title: Spin-sensitive atom mirror via spin-orbit interaction

abstract:
  Based on the spin-orbit coupling recently implemented in a neutral cold-atom
gas, we propose a scheme to realize spin-dependent scattering of cold atoms. In
particular we consider a matter wave packet of cold-atom gas impinging upon a
step potential created by the optical light field, inside of which the atoms
are subject to spin-orbit interaction. We show that the proposed system can act
as a spin polarizer or spin-selective atom mirror for the incident atomic beam.
The principle and the operating parameter regime of the system are carefully
discussed.


title: Alcove path model for $B(\infty)$

abstract:
  We construct a model for $B(\infty)$ using the alcove path model of Lenart
and Postnikov. We show that the continuous limit of our model recovers a dual
version of the Littelmann path model for $B(\infty)$ given by Li and Zhang.
Furthermore, we consider the dual version of the alcove path model and obtain
analogous results for the dual model, where the continuous limit gives the Li
and Zhang model.


title:
Random matrix analysis of the monopole strength distribution in
  $^{208}$Pb

abstract:
  We study statistical properties of the $0^+$ spectrum of $^{208}$Pb in the
energy region $E_x\leq20$ MeV. We use the Skyrme interaction SLy4 as our model
Hamiltonian to create a single-particle spectrum and to analyze excited states.
The finite-rank separable approximation for the particle-hole interaction
enables us to perform the calculations in large configuration spaces. We show
that while the position of the monopole resonance centroid is determined by one
phonon excitations of $0^+$, the phonon-phonon coupling is crucial for the
description of a strength distribution of the $0^+$ spectrum. In fact, this
coupling has an impact on the spectral rigidity $\Delta_3(L)$ which is shifted
towards the random matrix limit of the Gaussian orthogonal ensembles.


title:
Current presentation for the double super-Yangian
  $DY(\mathfrak{gl}(m|n))$ and Bethe vectors

abstract:
  We find Bethe vectors for quantum integrable models associated with the
supersymmetric Yangians $Y(\mathfrak{gl}(m|n)$ in terms of the current
generators of the Yangian double $DY(\mathfrak{gl}(m|n))$. More specifically,
we use the method of projections onto intersections of different type Borel
subalgebras in this infinite dimensional algebra to construct the Bethe
vectors. Calculating these projection the supersymmetric Bethe vectors can be
expressed through matrix elements of the universal monodromy matrix elements.
Using two different but isomorphic current realizations of the Yangian double
$DY(\mathfrak{gl}(m|n))$ we obtain two different presentations for the Bethe
vectors. These Bethe vectors are also shown to obey some recursion relations
which prove their equivalence.


title: Associative Memory using Dictionary Learning and Expander Decoding

abstract:
  An associative memory is a framework of content-addressable memory that
stores a collection of message vectors (or a dataset) over a neural network
while enabling a neurally feasible mechanism to recover any message in the
dataset from its noisy version. Designing an associative memory requires
addressing two main tasks: 1) learning phase: given a dataset, learn a concise
representation of the dataset in the form of a graphical model (or a neural
network), 2) recall phase: given a noisy version of a message vector from the
dataset, output the correct message vector via a neurally feasible algorithm
over the network learnt during the learning phase. This paper studies the
problem of designing a class of neural associative memories which learns a
network representation for a large dataset that ensures correction against a
large number of adversarial errors during the recall phase. Specifically, the
associative memories designed in this paper can store dataset containing
$\exp(n)$ $n$-length message vectors over a network with $O(n)$ nodes and can
tolerate $\Omega(\frac{n}{{\rm polylog} n})$ adversarial errors. This paper
carries out this memory design by mapping the learning phase and recall phase
to the tasks of dictionary learning with a square dictionary and iterative
error correction in an expander code, respectively.


title:
Modal decomposition of a propagating matter wave via electron
  ptychography

abstract:
  We employ ptychography, a phase-retrieval imaging technique, to show
experimentally for the first time that a partially coherent high-energy matter
(electron) wave emanating from an extended source can be decomposed into a set
of mutually independent modes of minimal rank. Partial coherence significantly
determines the optical transfer properties of an electron microscope and so
there has been much work on this subject. However, previous studies have
employed forms of interferometry to determine spatial coherence between
discrete points in the wavefield. Here we use the density matrix to derive a
formal quantum mechanical description of electron ptychography and use it to
measure a full description of the spatial coherence of a propagating matter
wavefield, at least to the within the fundamental uncertainties of the
measurements we can obtain.


title:
Noise and Disturbance Compensation Approach for Linear Time-Invariant
  Plants

abstract:
  The algorithm with compensation of parametric uncertainties, external
disturbances and measurement noises for linear time-invariant plants is
designed. It is assumed, that the dimension of the noise can be equaled to the
state vector dimension and the disturbance can be presented in any equation of
the plant model. Analytical condition for algorithm feasibility is proposed.
Simulation results show the efficiency of the proposed algorithm.


title:
Spatial organization and cyclic dominance in asymmetric predator-prey
  spatial games

abstract:
  Predators may attack isolated or grouped prey in a cooperative, collective
way. Whether a gregarious behavior is advantageous to each species depends on
several conditions and game theory is a useful tool to deal with such a
problem. We here extend the Lett-Auger-Gaillard model [Theor. Pop. Biol. 65
(2004) 263] to spatially distributed populations and compare the resulting
behavior with their mean-field predictions for the coevolving densities of
predator and prey strategies. Besides its richer behavior in the presence of
spatial organization, we also show that the coexistence phase in which
collective and individual strategies for each group are present is stable
because of an effective, cyclic dominance mechanism similar to a well-studied
generalization of the Rock-Paper-Scissors game with four species, a further
example of how ubiquitous this coexistence mechanism is.


title: Closing the loop: surveying PIs who have not published their data

abstract:
  With high over-subscription rates and significant operational costs,
observatories must ensure that their operations are efficient and effective. A
number of key performance indicators are generally used to evaluate the
observatory's performance among which are the numbers of publications and
citations of refereed journal articles to measure the overall scientific
impact. Those measures, however, are broad and can not assess whether the
observatory was successful on a project-by-project basis to deliver data to the
PIs enabling them to carry out their science and to publish their results. In
particular the reasons that prevented PIs from publishing remain hidden.
Understanding and acting upon those reasons, however, have the potential to
substantially improve the observatory's operational model. Of course not every
approved project even should lead to a publication. Indeed, the risk of not
finding the expected (or any unexpected) science in the data the PI receives is
an inherent and indispensable part of the scientific process. But even here,
measuring the fraction of such projects can lead to valuable insights which
might then be used to instruct future proposal review committees. To fully
close the loop on the end-to-end data-flow, ALMA has started in March 2015 to
send survey questions to PIs where two years after the end of the proprietary
period no publication making use of the delivered data could be identified. We
describe our method as well as the type of conclusions we hope to be able to
draw once a statistically relevant sample of answers has been received.


title:
Environmental Bisimulations for Delimited-Control Operators with Dynamic
  Prompt Generation

abstract:
  We present sound and complete environmental bisimilarities for a variant of
Dybvig et al.'s calculus of multi-prompted delimited-control operators with
dynamic prompt generation. The reasoning principles that we obtain generalize
and advance the existing techniques for establishing program equivalence in
calculi with single-prompted delimited control. The basic theory that we
develop is presented using Madiot et al.'s framework that allows for smooth
integration and composition of up-to techniques facilitating bisimulation
proofs. We also generalize the framework in order to express environmental
bisimulations that support equivalence proofs of evaluation contexts
representing continuations. This change leads to a novel and powerful up-to
technique enhancing bisimulation proofs in the presence of control operators.


title:
All-angle negative refraction of highly squeezed plasmon and phonon
  polaritons in graphene-boron nitride heterostructures

abstract:
  A fundamental building block for nanophotonics is the ability to achieve
negative refraction of polaritons, because this could enable the demonstration
of many unique nanoscale applications such as deep-subwavelength imaging,
superlens, and novel guiding. However, to achieve negative refraction of highly
squeezed polaritons, such as plasmon polaritons in graphene and phonon
polaritons in boron nitride (BN) with their wavelengths squeezed by a factor
over 100, requires the ability to flip the sign of their group velocity at
will, which is challenging. Here we reveal that the strong coupling between
plasmon and phonon polaritons in graphene-BN heterostructures can be used to
flip the sign of the group velocity of the resulting hybrid
(plasmon-phonon-polariton) modes. We predict all-angle negative refraction
between plasmon and phonon polaritons, and even more surprisingly, between
hybrid graphene plasmons, and between hybrid phonon polaritons. Graphene-BN
heterostructures thus provide a versatile platform for the design of
nano-metasurfaces and nano-imaging elements.


title: Measuring Global Monopole Velocities, one by one

abstract:
  We present an estimation of the average velocity of a network of global
monopoles in a cosmological setting using large numerical simulations. In order
to obtain the value of the velocity, we improve some already known methods, and
present a new one. This new method estimates individual global monopole
velocities in a network, by means of detecting each monopole position in the
lattice and following the path described by each one of them. Using our new
estimate we can settle an open question previously posed in the literature:
velocity-dependent one-scale (VOS) models for global monopoles predict two
branches of scaling solutions, one with monopoles moving at subluminal speeds
and one with monopoles moving at luminal speeds. Previous attempts to estimate
monopole velocities had large uncertainties and were not able to settle that
question. Our simulations find no evidence of a luminal branch. We also
estimate the values of the parameters of the VOS model. With our new method we
can also study the microphysics of the complicated dynamics of individual
monopoles. Finally we use our large simulation volume to compare the results
from the different estimator methods, as well as to asses the validity of the
numerical approximations made.


title:
Investigating convergence of the reaction $\gamma p\to\pi^\pm\Delta$ and
  tensor meson $a_2$ exchange at high energy

abstract:
  A Regge approach to the reaction processes $\gamma p\to\pi^-\Delta^{++}$ and
$\gamma p\to\pi^+\Delta^0$ is presented for the description of existing data up
to $E_\gamma= 16$ GeV. The model consists of the $t$-channel
$\pi(139)+\rho(775)+a_2(1320)$ exchanges which are reggeized from the relevant
Born amplitude. Discussion is given on the minimal gauge prescription for the
$\pi$ exchange to render convergent the divergence of the $u$-channel
$\Delta$-pole in the former process. A new Lagrangian is constructed for the
$a_2N\Delta$ coupling in this work and applied to the process for the first
time with the coupling constant deduced from the duality plus vector dominance.
It is shown that, while the $\pi$ exchange dominates over the process, the role
of the $a_2$ exchange is crucial rather than the $\rho$ in reproducing the
cross sections for total, differential, and photon polarization asymmetry to
agree with data at high energy.


title: Improving Variational Auto-Encoders using Householder Flow

abstract:
  Variational auto-encoders (VAE) are scalable and powerful generative models.
However, the choice of the variational posterior determines tractability and
flexibility of the VAE. Commonly, latent variables are modeled using the normal
distribution with a diagonal covariance matrix. This results in computational
efficiency but typically it is not flexible enough to match the true posterior
distribution. One fashion of enriching the variational posterior distribution
is application of normalizing flows, i.e., a series of invertible
transformations to latent variables with a simple posterior. In this paper, we
follow this line of thinking and propose a volume-preserving flow that uses a
series of Householder transformations. We show empirically on MNIST dataset and
histopathology data that the proposed flow allows to obtain more flexible
variational posterior and competitive results comparing to other normalizing
flows.


title:
Cover's universal portfolio, stochastic portfolio theory and the
  numeraire portfolio

abstract:
  Cover's celebrated theorem states that the long run yield of a properly
chosen "universal" portfolio is as good as the long run yield of the best
retrospectively chosen constant rebalanced portfolio. The "universality"
pertains to the fact that this result is model-free, i.e., not dependent on an
underlying stochastic process. We extend Cover's theorem to the setting of
stochastic portfolio theory as initiated by R. Fernholz: the rebalancing rule
need not to be constant anymore but may depend on the present state of the
stock market. This model-free result is complemented by a comparison with the
log-optimal numeraire portfolio when fixing a stochastic model of the stock
market. Roughly speaking, under appropriate assumptions, the optimal long run
yield coincides for the three approaches mentioned in the title of this paper.
We present our results in discrete and continuous time.


title:
Epsilon coherent states with polyanalytic coefficients for the harmonic
  oscillator

abstract:
  We construct a new class of coherent states indexed by points z of the
complex plane and depending on two positive parameters m and epsilon by
replacing the coefficients of the canonical coherent states by polyanalytic
functions. These states solve the identity of the states Hilbert space of the
harmonic oscillator at the limit epsilon goes to zero and obey a thermal
stability property. Their wavefunctions are obtained in a closed form and their
associated Bargmann-type transform is also discussed.


title: Formal Languages, Formally and Coinductively

abstract:
  Traditionally, formal languages are defined as sets of words. More recently,
the alternative coalgebraic or coinductive representation as infinite tries,
i.e., prefix trees branching over the alphabet, has been used to obtain compact
and elegant proofs of classic results in language theory. In this article, we
study this representation in the Isabelle proof assistant. We define regular
operations on infinite tries and prove the axioms of Kleene algebra for those
operations. Thereby, we exercise corecursion and coinduction and confirm the
coinductive view being profitable in formalizations, as it improves over the
set-of-words view with respect to proof automation.


title: Graphs immersions to the projective plane

abstract:
  Immersions of graphs to the projective plane are studied. A classification of
immersions up to regular homotopy is given. A complete invariant of immersions
up to regular homotopy is constructed. Equivalence classes are described.


title:
Testability of evolutionary game dynamics models based on experimental
  economics data

abstract:
  Understanding the dynamic processes of a real game system requires an
appropriate dynamics model, and rigorously testing a dynamics model is
non-trivial. In our methodological research, we develop an approach to testing
the validity of game dynamics models that considers the dynamic patterns of
angular momentum and speed as measurement variables. Using Rock-Paper-Scissors
(RPS) games as an example, we illustrate the geometric patterns in the
experiment data. We then derive the related theoretical patterns from a series
of typical dynamics models. By testing the goodness-of-fit between the
experimental and theoretical patterns, we show that the validity of these
models can be evaluated quantitatively. Our approach establishes a link between
dynamics models and experimental systems, which is, to the best of our
knowledge, the most effective and rigorous strategy for ascertaining the
testability of evolutionary game dynamics models.


title: Symmetric products of a real curve and the moduli space of Higgs bundles

abstract:
  Consider a Riemann surface $X$ of genus $g \geq 2$ equipped with an
antiholomorphic involution $\tau$. This induces a natural involution on the
moduli space $M(r,d)$ of semistable Higgs bundles of rank $r$ and degree $d$.
If $D$ is a divisor such that $\tau(D) = D$, this restricts to an involution on
the moduli space $M(r,D)$ of semistable Higgs bundles of rank $r$ with fixed
determinant $\mathcal{O}(D)$ and trace-free Higgs field. The fixed point sets
of these involutions $M(r,d)^{\tau}$ and $M(r,D)^{\tau}$ are $(A,A,B)$-branes
introduced by Baraglia-Schaposnik. In this paper, we derive formulas for the
mod 2 Betti numbers of $M(r,d)^{\tau}$ and $M(r,D)^{\tau}$ when $r=2$ and $d$
is odd. In the course of this calculation, we also compute the mod 2 cohomology
ring of $SP^m(X)^{\tau}$, the fixed point set of the involution induced by
$\tau$ on symmetric products of the Riemann surface.


title: Partition dimension of projective planes

abstract:
  We determine the partition dimension of the incidence graph $G(\Pi_q)$ of the
projective plane $\Pi_q$ up to a constant factor $2$ as $(2+o(1))\log_2{q}\leq
\mathrm{pd}(G(\Pi_q))\leq (4+o(1))\log_2{q}.$


title: Nonlinear reconstruction

abstract:
  We present a direct approach to nonparametrically reconstruct the linear
density field from an observed nonlinear map. We solve for the unique
displacement potential consistent with the nonlinear density and positive
definite coordinate transformation using a multigrid algorithm. We show that we
recover the linear initial conditions up to the nonlinear scale
($r_{\delta_r\delta_L}>0.5$ for $k\lesssim1\ h/\mathrm{Mpc}$) with minimal
computational cost. This reconstruction approach generalizes the linear
displacement theory to fully nonlinear fields, potentially substantially
expanding the baryon acoustic oscillations and redshift space distortions
information content of dense large scale structure surveys, including for
example SDSS main sample and 21cm intensity mapping initiatives.


title: Discretized sum-product estimates in matrix algebras

abstract: We generalize Bourgain's discretized sum-product theorem to matrix algebras.


title: Cosmic Censorship Conjecture in Kerr-Sen Black Hole

abstract:
  The validity of the cosmic censorship conjecture for the Kerr-Sen black hole,
which is a solution to the low-energy effective field theory for
four-dimensional heterotic string theory, is investigated using charged
particle absorption. When the black hole absorbs the particle, the charge on it
changes owing to the conserved quantities of the particle. Changes in the black
hole are constrained to the equation for the motion of the particle and are
consistent with the laws of thermodynamics. Particle absorption increases the
mass of the Kerr-Sen black hole to more than that of the absorbed charges such
as angular momentum and electric charge; hence, the black hole cannot be
overcharged. In the near-extremal black hole, we observe a violation of the
cosmic censorship conjecture for the angular momentum in the first order of
expansion and the electric charge in the second order. However, considering an
adiabatic process carrying the conserved quantities as those of the black hole,
we prove the stability of the black hole horizon. Thus, we resolve the
violation. This is consistent with the third law of thermodynamics.


title: Involutions of type $G_2$ over a field of characteristic 2

abstract:
  In this paper we give a classification of classes of involutions on an
automorphism group of an octonion algebra over fields of characteristic 2, and
describe the classes of their fixed point groups.


title:
Anisotropic magnetic responses of topological crystalline
  superconductors

abstract:
  Majorana Kramers pairs emerged on surfaces of time-reversal-invariant
topological crystalline superconductors show the Ising anisotropy to an applied
magnetic field. We clarify that crystalline symmetry uniquely determines the
direction of the Majorana Ising spin for given irreducible representations of
pair potential, deriving constraints to topological invariants. Besides,
necessary conditions for nontrivial topological invariants protected by the
n-fold rotational symmetry are shown.


title: Direct solution of piecewise linear systems

abstract:
  Let $S$ be a real $n\times n$ matrix, $z,\hat c\in \mathbb R^n$, and $| z|$
the componentwise modulus of $z$. Then the piecewise linear equation system
$$z-S| z| = \hat c$$ is called an \textit{absolute value equation} (AVE). It
has been proven to be equivalent to the general \textit{linear complementarity
problem}, which means that it is NP hard in general.
  We will show that for several system classes the AVE essentially retains the
good natured solvability properties of regular linear systems. I.e., it can be
solved directly by a slightly modified Gaussian elimination that we call the
signed Gaussian elimination. For dense matrices $S$ this algorithm has the same
operations count as the classical Gaussian elimination with symmetric pivoting.
For tridiagonal systems in $n$ variables its computational cost is roughly that
of sorting $n$ floating point numbers. The sharpness of the proposed
restrictions on $S$ will be established.


title: Role of uncrosslinked chains in droplets dynamics on silicone elastomers

abstract:
  We report an unexpected behavior in wetting dynamics on soft silicone
substrates: the dynamics of aqueous droplets deposited on vertical plates of
such elastomers exhibits two successive speed regimes. This macroscopic
observation is found to be closely related to microscopic phenomena occurring
at the scale of the polymer network: we show that uncrosslinked chains found in
most widely used commercial silicone elastomers are responsible for this
surprising behavior. A direct visualization of the uncrosslinked oligomers
collected by water droplets is performed, evidencing that a capillarity-induced
phase separation occurs: uncrosslinked oligomers are extracted from the
silicone elastomer network by the water-glycerol mixture droplet. The sharp
speed change is shown to coincide with an abrupt transition in surface tension
of the droplets, when a critical surface concentration in uncrosslinked
oligomer chains is reached. We infer that a droplet shifts to a second regime
with a faster speed when it is completely covered with a homogeneous oil film.


title:
Equivalence of two different notions of tangent bundle on rectifiable
  metric measure spaces

abstract:
  We prove that for a suitable class of metric measure spaces, the abstract
notion of tangent module as defined by the first author can be isometrically
identified with the space of $L^2$-sections of the `Gromov-Hausdorff tangent
bundle'.
  The class of spaces $({\rm X},{\sf d},{\mathfrak m})$ we consider are PI
spaces that for every $\varepsilon>0$ admit a countable collection of Borel
sets $(U_i)$ covering ${\mathfrak m}$-a.e.\ ${\rm X}$ and corresponding
$(1+\varepsilon)$-biLipschitz maps $\varphi_i:U_i\to{\mathbb R}^{k_i}$ such
that $(\varphi_i)_*{\mathfrak m}\lower3pt\hbox{$|_{U_i}$}\ll\mathcal L^{k_i}$.
This class is known to contain ${\sf RCD}^*(K,N)$ spaces.
  Part of the work we carry out is that to give a meaning to notion of
$L^2$-sections of the Gromov-Hausdorff tangent bundle, in particular explaining
what it means to have a measurable map assigning to ${\mathfrak m}$-a.e.\ $x\in
{\rm X}$ an element of the pointed-Gromov-Hausdorff limit of the blow-up of
${\rm X}$ at $x$.


title:
How to overcome the Courant-Friedrichs-Lewy condition of explicit
  discretizations?

abstract:
  This manuscript contains some thoughts on the discretization of the classical
heat equation. Namely, we discuss the advantages and disadvantages of explicit
and implicit schemes. Then, we show how to overcome some disadvantages while
preserving some advantages. However, since there is no free lunch, there is a
price to pay for any improvement in the numerical scheme. This price will be
thoroughly discussed below. In particular, we like explicit discretizations for
the ease of their implementation even for nonlinear problems. Unfortunately,
when these schemes are applied to parabolic equations, severe stability limits
appear for the time step magnitude making the explicit simulations
prohibitively expensive. Implicit schemes remove the stability limit, but each
time step requires now the solution of linear (at best) or even nonlinear
systems of equations. However, there exists a number of tricks to overcome (or
at least to relax) severe stability limitations of explicit schemes without
going into the trouble of fully implicit ones. The purpose of this manuscript
is just to inform the readers about these alternative techniques to extend the
stability limits. It was not written for classical scientific publication
purposes.


title:
An Electromagnetic Induced Transparency-like Scheme for Wireless Power
  Transfer Using Dielectric Resonators

abstract:
  Similar to the hybridization of three atoms, three coupled resonators
interact to form bonding, anti-bonding and non-bonding modes. The non-bonding
mode enables an electromagnetic induced transparency like transfer of energy.
Here the non-bonding mode, resulting from the strong electric coupling of two
dielectric resonators and an enclosure, is exploited to show that it is
feasible to transfer power over a distance comparable to the operating
wavelength. In this scheme, the enclosure acts as a mediator. The strong
coupling permits the excitation of the non-bonding mode with high purity. This
approach is different from resonant inductive coupling which works in the
sub-wavelength regime. Optimal loads and the corresponding maximum efficiency
are determined using two independent methods: Coupled Mode Theory and Circuit
modelling. It is shown that, unlike resonant inductive coupling, the figure of
merit depends on the enclosure quality and not on the load, which emphasizes
the role of the enclosure as a mediator. Briefly after the input excitation is
turned on, the energy in the receiver builds up via all coupled and spurious
modes. As time elapses, all modes except the non-bonding cease to sustain. Due
to the strong coupling between the dielectrics and the enclosure, such systems
have unique properties such as high and uniform efficiency over large
distances; and minimal fringing fields. These properties suggest that
electromagnetic induced transparency like schemes which rely on the use of
dielectric resonators can be used to power autonomous systems inside an
enclosure or find applications when exposure to the fields needs to be minimal.
Finite Element computations are used to verify the theoretical predictions by
determining the transfer efficiency, fields profile and coupling coefficients
for two different systems.


title: PeBLes: Prediction of B-cell epitope using molecular layers

abstract:
  Characterization of B-cell protein epitope and developing critical parameters
for its identification is one of the long standing interests. Using Layers
algorithm, we introduced the concept of anchor residues to identify epitope. We
have shown that majority of the epitope is composed of anchor residues and have
significant bias in epitope for these residues. We optimized the search space
reduction for epitope identification. We used Layers to non-randomly sample the
antigen surface reducing the molecular surface to an average of 75 residues
while preserving 50% of the epitope in the sample surface. To facilitate the
comparison of favorite methods of researchers we compared the popular
techniques used to identify epitope with their sampling performance and
evaluation. We proposed an optimum Sr of 16 {\AA} to sample the antigen
molecules to reduce the search space, in which epitope is identified using
buried surface area method. We used the combinations of molecular surface
sampling, anchor residue intensity in surface, secondary structure and sequence
information to predict epitope at an accuracy of 89%. A web application is made
available at
http://www.csb.iitkgp.ernet.in/applications/b_cell_epitope_pred/main.


title:
Efficient high-order analysis of bowtie nanoantennas using the locally
  corrected Nystrom method

abstract:
  It is demonstrated that the Locally Corrected Nystrom (LCN) method is a
versatile and numerically efficient computational method for the modeling of
scattering from plasmonic bowtie nanoantennas. The LCN method is a high-order
analysis method that can provide exponential convergence. It is straightforward
to implement, accurate and computationally efficient. To the best of the
authors knowledge, the high-order LCN is here applied for the first time to 3D
nanostructures. Numerical results show the accuracy and efficiency of the LCN
applied to the electromagnetic analysis of nanostructures.


title:
Source illusion devices for flexural Lamb waves using elastic
  metasurfaces

abstract:
  Metamaterials with the transformation method has greatly promoted the
development in achieving invisibility and illusion for various classical waves.
However, the requirement of tailor-made bulk materials and extreme constitutive
parameters associated to illusion designs hampers its further progress.
Inspired by recent demonstrations of metasurfaces in achieving reduced versions
of electromagnetic cloaks, we propose and experimentally demonstrate source
illusion devices to manipulate flexural waves using metasurfaces. The approach
is particularly useful for elastic waves due to the lack of form-invariance in
usual transformation methods. We demonstrate metasurfaces for shifting,
transforming and splitting a point source with "space-coiling" structures. The
effects are found to be broadband and robust against a change of source
position, with agreement from numerical simulations and Huygens-Fresnel theory.
The proposed approach provides an avenue to generically manipulate guided
elastic waves in solids, and is potentially useful for applications such as
non-destructive testing, enhanced sensing and imaging.


title: Surface Plasmon-Coupled Enhanced Transmission

abstract:
  For distances less 10 nm, a total energy transfer occurs from a quantum
emitter to a nearby metallic surface, producing evanescent surface waves that
are plasmonic in nature. When investigating a metallic nanohole supported on an
optically dense substrate (such as diamond with nitrogen vacancy center), the
scattering occurred preferentially from the diamond substrate towards the air
for dipole distances less 10 nm from the aperture. In addition, an enhancement
to the dipole's radiative decay rate was observed when resonance of the
aperture matched the emitters wavelength. The relationship between an emitter
and a nearby resonant aperture is shown to be that of the resonance energy
transfer where the emitter acts as a donor and the hole as an acceptor. In
conjunction with the preferential scattering behavior, this has led to the
proposed device that operates in transmission mode, eliminating the need for
epi-illumination techniques and optically denser than air superstrates in the
collection cycle, hence making the design simpler and more suitable for
miniaturization. A design criterion for the surface grating is also proposed to
improve the performance, where the period of the grating differs significantly
from the wavelength of the surface plasmon polaritons. Response of the proposed
device is further studied with respect to changes in nitrogen vacancy's
position and its dipolar orientation to identify the crystallographic planes of
diamond over which the performance of the device is maximized.


title:
Highly rotating fluids with vertical stratification for periodic data
  and vanishing vertical viscosity

abstract:
  We prove that the primitive equations without vertical diffusivity are
globally well-posed (if the Rossby and Froude number are sufficiently small) in
suitable Sobolev anisotropic spaces. Moreover if the Rossby and Froude number
tend to zero at a comparable rate the global solutions of the primitive
equations converge globally to the global solutions of a suitable limit system.
The space domain considered has to belong to a class of tori which is general
enough to include all non-resonant tori and many resonant tori as well.


title:
Gauge fermions with flat bands and anomalous transport via chiral modes
  from breaking gauge symmetry

abstract:
  The dispersionless longitudinal photon in Maxwell theory is thought of as a
redundant degree of freedom due to the gauge symmetry. We find that when there
exist exactly flat bands with zero energy in a condensed matter system, the
fermion field may locally transform as a gauge field and the system possesses a
gauge symmetry. As the longitudinal photon, the redundant degrees of freedom
from the flat bands must be gauged away from the physical states. As an
example, we study spinless fermions on a generalized Lieb lattice in three
dimensions. The flat band of the longitudinal fermion induces a gauge symmetry.
An external magnetic field breaks this gauge symmetry and emerges a bunch of
non-topologically chiral modes. Combining these emergent chiral modes with the
chiral anomaly mode which is of an opposite chirality, rich anomalous electric
transport phenomena exhibit and are expected to be observed in
Pd$_3$Bi$_2$S$_2$ and Ag$_3$Se$_2$Au.


title:
Newtonian black holes: Particle production, "Hawking" temperature,
  entropies and entropy field equations

abstract:
  Newtonian gravitation with some slight modifications, along with some highly
simplified ideas from quantum field theory allow us to reproduce, at least at
the level of back-of-the-envelope calculations, many results of black hole
physics. We consider particle production by a black hole, the Newtonian
equivalent of the Hawking temperature, and the Bekenstein entropy. Also, we are
able to deduce Newtonian field equations from entropy. We finally study
higher-order Newtonian theories under the same assumptions used for ordinary
Newtonian theory. In a companion article we will look at entropic forces for
various entropies and make contact with our analysis of higher-order Newtonian
theories.


title: Quantum phase transitions: The mean-field perspective

abstract:
  To illustrate a simple mean-field-like approach for examining quantum phase
transitions we consider the $J-J^\prime$ quantum Heisenberg antiferromagnet on
a square lattice. The exchange couplings $J$ and $J^\prime$ are competing with
each other. The ratio $J^\prime/J$ is the control parameter and its change
drives the transition. We adopt a variational ansatz, calculate the
ground-state energy as well as the order parameter and describe the quantum
phase transition inherent in the model. This description corresponds completely
to the standard Landau theory of phase transitions. We also discuss how to
generalize such an approach for more complicated quantum spin models.


title: Le transfert singulier pour la formule des traces de Jacquet-Rallis

abstract:
  The relative trace formula of Jacquet-Rallis (for unitary groups or general
linear groups) is an identity between periods of automorphic representations
and geometric distributions. In this paper, we prove the transfer between all
geometric terms of unitary groups and those of linear groups. We also show that
all geometric terms are in the weak closure of local regular semi-simple
orbital integrals. We mention an application to the Gan-Gross-Prasad conjecture
for unitary groups.


title:
Measurement of the differential cross section for top-quark-pair
  production in the dilepton channel at $\sqrt{s}$ = 13 TeV with the CMS
  detector

abstract:
  Measurements of normalized differential top-quark-pair ($t\bar{t}$)
production cross sections are performed using final states with two leptons
($e^+e^-$, $\mu^+\mu^-$, and $e^\pm\mu^\mp$) in proton-proton ($pp$) collisions
at $\sqrt{s}$ = 13 TeV at the CERN LHC. The data were recorded in 2015 with the
CMS detector and correspond to an integrated luminosity of 2.2 fb$^{-1}$. The
$t\bar{t}$ production cross section is measured as a function of kinematic
properties of the top quarks and the $t\bar{t}$ system in the full phase space,
as well as of the jet multiplicity in the event in the fiducial phase space.
Several perturbative quantum chromodynamics (QCD) calculations are confronted
with the data and are found to be broadly in agreement with the measured
results.


title: The gas disk: Evolution and chemistry

abstract:
  Protoplanetary disks are the birthplaces of planetary systems. The evolution
of the star-disk system and the disk chemical composition determines the
initial conditions for planet formation. Therefore a comprehensive
understanding of the main physical and chemical processes in disks is crucial
for our understanding of planet formation. We give an overview of the early
evolution of disks, discuss the importance of the stellar high-energy radiation
for disk evolution and describe the general thermal and chemical structure of
disks. Finally we provide an overview of observational tracers of the gas
component and disk winds.


title:
30-Hz relative linewidth watt output power 1.65-$\mu$m continuous-wave
  singly resonant optical parametric oscillator

abstract:
  We built a 1-watt cw singly resonant optical parametric oscillator operating
at an idler wavelength of 1.65~$\mu$m for application to quantum interfaces.
The non resonant idler is frequency stabilized by side-fringe locking on a
relatively high-finesse Fabry-Perot cavity, and the influence of intensity
noise is carefully analyzed. A relative linewidth down to the sub-kHz level
(about 30 Hz over 2 s) is achieved. A very good long term stability is obtained
for both frequency and intensity.


title: Circular orbits, Lyapunov stability and Manev-type forces

abstract:
  In this article we study the stability in the sense of Lyapunov of the
circular orbits in the generalized Manev two bodies problem. First, we explore
the existence of the circular orbits and determine their radius. Then, using
the first integrals of motion we build a positive definite function, known as a
Lyapunov function. It's existence proves that the circular orbit is stable in
the sense of Lyapunov. In the end, we consider several real systems of two
bodies and compare the characteristics of the circular orbits in Newtonian and
modified Manev gravitational field, arguing about our possibilities to observe
the differences between the motion in these two fields.


title: Performance of the ATLAS Trigger System in 2015

abstract:
  During 2015 the ATLAS experiment recorded 3.8 fb$^{-1}$ of proton--proton
collision data at a centre-of-mass energy of 13 TeV. The ATLAS trigger system
is a crucial component of the experiment, responsible for selecting events of
interest at a recording rate of approximately 1 kHz from up to 40 MHz of
collisions. This paper presents a short overview of the changes to the trigger
and data acquisition systems during the first long shutdown of the LHC and
shows the performance of the trigger system and its components based on the
2015 proton--proton collision data.


title:
Dark matter annihilation and jet quenching phenomena in the early
  universe

abstract:
  Dark-matter particles like neutralinos should decouple from the hot cosmic
plasma at temperatures of about 40 GeV. Later they can annihilate each other
into standard-model particles, which are injected into the dense primordial
plasma and quickly loose energy. This process is similar to jet quenching in
ultrarelativistic heavy-ion collisions, actively studied in RHIC and LHC
experiments. Using empirical information from heavy-ion experiments I show that
the cosmological (anti)quark and gluon jets are damped very quickly until the
plasma remains in the deconfined phase. The charged hadron and lepton jets are
strongly damped until the recombination of electrons and protons. The
consequences of energy transfer by the annihilation products to the cosmic
matter are discussed.


title:
Maximum Weight Stable Set in ($P_7$, bull)-free graphs and ($S_{1,2,3}$,
  bull)-free graphs

abstract:
  We give a polynomial time algorithm that finds the maximum weight stable set
in a graph that does not contain an induced path on seven vertices or a bull
(the graph with vertices $a$, $b$, $c$, $d$, $e$ and edges $ab$, $bc$, $cd$,
$be$, $ce$). With the same arguments with also give a polynomial algorithm for
any graph that does not contain $S_{1,2,3}$ or a bull.


title: Optimizing run-length algorithm using octonary repetition tree

abstract:
  Compression is beneficial because it helps detract resource usage. It reduces
data storage space as well as transmission traffic and improves web pages
loading. Run-length coding (RLC) is a lossless data compression algorithm. Data
are stored as a data value and counts. This is useful on data that contains
many consecutive runs. This paper proposes a compression algorithm using
octonary repetition tree (ORT), based on RLC. ORT is used to overcome the
duplication problem in primary RLC algorithms, instead of using flag or
codeword. It's the first method of run-length encoding which has the
compression ratio greater than one in all tested cases. Experimental results,
show average improvement of roughly 3 times, 3 times and 2 times in compression
ratio field of study comparing to PRLC1, PRLC2, DF-RLC respectively. By using
this approach of run-length encoding we can compress wider types of data, such
as multimedia, document, executive files, etc.


title:
A tale of dark matter capture, sub-dominant WIMPs, and neutrino
  observatories

abstract:
  Weakly Interacting Massive Particles (WIMPs), which are among the best
motivated dark matter (DM) candidates, could make up all or only a fraction of
the total DM budget. We consider a scenario in which WIMPs are a sub-dominant
DM component; such a scenario would affect both current direct and indirect
bounds on the WIMP-nucleon scattering cross section. In this paper we focus on
indirect searches for the neutrino flux produced by annihilation of
sub-dominant WIMPs captured by the Sun or the Earth via either spin-dependent
or spin-independent scattering. We derive the annihilation rate and the
expected neutrino flux at neutrino observatories. In our computation, we
include an updated chemical composition of the Earth with respect to the
previous literature, leading to an increase of the Earth's capture rate for
spin-dependent scattering by a factor three. Results are compared with current
bounds from Super-Kamiokande and IceCube. We discuss the scaling of bounds from
both direct and indirect detection methods with the WIMP abundance.


title:
Generic and Efficient Solution Solves the Shortest Paths Problem in
  Square Runtime

abstract:
  We study a group of new methods to solve an open problem that is the shortest
paths problem on a given fix-weighted instance. It is the real significance at
a considerable altitude to reach our aim to meet these qualities of generic,
efficiency, precision which we generally require to a methodology. Besides our
proof to guarantee our measures might work normally, we pay more interest to
root out the vital theory about calculation and logic in favor of our extension
to range over a wide field about decision, operator, economy, management,
robot, AI and etc.


title: $B_{(s)}\to D_{(s)}$ semileptonic decays with NRQCD-HISQ valence quarks

abstract:
  We present a calculation of the form factors, $f_0$ and $f_+$, for the
$B_{(s)} \to D_{(s)}$ semileptonic decays. Our work uses the MILC $n_f=2+1$
AsqTad configurations with NRQCD and HISQ valence quarks at four values of the
momentum transfer $q^2$. We provide results for the chiral-continuum
extrapolations of the scalar and vector form factors.


title: Braces and Poisson additivity

abstract:
  We relate the brace construction introduced by Calaque and Willwacher to an
additivity functor. That is, we construct a functor from brace algebras
associated to an operad $O$ to associative algebras in the category of homotopy
$O$-algebras. As an example, we identify the category of $P_{n+1}$-algebras
with the category of associative algebras in $P_n$-algebras. We also show that
under this identification there is an equivalence of two definitions of derived
coisotropic structures in the literature.


title:
Asymptotically optimal feedback control for a system of linear
  oscillators

abstract:
  Problem of damping of an arbitrary number of linear oscillators under common
bounded control is considered. We are looking for a feedback control steering
the system to the equilibrium. The obtained control is asymptotically optimal:
the ratio of motion time to zero with this control to the minimum one is close
to 1, if the initial energy of the system is large. Some of the results based
on the new lemma about sustainable observability autonomous linear systems.


title:
Detecting topological invariants in chiral symmetric insulators via
  losses

abstract:
  We show that the bulk winding number characterizing one-dimensional
topological insulators with chiral symmetry can be detected from the
displacement of a single particle, observed via losses. Losses represent the
effect of repeated weak measurements on one sublattice only, which interrupt
the dynamics periodically. When these do not detect the particle, they realize
negative measurements. Our repeated measurement scheme covers both
time-independent and periodically driven (Floquet) topological insulators, with
or without spatial disorder. In the limit of rapidly repeated, vanishingly weak
measurements, our scheme describes non-Hermitian Hamiltonians, as the lossy
Su-Schrieffer-Heeger model of Phys. Rev. Lett. 102, 065703 (2009). We find,
contrary to intuition, that the time needed to detect the winding number can be
made shorter by decreasing the efficiency of the measurement. We illustrate our
results on a discrete-time quantum walk, and propose ways of testing them
experimentally.


title:
Sub 100nW volatile nano-metal-oxide memristor as synaptic-like encoder
  of neuronal spikes

abstract:
  Advanced neural interfaces mediate a bio-electronic link between the nervous
system and microelectronic devices, bearing great potential as innovative
therapy for various diseases. Spikes from a large number of neurons are
recorded leading to creation of big data that require on-line processing under
most stringent conditions, such as minimal power dissipation and on-chip space
occupancy. Here, we present a new concept where the inherent volatile
properties of a nano-scale memristive device are used to detect and compress
information on neural spikes as recorded by a multi-electrode array.
Simultaneously, and similarly to a biological synapse, information on spike
amplitude and frequency is transduced in metastable resistive state transitions
of the device, which is inherently capable of self-resetting and of continuous
encoding of spiking activity. Furthermore, operating the memristor in a very
high resistive state range reduces its average in-operando power dissipation to
less than 100 nW, demonstrating the potential to build highly scalable, yet
energy-efficient on-node processors for advanced neural interfaces.


title: Coupled Mode Theory for Semiconductor Nanowires

abstract:
  We present a model to describe the spatiotemporal evolution of guided modes
in semiconductor nanowires based on a coupled mode formalism. Light-matter
interaction is modelled based on semiconductor Bloch equations, including
many-particle effects in the screened Hartree-Fock approximation. Appropriate
boundary conditions are used to incorporate reflections at waveguide endfacets,
thus allowing for the simulation of nanowire lasing. We compute the emission
characteristics and temporal dynamics of CdS and ZnO nanowire lasers and
compare our results both to Finite-Difference Time-Domain simulations and to
experimental data. Finally, we explore the dependence of the lasing emission on
the nanowire cavity and on the materials relaxation time.


title:
Loophole in $K \to \pi \nu \bar\nu$ Search \ \& $K_L \to \pi^0 \nu
  \bar\nu$ Beyond Grossman--Nir Bound

abstract:
  The Grossman-Nir bound concept is robust, but the common perception of $K_L
\to \pi^0\nu\bar\nu < 1.4 \times 10^{-9}$ may be circumvented. Because of the
blinding $K\pi2$(3) decay, $K^+$ decay experiments such as E787/E949 and the
currently running NA62 kinematically exclude the "blinding zone". This offers
an opportunity for the currently running KOTO experiment. With no kinematic
control, if the KOTO experiment is able to veto all true background, it may
discover $K_L \to \pi^0 + X^0$, where $X^0$ is an invisible "dark" boson with
mass $m_{X^0} \sim m_{\pi^0}$. This could happen with 2015 data at hand, which
supposedly should allow KOTO to reach nominal GN bound sensitivity. An explicit
model of gauged $L_\mu - L_\tau$, linked with muon $g-2$ hence with very light
$Z'$, is given. Adding vector-like quarks that mix with usual quarks, $W$-boson
loops induce $s\to dZ'$ and $b\to sZ'$ transitions. Besides realizing the
scenario, the model provides further illustration of potential impact. Given
that usual dark bosons linked with the photon are tightly constrained, KOTO has
a unique opportunity to probe the muon-related dark sector.


title:
On global well-posedness for nonlinear semirelativistic equations in
  some scaling subcritical and critical cases

abstract:
  In this paper, the global well-posedness of semirelativistic equations with a
power type nonlinearity on Euclidean spaces is studied. In two dimensional
$H^s$ scaling subcritical case with $1 \leq s \leq 2$, the local well-posedness
follows from a Strichartz estimate. In higher dimensional $H^1$ scaling
subcritical case, the local well-posedness for radial solutions follows from a
weighted Strichartz estimate. Moreover, in three dimensional $H^1$ scaling
critical case, the local well-posedness for radial solutions follows from a
uniform bound of solutions which may be derived by the corresponding one
dimensional problem. Local solutions may be extended by a priori estimates.


title: Evading Direct Dark Matter Detection in Higgs Portal Models

abstract:
  Many models of Higgs portal Dark Matter (DM) find themselves under pressure
from increasingly tight direct detection constraints. In the framework of gauge
field DM, we study how such bounds can be relaxed while retaining the thermal
WIMP paradigm. When the hidden sector gauge symmetry is broken via the Higgs
mechanism, the hidden sector generally contains unstable states which are
lighter than dark matter. These states provide DM with an efficient
annihilation channel. As a result, the DM relic abundance and the direct
detection limits are controlled by different parameters, and the two can easily
be reconciled. This simple setup realizes the idea of `secluded' dark matter
naturally.


title: On the one-loop effective potential in nonlocal supersymmetric theories

abstract:
  Within the superfield approach, we consider the nonlocal generalization of
the Wess-Zumino model and calculate the one-loop low-energy contributions to
the effective action. Four different nonlocal models are considered, among
which only the first model does not reduce to the standard Wess-Zumino model
when we take the parameter of nonlocality of the model, $\Lambda$, much greater
than any energy scale; in addition, this model also depends on an extra
parameter, $\xi$. As to the other three models, the result looks like the
renormalized effective potential for the usual Wess-Zumino model, where the
normalization scale $\mu$ is replaced by the $\Lambda$. Moreover, the fourth
model displays a divergence which can be eliminated through the appropriate
wave function renormalization.


title: Cluster size dependence of high-order harmonic generation

abstract:
  We investigate high-order harmonic generation (HHG) from noble gas clusters
in a supersonic gas jet. To identify the contribution of harmonic generation
from clusters versus that from gas monomers, we measure the high-order harmonic
output over a broad range of the total atomic number density in the jet (from
3*10^16 cm^{-3} to 3x10^18 cm{-3}) at two different reservoir temperatures (303
K and 363 K). For the firrst time in the evaluation of the harmonic yield in
such measurements, the variation of the liquid mass fraction, g, versus
pressure and temperature is taken into consideration, which we determine,
reliably and consistently, to be below 20% within our range of experimental
parameters. By comparing the measured harmonic yield from a thin jet with the
calculated corresponding yield from monomers alone, we find an increased
emission of the harmonics when the average cluster size is less than 3000.
Using g, under the assumption that the emission from monomers and clusters add
up coherently, we calculate the ratio of the average single-atom response of an
atom within a cluster to that of a monomer and find an enhancement of around 10
for very small average cluster size (~200). We do not find any dependence of
the cut-off frequency on the composition of the cluster jet. This implies that
HHG in clusters is based on electrons that return to their parent ions and not
to neighbouring ions in the cluster. To fully employ the enhanced average
single-atom response found for small average cluster sizes (~200), the nozzle
producing the cluster jet must provide a large liquid mass fraction at these
small cluster sizes for increasing the harmonic yield. Moreover, cluster jets
may allow for quasi-phase matching, as the higher mass of clusters allows for a
higher density contrast in spatially structuring the nonlinear medium.


title:
Modulational instability of quantum electron-acoustic waves and
  associated envelope solitons in a degenerate quantum plasma

abstract:
  The basic features of linear and nonlinear quantum electron-acoustic (QEA)
waves in a degenerate quantum plasma (containing non-relativistically
degenerate electrons, superthermal or $\kappa$-distributed electrons, and
stationary ions) are theoretically investigated. The nonlinear Sch\"{o}dinger
(NLS) equation is derived by employing thereductive perturbation method. The
stationary solitonic solution of the NLS equation are obtained, and examined
analytically as well as numerically to identify the basic features of the QEA
envelope solitons. It has been found that the effects of the degeneracy and
exchange/Bohm potentials of cold electrons, and superthermality of hot
electrons significantly modify the basic properties of linear and nonlinear QEA
waves. It is observed that the QEA waves are modulationally unstable for
$k<k_c$, where $k_c$ is the maximum (critical) value of the QEA wave number $k$
below which the QEA waves are modulationally unstable), and that for $k<k_c$
the solution of the NLS equation gives rise to the bright envelope solitons,
which are found to be localized in both spatial ($\xi$) and time ($\tau$) axes.
It is also observed that as the spectral index $\kappa$ is increased, the
critical value of the wave number (amplitude of the QEA envelope bright
solitons) decreases (increases). The implications of our results should be
useful in understanding the localized electrostatic perturbation in solid
density plasma produced by irradiating metals by intense laser, semiconductor
devices, microelectronics, etc.


title: Large values of Hecke-Maass L-functions with prescribed argument

abstract:
  We investigate the existence of large values of L-functions attached to Maass
forms on the critical line with prescribed argument. The results obtained rely
on the resonance method developed by Soundararajan and furthered by Hough.


title:
Topological invariants and corner states for Hamiltonians on a
  three-dimensional lattice

abstract:
  Periodic Hamiltonians on a three-dimensional (3-D) lattice with a spectral
gap not only on the bulk but also on two edges at the common Fermi level are
considered. By using K-theory applied for the quarter-plane Toeplitz extension,
two topological invariants are defined. One is defined for the gapped bulk and
edge Hamiltonians, and the non-triviality of the other means that the corner
Hamiltonian is gapless. A correspondence between these two invariants is
proved. Such gapped Hamiltonians can be constructed from Hamiltonians of 2-D
type A and 1-D type AIII topological insulators, and its corner topological
invariant is the product of topological invariants of these two phases.


title:
An Integral Digit Derivative Basis for Carlitz Prime Power Torsion
  Extensions

abstract:
  Let $\mathfrak{p}$ be a monic irreducible polynomial in
$A:=\mathbb{F}_q[\theta]$, the ring of polynomials in the indeterminate
$\theta$ over the finite field $\mathbb{F}_q$, and let $\zeta$ be a root of
$\mathfrak{p}$ in an algebraic closure of $\mathbb{F}_q(\theta)$. For each
positive integer $n$, let $\lambda_n$ be a generator of the $A$-module of
Carlitz $\mathfrak{p}^n$-torsion. We give a basis for the ring of integers
$A[\zeta,\lambda_n] \subset K(\zeta, \lambda_n)$ over $A[\zeta] \subset
K(\zeta)$ which consists of monomials in the hyperderivatives of the
Anderson-Thakur function $\omega$ evaluated at the roots of $\mathfrak{p}$. We
also give an explicit field normal basis for these extensions. This builds on
(and in some places, simplifies) the work of Angl\`es-Pellarin.


title:
Probing the Intergalactic Medium with Ly$\mathrm{\alpha}$ and 21 cm
  Fluctuations

abstract:
  We study 21cm and Ly$\mathrm{\alpha}$ fluctuations, as well as
H$\mathrm{\alpha}$, while distinguishing between Ly$\mathrm{\alpha}$ emission
of galactic, diffuse, and scattered intergalactic medium (IGM) origin.
Cross-correlation information about the state of the IGM is obtained, testing
neutral versus ionized medium cases with different tracers in a seminumerical
simulation setup. In order to pave the way toward constraints on reionization
history and modeling beyond power spectrum information, we explore parameter
dependencies of the cross-power signal between 21$\,$cm and
Ly$\mathrm{\alpha}$, which displays a characteristic morphology and a turnover
from negative to positive correlation at scales of a couple Mpc$^{-1}$. In a
proof of concept for the extraction of further information on the state of the
IGM using different tracers, we demonstrate the use of the 21$\,$cm and
H$\mathrm{\alpha}$ cross-correlation signal to determine the relative strength
of galactic and IGM emission in Ly$\mathrm{\alpha}$. We conclude by showing the
detectability of the 21$\,$cm and Ly$\mathrm{\alpha}$ cross-correlation signal
over more than one decade in scale at high signal-to-noise ratio for upcoming
probes like SKA and the proposed all-sky intensity mapping satellites SPHEREx
and CDIM, while also including the Ly$\mathrm{\alpha}$ damping tail and 21cm
foreground avoidance in the modeling.


title: Harmonic sums and polylogarithms at non-positive multi-indices

abstract:
  Extending Eulerian polynomials and Faulhaber's formula 1, we study several
combi-natorial aspects of harmonic sums and polylogarithms at non-positive
multi-indices as well as their structure. Our techniques are based on the
combinatorics of non-commutative generating series in the shuffle Hopf algebras
giving a global process to renormalize the divergent polyzetas at non-positive
multi-indices.


title:
The ultraluminous X-ray source HoII X-1: kinematic evidence of its
  escape from the cluster

abstract:
  We analyse the structure and kinematics of ionized gas in the vicinity of the
ultraluminous X-ray source (ULX) HoII X-1 in the Holmberg II galaxy using
observational data obtained with a scanning Fabry-Perot interferometer in the
H$\alpha$, [SII] and [OIII] emission lines at the Russian 6-m telescope.
Decomposition of the line profiles allows us to identify the broad component of
emission lines caused by the ULX action. We found evidence of an expanding
superbubble around the young star cluster located in the studied region. We
conclude that the blue-shifted 'arc' around the ULX observed in the
line-of-sight velocity field may correspond to a bow shock caused by the ULX
movement from that nearby young star cluster. If this interpretation is
correct, it will be the first kinematic evidence of ULX's escape from their
parent star clusters.


title:
Comparing kinetic Monte Carlo and Thin-Film Modeling of Transversal
  Instabilities of Ridges on Patterned Substrates

abstract:
  We employ kinetic Monte Carlo (KMC) simulations and a thin-film continuum
model to comparatively study the transverse (i.e., Plateau-Rayleigh)
instability of ridges formed by molecules on pre-patterned substrates. It is
demonstrated that the evolution of the occurring instability qualitatively
agrees between the two models for a single ridge as well as for two weakly
interacting ridges. In particular, it is shown for both models that the
instability occurs on well defined length and time scales which are, for the
KMC model, significantly larger than the intrinsic scales of thermodynamic
fluctuations. This is further evidenced by the similarity of dispersion
relations characterising the linear instability modes.


title: The Optimal Pebbling Number of Staircase Graphs

abstract:
  Let G be a graph with a distribution of pebbles on its vertices. A pebbling
move consists of removing two pebbles from one vertex and placing one pebble on
an adjacent vertex. The optimal pebbling number of G is the smallest number of
pebbles which can placed on the vertices of G such that, for any vertex v of G,
there is a sequence of pebbling moves resulting in at least one pebble on v. We
determine the optimal pebbling number for several classes of induced subgraphs
of the square grid, which we call staircase graphs.


title: Collective Motion of Predictive Swarms

abstract:
  Theoretical models of populations and swarms typically start with the
assumption that the motion of agents is governed by the local stimuli. However,
an intelligent agent, with some understanding of the laws that govern its
habitat, can anticipate the future, and make predictions to gather resources
more efficiently. Here we study a specific model of this kind, where agents aim
to maximize their consumption of a diffusing resource, by attempting to predict
the future of a resource field and the actions of other agents. Once the agents
make a prediction, they are attracted to move towards regions that have, and
will have, denser resources. We find that the further the agents attempt to see
into the future, the more their attempts at prediction fail, and the less
resources they consume. We also study the case where predictive agents compete
against non-predictive agents and find the predictors perform better than the
non-predictors only when their relative numbers are very small. We conclude
that predictivity pays off either when the predictors do not see too far into
the future or the number of predictors is small.


title:
Fermi arcs formation in Weyl semimetals: the key role of intervalley
  interaction

abstract:
  We propose an analytical model describing Fermi arc surface states observed
in the recent investigations of Weyl semimetals. The effective two-valley
Hamiltonian is supplemented by the boundary conditions taking into account both
the intravalley and intervalley interfacial interaction. We demonstrate that
the latter is crucial for the formation of the surface states having the form
consistent with the experimental data. Depending on the magnitude and interplay
between the intravalley and intervalley interactions, the Fermi arc connects
two nearby or distant valleys. Moreover, the emergence of additional Fermi
contours (closed curves not intersecting the Weil points) can be understood in
the simplest four-valley approximation. These results open the opportunities
for search of new effects in Weyl semimetals under the external fields.


title: Static and non-static vector screening masses

abstract:
  Thermal screening masses of the conserved vector current are calculated both
in a weak-coupling approach and in lattice QCD. The inverse of a screening mass
can be understood as the length scale over which an external electric field is
screened in a QCD medium. The comparison of screening masses both in the zero
and non-zero Matsubara frequency sectors shows good agreement of the
perturbative and the lattice results. Moreover, at $T\approx 508\mathrm{MeV}$
the lightest screening mass lies above the free result ($2\pi T$), in agreement
with the $\mathcal{O}(g^2)$ weak-coupling prediction.


title: Positron Channeling

abstract:
  The possibility of channeling the low-energy relativistic positrons around
separate crystallographic axes with coaxial symmetry of negative ions in some
types of crystals is shown. The process of annihilation of positrons with
electrons of medium was studied in detail.


title: Data Partitioning View of Mining Big Data

abstract:
  There are two main approximations of mining big data in memory. One is to
partition a big dataset to several subsets, so as to mine each subset in
memory. By this way, global patterns can be obtained by synthesizing all local
patterns discovered from these subsets. Another is the statistical sampling
method. This indicates that data partitioning should be an important strategy
for mining big data. This paper recalls our work on mining big data with a data
partitioning and shows some interesting findings among the local patterns
discovered from subsets of a dataset.


title:
A Guide to Localized Frames and Applications to Galerkin-like
  Representations of Operators

abstract:
  This chapter offers a detailed survey on intrinsically localized frames and
the corresponding matrix representation of operators. We re-investigate the
properties of localized frames and the associated Banach spaces in full detail.
We investigate the representation of operators using localized frames in a
Galerkin-type scheme. We show how the boundedness and the invertibility of
matrices and operators are linked and give some sufficient and necessary
conditions for the boundedness of operators between the associated Banach
spaces.


title:
Observation of wavelength-dependent Brewster angle shift in 3D photonic
  crystals

abstract:
  The interaction of polarized light with photonic crystals exhibit unique
features due to its sub-wavelength nature on the surface and the periodic
variation of refractive index in the depth of the crystals. Here, we present a
detailed study of polarization anisotropy in light scattering associated with
three-dimensional photonic crystals with face centered cubic symmetry over a
broad wavelength and angular range. The polarization anisotropy leads to a
shift in the conventional Brewster angle defined for a planar interface with
certain refractive index. The observed shift in Brewster angle strongly depends
on the index contrast and lattice constant. Polarization-dependent stop gap
measurements are performed on photonic crystals with different index contrast
and lattice constants. These measurements indicate unique stop gap branching at
high-symmetry points in the Brillouin zone of the photonic crystals. The
inherited stop gap branching is observed for TE polarization whereas that is
suppressed for TM polarization as a consequence of Brewster effect. Our results
have consequences in the polarized light-scattering from plasmonic structures
and dielectric meta-surfaces and are also useful in applications like
nano-scale polarization splitters and lasers.


title:
Tricritical Casimir forces and order parameter profiles in wetting films
  of $^3\text{He}$ -$^4\text{He}$ mixtures

abstract:
  Tricritical Casimir forces in $^3\text{He}$ -$^4\text{He}$ wetting films are
studied, within mean field theory, in therms of a suitable lattice gas model
for binary liquid mixtures with short--ranged surface fields. The proposed
model takes into account the continuous rotational symmetry O(2) of the
superfluid degrees of freedom associated with $^4\text{He}$ and it allows,
inter alia, for the occurrence of a vapor phase. As a result, the model
facilitates the formation of wetting films, which provides a strengthened
theoretical framework to describe available experimental data for tricritical
Casimir forces acting in $^3\text{He}$ -$^4\text{He}$ wetting films.


title:
Investigation of thermalization in giant-spin models by different
  Lindblad schemes

abstract:
  The theoretical understanding of time-dependence in magnetic quantum systems
is of great importance in particular for cases where a unitary time evolution
is accompanied by relaxation processes. A key example is given by the dynamics
of single-molecule magnets where quantum tunneling of the magnetization
competes with thermal relaxation over the anisotropy barrier. In this article
we investigate how good a Lindblad approach describes the relaxation in giant
spin models and how the result depends on the employed operator that transmits
the action of the thermal bath.


title:
$\Lambda_c \to \Lambda \ell^+ \nu_\ell$ form factors and decay rates
  from lattice QCD with physical quark masses

abstract:
  The first lattice QCD calculation of the form factors governing $\Lambda_c
\to \Lambda \ell^+ \nu_\ell$ decays is reported. The calculation was performed
with two different lattice spacings and includes one ensemble with a pion mass
of 139(2) MeV. The resulting predictions for the $\Lambda_c \to \Lambda e^+
\nu_e$ and $\Lambda_c \to \Lambda \mu^+ \nu_\mu$ decay rates divided by
$|V_{cs}|^2$ are $0.2007(71)(74)\:{\rm ps}^{-1}$ and $0.1945(69)(72)\:{\rm
ps}^{-1}$, respectively, where the two uncertainties are statistical and
systematic. Taking the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ from
a global fit and the $\Lambda_c$ lifetime from experiments, this translates to
branching fractions of $\mathcal{B}(\Lambda_c\to\Lambda
e^+\nu_e)=0.0380(19)_{\rm LQCD\:\:}(11)_{\tau_{\Lambda_c}}$ and
$\mathcal{B}(\Lambda_c\to\Lambda \mu^+\nu_\mu)=0.0369(19)_{\rm
LQCD\:\:}(11)_{\tau_{\Lambda_c}}$. These results are consistent with, and two
times more precise than, the measurements performed recently by the BESIII
Collaboration. Using instead the measured branching fractions together with the
lattice calculation to determine the CKM matrix element gives $|V_{cs}|=
0.949(24)_{\rm LQCD\:\:}(14)_{\tau_{\Lambda_c}}(49)_{\mathcal{B}}$.


title: Finite-Value Superiorization for Variational Inequality Problems

abstract:
  The main goal of this paper is to present the application of a
superiorization methodology to solution of variational inequalities. Within
this framework a variational inequality operator is considered as a small
perturbation of a convex feasibility solver what allows to construct a simple
iteration algorithm. The specific features of variational inequality problems
allow to use a finite-value perturbation which may be advantageous from
computational point of view. The price for simplicity and finite-value is that
the algorithm provides an approximate solution of variational inequality
problem with a prescribed coordinate accuracy.


title: Daugavet property and separability in Banach spaces

abstract:
  We give a characterisation of the separable Banach spaces with the Daugavet
property which is applied to study the Daugavet property in the projective
tensor product of an $L$-embedded space with another non-zero Banach space. The
former characterisation also motivates the introduction of two indices related
to the Daugavet property and a short study of them.


title: Some Mathematical and Physical Remarks on Surreal Numbers

abstract:
  We make a number of observations on Conway surreal number theory which may be
useful, for further developments, in both in mathematics and theoretical
physics. In particular, we argue that the concepts of surreal numbers and
matroids can be linked. Moreover, we established a relation between the Gonshor
approach on surreal numbers and tensors. We also comment about the possibility
to connect surreal numbers with supesymmetry. In addition, we comment about
possible relation between surreal numbers and fractal theory. Finally, we argue
that the surreal structure may provide a different mathematical tools in the
understanding of singularities in both high energy physics and gravitation.


title:
Stability analysis of a hypothalamic-pituitary-adrenal axis model with
  inclusion of glucocorticoid receptor and memory

abstract:
  This paper analyzes a four-dimensional model of the
hypothalamic-pituitary-adrenal (HPA) axis that includes the influence of the
glucocorticoid receptor in the pituitary. Due to the spatial separation between
the hypothalamus, pituitary and adrenal glands, distributed time delays are
introduced in the mathematical model. The existence of the positive equilibrium
point is proved and a local stability and bifurcation analysis is provided,
considering several types of delay kernels. The fractional-order model with
discrete time delays is also taken into account. Numerical simulations are
provided to illustrate the effectiveness of the theoretical findings.


title:
Computationally Efficient Unscented Kalman Filtering Techniques for
  Launch Vehicle Navigation using a Space-borne GPS Receiver

abstract:
  The Extended Kalman Filter (EKF) is a well established technique for position
and velocity estimation. However, the performance of the EKF degrades
considerably in highly non-linear system applications as it requires local
linearisation in its prediction stage. The Unscented Kalman Filter (UKF) was
developed to address the non-linearity in the system by deterministic sampling.
The UKF provides better estimation accuracy than the EKF for highly non-linear
systems. However, the UKF requires multiple propagations of sampled state
vectors in the measurement interval, which results in higher processing time
than for the EKF. This paper proposes an application of two newly developed UKF
variants in launch vehicle navigation. These two algorithms called the Single
Propagation Unscented Kalman Filter (SPUKF) and the Extrapolated Single
Propagation Unscented Kalman Filter (ESPUKF), reduce the processing time of the
original UKF significantly and provide estimation accuracies comparable to the
UKF. The estimation performance of the SPUKF and the ESPUKF is demonstrated
using Falcon 9 V1.1 launch vehicle in CRS-5 mission scenario. The launch
vehicle trajectory for the mission is generated using publicly available
mission parameters. A SPIRENT GNSS simulator is used to generate the received
GPS signal on the trajectory. Pseudo-range observations are used in the EKF,
UKF, SPUKF and the ESPUKF separately and the estimation accuracies are
compared. The results show that the estimation errors of the SPUKF and the
ESPUKF are 15.44% and 10.52% higher than the UKF respectively. The processing
time reduces by 83% for the SPUKF and 69.14% for the ESPUKF compared to the
UKF.


title:
Position and Velocity estimation of Re-entry Vehicles using Fast
  Unscented Kalman Filters

abstract:
  Application of two new UKF based estimation techniques with reduced
processing time in re-entry vehicle position and velocity estimation problem
using ground-based range and elevation measurements is presented. The first
method is called the Single Propagation Unscented Kalman Filter (SPUKF) where,
the a postiriori state is propagated only once and then the sampled sigma
points at the next time state are approximated by the first-order Taylor Series
terms. In the second method called the Extrapolated Single Propagation
Unscented Kalman Filter (ESPUKF), the sigma points are approximated to the
second-order Taylor Series terms using the Richardson Extrapolation. The EKF,
SPUKF, ESPUKF and the UKF are utilized in a re-entry vehicle navigation
scenario using range and elevation measurements. The estimation accuracies and
the processing times for different algorithms are compared for the scenario.
The result demonstrates that the UKF provides better accuracy than the EKF but
requires more processing time. The SPUKF accuracy is better than the EKF and
the processing time is significantly less than the UKF. However, the accuracy
of the SPUKF is less than the UKF. The ESPUKF provides estimation accuracy
comparable to the UKF and the processing time is also significantly reduced.


title:
Semantic Parsing of Mathematics by Context-based Learning from Aligned
  Corpora and Theorem Proving

abstract:
  We study methods for automated parsing of informal mathematical expressions
into formal ones, a main prerequisite for deep computer understanding of
informal mathematical texts. We propose a context-based parsing approach that
combines efficient statistical learning of deep parse trees with their semantic
pruning by type checking and large-theory automated theorem proving. We show
that the methods very significantly improve on previous results in parsing
theorems from the Flyspeck corpus.


title: A Real-time Single Pulse Detection Algorithm for GPUs

abstract:
  The detection of non-repeating events in the radio spectrum has become an
important area of study in radio astronomy over the last decade due to the
discovery of fast radio bursts (FRBs). We have implemented a single pulse
detection algorithm, for NVIDIA GPUs, which use boxcar filters of varying
widths. Our code performs the calculation of standard deviation, matched
filtering by using boxcar filters and thresholding based on the signal-to-noise
ratio. We present our parallel implementation of our single pulse detection
algorithm. Our GPU algorithm is approximately 17x faster than our current CPU
OpenMP code (NVIDIA Titan XP vs Intel E5-2650v3). This code is part of the
AstroAccelerate project which is a many-core accelerated time-domain signal
processing code for radio astronomy. This work allows our AstroAccelerate code
to perform a single pulse search on SKA-like data 4.3x faster than real-time.


title:
All-fiber hydrogen sensor based on stimulated Raman gain spectroscopy
  with a 1550 nm hollow-core fiber

abstract:
  We report a highly sensitive all-fiber hydrogen sensor based on
continuous-wave stimulated Raman gain spectroscopy with a hollow-core photonic
crystal fiber operating around 1550 nm. A pump-probe configuration is used, in
which the frequency difference between the pump and the probe lasers is tuned
to the S0(0) transition of para-hydrogen with a Raman shift of 354 cm-1.
Preliminary experiments demonstrate a detection limit down to 17 ppm with a 250
s averaging time, and further improvement is possible. The all-fiber
configuration operating in the telecommunication wavelength band would enable
cost-effective and compact sensors for high sensitivity and high-resolution
trace analysis.


title: Probabilistic map-matching using particle filters

abstract:
  Increasing availability of vehicle GPS data has created potentially
transformative opportunities for traffic management, route planning and other
location-based services. Critical to the utility of the data is their accuracy.
Map-matching is the process of improving the accuracy by aligning GPS data with
the road network. In this paper, we propose a purely probabilistic approach to
map-matching based on a sequential Monte Carlo algorithm known as particle
filters. The approach performs map-matching by producing a range of candidate
solutions, each with an associated probability score. We outline implementation
details and thoroughly validate the technique on GPS data of varied quality.


title: An unconstrained framework for eigenvalue problems

abstract:
  In this paper, we propose an unconstrained framework for eigenvalue problems
in both discrete and continuous settings. We begin our discussion to solve a
generalized eigenvalue problem $A{\bf x} = \lambda B{\bf x}$ with two $N\times
N$ real symmetric matrices $A, B$ via minimizing a proposed functional whose
nonzero critical points ${\bf x}\in\mathbb{R}^N$ solve the eigenvalue problem
and whose local minimizers are indeed global minimizers. Inspired by the
properties of the proposed functional to be minimized, we provide analysis on
convergence of various algorithms either to find critical points or local
minimizers. Using the same framework, we will also present an eigenvalue
problem for differential operators in the continuous setting. It will be
interesting to see that this unconstrained framework is designed to find the
smallest eigenvalue through matrix addition and multiplication and that a
solution ${\bf x}\in\mathbb{R}^N$ and the matrix $B$ can compute the
corresponding eigenvalue $\lambda$ without using $A$ in the case of $A{\bf
x}=\lambda B{\bf x}$. At the end, we will present a few numerical experiments
which will confirm our analysis.


title: Precise and Fast Phase Wraps Reduction in Fringe Projection Profilometry

abstract:
  The number of phase wraps in 2D wrapped phase map can be completely
eliminated, or greatly reduced by frequency shifting. But the wraps usually
cannot be optimally reduced using the conventional fast Fourier transform (FFT)
because the spectrum can be shifted only by an integer number in the frequency
domain. In order to completely eliminate the phase wraps or achieve a
significant phase wrap reduction, in this paper, we propose a fast and precise
two-step method for phase wraps reduction, which uses the iterative local
discrete Fourier transform (DFT) to determine the sub-pixel spectral peak
location and the frequency shifting algorithm that operates in spatial domain
to reduce the number of phase wraps. Firstly, an initial estimate of the
frequency peak is obtain by FFT, then the sub-pixel spectral peak with high
resolution is determined by iteratively upsampling the local DFT around the
initial spectral peak location, further the non-integer frequency shifting in
spatial domain is realized to eliminate or reduce the number of phase wraps.
Finally, simulations and experiments are conducted to prove the validity of the
proposed method. The results demonstrate the proposed method's superb computing
efficiency, high resolution and overall performance.


title:
Electron energy loss spectroscopy with parallel readout of energy and
  momentum

abstract:
  We introduce a high energy resolution electron source that matches the
requirements for parallel readout of energy and momentum of modern
hemispherical electron energy analyzers. The system is designed as an add-on
device to typical photoemission chambers. Due to the multiplex gain, a complete
phonon dispersion of a Cu(111) surface was measured in seven minutes with 4 meV
energy resolution.


title:
Using single nanoparticle tracking obtained by nanophotonic force
  microscopy to simultaneously characterize nanoparticle size distribution and
  nanoparticle-surface interactions

abstract:
  Comprehensive characterization of nanomaterials for medical applications is a
challenging and complex task due to the multitude of parameters which need to
be taken into consideration in a broad range of conditions. Routine methods
such as dynamic light scattering or nanoparticle tracking analysis provide some
insight into the physicochemical properties of particle dispersions. For
nanomedicine applications the information they supply can be of limited use.
For this reason, there is a need for new methodologies and instruments that can
provide additional data on nanoparticle properties such as their interactions
with surfaces. Nanophotonic force microscopy has been shown as a viable method
for measuring the force between surfaces and individual particles in the
nano-size range. Here we outline a further application of this technique to
measure the size of single particles and based on these measurement build the
distribution of a sample. We demonstrate its efficacy by comparing the size
distribution obtained with nanophotonic force microscopy to established
instruments, such as dynamic light scattering and differential centrifugal
sedimentation. Our results were in good agreement to those observed with all
other instruments. Furthermore, we demonstrate that the methodology developed
in this work can be used to study complex particle mixtures and the surface
alteration of materials. For all cases studied, we were able to obtain both the
size and the interaction potential of the particles with a surface in a single
measurement.


title: Non-perturbative running of quark masses in three-flavour QCD

abstract:
  We present our preliminary results for the computation of the
non-perturbative running of renormalized quark masses in $N_f = 3$ QCD, between
the electroweak and hadronic scales, using standard finite-size scaling
techniques. The computation is carried out to very high precision, using
massless $\mathcal{O}(a)$-improved Wilson quarks. Following the strategy
adopted by the ALPHA Collaboration for the running coupling, different schemes
are used above and below a scale $\mu_0 \sim m_b$, which differ by using either
the Schr\"odinger Functional or Gradient Flow renormalized coupling. We discuss
our results for the running in both regions, and the procedure to match the two
schemes.


title:
A HEMT-Based Cryogenic Charge Amplifier with sub-100 eVee Ionization
  Resolution for Massive Semiconductor Dark Matter Detectors

abstract:
  We present the measured baseline ionization resolution of a HEMT-based
cryogenic charge amplifier coupled to a CDMS-II detector. The amplifier has
been developed to allow massive semiconductor dark matter detectors to retain
background discrimination at the low recoil energies produced by low-mass
WIMPs. We find a calibrated baseline ionization resolution of $\sigma_E =
91\,\text{eV}_{ee}$. To our knowledge, this is the best direct ionization
resolution achieved with such massive ($\approx$150 pF capacitance) radiation
detectors.


title:
Reconfigurable ASIC for a Low Level Trigger System in Cherenkov
  Telescope Cameras

abstract:
  A versatile and reconfigurable ASIC is presented, which implements two
different concepts of low level trigger (L0) for Cherenkov telescopes: the
Majority trigger (sum of discriminated inputs) and the Sum trigger concept
(analogue clipped sum of inputs). Up to 7 input signals can be processed
following one or both of the previous trigger concepts. Each differential pair
output of the discriminator is also available as a LVDS output. Differential
circuitry using local feedback allows the ASIC to achieve high speed (500 MHz)
while maintaining good linearity in a 1 Vpp range. Experimental results are
presented. A number of prototype camera designs of the Cherenkov Telescope
Array (CTA) project will use this ASIC.


title: CoMET: Composite-Input Magnetoelectric-based Logic Technology

abstract:
  This work proposes CoMET, a fast and energy-efficient spintronics device for
logic applications. An input voltage is applied to a ferroelectric (FE)
material, in contact with a composite structure - a ferromagnet (FM) with
in-plane magnetic anisotropy (IMA) placed on top of an intra-gate FM
interconnect with perpendicular magnetic anisotropy (PMA). Through the
magnetoelectric (ME) effect, the input voltage nucleates a domain wall (DW) at
the input end of the PMA-FM interconnect. An applied current then rapidly
propagates the DW towards the output FE structure, where the inverse-ME effect
generates an output voltage. This voltage is propagated to the input of the
next CoMET device using a novel circuit structure that enables efficient device
cascading. The material parameters for CoMET are optimized by systematically
exploring the impact of parameter choices on device performance. Simulations on
a 7nm CoMET device show fast, low-energy operation, with a delay/energy of
98ps/68aJ for INV and 135ps/85aJ for MAJ3.


title:
Noise characterization of an Optical Frequency Comb using Offline
  Cross-Correlation

abstract:
  Using an offline cross-correlation technique, we have analyzed the noise
behavior of a new type of optical frequency comb (OFC), which is carrier
envelope offset (CEO) free by configuration, due to difference frequency
generation. In order to evaluate the instrument's ultimate noise floor, the
phase and amplitude noise of a stabilized OFC are measured simultaneously using
two analog-to-digital converters. Carrier recovery and phase detection are done
by post-processing, eliminating the need for external phase-locked loops and
complex calibration techniques. In order to adapt the measurement noise floor
and the number of averages used in cross correlation, an adaptive frequency
resolution for noise measurement is applied. Phase noise results are in
excellent agreement with measurements of the fluctuations of the repetition
frequency of the OFC obtained from optical signal.


title:
Statistical signature of vortex filaments: dog or tail? Talk given at
  QFS 2016

abstract:
  The title of the paper coincides with the title of a paragraph in the famous
book by U. Frisch (1995)on classical turbulence. In this paragraph the author
discussed the role of statistical dynamics of vortex filaments in the theory of
turbulence and put the above question. In other words, whether the main
properties of turbulence (cascade, scaling laws) are the sequence of the vortex
line dynamics or the latter have only marginal signature. Quantum fluids, where
the vortex filaments are the real objects, give an excellent opportunity to
explore the role of discrete vortices in turbulent phenomena. The aim of this
paper is to discuss which elements of vortex dynamics would lead to the main
ingredients of the theory of turbulence. We discuss how the nonlinear dynamics
of vortex filaments can result in an exchange of energy between different
scales, the formation of the Kolmogorov-type energy spectra and the decay of
turbulence.


title: Structure of exciton condensates in imbalanced electron-hole bilayers

abstract:
  We investigate the possibility of excitonic superfluidity in electron-hole
bilayers. We calculate the phase diagram of the system for the whole range of
electron-hole density imbalance and for different degrees of electrostatic
screening, using mean-field theory and a Ginzburg-Landau expansion. We are able
to resolve differences on previous work in the literature which concentrated on
restricted regions of the parameter space. We also give detailed descriptions
of the pairing wavefunction in the Fulde-Ferrell-Larkin-Ovchinnikov paired
state. The Ginzburg-Landau treatment allows us to investigate the energy scales
involved in the pairing state and discuss the possible spontaneous breaking of
two-dimensional translation symmetry in the ground state.


title: Efficient Linear Programming for Dense CRFs

abstract:
  The fully connected conditional random field (CRF) with Gaussian pairwise
potentials has proven popular and effective for multi-class semantic
segmentation. While the energy of a dense CRF can be minimized accurately using
a linear programming (LP) relaxation, the state-of-the-art algorithm is too
slow to be useful in practice. To alleviate this deficiency, we introduce an
efficient LP minimization algorithm for dense CRFs. To this end, we develop a
proximal minimization framework, where the dual of each proximal problem is
optimized via block coordinate descent. We show that each block of variables
can be efficiently optimized. Specifically, for one block, the problem
decomposes into significantly smaller subproblems, each of which is defined
over a single pixel. For the other block, the problem is optimized via
conditional gradient descent. This has two advantages: 1) the conditional
gradient can be computed in a time linear in the number of pixels and labels;
and 2) the optimal step size can be computed analytically. Our experiments on
standard datasets provide compelling evidence that our approach outperforms all
existing baselines including the previous LP based approach for dense CRFs.


title: Space-time discrete KPZ equation

abstract:
  We study a general family of space-time discretizations of the KPZ equation
and show that they converge to its solution. The approach we follow makes use
of basic elements of the theory of regularity structures [M. Hairer, A theory
of regularity structures, Invent. Math. 2014] as well as its discrete
counterpart [M. Hairer, K. Matetski, Discretizations of rough stochastic PDEs,
2015]. Since the discretization is in both space and time and we allow
non-standard discretization for the product, the methods mentioned above have
to be suitably modified in order to accommodate the structure of the models
under study.


title: The Black Hole Accretion Code

abstract:
  We present the black hole accretion code (BHAC), a new multidimensional
general-relativistic magnetohydrodynamics module for the MPI-AMRVAC framework.
BHAC has been designed to solve the equations of ideal general-relativistic
magnetohydrodynamics in arbitrary spacetimes and exploits adaptive mesh
refinement techniques with an efficient block-based approach. Several
spacetimes have already been implemented and tested. We demonstrate the
validity of BHAC by means of various one-, two-, and three-dimensional test
problems, as well as through a close comparison with the HARM3D code in the
case of a torus accreting onto a black hole. The convergence of a turbulent
accretion scenario is investigated with several diagnostics and we find
accretion rates and horizon-penetrating fluxes to be convergent to within a few
percent when the problem is run in three dimensions. Our analysis also involves
the study of the corresponding thermal synchrotron emission, which is performed
by means of a new general-relativistic radiative transfer code, BHOSS. The
resulting synthetic intensity maps of accretion onto black holes are found to
be convergent with increasing resolution and are anticipated to play a crucial
role in the interpretation of horizon-scale images resulting from upcoming
radio observations of the source at the Galactic Center.


title: Connected quantized Weyl algebras and quantum cluster algebras

abstract:
  For an algebraically closed field $K$, we investigate a class of
noncommutative $K$-algebras called connected quantized Weyl algebras. Such an
algebra has a PBW basis for a set of generators $\{x_1,\dots,x_n\}$ such that
each pair satisfies a relation of the form $x_ix_j=q_{ij}x_jx_i+r_{ij}$, where
$q_{ij}\in K^*$ and $r_{ij}\in K$, with, in some sense, sufficiently many pairs
for which $r_{ij}\neq 0$. We classify connected quantized Weyl algebras,
showing that there are two types, linear and cyclic, each depending on a single
parameter $q$. When $q$ is not a root of unity we determine the prime spectra
for each type. In the linear case all prime ideals are completely prime but in
the cyclic case, which can only occur if $n$ is odd, there are prime ideals for
which the factors have arbitrarily large Goldie rank.
  We apply connected quantized Weyl algebras to obtain presentations of the
quantum cluster algebras for two classes of quiver, namely, for $m$ even, the
Dynkin quiver of type $A_m$ and the quiver $P_m^{(1)}$ identified by Fordy and
Marsh in their analysis of periodic quiver mutation.
  We establish Poisson analogues of the results on prime ideals and quantum
cluster algebras.


title:
Dynamical Shiba states by precessing magnetic moments in an s-wave
  superconductor

abstract:
  We study theoretically the dynamics of a Shiba state forming around
precessing classical spin in an s-wave superconductor. Utilizing a rotating
wave description for the precessing magnetic impurity, we find the resulting
Shiba bound state quasi-energy and the spatial extension of the Shiba
wavefunction. We show that such a precession pertains to dc charge and spin
currents flowing through a normal STM tip tunnel coupled to the superconductor
in the vicinity of the impurity. We calculate these currents and find that they
strongly depend on the magnetic impurity precession frequency, precession
angle, and on the position of the Shiba energy level in the superconducting
gap. The resulting charge current is found to be proportional to the difference
between the electron and hole wavefunctions of the Shiba state, being a direct
measure for such an asymmetry. By dynamically driving the impurity one can
infer the spin dependence of the Shiba states in the absence of a
spin-polarized STM tip