title:
A brief review of measurements of electroweak bosons at the LHCb
  experiment in LHC Run 1

abstract:
  The LHCb experiment is one of four major experiments at the LHC. Despite
being designed for the study of beauty and charm particles, it has made
important contributions in other areas, such as the production and decay of $W$
and $Z$ bosons. Such measurements can be used to study and constrain parton
distribution functions, as well as to test perturbative quantum chromodynamics
in hard scattering processes. The angular structure of $Z$ boson decays to
leptons can also be studied and used to measure the weak mixing angle. The
phase space probed by LHCb is particularly sensitive to this quantity, and the
LHCb measurement using the dimuon final state is currently the most precise
determination of $\sin^2\theta^\text{lept.}_\text{eff.}$ at the LHC. LHCb
measurements made using data collected during the first period of LHC
operations (LHC Run 1) are discussed in this review. The article also considers
the potential impact of related future measurements.


title:
Nilpotent approximation of a trident snake robot controlling
  distribution

abstract:
  We construct a privileged system of coordinates with respect to the
controlling distribution of a trident snake robot and, furthermore, we
construct a nilpotent approximation with respect to the given filtration. Note
that all constructions are local in the neighbourhood of a particular point. We
compare the motions corresponding to the Lie bracket of the original
controlling vector fields and their nilpotent approximation.


title:
Optimal Channel Sensing Strategy for Cognitive Radio Networks with
  Heavy-Tailed Idle Times

abstract:
  In Cognitive Radio Network (CRN), the secondary user (SU) opportunistically
access the wireless channels whenever they are free from the licensed / Primary
User (PU). Even after occupying the channel, the SU has to sense the channel
intermittently to detect reappearance of PU, so that it can stop its
transmission and avoid interference to PU. Frequent channel sensing results in
the degradation of SU's throughput whereas sparse sensing increases the
interference experienced by the PU. Thus, optimal sensing interval policy plays
a vital role in CRN. In the literature, optimal channel sensing strategy has
been analysed for the case when the ON-OFF time distributions of PU are
exponential. However, the analysis of recent spectrum measurement traces
reveals that PU exhibits heavy-tailed idle times which can be approximated well
with Hyper-exponential distribution (HED). In our work, we deduce the structure
of optimal sensing interval policy for channels with HED OFF times through
Markov Decision Process (MDP). We then use dynamic programming framework to
derive sub-optimal sensing interval policies. A new Multishot sensing interval
policy is proposed and it is compared with existing policies for its
performance in terms of number of channel sensing and interference to PU.


title: Is the Multigrid Method Fault Tolerant? The Multilevel Case

abstract:
  Computing at the exascale level is expected to be affected by a significantly
higher rate of faults, due to increased component counts as well as power
considerations. Therefore, current day numerical algorithms need to be
reexamined as to determine if they are fault resilient, and which critical
operations need to be safeguarded in order to obtain performance that is close
to the ideal fault-free method.
  In a previous paper, a framework for the analysis of random stationary linear
iterations was presented and applied to the two grid method. The present work
is concerned with the multigrid algorithm for the solution of linear systems of
equations, which is widely used on high performance computing systems. It is
shown that the Fault-Prone Multigrid Method is not resilient, unless the
prolongation operation is protected. Strategies for fault detection and
mitigation as well as protection of the prolongation operation are presented
and tested, and a guideline for an optimal choice of parameters is devised.


title: On Surfaces that are Intrinsically Surfaces of Revolution

abstract:
  We consider surfaces in Euclidean space parametrized on an annular domain
such that the first fundamental form and the principal curvatures are
rotationally invariant, and the principal curvature directions only depend on
the angle of rotation (but not the radius). Such surfaces generalize the
Enneper surface. We show that they are necessarily of constant mean curvature,
and that the rotational speed of the principal curvature directions is
constant. We classify the minimal case. The (non-zero) constant mean curvature
case has been classified by Smyth.


title: From Submodule Categories to the Stable Auslander Algebra

abstract:
  We construct two functors from the submodule category of a self-injective
representation-finite algebra $\Lambda$ to the module category of the stable
Auslander algebra of $\Lambda$. These functors factor through the module
category of the Auslander algebra of $\Lambda$. Moreover they induce
equivalences from the quotient categories of the submodule category modulo
their respective kernels and said kernels have finitely many indecomposable
objects up to isomorphism. Their construction uses a recollement of the module
category of the Auslander algebra induced by an idempotent and this recollement
determines a characteristic tilting and cotilting module. If $\Lambda$ is taken
to be a Nakayama algebra, then said tilting and cotilting module is a
characteristic tilting module of a quasi-hereditary structure on the Auslander
algebra. We prove that the self-injective Nakayama algebras are the only
algebras with this property.


title: Quantum measurable cardinals

abstract:
  We investigate states on von Neumann algebras which are not normal but enjoy
various forms of infinite additivity, and show that these exist on $B(H)$ if
and only if the cardinality of an orthonormal basis of $H$ satisfies various
large cardinal conditions. For instance, there is a singular countably additive
pure state on $B(l^2(\kappa))$ if and only if $\kappa$ is Ulam measurable, and
there is a singular ${<}\,\kappa$-additive pure state on $B(l^2(\kappa))$ if
and only if $\kappa$ is measurable. The proofs make use of Farah and Weaver's
theory of quantum filters. Applications to Ueda's peak set theorem for von
Neumann algebras are discussed in the final section.


title: Towards Automated Performance Bug Identification in Python

abstract:
  Context: Software performance is a critical non-functional requirement,
appearing in many fields such as mission critical applications, financial, and
real time systems. In this work we focused on early detection of performance
bugs; our software under study was a real time system used in the
advertisement/marketing domain.
  Goal: Find a simple and easy to implement solution, predicting performance
bugs.
  Method: We built several models using four machine learning methods, commonly
used for defect prediction: C4.5 Decision Trees, Na\"{\i}ve Bayes, Bayesian
Networks, and Logistic Regression.
  Results: Our empirical results show that a C4.5 model, using lines of code
changed, file's age and size as explanatory variables, can be used to predict
performance bugs (recall=0.73, accuracy=0.85, and precision=0.96). We show that
reducing the number of changes delivered on a commit, can decrease the chance
of performance bug injection.
  Conclusions: We believe that our approach can help practitioners to eliminate
performance bugs early in the development cycle. Our results are also of
interest to theoreticians, establishing a link between functional bugs and
(non-functional) performance bugs, and explicitly showing that attributes used
for prediction of functional bugs can be used for prediction of performance
bugs.


title: Mitochondrial Ca2+ uptake in skeletal muscle health and disease

abstract:
  Muscle uses Ca2+ as a messenger to control contraction and relies on ATP to
maintain the intracellular Ca2+ homeostasis. Mitochondria are the major
sub-cellular organelle of ATP production. With a negative inner membrane
potential, mitochondria take up Ca2+ from their surroundings, a process called
mitochondrial Ca2+ uptake. Under physiological conditions, Ca2+ uptake into
mitochondria promotes ATP production. Excessive uptake causes mitochondrial
Ca2+ overload, which activates downstream adverse responses leading to cell
dysfunction. Moreover, mitochondrial Ca2+ uptake could shape spatio-temporal
patterns of intracellular Ca2+ signaling. Malfunction of mitochondrial Ca2+
uptake is implicated in muscle degeneration. Unlike non-excitable cells,
mitochondria in muscle cells experience dramatic changes of intracellular Ca2+
levels. Besides the sudden elevation of Ca2+ level induced by action
potentials, Ca2+ transients in muscle cells can be as short as a few
milliseconds during a single twitch or as long as minutes during tetanic
contraction, which raises the question whether mitochondrial Ca2+ uptake is
fast and big enough to shape intracellular Ca2+ signaling during
excitation-contraction coupling and creates technical challenges for
quantification of the dynamic changes of Ca2+ inside mitochondria. This review
focuses on characterization of mitochondrial Ca2+ uptake in skeletal muscle and
its role in muscle physiology and diseases.


title: Economics of Resilient Cloud Services

abstract:
  Computer systems today must meet and maintain service availability,
performance, and security requirements. Each of these demands requires
redundancy and some form of isolation. When service requirements are
implemented separately, the system architecture cannot easily share common
components of redundancy and isolation. We will present these service traits
collectively as cyber resilience with a system called Self Cleansing Intrusion
Tolerance or SCIT. Further, we will demonstrate that SCIT provides an effective
resilient cloud implementation making cost effective utilization of cloud
excess capacity and economies of scale. Lastly, we will introduce the notion of
serverless applications utilizing AWS Lambda and how a stateless architecture
can drastically reduce operational costs by utilizing cloud function services.


title:
Simulated spatial and temporal dependence of chromium concentration in
  pure Fe and Fe-14%Cr under high dpa ion irradiation

abstract:
  In this work we develop an ab initio informed rate theory model to track the
spatial and temporal evolution of implanted ions (Cr+) in Fe and Fe-14%Cr
during high dose irradiation. We focus on the influence of the specimen
surface, the depth dependence of ion-induced damage, the damage rate, and the
consequences of ion implantation, all of which influence the depth dependence
of alloy composition evolving with continued irradiation. We investigate
chemical segregation effects in the material by considering the diffusion of
the irradiation-induced defects. Moreover, we explore how temperature, grain
size, grain boundary sink strength, and defect production bias modify the
resulting distribution of alloy composition. Our results show that the
implanted ion profile can be quite different than the predicted SRIM
implantation profile due to radiation enhanced transport and segregation.


title:
Pairwise adaptive thermostats for improved accuracy and stability in
  dissipative particle dynamics

abstract:
  We examine the formulation and numerical treatment of dissipative particle
dynamics (DPD) and momentum-conserving molecular dynamics. We show that it is
possible to improve both the accuracy and the stability of DPD by employing a
pairwise adaptive Langevin thermostat that precisely matches the dynamical
characteristics of DPD simulations (e.g., autocorrelation functions) while
automatically correcting thermodynamic averages using a negative feedback loop.
In the low friction regime, it is possible to replace DPD by a simpler
momentum-conserving variant of the Nos\'{e}--Hoover--Langevin method based on
thermostatting only pairwise interactions; we show that this method has an
extra order of accuracy for an important class of observables (a
superconvergence result), while also allowing larger timesteps than
alternatives. All the methods mentioned in the article are easily implemented.
Numerical experiments are performed in both equilibrium and nonequilibrium
settings; using Lees--Edwards boundary conditions to induce shear flow.


title: Differential geometry of rectifying submanifolds

abstract:
  A space curve in a Euclidean 3-space $\mathbb E^3$ is called a rectifying
curve if its position vector field always lies in its rectifying plane. This
notion of rectifying curves was introduced by the author in [Amer. Math.
Monthly {\bf 110} (2003), no. 2, 147-152]. In this present article, we
introduce and study the notion of rectifying submanifolds in Euclidean spaces.
In particular, we prove that a Euclidean submanifold is rectifying if and only
if the tangential component of its position vector field is a concurrent vector
field. Moreover, rectifying submanifolds with arbitrary codimension are
completely determined.


title: On entropic uncertainty relations in the presence of a minimal length

abstract:
  Entropic uncertainty relations for the position and momentum within the
generalized uncertainty principle are examined. Studies of this principle are
motivated by the existence of a minimal observable length. Then the position
and momentum operators satisfy the modified commutation relation, for which
more than one algebraic representation is known. One of them is described by
auxiliary momentum so that the momentum and coordinate wave functions are
connected by the Fourier transform. However, the probability density functions
of the physically true and auxiliary momenta are different. As the
corresponding entropies differ, known entropic uncertainty relations are
changed. Using differential Shannon entropies, we give a state-dependent
formulation with correction term. State-independent uncertainty relations are
obtained in terms of the R\'{e}nyi entropies and the Tsallis entropies with
binning. Such relations allow one to take into account a finiteness of
measurement resolution.


title:
Non-standard interactions and the CP phase measurements in neutrino
  oscillations at low energies

abstract:
  We study the effects of non-standard interactions (NSI) and the genuine CP
phase $\delta_D$ in neutrino oscillations at low, $E_\nu \lesssim
1\,\mbox{GeV}$, and very low, $E_\nu \lesssim 0.1\,\mbox{GeV}$, energies. For
experimental setup with baseline and neutrino energy tuned to the first 1-3
oscillation maximum, we develop a simple analytic formalism to show the effects
of NSI. The vacuum mimicking and its violation as well as the use of the
separation basis play a central role in our formalism. The NSI corrections that
affect the CP phase measurement mainly come from the violation of vacuum
mimicking as well as from the corrections to the 1-3 mixing angle and
mass-squared difference. We find that the total NSI correction to the $\nu_\mu
- \nu_e$ probability $P_{\mu e}$ can reach $20\% - 30\%$ ($1 \sigma$) at
T2(H)K. Correspondingly, the correction to the CP phase can be as large as
$50^\circ$ and hence significantly deteriorates the CP sensitivity at T2(H)K.
The proposed TNT2K experiment, a combination of T2(H)K and the short baseline
experiment $\mu$Kam that uses the Super-K/Hyper-K detector at Kamioka to
measure the oscillation of the antineutrinos from muon decay at rest
($\mu$DAR), can substantially reduce the degeneracy between NSI and the genuine
CP phase $\delta_D$ to provide high CP sensitivity. The NSI correction to
$P_{\mu e}$ is only $2\%$ ($1 \sigma$) for $\mu$DAR neutrinos.


title:
Synchronization of Reinforced Stochastic Processes with a Network-based
  Interaction

abstract:
  Randomly evolving systems composed by elements which interact among each
other have always been of great interest in several scientific fields. This
work deals with the synchronization phenomenon, that could be roughly defined
as the tendency of different components to adopt a common behavior. We continue
the study of a model of interacting stochastic processes with reinforcement,
that recently has been introduced in Crimaldi et al. (2016, arXiv:1602.06217).
Generally speaking, by reinforcement we mean any mechanism for which the
probability that a given event occurs has an increasing dependence on the
number of times that events of the same type occurred in the past. The
particularity of systems of such stochastic processes is that synchronization
is induced along time by the reinforcement mechanism itself and does not
require a large-scale limit. We focus on the relationship between the topology
of the network of the interactions and the long-time synchronization
phenomenon. After proving the almost sure synchronization, we provide some CLTs
in the sense of stable convergence that establish the convergence rates and the
asymptotic distributions for both convergence to the common limit and
synchronization. The obtained results lead to the construction of asymptotic
confidence intervals for the limit random variable and of statistical tests to
make inference on the topology of the network given the observation of the
reinforced stochastic processes positioned at the vertices.


title: The random anisotropy model revisited

abstract:
  We revisit the thermodynamic behavior of the random-anisotropy O($N$) model
by investigating its large-$N$ limit. We focus on the system at zero
temperature where the mean-field-like artifacts of the large-$N$ limit are less
severe. We analyze the connection between the description in terms of
self-consistent Schwinger-Dyson equations and the functional renormalization
group. We provide a unified description of the phase diagram and critical
behavior of the model and clarify the nature of the possible "glassy" phases.
Finally we discuss the implications of our findings for the finite-$N$ and
finite-temperature systems.


title: Non-chiral 2d CFT with integer energy levels

abstract:
  The partition function of 2d conformal field theory is a modular invariant
function. It is known that the partition function of a holomorphic CFT whose
central charge is a multiple of 24 is a polynomial in the Klein function. In
this paper, by using the medium temperature expansion we show that every
modular invariant partition function can be mapped to a holomorphic partition
function whose structure can be determined similarly. We use this map to study
partition function of CFTs with half-integer left and right conformal weights.
We show that the corresponding left and right central charges are necessarily
multiples of 4. Furthermore, the degree of degeneracy of high-energy levels can
be uniquely determined in terms of the degeneracy in the low energy states.


title: Phenomenology of 2HDM with VLQs

abstract:
  In this paper, we examine the consistency of the Large Hadron Collider (LHC)
data collected during Run 1 and 2 by the ATLAS and CMS experiments with the
predictions of a 2-Higgs Doublet Model (2HDM) embedding Vector-Like Quarks
(VLQs) for $pp \to H,A$ production and $H,A\to\gamma\gamma$ decay mechanisms,
respectively, of (nearly) degenerate CP-even ($H$) and CP-odd ($A$) Higgs
bosons. We show that a scenario containing one single VLQ with Electro-Magnetic
(EM) charge $2/3$ can explain the above ATLAS and CMS data for masses in the
region 350 GeV $\leq m_{\rm VLQ}\leq 1.5$ TeV or so, depending on $\tan\beta$,
and for several values of the mixing angle between the top quark ($t$) and its
VLQ counterpart ($T$).We then perform a global fit onto the model by including
all relevant experimental as well as theoretical constraints. The surviving
samples of our analysis are discussed within 2$\sigma$ of the LHC measurements.
Additionally, we also comment on the recent anomalous result reported by CMS
using Run 2 data on the associated Standard Model (SM) Higgs boson production
with top quark pairs $pp\to t\bar th$ with an observed significance of
3.3$\sigma$. Other than these specific examples, we also present a
phenomenological analysis of the main features of the model, including the most
promising $T$ decay channels.


title: Variable stars in Local Group Galaxies - II. Sculptor dSph

abstract:
  We present the identification of 634 variable stars in the Milky Way dSph
satellite Sculptor based on archival ground-based optical observations spanning
$\sim$24 years and covering $\sim$ 2.5 deg$^2$. We employed the same
methodologies as the "Homogeneous Photometry" series published by Stetson. In
particular, we have identified and characterized one of the largest (536) RR
Lyrae samples so far in a Milky Way dSph satellite. We have also detected four
Anomalous Cepheids, 23 SX Phoenicis stars, five eclipsing binaries, three field
variable stars, three peculiar variable stars located above the horizontal
branch - near to the locus of BL Herculis - that we are unable to classify
properly. Additionally we identify 37 Long Period Variables plus 23 probable
variable stars, for which the current data do not allow us to determine the
period. We report positions and finding charts for all the variable stars, and
basic properties (period, amplitude, mean magnitude) and light curves for 574
of them. We discuss the properties of the RR Lyrae stars in the Bailey diagram,
which supports the coexistence of subpopulations with different chemical
compositions. We estimate the mean mass of Anomalous Cepheids
($\sim$1.5M$_{\odot}$) and SX Phoenicis stars ($\sim$1M$_{\odot}$). We discuss
in detail the nature of the former. The connections between the properties of
the different families of variable stars are discussed in the context of the
star formation history of the Sculptor dSph galaxy.


title: A self-consistent theory of localization in nonlinear random media

abstract:
  The self-consistent theory of localization is generalized to account for a
weak quadratic nonlinear potential in the wave equation. For spreading wave
packets, the theory predicts the destruction of Anderson localization by the
nonlinearity and its replacement by algebraic subdiffusion, while classical
diffusion remains unaffected. In 3D, this leads to the emergence of a
subdiffusion-diffusion transition in place of the Anderson transition. The
accuracy and the limitations of the theory are discussed.


title:
Relic Abundance in a Secluded Dark Matter Scenario with a Massive
  Mediator

abstract:
  The relic abundance of the dark matter (DM) particle $d$ is studied in a
secluded DM scenario, in which the $d$ number decreasing process dominantly
occurs not through the pair annihilation of $d$ into the standard model
particles, but via the $dd \to mm$ scattering process with a subsequently
decaying mediator particle $m$. It is pointed out that the cosmologically
observed relic abundance of DM can be accomplished even with a massive mediator
having a mass $m_m$ non-negligibly heavy compared with the DM particle mass
$m_d$. In the degenerated $d$-$m$ case ($m_d=m_m$), the DM relic abundance is
realized by adjusting the $dd \to mm$ scattering amplitude large enough and by
choosing an appropriate mediator particle life-time. The DM evolution in the
early universe exhibits characteristic "terrace" behavior, or two-step number
density decreasing behavior, having a "fake" freeze-out at the first step.
Based on these observations, a novel possibility of the DM model buildings is
introduced in which the mediator particle $m$ is unified with the DM particle
$d$ in an approximate dark symmetry multiplet. A pionic DM model is proposed to
illustrate this idea in a renormalizable field theory framework.


title: On sums of prime factors

abstract:
  We study the arithmetic function sopfr$(n)$ (OEIS A001414) which gives the
sum of prime factors (with repetition) of a number $n$. In particular we obtain
the asymptotic formula $$ \sum_{n \leq x} \rm{sopfr}(n) \sim \frac{\pi^2}{12}
\frac{x^2}{\log x},$$ which holds as well for the function sopf$(n)$ (OEIS
A008472) that just gives the sum of distinct prime factors of $n$. This
asymptotic formula was already stated by R. Jakimcyuk \cite{rj12} which was
brought to our attention after the completion of the first version of this
manuscript.


title:
Finite-size corrections to Fermi's Golden rule II: Quasi-stationary
  composite states

abstract:
  Many-body states described by a Schr\"{o}dinger equation include states of
overlapping waves of non-vanishing interaction energies. These peculiar states
formed in many-body transitions remain in asymptotic regions, and lead a new
component to the transition probability. The probability is computed rigorously
following the von Neumann's fundamental principle of quantum mechanics with an
S-matrix that is defined with normalized functions, instead of plane waves.
That includes the intriguing correction term to the Fermi's golden rule, in
which a visible energy is smaller than the initial energy, and reveals
macroscopic quantum phenomena for light particles. Processes in Quantum
Electrodynamics are analyzed and the sizable corrections are found in the
dilute systems. The results suggest that these states play important roles in
natural phenomena, and the verification in laboratory would be possible with
recent advanced technology.


title: The Study of Transient Faults Propagation in Multithread Applications

abstract:
  Whereas contemporary Error Correcting Codes (ECC) designs occupy a
significant fraction of total die area in chip-multiprocessors (CMPs),
approaches to deal with the vulnerability increase of CMP architecture against
Single Event Upsets (SEUs) and Multi-Bit Upsets (MBUs) are sought. In this
paper, we focus on reliability assessment of multithreaded applications running
on CMPs to propose an adaptive application-relevant architecture design to
accommodate the impact of both SEUs and MBUs in the entire CMP architecture.
This work concentrates on leveraging the intrinsic soft-error-immunity feature
of Spin-Transfer Torque RAM (STT-RAM) as an alternative for SRAM-based storage
and operation components. We target a specific portion of working set for
reallocation to improve the reliability level of the CMP architecture design. A
selected portion of instructions in multithreaded program which experience high
rate of referencing with the lowest memory modification are ideal candidate to
be stored and executed in STT-RAM based components. We argue about why we
cannot use STT-RAM for the global storage and operation counterparts and
describe the obtained resiliency compared to the baseline setup. In addition, a
detail study of the impact of SEUs and MBUs on multithreaded programs will be
presented in the Appendix.


title: Continuous representations of scalar products of Bethe vectors

abstract:
  We present families of single determinantal representations of on-shell
scalar products of Bethe vectors. Our families of representations are
parameterized by a continuous complex variable which can be fixed at
convenience. Here we consider Bethe vectors in two versions of the six-vertex
model: the case with boundary twists and the case with open boundaries.

categories: math-ph cond-mat.stat-mech hep-th math.MP nlin.SI


title:
Walking of the iCub humanoid robot in different scenarios:
  implementation and performance analysis

abstract:
  The humanoid robot iCub is a research platform of the Fondazione Istituto
Italiano di Tecnologia (IIT), spread among different institutes around the
world. In the most recent version of iCub, the robot is equipped with stronger
legs and bigger feet, allowing it to perform balancing and walking motions that
were not possible with the first generations. Despite the new legs hardware,
walking has been rarely performed on the iCub robot. In this work the objective
is to implement walking motions on the robot, from which we want to analyze its
walking capabilities. We developed software modules based on extensions of
classic techniques such as the ZMP based pattern generator and position control
to identify which are the characteristics as well as limitations of the robot
against different walking tasks in order to give the users a reference of the
performance of the robot. Most of the experiments have been performed with
HeiCub, a reduced version of iCub without arms and head.


title: The ANU WiFeS SuperNovA Program (AWSNAP)

abstract:
  This paper presents the first major data release and survey description for
the ANU WiFeS SuperNovA Program (AWSNAP). AWSNAP is an ongoing supernova
spectroscopy campaign utilising the Wide Field Spectrograph (WiFeS) on the
Australian National University (ANU) 2.3m telescope. The first and primary data
release of this program (AWSNAP-DR1) releases 357 spectra of 175 unique objects
collected over 82 equivalent full nights of observing from July 2012 to August
2015. These spectra have been made publicly available via the WISeREP supernova
spectroscopy repository. We analyse the AWSNAP sample of Type Ia supernova
spectra, including measurements of narrow sodium absorption features afforded
by the high spectral resolution of the WiFeS instrument. In some cases we were
able to use the integral-field nature of the WiFeS instrument to measure the
rotation velocity of the SN host galaxy near the SN location in order to obtain
precision sodium absorption velocities. We also present an extensive time
series of SN 2012dn, including a near-nebular spectrum which both confirms its
"super-Chandrasekhar" status and enables measurement of the sub-solar host
metallicity at the SN site.


title: Electrodynamic response of type II Weyl semimetals

abstract:
  Weyl fermions play a major role in quantum field theory but have been quite
elusive as fundamental particles. Materials based on quasi two-dimensional
bismuth layers were recently designed and provide an arena for the study of the
interplay between anisotropic Dirac fermions, magnetism and structural changes,
allowing the formation of Weyl fermions in condensed matter. Here, we perform
an optical investigation of YbMnBi$_2$, a representative type II Weyl
semimetal, and contrast its excitation spectrum with the optical response of
the more conventional semimetal EuMnBi$_2$. Our comparative study allows us
disentangling the optical fingerprints of type II Weyl fermions, but also
challenge the present theoretical understanding of their electrodynamic
response.


title: Limit regimes of ice formation in turbulent supercooled water

abstract:
  A study of ice formation in stationary turbulent conditions is carried out in
various limit regimes of crystal growth, supercooling and ice entrainment at
the water surface. Analytical expressions for the temperature, salinity and ice
concentration mean profiles are provided, and the role of fluctuations in ice
production is numerically quantified. Lower bounds on the ratio of sensible
heat flux to latent heat flux to the atmosphere are derived and their
dependence on key parameters such as salt restitution in freezing and ice
entrainment in the water column is elucidated.


title:
Semi-automatic charge and mass identification in two-dimensional
  matrices

abstract:
  This article presents a new semi-automatic method for charge and mass
identification in two-dimensional matrices. The proposed algorithm is based on
the matrix's properties and uses as little information as possible on the
global form of the identification lines, making it applicable to a large
variety of matrices, including Particular attention has been paid to the
implementation in a suitable graphical environment, so that only two
mouse-clicks are required from the user to calculate all initialization
parameters. Example applications to recent data from both INDRA and FAZIA
telescopes are presented.


title:
Multivalued fundamental diagrams of traffic flow in the kinetic
  Fokker-Planck limit

abstract:
  Starting from interaction rules based on two levels of stochasticity we study
the influence of the microscopic dynamics on the macroscopic properties of
vehicular flow. In particular, we study the qualitative structure of the
resulting flux-density and speed-density diagrams for different choices of the
desired speeds. We are able to recover multivalued diagrams as a result of the
existence of a one-parameter family of stationary distributions, whose
expression is analytically found by means of a Fokker-Planck approximation of
the initial Boltzmann-type model.


title:
Exact versus Taylor-expanded energy density in the study of the neutron
  star crust-core transition

abstract:
  The importance of the fourth and higher order terms in the Taylor series
expansion of the energy of the isospin asymmetric nuclear matter in the study
of the neutron star crust-core phase transition is investigated using the
finite range simple effective interaction. Analytic expressions for the
evaluation of the second and fourth order derivative terms in the Taylor series
expansion for any general finite range interaction of Yukawa, exponential or
Gaussian form have been obtained. The effect of the nuclear matter
incompressibility, symmetry energy and slope parameters on the predictions for
the crust-core transition density is examined. The crustal moment of inertia is
calculated and the prediction for the radius of the Vela pulsar is analyzed
using different equations of state.


title: Spontaneous symmetry breaking in a split potential box

abstract:
  We report results of the analysis of the spontaneous symmetry breaking (SSB)
in the basic (actually, simplest) model which is capable to produce the SSB
phenomenology in the one-dimensional setting. It is based on the
Gross-Pitaevskii - nonlinear Schroedinger equation with the cubic
self-attractive term and a double-well-potential built as an infinitely deep
potential box split by a narrow (delta-functional) barrier. The barrier's
strength, epsilon, is the single free parameter of the scaled form of the
model. It may be implemented in atomic Bose-Einstein condensates and nonlinear
optics. The SSB bifurcation of the symmetric ground state (GS) is predicted
analytically in two limit cases, viz., for deep or weak splitting of the
potential box by the barrier. For the generic case, a variational approximation
(VA) is elaborated. The analytical findings are presented along with systematic
numerical results. Stability of stationary states is studied through the
calculation of eigenvalues for small perturbations, and by means of direct
simulations. The GS always undergoes the SSB bifurcation of the supercritical
type, as predicted by the VA at moderate values of epsilon, although the VA
fails at small epsilon, due to inapplicability of the underlying ansatz in that
case. However, the latter case is correctly treated by the approximation based
on a soliton ansatz. On top of the GS, the first and second excited states are
studied too. The antisymmetric mode (the first excited state) is destabilized
at a critical value of its norm. The second excited state undergoes the SSB
bifurcation, like the GS, but, unlike it, the bifurcation produces an unstable
asymmetric mode. All unstable modes tend to spontaneously reshape into the
asymmetric GS.


title: General background conditions for K-bounce and adiabaticity

abstract:
  We study the background conditions for a bounce uniquely driven by a single
scalar field model with a generalized kinetic term $K(X)$, without any
additional matter field. At the background level we impose the existence of two
turning points where the derivative of the Hubble parameter $H$ changes sign
and of a bounce point where the Hubble parameter vanishes. We find the
conditions for $K(X)$ and the potential which ensure the above requirements. We
then give the examples of two models constructed according to these conditions.
One is based on a quadratic $K(X)$, and the other a $K(X)$ which is avoiding
divergences of the second time derivative of the scalar field, which may
otherwise occur. An appropriate choice of the initial conditions can lead to a
sequence of consecutive bounces, or oscillations of $H$. In the region where
these models have a constant potential they are adiabatic on any scale and
because of this they may not conserve curvature perturbations on super-horizon
scales. While at the perturbation level one class of models is free from ghosts
and singularities of the classical equations of motion, in general gradient
instabilities are present around the bounce time, because the sign of the
squared speed of sound is opposite to the sign of the time derivative of $H$.
We discuss how this kind of instabilities could be avoided by modifying the
Lagrangian by introducing Galileion terms in order to prevent a negative
squared speed of sound around the bounce.


title:
Travelling heteroclinic waves in a Frenkel-Kontorova chain with
  anharmonic on-site potential

abstract:
  The Frenkel-Kontorova model for dislocation dynamics from 1938 is given by a
chain of atoms, where neighbouring atoms interact through a linear spring and
are exposed to a smooth periodic on-site potential. A dislocation moving with
constant speed corresponds to a heteroclinic travelling wave, making a
transition from one well of the on-site potential to another. The ensuing
system is nonlocal, nonlinear and nonconvex. We present an existence result for
a class of smooth nonconvex on-site potentials. Previous results in mathematics
and mechanics have been limited to on-site potentials with harmonic wells. To
overcome this restriction, we first develop a global centre manifold theory for
anharmonic wave trains, then parametrise the centre manifold to obtain
asymptotically correct approximations to the solution sought, and finally
obtain the heteroclinic wave via a fixed point argument.


title:
Why I am optimistic about the silicon-photonic route to quantum
  computing

abstract:
  This is a short overview explaining how building a large-scale,
silicon-photonic quantum computer has been reduced to the creation of good
sources of 3-photon entangled states (and may simplify further). Given such
sources, each photon need pass through a small, constant, number of components,
interfering with at most 2 other spatially nearby photons, and current
photonics engineering has already demonstrated the manufacture of thousands of
components on two-dimensional semiconductor chips with performance that allows
the creation of tens of thousands of photons entangled in a state universal for
quantum computation.
  At present the fully-integrated, silicon-photonic architecture we envisage
involves creating the required entangled states by starting with single-photons
produced non-determistically by pumping silicon waveguides (or cavities)
combined with on-chip filters and nanowire superconducting detectors to herald
that a photon has been produced. These sources are multiplexed into being
near-deterministic, and the single photons then passed through an
interferometer to non-deterministically produce small entangled states -
necessarily multiplexed to near-determinism again. This is followed by a
`ballistic' scattering of the small-scale entangled photons through an
interferometer such that some photons are detected, leaving the remainder in a
large-scale entangled state which is provably universal for quantum computing
implemented by single-photon measurements.
  There are a large number of questions regarding the optimum ways to make and
use the final cluster state, dealing with static imperfections, constructing
the initial entangled photon sources and so on, that need to be investigated
before we can aim for millions of qubits capable of billions of computational
time-steps. The focus in this article is on the theoretical side of such
questions.


title: Existence results for fully nonlinear equations in radial domains

abstract:
  We consider the fully nonlinear problem \begin{equation*} \begin{cases}
-F(x,D^2u)=|u|^{p-1}u & \text{in $\Omega$}\\ u=0 & \text{on $\partial\Omega$}
\end{cases} \end{equation*} where $F$ is uniformly elliptic, $p>1$ and $\Omega$
is either an annulus or a ball in $\Rn$, $n\geq2$. \\ We prove the following
results: \begin{itemize}
  \item[i)] existence of a positive/negative radial solution for every exponent
$p>1$, if $\Omega$ is an annulus;
  \item[ii)] existence of infinitely many sign changing radial solutions for
every $p>1$, characterized by the number of nodal regions, if $\Omega$ is an
annulus;
  \item[iii)] existence of infinitely many sign changing radial solutions
characterized by the number of nodal regions, if $F$ is one of the Pucci's
operator, $\Omega$ is a ball and $p$ is subcritical.


title:
Accumulative coupling between magnetized tenuous plasma and
  gravitational waves

abstract:
  We explicitly compute the plasma wave (PW) induced by a plane gravitational
wave (GW) travelling through a region of strongly magnetized plasma, governed
by force-free electrodynamics. The PW co-moves with the GW and absorbs its
energy to grow over time, creating an essentially force-free counterpart to the
inverse-Gertsenshtein effect. The time-averaged Poynting flux of the induced PW
is comparable to the vacuum case, but the associated current may offer a more
sensitive alternative to photodetection when designing experiments for
detecting/constraining high frequency gravitational waves. Aside from the exact
solutions, we also offer an analysis of the general properties of the GW to PW
conversion process, which should find use when evaluating electromagnetic
counterparts to astrophysical gravitational waves, that are generated directly
by the latter as a second order phenomenon.


title:
Improving the full spectrum fitting method: accurate convolution with
  Gauss-Hermite functions

abstract:
  I start by providing an updated summary of the penalized pixel-fitting (pPXF)
method, which is used to extract the stellar and gas kinematics, as well as the
stellar population of galaxies, via full spectrum fitting. I then focus on the
problem of extracting the kinematic when the velocity dispersion $\sigma$ is
smaller than the velocity sampling $\Delta V$, which is generally, by design,
close to the instrumental dispersion $\sigma_{\rm inst}$. The standard approach
consists of convolving templates with a discretized kernel, while fitting for
its parameters. This is obviously very inaccurate when $\sigma<\Delta V/2$, due
to undersampling. Oversampling can prevent this, but it has drawbacks. Here I
present a more accurate and efficient alternative. It avoids the evaluation of
the under-sampled kernel, and instead directly computes its well-sampled
analytic Fourier transform, for use with the convolution theorem. A simple
analytic transform exists when the kernel is described by the popular
Gauss-Hermite parametrization (which includes the Gaussian as special case) for
the line-of-sight velocity distribution. I describe how this idea was
implemented in a significant upgrade to the publicly available pPXF software.
The key advantage of the new approach is that it provides accurate velocities
regardless of $\sigma$. This is important e.g. for spectroscopic surveys
targeting galaxies with $\sigma\ll\sigma_{\rm inst}$, for galaxy redshift
determinations, or for measuring line-of-sight velocities of individual stars.
The proposed method could also be used to fix Gaussian convolution algorithms
used in today's popular software packages.


title: Fine-To-Coarse Global Registration of RGB-D Scans

abstract:
  RGB-D scanning of indoor environments is important for many applications,
including real estate, interior design, and virtual reality. However, it is
still challenging to register RGB-D images from a hand-held camera over a long
video sequence into a globally consistent 3D model. Current methods often can
lose tracking or drift and thus fail to reconstruct salient structures in large
environments (e.g., parallel walls in different rooms). To address this
problem, we propose a "fine-to-coarse" global registration algorithm that
leverages robust registrations at finer scales to seed detection and
enforcement of new correspondence and structural constraints at coarser scales.
To test global registration algorithms, we provide a benchmark with 10,401
manually-clicked point correspondences in 25 scenes from the SUN3D dataset.
During experiments with this benchmark, we find that our fine-to-coarse
algorithm registers long RGB-D sequences better than previous methods.


title: Indistinguishability of causal relations from limited marginals

abstract:
  We investigate the possibility of distinguishing among different causal
relations starting from a limited set of marginals. Our main tool is the notion
of adhesivity, that is, the extension of probability or entropies defined only
on subsets of variables, which provides additional independence constraints
among them. Our results provide a criterion for recognizing which causal
structures are indistinguishable when only limited marginal information is
accessible. Furthermore, the existence of such extensions greatly simplifies
the characterization of a marginal scenario, a result that facilitates the
derivation of Bell inequalities both in the probabilistic and entropic
frameworks, and the identification of marginal scenarios where classical,
quantum, and postquantum probabilities coincide.


title:
Optical Phonons in Methylammonium Lead Halide Perovskites and
  Implications for Charge Transport

abstract:
  Lead-halide perovskites are promising materials for opto-electronic
applications. Recent reports indicated that their mechanical and electronic
properties are strongly affected by the lattice vibrations. Herein we report
far-infrared spectroscopy measurements of CH$_{3}$NH$_{3}$Pb(I/Br/Cl)$_{3}$
thin films and single crystals at room temperature and a detailed quantitative
analysis of the spectra. We find strong broadening and anharmonicity of the
lattice vibrations for all three halide perovskites, which indicates dynamic
disorder of the lead-halide cage at room temperature. We determine the
frequencies of the transversal and longitudinal optical phonons, and use them
to calculate, via appropriate models, the static dielectric constants, polaron
masses, electron-phonon coupling constants, and upper limits for the
phonon-scattering limited charge carrier mobilities. Within the limitations of
the model used, we can place an upper limit of 200$\,$cm$^{2}$V$^{-1}$s$^{-1}$
for the room temperature charge carrier mobility in MAPbI$_{3}$ single
crystals. Our findings are important for the basic understanding of charge
transport processes and mechanical properties in metal halide perovskites.


title: Smooth rational surfaces violating Kawamata-Viehweg vanishing

abstract:
  We show that over any algebraically closed field of positive characteristic,
there exists a smooth rational surface which violates Kawamata-Viehweg
vanishing.


title:
The histeresis of the indices of solar activity and of the ionospheric
  indices in 11-yr cycles. The histeresis of the stellar activity indices in
  the cyclic activity similar to the Sun

abstract:
  The analysis of the effect of the hysteresis, which manifests itself in an
ambiguous relationship of radiation from the photosphere, chromosphere and
corona on the rise and decline phases of the solar and stellar activity cycles
have done. Some indices of solar activity: the flux of the hydrogen Lyman-alpha
emission, the 10.7 cm flux, the sunspot number SSN, the flux in the coronal
green line 530.3 nm, the solar constant TSI and the 280 nm Mg II flux were
studied. The stars with the well-determined cycles were examined to detect the
effect of hysteresis between the chromosphere's S-index CaII fluxes versus the
photosphere's fluxes Fphotosphere.


title:
Interaction induced local moments in parallel quantum dots within the
  functional renormalization group approach

abstract:
  We propose a version of functional renormalization-group (fRG) approach,
which is, due to including Litim-type cutoff and switching off (or reducing)
the magnetic field during fRG flow, capable describing singular Fermi liquid
(SFL) phase, formed due to presence of local moments in quantum dot structures.
The proposed scheme allows to describe the first-order quantum phase transition
from "singular" to the "regular" paramagnetic phase with applied gate voltage
to parallel quantum dots, symmetrically coupled to leads, and shows sizable
spin splitting of electronic states in the SFL phase in the limit of vanishing
magnetic field $H\rightarrow 0$; the calculated conductance shows good
agreement with the results of the numerical renormalization group. Using the
proposed fRG approach with the counterterm, we also show that for asymmetric
coupling of the leads to the dots the SFL behavior similar to that for the
symmetric case persists, but with occupation numbers, effective energy levels
and conductance changing continuously through the quantum phase transition into
SFL phase.


title: Majorana Fermions in a Box

abstract:
  Majorana fermion dynamics may arise at the edge of Kitaev wires or
superconductors. Alternatively, it can be engineered by using trapped ions or
ultracold atoms in an optical lattice as quantum simulators. This motivates the
theoretical study of Majorana fermions confined to a finite volume, whose
boundary conditions are characterized by self-adjoint extension parameters.
While the boundary conditions for Dirac fermions in $(1+1)$-d are characterized
by a 1-parameter family, $\lambda = - \lambda^*$, of self-adjoint extensions,
for Majorana fermions $\lambda$ is restricted to $\pm i$. Based on this result,
we compute the frequency spectrum of Majorana fermions confined to a 1-d
interval. The boundary conditions for Dirac fermions confined to a 3-d region
of space are characterized by a 4-parameter family of self-adjoint extensions,
which is reduced to two distinct 1-parameter families for Majorana fermions. We
also consider the problems related to the quantum mechanical interpretation of
the Majorana equation as a single-particle equation. Furthermore, the equation
is related to a relativistic Schr\"odinger equation that does not suffer from
these problems.


title: General Electromagnetic Nonminimal Couplings in the Dirac Equation

abstract:
  We examine a new class of CPT-even and dimension-five nonminimal interactions
between fermions and photons, deprived of higher-order derivatives, yielding
electric dipole moment and magnetic dipole moment in the context of the Dirac
equation. These couplings are Lorentz-violating nonminimal structures, composed
of a rank-2 tensor, the electromagnetic tensor, and gamma matrices, being
addressed in its axial and non-axial hermitian versions. We use the electron's
anomalous magnetic and electric dipole moment measurements to reach upper
bounds of $1$ part in $10^{11}$ and $10^{16}$ GeV$^{-1}$.


title:
Bounds on the Rate of Linear Locally Repairable Codes over Small
  Alphabets

abstract:
  Locally repairable codes (LRC) have recently been a subject of intense
research due to theoretical appeal and their application in distributed storage
systems. In an LRC, any coordinate of a codeword can be recovered by accessing
only few other coordinates. For LRCs over small alphabet (such as binary), the
optimal rate-distance trade-off is unknown. In this paper we provide the
tightest known upper bound on the rate of linear LRCs of a given relative
distance, an improvement over any previous result, in particular
\cite{cadambe2013upper}.


title:
Testing neutrino mass generation mechanisms from the lepton flavor
  violating decay of the Higgs boson

abstract:
  We investigate how observations of the lepton flavor violating decay of the
Higgs boson ($h \to \ell\ell^\prime$) can narrow down models of neutrino mass
generation mechanisms, which were systematically studied in Refs. [1,2] by
focusing on the combination of new Yukawa coupling matrices with leptons. We
find that a wide class of models for neutrino masses can be excluded if
evidence for $h \to \ell\ell^\prime$ is really obtained in the current or
future collider experiments. In particular, simple models of Majorana neutrino
masses cannot be compatible with the observation of $h \to \ell\ell^\prime$. It
is also found that some of the simple models to generate masses of Dirac
neutrinos radiatively can be compatible with a significant rate of the $h \to
\ell\ell^\prime$ process.


title: Inverse problem for multi-body interaction of nonlinear waves

abstract:
  The inverse problem is studied in multi-body systems with nonlinear dynamics
representing, e.g., phase-locked wave systems, standard multimode and random
lasers. Using a general model for four-body interacting complex-valued
variables we test two methods based on pseudolikelihood, respectively with
regularization and with decimation, to determine the coupling constants from
sets of measured configurations. We test statistical inference predictions for
increasing number of sampled configurations and for an externally tunable {\em
temperature}-like parameter mimicing real data noise and helping minimization
procedures. Analyzed models with phasors and rotors are generalizations of
problems of real-valued spherical problems (e.g., density fluctuations),
discrete spins (Ising and vectorial Potts) or finite number of states (standard
Potts): inference methods presented here can, then, be straightforward applied
to a large class of inverse problems.


title:
The impact of baryons on massive galaxy clusters: halo structure and
  cluster mass estimates

abstract:
  We use the BAHAMAS and MACSIS hydrodynamic simulations to quantify the impact
of baryons on the mass distribution and dynamics of massive galaxy clusters, as
well as the bias in X-ray and weak lensing mass estimates. These simulations
use the sub-grid physics models calibrated in the BAHAMAS project, which
include feedback from both supernovae and active galactic nuclei. They form a
cluster population covering almost two orders of magnitude in mass, with more
than 3,500 clusters with masses greater than $10^{14}\,\mathrm{M}_\odot$ at
$z=0$. We start by characterising the clusters in terms of their spin, shape
and density profile, before considering the bias in both weak lensing and
hydrostatic mass estimates. Whilst including baryonic effects leads to more
spherical, centrally concentrated clusters, the median weak lensing mass bias
is unaffected by the presence of baryons. In both the dark matter only and
hydrodynamic simulations, the weak lensing measurements underestimate cluster
masses by ${\approx}10\%$ for clusters with
$M_{200}{\leq}10^{15}\mathrm{M}_\odot$ and this bias tends to zero at higher
masses. We also consider the hydrostatic bias when using both the true density
and temperature profiles, and those derived from X-ray spectroscopy. When using
spectroscopic temperatures and densities, the hydrostatic bias decreases as a
function of mass, leading to a bias of ${\approx}40\%$ for clusters with
$M_{500}{\geq}10^{15}\,\mathrm{M}_\odot$. This is due to the presence of cooler
gas in the cluster outskirts. Using mass weighted temperatures and the true
density profile reduces this bias to $5{-}15\%$.


title:
New constraints on quantum foam models from X-ray and gamma-ray
  observations of distant quasars

abstract:
  Astronomical observations of distant quasars may be important to test models
for quantum gravity, which posit Planck-scale spatial uncertainties ('spacetime
foam') that would produce phase fluctuations in the wavefront of radiation
emitted by a source, which may accumulate over large path lengths. We show
explicitly how wavefront distortions cause the image intensity to decay to the
point where distant objects become undetectable if the accumulated path-length
fluctuations become comparable to the wavelength of the radiation. We also
reassess previous efforts in this area. We use X-ray and gamma-ray observations
to rule out several models of spacetime foam, including the interesting
random-walk and holographic models.


title: Locking of correlated neural activity to ongoing oscillations

abstract:
  Population-wide oscillations are ubiquitously observed in mesoscopic signals
of cortical activity. In these network states a global oscillatory cycle
modulates the propensity of neurons to fire. Synchronous activation of neurons
has been hypothesized to be a separate channel of signal processing information
in the brain. A salient question is therefore if and how oscillations interact
with spike synchrony and in how far these channels can be considered separate.
Experiments indeed showed that correlated spiking co-modulates with the static
firing rate and is also tightly locked to the phase of beta-oscillations. While
the dependence of correlations on the mean rate is well understood in
feed-forward networks, it remains unclear why and by which mechanisms
correlations tightly lock to an oscillatory cycle. We here demonstrate that
such correlated activation of pairs of neurons is qualitatively explained by
periodically-driven random networks. We identify the mechanisms by which
covariances depend on a driving periodic stimulus. Mean-field theory combined
with linear response theory yields closed-form expressions for the
cyclostationary mean activities and pairwise zero-time-lag covariances of
binary recurrent random networks. Two distinct mechanisms cause time-dependent
covariances: the modulation of the susceptibility of single neurons (via the
external input and network feedback) and the time-varying variances of single
unit activities. For some parameters, the effectively inhibitory recurrent
feedback leads to resonant covariances even if mean activities show
non-resonant behavior. Our analytical results open the question of
time-modulated synchronous activity to a quantitative analysis.


title:
Long range of indirect exchange interaction on the edges of MoS$_{2}$
  flakes

abstract:
  We study the Ruderman-Kittel-Kasuya-Yosida interaction between two magnetic
impurities connected to the edges of zigzag-terminated MoS$_{2}$ flakes. When
the impurities lie on the edges of the flake, the effective exchange
interaction exhibits sizable noncollinear Dzyaloshinskii-Moriya character that
competes with a strong Ising coupling. We analyze the characteristic decay
exponent for doping levels inside the band gap of the infinite layer,
corresponding to edge states of the flake at the Fermi level. The
characteristic exponents show sub-two-dimensional (sub-2D) behavior for these
band fillings, with decays much slower than quadratic. The Ising interaction
has effectively one-dimensional (1D) long range, while the noncollinear
component that grows for short impurity separation becomes comparable in
magnitude. The resulting tunable exchange interaction on these systems opens
the way for the study of interesting phases of impurity arrays with long-range
stable helical order.


title:
Statistical Properties of Sanitized Results from Differentially Private
  Laplace Mechanism with Univariate Bounding Constraints

abstract:
  Protection of individual privacy is a common concern when releasing and
sharing data and information. Differential privacy (DP) formalizes privacy in
probabilistic terms without making assumptions about the background knowledge
of data intruders, and thus provides a robust concept for privacy protection.
Practical applications of DP involve development of differentially private
mechanisms to generate sanitized results at a pre-specified privacy budget. For
the sanitization of statistics with publicly known bounds such as proportions
and correlation coefficients, the bounding constraints will need to be
incorporated in the differentially private mechanisms. There has been little
work on examining the consequences of the bounding constraints on the accuracy
of sanitized results and the statistical inferences of the population
parameters based on the sanitized results. In this paper, we formalize the
differentially private truncated and boundary inflated truncated (BIT)
procedures for releasing statistics with publicly known bounding constraints.
The impacts of the truncated and BIT Laplace procedures on the statistical
accuracy and validity of sanitized statistics are evaluated both theoretically
and empirically via simulation studies.


title:
Aronson-B\'enilan estimates for the fast diffusion equation under the
  Ricci flow

abstract:
  We study the fast diffusion equation (FDE) with a linear forcing term under
the Ricci flow on complete manifolds with bounded curvature and nonnegative
curvature operator. We prove Aronson-B\'enilan and Li-Yau-Hamilton type
differential Harnack estimates for positive solutions of the FDE. In addition,
we use similar method to prove certain Li-Yau-Hamilton estimates for the heat
equation and conjugate heat equation which extend those obtained by X. Cao and
R. Hamilton, X. Cao, and S. Kuang and Q. Zhang to noncompact setting.


title:
Reduction and reconstruction of stochastic differential equations via
  symmetries

abstract:
  An algorithmic method to exploit a general class of infinitesimal symmetries
for reducing stochastic differential equations is presented and a natural
definition of reconstruction, inspired by the classical reconstruction by
quadratures, is proposed. As a side result the well-known solution formula for
linear one-dimensional stochastic differential equations is obtained within
this symmetry approach. The complete procedure is applied to several examples
with both theoretical and applied relevance.


title: M5-branes, orientifolds, and S-duality

abstract:
  We study the instanton partition functions of 5d maximal super Yang-Mills
theories with all classical gauge groups. They are computed from the ADHM
quantum mechanics of the D0-D4-O4 systems. Our partition functions respect
S-dualities of the circle compactified Yang-Mills theories and various
orientifold backgrounds. We also compute and study the $S^5$ partition
functions that correspond to the 6d (2,0) superconformal indices. Our SO(2N)
index takes the form of the vacuum character of $\mathcal{W}_D$ algebra in a
special limit, supporting the $\mathcal{W}$ algebra conjecture. We propose new
indices for (2,0) theories with outer automorphism twists along the temporal
circle, obtained from non-simply-laced SYMs on $S^5$.


title: Ricci Flow and Volume Renormalizability

abstract:
  With respect to any special boundary defining function, a conformally compact
asymptotically hyperbolic metric has an asymptotic expansion near its conformal
infinity. If this expansion is even to a certain order and satisfies one extra
condition, then it is possible to define its renormalized volume and show that
it is independent of choices that preserve this evenness structure. We prove
that such expansions are preserved under normalized Ricci flow. We also study
the variation of curvature functionals in this setting, and as one application,
obtain the variation formula $$ \frac{{\rm d}}{{\rm d}t} {\rm RenV}\big(M^n,
g(t)\big) = -\mathop{\vphantom{T}}^R \! \! \! \int_{M^n} (S(g(t))+n(n-1)) {\rm
d}V_{g(t)},$$ where $S(g(t))$ is the scalar curvature for the evolving metric
$g(t)$, and $\mathop{\vphantom{T}}^R \! \! \! \int (\cdot) {\rm d}V_g$ is Riesz
renormalization. This extends our earlier work to a broader class of metrics.


title: Tidal Response of Preliminary Jupiter Model

abstract:
  In anticipation of improved observational data for Jupiter's gravitational
field from the Juno spacecraft, we predict the static tidal response for a
variety of Jupiter interior models based on ab initio computer simulations of
hydrogen-helium mixtures. We calculate hydrostatic-equilibrium gravity terms
using the non-perturbative concentric Maclaurin Spheroid (CMS) method that
eliminates lengthy expansions used in the theory of figures. Our method
captures terms arising from the coupled tidal and rotational perturbations,
which we find to be important for a rapidly-rotating planet like Jupiter. Our
predicted static tidal Love number $k_2 = 0.5900$ is $\sim$10\% larger than
previous estimates. The value is, as expected, highly correlated with the zonal
harmonic coefficient $J_2$, and is thus nearly constant when plausible changes
are made to interior structure while holding $J_2$ fixed at the observed value.
We note that the predicted static $k_2$ might change due to Jupiter's dynamical
response to the Galilean moons, and find reasons to argue that the change may
be detectable, although we do not present here a theory of dynamical tides for
highly oblate Jovian planets. An accurate model of Jupiter's tidal response
will be essential for interpreting Juno observations and identifying tidal
signals from effects of other interior dynamics in Jupiter's gravitational
field.


title: Digital Quantum Simulation of Minimal AdS/CFT

abstract:
  We propose the digital quantum simulation of a minimal AdS/CFT model in
controllable quantum platforms. We consider the Sachdev-Ye-Kitaev model
describing interacting Majorana fermions with randomly distributed all-to-all
couplings, encoding nonlocal fermionic operators onto qubits to efficiently
implement their dynamics via digital techniques. Moreover, we also give a
method for probing non-equilibrium dynamics and the scrambling of information.
Finally, our approach serves as a protocol for reproducing a simplified
low-dimensional model of quantum gravity in advanced quantum platforms as
trapped ions and superconducting circuits.


title: $f(T)$ gravitational baryogenesis

abstract:
  We investigate how baryogenesis can occur by the presence of an
$f(T)$-related gravitational term. We study various cases of $f(T)$ gravity and
we discuss in detail the effect of the novel terms on the baryon-to-entropy
ratio. Additionally, we study the constraints imposed by the observational
values of the baryon-to-entropy ratio and we discuss how more generalized
cosmologies can contribute successfully, in a viable and consistent way, in the
gravitational baryogenesis mechanism.


title: Designing allostery-inspired response in mechanical networks

abstract:
  Recent advances in designing meta-materials have demonstrated that global
mechanical properties of disordered spring networks can be tuned by selectively
modifying only a small subset of bonds. Here, using a computationally-efficient
approach, we extend this idea in order to tune more general properties of
networks. With nearly complete success, we are able to produce a strain between
any pair of target nodes in a network in response to an applied source strain
on any other pair of nodes by removing only ~1% of the bonds. We are also able
to control multiple pairs of target nodes, each with a different individual
response, from a single source, and to tune multiple independent source/target
responses simultaneously into a network. We have fabricated physical networks
in macroscopic two- and three-dimensional systems that exhibit these responses.
This targeted behavior is reminiscent of the long-range coupled conformational
changes that often occur during allostery in proteins. The ease with which we
create these responses may give insight into why allostery is a common means
for the regulation of activity in biological molecules.


title: Higher rank partial and false theta functions and representation theory

abstract:
  We study higher rank Jacobi partial and false theta functions
(generalizations of the classical partial and false theta functions) associated
to positive definite rational lattices. In particular, we focus our attention
on certain Kostant's partial theta functions coming from ADE root lattices,
which are then linked to representation theory of W-algebras. We derive modular
transformation properties of regularized Kostant's partial and certain higher
rank false theta functions. Modulo conjectures in representation theory, as an
application, we compute regularized quantum dimensions of atypical and typical
modules of "narrow" logarithmic W-algebras associated to rescaled root
lattices. Results in this paper substantially generalize our previous work [19]
pertaining to (1,p)-singlet W-algebras (the sl_2 case).


title: On complete reducibility in characteristic $p$

abstract:
  Let $G$ be a reductive group over a field $k$ which is algebraically closed
of characteristic $p \neq 0$. We prove a structure theorem for a class of
subgroup schemes of $G$, for $p$ bounded below by the Coxeter number of $G$. As
applications, we derive semi-simplicity results, generalizing earlier results
of Serre proven in 1998, and also obtain an analogue of Luna's \'etale slice
theorem for suitable bounds on $p$.


title:
Charged-current neutrino-nucleus reactions within the SuSAv2-MEC
  approach

abstract:
  We present a detailed study of charged-current (CC) neutrino-nucleus
reactions in a fully relativis- tic framework and comparisons with recent
experiments spanning an energy range from hundreds of MeV up to 100 GeV within
the SuperScaling Approach, which is based on the analysis of electron- nucleus
scattering data and has been recently improved with the inclusion of
Relativistic Mean Field theory effects. We also evaluate and discuss the impact
of two-particle two-hole meson-exchange currents (2p-2h MEC) on
neutrino-nucleus interactions through the analysis of two-particle two-hole
axial and vector contributions to weak response functions in a fully
relativistic Fermi gas. The results show a fairly good agreement with
experimental data over the whole range of neutrino energies.


title: Uniform localization is always uniform

abstract:
  In this note we show that if a family of ergodic Schr\"odinger operators on
$l^2({\Bbb Z}^\gamma)$ with continuous potentials have uniformly localized
eigenfunctions then these eigenfunctions must be uniformly localized in a
homogeneous sense.


title: Operator algebras associated to modules over an integral domain

abstract:
  We use the Fock semicrossed product to define an operator algebra associated
to a module over an integral domain. We consider the $C^*$-envelope of the
semicrossed product, and then consider properties of these algebras as models
for studying general semicrossed products.


title:
An `Analytic Dynamical Magnetosphere' formalism for X-ray and optical
  emission from slowly rotating magnetic massive stars

abstract:
  Slowly rotating magnetic massive stars develop "dynamical magnetospheres"
(DM's), characterized by trapping of stellar wind outflow in closed magnetic
loops, shock heating from collision of the upflow from opposite loop
footpoints, and subsequent gravitational infall of radiatively cooled material.
In 2D and 3D magnetohydrodynamic (MHD) simulations the interplay among these
three components is spatially complex and temporally variable, making it
difficult to derive observational signatures and discern their overall scaling
trends.Within a simplified, steady-state analysis based on overall conservation
principles, we present here an "analytic dynamical magnetosphere" (ADM) model
that provides explicit formulae for density, temperature and flow speed in each
of these three components -- wind outflow, hot post-shock gas, and cooled
inflow -- as a function of colatitude and radius within the closed (presumed
dipole) field lines of the magnetosphere. We compare these scalings with
time-averaged results from MHD simulations, and provide initial examples of
application of this ADM model for deriving two key observational diagnostics,
namely hydrogen H-alpha emission line profiles from the cooled infall, and
X-ray emission from the hot post-shock gas. We conclude with a discussion of
key issues and advantages in applying this ADM formalism toward derivation of a
broader set of observational diagnostics and scaling trends for massive stars
with such dynamical magnetospheres.


title: A Deep Primal-Dual Network for Guided Depth Super-Resolution

abstract:
  In this paper we present a novel method to increase the spatial resolution of
depth images. We combine a deep fully convolutional network with a non-local
variational method in a deep primal-dual network. The joint network computes a
noise-free, high-resolution estimate from a noisy, low-resolution input depth
map. Additionally, a high-resolution intensity image is used to guide the
reconstruction in the network. By unrolling the optimization steps of a
first-order primal-dual algorithm and formulating it as a network, we can train
our joint method end-to-end. This not only enables us to learn the weights of
the fully convolutional network, but also to optimize all parameters of the
variational method and its optimization procedure. The training of such a deep
network requires a large dataset for supervision. Therefore, we generate
high-quality depth maps and corresponding color images with a physically based
renderer. In an exhaustive evaluation we show that our method outperforms the
state-of-the-art on multiple benchmarks.


title:
On the Capacity of Diffusion-Based Molecular Communications with SiNW
  FET-Based Receiver

abstract:
  Molecular communication (MC) is a bio-inspired communication method based on
the exchange of molecules for information transfer among nanoscale devices.
Although MC has been extensively studied from various aspects, limitations
imposed by the physical design of transceiving units have been largely
neglected in the literature. Recently, we have proposed a nanobioelectronic MC
receiver architecture based on the nanoscale field effect transistor-based
biosensor (bioFET) technology, providing noninvasive and sensitive molecular
detection at nanoscale while producing electrical signals at the output. In
this paper, we derive analytical closed-form expressions for the capacity and
capacity-achieving input distribution for a memoryless MC channel with a
silicon nanowire (SiNW) FET-based MC receiver. The resulting expressions could
be used to optimize the information flow in MC systems equipped with
nanobioelectronic receivers.


title: Dry Ten Martini problem for non self-dual extended Harper's model

abstract:
  In this paper we prove the dry version of the Ten Martini problem: Cantor
spectrum with all gaps open, for the extended Harper's model in the non
self-dual region for Diophantine frequencies.


title:
Probing the validity of the diffuse mismatch model for phonons using
  atomistic simulations

abstract:
  Due to it's simplicity the diffuse mismatch model (DMM) remains a popular
description of phonon transmission across solid-solid boundaries. However, it
remains unclear in which situations the DMM should be expected to be a valid
model of the underlying physics. Here, its validity is investigated
mode-by-mode using a 3-dimensional extension of the frequency domain, perfectly
matched layer (FD-PML) method, to study the interface between face-centered
cubic solids with interdiffused atoms. While submonolayer levels of
interdiffusion are found to increase the number of available modes for
transmission, consistent qualitatively with the DMM, we do not find
quantitative or qualitative convergence toward the DMM at higher levels of
interdiffusion. In particular, contrary to the fundamental assumption of the
DMM, modes are not found to lose memory of their initial polarization and
wavevector. The transmission coefficients of randomly interdiffused and
smoothly-graded interfaces are also compared. While smoothly graded interfaces
show strong anti-reflection properties, selection rules still prohibit
transmission of many modes, whereas interdiffused interfaces are not subject to
such rules and achieve similar thermal interface conductance by transmitting
with lower probability but using a wider range of modes.


title: A spin-freezing perspective on cuprates

abstract:
  The high-temperature superconducting state in cuprates appears if charge
carriers are doped into a Mott insulating parent compound. An unresolved puzzle
is the unconventional nature of the normal state above the superconducting
dome, and its connection to the superconducting instability. At weak
hole-doping, a "pseudo-gap" metal state with signatures of time-reversal
symmetry breaking is observed, which near optimal doping changes into a
"strange metal" with non-Fermi liquid properties. Qualitatively similar phase
diagrams are found in multi-orbital systems, such as pnictides, where the
unconventional metal states arise from a Hund coupling induced spin-freezing.
Here, we show that the relevant model for cuprates, the single-orbital Hubbard
model on the square lattice, can be mapped onto an effective multi-orbital
problem with strong ferromagnetic Hund coupling. The spin-freezing physics of
this multi-orbital system explains the phenomenology of cuprates, including the
pseudo-gap, the strange metal, and the d-wave superconducting instability. Our
analysis suggests that spin-freezing is the universal mechanism which controls
the properties of unconventional superconductors.


title:
A data assimilation algorithm for the subcritical surface
  quasi-geostrophic equation

abstract:
  In this article, we prove that data assimilation by feedback nudging can be
achieved for the three-dimensional quasi-geostrophic equation in a simplified
scenario using only large spatial scale observables on the dynamical boundary.
On this boundary, a scalar unknown (buoyancy or surface temperature of the
fluid) satisfies the surface quasi-geostrophic equation. The feedback nudging
is done on this two-dimensional model, yet ultimately synchronizes the
streamfunction of the three-dimensional flow. The main analytical difficulties
are due to the presence of a nonlocal dissipative operator in the surface
quasi-geostrophic equation. This is overcome by exploiting a suitable partition
of unity, the modulus of continuity characterization of Sobolev space norms,
and the Littlewood-Paley decomposition to ultimately establish various
boundedness and approximation-of-identity properties for the observation
operators.


title: Observation of dipolar transport in one-dimensional photonic lattices

abstract:
  We experimentally study the transport prop- erties of dipolar and fundamental
modes on one di- mensional (1D) coupled waveguide arrays. By carefully
modulating a wide optical beam, we are able to effec- tively excite dipolar or
fundamental modes to study discrete diffraction (single-site excitation) and
gaussian beam propagation (multi-site excitation plus a phase gradient). We
observe that dipolar modes experience a larger spreading area due to an
effective larger coupling constant, which is found to be more than two times
larger than the one for fundamental modes. Addition- ally, we study the effect
of non-diagonal disorder and find that while fundamental modes are already
trapped on a weakly disorder array, dipoles are still able to prop- agate
across the system.


title:
Quantum dynamical bounds for ergodic potentials with underlying dynamics
  of zero topological entropy

abstract:
  In this paper we obtain upper quantum dynamical bounds as a corollary of
positive Lyapunov exponent for Schr\"odinger operators $H_{f,\theta}
u(n)=u(n+1)+u(n-1)+ \phi(f^n\theta)u(n)$, where $\phi : \mathcal{M}\to {\Bbb
R}$ is a piecewise H\"older function on a compact Riemannian manifold
$\mathcal{M}$, and $f:\mathcal{M}\to\mathcal{M}$ is a uniquely ergodic volume
preserving map with zero topological entropy. As corollaries we obtain
localization-type statements for shifts and skew-shifts on higher dimensional
tori with arithmetic conditions on the parameters. These are the first
localization-type results with precise arithmetic conditions for
multi-frequency quasiperiodic and skew-shift potentials.


title:
Correlation Matrix Spectra: A Tool for Detecting Non-apparent
  Correlations?

abstract:
  It has been shown that, if a model displays long-range (power-law) spatial
correlations, its equal-time correlation matrix of this model will also have a
power law tail in the distribution of its high-lying eigenvalues. The purpose
of this letter is to show that the converse is generally incorrect: a power-law
tail in the high-lying eigenvalues of the correlation matrix may exist even in
the absence of equal-time power law correlations in the original model. We may
therefore view the study of the eigenvalue distribution of the correlation
matrix as a more powerful tool than the study of correlations, one which may in
fact uncover structure, that would otherwise not be apparent. Specifically, we
show that in the Totally Asymmetric Simple Exclusion Process, whereas there are
no clearly visible correlations in the steady state, the eigenvalues of its
correlation matrix exhibit a rich structure which we describe in detail.


title: Towards Predictable Real-Time Performance on Multi-Core Platforms

abstract:
  Cyber-physical systems (CPS) integrate sensing, computing, communication and
actuation capabilities to monitor and control operations in the physical
environment. A key requirement of such systems is the need to provide
predictable real-time performance: the timing correctness of the system should
be analyzable at design time with a quantitative metric and guaranteed at
runtime with high assurance. This requirement of predictability is particularly
important for safety-critical domains such as automobiles, aerospace, defense,
manufacturing and medical devices.
  The work in this dissertation focuses on the challenges arising from the use
of modern multi-core platforms in CPS. Even as of today, multi-core platforms
are rarely used in safety-critical applications primarily due to the temporal
interference caused by contention on various resources shared among processor
cores, such as caches, memory buses, and I/O devices. Such interference is hard
to predict and can significantly increase task execution time, e.g., up to 12x
on commodity quad-core platforms. To address the problem of ensuring timing
predictability on multi-core platforms, we develop novel analytical and systems
techniques in this dissertation. Our proposed techniques theoretically bound
temporal interference that tasks may suffer from when accessing shared
resources. Our techniques also involve software primitives and algorithms for
real-time operating systems and hypervisors, which significantly reduce the
degree of the temporal interference. Specifically, we tackle the issues of
cache and memory contention, locking and synchronization, interrupt handling,
and access control for computational accelerators such as GPGPUs, all of which
are crucial to achieving predictable real-time performance on a modern
multi-core platform.


title:
A Tunably-Accurate Laguerre Petrov-Galerkin Spectral Method for
  Multi-Term Fractional Differential Equations on the Half Line

abstract:
  We present a new tunably-accurate Laguerre Petrov-Galerkin spectral method
for solving linear multi-term fractional initial value problems with derivative
orders at most one and constant coefficients on the half line. Our method
results in a matrix equation of special structure which can be solved in
$\mathcal{O}(N \log N)$ operations. We also take advantage of recurrence
relations for the generalized associated Laguerre functions (GALFs) in order to
derive explicit expressions for the entries of the stiffness and mass matrices,
which can be factored into the product of a diagonal matrix and a
lower-triangular Toeplitz matrix. The resulting spectral method is efficient
for solving multi-term fractional differential equations with arbitrarily many
terms. We apply this method to a distributed order differential equation, which
is approximated by linear multi-term equations through the Gauss-Legendre
quadrature rule. We provide numerical examples demonstrating the spectral
convergence and linear complexity of the method.


title: MIST: Missing Person Intelligence Synthesis Toolkit

abstract:
  Each day, approximately 500 missing persons cases occur that go
unsolved/unresolved in the United States. The non-profit organization known as
the Find Me Group (FMG), led by former law enforcement professionals, is
dedicated to solving or resolving these cases. This paper introduces the
Missing Person Intelligence Synthesis Toolkit (MIST) which leverages a
data-driven variant of geospatial abductive inference. This system takes search
locations provided by a group of experts and rank-orders them based on the
probability assigned to areas based on the prior performance of the experts
taken as a group. We evaluate our approach compared to the current practices
employed by the Find Me Group and found it significantly reduces the search
area - leading to a reduction of 31 square miles over 24 cases we examined in
our experiments. Currently, we are using MIST to aid the Find Me Group in an
active missing person case.


title: On conjugacy classes of $S_n$ containing all irreducibles

abstract:
  It is shown that for the conjugation action of the symmetric group $S_n,$
when $n=6$ or $n\geq 8,$ all $S_n$-irreducibles appear as constituents of a
single conjugacy class, namely, one indexed by a partition $\lambda$ of $n$
with at least two parts, whose parts are all distinct and taken from the set of
odd primes and 1. The following simple characterisation of conjugacy classes
containing all irreducibles is proved: If $n\neq 4,8,$ the partition $\lambda$
of $n$ indexes a global conjugacy class for $S_n$ if and only if it has at
least two parts, and all its parts are odd and distinct.


title: Critical number of fermions in three-dimensional QED

abstract:
  Previous analytical studies of quantum electrodynamics in $2+1$ dimensions
(QED3) have shown the existence of a critical number of fermions for onset of
chiral symmetry breaking, the most known being the value $N_c\approx3.28$
obtained by Nash to $1/N^2$ order in the $1/N$ expansion [16]. This analysis is
reconsidered by solving the Dyson-Schwinger equations for the fermion
propagator and the vertex to show that the more accurate gauge independent
value is $N_c\approx2.85$, and for $N<N_c$ the chiral symmetry is dynamically
broken. An estimate for the value of chiral condensate
$\langle\bar\psi\psi\rangle$ is given for $N=2$. Knowing precise $N_c$ would be
important for comparison between continuum studies and lattice simulations of
QED3.


title:
Darknet and Deepnet Mining for Proactive Cybersecurity Threat
  Intelligence

abstract:
  In this paper, we present an operational system for cyber threat intelligence
gathering from various social platforms on the Internet particularly sites on
the darknet and deepnet. We focus our attention to collecting information from
hacker forum discussions and marketplaces offering products and services
focusing on malicious hacking. We have developed an operational system for
obtaining information from these sites for the purposes of identifying emerging
cyber threats. Currently, this system collects on average 305 high-quality
cyber threat warnings each week. These threat warnings include information on
newly developed malware and exploits that have not yet been deployed in a
cyber-attack. This provides a significant service to cyber-defenders. The
system is significantly augmented through the use of various data mining and
machine learning techniques. With the use of machine learning models, we are
able to recall 92% of products in marketplaces and 80% of discussions on forums
relating to malicious hacking with high precision. We perform preliminary
analysis on the data collected, demonstrating its application to aid a security
expert for better threat analysis.


title: Connectionist Temporal Modeling for Weakly Supervised Action Labeling

abstract:
  We propose a weakly-supervised framework for action labeling in video, where
only the order of occurring actions is required during training time. The key
challenge is that the per-frame alignments between the input (video) and label
(action) sequences are unknown during training. We address this by introducing
the Extended Connectionist Temporal Classification (ECTC) framework to
efficiently evaluate all possible alignments via dynamic programming and
explicitly enforce their consistency with frame-to-frame visual similarities.
This protects the model from distractions of visually inconsistent or
degenerated alignments without the need of temporal supervision. We further
extend our framework to the semi-supervised case when a few frames are sparsely
annotated in a video. With less than 1% of labeled frames per video, our method
is able to outperform existing semi-supervised approaches and achieve
comparable performance to that of fully supervised approaches.


title: Three-nucleon bound states and the Wigner-SU(4) limit

abstract:
  We examine the extent to which the properties of three-nucleon bound states
are well-reproduced in the limit that nuclear forces satisfy Wigner's SU(4)
(spin-isospin) symmetry. To do this we compute the charge radii up to
next-to-leading order (NLO) in an effective field theory (EFT) that is an
expansion in powers of $R/a$, with $R$ the range of the nuclear force and $a$
the nucleon-nucleon ($N\!N$) scattering lengths. In the Wigner-SU(4) limit, the
triton and Helium-3 point charge radii are equal. At NLO in the range expansion
both are $1.66$ fm. Adding the first-order corrections due to the breaking of
Wigner symmetry in the $N\!N$ scattering lengths gives a ${}^3\mathrm{H}$ point
charge radius of $1.58$ fm, which is remarkably close to the experimental
number, $1.5978\pm0.040$ fm (Angeli and Marinova in At Data Nucl Data Tables
99:69-95, 2013). For the ${}^3\mathrm{He}$ point charge radius we find $1.70$
fm, about 4% away from the experimental value of $1.77527\pm0.0054$ fm (Angeli
and Marinova 2013). We also examine the Faddeev components that enter the
tri-nucleon wave function and find that an expansion of them in powers of the
symmetry-breaking parameter converges rapidly. Wigner's SU(4) symmetry is thus
a useful starting point for understanding tri-nucleon bound-state properties.


title:
Empirical Green's Function Approach for Utilizing Millisecond Focal and
  Pupil Plane Telemetry in Exoplanet Imaging

abstract:
  Millisecond focal plane telemetry is now becoming practical due to a new
generation of near-IR detector arrays with sub-electron noise that are capable
of kHz readout rates. Combining these data with those simultaneously available
from the wavefront sensing system allows the possibility of self-consistently
determining the optical aberrations (the cause of quasi-static speckles) and
the planetary image. This approach may be especially advantageous for finding
planets within about 3 $\lambda / D$ of the star where differential imaging is
ineffective. As shown in a recent article by the author (J. Opt. Soc. Am. A.,
33, 712, 2016), one must account for unknown aberrations in several
non-conjugate planes of the optical system, which, in turn, requires ability to
computational propagate the field between these planes. These computations are
likely to be difficult to implement and expensive. Here, a far more convenient
alternative based on empirical Green's functions is provided. It is shown that
the empirical Green's function (EGF), which accounts for all multi-planar,
non-common path aberrations, and results in a much more tractable and highly
parallel computational problem. It is also shown that the EGF can be
generalized to treat polarization, resulting in the empirical Green's tensor
(EGT).


title: Emergence of Yang Mills theory from the Non-Abelian Nambu Model

abstract:
  The equivalence between the Non-Abelian Nambu model (NANM) and Yang Mills
theory is proved, after demanding the Gauss laws at some initial time to the
first one. Thereby, the Lorentz violation encoded into the constraint that
defines the NANM is physically unobservable. As result, the Goldstone bosons in
the NANM arising from the spontaneous symmetry breaking can be identified as
the standard gauge fields.


title:
A feasibility study of ortho-positronium decays measurement with the
  J-PET scanner based on plastic scintillators

abstract:
  We present a study of the application of the Jagiellonian Positron Emission
Tomograph (J-PET) for the registration of gamma quanta from decays of
ortho-positronium (o-Ps). The J-PET is the first positron emission tomography
scanner based on organic scintillators in contrast to all current PET scanners
based on inorganic crystals. Monte Carlo simulations show that the J-PET as an
axially symmetric and high acceptance scanner can be used as a multi-purpose
detector well suited to pursue research including e.g. tests of discrete
symmetries in decays of ortho-positronium in addition to the medical imaging.
The gamma quanta originating from o-Ps decay interact in the plastic
scintillators predominantly via the Compton effect, making the direct
measurement of their energy impossible. Nevertheless, it is shown in this paper
that the J-PET scanner will enable studies of the o-Ps$\to3\gamma$ decays with
angular and energy resolution equal to $\sigma(\theta) \approx 0.4^{\circ}$ and
$\sigma(E) \approx 4.1$ keV, respectively. An order of magnitude shorter decay
time of signals from plastic scintillators with respect to the inorganic
crystals results not only in better timing properties crucial for the reduction
of physical and instrumental background, but also suppresses significantly the
pileups, thus enabling compensation of the lower efficiency of the plastic
scintillators by performing measurements with higher positron source
activities.


title:
Phase diagram and non-Abelian symmetry locking for fermionic mixtures
  with unequal interactions

abstract:
  The occurrence of non-Abelian symmetry-locked states in ultracold fermionic
mixtures with four components is investigated. We study the phase diagram in
the presence of an attractive interaction between the species of two pairs of
the mixture, and general (also repulsive) interactions between the species of
each pair. This system is physically realized, e.g., in mixtures of two
different earth-alkaline species, both of them with two hyperfine levels
selectively populated. We find an extended region of the diagram exhibiting a
two-flavors superfluid symmetry-locking (TSFL) phase. This phase is present
also for not too large repulsive intra-pair interactions and it is
characterized by a global non-Abelian symmetry group obtained by locking
together two independent invariance groups of the corresponding normal state.
Explicit estimates are reported for the mixture of the fermionic isotopes
$^{171}\mathrm{Yb}$-$^{173}\mathrm{Yb}$, indicating that the TFSL phase can be
achieved also without tuning the interactions between $\mathrm{Yb}$ atoms.


title:
Purely log terminal threefolds with non-normal centres in characteristic
  two

abstract:
  We show that many classical results of the minimal model programme do not
hold over an algebraically closed field of characteristic two. Indeed, we
construct a three dimensional plt pair whose codimension one part is not
normal, a three dimensional klt singularity which is not rational nor
Cohen-Macaulay, and a klt Fano threefold with non-trivial intermediate
cohomology.


title: Tidal spin down rates of homogeneous triaxial viscoelastic bodies

abstract:
  We use numerical simulations to measure the sensitivity of the tidal spin
down rate of a homogeneous triaxial ellipsoid to its axis ratios by comparing
the drift rate in orbital semi-major axis to that of a spherical body with the
same mass, volume and simulated rheology. We use a mass-spring model
approximating a viscoelastic body spinning around its shortest body axis, with
spin aligned with orbital spin axis, and in circular orbit about a point mass.
The torque or drift rate can be estimated from that predicted for a sphere with
equivalent volume if multiplied by $0.5 (1 + b^4/a^4)(b/a)^{-4/3}
(c/a)^{-\alpha_c}$ where $b/a$ and $c/a$ are the body axis ratios and index
$\alpha_c \approx 1.05$ is consistent with the random lattice mass spring model
simulations but $\alpha_c = 4/3$ suggested by scaling estimates.
  A homogeneous body with axis ratios 0.5 and and 0.8, like Haumea, has orbital
semi-major axis drift rate about twice as fast as a spherical body with the
same mass, volume and material properties. A simulation approximating a mostly
rocky body but with 20\% of its mass as ice concentrated at its ends has a
drift rate 10 times faster than the equivalent homogeneous rocky sphere.
However, this increase in drift rate is not enough to allow Haumea's satellite,
Hi'iaka, to have tidally drifted away from Haumea to its current orbital
semi-major axis.


title: Modeling selectional restrictions in a relational type system

abstract:
  Selectional restrictions are semantic constraints on forming certain complex
types in natural language. The paper gives an overview of modeling selectional
restrictions in a relational type system with morphological and syntactic
types. We discuss some foundations of the system and ways of formalizing
selectional restrictions.
  Keywords: type theory, selectional restrictions, syntax, morphology


title:
The General Solution for the Relativistic and Nonrelativistic
  Schr\"odinger Equation for the $\delta^{(n)}$-Function Potential in
  1-dimension Using Cutoff Regularization, and the Fate of Universality

abstract:
  A general method has been developed to solve the Schr\"odinger equation for
an arbitrary derivative of the $\delta$-function potential in 1-d using cutoff
regularization. The work treats both the relativistic and nonrelativistic
cases. A distinction in the treatment has been made between the case when the
derivative $n$ is an even number from the one when $n$ is an odd number. A
general gap equations for each case has been derived. The case of
$\delta^{(2)}$-function potential has been used as an example. The results from
the relativistic case show that the $\delta^{(2)}$-function system behaves
exactly like the $\delta$-function and the $\delta'$-function potentials, which
means it also shares the same features with quantum field theories, like being
asymptotically free, in the massless limit, it undergoes dimensional
transmutation and it possesses an infrared conformal fixed point. As a result
the evidence of universality of contact interactions has been extended further
to include the $\delta^{(2)}$-function potential.


title: Inversion symmetry breaking and criticality in free fermionic lattices

abstract:
  We describe the connection between inversion symmetry breaking and
criticality in free fermionic lattice models. It is shown that for
translation-invariant spinless fermions, the breaking of this symmetry in the
ground state implies criticality, i.e., the existence of long-range
correlations and the vanishing of the spectral gap; while for models with spin,
only the asymmetry of the spin-averaged covariance matrix implies a similar
conclusion. Our results are proved by introducing invariants under global
translation-invariant free fermion quenches. Using this result, we identify a
set of models where the generalized Hartree-Fock approximation must break down.