title: Star Cluster Formation and Destruction in the Merging Galaxy NGC 3256

abstract:
  We use the Advanced Camera for Surveys on the Hubble Space Telescope to study
the rich population of young massive star clusters in the main body of NGC
3256, a merging pair of galaxies with a high star formation rate (SFR) and SFR
per unit area ($\Sigma_{\rm{SFR}}$). These clusters have luminosity and mass
functions that follow power laws, $dN/dL \propto L^{\alpha}$ with $\alpha =
-2.23 \pm 0.07$, and $dN/dM \propto M^{\beta}$ with $\beta = -1.86 \pm 0.34$
for $\tau < 10$ Myr clusters, similar to those found in more quiescent
galaxies. The age distribution can be described by $dN/d\tau \propto \tau ^
\gamma$, with $\gamma \approx -0.67 \pm 0.08$ for clusters younger than about a
few hundred million years, with no obvious dependence on cluster mass. This is
consistent with a picture where $\sim 80 \%$ of the clusters are disrupted each
decade in time. We investigate the claim that galaxies with high
$\Sigma_{\rm{SFR}}$ form clusters more efficiently than quiescent systems by
determining the fraction of stars in bound clusters ($\Gamma$) and the CMF/SFR
statistic (CMF is the cluster mass function) for NGC 3256 and comparing the
results with those for other galaxies. We find that the CMF/SFR statistic for
NGC 3256 agrees well with that found for galaxies with $\Sigma_{\rm{SFR}}$ and
SFRs that are lower by $1-3$ orders of magnitude, but that estimates for
$\Gamma$ are only robust when the same sets of assumptions are applied.
Currently, $\Gamma$ values available in the literature have used different sets
of assumptions, making it more difficult to compare the results between
galaxies.


title:
An Active RBSE Framework to Generate Optimal Stimulus Sequences in a BCI
  for Spelling

abstract:
  A class of brain computer interfaces (BCIs) employs noninvasive recordings of
electroencephalography (EEG) signals to enable users with severe speech and
motor impairments to interact with their environment and social network. For
example, EEG based BCIs for typing popularly utilize event related potentials
(ERPs) for inference. Presentation paradigm design in current ERP-based letter
by letter typing BCIs typically query the user with an arbitrary subset
characters. However, the typing accuracy and also typing speed can potentially
be enhanced with more informed subset selection and flash assignment. In this
manuscript, we introduce the active recursive Bayesian state estimation
(active-RBSE) framework for inference and sequence optimization. Prior to
presentation in each iteration, rather than showing a subset of randomly
selected characters, the developed framework optimally selects a subset based
on a query function. Selected queries are made adaptively specialized for users
during each intent detection. Through a simulation-based study, we assess the
effect of active-RBSE on the performance of a language-model assisted typing
BCI in terms of typing speed and accuracy. To provide a baseline for
comparison, we also utilize standard presentation paradigms namely, row and
column matrix presentation paradigm and also random rapid serial visual
presentation paradigms. The results show that utilization of active-RBSE can
enhance the online performance of the system, both in terms of typing accuracy
and speed.


title: Spectrometers and Polyphase Filterbanks in Radio Astronomy

abstract:
  This review gives an introduction to spectrometers and discusses their use
within radio astronomy. While a variety of technologies are introduced,
particular emphasis is given to digital systems. Three different types of
digital spectrometers are discussed: autocorrelation spectrometers, Fourier
transform spectrometers, and polyphase filterbank spectrometers. Given their
growing ubiquity and significant advantages, polyphase filterbanks are detailed
at length. The relative advantages and disadvantages of different spectrometer
technologies are compared and contrasted, and implementation considerations are
presented.


title: Universal trimers emerging from a spin-orbit coupled Fermi sea

abstract:
  We report the existence of a universal trimer state induced by an impurity
interacting with a two-component spin-orbit coupled Fermi gas in two
dimensions. In the zero-density limit with a vanishing Fermi sea, the trimer is
stabilized by the symmetry of the single-particle spectrum under spin-orbit
coupling, and is therefore {\it universal} against the short-range details of
the interaction potential. When the Fermi energy increases, we show that the
trimer is further stabilized by particle-hole fluctuations over a considerable
parameter region. We map out the phase diagram consisting of trimers, dimers,
and polarons, and discuss the detection of these states using radio-frequency
spectroscopy. The universal trimer revealed in our work is a direct
manifestation of intriguing three-body correlations emerging from a many-body
environment, which, in our case, is cooperatively supported by the
single-particle spectral symmetry and the collective particle-hole excitations.


title: Encoding and Indexing of Lattice Codes

abstract:
  Encoding and indexing of lattice codes is generalized from self-similar
lattice codes to a broader class of lattices. If coding lattice
$\Lambda_{\textrm{c}}$ and shaping lattice $\Lambda_{\textrm{s}}$ satisfy
$\Lambda_{\textrm{s}} \subseteq \Lambda_{\textrm{c}}$, then
$\Lambda_{\textrm{c}} / \Lambda_{\textrm{s}}$ is a quotient group that can be
used to form a (nested) lattice code $\mathcal{C}$. Conway and Sloane's method
of encoding and indexing does not apply when the lattices are not self-similar.
Results are provided for two classes of lattices. (1) If $\Lambda_{\textrm{c}}$
and $\Lambda_{\textrm{s}}$ both have generator matrices in triangular form,
then encoding is always possible. (2) When $\Lambda_{\textrm{c}}$ and
$\Lambda_{\textrm{s}}$ are described by full generator matrices, if a solution
to a linear diophantine equation exists, then encoding is possible. In
addition, special cases where $\mathcal{C}$ is a cyclic code are also
considered. A condition for the existence of a group homomorphism between the
information and $\mathcal{C}$ is given. The results are applicable to a variety
of coding lattices, including Construction A, Construction D and LDLCs. The
$D_4$, $E_8$ and convolutional code lattices are shown to be good choices for
the shaping lattice. Thus, a lattice code $\mathcal{C}$ can be designed by
selecting $\Lambda_{\textrm{c}}$ and $\Lambda_{\textrm{s}}$ separately,
avoiding competing design requirements of self-similar lattice codes.


title:
Unconventional non-Fermi liquid state caused by nematic criticality in
  cuprates

abstract:
  At the nematic quantum critical point that exists in the $d_{x^2-y^2}$-wave
superconducting dome of cuprates, the massless nodal fermions interact strongly
with the quantum critical fluctuation of nematic order. We study this problem
by means of renormalization group approach and show that, the fermion damping
rate $\left|\mathrm{Im}\Sigma^R(\omega)\right|$ vanishes more rapidly than the
energy $\omega$ and the quasiparticle residue $Z_f\rightarrow 0$ in the limit
$\omega \rightarrow 0$. The nodal fermions thus constitute an unconventional
non-Fermi liquid that represents an even weaker violation of Fermi liquid
theory than a marginal Fermi liquid. We also investigate the interplay of
quantum nematic critical fluctuation and gauge-potential-like disorder, and
find that the effective disorder strength flows to the strong coupling regime
at low energies. Therefore, even an arbitrarily weak disorder can drive the
system to become a disorder controlled diffusive state. Based on these
theoretical results, we are able to understand a number of interesting
experimental facts observed in curpate superconductors.


title:
Repeated Multimarket Contact with Private Monitoring: A Belief-Free
  Approach

abstract:
  This paper studies repeated games where two players play multiple duopolistic
games simultaneously (multimarket contact). A key assumption is that each
player receives a noisy and private signal about the other's actions (private
monitoring or observation errors). There has been no game-theoretic support
that multimarket contact facilitates collusion or not, in the sense that more
collusive equilibria in terms of per-market profits exist than those under a
benchmark case of one market. An equilibrium candidate under the benchmark case
is belief-free strategies. We are the first to construct a non-trivial class of
strategies that exhibits the effect of multimarket contact from the
perspectives of simplicity and mild punishment. Strategies must be simple
because firms in a cartel must coordinate each other with no communication.
Punishment must be mild to an extent that it does not hurt even the minimum
required profits in the cartel. We thus focus on two-state automaton strategies
such that the players are cooperative in at least one market even when he or
she punishes a traitor. Furthermore, we identify an additional condition
(partial indifference), under which the collusive equilibrium yields the
optimal payoff.


title: A certification scheme for the boson sampler

abstract:
  Boson sampling can provide strong evidence that the computational power of a
quantum computer outperforms a classical one via currently feasible linear
optics experiments. However, how to identify an actual boson sampling device
against any classical computing imposters is an ambiguous problem due to the
computational complexity class in which boson sampling lies. The certification
protocol based on bosonic bunching fails to rule out the so-called mean-field
sampling. We propose a certification scheme to distinguish the boson sampling
from the mean-field sampling for any random scattering matrices chosen via the
Harr-measure. We numerically analyze our scheme and the influence of imperfect
input states caused by non-simultaneous arrival photons.


title:
Polynomial potentials determined from the energy spectrum and transition
  dipole moments that give the largest hyperpolarizabilities

abstract:
  We attempt to get a polynomial solution to the inverse problem, that is, to
determine the form of the mechanical Hamiltonian when given the energy spectrum
and transition dipole moment matrix. Our approach is to determine the potential
in the form of a polynomial by finding an approximate solution to the inverse
problem, then to determine the hyperpolarizability for that system's
Hamiltonian. We find that the largest hyperpolarizabilities approach the
apparent limit of previous potential optimization studies, but we do not find
real potentials for the parameter values necessary to exceed this apparent
limit. We also explore half potentials with positive exponent, which cannot be
expressed as a polynomial except for integer powers. This yields a simple
closed potential with only one parameter that scans nearly the full range of
the intrinsic hyperpolarizability. The limiting case of vanishing exponent
yields the largest intrinsic hyperpolarizability.


title: Static hyperpolarizability of space-fractional quantum systems

abstract:
  The nonlinear response is investigated for a space-fractional quantum
mechanical system subject to a static electric field. Expressions for the
polarizability and hyperpolarizability are derived from the fractional
Schr\"{o}dinger equation in the particle-centric view for a three-level model
constrained by the generalized Thomas-Rieke-Kuhn sum rule matrix elements.
These expressions resemble those for a semi-relativistic system, where the
reduction of the maximum linear and nonlinear static response is attributed to
the functional dependence of the canonical position and momentum commutator. As
examples, a clipped quantum harmonic oscillator potential and slant well
potential are studied. The linear and first nonlinear response to the
perturbing field are shown to decrease as the space fractionality is moved
further below unity, which is caused by a suppression of the dipole transition
moments. These results illustrate the importance of dimensionality and the
order of the kinetic momentum operator which affect the strength of a system's
optical response.


title: On spreading sequences and asymptotic structures

abstract:
  In the first part of the paper we study the structure of Banach spaces with a
conditional spreading basis. The geometry of such spaces exhibit a striking
resemblance to the geometry of James' space. Further, we show that the
averaging projections onto subspaces spanned by constant coefficient blocks
with no gaps between supports are bounded. As a consequence, every Banach space
with a spreading basis contains a complemented subspace with an unconditional
basis. This gives an affirmative answer to a question of H. Rosenthal.
  The second part contains two results on Banach spaces $X$ whose asymptotic
structures are closely related to $c_0$ and do not contain a copy of $\ell_1$:
i) Suppose $X$ has a normalized weakly null basis $(x_i)$ and every spreading
model $(e_i)$ of a normalized weakly null block basis satisfies
$\|e_1-e_2\|=1$. Then some subsequence of $(x_i)$ is equivalent to the unit
vector basis of $c_0$. This generalizes a similar theorem of Odell and
Schlumprecht, and yields a new proof of the Elton-Odell theorem on the
existence of infinite $(1+\varepsilon)$-separated sequences in the unit sphere
of an arbitrary infinite dimensional Banach space. ii) Suppose that all
asymptotic models of $X$ generated by weakly null arrays are equivalent to the
unit vector basis of $c_0$. Then $X^*$ is separable and $X$ is asymptotic-$c_0$
with respect to a shrinking basis $(y_i)$ of $Y\supseteq X$.


title:
Easy Axis orientation of Ferromagnetic Films as Described by Third Order
  Perturbed Heisenberg Hamiltonian

abstract:
  The magnetic easy axis orientation was studied by the third order perturbed
Heisenberg Hamiltonian. Ferromagnetic CoPt/AlN multilayer thin films with
number of layers N=11, 16 and 21 synthesized on fused quartz substrates using
dc magnetron sputtering technique have been employed as experimental data.
According to experimental research performed by some other researchers, easy
axis of these fcc structured ferromagnetic films is oriented in the plane of
the film at one particular temperature. Average value of out of plane spin
component was plotted against temperature in order to determine the spin
reorientation temperature. The spin reorientation temperature was highly
sensitive to 2nd order magnetic anisotropy constant.


title:
Spin Coated Multilayered Cupric Oxide Thin Films and their structural
  properties

abstract:
  Sol-gel spin coating technique was employed to synthesize CuO thin films at
1500 rpm, 2200 rpm and 2400 rpm for 30 seconds, and subsequently annealed at
150-550{\deg}C for 1 hour. Multi-layered CuO thin films with 3 and 5 layers
were prepared. These thin films were characterized using XRD, FTIR and
polarizing light microscopy. The XRD and FTIR analysis confirmed the
crystallization of CuO phase in thin films annealed above 350 {\deg}C, and
corresponding crystallite sizes were observed to be increasing with the
annealing temperature. The Scherrer formula was applied for (111) and peaks of
XRD patterns of CuO thin films. According to the data of peak, average
crystallite size increased from 0.801 to 55.2 0A as annealing temperature was
increased from 350 to 500 0C.


title: Demagnetization factor dependence of energy of thick ferromagnetic films

abstract:
  Second order perturbed Heisenberg Hamiltonian was employed to study the
variation of energy of ferromagnetic thick films with demagnetization factor.
Under the influence of demagnetization factor given by =6.6, the sc(001) film
with 10000 layers can be easily oriented in 0.6 radians direction for the
values of energy parameters used in this report. Easy direction of thick
fcc(001) film with 10000 layers was determined at 0.66 radians, when the
demagnetization factor is given by =2.6. The energy of sc(001) thick film is
larger than that of fcc(001) thick film. But the energy curve of fcc(001) thick
film is smoother than that of sc(001).


title: Analysis and Probability on Infinite-Dimensional Spaces

abstract:
  These lecture notes contain an introduction to some of the fundamental ideas
and results in analysis and probability on infinite-dimensional spaces, mainly
Gaussian measures on Banach spaces. They originated as the notes for a topics
course at Cornell University in 2011.


title: Cluster Sampling Filters for Non-Gaussian Data Assimilation

abstract:
  This paper presents a fully non-Gaussian version of the Hamiltonian Monte
Carlo (HMC) sampling filter. The Gaussian prior assumption in the original HMC
filter is relaxed. Specifically, a clustering step is introduced after the
forecast phase of the filter, and the prior density function is estimated by
fitting a Gaussian Mixture Model (GMM) to the prior ensemble. Using the data
likelihood function, the posterior density is then formulated as a mixture
density, and is sampled using a HMC approach (or any other scheme capable of
sampling multimodal densities in high-dimensional subspaces). The main filter
developed herein is named "cluster HMC sampling filter" (ClHMC). A multi-chain
version of the ClHMC filter, namely MC-ClHMC is also proposed to guarantee that
samples are taken from the vicinities of all probability modes of the
formulated posterior. The new methodologies are tested using a
quasi-geostrophic (QG) model with double-gyre wind forcing and bi-harmonic
friction. Numerical results demonstrate the usefulness of using GMMs to relax
the Gaussian prior assumption in the HMC filtering paradigm.


title:
Tidal deformability and I-Love-Q relations for gravastars with
  polytropic thin shells

abstract:
  The moment of inertia, the spin-induced quadrupole moment, and the tidal Love
number of neutron-star and quark-star models are related through some relations
which depend only mildly on the stellar equation of state. These "I-Love-Q"
relations have important implications for astrophysics and gravitational-wave
astronomy. An interesting problem is whether similar relations hold for other
compact objects and how they approach the black-hole limit. To answer these
questions, here we investigate the deformation properties of a large class of
thin-shell gravastars, which are exotic compact objects that do not possess an
event horizon nor a spacetime singularity. Working in a small-spin and
small-tidal field expansion, we calculate the moment of inertia, the quadrupole
moment, and the (quadrupolar electric) tidal Love number of gravastars with a
polytropic thin shell. The I-Love-Q relations of a thin-shell gravastar are
drastically different from those of an ordinary neutron star. The Love number
and quadrupole moment are negative for less compact models and the I-Love-Q
relations continuously approach the black-hole limit. We consider a variety of
polytropic equations of state for the matter shell, and find no universality in
the I-Love-Q relations. However, we cannot deny the possibility that, similarly
to the neutron-star case, an approximate universality might emerge for a
limited class of equations of state. Finally, we discuss how a measurement of
the tidal deformability from the gravitational-wave detection of a
compact-binary inspiral can be used to constrain exotic compact objects like
gravastars.


title: Estimating Uncertainty Online Against an Adversary

abstract:
  Assessing uncertainty is an important step towards ensuring the safety and
reliability of machine learning systems. Existing uncertainty estimation
techniques may fail when their modeling assumptions are not met, e.g. when the
data distribution differs from the one seen at training time. Here, we propose
techniques that assess a classification algorithm's uncertainty via calibrated
probabilities (i.e. probabilities that match empirical outcome frequencies in
the long run) and which are guaranteed to be reliable (i.e. accurate and
calibrated) on out-of-distribution input, including input generated by an
adversary. This represents an extension of classical online learning that
handles uncertainty in addition to guaranteeing accuracy under adversarial
assumptions. We establish formal guarantees for our methods, and we validate
them on two real-world problems: question answering and medical diagnosis from
genomic data.


title: A Robust Measure of Dark Matter Halo Ellipticities

abstract:
  In simulations of the standard cosmological model (LCDM), dark matter halos
are aspherical. However, so far the asphericity of an individual galaxy's halo
has never been robustly established. We use the Jeans equations to define a
quantity which robustly characterizes a deviation from rotational symmetry.
This quantity is essentially the gravitational torque and it roughly provides
the ellipticity projected along the line of sight. We show that the Thirty
Meter Telescope (TMT), with a single epoch of observations combined with those
of the Gaia space telescope, can distinguish the LCDM value of the torque from
zero for each Sculptor-like dwarf galaxy with a confidence between 0 and 5
sigma, depending on the orientation of each halo. With two epochs of
observations, TMT will achieve a 5 sigma discovery of torque and so asphericity
for most such galaxies, and so will provide a new and powerful test of the LCDM
model.


title:
Distributional It\^o's Formula and Regularization of Generalized Wiener
  Functionals

abstract:
  We investigate Bochner integrabilities of generalized Wiener functionals. We
further formulate an It\^o formula for a diffusion in a distributional setting,
and apply to investigate differentiability-index $s$ and integrability-index $p
\geqslant 2$ for which the Bochner integral belongs to $\mathbb{D}_{p}^{s}$.


title: Accelerating Eulerian Fluid Simulation With Convolutional Networks

abstract:
  Efficient simulation of the Navier-Stokes equations for fluid flow is a long
standing problem in applied mathematics, for which state-of-the-art methods
require large compute resources. In this work, we propose a data-driven
approach that leverages the approximation power of deep-learning with the
precision of standard solvers to obtain fast and highly realistic simulations.
Our method solves the incompressible Euler equations using the standard
operator splitting method, in which a large sparse linear system with many free
parameters must be solved. We use a Convolutional Network with a highly
tailored architecture, trained using a novel unsupervised learning framework to
solve the linear system. We present real-time 2D and 3D simulations that
outperform recently proposed data-driven methods; the obtained results are
realistic and show good generalization properties.


title: Pretty Good State Transfer on Circulant Graphs

abstract:
  Let $G$ be a graph with adjacency matrix $A$. The transition matrix of $G$
relative to $A$ is defined by $H(t):=\exp{\left(-itA\right)},\;t\in\Rl$. The
graph $G$ is said to admit pretty good state transfer between a pair of
vertices $u$ and $v$ if there exists a sequence of real numbers $\{t_k\}$ and a
complex number $\gamma$ of unit modulus such that
$\lim\limits_{k\rightarrow\infty} H(t_k) e_u=\gamma e_v.$ We find that pretty
good state transfer occurs in a cycle on $n$ vertices if and only if $n$ is a
power of two and it occurs between every pair of antipodal vertices. In
addition, we look for pretty good state transfer in more general circulant
graphs. We prove that union (edge disjoint) of an integral circulant graph with
a cycle, each on $2^k$ $(k\geq 3)$ vertices, admits pretty good state transfer.
The complement of such union also admits pretty good state transfer. This
enables us to find some non-circulant graphs admitting pretty good state
transfer. Among the complement of cycles we also find a class of graphs not
exhibiting pretty good state transfer.


title: The strong Pytkeev$^*$ property of topological spaces

abstract:
  Modifying the known definition of a Pytkeev network, we introduce a notion of
Pytkeev$^*$ network and prove that a topological space has a countable Pytkeev
network if and only if $X$ is countably tight and has a countable Pykeev$^*$
network. In the paper we establish some stability properties of the class of
topological spaces with the strong Pytkeev$^*$-property.


title: The Elekes-Szab\'o Theorem in four dimensions

abstract:
  Let $F\in\mathbb{C}[x,y,s,t]$ be an irreducible constant-degree polynomial,
and let $A,B,C,D\subset\mathbb{C}$ be finite sets of size $n$. We show that $F$
vanishes on at most $O(n^{8/3})$ points of the Cartesian product $A\times
B\times C\times D$, unless $F$ has a special group-related form. A similar
statement holds for $A,B,C,D$ of unequal sizes. This is a four-dimensional
extension of our recent improved analysis of the original Elekes-Szab\'o
theorem in three dimensions. We give three applications: an expansion bound for
three-variable real polynomials that do not have a special form, a bound on the
number of coplanar quadruples on a space curve that is neither planar nor
quartic, and a bound on the number of four-point circles on a plane curve that
has degree at least five.


title:
Large deviations for drift parameter estimator of mixed fractional
  Ornstein--Uhlenbeck process

abstract:
  We investigate large deviation properties of the maximum likelihood drift
parameter estimator for Ornstein--Uhlenbeck process driven by mixed fractional
Brownian motion.


title:
Non-thermal production and escape of OH from the upper atmosphere of
  Mars

abstract:
  We present a theoretical analysis of formation and kinetics of hot OH
molecules in the upper atmosphere of Mars produced in reactions of thermal
molecular hydrogen and energetic oxygen atoms. Two major sources of energetic O
considered are the photochemical production, via dissociative recombination of
O$_{2}^{+}$ ions, and energizing collisions with fast atoms produced by the
precipitating Solar Wind (SW) ions, mostly H$^+$ and He$^{2+}$, and energetic
neutral atoms (ENAs) originating in the charge-exchange collisions between the
SW ions and atmospheric gases. Energizing collisions of O with atmospheric
secondary hot atoms, induced by precipitating SW ions and ENAs, are also
included in our consideration. The non-thermal reaction O + H$_2(v,j)
\rightarrow$ H + OH$(v',j')$ is described using recent quantum-mechanical
state-to-state cross sections, which allow us to predict non-equilibrium
distributions of excited rotational and vibrational states $(v',j')$ of OH and
expected emission spectra. A fraction of produced translationally hot OH is
sufficiently energetic to overcome Mars' gravitational potential and escape
into space, contributing to the hot corona. We estimate the total escape flux
from dayside of Mars for low solar activity conditions at about
$5\times10^{22}$ s$^{-1}$, or about 0.1\% of the total escape rate of atomic O
and H. The described non-thermal OH production mechanism is general and
expected to contribute to the evolution of atmospheres of the planets,
satellites, and exoplanets with similar atmospheric compositions.


title: $\infty$-constructible Subsemigroups of $M_2(\mathbb{C})$

abstract:
  A description of all subsemigroups of $M_2(\mathbb{C})$ which are given by a
countable intersection of constructible sets is given. Furthermore, it is shown
that they are intersections of constructible semigroups.


title:
On fractal faithfulness and fine fractal properties of random variables
  with independent $\boldsymbol{Q^*}$-digits

abstract:
  We develop a new technique to prove the faithfulness of the
Hausdorff--Besicovitch dimension calculation of the family $\varPhi(Q^*)$ of
cylinders generated by $Q^*$-expansion of real numbers. All known sufficient
conditions for the family $\varPhi(Q^*)$ to be faithful for the
Hausdorff--Besicovitch dimension calculation use different restrictions on
entries $q_{0k}$ and $q_{(s-1)k}$. We show that these restrictions are of
purely technical nature and can be removed. Based on these new results, we
study fine fractal properties of random variables with independent
$Q^*$-digits.


title: Explicit reconstruction of the entanglement wedge

abstract:
  The problem of how the boundary encodes the bulk in AdS/CFT is still a
subject of study today. One of the major issues that needs more elucidation is
the problem of subregion duality; what information of the bulk a given boundary
subregion encodes. Although the proof given by Dong, Harlow, and Wall states
that the entanglement wedge of the bulk should be encoded in boundary
subregions, no explicit procedure for reconstructing the entanglement wedge was
given so far. In this paper, mode sum approach to obtaining smearing functions
for a single bulk scalar is generalised to include bulk reconstruction in the
entanglement wedge of boundary subregions. It is generally expectated that
solutions to the wave equation on a complicated coordinate patch are needed,
but this hard problem has been transferred to a less hard but tractable problem
of matrix inversion.


title: Standard Rothe Tableaux

abstract:
  Edelman and Greene constructed a bijection between the set of standard Young
tableaux and the set of balanced Young tableaux of the same shape. Fomin,
Greene, Reiner and Shimozono introduced the notion of balanced Rothe tableaux
of a permutation $w$, and established a bijection between the set of balanced
Rothe tableaux of $w$ and the set of reduced words of $w$. In this paper, we
introduce the notion of standard Rothe tableaux of $w$, which are tableaux
obtained by labelling the cells of the Rothe diagram of $w$ such that each row
and each column is increasing. We show that the number of standard Rothe
tableaux of $w$ is smaller than or equal to the number of balanced Rothe
tableaux of $w$, with equality if and only if $w$ avoids the four patterns
2413, 2431, 3142 and 4132. When $w$ is a dominant permutation, i.e.,
132-avoiding, the Rothe diagram of $w$ is a Young diagram, so this reduces to
the result of Edelman and Greene.


title: Cloud Empowered Self-Managing WSNs

abstract:
  Wireless Sensor Networks (WSNs) are composed of low powered and
resource-constrained wireless sensor nodes that are not capable of performing
high-complexity algorithms. Integrating these networks into the Internet of
Things (IoT) facilitates their real-time optimization based on remote data
visualization and analysis. This work describes the design and implementation
of a scalable system architecture that integrates WSNs and cloud services to
work autonomously in an IoT environment. The implementation relies on Software
Defined Networking features to simplify the WSN management and exploits data
analytics tools to execute a reinforcement learning algorithm that takes
decisions based on the environment's evolution. It can automatically configure
wireless sensor nodes to measure and transmit the temperature only at periods
when the environment changes more often. Without any human intervention, the
system could reduce nearly 85% the number of transmissions, showing the
potential of this mechanism to extend WSNs lifetime without compromising the
data quality. Besides attending to similar use cases, such a WSN autonomic
management could promote a new business model to offer sensing tasks as a
service, which is also introduced in this work.


title: On the tensor product of linear sites and Grothendieck categories

abstract:
  We define a tensor product of linear sites, and a resulting tensor product of
Grothendieck categories based upon their representations as categories of
linear sheaves. We show that our tensor product is a special case of the tensor
product of locally presentable linear categories, and that the tensor product
of locally coherent Grothendieck categories is locally coherent if and only if
the Deligne tensor product of their abelian categories of finitely presented
objects exists. We describe the tensor product of non-commutative projective
schemes in terms of Z-algebras, and show that for projective schemes our tensor
product corresponds to the usual product scheme.


title: Existence results for double-phase problems via Morse theory

abstract:
  We obtain nontrivial solutions for a class of double-phase problems using
Morse theory. In the absence of a direct sum decomposition, we use a
cohomological local splitting to get an estimate of the critical groups at
zero.


title:
Approximations for a solution to stochastic heat equation with stable
  noise

abstract:
  We consider a Cauchy problem for stochastic heat equation driven by a real
harmonizable fractional stable process $Z$ with Hurst parameter $H>1/2$ and
stability index $\alpha>1$. It is shown that the approximations for its
solution, which are defined by truncating the LePage series for $Z$, converge
to the solution.


title: Characterizing Driving Styles with Deep Learning

abstract:
  Characterizing driving styles of human drivers using vehicle sensor data,
e.g., GPS, is an interesting research problem and an important real-world
requirement from automotive industries. A good representation of driving
features can be highly valuable for autonomous driving, auto insurance, and
many other application scenarios. However, traditional methods mainly rely on
handcrafted features, which limit machine learning algorithms to achieve a
better performance. In this paper, we propose a novel deep learning solution to
this problem, which could be the first attempt of extending deep learning to
driving behavior analysis based on GPS data. The proposed approach can
effectively extract high level and interpretable features describing complex
driving patterns. It also requires significantly less human experience and
work. The power of the learned driving style representations are validated
through the driver identification problem using a large real dataset.


title:
On the plus and the minus Selmer groups for elliptic curves at
  supersingular primes

abstract:
  Let $p$ be an odd prime number, $E$ an elliptic curve defined over a number
field. Suppose that $E$ has good reduction at any prime lying above $p$, and
has supersingular reduction at some prime lying above $p$. In this paper, we
construct the plus and the minus Selmer groups of $E$ over the cyclotomic
$\mathbb Z_p$-extension in a more general setting than that of B.D. Kim, and
give a generalization of a result of B.D. Kim on the triviality of finite
$\Lambda$-submodules of the Pontryagin duals of the plus and the minus Selmer
groups, where $\Lambda$ is the Iwasawa algebra of the Galois group of the
$\mathbb Z_p$-extension.


title:
Calcul des op\'erateurs de Hecke sur les classes d'isomorphisme de
  r\'eseaux pairs de d\'eterminant 2 en dimension 23 et 25

abstract:
  In this article, we compute the Hecke operator $\mathrm{T}_2$, associated to
the Kneser $2$-neighbours, defined on the isomorphic classes of even lattices
of determinant 2, in dimension 23 and 25. In a previous article, we computed
some properties of the Satake parameters of the automorphic representations for
the linear groups discovered by Chenevier and Renard. Thanks to these results,
we deduce the value of many other Hecke operators. This enables us to compute
for every prime $p$ the Kneser graph associated to the $p$-neighbours of
lattices in dimension 23 and 25. From our results, we improve Harder's
conjecture, and also prove many other congruences involving the Satake
parameters of the automorphic representations for the linear groups discovered
by Chenevier and Renard.


title:
Large deviation principle for one-dimensional SDEs with discontinuous
  coefficients

abstract:
  We establish the large deviation principle for solutions of one-dimensional
SDEs with discontinuous coefficients. The main statement is formulated in a
form similar to the classical Wentzel--Freidlin theorem, but under the
considerably weaker assumption that the coefficients have no discontinuities of
the second kind.


title: Multiple-Instance Logistic Regression with LASSO Penalty

abstract:
  In this work, we consider a manufactory process which can be described by a
multiple-instance logistic regression model. In order to compute the maximum
likelihood estimation of the unknown coefficient, an expectation-maximization
algorithm is proposed, and the proposed modeling approach can be extended to
identify the important covariates by adding the coefficient penalty term into
the likelihood function. In addition to essential technical details, we
demonstrate the usefulness of the proposed method by simulations and real
examples.


title: Infinite Products of Random Isotropically Distributed Matrices

abstract:
  Statistical properties of infinite products of random isotropically
distributed matrices are investigated. Both for continuous processes with
finite correlation time and discrete sequences of independent matrices, a
formalism that allows to calculate easily the Lyapunov spectrum and generalized
Lyapunov exponents is developed. This problem is of interest to probability
theory, statistical characteristics of matrix T-exponentials are also needed
for turbulent transport problems, dynamical chaos and other parts of
statistical physics.


title:
Breakdown of a Magnetization Plateau in Ferrimagnetic Mixed Spin-(1/2,S)
  Heisenberg Chains Due to a Quantum Phase Transition Towards the Luttinger
  Spin Liquid

abstract:
  Magnetization curves of the ferrimagnetic mixed spin-(1/2,S) Heisenberg
chains are calculated with the help of density-matrix renormalization group
method for several quantum spin numbers S=1, 3/2, 2 and 5/2. It is shown that
the ferrimagnetic mixed spin-(1/2,S) Heisenberg chains exhibit irrespective of
the spin value S exactly one intermediate magnetization plateau, which can be
identified with the gapped Lieb-Mattis ferrimagnetic ground state. The
magnetization plateau due to the Lieb-Mattis ferrimagnetism breaks down at a
quantum phase transition towards the Luttinger spin liquid, which is
characterized by a continuous change of the magnetization with the magnetic
field until another quantum critical point is reached at the saturation field.


title: The Lax-Milgram Theorem. A detailed proof to be formalized in Coq

abstract:
  To obtain the highest confidence on the correction of numerical simulation
programs implementing the finite element method, one has to formalize the
mathematical notions and results that allow to establish the soundness of the
method. The Lax-Milgram theorem may be seen as one of those theoretical
cornerstones: under some completeness and coercivity assumptions, it states
existence and uniqueness of the solution to the weak formulation of some
boundary value problems. The purpose of this document is to provide the formal
proof community with a very detailed pen-and-paper proof of the Lax-Milgram
theorem.


title: Randomly stopped sums with consistently varying distributions

abstract:
  Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables,
and $\eta$ be a counting random variable independent of this sequence. We
consider conditions for $\{\xi_1,\xi_2,\ldots\}$ and $\eta$ under which the
distribution function of the random sum
$S_{\eta}=\xi_1+\xi_2+\cdots+\xi_{\eta}$ belongs to the class of consistently
varying distributions. In our consideration, the random variables
$\{\xi_1,\xi_2,\ldots\}$ are not necessarily identically distributed.


title: Measurements of CPT Violation at LHCb

abstract:
  Recent measurements of CPT violation and Lorentz symmetry breaking in
$B^0-\bar{B}^0$ mixing and $B^0_s-\bar{B}^0_s$ mixing, obtained from data taken
by the LHCb experiment, are highlighted. The results are expressed in terms of
the Standard-Model Extension (SME) coefficients, which incorporate both CPT and
Lorentz violation. Due to the large boost of the $B$ mesons at LHCb, the SME
coefficients can be determined with high precision. The bounds on these
coefficients are improved significantly compared to previous measurements.


title:
Fractional-charge and fractional-spin errors in range-separated
  density-functional theory

abstract:
  We investigate fractional-charge and fractional-spin errors in
range-separated density-functional theory. Specifically, we consider the
range-separated hybrid (RSH) method which combines long-range Hartree-Fock (HF)
exchange with a short-range semilocal exchange-correlation density functional,
and the RSH+MP2 method which adds long-range second-order M{{\o}}ller-Plesset
(MP2) correlation. Results on atoms and molecules show that the
fractional-charge errors obtained in RSH are much smaller than in the standard
Kohn-Sham (KS) scheme applied with semilocal or hybrid approximations, and also
generally smaller than in the standard HF method. The RSH+MP2 method tends to
have smaller fractional-charge errors than standard MP2 for the most diffuse
systems, but larger fractional-charge errors for the more compact systems. Even
though the individual contributions to the fractional-spin errors in the H atom
coming from the short-range exchange and correlation density-functional
approximations are smaller than the corresponding contributions for the
full-range exchange and correlation density-functional approximations, RSH
gives fractional-spin errors that are larger than in the standard KS scheme and
only slightly smaller than in standard HF. Adding long-range MP2 correlation
only leads to infinite fractional-spin errors. This work clarifies the
successes and limitations of range-separated density-functional theory
approaches for eliminating self-interaction and static-correlation errors.


title:
Spatial variations of PAH properties in M17SW revealed by Spitzer/IRS
  spectral mapping

abstract:
  We present $Spitzer$/IRS mid-infrared spectral maps of the Galactic
star-forming region M17 as well as IRSF/SIRIUS Br$\gamma$ and Nobeyama
45-m/FOREST $^{13}$CO ($J$=1--0) maps. The spectra show prominent features due
to polycyclic aromatic hydrocarbons (PAHs) at wavelengths of 6.2, 7.7, 8.6,
11.3, 12.0, 12.7, 13.5, and 14.2 $\mu$m. We find that the PAH emission features
are bright in the region between the HII region traced by Br$\gamma$ and the
molecular cloud traced by $^{13}$CO, supporting that the PAH emission
originates mostly from photo-dissociation regions. Based on the
spatially-resolved $Spitzer$/IRS maps, we examine spatial variations of the PAH
properties in detail. As a result, we find that the interband ratio of PAH 7.7
$\mu$m/PAH 11.3 $\mu$m varies locally near M17SW, but rather independently of
the distance from the OB stars in M17, suggesting that the degree of PAH
ionization is mainly controlled by local conditions rather than the global UV
environments determined by the OB stars in M17. We also find that the interband
ratios of the PAH 12.0 $\mu$m, 12.7 $\mu$m, 13.5 $\mu$m, and 14.2 $\mu$m
features to the PAH 11.3 $\mu$m feature are high near the M17 center, which
suggests structural changes of PAHs through processing due to intense UV
radiation, producing abundant edgy irregular PAHs near the M17 center.


title:
Lipschitz regularity results for nonlinear strictly elliptic equations
  and applications

abstract:
  Most of lipschitz regularity results for nonlinear strictly elliptic
equations are obtained for a suitable growth power of the nonlinearity with
respect to the gradient variable (subquadratic for instance). For equations
with superquadratic growth power in gradient, one usually uses weak
Bernstein-type arguments which require regularity and/or convex-type
assumptions on the gradient nonlinearity. In this article, we obtain new
Lipschitz regularity results for a large class of nonlinear strictly elliptic
equations with possibly arbitrary growth power of the Hamiltonian with respect
to the gradient variable using some ideas coming from Ishii-Lions' method. We
use these bounds to solve an ergodic problem and to study the regularity and
the large time behavior of the solution of the evolution equation.


title:
Unraveling the dominant phonon scattering mechanism in thermoelectric
  compound ZrNiSn

abstract:
  Determining defect types and concentrations remains a big challenge of
semiconductor materials science. By using ab-initio thermal conductivity
calculations we reveal that Ni/vacancy antisites, and not the previously
claimed Sn/Zr antisites, are the dominant defects affecting thermal transport
in half-Heusler compound ZrNiSn. Our calculations correctly predict the thermal
conductivity dependence with temperature and concentration, in quantitative
agreement with published experimental results. Furthermore, we find a
characteristic proportionality between phonon-antisite scattering rates and the
sixth power of phonon frequency, for which we provide an analytic derivation.
These results suggest that thermal conductivity measurements in combination
with ab-initio calculations can be used to quantitatively assess defect types
and concentrations in semiconductors.


title:
First Detection of Cosmic Microwave Background Lensing and
  Lyman-{\alpha} Forest Bispectrum

abstract:
  We present the first detection of a correlation between the Lyman-$\alpha$
forest and cosmic microwave background (CMB) lensing. For each Lyman-$\alpha$
forest in SDSS-III/BOSS DR12, we correlate the one-dimensional power spectrum
with the CMB lensing convergence on the same line of sight from Planck. This
measurement constitutes a position-dependent power spectrum, or a squeezed
bispectrum, and quantifies the non-linear response of the Lyman-$\alpha$ forest
power spectrum to a large-scale overdensity. The signal is measured at
5~$\sigma$ and is consistent with the $\Lambda$CDM expectation. We measure the
linear bias of the Lyman-$\alpha$ forest with respect to the dark matter
distribution, and constrain a combination of non-linear terms including the
non-linear bias. This new observable provides a consistency check for the
Lyman-$\alpha$ forest as a large-scale structure probe and tests our
understanding of the relation between intergalactic gas and dark matter. In the
future, it could be used to test hydrodynamical simulations and calibrate the
relation between the Lyman-$\alpha$ forest and dark matter.


title: San Francisco Crime Classification

abstract:
  San Francisco Crime Classification is an online competition administered by
Kaggle Inc. The competition aims at predicting the future crimes based on a
given set of geographical and time-based features. In this paper, I achieved a
an accuracy that ranks at top %18, as of May 19th, 2016. I will explore the
data, and explain in details the tools I used to achieve that result.


title:
Hamiltonian group actions on exact symplectic manifolds with proper
  momentum maps are standard

abstract:
  We give a complete characterization of Hamiltonian actions of compact Lie
groups on exact symplectic manifolds with proper momentum maps. We deduce that
every Hamiltonian action of a compact Lie group on a contractible symplectic
manifold with a proper momentum map is globally linearizable.


title: Quark mass dependence of H-dibaryon

abstract:
  The H-dibaryon is the exotic multiquark state with baryon number 2 and
strangeness $-2$. The existence of the deeply bound H-dibaryon is excluded by
the observation of the double hypernuclei. However the recent Lattice QCD
simulations have found the bound state below the $\Lambda\Lambda$ threshold
with large quark masses by HALQCD and NPLQCD collaborations. In this talk, the
quark mass dependence of the H-dibaryon mass is discussed using the pionless
effective field theory (EFT) where a bare H-dibaryon field is coupled with
two-baryon states. We determine the parameters in this theory by fitting the
recent Lattice QCD results in the SU(3) limit. As a result, we obtain the
attractive scattering length at the physical point where the H-dibaryon is
unbound.


title: Private Multi-party Matrix Multiplication and Trust Computations

abstract:
  This paper deals with distributed matrix multiplication. Each player owns
only one row of both matrices and wishes to learn about one distinct row of the
product matrix, without revealing its input to the other players. We first
improve on a weighted average protocol, in order to securely compute a
dot-product with a quadratic volume of communications and linear number of
rounds. We also propose a protocol with five communication rounds, using a
Paillier-like underlying homomorphic public key cryptosystem, which is secure
in the semi-honest model or secure with high probability in the malicious
adversary model. Using ProVerif, a cryptographic protocol verification tool, we
are able to check the security of the protocol and provide a countermeasure for
each attack found by the tool. We also give a randomization method to avoid
collusion attacks. As an application, we show that this protocol enables a
distributed and secure evaluation of trust relationships in a network, for a
large class of trust evaluation schemes.


title:
A new relativistic hydrodynamics code for high-energy heavy-ion
  collisions

abstract:
  We construct a new Godunov type relativistic hydrodynamics code in Milne
coordinates, using a Riemann solver based on the two-shock approximation which
is stable under the existence of large shock waves. We check the correctness of
the numerical algorithm by comparing numerical calculations and analytical
solutions in various problems, such as shock tubes, expansion of matter into
the vacuum, the Landau-Khalatnikov solution, and propagation of fluctuations
around Bjorken flow and Gubser flow. We investigate the energy and momentum
conservation property of our code in a test problem of longitudinal
hydrodynamic expansion with an initial condition for high-energy heavy-ion
collisions. We also discuss numerical viscosity in the test problems of
expansion of matter into the vacuum and conservation properties. Furthermore,
we discuss how the numerical stability is affected by the source terms of
relativistic numerical hydrodynamics in Milne coordinates.


title:
Simulation paradoxes related to a fractional Brownian motion with small
  Hurst index

abstract:
  We consider the simulation of sample paths of a fractional Brownian motion
with small values of the Hurst index and estimate the behavior of the expected
maximum. We prove that, for each fixed $N$, the error of approximation $\mathbf
{E}\max_{t\in[0,1]}B^H(t)-\mathbf {E}\max_{i=\overline{1,N}}B^H(i/N)$ grows
rapidly to $\infty$ as the Hurst index tends to 0.


title:
The HADES RV Programme with HARPS-N@TNG - GJ 3998: An early M-dwarf
  hosting a system of Super-Earths

abstract:
  Context. M dwarfs are considered ideal targets for Doppler radial velocity
searches. Nonetheless, the statistics of frequency of low-mass planets hosted
by low mass stars remains poorly constrained. Aims. Our M-dwarf radial velocity
monitoring with HARPS-N can provide a major contribution to the widening of the
current statistics through the in-depth analysis of accurate radial velocity
observations in a narrow range of spectral sub-types (79 stars, between dM0 to
dM3). Spectral accuracy will enable us to reach the precision needed to detect
small planets with a few earth masses. Our survey will bring a contribute to
the surveys devoted to the search for planets around M-dwarfs, mainly focused
on the M-dwarf population of the northern emisphere, for which we will provide
an estimate of the planet occurence. Methods. We present here a long duration
radial velocity monitoring of the M1 dwarf star GJ 3998 with HARPS-N to
identify periodic signals in the data. Almost simultaneous photometric
observations were carried out within the APACHE and EXORAP programs to
characterize the stellar activity and to distinguish from the periodic signals
those due to activity and to the presence of planetary companions. Results. The
radial velocities have a dispersion in excess of their internal errors due to
at least four superimposed signals, with periods of 30.7, 13.7, 42.5 and 2.65
days. The analysis of spectral indices based on Ca II H & K and Halpha lines
demonstrates that the periods of 30.7 and 42.5 days are due to chromospheric
inhomogeneities modulated by stellar rotation and differential rotation. The
shorter periods of 13.74 +/- 0.02 d and 2.6498 +/- 0.0008 d are well explained
with the presence of two planets, with minimum masses of 6.26 +/- 0.79 MEarth
and 2.47 +/- 0.27 MEarth and distances of 0.089 AU and 0.029 AU from the host,
respectively.


title:
Optimal decay rate for the wave equation on a square with constant
  damping on a strip

abstract:
  We consider the damped wave equation with Dirichlet boundary conditions on
the unit square. We assume the damping to be a characteristic function of a
strip. We prove the exact $t^{-4/3}$-decay rate for the energy of classical
solutions. This answers a question of Anantharaman and L\'eautaud (2014).


title: Relative $\dbar$-complex and its curvature properties

abstract:
  We shall define the relative $\dbar$-complex and study the curvature
properties of the associated vector bundles. As an application, we shall prove
that Yamaguchi's theory on subharmonicity of the Green operator can be seen as
a curvature property of the quotient bundle. A short survey of other recent
applications will also be given in this paper.


title:
Tunable symmetries of integer and fractional quantum Hall phases in
  heterostructures with multiple Dirac bands

abstract:
  The co-presence of multiple Dirac bands in few-layer graphene leads to a rich
phase diagram in the quantum Hall regime. Using transport measurements, we map
the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a
function charge density n, magnetic field B and interlayer displacement field
D, and observe transitions among states with different spin, valley, orbital
and parity polarizations. Such rich pattern arises from crossings between
Landau levels from different subbands, which reflect the evolving symmetries
that are tunable in situ. At D=0, we observe fractional quantum Hall (FQH)
states at filling factors 2/3 and -11/3. Unlike those in bilayer graphene,
these FQH states are destabilized by a small interlayer potential that
hybridizes the different Dirac bands.


title:
Sardinia Radio Telescope wide-band spectral-polarimetric observations of
  the galaxy cluster 3C 129

abstract:
  We present new observations of the galaxy cluster 3C 129 obtained with the
Sardinia Radio Telescope in the frequency range 6000-7200 MHz, with the aim to
image the large-angular-scale emission at high-frequency of the radio sources
located in this cluster of galaxies. The data were acquired using the
recently-commissioned ROACH2-based backend to produce full-Stokes image cubes
of an area of 1 deg x 1 deg centered on the radio source 3C 129. We modeled and
deconvolved the telescope beam pattern from the data. We also measured the
instrumental polarization beam patterns to correct the polarization images for
off-axis instrumental polarization. Total intensity images at an angular
resolution of 2.9 arcmin were obtained for the tailed radio galaxy 3C 129 and
for 13 more sources in the field, including 3C 129.1 at the galaxy cluster
center. These data were used, in combination with literature data at lower
frequencies, to derive the variation of the synchrotron spectrum of 3C 129
along the tail of the radio source. If the magnetic field is at the
equipartition value, we showed that the lifetimes of radiating electrons result
in a radiative age for 3C 129 of t_syn = 267 +/- 26 Myrs. Assuming a linear
projected length of 488 kpc for the tail, we deduced that 3C 129 is moving
supersonically with a Mach number of M=v_gal/c_s=1.47. Linearly polarized
emission was clearly detected for both 3C 129 and 3C 129.1. The linear
polarization measured for 3C 129 reaches levels as high as 70% in the faintest
region of the source where the magnetic field is aligned with the direction of
the tail.


title: Can a quantum state over time resemble a quantum state at a single time?

abstract:
  Standard quantum theory represents a composite system at a given time by a
joint state, but it does not prescribe a joint state for a composite of systems
at different times. If a more even-handed treatment of space and time is
possible, then such a joint state should be definable, and one might expect it
to satisfy the following five conditions: that it is a Hermitian operator on
the tensor product of the single-time Hilbert spaces; that it represents
probabilistic mixing appropriately; that it has the appropriate classical
limit; that it has the appropriate single-time marginals; that composing over
multiple time-steps is associative. We show that no construction satisfies all
these requirements. If an even-handed treatment of space and time is possible,
therefore, one or more axioms must be dropped. In particular, if Hermiticity is
dropped, then we show that the construction is fixed uniquely up to an ordering
convention.


title:
Boundaries Determine the Formation Energies of Lattice Defects in
  Two-Dimensional Buckled Materials

abstract:
  Lattice defects are inevitably present in two-dimensional materials, with
direct implications on their physical and chemical properties. We show that the
formation energy of a lattice defect in buckled two-dimensional crystals is not
uniquely defined as it takes different values for different boundary conditions
even in the thermodynamic limit, as opposed to their perfectly planar
counterparts. Also, the approach to the thermodynamic limit follows a different
scaling: inversely proportional to the logaritm of the system size for buckled
materials, rather than the usual power-law approach. In graphene samples of
$\sim 1000$ atoms, different boundary conditions can cause differences
exceeding 10 eV. Besides presenting numerical evidence in simulations, we show
that the universal features in this behavior can be understood with simple
bead-spring models. Fundamentally, our findings imply that it is necessary to
specify the boundary conditions for the energy of the lattice defects in the
buckled two-dimensional crystals to be uniquely defined, and this may explain
the lack of agreement in the reported values of formation energies in graphene.
We argue that boundary conditions may also have impact on other physical
observables such as the melting temperature.


title:
Anisotropic Phonon Transport, Thermal Expansion and Thermomechanics in
  Monolayer Td-WTe2

abstract:
  In this paper, we elaborately investigate the phonon transport, thermal
expansion and thermomechanics of monolayer Td-WTe2 by using first-principles.


title: Decays of the vector glueball

abstract:
  We calculate two- and three-body decays of the (lightest) vector glueball
into (pseudo)scalar, (axial-)vector, as well as pseudovector and excited vector
mesons\textbf{ }in the framework of a model of QCD. While absolute values of
widths cannot be predicted because the corresponding coupling constants are
unknown, some interesting branching ratios can be evaluated\textbf{ }by setting
the mass of the yet hypothetical vector glueball to $3.8$ GeV as predicted by
quenched Lattice QCD\textbf{.} We find that the decay mode $\omega\pi\pi$
should be one of the largest (both through the decay chain
$\mathcal{O}\rightarrow b_{1}\pi\rightarrow$ $\omega\pi\pi$ and through the
direct coupling $\mathcal{O}\rightarrow\omega\pi\pi$)$.$ Similarly, the (direct
and indirect) decay into $\pi KK^{\ast}(892)$ is sizable. Moreover, the decays
into $\rho\pi$ and $K^{\ast}(892)K$ are, although subleading, possible and
could play a role in explaining the $\rho\pi$ puzzle of the charmonium state
$\psi(2S)$ thank to a (small) mixing with the vector glueball. The vector
glueball can be directly formed at the ongoing BESIII experiment as well as at
the future PANDA experiment at the FAIR facility. If the width is sufficiently
small ($\lesssim100$ MeV) it should not escape future detection. It should be
stressed that the employed model is based on some inputs and simplifying
assumptions: the value of glueball mass (at present, the quenched lattice value
is used), the lack of mixing of the glueball with other quarkonium states, and
the use of few interaction terms. It then represents a first step toward the
identification of the main decay channels of the vector glueball, but shall be
improved when corresponding experimental candidates and/or new lattice results
will be available.


title: Thermoelectric transport and Peltier cooling of cold atomic gases

abstract:
  This brief review presents the emerging field of mesoscopic physics with cold
atoms, with an emphasis on thermal and 'thermoelectric' transport, i.e. coupled
transport of particle and entropy. We review in particular the comparison
between theoretically predited and experimentally observed thermoelectric
effects in such systems. We also show how combining well designed transport
properties and evaporative cooling leads to an equivalent of the Peltier effect
with cold atoms, which can be used as a new cooling procedure with improved
cooling power and efficiency compared to the evaporative cooling currently used
in atomic gases. This could lead to a new generation of experiments probing
strong correlation effects of ultracold fermionic atoms at low temperatures.


title: Conversions between Electrical Network Representations

abstract:
  The behaviour of electrical networks can be described with many different
representations, each with their distinct benefits. In this paper, we consider
Z, Y, G, H, ABCD, S and T parameters. Formulas exist to go from one
representation to another, but implementing them is an error-prone procedure.
In this paper, we present a more elegant way to implement the transformations
based on matrix calculations.


title:
Lorentz-violating type-II Dirac fermions in transition metal
  dichalcogenide PtTe$_2$

abstract:
  Topological semimetals have recently attracted extensive research interests
as host materials to condensed matter physics counterparts of Dirac and Weyl
fermions originally proposed in high energy physics. These fermions with linear
dispersions near the Dirac or Weyl points obey Lorentz invariance, and the
chiral anomaly leads to novel quantum phenomena such as negative
magnetoresistance. The Lorentz invariance is, however, not necessarily
respected in condensed matter physics, and thus Lorentz-violating type-II Dirac
fermions with strongly tilted cones can be realized in topological semimetals.
Here, we report the first experimental evidence of type-II Dirac fermions in
bulk stoichiometric PtTe$_2$ single crystal. Angle-resolved photoemission
spectroscopy (ARPES) measurements and first-principles calculations reveal a
pair of strongly tilted Dirac cones along the $\Gamma$-A direction under the
symmetry protection, confirming PtTe$_2$ as a type-II Dirac semimetal. The
realization of type-II Dirac fermions opens a new door for exotic physical
properties distinguished from type-I Dirac fermions in condensed matter
materials.


title: Model category structures \`a la Thomason on 2-Cat

abstract:
  In his paper "Th\'eories homotopiques des 2-cat\'egories", Jonathan Chiche
studies homotopy theories on 2-Cat, the category of small strict 2-categories,
given by classes of weak equivalences which he calls basic localizers of 2-Cat.
These basic localizers of 2-Cat are a 2-categorical generalization of the
notion of a basic localizer introduced by Grothendieck in "Pursuing stacks". In
this paper, we deduce from the results of Jonathan Chiche and results we have
obtained with Georges Maltsiniotis that for essentially every basic localizer W
of 2-Cat, there exists a model category structure \`a la Thomason on 2-Cat
whose weak equivalences are given by W. We show that these model category
structures model exactly combinatorial left Bousfield localization of the
classical homotopy theory of simplicial sets.


title: Characterization of parabolic Hardy spaces by Littlewood-Paley functions

abstract:
  We consider Littlewood-Paley functions associated with non-isotropic
dilations. We prove that they can be used to characterize the parabolic Hardy
spaces of Calder\'{o}n-Torchinsky.


title:
Precision spatial measurement of the hot rubidium atom in the
  three-dimension

abstract:
  The interaction of hot atoms with laser fields experiences a Doppler shift
which can severely affect the precise spatial measurement of an atom. We
suggest an experimentally realizable scheme to address this issue in
three-dimension position measurement of a single atom in vapors of rubidium
atoms. Three-level lambda type atom-field configuration is considered where a
moving atom interacts with three orthogonal standing-wave laser fields and
spatial information of the atom in 3D space is obtained via upper-level
population using a weak probe laser field. The atom moves with a velocity along
the probe laser field and due to the Doppler broadening the precision in the
spatial information deteriorates significantly. It is reported that via a
microwave field the precision in the position measurement of the single atom
can be obtained in the hot rubidium atom overcoming the limitation posed by the
Doppler shift.


title:
Comment on "How many principles does it take to change a light bulb ...
  into a laser?" by Howard M. Wiseman, Physica Scripta 91 (3), 033001 (2016)

abstract:
  In this comment on "How many principles does it take to change a light bulb
... into a laser?" by Howard M. Wiseman, Physica Scripta 91 (3), 033001 (2016)
I am analyzing this extremely nicely formulated question in the framework of
the Hanbury-Brown & Twiss experiment thus celebrating also its 60th
anniversary. I am giving a straightforward, concise and unique answer on this
question, emphasizing that the intensity correlations or the photon statistics
make the difference between a light bulb and a laser.


title: Stochastic TDHF in an exactly solvable model

abstract:
  We apply in a schematic model a theory beyond mean-field, namely Stochastic
Time-Dependent Hartree-Fock (STDHF), which includes dynamical electron-electron
collisions on top of an incoherent ensemble of mean-field states by occasional
2-particle-2-hole ($2p2h$) jumps. The model considered here is inspired by a
Lipkin-Meshkov-Glick model of $\Omega$ particles distributed into two bands of
energy and coupled by a two-body interaction. Such a model can be exactly
solved (numerically though) for small $\Omega$. It therefore allows a direct
comparison of STDHF and the exact propagation. The systematic impact of the
model parameters as the density of states, the excitation energy and the
bandwidth is presented and discussed. The time evolution of the STDHF compares
fairly well with the exact entropy, as soon as the excitation energy is
sufficiently large to allow $2p2h$ transitions. Limitations concerning low
energy excitations and memory effects are also discussed.


title: LTL-based Verification of Reconfigurable Workflows

abstract:
  Logics and model-checking have been successfully used in the last decades for
modeling and verification of various types of hardware (and software) systems.
While most languages and techniques emerged in a context of monolithic systems
with a limited self-adaptability, modern systems require approaches able to
cope with dynamically changing requirements and emergent behaviors. The
emphasis on system reconfigurability has not been followed by an adequate
research effort, and the current state of the art lacks logics and model
checking paradigms that can describe and analyze complex modern systems in a
comprehensive way. This paper describes a case study involving the dynamic
reconfiguration of an office workflow. We state the requirements on a system
implementing the workflow and its reconfiguration and we prove workflow
reconfiguration termination by providing a compilation of generic workflows
into LTL, using the Bound model checker Zot. The objective of this paper is
demonstrating how temporal logics and model checking are effective in proving
properties of dynamic, reconfigurable and adaptable systems. This simple case
study is just a "proof of concept" to demonstrate the feasibility of our ideas.


title:
The Goldman and Fock-Goncharov coordinates for convex projective
  structures on surfaces

abstract:
  Let P(S) be the space of convex projective structures on a surface S with
negative Euler characteristic. Goldman and Bonahon-Dreyer constructed two
different sets of global coordinates for P(S), both associated to a pair of
pants decomposition of the surface S. The article explicitly describes the
coordinate change between these two parametrizations. Most of the arguments are
concentrated in the case where S is a pair of pants, in which case the
Bonahon-Dreyer coordinates are actually due to Fock-Goncharov.


title: $r-$Bell polynomials in combinatorial Hopf algebras

abstract:
  We introduce partial $r$-Bell polynomials in three combinatorial Hopf
algebras. We prove a factorization formula for the generating functions which
is a consequence of the Zassenhauss formula.


title: Dimension rigidity of lattices in semisimple Lie groups

abstract:
  We prove that if $\Gamma$ is a lattice in the group of isometries of a
symmetric space of non-compact type without euclidean factors, then the virtual
cohomological dimension of $\Gamma$ equals its proper geometric dimension.


title:
QPO frequency derivative - frequency correlation indicates non-Keplerian
  boundary layer with a maximum in rotation rate

abstract:
  The correlation between the frequency and the absolute value of the frequency
derivative of the kilohertz QPOs observed for the first time from 4U 1636-53 is
a simple consequence and indicator of the existence of a non-Keplerian rotation
rate in the accretion disk boundary layer. This paper interprets the observed
correlation, showing that the observations provide strong evidence in support
of the fundamental assumption of disk accretion models around slow rotators,
that the boundary layer matches the Keplerian disk to the neutron star
magnetosphere.


title: How to discretize the differential forms on the interval

abstract:
  We provide explicit quasi-isomorphisms between the following three algebraic
structures associated to the unit interval: i) the commutative dg algebra of
differential forms, ii) the non-commutative dg algebra of simplicial cochains
and iii) the Whitney forms, equipped with a homotopy commutative and homotopy
associative, i.e. $C_\infty$, algebra structure. Our main interest lies in a
natural `discretization' $C_\infty$ quasi-isomorphism $\varphi$ from
differential forms to Whitney forms. We establish a uniqueness result that
implies that $\varphi$ coincides with the morphism from homotopy transfer, and
obtain several explicit formulas for $\varphi$, all of which are related to the
Magnus expansion. In particular, we recover combinatorial formulas for the
Magnus expansion due to Mielnik and Pleba\'nski.


title:
Automorphism groups of linearly ordered structures and endomorphisms of
  the ordered set $(\mathbb{Q},{\leq})$ of rational numbers

abstract:
  We investigate the structure of the monoid of endomorphisms of the ordered
set $(\mathbb{Q},{\leq})$ of rational numbers. We show that for any countable
linearly ordered set $\Omega$, there are uncountably many maximal subgroups of
$\operatorname{End}(\mathbb{Q},{\leq})$ isomorphic to the automorphism group of
$\Omega$. We characterise those subsets $X$ of $\mathbb{Q}$ that arise as a
retract in $(\mathbb{Q},{\leq})$ in terms of topological information concerning
$X$. Finally, we establish that a countable group arises as the automorphism
group of a countable linearly ordered set, and hence as a maximal subgroup of
$\operatorname{End}(\mathbb{Q},{\leq})$, if and only if it is free abelian of
finite rank.


title:
Digital quantum simulation of $\mathbb{Z}_2$ lattice gauge theories with
  dynamical fermionic matter

abstract:
  We propose a scheme for digital quantum simulation of lattice gauge theories
with dynamical fermions. Using a layered optical lattice with ancilla atoms
that can move and interact with the other atoms (simulating the physical
degrees of freedom), we obtain a stroboscopic dynamics which yields the
four-body plaquette interactions, arising in models with $2+1$ and higher
dimensions, without the use of perturbation theory. As an example we show how
to simulate a $\mathbb{Z}_2$ model in $2+1$ dimensions.

categories: quant-ph cond-mat.quant-gas hep-lat hep-th


title: Homotopy theory with bornological coarse spaces

abstract:
  We propose an axiomatic characterization of coarse homology theories defined
on the category of bornological coarse spaces. We construct a category of
motivic coarse spectra. Our focus is the classification of coarse homology
theories and the construction of examples. We show that if a transformation
between coarse homology theories induces an equivalence on all discrete
bornological coarse spaces, then it is an equivalence on bornological coarse
spaces of finite asymptotic dimension. The example of coarse K-homology will be
discussed in detail.


title: X-ray emission from single Wolf-Rayet stars

abstract:
  This review briefly summarizes our knowledge of the X-ray emission from
single WN, WC, and WO stars. These stars have relatively modest X-ray
luminosities, typically not exceeding L_sun. The analysis of X-ray spectra
usually reveals thermal plasma with temperatures reaching a few 10 MK. X-ray
variability is detected in some WN stars. At present we don't fully understand
how X-ray radiation in produced in WR stars, albeit there are some promising
research avenues, such as the presence of CIRs in the winds of some stars. To
fully understand WR stars we need to unravel mechanisms of X-ray production in
their winds.


title: Open, privacy-preserving protocols for lawful surveillance

abstract:
  The question of how government agencies can acquire actionable, useful
information about legitimate but unknown targets without intruding upon the
electronic activity of innocent parties is extremely important. We address this
question by providing experimental evidence that actionable, useful information
can indeed be obtained in a manner that preserves the privacy of innocent
parties and that holds government agencies accountable. In particular, we
present practical, privacy-preserving protocols for two operations that
law-enforcement and intelligence agencies have used effectively: set
intersection and contact chaining. Experiments with our protocols suggest that
privacy-preserving contact chaining can perform a 3-hop privacy-preserving
graph traversal producing 27,000 ciphertexts in under two minutes. These
ciphertexts are usable in turn via privacy-preserving set intersection to
pinpoint potential unknown targets within a body of 150,000 total ciphertexts
within 10 minutes, without exposing personal information about non-targets.


title: Proximal minimization in CAT$(\kappa)$ spaces

abstract:
  In this note, we provide convergence results for the proximal point algorithm
and a splitting variant thereof in the setting of CAT$(\kappa)$ spaces with
$\kappa > 0$ using a recent definition for the resolvent of a convex, lower
semi-continuous function due to Kimura and Kohsaka (J. Fixed Point Theory Appl.
18 (2016), 93-115).


title:
Asymptotic behavior of homogeneous additive functionals of the solutions
  of It\^{o} stochastic differential equations with nonregular dependence on
  parameter

abstract:
  We study the asymptotic behavior of mixed functionals of the form
$I_T(t)=F_T(\xi_T(t))+\int_0^tg_T(\xi_T(s))\,d\xi_T(s)$, $t\ge0$, as
$T\to\infty$. Here $\xi_T(t)$ is a strong solution of the stochastic
differential equation $d\xi_T(t)=a_T(\xi_T(t))\,dt+dW_T(t)$, $T>0$ is a
parameter, $a_T=a_T(x)$ are measurable functions such that
$\left|a_T(x)\right|\leq C_T$ for all $x\in \mathbb {R}$, $W_T(t)$ are standard
Wiener processes, $F_T=F_T(x)$, $x\in \mathbb {R}$, are continuous functions,
$g_T=g_T(x)$, $x\in \mathbb {R}$, are locally bounded functions, and everything
is real-valued. The explicit form of the limiting processes for $I_T(t)$ is
established under very nonregular dependence of $g_T$ and $a_T$ on the
parameter $T$.


title:
Concave-convex nonlinearities for some nonlinear fractional equations
  involving the Bessel operator

abstract:
  We prove some existence results for a class of nonlinear fractional equations
driven by a nonlocal operator.


title:
Jet energy scale and resolution in the CMS experiment in pp collisions
  at 8 TeV

abstract:
  Improved jet energy scale corrections, based on a data sample corresponding
to an integrated luminosity of 19.7 inverse-femtobarns collected by the CMS
experiment in proton-proton collisions at a center-of-mass energy of 8 TeV, are
presented. The corrections as a function of pseudorapidity eta and transverse
momentum pT are extracted from data and simulated events combining several
channels and methods. They account successively for the effects of pileup,
uniformity of the detector response, and residual data-simulation jet energy
scale differences. Further corrections, depending on the jet flavor and
distance parameter (jet size) R, are also presented. The jet energy resolution
is measured in data and simulated events and is studied as a function of
pileup, jet size, and jet flavor. Typical jet energy resolutions at the central
rapidities are 15-20% at 30 GeV, about 10% at 100 GeV, and 5% at 1 TeV. The
studies exploit events with dijet topology, as well as photon+jet, Z+jet and
multijet events. Several new techniques are used to account for the various
sources of jet energy scale corrections, and a full set of uncertainties, and
their correlations, are provided. The final uncertainties on the jet energy
scale are below 3% across the phase space considered by most analyses (pT > 30
GeV and abs(eta) < 5.0). In the barrel region (abs(eta) < 1.3) an uncertainty
below 1% for pT > 30 GeV is reached, when excluding the jet flavor
uncertainties, which are provided separately for different jet flavors. A new
benchmark for jet energy scale determination at hadron colliders is achieved
with 0.32% uncertainty for jets with pT of the order of 165-330 GeV, and
abs(eta) < 0.8.


title: Multiple reductions, foliations and the dynamics of cluster maps

abstract:
  Presymplectic and Poisson reduction of cluster maps are described in terms of
the "canonical" foliations of presymplectic and Poisson manifolds. This
approach to reduction leads to a geometric description, in terms of foliations,
of the dynamics of the original (not reduced) map. The case where multiple
reductions exist (presymplectic/Poisson or presymplectic/Poisson/Poisson) is
further explored and examples illustrating several features of this approach
are presented, including a nontrivial one in dimension seven which is
comprehensively treated.


title: Energy- and Spectral-Efficiency Tradeoff in Full-Duplex Communications

abstract:
  This paper investigates the tradeoff between energyefficiency (EE) and
spectral-efficiency (SE) for full-duplex (FD) enabled cellular networks.We
assume that small cell base stations are working in the FD mode while user
devices still work in the conventional half-duplex (HD) mode. First, a
necessary condition for a FD transceiver to achieve better EE-SE tradeoff than
a HD one is derived. Then, we analyze the EE-SE relation of a FD transceiver in
the scenario of single pair of users and obtain a closed-form expression. Next,
we extend the result into the multiuser scenario and prove that EE is a
quasi-concave function of SE in general and develop an optimal algorithm to
achieve the maximum EE based on the Lagrange dual method. Our analysis is
finally verified by extensive numerical results.


title: Solvent mediated forces in critical fluids

abstract:
  The effective interaction between two planar walls immersed in a fluid is
investigated by use of Density Functional Theory in the super-critical region
of the phase diagram. A hard core Yukawa model of fluid is studied with special
attention to the critical region. To achieve this goal a new formulation of the
Weighted Density Approximation coupled with the Hierarchical Reference Theory,
able to deal with critical long wavelength fluctuations, is put forward and
compared with other approaches. The effective interaction between the walls is
seen to change character on lowering the temperature: The strong oscillations
induced by layering of the molecules, typical of the depletion mechanism in
hard core systems, are gradually smoothed and, close to the critical point, a
long range attractive tail emerges leading to a scaling form which agrees with
the expectations based on the critical Casimir effect. Strong corrections to
scaling are seen to affect the results up to very small reduced temperatures.
By use of Derjaguin approximation, this investigation has natural implications
for the aggregation of colloidal particles in critical solvents.


title: On numerical Newton-Okounkov bodies and the existence of Minkowski bases

abstract:
  Towards the boundary of the big cone, Newton-Okounkov bodies do not vary
continuously and in fact the body of a boundary class is not well defined.
Using the global Okounkov body one can nonetheless define a numerical
invariant, the numerical Newton-Okounkov body. We show that if a normal
projective variety has a rational polyhedral global Okounkov body, it admits a
Minkowski basis provided one includes numerical Newton-Okounkov bodies above
non-big classes. Under the same assumption, we also show that the dimension of
the numerical Newton-Okounkov body is the numerical Kodaira dimension.


title:
Multiplicity and concentration behavior of solutions to the critical
  Kirchhoff type problem

abstract:
  In this paper, we study the multiplicity and concentration of the positive
solutions to the following critical Kirchhoff type problem: \begin{equation*}
  -\left(\varepsilon^2 a+\varepsilon b\int_{\R^3}|\nabla u|^2\mathrm{d}
x\right)\Delta u + V(x) u = f(u)+u^5\ \ {\rm in } \ \ \R^3, \end{equation*}
where $\varepsilon$ is a small positive parameter, $a$, $b$ are positive
constants, $V \in C(\mathbb{R}^3)$ is a positive potential, $f \in C^1(\R^+,
\R)$ is a subcritical nonlinear term, $u^5$ is a pure critical nonlinearity.
When $\varepsilon>0$ small, we establish the relationship between the number of
positive solutions and the profile of the potential $V$. The exponential decay
at infinity of the solution is also obtained. In particular, we show that each
solution concentrates around a local strict minima of $V$ as $\varepsilon
\rightarrow 0$.


title:
Search for high-mass new phenomena in the dilepton final state using
  proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

abstract:
  A search is conducted for both resonant and non-resonant high-mass new
phenomena in dielectron and dimuon final states. The search uses 3.2 fb$^{-1}$
of proton-proton collision data, collected at $\sqrt{s} = 13$ TeV by the ATLAS
experiment at the LHC in 2015. The dilepton invariant mass is used as the
discriminating variable. No significant deviation from the Standard Model
prediction is observed; therefore limits are set on the signal model parameters
of interest at 95% credibility level. Upper limits are set on the cross-section
times branching ratio for resonances decaying to dileptons, and the limits are
converted into lower limits on the resonance mass, ranging between 2.74 TeV and
3.36 TeV, depending on the model. Lower limits on the $\ell\ell qq$ contact
interaction scale are set between 16.7 TeV and 25.2 TeV, also depending on the
model.


title: Q-binomials and non-continuity of the p-adic Fourier transform

abstract:
  Let F be a finite extension of Q_p. We show that every Schwartz function on
F, with values in an algebraic closure of Q_p, is the uniform limit of a
sequence of Schwartz functions, whose Fourier transforms tend uniformly to 0.
The proof uses the notion of q-binomial coefficients and some classical
identities between them.


title:
On The Use of Conjugate Teager-Kaiser Energy Operators with Matched
  Filters

abstract:
  This work presents the proof of concept of using energy operator theory based
on the conjugate Teager-Kaiser energy operators in matched filters for signal
detection in multipath fading channels. To do so, we consider signals in the
space $\mathcal{S}(\mathbb{R})$ a subspace of the Schwartz space
$\mathbf{S}^-(\mathbb{R})$ in order to approximate the received signal. These
functions obey to some specific properties as shown in this work. It allows to
decompose the received signals into subchannels with their own
Signal-to-Noise-Ratio.


title: Elastic Instabilities in Flows through Pillared Micro channels

abstract:
  Viscoelastic fluids exhibit elastic instabilities in simple shear flow and
flow through curved streamlines. Surprisingly, we found in a porous medium such
fluids show strikingly different hydrodynamic instabilities depicted by very
large sideways excursions and presence of fast and slow moving lanes which have
not been reported before. Particle image velocimetry (PIV) measurements through
a pillared microchannel, provide experimental evidence of such instabilities at
very low Reynolds number (< 0.01). We observe a transition from a symmetric
laminar to an asymmetric flow, which finally transforms to a nonlinear
aperiodic flow with strong lateral movements. The instability is characterized
by a rapid increase in spatial and temporal fluctuations of velocity components
and pressure at a critical Deborah number (De). Our experiments reveal the
presence of a fascinating interplay between pore space and fluid rheology.


title: The Fossil Nuclear Outflow in the Central 30 pc of the Galactic Center

abstract:
  We report a new 1-pc (30") resolution CS($J=2-1$) line map of the central 30
pc of the Galactic Center (GC), made with the Nobeyama 45m telescope. We
revisit our previous study of the extraplanar feature called polar arc (PA),
which is a molecular cloud located above SgrA* with a velocity gradient
perpendicular to the Galactic plane. We find that the PA can be traced back to
the Galactic disk. This provides clues of the launching point of the PA ,
roughly $6\times10^{6}$ years ago. Implications of the dynamical time scale of
the PA might be related to the Galactic Center Lobe (GCL) at parsec scale. Our
results suggest that in the central 30 pc of the GC, the feedback from past
explosions could alter the orbital path of the molecular gas down to the
central tenth of parsec. In the follow-up work of our new CS($J=2-1$) map, we
also find that near the systemic velocity, the molecular gas shows an
extraplanar hourglass-shaped feature (HG-feature) with a size of $\sim$13 pc.
The latitude-velocity diagrams show that the eastern edge of the HG-feature is
associated with an expanding bubble B1, $\sim$7 pc away from SgrA*. The
dynamical time scale of this bubble is $\sim3\times10^{5}$ years. This bubble
is interacting with the 50 km s$^{-1}$ cloud. Part of the molecular gas from
the 50 km s$^{-1}$ cloud was swept away by the bubble to $b=-0.2deg$. The
western edge of the HG-feature seems to be the molecular gas entrained from the
20 km s$^{-1}$ cloud towards the north of the Galactic disk. Our results
suggest a fossil explosion in the central 30 pc of the GC a few 10$^{5}$ years
ago.


title:
High-velocity extended molecular outflow in the star-formation dominated
  luminous infrared galaxy ESO 320-G030

abstract:
  We analyze new high spatial resolution (~60 pc) ALMA CO(2-1) observations of
the isolated luminous infrared galaxy ESO 320-G030 (d=48 Mpc) in combination
with ancillary HST optical and near-IR imaging as well as VLT/SINFONI near-IR
integral field spectroscopy. We detect a high-velocity (~450 km/s) spatially
resolved (size~2.5 kpc; dynamical time ~3 Myr) massive (~10^7 Msun; mass
rate~2-8 Msun/yr) molecular outflow originated in the central ~250 pc. We
observe a clumpy structure in the outflowing cold molecular gas with clump
sizes between 60 and 150 pc and masses between 10^5.5 and 10^6.4 Msun. The mass
of the clumps decreases with increasing distance, while the velocity is
approximately constant. Therefore, both the momentum and kinetic energy of the
clumps decrease outwards. In the innermost (~100 pc) part of the outflow, we
measure a hot-to-cold molecular gas ratio of 7x10^-5, which is similar to that
measured in other resolved molecular outflows. We do not find evidence of an
ionized phase in this outflow. The nuclear IR and radio properties are
compatible with strong and highly obscured star-formation (A_k ~ 4.6 mag;
SFR~15 Msun/yr). We do not find any evidence for the presence of an active
galactic nucleus. We estimate that supernova explosions in the nuclear
starburst (\nu(SN) ~ 0.2 yr^-1) can power the observed molecular outflow. The
kinetic energy and radial momentum of the cold molecular phase of the outflow
correspond to about 2% and 20%, respectively, of the supernovae output. The
cold molecular outflow velocity is lower than the escape velocity, so the gas
will likely return to the galaxy disk. The mass loading factor is ~0.1-0.5, so
the negative feedback due to this star-formation powered molecular outflow is
probably limited.


title: Determinantal point process models on the sphere

abstract:
  We consider determinantal point processes on the $d$-dimensional unit sphere
$\mathbb S^d$. These are finite point processes exhibiting repulsiveness and
with moment properties determined by a certain determinant whose entries are
specified by a so-called kernel which we assume is a complex covariance
function defined on $\mathbb S^d\times\mathbb S^d$. We review the appealing
properties of such processes, including their specific moment properties,
density expressions and simulation procedures. Particularly, we characterize
and construct isotropic DPPs models on $\mathbb{S}^d$, where it becomes
essential to specify the eigenvalues and eigenfunctions in a spectral
representation for the kernel, and we figure out how repulsive isotropic DPPs
can be. Moreover, we discuss the shortcomings of adapting existing models for
isotropic covariance functions and consider strategies for developing new
models, including a useful spectral approach.


title:
Large deviations for velocity-jump processes and non-local
  Hamilton-Jacobi equations

abstract:
  We establish a large deviation theory for a velocity jump process, where new
random velocities are picked at a constant rate from a Gaussian distribution.
The Kolmogorov forward equation associated with this process is a linear
kinetic transport equation in which the BGK operator accounts for the changes
in velocity. We analyse its asymptotic limit after a suitable rescaling
compatible with the WKB expansion. This yields a new type of Hamilton Jacobi
equation which is non local with respect to velocity variable. We introduce a
dedicated notion of viscosity solution for the limit problem, and we prove
well-posedness in the viscosity sense. The fundamental solution is explicitly
computed, yielding quantitative estimates for the large deviations of the
underlying velocity-jump process {\em \`a la Freidlin-Wentzell}. As an
application of this theory, we conjecture exact rates of acceleration in some
nonlinear kinetic reaction-transport equations.


title: Local Distributed Algorithms for Selfish Agents

abstract:
  In the classical framework of local distributed network computing, it is
generally assumed that the entities executing distributed algorithms are
altruistic. However, in various scenarios, the value of the output produced by
an entity may have a tremendous impact on its future. This is for instance the
case of tasks such as computing maximal independent sets (MIS) in networks.
Indeed, a node belonging to the MIS may be later asked more than to a node not
in the MIS, e.g., because MIS in networks are often used as backbones to
collect, transfer, and broadcast information, which is costly. In this paper,
we revisit typical local distributed network computing tasks in the framework
of algorithmic game theory. Specifically, we focus on the construction of
solutions for locally checkable labeling (LCL) tasks, which form a large class
of distributed tasks, including MIS, coloring, maximal matching, etc., and
which have been studied for more than 20 years in distributed computing.
  Given an LCL task, the nodes are collectively aiming at computing a solution,
but, at the individual level, every node plays rationally and selfishly with
the objective of optimizing its own profit. Surprisingly, the classical
frameworks for game theory are not fully appropriate for the purpose of our
study. Moreover, we show that classical notions like Nash equilibria may yield
algorithms requiring an arbitrarily large number of rounds to converge.
Nevertheless, by extending and generalizing core results from game theory, we
establish the existence of a so-called trembling-hand perfect equilibria, a
subset of Nash equilibria that is well suited to LCL construction tasks. The
main outcome of the paper is therefore that, for essentially all distributed
tasks whose solutions are locally checkable, there exist construction
algorithms which are robust to selfishness.


title: Two-photon interference of temporally separated photons

abstract:
  We present experimental demonstrations of two-photon interference involving
temporally separated photons within two types of interferometers: a
Mach-Zehnder interferometer and a polarization-based Michelson interferometer.
The two-photon states are probabilistically prepared in a symmetrically
superposed state within the two interferometer arms by introducing a large time
delay between two input photons; this state is composed of two temporally
separated photons, which are in two different or the same spatial modes. We
then observe two-photon interference fringes involving both the Hong-Ou-Mandel
interference effect and the interference of path-entangled two-photon states
simultaneously in a single interferometric setup. The observed two-photon
interference fringes provide simultaneous observation of the interferometric
properties of the single-photon and two-photon wavepackets. The observations
can also facilitate a more comprehensive understanding of the origins of the
interference phenomena arising from spatially bunched/anti-bunched two-photon
states comprised of two temporally separated photons within the interferometer
arms.


title: The role of gas infall in the evolution of disc galaxies

abstract:
  Spiral galaxies are thought to acquire their gas through a protracted infall
phase resulting in the inside-out growth of their associated discs. For field
spirals, this infall occurs in the lower density environments of the cosmic
web. The overall infall rate, as well as the galactocentric radius at which
this infall is incorporated into the star-forming disc, plays a pivotal role in
shaping the characteristics observed today. Indeed, characterising the
functional form of this spatio-temporal infall in-situ is exceedingly
difficult, and one is forced to constrain these forms using the present day
state of galaxies with model or simulation predictions. We present the infall
rates used as input to a grid of chemical evolution models spanning the mass
spectrum of discs observed today. We provide a systematic comparison with
alternate analytical infall schemes in the literature, including a first
comparison with cosmological simulations. Identifying the degeneracies
associated with the adopted infall rate prescriptions in galaxy models is an
important step in the development of a consistent picture of disc galaxy
formation and evolution.


title:
Modelling systematics of ground-based transit photometry I. Implications
  on transit timing variations

abstract:
  The transit timing variation technique (TTV) has been widely used to detect
and characterize multiple planetary systems. Due to the observational biases
imposed mainly by the photometric conditions and instrumentation and the high
signal-to-noise required to produce primary transit observations, ground-based
data acquired using small telescopes limit the technique to the follow-up of
hot Jupiters. However, space-based missions such as Kepler and CoRoT have
already revealed that hot Jupiters are mainly found in single systems. Thus, it
is natural to question ourselves if we are properly using the observing time at
hand carrying out such follow-ups, or if the use of medium-to-low quality
transit light curves, combined with current standard techniques of data
analysis, could be playing a main role against exoplanetary search via TTVs.
The purpose of this work is to investigate to what extent ground-based
observations treated with current modelling techniques are reliable to detect
and characterize additional planets in already known planetary systems. To meet
this goal, we simulated typical primary transit observations of a hot Jupiter
mimicing an existing system, Qatar-1. To resemble ground-based observations we
attempt to reproduce, by means of physically and empirically motivated
relationships, the effects caused by the Earth's atmosphere and the
instrumental setup on the synthetic light curves. Therefore, the synthetic data
present different photometric quality and transit coverage. In addition, we
introduced a perturbation in the mid-transit times of the hot Jupiter, caused
by an Earth-sized planet in a 3:2 mean motion resonance. Analyzing the
synthetic light curves produced after certain epochs, we attempt to recover the
synthetically added TTV signal by means of usual primary transit fitting
techniques, and show how these can recover (or not) the TTV signal.