSY) construction
is studied. The mechanism is considered where the lepton number violation is
originating from the soft SUSY breaking terms. This requires MSSM extensions
with states around the TeV scale. We present several explicit realizations
based on extensions either by MSSM singlet or SU(2)_w triplet states. Besides
some novelties of the proposed scenarios, various phenomenological implications
are also discussed.


title: Stabilizing on the distinguishing number of a graph

abstract:
  The distinguishing number $D(G)$ of a graph $G$ is the least integer $d$ such
that $G$ has a vertex labeling with $d$ labels that is preserved only by a
trivial automorphism. The distinguishing stability, of a graph $G$ is denoted
by $st_D(G)$ and is the minimum number of vertices whose removal changes the
distinguishing number. We obtain a general upper bound $st_D(G) \leqslant \vert
V(G)\vert -D(G)+1$, and a relationships between the distinguishing stabilities
of graphs $G$ and $G-v$, i.e., $st_D(G)\leqslant st_D(G-v)+1$, where $v\in
V(G)$. Also we study the edge distinguishing stability number (distinguishing
bondage number) of $G$.


title:
Upgrade of the pedagogic and popular science tool for holography to a
  colour version

abstract:
  In 2012, a pedagogic tool for monochromatic holography was realized for
pedagogic and popular science purposes [Th. Voslion and A. Escarguel, Eur. J.
Phys 33, 1803 (2012)]. Following its success, we decided to upgrade it to make
larger colour holograms and new pedagogic experiments. The resulting kit
includes all the necessary equipment to produce 4 "x 5" colour holograms with a
simple optical assembly and with an excellent vibration tolerance. The
resulting holograms, in colour and bigger, are much more spectacular for
science outreach purposes. For teaching purposes, some of the existing
experiments have been upgraded, and new ones have been developed for university
students and continuing education of teachers: colour reflection Denisyuk
holograms, single shot transmission/reflection holograms, angular and
wavelength multiplexing, holographic diffraction gratings with improved setup.


title: Spontaneous twisting and shrinking of carbon nanotubes

abstract:
  Deformations of single-wall carbon nanotubes are investigated within the
tight-binding model with deformation-dependent hopping energies. We show that
the nanotubes tend to twist and shrink spontaneously at zero temperature. The
explicit values of the deformation parameters are computed for a wide range of
nanotubes with varying diameter and chirality. The changes of the spectral gap
associated with the spontaneous deformation are shown to depend on the
chirality of the nanotubes.


title:
Stationary waves on nonlinear quantum graphs II: Application of
  canonical perturbation theory in basic graph structures

abstract:
  We consider exact and asymptotic solutions of the stationary cubic nonlinear
Schr\"odinger equation (NLSE) on metric graphs. We focus on some basic example
graphs. The asymptotic solutions are obtained using the canonical perturbation
formalism developed in our earlier paper \cite{paper1}. For closed example
graphs (interval, ring, star graph, tadpole graph) we calculate spectral curves
and show how the description of spectra reduces to known characteristic
functions of linear quantum graphs in the low intensity limit. Analogously for
open examples we show how nonlinear scattering of stationary waves arises and
how it reduces to known linear scattering amplitudes at low intensities. In the
short-wave length asymptotics we discuss how genuine nonlinear effects such as
may be described using the leading order of canonical perturbation theory:
bifurcation of spectral curves (and the corresponding solutions) in closed
graphs and multistability in open graphs.


title: Adaptive Location Privacy with ALP

abstract:
  With the increasing amount of mobility data being collected on a daily basis
by location-based services (LBSs) comes a new range of threats for users,
related to the over-sharing of their location information. To deal with this
issue, several location privacy protection mechanisms (LPPMs) have been
proposed in the past years. However, each of these mechanisms comes with
different configuration parameters that have a direct impact both on the
privacy guarantees offered to the users and on the resulting utility of the
protected data. In this context, it can be difficult for non-expert system
designers to choose the appropriate configuration to use. Moreover, these
mechanisms are generally configured once for all, which results in the same
configuration for every protected piece of information. However, not all users
have the same behaviour, and even the behaviour of a single user is likely to
change over time. To address this issue, we present in this paper ALP, a new
framework enabling the dynamic configuration of LPPMs. ALP can be used in two
scenarios: (1) offline, where ALP enables a system designer to choose and
automatically tune the most appropriate LPPM for the protection of a given
dataset; (2) online, where ALP enables the user of a crowd sensing application
to protect consecutive batches of her geolocated data by automatically tuning
an existing LPPM to fulfil a set of privacy and utility objectives. We evaluate
ALP on both scenarios with two real-life mobility datasets and two
state-of-the-art LPPMs. Our experiments show that the adaptive LPPM
configurations found by ALP outperform both in terms of privacy and utility a
set of static configurations manually fixed by a system designer.


title: Rational Unified Process

abstract:
  In this German seminar paper, which was written in the year 2011 at the
University of Duisburg for a Bachelor Colloquium in Applied computer science,
we show a brief overview of the Rational Unified Process (RUP). Thus,
interested students or generally interested people in software development gain
a first impression of RUP.
  The paper includes a survey and overview of the underlying process structure,
the phases of the process, its workflows, and describes the always by the RUP
developers postulated "best practices" of software development.


title:
Second-order decoherence mechanisms of a transmon qubit probed with
  thermal microwave states

abstract:
  Thermal microwave states are omnipresent noise sources in superconducting
quantum circuits covering all relevant frequency regimes. We use them as a
probe to identify three second-order decoherence mechanisms of a
superconducting transmon. First, we quantify the efficiency of a resonator
filter in the dispersive Jaynes-Cummings regime and find evidence for parasitic
loss channels. Second, we probe second-order noise in the low-frequency regime
and demonstrate the expected $T^{3}$ temperature dependence of the qubit
dephasing rate. Finally, we show that qubit parameter fluctuations due to
two-level states are enhanced under the influence of thermal microwave states.
In particular, we experimentally confirm the $T^{2}$-dependence of the
fluctuation spectrum expected for noninteracting two-level states.


title:
Some results on the Signature and Cubature of the Fractional Brownian
  motion for $H>\frac{1}{2}$

abstract:
  In this work we present different results concerning the signature and the
cubature of fractional Brownian motion (fBm). The first result regards the rate
of convergence of the expected signature of the linear piecewise approximation
of the fBm to its exact value, for a value of the Hurst parameter
$H\in(\frac{1}{2},1)$. We show that the rate of convergence is given by $2H$.
We believe that this rate is sharp as it is consistent with the result of Ni
and Xu, who showed that the sharp rate of convergence for the Brownian motion
(i.e. fBm with $H=\frac{1}{2}$) is given by $1$. The second result regards the
bound of the coefficient of the rate of convergence obtained in the first
result. We obtain an uniform bound for the coefficient for the $2k$-th term of
the signature of $\frac{\tilde{A}k(2k-1)}{(k-1)!2^{k}}$, where $\tilde{A}$ is a
finite constant independent of $k$. The third result regards the sharp decay
rate of the expected signature of the fBm. We obtain a sharp bound for the
$2k$-th term of the expected signature of $\frac{1}{k!2^{k}}$. The last results
concern the cubature method for the fBm for $H>\frac{1}{2}$. In particular, we
develop the framework of the cubature method for fBm, provide a bound for the
approximation error in the general case, and obtain the cubature formula for
the fBm in a particular setting. These results extend the work of Lyons and
Victoir, who focused on the Brownian motion case.


title: Photon Statistics of Propagating Thermal Microwaves

abstract:
  In experiments with superconducting quantum circuits, characterizing the
photon statistics of propagating microwave fields is a fundamental task. We
quantify the $n^{2}\,{+}\,n$ photon number variance of thermal microwave
photons emitted from a black-body radiator for mean photon numbers
$0.05\,{\lesssim}\,n\,{\lesssim}\,1.5$. We probe the fields using either
correlation measurements or a transmon qubit coupled to a microwave resonator.
Our experiments provide a precise quantitative characterization of weak
microwave states and information on the noise emitted by a Josephson parametric
amplifier.


title: Scheduling Under Power and Energy Constraints

abstract:
  Given a system model where machines have distinct speeds and power ratings
but are otherwise compatible, we consider various problems of scheduling under
resource constraints on the system which place the restriction that not all
machines can be run at once. These can be power, energy, or makespan
constraints on the system. Given such constraints, there are problems with
divisible as well as non-divisible jobs. In the setting where there is a
constraint on power, we show that the problem of minimizing makespan for a set
of divisible jobs is NP-hard by reduction to the knapsack problem. We then show
that scheduling to minimize energy with power constraints is also NP-hard. We
then consider scheduling with energy and makespan constraints with divisible
jobs and show that these can be solved in polynomial time, and the problems
with non-divisible jobs are NP-hard. We give exact and approximation algorithms
for these problems as required.


title: Strong connectivity and its applications

abstract:
  Directed graphs are widely used in modelling of nonsymmetric relations in
various sciences and engineering disciplines. We discuss invariants of strongly
connected directed graphs - minimal number of vertices or edges necessary to
remove to make remaining graphs not strongly connected. By analogy with
undirected graphs these invariants are called strong vertex/edge
connectivities. We review some properties of these invariants. Computational
results for some publicly available connectome graphs used in neuroscience are
described.


title: The minimal resolution of a cointerval edge ideal is multiplicative

abstract:
  We show that the minimal resolution of the quotient of the polynomial algebra
over a field by a cointerval edge ideal can be given the structure of a
DG-algebra.


title: Rotating black holes with non-Abelian hair

abstract:
  We here review asymptotically flat rotating black holes in the presence of
non-Abelian gauge fields. Like their static counterparts these black holes are
no longer uniquely determined by their global charges. In the case of pure
SU(2) Yang-Mills fields, the rotation generically induces an electric charge,
while the black holes do not carry a magnetic charge. When a Higgs field is
coupled, rotating black holes with monopole hair arise in the case of a Higgs
triplet, while in the presence of a complex Higgs doublet the black holes carry
sphaleron hair. The inclusion of a dilaton allows for Smarr type mass formulae.


title:
Restarting accelerated gradient methods with a rough strong convexity
  estimate

abstract:
  We propose new restarting strategies for accelerated gradient and accelerated
coordinate descent methods. Our main contribution is to show that the restarted
method has a geometric rate of convergence for any restarting frequency, and so
it allows us to take profit of restarting even when we do not know the strong
convexity coefficient. The scheme can be combined with adaptive restarting,
leading to the first provable convergence for adaptive restarting schemes with
accelerated gradient methods. Finally, we illustrate the properties of the
algorithm on a regularized logistic regression problem and on a Lasso problem.


title:
Illustrating Electric Conductivity Using the Particle-in-a-Box Model:
  Quantum Superposition is the Key

abstract:
  Most of the textbooks explaining electric conductivity in the context of
quantum mechanics provide either incomplete or semi-classical explanations that
are not connected with the elementary concepts of quantum mechanics. We
illustrate the conduction phenomena using the simplest model system in quantum
dynamics, a particle in a box (PIB). To induce the particle dynamics, a linear
potential tilting the bottom of the box is introduced, which is equivalent to
imposing a constant electric field for a charged particle. Although the PIB
model represents a closed system that cannot have a flow of electrons through
the system, we consider the oscillatory dynamics of the particle probability
density as the analogue of the electric current. Relating the amplitude and
other parameters of the particle oscillatory dynamics with the gap between the
ground and excited states of the PIB model allows us to demonstrate one of the
most basic dependencies of electric conductivity on the valence-conduction band
gap of the material.


title:
Structure of equilibrium states on self-affine sets and strict
  monotonicity of affinity dimension

abstract:
  A fundamental problem in the dimension theory of self-affine sets is the
construction of high-dimensional measures which yield sharp lower bounds for
the Hausdorff dimension of the set. A natural strategy for the construction of
such high-dimensional measures is to investigate measures of maximal Lyapunov
dimension; these measures can be alternatively interpreted as equilibrium
states of the singular value function introduced by Falconer. Whilst the
existence of these equilibrium states has been well-known for some years their
structure has remained elusive, particularly in dimensions higher than two. In
this article we give a complete description of the equilibrium states of the
singular value function in the three-dimensional case, showing in particular
that all such equilibrium states must be fully supported. In higher dimensions
we also give a new sufficient condition for the uniqueness of these equilibrium
states. As a corollary, giving a solution to a folklore open question in
dimension three, we prove that for a typical self-affine set in $\mathbb{R}^3$,
removing one of the affine maps which defines the set results in a strict
reduction of the Hausdorff dimension.


title: Inhomogeneous extra space as a tool for the top-down approach

abstract:
  In this paper, the top-down approach for the 6-dimensional space has been
elaborated. The connection between the cosmological constant and the extra
space metric has been obtained. The metric can be found with the necessary
accuracy. It is shown that descent from high energies to the low ones leads to
the quantum corrections which influence weakly the metric of extra space.


title: A Geometric Formulation of Supersymmetry

abstract:
  The scalar fields of supersymmetric models are coordinates of a geometric
space. We propose a formulation of supersymmetry that is covariant with respect
to reparametrizations of this target space. Employing chiral multiplets as an
example, we introduce modified supersymmetry variations and redefined auxiliary
fields that transform covariantly under reparametrizations. The resulting
action and transformation laws are manifestly covariant and highlight the
geometric structure of the supersymmetric theory. The covariant methods are
developed first for general theories (not necessarily supersymmetric) whose
scalar fields are coordinates of a Riemannian target space.


title: Changepoint Detection in the Presence of Outliers

abstract:
  Many traditional methods for identifying changepoints can struggle in the
presence of outliers, or when the noise is heavy-tailed. Often they will infer
additional changepoints in order to fit the outliers. To overcome this problem,
data often needs to be pre-processed to remove outliers, though this is
difficult for applications where the data needs to be analysed online. We
present an approach to changepoint detection that is robust to the presence of
outliers. The idea is to adapt existing penalised cost approaches for detecting
changes so that they use loss functions that are less sensitive to outliers. We
argue that loss functions that are bounded, such as the classical biweight
loss, are particularly suitable -- as we show that only bounded loss functions
are robust to arbitrarily extreme outliers. We present an efficient dynamic
programming algorithm that can find the optimal segmentation under our
penalised cost criteria. Importantly, this algorithm can be used in settings
where the data needs to be analysed online. We show that we can consistently
estimate the number of changepoints, and accurately estimate their locations,
using the biweight loss function. We demonstrate the usefulness of our approach
for applications such as analysing well-log data, detecting copy number
variation, and detecting tampering of wireless devices.


title:
Interpolation for Hardy Spaces: Marcinkiewicz decomposition, Complex
  Interpolation and Holomorphic Martingales

abstract:
  The real and complex interpolation spaces for the classical Hardy spaces
$H^1$ and $H^\infty$ were determined in 1983 by P.W. Jones. Due to the analytic
constraints the associated Marcinkiewicz decomposition gives rise to a delicate
approximation problem for the $L^ 1$ metric. Specifically for $ f \in H^p$ the
size of $$ {\rm{inf}} \{ \| f - f_1 \| _1 \,:\, f_1 \in H^\infty ,\,
\|f_1\|_\infty \le \lambda \}$$ needs to be determined for any $ \lambda>0 $.
In the present paper we develop a new set of truncation formulae for obtaining
the Marcinkiewicz decomposition of $(H^1, H^\infty) $. We revisit the real and
complex interpolation theory for Hardy spaces by examining our newly found
formulae.


title:
Towards the bio-personalization of music recommendation systems: A
  single-sensor EEG biomarker of subjective music preference

abstract:
  Recent advances in biosensors technology and mobile electroencephalographic
(EEG) interfaces have opened new application fields for cognitive monitoring. A
computable biomarker for the assessment of spontaneous aesthetic brain
responses during music listening is introduced here. It derives from
well-established measures of cross-frequency coupling (CFC) and quantifies the
music-induced alterations in the dynamic relationships between brain rhythms.
During a stage of exploratory analysis, and using the signals from a suitably
designed experiment, we established the biomarker, which acts on brain
activations recorded over the left prefrontal cortex and focuses on the
functional coupling between high-beta and low-gamma oscillations. Based on data
from an additional experimental paradigm, we validated the introduced biomarker
and showed its relevance for expressing the subjective aesthetic appreciation
of a piece of music. Our approach resulted in an affordable tool that can
promote human-machine interaction and, by serving as a personalized music
annotation strategy, can be potentially integrated into modern flexible music
recommendation systems.
  Keywords: Cross-frequency coupling; Human-computer interaction;
Brain-computer interface


title:
On the existence of minimizers for the neo-Hookean energy in the
  axisymmetric setting

abstract:
  Let $\Omega$ be a smooth bounded axisymmetric set in $\R^3$. In this paper we
investigate the existence of minimizers of the so-called neo-Hookean energy
among a class of axisymmetric maps. Due to the appearance of a critical
exponent in the energy we must face a problem of lack of compactness. Indeed as
shown by an example of Conti-De Lellis, a phenomenon of concentration of energy
can occur preventing the strong convergence in $W^{1,2}(\Omega,\mathbb{R}^3)$
of a minimizing sequence along with the equi-integrability of the cofactors of
that sequence. We prove that this phenomenon can only take place on the axis of
symmetry of the domain. Thus if we consider domains that do not contain the
axis of symmetry then minimizers do exist. We also provide a partial
description of the lack of compactness in terms of Cartesian currents. Then we
study the case where $\Omega$ is not necessarily axisymmetric but the boundary
data is affine. In that case if we do not allow cavitation (nor in the interior
neither at the boundary) then the affine extension is the unique minimizer,
that is, quadratic polyconvex energies are $W^{1,2}$-quasiconvex in our
admissible space. At last, in the case of an axisymmetric domain not containing
its symmetry axis, we obtain for the first time the existence of weak solutions
of the energy-momentum equations for $3$D neo-Hookean materials.


title: Renyi-Ulam Games and Forbidden Substrings

abstract:
  The Renyi-Ulam game is played between two players, the Seeker and the
Obscurer. The Obscurer thinks of a number between 1 and $n$. The Seeker wishes
to identify that number. On each turn, the Seeker asks the Obscurer whether her
number belongs to a specific subset of the numbers from 1 to $n$. The Obscurer
answers either yes or no, and her answer is either true or false. The series of
truths and lies given by the Obscurer must conform to a restriction $R$ that
the players have agreed on in advance.
  We give criteria on the restrictions $R$ that allow the Seeker to win. Then
we apply our results to the study of restrictions characterized by forbidden
substrings. In particular, we give a complete classification of all such
restrictions characterized by two forbidden substrings, elaborating on
Czyzowicz, Lakshmanan and Pelc's classification of all such restrictions
characterized by one forbidden substring.


title:
On the Impact of Wireless Jamming on the Distributed Secondary Microgrid
  Control

abstract:
  The secondary control in direct current microgrids (MGs) is used to restore
the voltage deviations caused by the primary droop control, where the latter is
implemented locally in each distributed generator and reacts to load
variations. Numerous recent works propose to implement the secondary control in
a distributed fashion, relying on a communication system to achieve consensus
among MG units. This paper shows that, if the system is not designed to cope
with adversary communication impairments, then a malicious attacker can apply a
simple jamming of a few units of the MG and thus compromise the secondary MG
control. Compared to other denial-of-service attacks that are oriented against
the tertiary control, such as economic dispatch, the attack on the secondary
control presented here can be more severe, as it disrupts the basic
functionality of the MG.


title:
Estimating distances from parallaxes. III. Distances of two million
  stars in the Gaia DR1 catalogue

abstract:
  We infer distances and their asymmetric uncertainties for two million stars
using the parallaxes published in the Gaia DR1 (GDR1) catalogue. We do this
with two distance priors: A minimalist, isotropic prior assuming an
exponentially decreasing space density with increasing distance, and an
anisotropic prior derived from the observability of stars in a Milky Way model.
We validate our results by comparing our distance estimates for 105 Cepheids
which have more precise, independently estimated distances. For this sample we
find that the Milky Way prior performs better (the RMS of the scaled residuals
is 0.40) than the exponentially decreasing space density prior (RMS is 0.57),
although for distances beyond 2 kpc the Milky Way prior performs worse, with a
bias in the scaled residuals of -0.36 (vs. -0.07 for the exponentially
decreasing space density prior). We do not attempt to include the photometric
data in GDR1 due to the lack of reliable colour information. Our distance
catalogue is available at http://www.mpia.de/homes/calj/tgas
distances/main.html as well as at CDS. This should only be used to give
individual distances. Combining data or testing models should be done with the
original parallaxes, and attention paid to correlated and systematic
uncertainties.


title: Example-Based Image Synthesis via Randomized Patch-Matching

abstract:
  Image and texture synthesis is a challenging task that has long been drawing
attention in the fields of image processing, graphics, and machine learning.
This problem consists of modelling the desired type of images, either through
training examples or via a parametric modeling, and then generating images that
belong to the same statistical origin.
  This work addresses the image synthesis task, focusing on two specific
families of images -- handwritten digits and face images. This paper offers two
main contributions. First, we suggest a simple and intuitive algorithm capable
of generating such images in a unified way. The proposed approach taken is
pyramidal, consisting of upscaling and refining the estimated image several
times. For each upscaling stage, the algorithm randomly draws small patches
from a patch database, and merges these to form a coherent and novel image with
high visual quality. The second contribution is a general framework for the
evaluation of the generation performance, which combines three aspects: the
likelihood, the originality and the spread of the synthesized images. We assess
the proposed synthesis scheme and show that the results are similar in nature,
and yet different from the ones found in the training set, suggesting that true
synthesis effect has been obtained.


title: The face-space duality hypothesis: a computational model

abstract:
  Valentine's face-space suggests that faces are represented in a psychological
multidimensional space according to their perceived properties. However, the
proposed framework was initially designed as an account of invariant facial
features only, and explanations for dynamic features representation were
neglected. In this paper we propose, develop and evaluate a computational model
for a twofold structure of the face-space, able to unify both identity and
expression representations in a single implemented model. To capture both
invariant and dynamic facial features we introduce the face-space duality
hypothesis and subsequently validate it through a mathematical presentation
using a general approach to dimensionality reduction. Two experiments with real
facial images show that the proposed face-space: (1) supports both identity and
expression recognition, and (2) has a twofold structure anticipated by our
formal argument.


title:
Time-dependent search for neutrino emission from x-ray binaries with the
  ANTARES telescope

abstract:
  ANTARES is currently the largest neutrino telescope operating in the Northern
Hemisphere, aiming at the detection of high-energy neutrinos from astrophysical
sources. Neutrino telescopes constantly monitor at least one complete
hemisphere of the sky, and are thus well-suited to detect neutrinos produced in
transient astrophysical sources. A timedependent search has been applied to a
list of 33 x-ray binaries undergoing high flaring activities in satellite data
(RXTE/ASM, MAXI and Swift/BAT) and during hardness transition states in the
2008-2012 period. The background originating from interactions of charged
cosmic rays in the Earth's atmosphere is drastically reduced by requiring a
directional and temporal coincidence with astrophysical phenomena. The results
of this search are presented together with comparisons between the neutrino
flux upper limits and the neutrino flux predictions from astrophysical models.
The neutrino flux upper limits resulting from this search limit the jet
parameter predictions for some astrophysical models.


title: Block-proximal methods with spatially adapted acceleration

abstract:
  We study and develop (stochastic) primal--dual block-coordinate descent
methods for convex problems based on the method due to Chambolle and Pock. Our
methods have known convergence rates for the iterates and the ergodic gap:
$O(1/N^2)$ if each block is strongly convex, $O(1/N)$ if no convexity is
present, and more generally a mixed rate $O(1/N^2)+O(1/N)$ for strongly convex
blocks, if only some blocks are strongly convex. Additional novelties of our
methods include blockwise-adapted step lengths and acceleration, as well as the
ability to update both the primal and dual variables randomly in blocks under a
very light compatibility condition. In other words, these variants of our
methods are doubly-stochastic. We test the proposed methods on various image
processing problems, where we employ pixelwise-adapted acceleration.


title:
Sivers asymmetry extracted in SIDIS at the hard scale of the Drell-Yan
  process at COMPASS

abstract:
  Proton transverse-spin azimuthal asymmetries are extracted from the COMPASS
2010 semi-inclusive hadron measurements in deep inelastic muon-nucleon
scattering in those four regions of the photon virtuality $Q^2$, which
correspond to the four regions of the di-muon mass $\sqrt{Q^2}$ used in the
ongoing analysis of the COMPASS Drell-Yan measurements. This allows for a
future direct comparison of the nucleon transverse-momentum-dependent parton
distribution functions extracted from these two alternative measurements.
Various two-dimensional kinematic dependences are presented for the azimuthal
asymmetries induced by the Sivers transverse-momentum-dependent parton
distribution function. The integrated Sivers asymmetries are found to be
positive with an accuracy that appears to be sufficient to test the sign change
of the Sivers function predicted by Quantum Chromodynamics.


title:
An accreting pulsar with extreme properties drives an ultraluminous
  x-ray source in NGC 5907

abstract:
  Ultraluminous x-ray sources (ULXs) in nearby galaxies shine brighter than any
X-ray source in our Galaxy. ULXs are usually modeled as stellar-mass black
holes (BHs) accreting at very high rates or intermediate-mass BHs. We present
observations showing that NGC5907 ULX is instead an x-ray accreting neutron
star (NS) with a spin period evolving from 1.43~s in 2003 to 1.13~s in 2014. It
has an isotropic peak luminosity of about 1000 times the Eddington limit for a
NS at 17.1~Mpc. Standard accretion models fail to explain its luminosity, even
assuming beamed emission, but a strong multipolar magnetic field can describe
its properties. These findings suggest that other extreme ULXs (x-ray
luminosity > 10^{41} erg/s) might harbor NSs.


title:
Characterising superconducting filters using residual microwave
  background

abstract:
  A normal metal - superconductor hybrid single-electron trap with tunable
barrier is utilized as a tool for spectrum analysis at the extremely low signal
levels, using only well filtered cryogenic microwave background as a photon
source in the frequency range from about 50 to 210 GHz. We probe millimeter
wave propagation in two superconducting systems: a Josephson junction array
around its plasma frequency, and a superconducting titanium film in the limit
when the photon energies are larger than the superconducting energy gap. This
regime is relevant for improving the performance of cryogenic quantum devices
but is hard to access with conventional techniques. We show that relatively
simple models can be used to describe the essential properties of the studied
components.


title: Functional Clones and Expressibility of Partition Functions

abstract:
  We study functional clones, which are sets of non-negative pseudo-Boolean
functions (functions $\{0,1\}^k\to\mathbb{R}_{\geq 0}$) closed under
(essentially) multiplication, summation and limits. Functional clones naturally
form a lattice under set inclusion and are closely related to counting
Constraint Satisfaction Problems (CSPs). We identify a sublattice of
interesting functional clones and investigate the relationships and properties
of the functional clones in this sublattice.


title:
Multi-Output Artificial Neural Network for Storm Surge Prediction in
  North Carolina

abstract:
  During hurricane seasons, emergency managers and other decision makers need
accurate and `on-time' information on potential storm surge impacts. Fully
dynamical computer models, such as the ADCIRC tide, storm surge, and wind-wave
model take several hours to complete a forecast when configured at high spatial
resolution. Additionally, statically meaningful ensembles of high-resolution
models (needed for uncertainty estimation) cannot easily be computed in near
real-time. This paper discusses an artificial neural network model for storm
surge prediction in North Carolina. The network model provides fast, real-time
storm surge estimates at coastal locations in North Carolina. The paper studies
the performance of the neural network model vs. other models on synthetic and
real hurricane data.


title: Lindenbaum method (propositional language)

abstract:
  Lindenbaum method is named after the Polish logician Adolf Lindenbaum who
prematurely and without a clear trace disappeared in the turmoil of the Second
World War at the age of about 37. The method is based on the symbolic nature of
formalized languages of deductive systems and opens a gate for applications of
algebra to logic and, thereby, to Abstract algebraic logic.


title:
Direct manifestation of Ehrenfest's theorem in the infinite square well
  model

abstract:
  Ehrenfest's theorem in the infinite square well is up to now only manifested
indirectly. The manifestation of this theorem is first done in the finite
square well, and then consider the infinite square well as the limit of the
finite well. For a direct manifestation, we need a more precise formula to
describe the degree of infiniteness of the divergent potential energy. We show
that the potential energy term term, which is the product of the potential
energy and the energy eigenfunction, is a well defined function which can be
expressed in terms of Dirac delta functions. This means that the infinity in
this model is not that vague but has obtained a specification. This results
that expectation values can be calculated precisely and Ehrenfest's thereom can
be confirmed directly.


title: Partition functions of web diagrams with an O7$^-$-plane

abstract:
  We consider the computation of the topological string partition function for
5-brane web diagrams with an O7$^-$-plane. Since upon quantum resolution of the
orientifold plane these diagrams become non-toric web diagrams without the
orientifold we are able to apply the topological vertex to obtain the Nekrasov
partition function of the corresponding 5d theory. We apply this procedure to
the case of 5d $SU(N)$ theories with one hypermultiplet in the antisymmetric
representation and to the case of 5d pure $USp(2N)$ theories. For these cases
we discuss the dictionary between parameters and moduli of the 5d gauge theory
and lengths of 5-branes in the web diagram and moreover we perform comparison
of the results obtained via application of the topological vertex and the one
obtained via localisation techniques, finding in all instances we consider
perfect agreement.


title:
$\mathcal{L}_2$ and $\mathcal{L}_{\infty}$ stability analysis of
  heterogeneous traffic with application to parameter optimisation for the
  control of automated vehicles

abstract:
  The presence of (partially) automated vehicles on the roads presents an
opportunity to compensate the unstable behaviour of conventional vehicles.
Vehicles subject to perturbations should (i) recover their equilibrium speed,
(ii) react not to propagate but absorb perturbations. In this work, we start
with considering vehicle systems consisting of heterogeneous vehicles updating
their dynamics according to realistic behavioural car-following models.
Definitions of all types of stability that are of interest in the vehicle
system, namely input-output stability, scalability, weak and strict string
stability, are introduced based on recent studies. Then, frequency domain
linear stability analyses are conducted after linearisation of the modelled
system of vehicles, leading to conditions for input-output stability, strict
and weak string stability over the behavioural parameters of the system, for
finite and infinite systems of homogeneous and heterogeneous vehicles. This
provides a solid basis that was missing for car-following model-based control
design in mixed traffic systems where only a proportion of vehicles can be
controlled. After visualisation of the theoretical results in simulation, we
formulate an optimisation strategy with LMI constraints to tune the behavioural
parameters of the automated vehicles in order to maximise the L1 string
stability of the mixed traffic flow while considering the comfort of automated
driving. The optimisation strategy systematically leads to increased traffic
flow stability. We show that very few automated vehicles are required to
prevent the


title:
Quantum Anomalous Hall and Half-metallic Phases in Ferromagnetic (111)
  Bilayers of 4d and 5d Transition Metal Perovskites

abstract:
  Extraordinary electronic phases can form in artificial oxide
heterostructures, which will provide a fertile ground for new physics and also
give rise to novel device functions. Based on a systematic first-principles
density functional theory study of the magnetic and electronic properties of
the (111) superlattices (ABO3)2/(AB'O3)10 of 4d and 5d transition metal
perovskite (B = Ru, Rh, Ag, Re, Os, Ir, Au; AB'O3 = LaAlO3, SrTiO3), we
demonstrate that due to quantum confinement, bilayers (LaBO3)2 (B = Ru, Re, Os)
and (SrBO3)2 (B = Rh, Os, Ir) are ferromagnetic with ordering temperatures up
to room temperature. In particular, bilayer (LaOsO3)2 is an exotic
spin-polarized quantum anomalous Hall insulator, while the other ferromagnetic
bilayers are metallic with large Hall conductances comparable to the
conductance quantum. Furthermore, bilayers (LaRuO3)2 and (SrRhO3)2 are
half-metallic, while bilayer (SrIrO3)2 exhibits peculiar colossal magnetic
anisotropy. Our findings thus show that 4d and 5d metal perovskite (111)
bilayers are a class of quasi-two-dimensional materials for exploring exotic
quantum phases and also for advanced applications such as low-power
nanoelectronics and oxide spintronics.


title: Discovering Sound Concepts and Acoustic Relations In Text

abstract:
  In this paper we describe approaches for discovering acoustic concepts and
relations in text. The first major goal is to be able to identify text phrases
which contain a notion of audibility and can be termed as a sound or an
acoustic concept. We also propose a method to define an acoustic scene through
a set of sound concepts. We use pattern matching and parts of speech tags to
generate sound concepts from large scale text corpora. We use dependency
parsing and LSTM recurrent neural network to predict a set of sound concepts
for a given acoustic scene. These methods are not only helpful in creating an
acoustic knowledge base but in the future can also directly help acoustic event
and scene detection research.


title: Exact solution of the relativistic quantum Toda chain

abstract:
  The relativistic quantum Toda chain model is studied with the generalized
algebraic Bethe Ansatz method. By employing a set of local gauge
transformations, proper local vacuum states can be obtained for this model. The
exact spectrum and eigenstates of the model are thus constructed
simultaneously.


title:
A penalized likelihood method for classification with matrix-valued
  predictors

abstract:
  We propose a penalized likelihood method to fit the linear discriminant
analysis model when the predictor is matrix valued. We simultaneously estimate
the means and the precision matrix, which we assume has a Kronecker product
decomposition. Our penalties encourage pairs of response category mean matrices
to have equal entries and also encourage zeros in the precision matrix. To
compute our estimators, we use a blockwise coordinate descent algorithm. To
update the optimization variables corresponding to response category mean
matrices, we use an alternating minimization algorithm that takes advantage of
the Kronecker structure of the precision matrix. We show that our method can
outperform relevant competitors in classification, even when our modeling
assumptions are violated. We analyze an EEG dataset to demonstrate our method's
interpretability and classification accuracy.


title:
Spreading of correlations in a quenched repulsive and attractive one
  dimensional lattice system

abstract:
  We study the real time evolution of the correlation functions in a globally
quenched interacting one dimensional lattice system by means of time adaptive
density matrix renormalization group. We find a clear light-cone behavior
quenching the repulsive interaction from the gapped density wave regime. The
spreading velocity increases with the final values of the interaction and then
saturates at a certain finite value. In the case of a Luttinger liquid phase as
the initial state, for strong repulsive interaction quenches, a more complex
dynamics occurs as a result of bound state formations. From the other side in
the attractive regime, depending on where connected correlation functions are
measured, one can observe a delay in the starting time evolution and a
coexistence of ballistic and localized signals.


title: A new geometrical look at Ostrogradsky procedure

abstract:
  Making use of the modern techniques of non-holonomic geometry and constrained
variational calculus, a revisitation of Ostrogradsky's Hamiltonian formulation
of the evolution equations determined by a Lagrangian of order >= 2 in the
derivatives of the configuration variables is presented.


title: Nature of the Absorbing Gas associated with a Galaxy Group at z~0.4

abstract:
  We present new MUSE observations of quasar field Q2131-1207 with a log
N(HI)=19.50+/-0.15 sub-DLA at z_abs=0.42980. We detect four galaxies at a
redshift consistent with that of the absorber where only one was known before
this study. Two of these are star forming galaxies, while the ones further away
from the quasar (>140 kpc) are passive galaxies. We report the metallicities of
the HII regions of the closest objects (12+log(O/H)=8.98+/-0.02 and
8.32+/-0.16) to be higher or equivalent within the errors to the metallicity
measured in absorption in the neutral phase of the gas (8.15+/-0.20). For the
closest object, a detailed morpho-kinematic analysis indicates that it is an
inclined large rotating disk with V_max=200+/-3 km/s. We measure the masses to
be M_dyn=7.4+/-0.4 x 10^10 M_sun and M_halo=2.9+/-0.2 x 10^12 M_sun. Some of
the gas seen in absorption is likely to be co-rotating with the halo of that
object, possibly due to a warped disk. The azimuthal angle between the quasar
line of sight and the projected major axis of the galaxy on the sky is 12+/-1
degrees which indicates that some other fraction of the absorbing gas might be
associated with accreting gas. This is further supported by the galaxy to gas
metallicity difference. Based on the same arguments, we exclude outflows as a
possibility to explain the gas in absorption. The four galaxies form a large
structure (at least 200 kpc wide) consistent with a filament or a galaxy group
so that a fraction of the absorption could be related to intra-group gas.


title:
The Atmospheric Response to High Nonthermal Electron Beam Fluxes in
  Solar Flares I: Modeling the Brightest NUV Footpoints in the X1 Solar Flare
  of 2014 March 29

abstract:
  The 2014 March 29 X1 solar flare (SOL20140329T17:48) produced bright
continuum emission in the far- and near-ultraviolet (NUV) and highly asymmetric
chromospheric emission lines, providing long-sought constraints on the heating
mechanisms of the lower atmosphere in solar flares. We analyze the continuum
and emission line data from the Interface Region Imaging Spectrograph (IRIS) of
the brightest flaring magnetic footpoints in this flare. We compare the NUV
spectra of the brightest pixels to new radiative-hydrodynamic predictions
calculated with the RADYN code using constraints on a nonthermal electron beam
inferred from the collisional thick-target modeling of hard X-ray data from
RHESSI. We show that the atmospheric response to a high beam flux density
satisfactorily achieves the observed continuum brightness in the NUV. The NUV
continuum emission in this flare is consistent with hydrogen (Balmer)
recombination radiation that originates from low optical depth in a dense
chromospheric condensation and from the stationary beam-heated layers just
below the condensation. A model producing two flaring regions (a condensation
and stationary layers) in the lower atmosphere is also consistent with the
asymmetric Fe II chromospheric emission line profiles observed in the impulsive
phase.


title: Some Remarks on Energy inequalities for harmonic maps with potential

abstract:
  In this note we discuss how several results characterizing the qualitative
behavior of solutions to the nonlinear Poisson equation can be generalized to
harmonic maps with potential between complete Riemannian manifolds. This
includes gradient estimates, monotonicity formulas and Liouville theorems under
curvature and energy assumptions.


title: Degenerations of binary Lie and nilpotent Malcev algebras

abstract:
  We describe degenerations of four-dimensional binary Lie algebras, and five-
and six-dimensional nilpotent Malcev algebras over \mathbb{C}. In particular,
we describe all irreducible components of these varieties.


title: Online Identification of Time-Varying Systems: a Bayesian approach

abstract:
  We extend the recently introduced regularization/Bayesian System
Identification procedures to the estimation of time-varying systems.
Specifically, we consider an online setting, in which new data become available
at given time steps. The real-time estimation requirements imposed by this
setting are met by estimating the hyper-parameters through just one gradient
step in the marginal likelihood maximization and by exploiting the closed-form
availability of the impulse response estimate (when Gaussian prior and Gaussian
measurement noise are postulated). By relying on the use of a forgetting
factor, we propose two methods to tackle the tracking of time-varying systems.
In one of them, the forgetting factor is estimated by treating it as a
hyper-parameter of the Bayesian inference procedure.


title: Emergent ultrafast phenomena in correlated oxides and heterostructures

abstract:
  The possibility of investigating the dynamics of solids on timescales faster
than the thermalization of the internal degrees of freedom has disclosed novel
non-equilibrium phenomena that have no counterpart at equilibrium. Transition
metal oxides (TMOs) provide an interesting playground in which the correlations
among the charges in the metal $d$-orbitals give rise to a wealth of intriguing
electronic and thermodynamic properties involving the spin, charge, lattice and
orbital orders. Furthermore, the physical properties of TMOs can be engineered
at the atomic level, thus providing the platform to investigate the transport
phenomena on timescales of the order of the intrinsic decoherence time of the
charge excitations.
  Here, we review and discuss three paradigmatic examples of transient emerging
properties that are expected to open new fields of research: i) the creation of
non-thermal magnetic states in spin-orbit Mott insulators; ii) the possible
exploitation of quantum paths for the transport and collection of charge
excitations in TMO-based few-monolayers devices; iii) the transient wave-like
behavior of the temperature field in strongly anisotropic TMOs.


title:
A study of cascading failures in real and synthetic power grid
  topologies using DC power flows

abstract:
  Using the linearized DC power flow model, we study cascading failures and
their spatial and temporal properties in the US Western Interconnect (USWI)
power grid. We also introduce the preferential Degree And Distance Attachment
(DADA) model, with similar degree distributions, resistances, and currents to
the USWI. We investigate the behavior of both grids resulting from the failure
of a single line. We find that the DADA model and the USWI model react very
similarly to that failure, and that their blackout characteristics resemble
each other. In many cases, the failure of a single line can cause cascading
failures, which impact the entire grid. We characterize the resilience of the
grid by three parameters, the most important of which is tolerance ${\alpha}$,
which is the ratio of the maximal load a line can carry to its initial load. We
characterize a blackout by its yield, which we define as the ratio of the final
to the initial consumed currents. We find that if ${\alpha}\leq2$, the
probability of a large blackout occurring is very small. By contrast, in a
broad range of $1 < {\alpha} < 2$, the initial failure of a single line can
result, with a high probability, in cascading failures leading to a massive
blackout with final yield less than 80%. The yield has a bimodal distribution
typical of a first-order transition, i.e., the failure of a randomly selected
line leads either to an insignificant current reduction or to a major blackout.
We find that there is a latent period in the development of major blackouts
during which few lines are overloaded, and the yield remains high. The duration
of this latent period is proportional to the tolerance. The existence of the
latent period suggests that intervention during early time steps of a cascade
can significantly reduce the risk of a major blackout.


title:
Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color
  algebras

abstract:
  We generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma,
Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of
color $n$-ary algebras to the case of $n$-ary Hom-$\Omega$ color algebras.
Particularly, we prove some properties of generalized derivations of
multiplicative $n$-ary Hom-$\Omega$ color algebras. Moreover, we prove that the
quasiderivation algebra of any multiplicative $n$-ary Hom-$\Omega$ color
algebra can be embedded into the derivation algebra of a larger multiplicative
n-ary Hom-$\Omega$ color algebra.


title:
Active locking and entanglement in type II optical parametric
  oscillators

abstract:
  Type II optical parametric oscillators are amongst the highest-quality
sources of quantum-correlated light. In particular, when pumped above
threshold, such devices generate a pair of bright orthogonally-polarized beams
with strong continuous-variable entanglement. However, these sources are of
limited practical use, because the entangled beams emerge with different
frequencies and a diffusing phase-difference. It has been proven that the use
of an internal wave-plate coupling the modes with orthogonal polarization is
capable of locking the frequencies of the emerging beams to half the pump
frequency, as well as reducing the phase-difference diffusion, at the expense
of reducing the entanglement levels. In this work we characterize theoretically
an alternative locking mechanism: the injection of a laser at half the pump
frequency. Apart from being less invasive, this method should allow for an
easier real-time experimental control. We show that such an injection is
capable of generating the desired phase locking between the emerging beams,
while still allowing for large levels of entanglement. Moreover, we find an
additional region of the parameter space (at relatively large injections) where
a mode with well defined polarization is in a highly squeezed vacuum state.


title: Logics for Propositional Determinacy and Independence

abstract:
  This paper investigates formal logics for reasoning about determinacy and
independence. Propositional Dependence Logic D and Propositional Independence
Logic I are recently developed logical systems, based on team semantics, that
provide a framework for such reasoning tasks. We introduce two new logics L_D
and L_I, based on Kripke semantics, and propose them as alternatives for D and
I, respectively. We analyze the relative expressive powers of these four logics
and discuss the way these systems relate to natural language. We argue that L_D
and L_I naturally resolve a range of interpretational problems that arise in D
and I. We also obtain sound and complete axiomatizations for L_D and L_I.


title:
On Multifield Born and Born-Infeld Theories and their non-Abelian
  Generalizations

abstract:
  Starting from a recently proposed linear formulation in terms of auxiliary
fields, we study $n$-field generalizations of Born and Born-Infeld theories. In
this description the Lagrangian is quadratic in the vector field strengths and
the symmetry properties (including the characteristic self-duality) of the
corresponding non-linear theory are manifest as on-shell duality symmetries and
depend on the choice of the (homogeneous) manifold spanned by the auxiliary
scalar fields and the symplectic frame. By suitably choosing these defining
properties of the quadratic Lagrangian, we are able to reproduce some known
multi-field Born-Infeld theories and to derive new non-linear models, such as
the $n$-field Born theory. We also discuss non-Abelian generalizations of these
theories obtained by choosing the vector fields in the adjoint representation
of an off-shell compact global symmetry group $K$ and replacing them by
non-Abelian, $K$-covariant field strengths, thus promoting $K$ to a gauge
group.


title:
Steklov Approximations of Harmonic Boundary Value Problems on Planar
  Regions

abstract:
  Error estimates for approximations of harmonic functions on planar regions by
subspaces spanned by the first harmonic Steklov eigenfunctions are found. They
are based on the explicit representation of harmonic functions in terms of
these harmonic Steklov eigenfunctions. When the region is a rectangle of aspect
ratio h, some computational results regarding these approximations for problems
with known explicit solutions are described.


title:
Endpoint results for Fourier integral operators on noncompact symmetric
  spaces

abstract:
  Let X be a noncompact symmetric space of rank one and let h^1(X) be a local
atomic Hardy space. We prove the boundedness from h^1(X) to L^1(X) and on
h^1(X) of some classes of Fourier integral operators related to the wave
equation associated with the Laplacian on X and we estimate the growth of their
norms depending on time.


title:
A Copositive Approach for Two-Stage Adjustable Robust Optimization with
  Uncertain Right-Hand Sides

abstract:
  We study two-stage adjustable robust linear programming in which the
right-hand sides are uncertain and belong to a convex, compact uncertainty set.
This problem is NP-hard, and the affine policy is a popular, tractable
approximation. We prove that under standard and simple conditions, the
two-stage problem can be reformulated as a copositive optimization problem,
which in turn leads to a class of tractable, semidefinite-based approximations
that are at least as strong as the affine policy. We investigate several
examples from the literature demonstrating that our tractable approximations
significantly improve the affine policy. In particular, our approach solves
exactly in polynomial time a class of instances of increasing size for which
the affine policy admits an arbitrarily large gap.


title:
Neutrinos from type Ia supernovae: The gravitationally confined
  detonation scenario

abstract:
  Despite their use as cosmological distance indicators and their importance in
the chemical evolution of galaxies, the unequivocal identification of the
progenitor systems and explosion mechanism of normal type Ia supernova (SN Ia)
remains elusive. The leading hypothesis is that such a supernova is a
thermonuclear explosion of a carbon-oxygen white dwarf, but the exact explosion
mechanism is still a matter of debate. Observation of a galactic SN Ia would be
of immense value in answering the many open questions related to these events.
One potentially useful source of information about the explosion mechanism and
progenitor is the neutrino signal.
  In this paper we compute the expected neutrino signal from a gravitationally
confined detonation (GCD) explosion scenario for a SN~Ia and show how the flux
at Earth contains features in time and energy unique to this scenario. We then
calculate the expected event rates in the Super-K, Hyper-K, JUNO, DUNE, and
IceCube detectors and find both Hyper-K and IceCube would see a few events for
a GCD supernova at 1 kpc or closer, while Super-K, JUNO, and DUNE would see a
events if the supernova were closer than ${\sim}0.3$ kpc. The distance and
detector criteria needed to resolve the time and spectral features arising from
the explosion mechanism, neutrino production, and neutrino oscillation
processes are also discussed.
  The neutrino signal from the GCD is then compared with the signal from a
deflagration-to-detonation transition (DDT) explosion model computed
previously. We find the overall event rate is the most discriminating feature
between the two scenarios followed by the event rate time structure. Using the
event rate in the Hyper-K detector alone, the DDT can be distinguished from the
GCD at 2$\sigma$ if the distance to the supernova is less than $2.3\;{\rm kpc}$
for a normal mass ordering and $3.6\;{\rm kpc}$ for an inverted ordering.


title: Theoretical results for top-quark cross sections and distributions

abstract:
  I present new results and updates for total cross sections and differential
distributions in top-antitop pair and single-top production. Soft-gluon
corrections are added to exact fixed-order results to provide the best
predictions at approximate N$^3$LO for $t{\bar t}$ production and approximate
NNLO for single-top production. Total cross sections and top-quark
transverse-momentum and rapidity distributions are presented and compared with
data at LHC and Tevatron energies. The cusp anomalous dimension at three and
higher loops is also discussed.