title: Weakly asymmetric bridges and the KPZ equation

abstract:
  We consider the corner growth dynamics on discrete bridges from $(0,0)$ to
$(2N,0)$, or equivalently, the weakly asymmetric simple exclusion process with
$N$ particles on $2N$ sites. We take an asymmetry of order $N^{-\alpha}$ with
$\alpha \in (0,1)$ and provide a complete description of the asymptotic
behaviour of this model. In particular, we show that the hydrodynamic limit of
the density of particles is given by the inviscid Burgers equation with
zero-flux boundary condition. When the interface starts from the flat initial
profile, we show that KPZ fluctuations occur whenever $\alpha \in (0,1/3]$. In
the particular regime $\alpha =1/3$, these KPZ fluctuations suddenly vanish at
a deterministic time.


title: Measurement-Induced Phase Transition in a Quantum Spin System

abstract:
  Suppose a quantum system starts to evolve under a Hamiltonian from some
initial state. When for the first time, will an observable attain a preassigned
value? To answer this question, one method often adopted is to make
instantaneous measurements periodically and note down the serial number for
which the desired result is obtained for the first time. We apply this protocol
to an interacting spin system at zero temperature and show analytically that
the response of this system shows a non-analyticity as a function of the
parameter of the Hamiltonian and the time interval of measurement. In contrast
to quantum phase transitions, this new type of phase transition is not a
property of the ground state and arises from the Hamiltonian dynamics and
quantum mechanical nature of the measurement. The specific system studied is
transverse Ising chain and the measurement performed is, whether the total
transverse magnetic moment (per site) is not equal to 1. The results for some
other types of measurement is also discussed.


title:
Interplanetary Consequences of Coronal Mass Ejection Events occurred
  during 18--25 June 2015

abstract:
  In this paper, we review the preliminary results on the propagation effects
and interplanetary consequences of fast and wide coronal mass ejection (CME)
events, occurred during 18--25 June 2015, in the Sun-Earth distance range. The
interplanetary scintillation (IPS) images reveal that the large-scale
structures of CME-driven disturbances filled nearly the entire inner
heliosphere with a range of speeds, $\sim$300--1000 {\kmps}. The comparison of
speed data sets, from IPS technique results in the inner heliosphere and {\it
in-situ} measurements at 1 AU, indicates that the drag force imposed by the
low-speed wind dominated heliosphere on the propagation of CMEs may not be
effective. The arrival of shocks at 1 AU suggests that a shock can be driven in
the interplanetary medium by the central part of the moving CME and also by a
different part away from its centre. The increased flux of proton at energies
$>$10 MeV is consistent with the acceleration of particles by the shock ahead
of the CME.


title:
Impact Of A Uniform Plasma Resistivity In MHD Modelling Of Helical
  Solutions For The Reversed Field Pinch Dynamo

abstract:
  Till now the magnetohydrodynamic (MHD) simulation of the reversed field pinch
(RFP) has been performed by assuming axis-symmetric radial time independent
dissipation profiles. In helical states this assumption is not correct since
these dissipations should be flux functions, and should exhibit a helical
symmetry as well. Therefore more correct simulations should incorporate
self-consistent dissipation profiles. As a first step in this direction, the
case of uniform dissipation profiles was considered by using the 3D nonlinear
visco-resistive MHD code SpeCyl. It is found that a flattening of the
resistivity profile results in the reduction of the dynamo action, which brings
to marginally-reversed or even non-reversed equilibrium solutions. The physical
origin of this result is discussed in relation to the electrostatic drift
explanation of the RFP dynamo. This sets constraints on the functional choice
of dissipations in future self-consistent simulations.


title: KLMAT: A Kernel Least Mean Absolute Third Algorithm

abstract:
  In this paper, a kernel least mean absolute third (KLMAT) algorithm is
developed for adaptive prediction. Combining the benefits of the kernel method
and the least mean absolute third (LMAT) algorithm, the proposed KLMAT
algorithm performs robustly against noise with different probability densities.
To further enhance the convergence rate of the KLMAT algorithm, a variable
step-size version (VSS-KLMAT algorithm) is proposed based on a Lorentzian
function. Moreover, the stability and convergence property of the proposed
algorithms are analyzed. Simulation results in the context of time series
prediction demonstrate that the effectiveness of proposed algorithms.


title: Matrix factoring by fraction-free reduction

abstract:
  We consider exact matrix decomposition by Gauss-Bareiss reduction. We
investigate two aspects of the process: common row and column factors and the
influence of pivoting strategies. We identify two types of common factors:
systematic and statistical. Systematic factors depend on the process, while
statistical factors depend on the specific data. We show that existing
fraction-free QR (Gram-Schmidt) algorithms create a common factor in the last
column of Q. We relate the existence of row factors in LU decomposition to
factors appearing in the Smith normal form of the matrix. For statistical
factors, we identify mechanisms and give estimates of the frequency. Our
conclusions are tested by experimental data. For pivoting strategies, we
compare the sizes of output factors obtained by different strategies. We also
comment on timing differences.


title: Beam Imaging and Luminosity Calibration

abstract:
  We discuss a method to reconstruct two-dimensional proton bunch densities
using vertex distributions accumulated during LHC beam-beam scans. The $x$-$y$
correlations in the beam shapes are studied and an alternative luminosity
calibration technique is introduced. We demonstrate the method on simulated
beam-beam scans and estimate the uncertainty on the luminosity calibration
associated to the beam-shape reconstruction to be below 1\%.


title:
Investigating Energy Scales of Fractional Quantum Hall States using
  Scanning Gate Microscopy

abstract:
  We use the voltage biased tip of a scanning force microscope at a temperature
of 35\,mK to locally induce the fractional quantum Hall state of $\nu=1/3$ in a
split-gate defined constriction. Different tip positions allow us to vary the
potential landscape. From temperature dependence of the conductance plateau at
$G=1/3 \times e^2/h$ we determine the activation energy of this local $\nu=1/3$
state. We find that at a magnetic field of 6\,T the activation energy is
between 153\,$\mu$eV and 194\,$\mu$eV independent of the shape of the confining
potential, but about 50\% lower than for bulk samples.


title:
Threshold Corrections to Dimension-six Proton Decay Operators in
  Non-minimal SUSY SU(5) GUTs

abstract:
  We calculate the high and low scale threshold corrections to the D=6 proton
decay mode in supersymmetric SU(5) grand unified theories with
higher-dimensional representation Higgs multiplets. In particular, we focus on
a missing-partner model in which the grand unified group is spontaneously
broken by the 75-dimensional Higgs multiplet and the doublet-triplet splitting
problem is solved. We find that in the missing-partner model the D=6 proton
decay rate gets suppressed by about 60%, mainly due to the threshold effect at
the GUT scale, while the SUSY-scale threshold corrections are found to be less
prominent when sfermions are heavy.


title:
An integral representation of dilatively stable processes with
  independent increments

abstract:
  Dilative stability generalizes the property of selfsimilarity for infinitely
divisible stochastic processes by introducing an additional scaling in the
convolution exponent. Inspired by results of Igl\'oi, we will show how
dilatively stable processes with independent increments can be represented by
integrals with respect to time-changed L\'evy processes. Via a Lamperti-type
transformation these representations are shown to be closely connected to
translatively stable processes of Ornstein-Uhlenbeck-type, where translative
stability generalizes the notion of stationarity. The presented results
complement corresponding representations for selfsimilar processes with
independent increments known from the literature.


title:
Large $N$ Limits in Tensor Models: Towards More Universality Classes of
  Colored Triangulations in Dimension $d\geq 2$

abstract:
  We review an approach which aims at studying discrete (pseudo-)manifolds in
dimension $d\geq 2$ and called random tensor models. More specifically, we
insist on generalizing the two-dimensional notion of $p$-angulations to higher
dimensions. To do so, we consider families of triangulations built out of
simplices with colored faces. Those simplices can be glued to form new building
blocks, called bubbles which are pseudo-manifolds with boundaries. Bubbles can
in turn be glued together to form triangulations. The main challenge is to
classify the triangulations built from a given set of bubbles with respect to
their numbers of bubbles and simplices of codimension two. While the colored
triangulations which maximize the number of simplices of codimension two at
fixed number of simplices are series-parallel objects called melonic
triangulations, this is not always true anymore when restricting attention to
colored triangulations built from specific bubbles. This opens up the
possibility of new universality classes of colored triangulations. We present
three existing strategies to find those universality classes. The first two
strategies consist in building new bubbles from old ones for which the problem
can be solved. The third strategy is a bijection between those colored
triangulations and stuffed, edge-colored maps, which are some sort of hypermaps
whose hyperedges are replaced with edge-colored maps. We then show that the
present approach can lead to enumeration results and identification of
universality classes, by working out the example of quartic tensor models. They
feature a tree-like phase, a planar phase similar to two-dimensional quantum
gravity and a phase transition between them which is interpreted as a
proliferation of baby universes.


title: Many Server Scaling of the N-System Under FCFS-ALIS

abstract:
  The N-System with independent Poisson arrivals and exponential
server-dependent service times under first come first served and assign to
longest idle server policy has explicit steady state distribution. We scale the
arrival and the number of servers simultaneously, and obtain the fluid and
central limit approximation for the steady state. This is the first step
towards exploring the many server scaling limit behavior of general parallel
service systems.


title:
Effect of magnetic perturbations on the 3D MHD self-organization of
  shaped tokamak plasmas

abstract:
  The effect of magnetic perturbations (MPs) on the helical self-organization
of shaped tokamak plasmas is discussed in the framework of the nonlinear 3D MHD
model. Numerical simulations performed in toroidal geometry with the
\textsc{pixie3d} code [L. Chac\'on, Phys. Plasmas {\bf 15}, 056103 (2008)] show
that $n=1$ MPs significantly affect the spontaneous quasi-periodic sawtoothing
activity of such plasmas. In particular, the mitigation of sawtooth
oscillations is induced by $m/n=1/1$ and $2/1$ MPs. These numerical findings
provide a confirmation of previous circular tokamak simulations, and are in
agreement with tokamak experiments in the RFX-mod and DIII-D devices. Sawtooth
mitigation via MPs has also been observed in reversed-field pinch simulations
and experiments. The effect of MPs on the stochastization of the edge magnetic
field is also discussed.


title:
A milestone toward understanding PDR properties in the extreme
  environment of LMC-30Dor

abstract:
  More complete knowledge of galaxy evolution requires understanding the
process of star formation and interaction between the interstellar radiation
field and the interstellar medium in galactic environments traversing a wide
range of physical parameter space. Here we focus on the impact of massive star
formation on the surrounding low metallicity ISM in 30 Doradus in the Large
Magellanic Cloud. A low metal abundance, as is the case of some galaxies of the
early universe, results in less ultra-violet shielding for the formation of the
molecular gas necessary for star formation to proceed. The half-solar
metallicity gas in this region is strongly irradiated by the super star cluster
R136, making it an ideal laboratory to study the structure of the ISM in an
extreme environment. Our spatially resolved study investigates the gas heating
and cooling mechanisms, particularly in the photo-dissociation regions where
the chemistry and thermal balance are regulated by far-ultraviolet photons (6
eV< h\nu <13.6 eV).
  We present Herschel observations of far-infrared fine-structure lines
obtained with PACS and SPIRE/FTS. We have combined atomic fine-structure lines
from Herschel and Spitzer observations with ground-based CO data to provide
diagnostics on the properties and the structure of the gas by modeling it with
the Meudon PDR code. We derive the spatial distribution of the radiation field,
the pressure, the size, and the filling factor of the photodissociated gas and
molecular clouds. We find a range of pressure of ~ 10^5 - 1.7x10^6 cm^{-3} K
and a range of incident radiation field G_UV ~ 10^2 - 2.5x10^4 through PDR
modeling. Assuming a plane-parallel geometry and a uniform medium, we find a
total extinction of 1-3 mag , which correspond to a PDR cloud size of 0.2 to
3pc, with small CO depth scale of 0.06 to 0.5pc. We also determine the three
dimensional structure of the gas. (Abridged)


title: Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities

abstract:
  In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two
parameter family of inequalities. It has been known that there is a region in
parameter space where the optimizers for the inequalities have broken symmetry.
It has been shown recently that in the complement of this region the optimizers
are radially symmetric. The ideas for the proof will be given.


title:
Particles interacting with a vibrating medium: existence of solutions
  and convergence to the Vlasov--Poisson system

abstract:
  We are interested in a kinetic equation intended to describe the interaction
of particles with their environment. The environment is modeled by a collection
of local vibrational degrees of freedom. We establish the existence of weak
solutions for a wide class of initial data and external forces. We also
identify a relevant regime which allows us to derive, quite surprisingly, the
attractive Vlasov--Poisson system from the coupled Vlasov-Wave equations.


title: Colloquium: Topological Band Theory

abstract:
  The first-principles band theory paradigm has been a key player not only in
the process of discovering new classes of topologically interesting materials,
but also for identifying salient characteristics of topological states,
enabling direct and sharpened confrontation between theory and experiment. We
begin this review by discussing underpinnings of the topological band theory,
which basically involves a layer of analysis and interpretation for assessing
topological properties of band structures beyond the standard band theory
construct. Methods for evaluating topological invariants are delineated,
including crystals without inversion symmetry and interacting systems. The
extent to which theoretically predicted properties and protections of
topological states have been verified experimentally is discussed, including
work on topological crystalline insulators, disorder/interaction driven
topological insulators (TIs), topological superconductors, Weyl semimetal
phases, and topological phase transitions. Successful strategies for new
materials discovery process are outlined. A comprehensive survey of currently
predicted 2D and 3D topological materials is provided. This includes binary,
ternary and quaternary compounds, transition metal and f-electron materials,
Weyl and 3D Dirac semimetals, complex oxides, organometallics, skutterudites
and antiperovskites. Also included is the emerging area of 2D atomically thin
films beyond graphene of various elements and their alloys, functional thin
films, multilayer systems, and ultra-thin films of 3D TIs, all of which hold
exciting promise of wide-ranging applications. We conclude by giving a
perspective on research directions where further work will broadly benefit the
topological materials field.


title:
Combinatorial RNA Design Designability and Structure-Approximating
  Algorithm in Watson-Crick and Nussinov-Jacobson Energy Models

abstract:
  We consider the Combinatorial RNA Design problem, a minimal instance of RNA
design where one must produce an RNA sequence that adopts a given secondary
structure as its minimal free-energy structure. We consider two free-energy
models where the contributions of base pairs are additive and independent: the
purely combinatorial Watson-Crick model, which only allows equally-contributing
A -- U and C -- G base pairs, and the real-valued Nussinov-Jacobson model,
which associates arbitrary energies to A -- U, C -- G and G -- U base pairs. We
first provide a complete characterization of designable structures using
restricted alphabets and, in the four-letter alphabet, provide a complete
characterization for designable structures without unpaired bases. When
unpaired bases are allowed, we characterize extensive classes of
(non-)designable structures, and prove the closure of the set of designable
structures under the stutter operation. Membership of a given structure to any
of the classes can be tested in $\Theta$(n) time, including the generation of a
solution sequence for positive instances. Finally, we consider a
structure-approximating relaxation of the design, and provide a $\Theta$(n)
algorithm which, given a structure S that avoids two trivially non-designable
motifs, transforms S into a designable structure constructively by adding at
most one base-pair to each of its stems.


title:
Investigation of anomalous-Hall and spin-Hall effects of
  antiferromagnetic IrMn sandwiched by Pt and YIG layers

abstract:
  We report an investigation of temperature and IrMn layered thickness
dependence of anomalous-Hall resistance (AHR), anisotropic magnetoresistance
(AMR), and magnetization on Pt/Ir20Mn80/Y3Fe5O12 (Pt/IrMn/YIG)
heterostructures. The magnitude of AHR is dramatically enhanced compared with
Pt/YIG bilayers. The enhancement is much more profound at higher temperatures
and peaks at the IrMn thickness of 3 nm. The observed spin-Hall
magnetoresistance (SMR) in the temperature range of 10-300 K indicates that the
spin current generated in the Pt layer can penetrate the entire thickness of
the IrMn layer to interact with the YIG layer. The lack of conventional
anisotropic magnetoresistance (CAMR) implies that the insertion of the IrMn
layer between Pt and YIG efficiently suppresses the magnetic proximity effect
(MPE) on induced Pt moments by YIG. Our results suggest that the dual roles of
the InMn insertion in Pt/IrMn/YIG heterostructures are to block the MPE and to
transport the spin current between Pt and YIG layers. We discuss possible
mechanisms for the enhanced AHR.


title: Entanglement entropy in a periodically driven quantum Ising chain

abstract:
  We numerically study the dynamics of entanglement entropy, induced by an
oscillating time periodic driving of the transverse field, h(t), of a
one-dimensional quantum Ising chain. We consider several realizations of h(t),
and we find a number of results in analogy with entanglement entropy dynamics
induced by a sudden quantum quench. After short-time relaxation, the dynamics
of entanglement entropy synchronises with h(t), displaying an oscillatory
behaviour at the frequency of the driving. Synchronisation in the dynamics of
entanglement entropy, is spoiled by the appearance of quasi-revivals which fade
out in the thermodynamic limit, and which we interpret using a quasi-particle
picture adapted to periodic drivings. Taking the time-average of the
entanglement entropy in the synchronised regime, we find that it obeys a volume
law scaling with the subsystem's size. Such result is reminiscent of a thermal
state or of a Generalised Gibbs ensemble of a quenched Ising chain, although
the system does not heat up towards infinite temperature as a consequence of
the integrability of the model.


title:
Willingness to pay for basic research: a contingent valuation experiment
  on the large hadron collider

abstract:
  An increasing number of countries and institutions are investing in
large-scale research infrastructures (RIs) and in basic research. Scientific
discoveries, which are expected thanks to RIs, may have a non-use value, in
analogy with environmental and cultural public goods. This paper provides, for
the first time, an empirical estimation of the willingness to pay (WTP) for
discoveries in basic research by the general public. We focus on the Large
Hadron Collider (LHC), the largest particle accelerator worldwide, where in
2012 the Higgs boson was discovered. Nobody knows the practical value of such
discovery, beyond knowledge per se. The findings of our study are based on a
dichotomous choice contingent valuation (CV) survey carried out in line with
the NOAA guidelines. The survey involved 1,022 undergraduate students enrolled
in more than 30 different degrees (including the humanities) at five
universities located in four countries (Italy, France, Spain, UK). We ask two
main research questions: Which are the determinants of the WTP for the LHC
discoveries? What is the average contribution that the respondents would be
willing to pay? Our results confirm that income, interest and attitudes towards
basic research are positively associated with the WTP, while other potential
explanatory variables play a limited role. The estimated mean of WTP for basic
research in particle physics is EUR 7.7 per person una-tantum. Although this is
a small amount compared to other CV studies for environmental and cultural
goods, it points to positive social attitudes for basic science as a public
good.


title: Enhanced nonlinear refractive index in epsilon-near-zero materials

abstract:
  New propagation regimes for light arise from the ability to tune the
dielectric permittivity to extremely low values. Here we demonstrate a
universal approach based on the low linear permittivity values attained in the
epsilon-near-zero (ENZ) regime for enhancing the nonlinear refractive index,
which enables remarkable light-induced changes of the material properties.
Experiments performed on Al-doped ZnO (AZO) thin films show a six-fold increase
of the Kerr nonlinear refractive index ($n_2$) at the ENZ wavelength, located
in the 1300 nm region. This in turn leads to ultrafast light-induced refractive
index changes of the order of unity, thus representing a new paradigm for
nonlinear optics.


title:
Interference Effect of Majorana Fermions in a Spin-orbit Coupled
  Superconducting Wire

abstract:
  Two majorana Fermions (MFs) localized at the two ends of the topological
superconducting wire can interfere with each other and form the well known
$4\pi$ Josephson current. We reveal that the density of states (Dos) for the
electron part and the hole part also follow a parity correlated $4\pi$ period
oscillation, while the Dos displays a $2\pi$ period oscillation when two
trivial states interfere with each other. Thus, the period of Dos oscillation
can be used to distinguish the MFs from the trivial localized states.
Interestingly, such phenomena can be directly observed in a short
superconducting wire controlled by the gate voltage. This largely simplifies
the experimental setup. We suggest that the interference effects can be
detected through two STM leads or two norm leads.


title: On The Group Algebra Decomposition of a Jacobian Variety

abstract:
  Given a compact Riemann surface X with an action of a finite group G, the
group algebra Q[G] provides an isogenous decomposition of its Jacobian variety
JX, known as the group algebra decomposition of JX. We obtain a method to
concretely build a decomposition of this kind. Our method allows us to study
the geometry of the decomposition. For instance, we build several
decompositions in order to determine which one has kernel of smallest order. We
apply this method to families of trigonal curves up to genus 10.


title:
Quantum magnetotransport properties of topological insulators under
  strain

abstract:
  Recent experiments reveal that the strained bulk HgTe can be regard as a
three-dimensional topological insulator (TI). Motivated by this, we explore the
strain effects on the magnetotransport properties of the HgTe surface states at
magnetic field. We analytically derive the zero frequency Hall and collisional
conductivities, and find that the substrate induced strain associated with the
surface index of carriers, can result in the well seperated surface quantum
Hall plateaus and Shubnikov-de Haas oscillations. These effects can be used to
generate and detect surface polarization.


title: Products of abstract polytopes

abstract:
  Given two convex polytopes, the join, the cartesian product and the direct
sum of them are well understood. In this paper we extend these three kinds of
products to abstract polytopes and introduce a new product, called the
topological product, which also arises in a natural way.
  We show that these products have unique prime factorization theorems.
  We use this to compute the automorphism group of a product in terms of the
automorphism groups of the factors and show that (non trivial) products are
almost never regular or two-orbit polytopes. We finish the paper by studying
the monodromy group of a product, show that such a group is always an extension
of a symmetric group, and give some examples in which this extension splits.


title:
A multigrid perspective on the parallel full approximation scheme in
  space and time

abstract:
  For the numerical solution of time-dependent partial differential equations,
time-parallel methods have recently shown to provide a promising way to extend
prevailing strong-scaling limits of numerical codes. One of the most complex
methods in this field is the "Parallel Full Approximation Scheme in Space and
Time" (PFASST). PFASST already shows promising results for many use cases and
many more is work in progress. However, a solid and reliable mathematical
foundation is still missing. We show that under certain assumptions the PFASST
algorithm can be conveniently and rigorously described as a multigrid-in-time
method. Following this equivalence, first steps towards a comprehensive
analysis of PFASST using block-wise local Fourier analysis are taken. The
theoretical results are applied to examples of diffusive and advective type.


title: Almost gentle algebras and their trivial extensions

abstract:
  In this paper we define almost gentle algebras. They are monomial special
multiserial algebras generalizing gentle algebras. We show that the trivial
extension of an almost gentle algebra by its minimal injective co-generator is
a symmetric special multiserial algebra and hence a Brauer configuration
algebra. Conversely, we show that any almost gentle algebra is an admissible
cut of a unique Brauer configuration algebra and as a consequence, we obtain
that every Brauer configuration algebra with multiplicity function identically
one, is the trivial extension of an almost gentle algebra. We show that to
every almost gentle algebra A is associated a hypergraph, and that this
hypergraph induces the Brauer configuration of the trivial extension of A.
Amongst other things, this gives a combinatorial criterion to decide when two
almost gentle algebras have isomorphic trivial extensions.


title: High Resolution Hard X-ray Magnetic Imaging with Dichroic Ptychography

abstract:
  Imaging the magnetic structure of a material is essential to understanding
the influence of the physical and chemical microstructure on its magnetic
properties. Magnetic imaging techniques, however, have up to now been unable to
probe 3D micrometer-sized systems with nanoscale resolution. Here we present
the imaging of the magnetic domain configuration of a micrometre-thick FeGd
multilayer with hard X-ray dichroic ptychography at energies spanning both the
Gd L3 edge and the Fe K edge, providing a high spatial resolution spectroscopic
analysis of the complex X-ray magnetic circular dichroism. With a spatial
resolution reaching 45 nm, this advance in hard X-ray magnetic imaging is the
first step towards the investigation of buried magnetic structures and extended
three-dimensional magnetic systems at the nanoscale.


title:
Demonstration of EPR steering using single-photon path entanglement and
  displacement-based detection

abstract:
  We demonstrate the violation of an EPR steering inequality developed for
single photon path entanglement with displacement-based detection. We use a
high-rate source of heralded single-photon path-entangled states, combined with
high-efficiency superconducting-based detectors, in a scheme that is free of
any post-selection and thus immune to the detection loophole. This result
conclusively demonstrates single-photon entanglement in a one-sided
device-independent scenario, and opens the way towards implementations of
device-independent quantum technologies within the paradigm of path
entanglement.


title: Fast Optical Flow using Dense Inverse Search

abstract:
  Most recent works in optical flow extraction focus on the accuracy and
neglect the time complexity. However, in real-life visual applications, such as
tracking, activity detection and recognition, the time complexity is critical.
  We propose a solution with very low time complexity and competitive accuracy
for the computation of dense optical flow. It consists of three parts: 1)
inverse search for patch correspondences; 2) dense displacement field creation
through patch aggregation along multiple scales; 3) variational refinement. At
the core of our Dense Inverse Search-based method (DIS) is the efficient search
of correspondences inspired by the inverse compositional image alignment
proposed by Baker and Matthews in 2001.
  DIS is competitive on standard optical flow benchmarks with large
displacements. DIS runs at 300Hz up to 600Hz on a single CPU core, reaching the
temporal resolution of human's biological vision system. It is order(s) of
magnitude faster than state-of-the-art methods in the same range of accuracy,
making DIS ideal for visual applications.


title: Energy levels and radiative rates for Cr-like Cu VI and Zn VII

abstract:
  Energy levels and radiative rates (A-values) for transitions in Cr-like Cu~VI
and Zn~VII are reported. These data are determined in the quasi-relativistic
approach (QR), by employing a very large {\em configuration interaction} (CI)
expansion which is highly important for these ions. No radiative rates are
available in the literature to compare with our results, but our calculated
energies are in close agreement with those compiled by NIST and other available
theoretical data, for a majority of the levels. The A-values (and resultant
lifetimes) are listed for all significantly contributing E1, E2 and M1
radiative transitions among the energetically lowest 322 levels of each ion.


title:
Properties of the single-site reduced density matrix in the Bose-Bose
  resonance model in the ground state and in quantum quenches

abstract:
  We study properties of the single-site reduced density matrix in the
Bose-Bose resonance model as a function of system parameters. This model
describes a single-component Bose gas with a resonant coupling to a diatomic
molecular state, here defined on a lattice. A main goal is to demonstrate that
the eigenstates of the single-site reduced density matrix have structures that
are characteristic for the various quantum phases of this system. Since the
Hamiltonian conserves only the global particle number but not the number of
bosons and molecules individually, these eigenstates, referred to as optimal
modes, can be nontrivial linear combinations of bare eigenstates of the
molecular and boson particle number. We numerically analyze the optimal modes
and their weights, the latter giving the importance of the corresponding state,
in the ground state of the Bose-Bose resonance model. We find that the
single-site von Neumann entropy is sensitive to the location of the phase
boundaries. We explain the structure of the optimal modes and their weight
spectra using perturbation theory and via a comparison to results for the
single-component Bose-Hubbard model. We further study the dynamical evolution
of the optimal modes and of the single-site entanglement entropy in two quantum
quenches that cross phase boundaries of the model and show that these
quantities are thermal in the steady state. For our numerical calculations, we
use the density matrix renormalization group method for ground-state
calculations and time evolution in a Krylov subspace for the quench dynamics as
well as exact diagonalization.


title:
Fast Detection of Block Boundaries in Block Wise Constant Matrices: An
  Application to HiC data

abstract:
  We propose a novel approach for estimating the location of block boundaries
(change-points) in a random matrix consisting of a block wise constant matrix
observed in white noise. Our method consists in rephrasing this task as a
variable selection issue. We use a penalized least-squares criterion with an
$\ell_1$-type penalty for dealing with this issue. We first provide some
theoretical results ensuring the consistency of our change-point estimators.
Then, we explain how to implement our method in a very efficient way. Finally,
we provide some empirical evidence to support our claims and apply our approach
to HiC data which are used in molecular biology for better understanding the
influence of the chromosomal conformation on the cells functioning.


title: Dipole response in neutron-rich nuclei with new Skyrme interactions

abstract:
  We investigate the isoscalar and isovector E1 response of neutron-rich
nuclei, within a semi-classical transport model employing effective
interactions for the nuclear mean-field. In particular, we adopt the recently
introduced SAMi-J Skyrme interactions, whose parameters are specifically tuned
to improve the description of spin-isospin properties of nuclei. Our analysis
evidences a relevant degree of isoscalar/isovector mixing of the collective
excitations developing in neutron-rich systems. Focusing on the low-lying
strength emerging in the isovector response, we show that this energy region
essentially corresponds to the excitation of isoscalar-like modes, which also
contribute to the isovector response owing to their mixed character.
Considering effective interactions which mostly differ in the isovector
channels, we observe that these mixing effects increase with the slope L of the
symmetry energy at saturation density, leading to a larger strength in the
low-energy region of the isovector response. This result appears connected to
the increase, with L, of the neutron/proton asymmetry at the surface of the
considered nuclei, i.e., to the extension of the neutron skin.


title:
MCG+08-22-082: A double core and boxy appearance dwarf lenticular galaxy
  as suspected to be a merger remnant

abstract:
  We present a study on the dwarf lenticular galaxy MCG+08-22-082 (U141)
located in the Ursa Major cluster, which is blue centered, double cored, and
has a boxy appearance. Using publicly available data from the SDSS, we perform
an analysis of structural and stellar population properties of the galaxy and
the cores. We find that the light profile of U141 follows an exponential law.
U141 has a brightness Mr = -16.01 mag, and an effective radius Re = 1.7 kpc.
The boxiness parameter, a4/a, is mostly between 0 and -0.05 in the inner parts,
reaching an extreme of about -0.1. Double cores are seen at the center of U141
and each of these cores has a stellar mass of ~10^6 M_sun and the separation
between them is ~300 pc. Optical spectroscopy of these cores shows prominent
emission in H_alpha suggesting ongoing star forming activities. We interpret
these morphological properties to speculate that U141 is a merger remnant of
two disk galaxies. Thus, we might have caught an intermediate stage of merging
with the evidence of double cores in the center of the galaxy.


title:
The ground state of long-range Schrodinger equations and static
  $q\bar{q}$ potential

abstract:
  Motivated by the recent results in arXiv:1601.05679 about the quark-antiquark
potential in $\mathcal N=4$ SYM, we reconsider the problem of computing the
asymptotic weak-coupling expansion of the ground state energy of a certain
class of 1d Schr\"odinger operators $-\frac{d^{2}}{dx^{2}}+\lambda\,V(x)$ with
long-range potential $V(x)$. In particular, we consider even potentials obeying
$\int_{\mathbb R}dx\, V(x)<0$ with large $x$ asymptotics $V\sim
-a/x^{2}-b/x^{3}+\cdots$. The associated Schr\"odinger operator is known to
admit a bound state for $\lambda\to 0^{+}$, but the binding energy is
rigorously non-analytic at $\lambda=0$. Its asymptotic expansion starts at
order $\mathcal O(\lambda)$, but contains higher corrections
$\lambda^{n}\,\log^{m}\lambda$ with all $0\le m\le n-1$ and standard
Rayleigh-Schr\"odinger perturbation theory fails order by order in $\lambda$.
We discuss various analytical tools to tame this problem and provide the
general expansion of the binding energy at $\mathcal O(\lambda^{3})$ in terms
of quadratures. The method is tested on a soluble potential that is fully under
control, and on various non-soluble cases as well. A supersymmetric case,
arising in the study of the quark-antiquark potential in $\mathcal N=6$ ABJ(M)
theory, is also exploited to provide a further non-trivial consistency check.
Our analytical results confirm at third order a remarkable exponentiation of
the leading infrared logarithms, first noticed in $\mathcal N=4$ SYM where it
may be proved by Renormalization Group arguments. We prove this interesting
feature at all orders at the level of the Schr\"odinger equation for general
potentials in the considered class.


title: Global compactness results for nonlocal problems

abstract:
  We obtain a Struwe type global compactness result for a class of nonlinear
nonlocal problems involving the fractional $p-$Laplacian operator and
nonlinearities at critical growth.


title: Noncommutative effects of spacetime on holographic superconductors

abstract:
  The Sturm-Liouville eigenvalue method is employed to analytically investigate
the properties of holographic superconductors in higher dimensions in the
framework of Born-Infeld electrodynamics incorporating the effects of
noncommutative spacetime. In the background of pure Einstein gravity in
noncommutative spacetime, we obtain the relation between the critical
temperature and the charge density. We also obtain the value of the
condensation operator and the critical exponent. Our findings suggest that
higher the value of noncommutative parameter and Born-Infeld parameter make the
condensate harder to form. We also observe that the critical temperature
depends on the mass of the black hole and higher value of black hole mass is
favourable for the formation of the condensate.


title: Alloy meets TLA+: An exploratory study

abstract:
  Alloy and TLA+ are two formal specification languages that are increasingly
popular due to their simplicity and flexibility, as well as the effectiveness
of their companion model checkers, the Alloy Analyzer and TLC, respectively.
Nonetheless, while TLA+ focuses on temporal properties, Alloy is better suited
to handle structural properties, requiring ad hoc mechanisms to reason about
temporal properties. Thus, both have limitations in the specification and
analysis of systems rich in both static and dynamic properties. This paper
explores the pros and cons of these two frameworks when handling this class of
systems through the step-by-step modeling, specification and verification of an
example.


title:
Artificial-Noise Aided Secure Transmission in Large Scale Spectrum
  Sharing Networks

abstract:
  We investigate beamforming and artificial noise generation at the secondary
transmitters to establish secure transmission in large scale spectrum sharing
networks,where multiple non-colluding eavesdroppers attempt to intercept the
secondary transmission. We develop a comprehensive analytical framework to
accurately assess the secrecy performance under the primary users' quality of
service constraint. Our aim is to characterize the impact of beamforming and
artificial noise generation on this complex large scale network. We first
derive exact expressions for the average secrecy rate and the secrecy outage
probability.We then derive an easy-to-evaluate asymptotic average secrecy rate
and asymptotic secrecy outage probability when the number of antennas at the
secondary transmitter goes to infinity. Our results show that the equal power
allocation between the useful signal and artificial noise is not always the
best strategy to achieve maximum average secrecy rate in large scale spectrum
sharing networks. Another interesting observation is that the advantage of
beamforming and artificial noise generation over beamforming on the average
secrecy rate is lost when the aggregate interference from the primary and
secondary transmitters is strong, such that it overtakes the effect of the
generated artificial noise.


title:
Operation of a quantum dot in the finite-state machine mode:
  single-electron dynamic memory

abstract:
  A single electron dynamic memory is designed based on the non-equilibrium
dynamics of charge states in electrostatically-defined metallic quantum dots.
Using the orthodox theory for computing the transfer rates and a master
equation, we model the dynamical response of devices consisting of a charge
sensor coupled to either a single and or a double quantum dot subjected to a
pulsed gate voltage. We show that transition rates between charge states in
metallic quantum dots are characterized by an asymmetry that can be controlled
by the gate voltage. This effect is more pronounced when the switching between
charge states corresponds to a Markovian process involving electron transport
through a chain of several quantum dots. By simulating the dynamics of electron
transport we demonstrate that the quantum box operates as a finite-state
machine that can be addressed by choosing suitable shapes and switching rates
of the gate pulses. We further show that writing times in the ns range and
retention memory times six orders of magnitude longer, in the ms range, can be
achieved on the double quantum dot system using experimentally feasible
parameters thereby demonstrating that the device can operate as a dynamic
single electron memory.


title:
Well-posedness of hyperbolic systems with multiplicities and smooth
  coefficients

abstract:
  We study hyperbolic systems with multiplicities and smo\-oth coefficients. In
the case of non-analytic, smooth coefficients, we prove well-posedness in any
Gevrey class and when the coefficients are analytic, we prove $C^\infty$
well-posedness. The proof is based on a transformation to block Sylvester form
introduced by D'Ancona and Spagnolo in Ref. 9 which increases the system size
but does not change the eigenvalues. This reduction introduces lower order
terms for which appropriate Levi-type conditions are found. These translate
then into conditions on the original coefficient matrix. This paper can be
considered as a generalisation of Ref. 12, where weakly hyperbolic higher order
equations with lower order terms were considered.


title: Minimal conformal extensions of the Higgs sector

abstract:
  In this work we find the minimal extension of the Standard Model's Higgs
sector which can lead to a light Higgs boson via radiative symmetry breaking
and is consistent with the phenomenological requirements for a low-energy
realization of a conformal theory. The model which turns out to be stable under
renormalization group translations is an extension of the Standard Model by two
scalar fields, one of which acquires a finite vacuum expectation value and
therefore mixes into the physical Higgs. We find that the minimal model
predicts a sizable amount of mixing which makes it testable at a collider. In
addition to the physical Higgs, the theory's scalar spectrum contains one light
and one heavy boson. The heavy scalar's properties render it a potential dark
matter candidate.


title: The $a$-numbers of Fermat and Hurwitz curves

abstract:
  For an algebraic curve $\mathcal{X}$ defined over an algebraically closed
field of characteristic $p >0$, the $a$-number $a(\mathcal{X})$ is the
dimension of the space of exact holomorphic differentials on $\mathcal{X}$. We
compute the $a$-number for an infinite families of Fermat and Hurwitz curves.
Our results apply to Hermitian curves giving a new proof for a previous result
of Gross.


title:
The common ancestor type distribution of a $\Lambda$-Wright-Fisher
  process with selection and mutation

abstract:
  Using graphical methods based on a `lookdown' and pruned version of the {\em
ancestral selection graph}, we obtain a representation of the type distribution
of the ancestor in a two-type Wright-Fisher population with mutation and
selection, conditional on the overall type frequency in the old population.
This extends results from Lenz, Kluth, Baake, and Wakolbinger (Theor. Pop.
Biol., 103 (2015), 27-37) to the case of heavy-tailed offspring, directed by a
reproduction measure $\Lambda$. The representation is in terms of the
equilibrium tail probabilities of the line-counting process $L$ of the graph.
We identify a strong pathwise Siegmund dual of $L$, and characterise the
equilibrium tail probabilities of $L$ in terms of hitting probabilities of the
dual process.


title: Movability and co-movability of shape morphisms

abstract:
  The purpose of this paper is to define some notions of movability for
morphisms of inverse systems which extend the movability properties of inverse
systems and which are compatible with the equivalence relations which define
pro-morphisms and shape morphisms. Some properties, examples and applications
are given.


title: Effects of losses in the hybrid atom-light interferometer

abstract:
  Enhanced Raman scattering can be obtained by injecting a seeded light field
which is correlated with the initially prepared collective atomic excitation.
This Raman amplification process can be used to realize atom-light hybrid
interferometer. We numerically calculate the phase sensitivities and the
signal-to-noise ratios of this interferometer with the method of homodyne
detection and intensity detection, and give their differences between this two
methods. In the presence of loss of light field and atomic decoherence the
measure precision will be reduced which can be explained by the break of the
intermode decorrelation conditions of output modes


title:
Bragg-Williams approximation for the dynamics of prey-predator
  biological associations

abstract:
  The dynamics of an association of interactive biological species is studied
theoretically. We explore a mean field approximation to describe the temporal
evolution of an ecological system with the basic prey-predator interspecies
relation, as well as an approximation to introduce time correlations in the
dynamics. We start by discussing the solution of the Volterra-Lotka model in a
mean field approximation based in an analogy with the Weiss solution to the
Ising model for ferromagnetic materials. In order to explore the effects of
long-range time correlations, we describe the time evolution of the system
within a kind of Bragg-Williams approximation. This approach allows us to
evaluate a characteristic life-time of the ecosystem. This quantity could be
very useful to discuss the time evolution of the system under a wide diversity
of environmental conditions of the ecosystem which is not usually considered.
We discuss the general trends of the temporal evolution of the association with
some data from real ecosystems.


title: Measure-theoretical properties of center foliations

abstract:
  Center foliations of partially hyperbolic diffeomorphisms may exhibit
pathological behavior from a measure-theoretical viewpoint: quite often, the
disintegration of the ambient volume measure along the center leaves consists
of atomic measures. We add to this theory by constructing stable examples for
which the disintegration is singular without being atomic. In the context of
diffeomorphisms with mostly contracting center direction, for which upper
leafwise absolute continuity is known to hold, we provide examples where the
center foliation is not lower leafwise absolutely continuous.


title: A short proof that $O_2$ is an MCFL

abstract:
  We present a new proof that $O_2$ is a multiple context-free language. It
contrasts with a recent proof by Salvati (2015) in its avoidance of concepts
that seem specific to two-dimensional geometry, such as the complex exponential
function. Our simple proof creates realistic prospects of widening the results
to higher dimensions. This finding is of central importance to the relation
between extreme free word order and classes of grammars used to describe the
syntax of natural language.


title:
Experimental approval of the extended flat bands and gapped subbands in
  rhombohedral multilayer graphene

abstract:
  Graphene layers are known to stack in two stable configurations, namely ABA
or ABC stacking, with drastically distinct electronic properties. Unlike the
ABA stacking, little has been done to experimentally investigate the electronic
properties of ABC graphene multilayers. Here, we report the first magneto
optical study of a large ABC domain in a graphene multilayers flake, with ABC
sequences exceeding 17 graphene sheets. The ABC-stacked multilayers can be
fingerprinted with a characteristic electronic Raman scattering response, which
persists even at room temperatures. Tracing the magnetic field evolution of the
inter Landau level excitations from this domain gives strong evidence to the
existence of a dispersionless electronic band near the Fermi level,
characteristic of such stacking. Our findings present a simple yet powerful
approach to probe ABC stacking in graphene multilayer flakes, where this highly
degenerated band appears as an appealing candidate to host strongly correlated
states.


title:
Measurements of $d_{2}^{n}$ and $A_{1}^{n}$: Probing the neutron spin
  structure

abstract:
  We report on the results of the E06-014 experiment performed at Jefferson Lab
in Hall A, where a precision measurement of the twist-3 matrix element $d_2$ of
the neutron ($d_{2}^{n}$) was conducted. This quantity represents the average
color Lorentz force a struck quark experiences in a deep inelastic electron
scattering event off a neutron due to its interaction with the hadronizing
remnants. This color force was determined from a linear combination of the
third moments of the spin structure functions $g_1$ and $g_2$ on $^{3}$He after
nuclear corrections had been applied to these moments. The kinematics included
two average $Q^{2}$ bins of $3.2$ GeV$^{2}$ and $4.3$ GeV$^{2}$, and
Bjorken-$x$ $0.25 \leq x \leq 0.90$ covering the DIS and resonance regions. We
found $d_2^n$ to be small and negative for $<Q^{2}> = 3.2$ GeV$^{2}$, and
smaller for $<Q^{2}> = 4.3$ GeV$^{2}$, consistent with a lattice QCD
calculation. The twist-4 matrix element $f_{2}^{n}$ was extracted by combining
our $d_{2}^{n}$ with the world data on $\Gamma_{1}^{n} = \int_{0}^{1} g_{1}^{n}
dx$. We found $f_{2}^{n}$ to be roughly an order of magnitude larger than
$d_{2}^{n}$. Utilizing the extracted $d_{2}^{n}$ and $f_{2}^{n}$ data, we
separated the color force into its electric and magnetic components,
$F_{E}^{y,n}$ and $F_{B}^{y,n}$, and found them to be equal and opposite in
magnitude, in agreement with instanton model predictions but not with those
from QCD sum rules. Additionally, we have extracted the neutron virtual
photon-nucleon asymmetry $A_{1}^{n}$, the structure function ratio
$g_{1}^{n}/F_{1}^{n}$, and the quark ratios $(\Delta u + \Delta \bar{u})/(u +
\bar{u})$ and $(\Delta d + \Delta \bar{d})/(d + \bar{d})$. These results were
found to be consistent with DIS world data and with the prediction of the
constituent quark model but at odds with those of perturbative QCD at large
$x$.


title:
Moving Closer to the Collapse of a Massless Scalar Field in Spherically
  Symmetric Anti-de Sitter Spacetimes

abstract:
  We present a new hybrid Cauchy-characteristic evolution method that is
particularly suited for the study of gravitational collapse in
spherically-symmetric asymptotically (global) Anti-de Sitter (AdS) spacetimes.
The Cauchy evolution allows us to track the scalar field through the different
bounces off the AdS boundary while the characteristic method can bring us very
close to the point of formation of an apparent horizon. Here, we describe all
the details of the method, including the transition between the two evolution
schemes and the details of the numerical implementation for the case of
massless scalar fields. We use this scheme to provide more numerical evidence
for a recent conjecture on the power-law scaling of the apparent horizon mass
resulting from the collapse of subcritical configurations. We also compute the
critical exponents and echoing periods for a number of critical points and
confirm the expectation that their values should be the same as in the
asymptotically-flat case.


title: Packing and counting arbitrary Hamilton cycles in random digraphs

abstract:
  We prove packing and counting theorems for arbitrarily oriented Hamilton
cycles in ${\cal D}(n,p)$ for nearly optimal $p$ (up to a $\log ^cn$ factor).
In particular, we show that given $t = (1-o(1))np$ Hamilton cycles $C_1,\ldots
,C_{t}$, each of which is oriented arbitrarily, a digraph $D \sim {\cal
D}(n,p)$ w.h.p. contains edge disjoint copies of $C_1,\ldots ,C_t$, provided
$p=\omega(\log ^3 n/n)$. We also show that given an arbitrarily oriented
$n$-vertex cycle $C$, a random digraph $D \sim {\cal D}(n,p)$ w.h.p. contains
$(1\pm o(1))n!p^n$ copies of $C$, provided $p \geq \log ^{1 + o(1)}n/n$.


title:
Gel'fand-Zetlin basis for a class of representations of the Lie
  superalgebra gl(\infty|\infty)

abstract:
  A new, so called odd Gel'fand-Zetlin basis is introduced for the irreducible
covariant tensor representations of the Lie superalgebra gl(n|n). The related
Gel'fand-Zetlin patterns are based upon the decomposition according to a
particular chain of subalgebras of gl(n|n). This chain contains only genuine
Lie superalgebras of type gl(k|l) with k and l nonzero (apart from the final
element of the chain which is gl(1|0)=gl(1)). Explicit expressions for a set of
generators of the algebra on this Gel'fand-Zetlin basis are determined. The
results are extended to an explicit construction of a class of irreducible
highest weight modules of the general linear Lie superalgebra
gl(\infty|\infty).


title: On the normalized Shannon capacity of a union

abstract:
  Let $G_1 \times G_2$ denote the strong product of graphs $G_1$ and $G_2$,
i.e. the graph on $V(G_1) \times V(G_2)$ in which $(u_1,u_2)$ and $(v_1,v_2)$
are adjacent if for each $i=1,2$ we have $u_i=v_i$ or $u_iv_i \in E(G_i)$. The
Shannon capacity of $G$ is $c(G) = \lim_{n\to \infty} \alpha (G^n)^{1/n}$,
where $G^n$ denotes the $n$-fold strong power of $G$, and $\alpha (H)$ denotes
the independence number of a graph $H$. The normalized Shannon capacity of $G$
is $C(G) = \frac {\log c(G)}{\log |V(G)|}$. Alon asked whether for every
$\epsilon > 0$ there are graphs $G$ and $G'$ satisfying $C(G), C(G') <
\epsilon$ but with $C(G + G') > 1 - \epsilon $. We show that the answer is no.


title:
Phase dependence of the unnormalized second-order photon correlation
  function

abstract:
  We investigate the resonant quantum dynamics of a multi-qubit ensemble in a
microcavity. Both the quantum-dot subsystem and the microcavity mode are pumped
coherently. We found that the microcavity photon statistics depends on the
phase difference of the driving lasers which is not the case for the photon
intensity at resonant driving. This way, one can manipulate the two-photon
correlations. In particular, higher degrees of photon correlations and,
eventually, stronger intensities are obtained. Furthermore, the microcavity
photon statistics exhibits steady-state oscillatory behaviors as well as
asymmetries.


title:
$L_{2,\mathbb{Z}} \otimes L_{2,\mathbb{Z}}$ does not embed in
  $L_{2,\mathbb{Z}}$

abstract:
  For a commutative ring $R$ with unit we investigate the embedding of tensor
product algebras into the Leavitt algebra $L_{2,R}$. We show that the tensor
product $L_{2,\mathbb{Z}}\otimes L_{2,\mathbb{Z}}$ does not embed in
$L_{2,\mathbb{Z}}$ (as a unital $*$-algebra). We also prove a partial
non-embedding result for the more general $L_{2,R} \otimes L_{2,R}$. Our
techniques rely on realising Thompson's group $V$ as a subgroup of the unitary
group of $L_{2,R}$.


title:
Regime-switching diffusion processes: strong solutions and strong Feller
  property

abstract:
  We investigate the existence and uniqueness of strong solutions up to an
explosion time for regime-switching diffusion processes in an infinite state
space. Instead of concrete conditions on coefficients, our existence and
uniqueness result is established under the general assumption that the
diffusion in every fixed environment has a unique non-explosive strong
solution. Moreover, non-explosion conditions for regime-switching diffusion
processes are given. The strong Feller property is proved by further assuming
that the diffusion in every fixed environment generates a strong Feller
semigroup.


title: Nonlinear Chiral Transport Phenomena

abstract:
  We study the nonlinear responses of relativistic chiral matter to the
external fields, such as the electric field ${\bf E}$, gradients of temperature
and chemical potential, ${\bf \nabla} T$ and ${\bf \nabla} \mu$. Using the
kinetic theory with Berry curvature corrections under the relaxation time
approximation, we compute the transport coefficients of possible new electric
currents that are forbidden in usual chirally symmetric matter, but are allowed
in chirally asymmetric matter by parity. In particular, we find a new type of
electric current proportional to ${\bf \nabla} \mu \times {\bf E}$ due to the
interplay between the effects of the Berry curvature and collisions. We also
derive an analogue of the "Wiedemann-Franz" law specific for anomalous
nonlinear transport in relativistic chiral matter.


title: Classical and Relative Realizability

abstract:
  We show that every abstract Krivine structure in the sense of Streicher can
be obtained, up to equivalence of the resulting tripos, from a filtered opca
(A,A') and a subobject of 1 in the relative realizability topos RT(A',A); the
topos is always a Booleanization of a closed subtopos of RT(A',A). We exhibit a
range of non-localic Boolean subtoposes of the Kleene-Vesley topos.


title:
A note on the equivalence of some metric, non-Newtonian and
  multiplicative metric results

abstract:
  In this short note is on the equivalence between non-Newtonian metric
(particularly multiplicative metric) and metric. We present a different proof
the fact that the notion of a non-Newtonian metric space is not more general
than that of a metric space. Also, we emphasize that a lot of fixed point
results in the non-Newtonian metric setting can be directly obtained from their
metric counterparts.


title:
Measurement-device-independent quantum key distribution with nitrogen
  vacancy centers in diamond

abstract:
  Memory-assisted measurement-device-independent quantum key distribution
(MA-MDI-QKD) has recently been proposed as a possible intermediate step towards
the realization of quantum repeaters. Despite its relaxing some of the
requirements on quantum memories, the choice of memory in relation to the
layout of the setup and the protocol has a stark effect on our ability to beat
existing no-memory systems. Here, we investigate the suitability of nitrogen
vacancy (NV) centers, as quantum memories, in MA-MDI-QKD. We particularly show
that moderate cavity enhancement is required for NV centers if we want to
outperform no-memory QKD systems. Using system parameters mostly achievable by
today's state of the art, we then anticipate some total key rate advantage in
the distance range between 300 km and 500 km for cavity-enhanced NV centers.
Our analysis accounts for major sources of error including the dark current,
the channel loss, and the decoherence of the quantum memories.


title:
A consensus-based secondary control layer for stable current sharing and
  voltage balancing in DC microgrids

abstract:
  In this paper, we propose a secondary consensus-based control layer for
current sharing and voltage balancing in DC microGrids (mGs). To this purpose,
we assume that Distributed Generation Units (DGUs) are equipped with
decentralized primary controllers guaranteeing voltage stability. This goal can
be achieved using, for instance, Plug-and-Play (PnP) regulators. We analyze the
behavior of the closed-loop mG by approximating local primary control loops
with either unitary gains or first-order transfer functions. Besides proving
exponential stability, current sharing, and voltage balancing, we describe how
to design secondary controllers in a PnP fashion when DGUs are added or
removed. Theoretical results are complemented by simulations, using a 7-DGUs mG
implemented in Simulink/PLECS, and experiments on a 3-DGUs mG.


title: Mineralogy and Geology of asteroid (4) Vesta from Dawn Framing Camera

abstract:
  This thesis presents insights into the surface compositional heterogeneity
and geology of asteroid Vesta. Lithologic mapping using Framing Camera onboard
the NASA Dawn spacecraft revealed that the majority of the surface is
howarditic in composition (Thangjam et al. 2013). An important outcome of this
thesis is identification of olivine-rich exposures for the first time using FC
color data (Thangjam et al., 2014). Another significant contribution from this
thesis is an innovative three-dimensional approach of spectral analysis that
could be used to study surface compositional heterogeneity of Vesta (Thangjam
et al., 2016). The three band parameter space with defined polyhedrons is more
advanced and robust compared to the generally used two-dimensional spectral
analysis i.e., two band parameter space. A revised petrologic evolution model
is presented to explain the ongoing problem of missing olivine-rich mantle of
Vesta and also the petrogenesis of HED meteorites (howardite, eucrite,
diogenite clan of stony achondrites).


title: Describing variations of the Fisher-matrix across parameter space

abstract:
  Forecasts in cosmology, both with Monte-Carlo Markov-chain methods and with
the Fisher matrix formalism, depend on the choice of the fiducial model because
both the signal strength of any observable as well as the model nonlinearities
linking observables to cosmological parameters vary in the general case. In
this paper we propose a method for extrapolating Fisher-forecasts across the
space of cosmological parameters by constructing a suitable ba- sis. We
demonstrate the validity of our method with constraints on a standard dark
energy model extrapolated from a {\Lambda}CDM-model, as can be expected from
2-bin weak lensing to- mography with a Euclid-like survey, in the parameter
pairs $(\Omega_\text{m},\sigma_8)$, $(\Omega_\text{m}, w_0)$ and $(w_0,
w_\text{a})$. Our numerical results include very accurate extrapolations across
a wide range of cosmo- logical parameters in terms of shape, size and
orientation of the parameter likelihood, and a decomposition of the change of
the likelihood contours into modes, which are straightforward to interpret in a
geometrical way. We find that in particular the variation of the dark energy
figure of merit is well captured by our formalism.


title:
Learning from Imbalanced Multiclass Sequential Data Streams Using
  Dynamically Weighted Conditional Random Fields

abstract:
  The present study introduces a method for improving the classification
performance of imbalanced multiclass data streams from wireless body worn
sensors. Data imbalance is an inherent problem in activity recognition caused
by the irregular time distribution of activities, which are sequential and
dependent on previous movements. We use conditional random fields (CRF), a
graphical model for structured classification, to take advantage of
dependencies between activities in a sequence. However, CRFs do not consider
the negative effects of class imbalance during training. We propose a
class-wise dynamically weighted CRF (dWCRF) where weights are automatically
determined during training by maximizing the expected overall F-score. Our
results based on three case studies from a healthcare application using a
batteryless body worn sensor, demonstrate that our method, in general, improves
overall and minority class F-score when compared to other CRF based classifiers
and achieves similar or better overall and class-wise performance when compared
to SVM based classifiers under conditions of limited training data. We also
confirm the performance of our approach using an additional battery powered
body worn sensor dataset, achieving similar results in cases of high class
imbalance.


title:
Time-dependent spin and transport properties of a single-molecule magnet
  in a tunnel junction

abstract:
  In single-molecule magnets, the exchange between a localized spin moment and
the electronic background provides a suitable laboratory for studies of
dynamical aspects of both local spin and transport properties. Here we address
the time evolution of a localized spin moment coupled to an electronic level in
a molecular quantum dot embedded in a tunnel junction between metallic leads.
The interactions between the localized spin moment and the electronic level
generate an effective interaction between the spin moment at different
instances in time. Therefore, we show that, despite being a single-spin system,
there are effective contributions of isotropic Heisenberg, and anisotropic
Ising and Dzyaloshinski-Moriya character acting on the spin moment. The
interactions can be controlled by gate voltage, voltage bias, the spin
polarization in the leads, in addition to external magnetic fields. Signatures
of the spin dynamics are found in the transport properties of the tunneling
system, and we demonstrate that measurements of the spin current may be used
for read-out of the local spin moment orientation.


title:
Square Root Graphical Models: Multivariate Generalizations of Univariate
  Exponential Families that Permit Positive Dependencies

abstract:
  We develop Square Root Graphical Models (SQR), a novel class of parametric
graphical models that provides multivariate generalizations of univariate
exponential family distributions. Previous multivariate graphical models [Yang
et al. 2015] did not allow positive dependencies for the exponential and
Poisson generalizations. However, in many real-world datasets, variables
clearly have positive dependencies. For example, the airport delay time in New
York---modeled as an exponential distribution---is positively related to the
delay time in Boston. With this motivation, we give an example of our model
class derived from the univariate exponential distribution that allows for
almost arbitrary positive and negative dependencies with only a mild condition
on the parameter matrix---a condition akin to the positive definiteness of the
Gaussian covariance matrix. Our Poisson generalization allows for both positive
and negative dependencies without any constraints on the parameter values. We
also develop parameter estimation methods using node-wise regressions with
$\ell_1$ regularization and likelihood approximation methods using sampling.
Finally, we demonstrate our exponential generalization on a synthetic dataset
and a real-world dataset of airport delay times.


title:
Resonances in the continuum, field induced nonstationary states, and the
  state and property specific treatment of the many electron problem

abstract:
  The paper summarizes elements of theories and computational methods that we
have constructed and applied over the years for the nonperturbative solution of
many electron problems, in the absence or presence of strong external fields,
concerning resonance and nonstationary states with a variety of electronic
structures.


title: Lubin's conjecture for full $p$-adic dynamical systems

abstract:
  We give a short proof of a conjecture of Lubin concerning certain families of
$p$-adic power series that commute under composition. We prove that if the
family is full (large enough), there exists a Lubin-Tate formal group such that
all the power series in the family are endomorphisms of this group. The proof
uses ramification theory and some $p$-adic Hodge theory.


title:
Pseudoscalar top-Higgs coupling: Exploration of $\mathrm{CP}$-odd
  observables to resolve the sign ambiguity

abstract:
  We present a collection of $\mathrm{CP}$-odd observables for the process
$pp\to t\,\left(\rightarrow b {\ell}^+ \nu_{\ell}\right)
\bar{t}\,\left(\rightarrow \bar{b} {\ell}^-{\bar{\nu}}_{\ell}\right)\,H$ that
are linearly dependent on the scalar ($\kappa_t$) and pseudoscalar
($\tilde{\kappa}_t$) top-Higgs coupling and hence sensitive to the
corresponding relative sign. The proposed observables are based on triple
product (TP) correlations that we extract from the expression for the
differential cross section in terms of the spin vectors of the top and antitop
quarks. In order to explore other possibilities, we progressively modify these
TPs, first by combining them, and then by replacing the spin vectors by the
lepton momenta or the $t$ and $\bar{t}$ momenta by their visible parts. We
generate Monte Carlo data sets for several benchmark scenarios, including the
Standard Model ($\kappa_t=1$, $\tilde{\kappa}_t=0$) and two scenarios with
mixed $\mathrm{CP}$ properties ($\kappa_t=1$, $\tilde{\kappa}_t=\pm 1$).
Assuming an integrated luminosity that is consistent with that envisioned for
the High Luminosity Large Hadron Collider, using Monte Carlo-truth and taking
into account only statistical uncertainties, we find that the most promising
observable can disentangle the "$\mathrm{CP}$-mixed" scenarios with an
effective separation of $\sim 19\sigma$. In the case of observables that do not
require the reconstruction of the $t$ and $\bar{t}$ momenta, the power of
discrimination is up to $\sim 13\sigma$ for the same number of events. We also
show that the most promising observables can still disentangle the
$\mathrm{CP}$-mixed scenarios when the number of events is reduced to values
consistent with expectations for the Large Hadron Collider in the near term.


title:
Nonequilibrium Carrier Dynamics in Transition Metal Dichalcogenide
  Semiconductors

abstract:
  When exploring new materials for their potential in (opto)electronic device
applications, it is important to understand the role of various carrier
interaction and scattering processes. Research on transition metal
dichalcogenide (TMD) semiconductors has recently progressed towards the
realisation of working devices, which involve light-emitting diodes, nanocavity
lasers, and single-photon emitters. In these two-dimensional atomically thin
semiconductors, the Coulomb interaction is known to be much stronger than in
quantum wells of conventional semiconductors like GaAs, as witnessed by the 50
times larger exciton binding energy. The question arises, whether this directly
translates into equivalently faster carrier-carrier Coulomb scattering of
excited carriers. Here we show that a combination of ab-initio band-structure
and many-body theory predicts carrier relaxation on a 50-fs time scale, which
is less than an order of magnitude faster than in quantum wells. These
scattering times compete with the recently reported sub-ps exciton
recombination times, thus making it harder to achieve population inversion and
lasing.


title:
A Semidefinite Hierarchy for Disjointly Constrained Multilinear
  Programming

abstract:
  Disjointly constrained multilinear programming concerns the problem of
maximizing a multilinear function on the product of finitely many disjoint
polyhedra. While maximizing a linear function on a polytope (linear
programming) is known to be solvable in polynomial time, even bilinear
programming is NP-hard. Based on a reformulation of the problem in terms of
sum-of-squares polynomials, we study a hierarchy of semidefinite relaxations to
the problem. It follows from the general theory that the sequence of optimal
values converges asymptotically to the optimal value of the multilinear
program. We show that the semidefinite hierarchy converges generically in
finitely many steps to the optimal value of the multilinear problem. We outline
two applications of the main result. For nondegenerate bimatrix games, a Nash
equilibrium can be computed by the sum of squares approach in finitely many
steps. Under an additional geometric condition, the NP-complete containment
problem for projections of $\mathcal{H}$-polytopes can be decided in finitely
many steps.


title: Powering the Internet of Things with RIOT: Why? How? What is RIOT?

abstract:
  The crucial importance of software platforms was highlighted by recent events
both at the political level (e.g. renewed calls for digital data and operating
system "sovereignty", following E. Snowden's revelations) and at the business
level (e.g. Android generated a new industry worth tens of billions of euros
yearly). In the Internet of Things, which is expected to generate business at
very large scale, but also to threaten even more individual privacy, such
aspects will be exacerbated. The need for an operating system like RIOT stems
from this context, and this short article outlines RIOT's main non-technical
aspects, as well as its key technical characteristics.


title: Reconfigurable quadruple quantum dots in a silicon nanowire transistor

abstract:
  We present a novel reconfigurable metal-oxide-semiconductor multi-gate
transistor that can host a quadruple quantum dot in silicon. The device consist
of an industrial quadruple-gate silicon nanowire field-effect transistor.
Exploiting the corner effect, we study the versatility of the structure in the
single quantum dot and the serial double quantum dot regimes and extract the
relevant capacitance parameters. We address the fabrication variability of the
quadruple-gate approach which, paired with improved silicon fabrication
techniques, makes the corner state quantum dot approach a promising candidate
for a scalable quantum information architecture.


title:
Quadratic backward stochastic differential equations driven by
  $G$-Brownian motion: discrete solutions and approximation

abstract:
  In this paper, we consider backward stochastic differential equations driven
by $G$-Brownian motion (GBSDEs) under quadratic assumptions on coefficients. We
prove the existence and uniqueness of solution for such equations. On the one
hand, a priori estimates are obtained by applying the Girsanov type theorem in
the $G$-framework, from which we deduce the uniqueness. On the other hand, to
prove the existence of solutions, we first construct solutions for discrete
GBSDEs by solving corresponding fully nonlinear PDEs, and then approximate
solutions for general quadratic GBSDEs in Banach spaces.


title:
Pion-nucleon scattering in covariant baryon chiral perturbation theory
  with explicit Delta resonances

abstract:
  We present the results of a third order calculation of the pion-nucleon
scattering amplitude in a chiral effective field theory with pions, nucleons
and delta resonances as explicit degrees of freedom. We work in a manifestly
Lorentz invariant formulation of baryon chiral perturbation theory using
dimensional regularization and the extended on-mass-shell renormalization
scheme. In the delta resonance sector, the on mass-shell renormalization is
realized as a complex-mass scheme. By fitting the low-energy constants of the
effective Lagrangian to the $S$- and $P$-partial waves a satisfactory
description of the phase shifts from the analysis of the Roy-Steiner equations
is obtained. We predict the phase shifts for the $D$ and $F$ waves and compare
them with the results of the analysis of the George Washington University
group. The threshold parameters are calculated both in the delta-less and
delta-full cases. Based on the determined low-energy constants, we discuss the
pion-nucleon sigma term. Additionally, in order to determine the strangeness
content of the nucleon, we calculate the octet baryon masses in the presence of
decuplet resonances up to next-to-next-to-leading order in SU(3) baryon chiral
perturbation theory. The octet baryon sigma terms are predicted as a byproduct
of this calculation.


title: Holomorphic isometries from the unit ball into symmetric domains

abstract:
  We construct isometric holomorphic embeddings of the unit ball into higher
rank symmetric domains, first discovered by Mok, in an explicit way using
Jordan triple systems, and prove uniqueness results for all domains, including
the exceptional domains of dimension 16 and 27.


title: Sequential Clustering for Functional Data

abstract:
  This paper presents SeqClusFD, a top-down sequential clustering method for
functional data. The clustering algorithm extracts the splitting information
either from trajectories, first or second derivatives. Initial partition is
based on gap statistic that provides local information to identify the instant
with more clustering evidence in trajectories or derivatives. Then functional
boxplots allow reconsidering overall allocation and each observation is finally
assigned to the cluster where it spends most of the time within whiskers. These
local and global searches are repeated recursively until there is no evidence
of clustering at any time on trajectories or first and second derivatives.
SeqClusFD simultaneously estimates the number of groups and provides data
allocation. It also provides valuable information about the most important
features that determine cluster structure. Computational aspects have been
analyzed and the new method is tested on synthetic and real data sets.


title:
The equivalence of weak and very weak supersolutions to the porous
  medium equation

abstract:
  We prove that various notions of supersolutions to the porous medium equation
are equivalent under suitable conditions. More spesifically, we consider weak
supersolutions, very weak supersolutions, and $m$-superporous functions defined
via a comparison principle. The proofs are based on comparison principles and a
Schwarz type alternating method, which are also interesting in their own right.
Along the way, we show that Perron solutions with merely continuous boundary
values are continuous up to the parabolic boundary of a sufficiently smooth
space-time cylinder.


title:
Strong Local Nondeterminism and Exact Modulus of Continuity for
  Spherical Gaussian Fields

abstract:
  In this paper, we are concerned with sample path properties of isotropic
spherical Gaussian fields on $\S^2$. In particular, we establish the property
of strong local nondeterminism of an isotropic spherical Gaussian field based
on the high-frequency behaviour of its angular power spectrum; we then exploit
this result to establish an exact uniform modulus of continuity for its sample
paths. We also discuss the range of values of the spectral index for which the
sample functions exhibit fractal or smooth behaviour.


title: Large deviations principle for some beta-ensembles

abstract:
  Let L be a positive line bundle over a projective complex manifold X.
Consider the space of holomorphic sections of the tensor power of order p of L.
The determinant of a basis of this space, together with some given probability
measure on a weighted compact set in X, induces naturally a beta-ensemble,
i.e., a random point process on the compact set. Physically, this general
setting corresponds to a gas of free fermions in X and may admit some random
matrix models. The empirical measures, associated with such beta-ensembles,
converge almost surely to an equilibrium measure when p goes to infinity. We
establish a large deviations principle (LDP) with an effective speed of
convergence for these empirical measures. Our study covers the case of some
beta-ensembles on a compact subset of a real sphere or of a real Euclidean
space.


title: Extending Topological Surgery to Natural Processes and Dynamical Systems

abstract:
  Topological surgery is a mathematical technique used for creating new
manifolds out of known ones. We observe that it occurs in natural phenomena
where a sphere of dimension 0 or 1 is selected, forces are applied and the
manifold in which they occur changes type. For example, 1-dimensional surgery
happens during chromosomal crossover, DNA recombination and when cosmic
magnetic lines reconnect, while 2-dimensional surgery happens in the formation
of tornadoes, in the phenomenon of Falaco solitons, in drop coalescence and in
the cell mitosis. Inspired by such phenomena, we introduce new theoretical
concepts which enhance topological surgery with the observed forces and
dynamics. To do this, we first extend the formal definition to a continuous
process caused by local forces. Next, for modeling phenomena which do not
happen on arcs or surfaces but are 2-dimensional or 3-dimensional, we fill in
the interior space by defining the notion of solid topological surgery. We
further introduce the notion of embedded surgery in $S^3$ for modeling
phenomena which involve more intrinsically the ambient space, such as the
appearance of knotting in DNA and phenomena where the causes and effect of the
process lies beyond the initial manifold, such as the formation of black holes.
Finally, we connect these new theoretical concepts with a dynamical system and
we present it as a model for both 2-dimensional 0-surgery and natural phenomena
exhibiting a `hole drilling' behavior. We hope that through this study,
topology and dynamics of many natural phenomena, as well as topological surgery
itself, will be better understood.


title:
Mobile-service based Max-Min Fairness Resource Scheduling for
  Heterogeneous Vehicular Networks

abstract:
  This paper investigates the resource scheduling for heterogeneous vehicular
networks, where some moving vehicles are selected and scheduled as helping
relays to assist information transmission between the roadside infrastructure
and other moving vehicles. For such a system, we propose a mobile-service based
max-min fairness resource scheduling scheme, where service amount which is more
suitable for high mobility scenarios is adopted to characterize the information
transmission capacity of the links and the max-min criteria is adopted to meet
the fairness requirement of the moving vehicles. Simulation results demonstrate
the effectiveness of our proposed scheme. It is shown that our proposed scheme
archives higher throughput and better fairness compared with random scheduling
scheme and non relaying scheme.


title: Detection of H3+ auroral emission in Jupiter's 5-micron window

abstract:
  We use high-resolution ground-based observations from the VLT CRIRES
instrument in December 2012 to identify sixteen previously undetected H3+
emission lines from Jupiter's ionosphere. These emission lines are located in
Jupiter's 5-micron window (4.5-5.2 {\mu}m), an optically-thin region of the
planet's spectrum where the radiation mostly originates from the deep
troposphere. The H3+ emission lines are so strong that they are visible even
against this bright background. We measure the Doppler broadening of the H3+
emission lines in order to evaluate the kinetic temperature of the molecules,
and we obtain a value of 1390$\pm$160 K. We also measure the relative
intensities of lines in the {\nu}2 fundamental in order to calculate the
rotational temperature, obtaining a value of 960$\pm$40 K. Finally, we use the
detection of an emission line from the 2{\nu}2(2)-{\nu}2 overtone to measure a
vibrational temperature of 925$\pm$25 K. We use these three independent
temperature estimates to discuss the thermodynamic equilibrium of Jupiter's
ionosphere.


title:
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations
  of the metric

abstract:
  We prove that the Atiyah-Singer Dirac operator ${\mathrm D}_{\mathrm g}$ in
${\mathrm L}^2$ depends Riesz continuously on ${\mathrm L}^{\infty}$
perturbations of complete metrics ${\mathrm g}$ on a smooth manifold. The
Lipschitz bound for the map ${\mathrm g} \to {\mathrm D}_{\mathrm g}(1 +
{\mathrm D}_{\mathrm g}^2)^{-\frac{1}{2}}$ depends on bounds on Ricci curvature
and its first derivatives as well as a lower bound on injectivity radius. Our
proof uses harmonic analysis techniques related to Calder\'on's first
commutator and the Kato square root problem. We also show perturbation results
for more general functions of general Dirac-type operators on vector bundles.


title:
Steady accretion of an elastic body on a hard spherical surface and the
  notion of a four-dimensional reference space

abstract:
  Taking the cue from experiments on actin growth on spherical beads, we
formulate and solve a model problem describing the accretion of an
incompressible elastic solid on a rigid sphere due to attachment of diffusing
free particles. One of the peculiar characteristics of this problem is that
accretion takes place on the interior surface that separates the body from its
support rather than on its exterior surface, and hence is responsible for
stress accumulation. Simultaneously, ablation takes place at the outer surface
where material is removed from the body. As the body grows, mechanical effects
associated with the build-up of stress and strain energy slow down accretion
and promote ablation. Eventually, the system reaches a point where internal
accretion is balanced by external ablation. The present study is concerned with
this stationary regime called "treadmilling".
  The principal ingredients of our model are: a nonstandard choice of the
reference configuration, which allows us to cope with the continually evolving
material structure; and a driving force and a kinetic law for
accretion/ablation that involves the difference in chemical potential, strain
energy and the radial stress. By combining these ingredients we arrive at an
algebraic system which governs the stationary treadmilling state. We establish
the conditions under which this system has a solution and we show that this
solution is unique. Moreover, by an asymptotic analysis we show that for small
beads the thickness of the solid is proportional to the radius of the support
and is strongly affected by the stiffness of the solid, whereas for large beads
the stiffness of the solid is essentially irrelevant, the thickness being
proportional to a characteristic length that depends on the parameters that
govern diffusion and accretion kinetics.


title: A Bloch-Wigner exact sequence over local rings

abstract:
  In this article we extend the Bloch-Wigner exact sequence over local rings,
where their residue fields have more than nine elements. Moreover, we prove Van
der Kallen's theorem on the presentation of the second $K$-group of local rings
such that their residue fields have more than four elements. Note that Van der
Kallen proved this result when the residue fields have more than five elements.
Although we prove our results over local rings, all our proofs also work over
semilocal rings where all their residue fields have similar properties as the
residue field of local rings.


title: A Penalty Function Promoting Sparsity Within and Across Groups

abstract:
  We introduce a new weakly-convex penalty function for signals with a group
behavior. The penalty promotes signals with a few number of active groups,
where within each group, only a few high magnitude coefficients are active. We
derive the threshold function associated with the proposed penalty and study
its properties. We discuss how the proposed penalty/threshold function can be
useful for signals with isolated non-zeros, such as audio with isolated
harmonics along the frequency axis, or reflection functions in exploration
seismology where the non-zeros occur on the boundaries of subsoil layers. We
demonstrate the use of the proposed penalty/threshold functions in a convex
denoising and a non-convex deconvolution formulation. We provide convergent
algorithms for both formulations and compare the performance with
state-of-the-art methods.


title:
Instability of three-band Tomonaga-Luttinger liquid: renormalization
  group analysis and possible application to K2Cr3As3

abstract:
  Motivated by recently discovered quasi-one-dimensional superconductor
K$_{2}$Cr$_{3}$As$_{3}$ with $D_{3h}$ lattice symmetry, we study
one-dimensional three-orbital Hubbard model with generic electron repulsive
interaction described by intra-orbital repulsion $U$, inter-orbital repulsion,
and Hund's coupling $J$. As extracted from density functional theory
calculation, two of the three atomic orbitals are degenerate ($E^{\prime}$
states) and the third one is non-degenerate ($A^{\prime}_1$), and the system is
presumed to be at an incommensurate filling. With the help of bosonization, we
have usual three-band Tomonaga-Luttinger liquid for the normal state. Possible
charge density wave (CDW), spin density wave (SDW) and superconducting (SC)
instabilities are analyzed by renormalization group. The ground state depends
on the ratio $J/U$ and is sensitive to the degeneracy of $E^{\prime}$ bands. At
$0<J<U/3$, spin-singlet SC state is favored, while spin-triplet
superconductivity will be favored in the region $U/3<J<U/2$. The SDW state has
the lowest energy only in the unphysical parameter region $J>U/2$. When the
two-fold degeneracy of $E^{\prime}$ bands is lifted, SDW instability has the
tendency to dominate over the spin-singlet SC state at $0<J<U/3$, while the
order parameter of the spin-triplet SC state will be modulated by a phase
factor $2\Delta k_F x$ at $U/3<J<U/2$. Possible experimental consequences and
applications to K$_{2}$Cr$_{3}$As$_{3}$ are discussed.


title:
Quasi-periodicity and multi-scale resonators for the reduction of
  seismic vibrations in fluid-solid systems

abstract:
  This paper presents a mathematical model for an industry-inspired problem of
vibration isolation applied to elastic fluid-filled containers. A fundamental
problem of suppression of vibrations within a finite-width frequency interval
for a multi-scale fluid-solid system has been solved. We have developed a
systematic approach employing full fluid-solid interaction and dispersion
analysis, which can be applied to finite and periodic multi-scale systems. The
analytical findings are accompanied by numerical simulations, including
frequency response analyses and transient regime computations.


title:
RNA secondary structures having a compatible sequence of certain
  nucleotide ratios

abstract:
  Given a random RNA secondary structure, $S$, we study RNA sequences having
fixed ratios of nuclotides that are compatible with $S$. We perform this
analysis for RNA secondary structures subject to various base pairing rules and
minimum arc- and stack-length restrictions. Our main result reads as follows:
in the simplex of the nucleotide ratios there exists a convex region in which,
in the limit of long sequences, a random structure a.a.s.~has compatible
sequence with these ratios and outside of which a.a.s.~a random structure has
no such compatible sequence. We localize this region for RNA secondary
structures subject to various base pairing rules and minimum arc- and
stack-length restrictions. In particular, for {\bf GC}-sequences having a ratio
of {\bf G} nucleotides smaller than $1/3$, a random RNA secondary structure
without any minimum arc- and stack-length restrictions has a.a.s.~no such
compatible sequence. For sequences having a ratio of {\bf G} nucleotides larger
than $1/3$, a random RNA secondary structure has a.a.s. such compatible
sequences. We discuss our results in the context of various families of RNA
structures.


title:
Exploring cost-benefit analysis of research, development and innovation
  infrastructures: an evaluation framework

abstract:
  This paper presents the results and the lessons learned on how to apply
ex-ante CBQ for major RDI infrastructures by a team of economists and
scientists at the University of Milan and CSIL during a three-year research
project supported by a EIBURS grant of the European Investment Bank Institute.
Albeit the comprehensive conceptual framework presented in the paper builds on
principles firmly rooted in CBA tradition, their application to the RDI sector
is still in its infancy. So far, the model has been applied on two cases in
physics involving particle accelerators (the Large Hadron Collider, LHC, at
CERN and the National Centre for Oncological Treatment, CNAO, in Italy).


title: Direct tunneling delay time measurement in an optical lattice

abstract:
  We report on the measurement of the time required for a wave packet to tunnel
through the potential barriers of an optical lattice. The experiment is carried
out by loading adiabatically a Bose-Einstein condensate into a 1D optical
lattice. A sudden displacement of the lattice by a few tens of nm excites the
micromotion of the dipole mode. We then directly observe in momentum space the
splitting of the wave packet at the turning points and measure the delay
between the reflected and the tunneled packets for various initial
displacements. Using this atomic beam splitter twice, we realize a chain of
coherent micron-size Mach-Zehnder interferometers at the exit of which we get
essentially a wave packet with a negative momentum, a result opposite to the
prediction of classical physics.


title: Revealing Utilization at Internet Interconnection Points

abstract:
  Recent Internet interconnection disputes have sparked an in- creased interest
in developing methods for gathering and collecting data about utilization at
interconnection points. One mechanism, developed by DeepField Networks, allows
Internet service providers (ISPs) to gather and aggregate utilization
information using network flow statistics, standardized in the Internet
Engineering Task Force as IPFIX. This report (1) provides an overview of the
method that DeepField Networks is using to measure the utilization of various
interconnection links between content providers and ISPs or links over which
traffic between content and ISPs flow; and (2) surveys the findings from five
months of Internet utilization data provided by seven participating
ISPs---Bright House Networks, Comcast, Cox, Mediacom, Midco, Suddenlink, and
Time Warner Cable---whose access networks represent about 50% of all U.S.
broadband subscribers. The dataset includes about 97% of the paid peering,
settlement-free peering, and ISP-paid transit links of each of the
participating ISPs. Initial analysis of the data---which comprises more than
1,000 link groups, representing the diverse and substitutable available
routes---suggests that many interconnects have significant spare capacity, that
this spare capacity exists both across ISPs in each region and in aggregate for
any individual ISP, and that the aggregate utilization across interconnects
interconnects is roughly 50% during peak periods.


title:
Efficient forward propagation of time-sequences in convolutional neural
  networks using Deep Shifting

abstract:
  When a Convolutional Neural Network is used for on-the-fly evaluation of
continuously updating time-sequences, many redundant convolution operations are
performed. We propose the method of Deep Shifting, which remembers previously
calculated results of convolution operations in order to minimize the number of
calculations. The reduction in complexity is at least a constant and in the
best case quadratic. We demonstrate that this method does indeed save
significant computation time in a practical implementation, especially when the
networks receives a large number of time-frames.


title: Mechanocaloric effects in Shape Memory Alloys

abstract:
  Shape memory alloys are a class of ferroic materials which undergo a
structural (martensitic) transition where the associated ferroic property is a
lattice distortion (strain). The sensitiveness of the transition to the
conjugated external field (stress), together with the latent heat of the
transition gives rise to giant mechanocaloric effects. In non-magnetic shape
memory alloys, the lattice distortion is mostly described by a pure shear and
the martensitic transition in this family of alloys is strongly affected by
uniaxial stress whereas it is basically insensitive to hydrostatic pressure. As
a result, non-magnetic alloys exhibit giant elastocaloric effects but
negligible barocaloric effects. By contrast, in a number of magnetic shape
memory alloys, the lattice distortion at the martensitic transition involves a
volume change in addition to the shear strain. Those alloys are affected by
both uniaxial stress and hydrostatic pressure and they exhibit giant
elastocaloric and barocaloric effects. The paper aims at providing a critical
survey of available experimental data on elastocaloric and barocaloric effects
in magnetic and non-magnetic shape memory alloys.