title:
Continuous-Time Distributed Algorithms for Extended Monotropic
  Optimization Problems

abstract:
  This paper studies distributed algorithms for the extended monotropic
optimization problem, which is a general convex optimization problem with a
certain separable structure. The considered objective function is the sum of
local convex functions assigned to agents in a multi-agent network, with
private set constraints and affine equality constraints. Each agent only knows
its local objective function, local constraint set, and neighbor information.
We propose two novel continuous-time distributed subgradient-based algorithms
with projected output feedback and derivative feedback, respectively, to solve
the extended monotropic optimization problem. Moreover, we show that the
algorithms converge to the optimal solutions under some mild conditions, by
virtue of variational inequalities, Lagrangian methods, decomposition methods,
and nonsmooth Lyapunov analysis. Finally, we give two examples to illustrate
the applications of the proposed algorithms.


title: Minimal Operator Norms via Minimal Theta Functions

abstract:
  We investigate sharp frame bounds of Gabor frames with chirped Gaussians and
rectangular lattices or, equivalently, the case of the standard Gaussian and
general lattices. We prove that for even redundancy and standard Gaussian
window the hexagonal lattice minimizes the upper frame bound using a result by
Montgomery on minimal theta functions.


title: Near-IR imaging towards a puzzling YSO precessing jet

abstract:
  At present there are many studies concerning jets towards low-mass young
stellar objects, while equivalent studies towards massive or intermediate-mass
young stellar objects are scarce. In a previous study, we found highly
misaligned molecular outflows towards the infrared point source IRS. Using
near-IR data acquired with Gemini-NIRI at the JHKs-broad-bands and narrow-bands
centered at the emission lines of [FeII], H2 1-0 S(1), H2 2-1 S(1), Br-gamma,
and CO 2-0 (bh), we studied the circumstellar environment of IRS with an
angular resolution between 0.35" and 0.45". The emission in the
JHKs-broad-bands shows, with great detail, the presence of a cone-like shape
nebula extending to the north/northeast of the point source, which appears to
be attached to it by a jet-like structure. In the three bands the nebula is
resolved in a twisted-shaped feature composed by two arc-like features and a
bow shock-like structure seen mainly in the Ks-band, which strongly suggests
the presence of a precessing jet. An analysis of proper motions based on our
Gemini observations and UKIDSS data gives additional support to the precession
scenario. We are presenting one of the best resolved cone-like nebula likely
related to a precessing jet up to date. The analysis of the observed
near-infrared lines shows that the H2 is collisionally excited, and the
spatially coincidence of the [FeII] and H2 emissions in the closer arc-like
feature suggests that this region is affected by a J-shock. The second arc-like
feature presents H2 emission without [FeII] which suggests the presence of a
nondisociative C-shock or a less energetic J-shock. The H2 1-0 S(1) continuum
subtracted image, reveals several knots and filaments at a larger spatial scale
around IRS, in perfect matching with the distribution of the red and
blueshifted molecular outflows discovered in our previous work.


title:
Investigation of Transport Properties for FeSe$_{1-x}$Te$_x$ Thin Films
  under Magnetic Fields

abstract:
  We investigated the transport properties under magnetic fields of up to 9 T
for FeSe$_{1-x}$Te$_x$ thin films on CaF$_2$. Measurements of the temperature
dependence of the electrical resistivity revealed that for $x = 0.2 - 0.4$,
where $T_{\rm c}$ is the highest, the width of the superconducting transition
increased with increasing magnetic field, while the width was almost the same
with increasing magnetic field for $x = 0 - 0.1$. In addition, the temperature
dependence of the Hall coefficient drastically changed between $x = 0.1$ and
$0.2$ at low temperatures. These results indicate that clear differences in the
nature of the superconductivity and electronic structure exist between
$x=0-0.1$ and $x \ge 0.2$.


title:
Superadiabatic forces in the dynamics of the one-dimensional Gaussian
  core model

abstract:
  Using Brownian dynamics computer simulations we investigate the dynamics of
the one-body density and one-body current in a one-dimensional system of
particles that interact with a repulsive Gaussian pair potential. We
systematically split the internal force distribution into an adiabatic part,
which originates from the equilibrium free energy, and a superadiabatic
contribution, which is neglected in dynamical density functional theory. We
find a strong dependence of the magnitude and phase of the superadiabatic force
distribution on the initial state of the system. While the magnitude of the
superadiabatic force is small if the system evolves from an equilibrium state
inside of a parabolic external potential, it is large for particles with
equidistant initial separations at high temperature. We analyze these findings
in the light of the known mean-field behavior of Gaussian core particles and
discuss a multi-occupancy mechanism which generates superadiabatic forces that
are out of phase with respect to the adiabatic force.


title: A note on sub-orthogonal lattices

abstract:
  It is shown that, given any $k$-dimensional lattice $\Lambda$, there is a
lattice sequence $\Lambda_w$, $w\in \mathbb Z$, with sub-orthogonal lattice
$\Lambda_o \subset \Lambda$, converging to $\Lambda$ (unless equivalence), also
we discuss the conditions for faster convergence.


title: On strictly nonzero integer-valued charges

abstract:
  A charge (finitely additive measure) defined on a Boolean algebra of sets
taking values in a group $G$ is called a strictly nonzero (SNZ) charge if it
takes the identity value in $G$ only for the zero element of the Boolean
algebra. A study of such charges was initiated by Rudiger G\"obel and K.P.S.
Bhaskara Rao in 2002.
  Our main result is a solution to one of the questions posed in that paper: we
show that for every cardinal $\aleph$, the Boolean algebra of clopen sets of
$\{0,1\}^\aleph$ has a strictly nonzero integer-valued charge. The key lemma
that we prove is that there exists a strictly nonzero integer-valued
permutation-invariant charge on the Boolean algebra of clopen sets of
$\{0,1\}^{\aleph_0}$. Our proof is based on linear-algebraic arguments, as well
as certain kinds of polynomial approximations of binomial coefficients.
  We also show that there is no integer-valued SNZ charge on
${\mathcal{P}}(N)$. Finally, we raise some interesting problems on
integer-valued SNZ charges.


title:
A boosted Kerr black hole solution and the structure of a general
  astrophysical black hole

abstract:
  A solution of Einstein's vacuum field equations that describes a boosted Kerr
black hole relative to an asymptotic Lorentz frame at the future null infinity
is derived. The solution has three parameters (mass, rotation and boost) and
corresponds to the most general configuration that an astrophysical black hole
must have; it reduces to the Kerr solution when the boost parameter is zero. In
this solution the ergosphere is north-south asymmetric, with dominant lobes in
the direction opposite to the boost. However the event horizon, the Cauchy
horizon and the ring singularity, which are the core of the black hole
structure, do not alter, being independent of the boost parameter. Possible
consequences for astrophysical processes connected with Penrose processes in
the asymmetric ergosphere are discussed.


title:
On totally umbilical isometric immersions with a special kind of
  Liouville metric in the R3 space

abstract:
  The aim of this short article is to investigate the possibility of existence
of totally umbilical isometric immersions in R^3 with isothermal
parametrization and harmonic metric.


title:
On Periodic Solutions to Some Lagrangian System With Two Degrees of
  Freedom

abstract:
  A Lagrangian system with two degrees of freedom is considered. The
configuration space of the system is a cylinder. A large class of periodic
solutions has been found. The solutions are not homotopy equivalent to each
other.


title: Uncertainty relation and inseparability criterion

abstract:
  We investigate the Peres-Horodecki positive partial transpose (PPT) criterion
in the context of conserved quantities and derive a condition of in-
separability for a composite bipartite system depending only on the dimen-
sions of its subsystems, which leads to a bi-linear entanglement witness for
the two qubit system. A separability inequality using generalized Schrodinger-
Robertson uncertainty relation taking suitable operators, has been derived,
which proves to be stronger than the bi-linear entanglement witness operator.
In the case of mixed density matrices, it identically distinguishes the
separable and non separable Werner states.


title:
Influence of yttrium iron garnet thickness and heater opacity on the
  nonlocal transport of electrically and thermally excited magnons

abstract:
  We studied the nonlocal transport behavior of both electrically and thermally
excited magnons in yttrium iron garnet (YIG) as a function of its thickness.
For electrically injected magnons, the nonlocal signals decrease monotonically
as the YIG thickness increases. For the nonlocal behavior of the thermally
generated magnons, or the nonlocal spin Seebeck effect (SSE), we observed a
sign reversal which occurs at a certain heater-detector distance, and it is
influenced by both the opacity of the YIG/heater interface and the YIG
thickness. Our nonlocal SSE results can be qualitatively explained by the
bulk-driven SSE mechanism together with the magnon diffusion model. Using a
two-dimensional finite element model (2D-FEM), we estimated the bulk spin
Seebeck coefficient of YIG at room temperature. The quantitative disagreement
between the experimental and modeled results indicates more complex processes
going on in addition to magnon diffusion and relaxation, especially close to
the contacts.


title: Normalized neural representations of natural odors

abstract:
  The olfactory system removes correlations in natural odors using a network of
inhibitory neurons in the olfactory bulb. It has been proposed that this
network integrates the response from all olfactory receptors and inhibits them
equally. However, how such global inhibition influences the neural
representations of odors is unclear. Here, we study a simple statistical model
of this situation, which leads to concentration-invariant, sparse
representations of the odor composition. We show that the inhibition strength
can be tuned to obtain sparse representations that are still useful to
discriminate odors that vary in relative concentration, size, and composition.
The model reveals two generic consequences of global inhibition: (i) odors with
many molecular species are more difficult to discriminate and (ii) receptor
arrays with heterogeneous sensitivities perform badly. Our work can thus help
to understand how global inhibition shapes normalized odor representations for
further processing in the brain.


title:
FastDIRC: a fast Monte Carlo and reconstruction algorithm for DIRC
  detectors

abstract:
  FastDIRC is a novel fast Monte Carlo and reconstruction algorithm for DIRC
detectors. A DIRC employs rectangular fused-silica bars both as Cherenkov
radiators and as light guides. Cherenkov-photon imaging and time-of-propagation
information are utilized by a DIRC to identify charged particles. GEANT-based
DIRC Monte Carlo simulations are extremely CPU intensive. The FastDIRC
algorithm permits fully simulating a DIRC detector more than 10000 times faster
than using GEANT. This facilitates designing a DIRC-reconstruction algorithm
that improves the Cherenkov-angle resolution of a DIRC detector by about 30%
compared to existing algorithms. FastDIRC also greatly reduces the time
required to study competing DIRC-detector designs.

categories: physics.data-an hep-ex nucl-ex physics.ins-det


title: Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld

abstract:
  The illustration of cosmic acceleration under two interacting dark energy
models (pilgrim dark energy with Granda and Oliveros cutoff and its generalized
ghost version) in DGP braneworld framework is presented. In the current
scenario, the equation of state parameter, deceleration parameter,
$\omega_{D}-\omega'_{D}$ plane and statefinder diagnosis are investigated. The
equation state parameter behave-like phantom era of the universe. The
deceleration parameter depicts the accelerated expansion of the universe in
both models. The cosmological planes like $\omega_{D}-\omega'_{D}$ and
statefinder corresponds to $\Lambda$CDM limit. To end, we remark that our
results support to phenomenon of pilgrim dark energy and cosmic acceleration.
Also, the results are consistent with observational data.


title: Energy Conditions in $f(\mathcal{G},T)$ Gravity

abstract:
  The aim of this paper is to introduce a new modified gravity theory named as
$f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ are the Gauss-Bonnet
invariant and trace of the energy-momentum tensor, respectively) and
investigate energy conditions for two reconstructed models in the context of
FRW universe. We formulate general field equations, divergence of
energy-momentum tensor, equation of motion for test particles as well as
corresponding energy conditions. The massive test particles follow non-geodesic
lines of geometry due to the presence of extra force. We express energy
conditions in terms of cosmological parameters like deceleration, jerk and snap
parameters. The reconstruction technique is applied to this theory using de
Sitter and power-law cosmological solutions. We analyze energy bounds and
obtain feasible constraints on free parameters.


title:
Solvability and uniqueness criteria for generalized Sylvester-type
  equations

abstract:
  We provide necessary and sufficient conditions for the generalized
$\star$-Sylvester matrix equation, $AXB + CX^\star D = E$, to have exactly one
solution for any right-hand side E. These conditions are given for arbitrary
coefficient matrices $A, B, C, D$ (either square or rectangular) and generalize
existing results for the same equation with square coefficients. We also review
the known results regarding the existence and uniqueness of solution for
generalized Sylvester and $\star$-Sylvester equations.


title:
Adsorption geometry and the interface states: The relaxed and compressed
  phases of NTCDA/Ag(111)

abstract:
  The theoretical modelling of metal-organic interfaces represents a formidable
challenge, especially in consideration of the delicate balance of various
interaction mechanisms and the large size of involved molecular species. In the
present study, the energies of interface states, which are known to display a
high sensitivity to the adsorption geometry and electronic structure of the
deposited molecular species, have been used to test the suitability and
reliability of current theoretical approaches. Two well-ordered overlayer
structures (relaxed and compressed monolayer) of NTCDA on Ag(111) have been
investigated using two-photon-photoemission to derive precise interface state
energies for these closely related systems. The experimental values are
reproduced by our DFT calculations using different treatments of dispersion
interactions (optB88, PBE-D3) and basis set approaches (localized numerical
atomic orbitals, plane waves) with remarkable accuracy. This underlines the
trustworthiness regarding the description of geometric and electronic
properties.


title:
Stable Galerkin Finite Element Scheme for the Simulation of Problems
  Involving Conductors Moving Rectilinearly in Magnetic Fields

abstract:
  For the simulation of rectilinearly moving conductors across a magnetic
field, the Galer-kin finite element method (GFEM) is generally employed. The
inherent instability of GFEM is very often addressed by employing Streamline
upwinding/Petrov-Galerkin (SU/PG) scheme. However, the SU/PG solution is known
to suffer from distortion at the boundary transverse to the velocity and the
remedial measures suggested in fluid dynamics literature are computationally
demanding. Therefore, simple alternative schemes are essential. In an earlier
effort, instead of conventional finite-difference based approach, the numerical
instability was analyzed using the Z-transform. By employing the concept of
pole-zero cancellation, stability of the numerical solution was achieved by a
simple restatement of the input magnetic flux in terms of associated vector
potential. This approach, however, is restricted for input fields, which vary
only along the direction of the velocity. To overcome this, the present work
proposes a novel approach in which the input field is restated as a weighted
elemental average. The stability of the proposed scheme is proven analytically
for both 1D and 2D cases. The error bound for the small oscillations remnant at
intermittent Peclet numbers is also deduced. Using suitable numerical
simulations, all the theoretical deductions are verified.


title: Stable rationality of orbifold Fano threefold hypersurfaces

abstract:
  We determine the rationality of very general quasismooth Fano 3-fold weighted
hypersurfaces completely and determine the stable rationality of them except
for cubic 3-folds. More precisely we prove that (i) very general Fano 3-fold
weighted hypersurfaces of index 1 or 2 are not stably rational except possibly
for the cubic threefolds, (ii) among the 27 families of Fano 3-fold weighted
hypersurfaces of index greater than 2, very general members of specific 7
families are not stably rational and the remaining 20 families consists of
rational varieties.


title: The mass of the black hole in LMC X-3

abstract:
  New high resolution, optical spectroscopy of the high mass X-ray binary LMC
X-3, shows the spectral type of the donor star changes with phase due to
irradiation by the X-ray source. We find the spectral type is likely to be B5V,
and only appears as B3V when viewing the heated side of the donor. Combining
our measurements with those previously published, and taking into account the
effects of X-ray irradiation, results in a value for the donor star radial
velocity semi-amplitude of 256.7 +/- 4.9 km/s. We find the mass of the black
hole lies in the range 9.5 - 13.6 solar masses.


title:
Thermal Transport at the Nanoscale - A Fourier's Law vs. Phonon
  Boltzmann Equation Study

abstract:
  Steady-state thermal transport in nanostructures with dimensions comparable
to the phonon mean-free-path is examined. Both the case of contacts at
different temperatures with no internal heat generation and contacts at the
same temperature with internal heat generation are considered. Fourier's Law
results are compared to finite volume method solutions of the phonon Boltzmann
equation in the gray approximation. When the boundary conditions are properly
specified, results obtained using Fourier's Law without modifying the bulk
thermal conductivity are in essentially exact quantitative agreement with the
phonon Boltzmann equation in the ballistic and diffusive limits. The errors
between these two limits are examined in this paper. For the four cases
examined, the error in the apparent thermal conductivity as deduced from a
correct application of Fourier's Law is less than 6%. We also find that the
Fourier's Law results presented here are nearly identical to those obtained
from a widely-used ballistic-diffusive approach, but analytically much simpler.
Although limited to steady-state conditions with spatial variations in one
dimension and to a gray model of phonon transport, the results show that
Fourier's Law can be used for linear transport from the diffusive to the
ballistic limit. The results also contribute to an understanding of how heat
transport at the nanoscale can be understood in terms of the conceptual
framework that has been established for electron transport at the nanoscale.


title: On the power propagation time of a graph

abstract:
  In this paper, we give Nordhaus-Gaddum upper and lower bounds on the sum of
the power propagation time of a graph and its complement, and we consider the
effects of edge subdivisions and edge contractions on the power propagation
time of a graph. We also study a generalization of power propagation time,
known as $k-$power propagation time, by characterizing all simple graphs on $n$
vertices whose $k-$power propagation time is $n-1$ or $n-2$ (for $k\geq 1$) and
$n-3$ (for $k\geq 2$). We determine all trees on $n$ vertices whose power
propagation time ($k=1$) is $n-3$, and give partial characterizations of graphs
whose $k-$power propagation time is equal to 1 (for $k\geq 1$).


title:
Nuclear spin-lattice relaxation rate in noncentrosymmetric
  superconductor Y$_2$C$_3$

abstract:
  For a noncentrosymmetric superconductor such as Y$_2$C$_3$, we consider a
parity-mixing model composed of spin-singlet s-wave and spin-triplet f-wave
pairing components.
  The $d$-vector in f-wave state is chosen to be parallel to the Dresselhaus
asymmetric spin-orbit coupling vector.
  It is found that, the quasiparticle excitation spectrum exhibits distinct
nodal structure as a consequence of parity-mixing. Our calculation predict
anomalous noninteger power laws for low-temperature nuclear spin-lattice
relaxation rate $T_{1}^{-1}$.
  We demonstrate particularly that such a model can qualitatively account for
the existing experimental results of the temperature dependence of $T_{1}^{-1}$
in Y$_2$C$_3$.


title: Electrolyte-gated organic synapse transistor interfaced with neurons

abstract:
  We demonstrate an electrolyte-gated hybrid nanoparticle/organic synapstor
(synapse-transistor, termed EGOS) that exhibits short-term plasticity as
biological synapses. The response of EGOS makes it suitable to be interfaced
with neurons: short-term plasticity is observed at spike voltage as low as 50
mV (in a par with the amplitude of action potential in neurons) and with a
typical response time in the range of tens milliseconds. Human neuroblastoma
stem cells are adhered and differentiated into neurons on top of EGOS. We
observe that the presence of the cells does not alter short-term plasticity of
the device.


title:
A simple proof of convergence to the Hartree dynamics in Sobolev trace
  norms

abstract:
  The derivation of the Hartree equation from many-body systems of Bosons in
the mean field limit has been very intensively studied in the last couple of
years. However, very few results exist showing convergence of the k-th marginal
of the N-body density matrix to the projection to the k-fold tensor product of
the solution of the Hartree equation in stronger trace norms like the energy
trace norm, see \cite{MS}, \cite{Lu}. This issue is from a physical view point
very important. The reason is that one can then approximate expectation values
of certain observables of the N-body system by means of the Hartree equation,
with relaxation of the very restrictive assumption that the observables are
bounded operators. Here we consider the non-relativistic case. We prove,
assuming only H^1-regularity of the initial data, convergence in the energy
trace norm without rates, and convergence in any other weaker Sobolev trace
norm with rates. Our proof is simple and uses the functional $a_N$ introduced
by Pickl in \cite{Pi}.


title: Crazing of Nanocomposites with Polymer-Tethered Nanoparticles

abstract:
  The crazing behavior of polymer nanocomposites formed by blending polymer
grafted nanoparticles with an entangled polymer melt is studied by molecular
dynamics simulations. We focus on the three key differences in the crazing
behavior of a composite relative to the pure homopolymer matrix, namely, a
lower yield stress, a smaller extension ratio and a grafted chain length
dependent failure stress. The yield behavior is found to be mostly controlled
by the local nanoparticle-grafted polymer interfacial energy, with the grafted
polymer-polymer matrix interfacial structure being of little to no relevance.
Increasing the attraction between nanoparticle core and the grafted polymer
inhibits void nucleation and leads to a higher yield stress. In the craze
growth regime, the presence of grafted chain sections of 100 monomers alters
the mechanical response of composite samples, giving rise to smaller extension
ratios and higher drawing stresses than for the homopolymer matrix. The
dominant failure mechanism of composite samples depends strongly on the length
of the grafted chains, with disentanglement being the dominant mechanism for
short chains, while bond breaking is the failure mode for chain lengths greater
than 10Ne, where Ne is the entanglement length.


title: Solving the Standard Model Problems in Softened Gravity

abstract:
  The Higgs naturalness problem is solved if the growth of Einstein's
gravitational interaction is softened at an energy $ \lesssim 10^{11}\,$GeV
(softened gravity). We work here within an explicit realization where the
Einstein-Hilbert Lagrangian is extended to include terms quadratic in the
curvature and a non-minimal coupling with the Higgs. We show that this solution
is preserved by adding three right-handed neutrinos with masses below the
electroweak scale, accounting for neutrino oscillations, dark matter and the
baryon asymmetry. The smallness of the right-handed neutrino masses (compared
to the Planck scale) and the QCD $\theta$-term are also shown to be natural. We
prove that a possible gravitational source of CP violation cannot spoil the
model, thanks to the presence of right-handed neutrinos. Inflation is
approximately described by the Starobinsky model in this context, and can occur
even if we live in a metastable vacuum.


title:
Full mass dependence in Higgs boson production in association with jets
  at the LHC and FCC

abstract:
  The first computation of Higgs production in association with three jets at
NLO in QCD has recently been performed using the effective theory, where the
top quark is treated as an infinitely heavy particle and integrated out. This
approach is restricted to the regions in phase space where the typical scales
are not larger than the top quark mass. Here we investigate this statement at a
quantitative level by calculating the leading-order contributions to the
production of a Standard Model Higgs boson in association with up to three jets
taking full top-quark and bottom-quark mass dependence into account. We find
that the transverse momentum of the hardest particle or jet plays a key role in
the breakdown of the effective theory predictions, and that discrepancies can
easily reach an order of magnitude for transverse momenta of about 1 TeV. The
impact of bottom-quark loops are found to be visible in the small transverse
momentum region, leading to corrections of up to 5 percent. We further study
the impact of mass corrections when VBF selection cuts are applied and when the
center-of-mass energy is increased to 100 TeV.


title:
Visible camera cryostat design and performance for the SuMIRe Prime
  Focus Spectrograph (PFS)

abstract:
  We describe the design and performance of the SuMIRe Prime Focus Spectrograph
(PFS) visible camera cryostats. SuMIRe PFS is a massively multi-plexed
ground-based spectrograph consisting of four identical spectrograph modules,
each receiving roughly 600 fibers from a 2394 fiber robotic positioner at the
prime focus. Each spectrograph module has three channels covering wavelength
ranges 380~nm -- 640~nm, 640~nm -- 955~nm, and 955~nm -- 1.26~um, with the
dispersed light being imaged in each channel by a f/1.07 vacuum Schmidt camera.
The cameras are very large, having a clear aperture of 300~mm at the entrance
window, and a mass of $\sim$280~kg. In this paper we describe the design of the
visible camera cryostats and discuss various aspects of cryostat performance.


title: Efficient exposure computation by risk factor decomposition

abstract:
  The focus of this paper is the efficient computation of counterparty credit
risk exposure on portfolio level. Here, the large number of risk factors rules
out traditional PDE-based techniques and allows only a relatively small number
of paths for nested Monte Carlo simulations, resulting in large variances of
estimators in practice. We propose a novel approach based on Kolmogorov forward
and backward PDEs, where we counter the high dimensionality by a generalisation
of anchored-ANOVA decompositions. By computing only the most significant terms
in the decomposition, the dimensionality is reduced effectively, such that a
significant computational speed-up arises from the high accuracy of PDE schemes
in low dimensions compared to Monte Carlo estimation. Moreover, we show how
this truncated decomposition can be used as control variate for the full
high-dimensional model, such that any approximation errors can be corrected
while a substantial variance reduction is achieved compared to the standard
simulation approach. We investigate the accuracy for a realistic portfolio of
exchange options, interest rate and cross-currency swaps under a fully
calibrated ten-factor model.


title:
Ensemble-driven support vector clustering: From ensemble learning to
  automatic parameter estimation

abstract:
  Support vector clustering (SVC) is a versatile clustering technique that is
able to identify clusters of arbitrary shapes by exploiting the kernel trick.
However, one hurdle that restricts the application of SVC lies in its
sensitivity to the kernel parameter and the trade-off parameter. Although many
extensions of SVC have been developed, to the best of our knowledge, there is
still no algorithm that is able to effectively estimate the two crucial
parameters in SVC without supervision. In this paper, we propose a novel
support vector clustering approach termed ensemble-driven support vector
clustering (EDSVC), which for the first time tackles the automatic parameter
estimation problem for SVC based on ensemble learning, and is capable of
producing robust clustering results in a purely unsupervised manner.
Experimental results on multiple real-world datasets demonstrate the
effectiveness of our approach.


title: Persistent Markov partitions and hyperbolic components of rational maps

abstract:
  Markov partitions persisting in a neighbourhood of hyperbolic components of
rational maps were constructed under the condition that closures of Fatou
components are disjoint in \cite{R1}. Given such a partition, we characterize
all nearby hyperbolic components in terms of the symbolic dynamics. This means
we can count them, and also obtain topological information. We also determine
extra conditions under which all nearby type IV hyperbolic components are given
by matings. These are probably the first known results of this type.


title:
Critical yield numbers of rigid particles settling in Bingham fluids and
  Cheeger sets

abstract:
  We consider the fluid mechanical problem of identifying the critical yield
number $Y_c$ of a dense solid inclusion (particle) settling under gravity
within a bounded domain of Bingham fluid, i.e. the critical ratio of yield
stress to buoyancy stress that is sufficient to prevent motion. We restrict
ourselves to a two-dimensional planar configuration with a single anti-plane
component of velocity. Thus, both particle and fluid domains are infinite
cylinders of fixed cross-section. We show that such yield numbers arise from an
eigenvalue problem for a constrained total variation. We construct particular
solutions to this problem by consecutively solving two Cheeger-type set
optimization problems. We present a number of example geometries in which these
geometric solutions can be found explicitly and discuss general features of the
solutions. Finally, we consider a computational method for the eigenvalue
problem, which is seen in numerical experiments to produce these geometric
solutions.


title: Detection of outlying proportions

abstract:
  In this paper we introduce a new method for detecting outliers in a set of
proportions. It is based on the construction of a suitable two-way contingency
table and on the application of an algorithm for the detection of outlying
cells in such table. We exploit the special structure of the relevant
contingency table to increase the efficiency of the method. The main properties
of our algorithm, together with a guide for the choice of the parameters, are
investigated through simulations, and in simple cases some theoretical
justifications are provided. Several examples on synthetic data and an example
based on pseudo-real data from biological experiments demonstrate the good
performances of our algorithm.


title:
Silicon isotopes reveal recycled altered oceanic crust in the mantle
  sources of Ocean Island Basalts

abstract:
  The study of silicon (Si) isotopes in ocean island basalts (OIB) has the
potential to discern between different models for the origins of geochemical
heterogeneities in the mantle. Relatively large (several per mil per atomic
mass unit) Si isotope fractionation occurs in low-temperature environments
during biochemical and geochemical precipitation of dissolved Si, where the
precipitate is preferentially enriched in the lighter isotopes relative to the
dissolved Si. In contrast, only a limited range (tenths of a per mil) of Si
isotope fractionation has been observed from high-temperature igneous
processes. Therefore, Si isotopes may be useful as tracers for the presence of
crustal material within OIB mantle source regions that experienced relatively
low-temperature surface processes in a manner similar to other stable isotope
systems, such as oxygen. Characterizing the isotopic composition of the mantle
is also of central importance to the use of the Si isotope system as a basis
for comparisons with other planetary bodies (e.g., Moon, Mars, asteroids).
  Here we present the first comprehensive suite of high-precision Si isotope
data obtained by MC-ICP-MS for a diverse suite of OIB. Samples originate from
ocean islands in the Pacific, Atlantic, and Indian Ocean basins and include
representative end-members for the EM-1, EM-2, and HIMU mantle components. On
average, Si isotope compositions of OIB are in general agreement with previous
estimates for the Si isotope composition of bulk silicate Earth. Nonetheless,
some small systematic variations are present; specifically, most HIMU-type
(Mangaia; Cape Verde; La Palma, Canary Islands) and Iceland OIB are enriched in
the lighter isotopes of Si, consistent with recycled altered oceanic crust and
lithospheric mantle in their mantle sources.


title:
Prominent metallic surface conduction and the singular magnetic response
  of topological Dirac fermion in three-dimensional topological insulator
  Bi$_{1.5}$Sb$_{0.5}$Te$_{1.7}$Se$_{1.3}$

abstract:
  We report semiconductor to metal-like crossover in temperature dependence of
resistivity ($\rho$) due to the switching of charge transport from bulk to
surface channel in three-dimensional topological insulator
Bi$_{1.5}$Sb$_{0.5}$Te$_{1.7}$Se$_{1.3}$. Unlike earlier studies, a much
sharper drop in $\rho$($T$) is observed below the crossover temperature due to
the dominant surface conduction. Remarkably, the resistivity of the conducting
surface channel follows a rarely observable $T^2$ dependence at low temperature
as predicted theoretically for a two-dimensional Fermi liquid system. The field
dependence of magnetization shows a cusp-like paramagnetic peak in the
susceptibility ($\chi$) at zero field over the diamagnetic background. The peak
is found to be robust against temperature and decays linearly with field from
its zero-field value. This unique behavior of $\chi$ is associated with the
spin-momentum locked topological surface state of
Bi$_{1.5}$Sb$_{0.5}$Te$_{1.7}$Se$_{1.3}$. The reconstruction of surface state
with time is clearly reflected through the reduction of peak height with the
age of the sample.


title:
Structure of spin excitations in heavily electron-doped Li0.8Fe0.2ODFeSe
  superconductors

abstract:
  Heavily electron-doped iron-selenide (HEDIS) high-transition-temperature
(high-$T_{\rm{c}}$) superconductors, which have no hole Fermi pockets, but have
a notably high $T_{\rm{c}}$, have challenged the prevailing $s$$_\pm$ pairing
scenario originally proposed for iron pnictides containing both electron and
hole pockets. The microscopic mechanism underlying the enhanced
superconductivity in HEDIS remains unclear. Here, we used neutron scattering to
study the spin excitations of the HEDIS material Li$_{0.8}$Fe$_{0.2}$ODFeSe
($T_{\rm{c}}$ = 41 K). Our data revealed nearly ring-shaped magnetic resonant
excitations surrounding ($\pi$, $\pi$) at $\sim$ 21 meV. As the energy
increased, the spin excitations assumed a diamond shape, and they dispersed
outward until the energy reached $\sim$ 60 meV and then inward at higher
energies. The observed energy-dependent momentum structure and twisted
dispersion of spin excitations near ($\pi$, $\pi$) are analogous to those of
hole-doped cuprates in several aspects, thus implying that such spin
excitations are essential for the remarkably high $T_{\rm{c}}$ in these
materials.


title:
Quantum mean-field approximation for lattice quantum models: truncating
  quantum correlations, and retaining classical ones

abstract:
  In a recent work [D. Malpetti and T. Roscilde, arXiv:1605.04223] we have
shown that in quantum many-body systems at finite temperature, two-point
correlations can be formally separated into a thermal part, and a quantum part
-- and that generically quantum correlations decay exponentially at finite
temperature, with a characteristic, temperature-dependent quantum coherence
length. The existence of these two different forms of correlation in quantum
many-body systems suggests the possibility of formulating an approximation
which affects quantum correlations only, without preventing the correct
description of classical fluctuations at all length scales. Focusing on lattice
boson and quantum Ising models, we make use of the path-integral formulation of
quantum statistical mechanics to introduce such an approximation -- that we dub
\emph{quantum mean-field} (QMF) approach, and which can be readily generalized
to a cluster form (cluster QMF or cQMF). The cQMF approximation reduces to
cluster mean-field theory at $T=0$, while at any finite temperature it produces
a family of systematically improved, semi-classical approximations to the
quantum statistical mechanics of the lattice theory at hand. Contrary to
standard MF approximations, the correct nature of thermal critical phenomena is
captured by any cluster size. In the two exemplary cases of the two-dimensional
quantum Ising model and of two-dimensional quantum rotors, we study
systematically the convergence of the cQMF approximation towards the exact
result, and show that the convergence is typically linear or sub-linear in the
{ boundary-to-bulk ratio} of the clusters as $T\to 0$, while it becomes faster
than linear as $T$ grows. These results pave the way towards the development of
semi-classical numerical approaches based on an approximate, { yet}
systematically improved account of quantum correlations.


title: Kairvaire Problems in Stable Homotopy Theory

abstract:
  The Kervaire Problem is an unsolved problem in Stable Homotopy Theory. The
first interesting example is in dimension $30$. There exists a closed
stably-parallelizable manifold $\tilde{M}^{30}$ with Arf-Kervaire invariant 1.
It is unknown, if such a manifold exists in dimension $126$? The goal of the
paper is to recall the construction of the manifold $M^{30}$ and investigate
its properties.


title: Explosive Particle Dispersion in Plasma Turbulence

abstract:
  Particle dynamics are investigated in plasma turbulence, using
self-consistent kinetic simulations, in two dimensions. In steady state, the
trajectories of single protons and proton-pairs are studied, at different
values of plasma "beta" (ratio between kinetic and magnetic pressure). For
single-particle displacements, results are consistent with fluids and magnetic
field line dynamics, where particles undergo normal diffusion for very long
times, with higher "beta" being more diffusive. In an intermediate time range,
with separations lying in the inertial range, particles experience an explosive
dispersion in time, consistent with the Richardson prediction. These results,
obtained for the first time with a self-consistent kinetic model, are relevant
for astrophysical and laboratory plasmas, where turbulence is crucial for
heating, mixing and acceleration processes.


title:
The Abundance of Lithium in an AGB Star in the Globular Cluster M3 (NGC
  5272)

abstract:
  A survey of red giants in the globular cluster M3 with the Hydra multi-object
spectrograph on the WIYN 3.5-m telescope indicated a prominent Li I 6707 $\AA$
feature in the red giant vZ 1050. Follow-up spectroscopy with the ARC 3.5-m
telescope confirmed this observation and yielded a derived abundance of
A(Li)$_{NLTE}$ = 1.6 $\pm$ 0.05. In addition, the high oxygen and low sodium
abundances measured from the same spectrum suggest that vZ 1050 is a first
generation cluster star. The location vZ 1050 above the horizontal branch and
blueward of the red giant branch in the cluster's color-magnitude diagram
places vZ 1050 on M3's asymptotic giant branch. The likely source for the
enhanced lithium abundance is the Cameron-Fowler mechanism operating in vZ 1050
itself.


title:
On the Weyl and Ricci tensors of Generalized Robertson-Walker
  space-times

abstract:
  We prove theorems about the Ricci and the Weyl tensors on generalized
Robertson-Walker space-times of dimension $n\ge 3$. In particular, we show that
the concircular vector introduced by Chen decomposes the Ricci tensor as a
perfect fluid term plus a term linear in the contracted Weyl tensor. The Weyl
tensor is harmonic if and only if it is annihilated by Chen's vector, and any
of the two conditions is necessary and sufficient for the GRW space-time to be
a quasi-Einstein (perfect fluid) manifold. Finally, the general structure of
the Riemann tensor for Robertson-Walker space-times is given, in terms of
Chen's vector. A GRW space-time in n = 4 with null conformal divergence is a
Robertson-Walker space-time.


title: The non-conforming virtual element method for the Stokes equations

abstract:
  We present the non-conforming Virtual Element Method (VEM) for the numerical
approximation of velocity and pressure in the steady Stokes problem. The
pressure is approximated using discontinuous piecewise polynomials, while each
component of the velocity is approximated using the nonconforming virtual
element space. On each mesh element the local virtual space contains the space
of polynomials of up to a given degree, plus suitable non-polynomial functions.
The virtual element functions are implicitly defined as the solution of local
Poisson problems with polynomial Neumann boundary conditions. As typical in VEM
approaches, the explicit evaluation of the non-polynomial functions is not
required. This approach makes it possible to construct nonconforming (virtual)
spaces for any polynomial degree regardless of the parity, for two-and
three-dimensional problems, and for meshes with very general polygonal and
polyhedral elements. We show that the non-conforming VEM is inf-sup stable and
establish optimal a priori error estimates for the velocity and pressure
approximations. Numerical examples confirm the convergence analysis and the
effectiveness of the method in providing high-order accurate approximations.


title: Time-dependent Corotation Resonance in Barred Galaxies

abstract:
  The effective potential neighboring the corotation resonance region in barred
galaxies is shown to be strongly time-dependent in any rotating frame because
of the competition of nearby perturbations of similar strengths with differing
rotation speeds. Contrary to the generally adopted assumption, that in the bar
rotating frame the corotation region should possess four stationary equilibrium
points (Lagrange points), with high quality N-body simulations we localize the
instantaneous equilibrium points and find that they circulate or oscillate
broadly in azimuth with respect to the pattern speeds of the inner or outer
perturbations. This implies that at the particle level the Jacobi integral is
not well conserved around the corotation radius. That is, angular momentum
exchanges decouple from energy exchanges, enhancing the chaotic diffusion of
stars through the corotation region.


title:
A Novel Approach for Data-Driven Automatic Site Recommendation and
  Selection

abstract:
  This paper presents a novel, generic, and automatic method for data-driven
site selection. Site selection is one of the most crucial and important
decisions made by any company. Such a decision depends on various factors of
sites, including socio-economic, geographical, ecological, as well as specific
requirements of companies. The existing approaches for site selection (commonly
used by economists) are manual, subjective, and not scalable, especially to Big
Data. The presented method for site selection is robust, efficient, scalable,
and is capable of handling challenges emerging in Big Data. To assess the
effectiveness of the presented method, it is evaluated on real data (collected
from Federal Statistical Office of Germany) of around 200 influencing factors
which are considered by economists for site selection of Supermarkets in
Germany (Lidl, EDEKA, and NP). Evaluation results show that there is a big
overlap (86.4 \%) between the sites of existing supermarkets and the sites
recommended by the presented method. In addition, the method also recommends
many sites (328) for supermarket where a store should be opened.


title:
The Equation of State and Duration to Radiation Domination After
  Inflation

abstract:
  We calculate the equation of state after inflation and provide an upper bound
on the duration before radiation domination by taking the nonlinear dynamics of
the fragmented inflaton field into account. A broad class of single-field
inflationary models with observationally consistent flattening of the potential
at a scale $M$ away from the origin, $V(\phi)\propto |\phi|^{2n}$ near the
origin, and where the couplings to other fields are ignored are included in our
analysis. We find that the equation of state parameter $w\rightarrow 0$ for
$n=1$ and $w\rightarrow 1/3$ (after sufficient time) for $n\gtrsim 1$. We
calculate how the number of $e$-folds to radiation domination depends on both
$n$ and $M$ when $M\sim m_{\rm pl}$, whereas when $M\ll m_{\rm pl}$, we find
that the duration to radiation domination is negligible. Our results are
explained in terms of a linear instability analysis in an expanding universe,
scaling arguments, and are supported by detailed 3+1 dimensional lattice
simulations. We show how our work significantly reduces the uncertainty in
inflationary observables, even after including couplings to additional light
fields.


title: Ultraviolet cutoffs and the photon mass

abstract:
  The momentum UV cutoff in Quantum Field Theory is usually treated as an
auxiliary device allowing to obtain finite amplitudes satisfying all physical
requirements. It is even absent (not explicit) in the most popular approach -
the dimensional regularization. We point out that the momentum cutoff treated
as a bona fide physical scale, presumably equal or related to the Planck scale,
would lead to unacceptable predictions. One of the dangers is a non-zero mass
of the photon. In the naive approach, even with the cutoff equal to the Planck
scale, this mass would grossly exceed the existing experimental bounds. We
present the actual calculation using a concrete realization of the physical
cutoff and speculate about the way to restore gauge symmetry order by order in
the inverse powers of the cutoff scale.


title: Plasmons and terahertz devices in graphene

abstract:
  We introduce a novel scheme for efficient manipulation and detection of
terahertz (THz) radiation. Our work consists of two parts; with a focus on
proving the concept of our novel scheme, and the exploitation of graphene's
peculiar properties.
  For the first part, we report on the successful demonstration of two
multiresonance Split Ring Resonator (SRR) designs, for efficient modulation of
THz frequency beams. The two designs are based on SRR intracoupling, with
multiple predefined resonances covering the bandwidth 40-300 GHz. The
simulation results obtained have been experimentally verified.
  The second part of the work reports on the computational development of novel
architectures of low-impedance broadband antennas, for efficient detection of
THz frequency beams. The conceived Split Ring Resonator-Resonance Assisted
(SRR-RA) antennas are based on both a capacitive and inductive scheme,
exploiting a 200 $\Omega$ and 400 $\Omega$ impedance, respectively. Moreover,
the impedance is tunable by varying the geometry's coupling parameters,
allowing for better matching with the detector circuit for maximum power
extraction. Our results have been obtained at simulation level for a 1.5 THz
operation frequency.


title:
On the Reconstruction of Dipole Directions from Spherical Magnetic Field
  Measurements

abstract:
  Reconstructing magnetizations from measurements of the generated magnetic
potential is generally non-unique. The non-uniqueness still remains if one
restricts the magnetization to those induced by an ambient magnetic dipole
field (i.e., the magnetization is described by a scalar susceptibility and the
dipole direction). Here, we investigate the situation under the additional
constraint that the susceptibility is either spatially localized in a subregion
of the sphere or that it is band-limited. If the dipole direction is known,
then the susceptibility is uniquely determined under the spatial localization
constraint while it is only determined up to a constant under the the
assumption of band-limitedness. If the dipole direction is not known,
uniqueness is lost again. However, we show that all dipole directions that
could possibly generate the measured magnetic potential need to be zeros of a
certain polynomial which can be computed from the given potential. We provide
examples of non-uniqueness of the dipole direction and examples on how to find
admissible candidates for the dipole direction under the spatial localization
constraint.


title:
Thermo-magnetic nonlocal NJL model in the real and imaginary time
  formalisms

abstract:
  In this article we study a nonlocal Nambu--Jona-Lasinio (nNJL) model with a
Gaussian regulator in presence of a uniform magnetic field. We take a mixed
approach to the incorporation of temperature in the model, and consider aspects
of both real and imaginary time formalisms. We include confinement in the model
through the quasiparticle interpretation of the poles of the propagator. The
effect of the magnetic field in the deconfinement phase transition is then
studied. It is found that, like with chiral symmetry restoration, magnetic
catalysis occurs for the deconfinement phase transition. It is also found that
the magnetic field enhances the thermodynamical instability of the system. We
work in the weak field limit, i.e. $(eB)<5m_\pi^2$. At this level there is no
splitting of the critical temperatures for chiral and deconfinement phase
transitions.


title:
Magnetoanisotropic Josephson effect due to interfacial spin-orbit fields
  in superconductor/ferromagnet/superconductor junctions

abstract:
  We study theoretically the effects of interfacial Rashba and Dresselhaus
spin-orbit coupling in superconductor/ferromagnet/superconductor (S/F/S)
Josephson junctions---with allowing for tunneling barriers between the
layers---by solving the Bogoljubov-de Gennes equation for a realistic
heterostructure and applying the Furusaki-Tsukada technique to calculate the
electric current at a finite temperature. The presence of spin-orbit couplings
leads to out- and in-plane magnetoanisotropies of the Josephson current, which
are giant in comparison to current magnetoanisotropies in similar normal-state
ferromagnet/normal metal (F/N) junctions. Especially huge anisotropies appear
in the vicinity of $ 0 $-$ \pi $ transitions, caused by the exchange-split
bands in the ferromagnetic metal layer. We also show that the direction of the
Josephson critical current can be controlled (inducing $ 0 $-$ \pi $
transitions) by the strength of the spin-orbit coupling and, more crucial, by
the orientation of the magnetization. Such a control can bring new
functionalities into Josephson junction devices.


title:
Constraining neutrino mass and extra relativistic degrees of freedom in
  dynamical dark energy models using Planck 2015 data in combination with
  low-redshift cosmological probes: basic extensions to $\Lambda$CDM cosmology

abstract:
  We investigate how the properties of dark energy affect the cosmological
measurements of neutrino mass and extra relativistic degrees of freedom. We
limit ourselves to the most basic extensions of $\Lambda$ cold dark matter
(CDM) model, i.e. the $w$CDM model with one additional parameter $w$, and the
$w_{0}w_{a}$CDM model with two additional parameters, $w_{0}$ and $w_{a}$. In
the cosmological fits, we employ the 2015 cosmic microwave background
temperature and polarization data from the Planck mission, in combination with
low-redshift measurements such as the baryon acoustic oscillations, Type Ia
supernovae and the Hubble constant ($H_{0}$). Given effects of massive
neutrinos on large-scale structure, we further include weak lensing, redshift
space distortion, Sunyaev--Zeldovich cluster counts and Planck lensing data. We
show that, though the cosmological constant $\Lambda$ is still consistent with
the current data, a phantom dark energy ($w<-1$) or an early phantom dark
energy (i.e. quintom evolving from $w<-1$ to $w>-1$) is slightly more favoured
by current observations, which leads to the fact that in both $w$CDM and
$w_0w_a$CDM models we obtain a larger upper limit of $\sum m_\nu$. We also show
that in the three dark energy models, the constraints on $N_{\rm eff}$ are in
good accordance with each other, all in favour of the standard value 3.046,
which indicates that the dark energy parameters almost have no impact on
constraining $N_{\rm eff}$. Therefore, we conclude that the dark energy
parameters can exert a significant influence on the cosmological weighing of
neutrinos, but almost cannot affect the constraint on dark radiation.


title:
Three-dimensional chiral microstructures fabricated by structured
  optical vortices in isotropic material

abstract:
  Optical vortices, as a kind of structured beam with helical phase wavefronts
and doughnut shape intensity distribution, have been used for fabricating
chiral structures in metal and spiral patterns in anisotropic
polarization-dependent azobenzene polymer. However, in isotropic polymer, the
fabricated microstructures are typically confined to non-chiral cylindrical
geometry due to two-dimensional doughnut intensity profile of optical vortices.
Here we develop a powerful strategy for realizing chiral microstructures in
isotropic material by coaxial interference of a vortex beam and a plane wave,
which produces three-dimensional (3D) spiral optical fields. This coaxial
interference beams are creatively produced by designing the contrivable
holograms consisting of azimuthal phase and equiphase loaded on liquid-crystal
spatial light modulator. Then, in isotropic polymer, 3D chiral microstructures
are achieved under illumination of the coaxial interference femtosecond laser
beams with their chirality controlled by the topological charge. Our further
investigation reveals that the spiral lobes and chirality are caused by the
interfering patterns and helical phase wavefronts, respectively. This technique
is simple, stable, and easy-operation, and offers broad applications in optical
tweezers, optical communications and fast metamaterial fabrication.


title: There and back again: A T-brane's tale

abstract:
  T-branes are supersymmetric configurations described by multiple Dp-branes
with worldvolume flux and non-commuting vacuum expectation values for two of
the worldvolume scalars. When these values are much larger than the string
scale this description breaks down. We show that in this regime the correct
description of T-branes is in terms of a single Dp-brane, whose worldvolume
curvature encodes the T-brane data. We present the tale of the journey to reach
this picture, which takes us through T-dualities and rugby-ball-shaped brane
configurations that no eye has gazed upon before.


title: Design principles for super selectivity using multivalent interactions

abstract:
  Multivalent particles have the ability to form multiple bonds to a substrate.
Hence, a multivalent interaction can be strong, even if the individual bonds
are weak. However, much more interestingly, multivalency greatly increases the
sensitivity of the particle-substrate interaction to external conditions,
resulting in an ultra-sensitive and highly non-linear dependence of the binding
strength on parameters such as temperature, pH or receptor concentration.
  In this chapter we focus on super-selectivity: the high sensitivity of the
strength of multivalent binding to the number of accessible binding sites on
the target surface. For example, the docking of a multivalent particle on a
cell-surface can be very sensitive (super-selective) to the concentration of
the receptors to which the multiple ligands can bind.
  We present a theoretical analysis of systems of multivalent particles and
describe the mechanism by which multivalency leads to super-selectivity. We
introduce a simple analytical model that allows us to predict the overall
strength of interactions based on physiochemical characteristics of multivalent
binders. Finally, we formulate a set of simple design rules for multivalent
interactions that yield optimal selectivity.


title:
The XXL survey XV: Evidence for dry merger driven BCG growth in
  XXL-100-GC X-ray clusters

abstract:
  The growth of brightest cluster galaxies is closely related to the properties
of their host cluster. We present evidence for dry mergers as the dominant
source of BCG mass growth at $z\lesssim1$ in the XXL 100 brightest cluster
sample. We use the global red sequence, H$\alpha$ emission and mean star
formation history to show that BCGs in the sample possess star formation levels
comparable to field ellipticals of similar stellar mass and redshift. XXL 100
brightest clusters are less massive on average than those in other X-ray
selected samples such as LoCuSS or HIFLUGCS. Few clusters in the sample display
high central gas concentration, rendering inefficient the growth of BCGs via
star formation resulting from the accretion of cool gas. Using measures of the
relaxation state of their host clusters, we show that BCGs grow as relaxation
proceeds. We find that the BCG stellar mass corresponds to a relatively
constant fraction 1\%\ of the total cluster mass in relaxed systems. We also
show that, following a cluster scale merger event, the BCG stellar mass lags
behind the expected value from the M$_{cluster}$ - M$_{BCG}$ relation but
subsequently accretes stellar mass via dry mergers as the BCG and cluster
evolve towards a relaxed state.


title:
Search for new physics in events with high jet multiplicity and low
  missing transverse momentum in proton-proton collisions at sqrt(s) = 8 TeV

abstract:
  A dedicated search is presented for new phenomena in inclusive eight- and
ten-jet final states with low missing transverse momentum, with and without
identification of jets originating from b quarks. The analysis is based on data
from proton-proton collisions corresponding to an integrated luminosity of 19.6
inverse femtobarns collected with the CMS detector at the LHC at sqrt(s) = 8
TeV. The dominant multijet background expectations are obtained from low jet
multiplicity control samples. Data agree well with the standard model
background predictions, and limits are set in several benchmark models.
Colorons (axigluons) with masses between 0.6 and 0.75 (up to 1.15) TeV are
excluded at 95% confidence level. Similar exclusion limits for gluinos in
R-parity violating supersymmetric scenarios are from 0.6 up to 1.1 TeV. These
results comprise the first experimental probe of the coloron and axigluon
models in multijet final states.


title:
Early Output Hybrid Input Encoded Asynchronous Full Adder and
  Relative-Timed Ripple Carry Adder

abstract:
  This paper presents a new early output hybrid input encoded asynchronous full
adder designed using dual-rail and 1-of-4 delay-insensitive data codes. The
proposed full adder when cascaded to form a ripple carry adder (RCA)
necessitates the use of a small relative-timing assumption with respect to the
internal carries, which is independent of the RCA size. The forward latency of
the proposed hybrid input encoded full adder based RCA is data-dependent while
its reverse latency is the least equaling the propagation delay of just one
full adder. Compared to the best of the existing hybrid input encoded full
adders based 32-bit RCAs, the proposed early output hybrid input encoded full
adder based 32-bit RCA enables respective reductions in forward latency and
area by 7.9% and 5.6% whilst dissipating the same average power; in terms of
the theoretically computed cycle time, the latter reports a 10.9% reduction
compared to the former.


title: On the role of Sm in solidification of Al-Sm metallic glasses

abstract:
  During the solidification of Al-Sm metallic glasses the evolution of the
supercooled liquid atomic structure has been identified with an increasing
population of icosahedral-like clusters with increasing Sm concentration. These
clusters exhibit slower kinetics compared to the remaining clusters in the
liquid leading to enhanced amorphous phase stability and glass forming ability
(GFA). Maximum icosahedral-ordering and atomic packing density have been found
for the Al90Sm10 and Al85Sm15 alloys, respectively, whereas minimum cohesive
energy has been found for the Al93Sm7 which is consistent with the range of
compositions (from Al92Sm8 to Al84Sm16) found experimentally with high GFA.


title: Identification of single-input-single-output quantum linear systems

abstract:
  The purpose of this paper is to investigate system identification for
single-input-single-output general (active or passive) quantum linear systems.
For a given input we address the following questions: (1) Which parameters can
be identified by measuring the output? (2) How can we construct a system
realization from sufficient input-output data? We show that for time-dependent
inputs, the systems which cannot be distinguished are related by symplectic
transformations acting on the space of system modes. This complements a
previous result for passive linear systems. In the regime of stationary quantum
noise input, the output is completely determined by the power spectrum. We
define the notion of global minimality for a given power spectrum, and
characterize globally minimal systems as those with a fully mixed stationary
state. We show that in the case of systems with a cascade realization, the
power spectrum completely fixes the transfer function, so the system can be
identified up to a symplectic transformation. We give a method for constructing
a globally minimal subsystem direct from the power spectrum. Restricting to
passive systems the analysis simplifies so that identifiability may be
completely understood from the eigenvalues of a particular system matrix.


title:
Ancilla-Input and Garbage-Output Optimized Design of a Reversible
  Quantum Integer Multiplier

abstract:
  A reversible logic has application in quantum computing. A reversible logic
design needs resources such as ancilla and garbage qubits to reconfigure
circuit functions or gate functions. The removal of garbage qubits and ancilla
qubits are essential in designing an efficient quantum circuit. In the
literature, there are multiple designs that have been proposed for a reversible
multiplication operation. A multiplication hardware is essential for the
circuit design of quantum algorithms, quantum cryptanalysis, and digital signal
processing (DSP) applications. The existing designs of reversible quantum
integer multipliers suffer from redundant garbage qubits. In this work, we
propose a reversible logic based, garbage-free and ancilla qubit optimized
design of a quantum integer multiplier. The proposed quantum integer multiplier
utilizes a novel add and rotate methodology that is specially suitable for a
reversible computing paradigm. The proposed design methodology is the modified
version of a conventional shift and add method. The proposed design of the
quantum integer multiplier incorporates add or no operation based on multiplier
qubits and followed by a rotate right operation. The proposed design of the
quantum integer multiplier produces zero garbage qubits and shows an
improvement ranging from 60% to 90% in ancilla qubits count over the existing
work on reversible quantum integer multipliers.


title: A Reverberation-Based Black Hole Mass for MCG-06-30-15

abstract:
  We present the results of a reverberation campaign targeting MGC-06-30-15.
Spectrophotometric monitoring and broad-band photometric monitoring over the
course of 4 months in the spring of 2012 allowed a determination of a time
delay in the broad H$\beta$ emission line of $\tau=5.3\pm1.8$ days in the rest
frame of the AGN. Combined with the width of the variable portion of the
emission line, we determine a black hole mass of $M_{\rm BH} = (1.6 \pm 0.4)
\times 10^6$ M$_{\odot}$. Both the H$\beta$ time delay and the black hole mass
are in good agreement with expectations from the $R_{\rm BLR}$-$L$ and $M_{\rm
BH}-\sigma_{\star}$ relationships for other reverberation-mapped AGNs. The
H$\beta$ time delay is also in good agreement with the relationship between
H$\beta$ and broad-band near-IR delays, in which the effective BLR size is
$\sim 4-5$ times smaller than the inner edge of the dust torus. Additionally,
the reverberation-based mass is in good agreement with estimates from the X-ray
power spectral density break scaling relationship, and with constraints based
on stellar kinematics derived from integral field spectroscopy of the inner
$\sim 0.5$ kpc of the galaxy.


title: Learning a Driving Simulator

abstract:
  Comma.ai's approach to Artificial Intelligence for self-driving cars is based
on an agent that learns to clone driver behaviors and plans maneuvers by
simulating future events in the road. This paper illustrates one of our
research approaches for driving simulation. One where we learn to simulate.
Here we investigate variational autoencoders with classical and learned cost
functions using generative adversarial networks for embedding road frames.
Afterwards, we learn a transition model in the embedded space using action
conditioned Recurrent Neural Networks. We show that our approach can keep
predicting realistic looking video for several frames despite the transition
model being optimized without a cost function in the pixel space.


title:
Using an intense laser beam in interaction with muon/electron beam to
  probe the Noncommutative QED

abstract:
  It is known that the linearly polarized photons can partly transform to
circularly polarized ones via forward Compton scattering in a background such
as the external magnetic field or noncommutative space time. Based on this fact
we explore the effects of the NC-background on the scattering of a linearly
polarized laser beam from an intense beam of charged leptons. We show that for
a muon/electron beam flux $\bar\varepsilon_{\mu,e}\sim 10^{12}/10^{10}\,{\rm
TeV}\,{\rm cm}^{-2}\,{\rm sec}^{-1}$ and a linearly polarized laser beam with
energy $k^0\sim $1 eV and average power $\bar{P}_{\rm laser}\simeq$1 MW, the
generation rate of circularly polarized photons is about $R_{_V} \sim 10^4/{\rm
sec}$ for Noncommutative energy scale $\Lambda_{\tiny{NC}}\sim 10$TeV.
  This is fairly large and can grow for more intense beams in near future.


title: Thermal Effects on Decays of a Metastable Brane Configuration

abstract:
  We study thermal effects on a decay process of a false vacuum in type IIA
string theory. At finite temperature, the potential of the theory is corrected
and also thermally excited modes enhance the decay rate. The false vacuum can
accommodate a string-like object. This cosmic string makes the bubble creation
rate much larger and causes an inhomogeneous vacuum decay. We investigate
thermal corrections to the DBI action for the bubble/string bound state and
discuss a thermally assisted tunneling process. We show that thermally excited
states enhance the tunneling rate of the decay process, which makes the
life-time of the false vacuum much shorter.


title: The continuum P\'olya-like random walk

abstract:
  The P\'olya urn scheme is a discrete-time process concerning the addition and
removal of colored balls. There is a known embedding of it in continuous-time,
called the P\'olya process. We deal with a generalization of this stochastic
model, where the initial values and the entries of the transition matrix
(corresponding to additions or removals) are not necessarily fixed integer
values as in the standard P\'olya process. In one of the scenarios, we even
allow the entries of the matrix to be random variables. As a result, we no
longer have a combinatorial model of "balls in an urn," but a broader
interpretation as a random walk in a possibly high number of dimensions. In
this paper, we study several parametric classes of these generalized continuum
P\'olya-like random walks.


title: Fast Algorithms for Demixing Sparse Signals from Nonlinear Observations

abstract:
  We study the problem of demixing a pair of sparse signals from noisy,
nonlinear observations of their superposition. Mathematically, we consider a
nonlinear signal observation model, $y_i = g(a_i^Tx) + e_i, \ i=1,\ldots,m$,
where $x = \Phi w+\Psi z$ denotes the superposition signal, $\Phi$ and $\Psi$
are orthonormal bases in $\mathbb{R}^n$, and $w, z\in\mathbb{R}^n$ are sparse
coefficient vectors of the constituent signals, and $e_i$ represents the noise.
Moreover, $g$ represents a nonlinear link function, and $a_i\in\mathbb{R}^n$ is
the $i$-th row of the measurement matrix, $A\in\mathbb{R}^{m\times n}$.
Problems of this nature arise in several applications ranging from astronomy,
computer vision, and machine learning. In this paper, we make some concrete
algorithmic progress for the above demixing problem. Specifically, we consider
two scenarios: (i) the case when the demixing procedure has no knowledge of the
link function, and (ii) the case when the demixing algorithm has perfect
knowledge of the link function. In both cases, we provide fast algorithms for
recovery of the constituents $w$ and $z$ from the observations. Moreover, we
support these algorithms with a rigorous theoretical analysis, and derive
(nearly) tight upper bounds on the sample complexity of the proposed algorithms
for achieving stable recovery of the component signals. We also provide a range
of numerical simulations to illustrate the performance of the proposed
algorithms on both real and synthetic signals and images.


title:
A HSS Matrix-Inspired Butterfly-Based Direct Solver for Analyzing
  Scattering from Two-dimensional Objects

abstract:
  A butterfly-based fast direct integral equation solver for analyzing
high-frequency scattering from two-dimensional objects is presented. The solver
leverages a randomized butterfly scheme to compress blocks corresponding to
near- and far-field interactions in the discretized forward and inverse
electric field integral operators. The observed memory requirements and
computational cost of the proposed solver scale as O(Nlog^2N) and O(N^1.5
logN), respectively. The solver is applied to the analysis of scattering from
electrically large objects spanning over ten thousand of wavelengths and
modeled in terms of five million unknowns.


title: Sharp Poincar\'e inequalities in a class of non-convex sets

abstract:
  Let $\gamma$ be a smooth, non-closed, simple curve whose image is symmetric
with respect to the $y$-axis, and let $D$ be a planar domain consisting of the
points on one side of $\gamma$, within a suitable distance $\delta$ of
$\gamma$. Denote by $\mu_1^{odd}(D)$ the smallest nontrivial Neumann eigenvalue
having a corresponding eigenfunction that is odd with respect to the $y$-axis.
If $\gamma$ satisfies some simple geometric conditions, then $\mu_1^{odd}(D)$
can be sharply estimated from below in terms of the length of $\gamma$, its
curvature, and $\delta$. Moreover, we give explicit conditions on $\delta$ that
ensure $\mu_1^{odd}(D)=\mu_1(D)$. Finally, we can extend our bound on
$\mu_1^{odd}(D)$ to a certain class of three-dimensional domains. In both the
two- and three-dimensional settings, our domains are generically non-convex.


title: Nanoparticle ordering in sandwiched polymer brushes

abstract:
  The organization of nano-particles inside grafted polymer layers is governed
by the interplay of polymer-induced entropic interactions and the action of
externally applied fields. Earlier work had shown that strong external forces
can drive the formation of colloidal structures in polymer brushes. Here we
show that external fields are not essential to obtain such colloidal patterns:
we report Monte Carlo and Molecular dynamics simulations that demonstrate that
ordered structures can be achieved by compressing a `sandwich' of two grafted
polymer layers, or by squeezing a coated nanotube, with nano-particles in
between. We show that the pattern formation can be efficiently controlled by
the applied pressure, while the characteristic length--scale, i.e. the typical
width of the patterns, is sensitive to the length of the polymers. Based on the
results of the simulations, we derive an approximate equation of state for
nano-sandwiches.


title: Improving Quality of Hierarchical Clustering for Large Data Series

abstract:
  Brown clustering is a hard, hierarchical, bottom-up clustering of words in a
vocabulary. Words are assigned to clusters based on their usage pattern in a
given corpus. The resulting clusters and hierarchical structure can be used in
constructing class-based language models and for generating features to be used
in NLP tasks. Because of its high computational cost, the most-used version of
Brown clustering is a greedy algorithm that uses a window to restrict its
search space. Like other clustering algorithms, Brown clustering finds a
sub-optimal, but nonetheless effective, mapping of words to clusters. Because
of its ability to produce high-quality, human-understandable cluster, Brown
clustering has seen high uptake the NLP research community where it is used in
the preprocessing and feature generation steps.
  Little research has been done towards improving the quality of Brown
clusters, despite the greedy and heuristic nature of the algorithm. The
approaches tried so far have focused on: studying the effect of the
initialisation in a similar algorithm; tuning the parameters used to define the
desired number of clusters and the behaviour of the algorithm; and including a
separate parameter to differentiate the window from the desired number of
clusters. However, some of these approaches have not yielded significant
improvements in cluster quality.
  In this thesis, a close analysis of the Brown algorithm is provided,
revealing important under-specifications and weaknesses in the original
algorithm. These have serious effects on cluster quality and reproducibility of
research using Brown clustering. In the second part of the thesis, two
modifications are proposed. Finally, a thorough evaluation is performed,
considering both the optimization criterion of Brown clustering and the
performance of the resulting class-based language models.


title: A new characterization of Auslander algebras

abstract:
  Let $\Lambda$ be a finite dimensional Auslander algebra. For a
$\Lambda$-module $M$, we prove that the projective dimension of $M$ is at most
one if and only if the projective dimension of its socle soc\,$M$ is at most
one. As an application, we give a new characterization of Auslander algebra
$\Lambda$, and prove that a finite dimensional algebra $\Lambda$ is an
Auslander algebra provided its global dimension gl.d\,$\Lambda\leq2$ and an
injective $\Lambda$-module is projective if and only if the projective
dimension of its socle is at most one.


title:
Infrared phonons as a probe of a spin-liquid states in herbertsmithite
  ZnCu3(OH)6Cl2

abstract:
  We report on temperature dependence of the infrared reflectivity spectra of a
single crystalline herbertsmithite in two polarizations --- parallel and
perpendicular to the kagome plane of Cu atoms. We observe anomalous broadening
of the low frequency phonons possibly caused by fluctuations in the exotic
dynamical magnetic order of the spin liquid.


title: Role of nuclear physics in oscillations of magnetars

abstract:
  Strong magnetic fields have important effects on the crustal properties of
magnetars. Here we study the magneto-elastic oscillations of magnetars taking
into consideration the effect of strong magnetic fields on the crustal
composition (magnetised crust). We calculate global magneto-elastic (GME) modes
as well as modes confined to the crust (CME) only. The composition of the crust
directly affects its shear modulus which we calculate using three different
nucleon-nucleon interactions: SLy4, SkM and Sk272. The shear modulus of the
crust is found to be enhanced in strong magnetic fields $\geq 10^{17}$ G for
all those Skyrme interactions. It is noted that the shear modulus of the crust
for the SLy4 interaction is much higher than those of the SkM and Sk272
interactions in presence of magnetic fields or not. Though we do not find any
appreciable change in frequencies of fundamental GME and CME modes with and
without magnetised crusts, frequencies of first overtones of CME modes are
significantly affected in strong magnetic fields $\geq 10^{17}$ G. However,
this feature is not observed in frequencies of first overtones of GME modes. As
in earlier studies, it is also noted that the effects of crusts on frequencies
of both types of maneto-elastic modes disappear when the magnetic field reaches
the critical field ($B > 4 \times 10^{15}$ G). Frequencies of GME and CME modes
calculated with magnetised crusts based on all three nucleon-nucleon
interactions, stellar models and magnetic fields, are compared with frequencies
of observed quasi-periodic oscillations (QPOS) in SGR 1806-20 and SGR1900+14.
As in earlier studies, this comparison indicates that GME modes are essential
to explain all the frequencies as CME modes can explain only the higher
frequencies.


title: New orbits based on speckle interferometry at SOAR

abstract:
  Orbits of 55 visual binary stars are computed using recent speckle
interferometry data from the SOAR telescope: 33 first-time orbits and 22
revisions of previous orbit calculations. The orbital periods range from 1.4 to
370 years, the quality of orbits ranges from definitive to preliminary and
tentative. Most binaries consist of low-mass dwarfs and have short periods
(median period 31 years). The dynamical parallaxes and masses are evaluated and
compared to the Hipparcos parallaxes. Using differential speckle photometry,
binary components are placed on the color-magnitude diagram.


title:
Comet C/2011 L4 (PanStarrs): Small nucleus, fast rotator and dust rich
  comet observed after perihelion

abstract:
  Orbital elements of C2011 L4 (PanStarrs) Oort cloud comet, computed by MPC
(Minor Planet Center, Minor Planet Electronic Circular 2012-T08), show that the
closest approach to the Sun occurred on 2013 March 10th, at about 0.3 A.U.,
then about 4,51x10^7 km. Discovered by Richard Wainscoat (Institute for
Astronomy, University of Hawaii) on four CCD images taken with the 1.8-m
"Pan-STARRS 1" telescope at Haleakala taken on 2011 June 6th. My first
observation of the comet was on 2013 March 10th whit the comet visible in the
twilight. I did the following visual estimation; Mar. 10.73,-1.0*,5'(T.
Scarmato, Calabria, Italy, 7x50 binoculars; altitude 7 deg, tail 1 deg in pa
140 deg), reported to the ICQ (International Comet Quarterly). Easy comet in
7x50 binoculars I started to see C/2011 L4 at 18:35 L.T. when the comet was at
about 7{\deg} above the horizon. I saw a tail long about 1,5{\deg} in pa
140{\deg} with a coma well condensed and large about 5'. I followed the comet
until to the set at 18:55 L.T., still clearly visible at so low altitude about
1{\deg} or less! I don't saw Mars (1.39 mag) at the same altitude, so I
esteemed the comet using Aldebaran (1.1 mag) at 62,44{\deg} of altitude also
using the ICQ Table of Atmospheric Extinction; but remembering C/2006 P1 in the
same conditions of observation I could to assume that the comet was at negative
apparent total magnitude m1= -1.0. The image of the comet was impressive (see
Fig. 2). Here, I present my observations and results on the size of the
nucleus, period of rotation, dust production and peculiar structures in the
inner coma.
  Key words: General: general; comets: C/2011 L4 (PanStarrs), PanStarrs,
comets, afrho, photometry of aperture, flux, apparent magnitude, absolute
magnitude; comet nucleus: size, rotation.


title:
An Incentive-Compatible Scheme for Electricity Cooperatives: An
  Axiomatic Approach

abstract:
  This paper introduces a new scheme for autonomous electricity cooperatives,
called predictive cooperative (PCP), which aggregates commercial and
residential electricity consumers and participates in the electricity market on
behalf of its members. An axiomatic approach is proposed to calculate the
day-ahead bid and to disaggregate the collective cost among participating
consumers. The resulting formulation is shown to keep the members incentivized
to both participate in the cooperative and remain truthful in reporting their
expected loads. The scheme is implemented using PJM (world's largest wholesale
electricity market) real-time and day-ahead price data for 2015 and a
collection of residential and commercial load profiles. The model performance
of this framework is compared to that of real-time pricing (RTP) scheme, in
which wholesale market prices are directly applied to individual consumers. The
results show truthful load announcement by consumers, reduction in electricity
price variation for all consumers, and comparative benefits for participants.


title: Soliton-like solution in quantum electrodynamics

abstract:
  A novel soliton-like solution in quantum electrodynamics is obtained via a
self-consistent field method. By writing the Hamiltonian of quantum
electrodynamics in the Coulomb gauge, we separate out a classical component in
the density operator of the electron-positron field. Then, by modeling the
state vector in analogy with the theory of superconductivity, we minimize the
functional for the energy of the system. This results in the equations of the
self-consistent field, where the solutions are associated with the collective
excitation of the electron-positron field---the soliton-like solution. In
addition, the canonical transformation of the variables allowed us to separate
out the total momentum of the system and, consequently, to find the
relativistic energy dispersion relation for the moving soliton.


title: The denominators of convergents for continued fractions

abstract:
  For any real number $x \in [0,1)$, we denote by $q_n(x)$ the denominator of
the $n$-th convergent of the continued fraction expansion of $x$ $(n \in
\mathbb{N})$. It is well-known that the Lebesgue measure of the set of points
$x \in [0,1)$ for which $\log q_n(x)/n$ deviates away from $\pi^2/(12\log2)$
decays to zero as $n$ tends to infinity. In this paper, we study the rate of
this decay by giving an upper bound and a lower bound. What is interesting is
that the upper bound is closely related to the Hausdorff dimensions of the
level sets for $\log q_n(x)/n$. As a consequence, we obtain a large deviation
type result for $\log q_n(x)/n$, which indicates that the rate of this decay is
exponential.


title: Query Clustering using Segment Specific Context Embeddings

abstract:
  This paper presents a novel query clustering approach to capture the broad
interest areas of users querying search engines. We make use of recent advances
in NLP - word2vec and extend it to get query2vec, vector representations of
queries, based on query contexts, obtained from the top search results for the
query and use a highly scalable Divide & Merge clustering algorithm on top of
the query vectors, to get the clusters. We have tried this approach on a
variety of segments, including Retail, Travel, Health, Phones and found the
clusters to be effective in discovering user's interest areas which have high
monetization potential.


title:
Exponential parameterization of neutrino mixing matrix with account for
  CP-violation data

abstract:
  The exponential parameterization of Pontecorvo-Maki-Nakagawa-Sakata mixing
matrix for neutrino is discussed. The exponential form allows easy
factorization and separate analysis of the CP-violating and Majorana terms.
Based upon the recent experimental data on the neutrino mixing, the values for
the exponential parameterization matrix for neutrinos are determined. The
matrix entries for the pure rotational part in charge of the mixing without
CP-violation are derived. The complementarity hypothesis for quarks and
neutrinos is demonstrated. The comparison of the results, based on most recent
and on old data is held. The CP-violating parameter value is estimated, based
on the so far imprecise experimental indications, regarding CP-violation for
neutrinos. The unitarity of the exponential parameterisation and the
CP-violating term transform is confirmed. The transform of the neutrino mass
state vector by the exponential matrix with account for CP-violation is shown.


title: Coarse base change fails for some modular curves

abstract:
  For a congruence level $H \subset \mathrm{GL}_2(\hat{\mathbb{Z}})$, the
formation of the modular curve $X_H$, i.e., of the coarse moduli space of the
level $H$ modular stack $\mathscr{X}_H$, is known to commute with arbitrary
base change in a wide range of cases. We exhibit infinitely many $H$, for
instance, $H = \Gamma_1(4)$, for which this coarse base change property fails.
In our examples failure is witnessed for base change to $\mathbb{F}_2$ and for
any $\mathbb{Z}_{(2)}$-fiberwise dense open substack of $\mathscr{X}_H$. These
examples fill in several open entries in a table in the book of Katz and Mazur.


title: Detailed Garment Recovery from a Single-View Image

abstract:
  Most recent garment capturing techniques rely on acquiring multiple views of
clothing, which may not always be readily available, especially in the case of
pre-existing photographs from the web. As an alternative, we pro- pose a method
that is able to compute a rich and realistic 3D model of a human body and its
outfits from a single photograph with little human in- teraction. Our algorithm
is not only able to capture the global shape and geometry of the clothing, it
can also extract small but important details of cloth, such as occluded
wrinkles and folds. Unlike previous methods using full 3D information (i.e.
depth, multi-view images, or sampled 3D geom- etry), our approach achieves
detailed garment recovery from a single-view image by using statistical,
geometric, and physical priors and a combina- tion of parameter estimation,
semantic parsing, shape recovery, and physics- based cloth simulation. We
demonstrate the effectiveness of our algorithm by re-purposing the
reconstructed garments for virtual try-on and garment transfer applications, as
well as cloth animation for digital characters.


title: Cosmic ray physics with ARGO-YBJ

abstract:
  The ARGO--YBJ experiment has been in stable data taking for more than five
years at the Yangbajing cosmic ray observatory (Tibet, P.R. China, 4300 m
a.s.l.). The detector collected about $5\times10^{11}$ events in a wide energy
range from few TeVs up to the PeV region. In this work we summarize the latest
results in cosmic ray physics particularly focusing on the cosmic ray energy
spectrum. The results of the measurement of the all-particle and proton plus
helium energy spectra in the energy region between $10^{12} - 10^{16}$ eV are
discussed. A precise measurement of the cosmic ray energy spectrum and
composition in this energy region allows a better understanding of the origin
of the knee and provides a powerful cross-check among different experimental
techniques.

categories: astro-ph.HE astro-ph.IM hep-ex physics.ins-det


title:
Automatic numerical evaluation of vacancy-mediated transport for
  arbitrary crystals: Onsager coefficients in the dilute limit using a Green
  function approach

abstract:
  A general solution for vacancy-mediated diffusion in the
dilute-vacancy/dilute-solute limit for arbitrary crystal structures is derived
from the master equation. A general numerical approach to the vacancy lattice
Green function reduces to the sum of a few analytic functions and numerical
integration of a smooth function over the Brillouin zone for arbitrary
crystals. The Dyson equation solves for the Green function in the presence of a
solute with arbitrary but finite interaction range to compute the transport
coefficients accurately, efficiently and automatically, including cases with
very large differences in solute-vacancy exchange rates. The methodology takes
advantage of the space group symmetry of a crystal to reduce the complexity of
the matrix inversion in the Dyson equation. An open-source implementation of
the algorithm is available, and numerical results are presented for the
convergence of the integration error of the bare vacancy Green function, and
tracer correlation factors for a variety of crystals including wurtzite
(hexagonal diamond) and garnet.

categories: cond-mat.stat-mech cond-mat.mtrl-sci math-ph math.MP


title:
Spherical symmetric parabolic dust collapse: ${\cal C}^{1}$ matching
  metric with zero intrinsic energy

abstract:
  The collapse of marginally bound, inhomogeneous, pressureless (dust) matter,
in spherical symmetry, is considered. The starting point is not, in this case,
the integration of the Einstein equations from some suitable initial
conditions. Instead, starting from the corresponding general exact solution of
these equations, depending on two arbitrary functions of the radial coordinate,
the fulfillment of the Lichnerowicz matching conditions of the interior
collapsing metric and the exterior Schwarzschild one is tentatively assumed
(the continuity of the metric and its first derivatives on the time-like
hypersurface describing the evolution of the spherical 2-surface boundary of
the collapsing cloud), and the consequences of such a tentative assumption are
explored. The whole analytical family of resulting models is obtained and some
of them are picked out as physical better models on the basis of the finite and
constant value of its {\em intrinsic} energy.


title: Computability and Categoricity of Weakly Ultrahomogeneous Structures

abstract:
  This paper investigates the effective categoricity of ultrahomogeneous
structures. It is shown that any computable ultrahomogeneous structure is
$\Delta^0_2$ categorical. A structure A is said to be weakly ultrahomogeneous
if there is a finite (exceptional) set of elements $a_1,\dots,a_n$ such that A
becomes ultrahomogeneous when constants representing these elements are added
to the language. Characterizations are obtained for weakly ultrahomogeneous
linear orderings, equivalence structures, injection structures and trees, and
these are compared with characterizations of the computably categorical and
$\Delta^0_2$ categorical structures. Index sets are used to determine the
complexity of the notions of ultrahomegenous and weakly ultrahomogeneous for
various families of structures.


title: Second-Maximal Subalgebras of Leibniz Algebras

abstract:
  In this work we study Leibniz algebras whose second-maximal subalgebras are
ideals. We provide a classification based on solvability, nilpotency, and the
size of the derived algebra. We give specific descriptions of those Leibniz
algebras whose derived algebra has codimension zero or one. This includes
several algebras which are only possible over certain fields.


title: On monomial representations of finitely generated nilpotent groups

abstract:
  A result of D. Segal states that every complex irreducible representation of
a finitely generated nilpotent group $G$ is monomial if and only if $G$ is
abelian-by-finite. A conjecture of A. N. Parshin, recently proved affirmatively
by I.V. Beloshapka and S. O. Gorchinskii (2016), characterizes the monomial
irreducible representations of finitely generated nilpotent groups. This
article gives a slightly shorter proof of the conjecture combining the ideas of
I. D. Brown and P. C. Kutzko. We also characterize finite dimensional
irreducible representations of two step nilpotent groups and also provide a
full description of the finite dimensional representations of two step groups
whose center has rank one.


title: Tuning out disorder-induced localization in nanophotonic cavity arrays

abstract:
  Weakly coupled high-Q nanophotonic cavities are building blocks of slow-light
waveguides and other nanophotonic devices. Their functionality critically
depends on tuning as resonance frequencies should stay within the bandwidth of
the device. Unavoidable disorder leads to random frequency shifts which cause
localization of the light in single cavities. We present a new method to finely
tune individual resonances of light in a system of coupled nanocavities. We use
holographic laser-induced heating and address thermal crosstalk between
nanocavities using a response matrix approach. As a main result we observe a
simultaneous anticrossing of 3 nanophotonic resonances, which were initially
split by disorder.


title: Observations of the planetary nebula RWT 152 with OSIRIS/GTC

abstract:
  RWT 152 is one of the few known planetary nebulae with an sdO central star.
We present subarcsecond red tunable filter Halpha imaging and
intermediate-resolution, long-slit spectroscopy of RWT 152 obtained with
OSIRIS/GTC with the goal of analyzing its properties. The Halpha image reveals
a bipolar nebula with a bright equatorial region and multiple bubbles in the
main lobes. A faint circular halo surrounds the main nebula. The nebular
spectra reveal a very low-excitation nebula with weak emission lines from H^+,
He^+, and double-ionized metals, and absence of emission lines from neutral and
single-ionized metals, except for an extremely faint [NII]6584 emission line.
These spectra may be explained if RWT 152 is a density-bounded planetary
nebula. Low nebular chemical abundances of S, O, Ar, N, and Ne are obtained in
RWT 152, which, together with the derived high peculiar velocity ($\sim$ 92-131
km s$^{-1}$), indicate that this object is a halo planetary nebula. The
available data are consistent with RWT 152 evolving from a low-mass progenitor
($\sim$ 1 M$_{\odot}$) formed in a metal-poor environment.


title: On quasinearly subharmonic functions

abstract:
  We recall the definition of quasinearly subharmonic functions, point out that
this function class includes, among others, subharmonic functions,
quasisubharmonic functions, nearly subharmonic functions and essentially almost
subharmonic functions. It is shown that the sum of two quasinearly subharmonic
functions may not be quasinearly subharmonic. Moreover, we characterize the
harmonicity via quasinearly subharmonicity.


title:
${\cal{KK}}\text{MC-hh}$: Resummed Exact ${\cal O}(\alpha^2L)$ EW
  Corrections in a Hadronic MC Event Generator

abstract:
  We present an improvement of the MC event generator Herwiri2, where we recall
the latter MC was a prototype for the inclusion of CEEX resummed EW corrections
in hadron-hadron scattering at high cms energies. In this improvement the new
exact ${\cal O}(\alpha^2L)$ resummed EW generator ${\cal{KK}}$ MC 4.22,
featuring as it does the CEEX realization of resummation in the EW sector, is
put in union with the Herwig parton shower environment. The {\rm LHE} format of
the attendant output event file means that all other conventional parton shower
environments are available to the would-be user of the resulting new MC. For
this reason (and others -- see the text) we henceforth refer to the new
improvement of the Herwiri2 MC as ${\cal{KK}}\text{MC-hh}$. Since this new MC
features exact ${\cal O}(\alpha)$ pure weak corrections from the DIZET EW
library and features the CEEX and the EEX YFS-style resummation of large
multiple photon effects, it provides already the concrete path to 0.05\%
precision on such effects if we focus on the EW effects themselves. We
therefore show predictions for observable distributions and comparisons with
other approaches in the literature. This MC represents an important step in the
realization of the exact amplitude-based $QED\otimes QCD$ resummation paradigm.
Independently of this latter observation, the MC rigorously quantifies
important EW effects in the current LHC experiments.


title:
The turbulence velocity gradient tensor formed additively by normal and
  non-normal tensors

abstract:
  We decompose the velocity gradient tensor for turbulence into normal and
non-normal parts, and condition our analysis on the strain eigenvector
alignments between these tensors. We identify states that always enhance, and
always counteract the axisymmetric expansion state, and give a rationale for
decomposing the production balance term into its constituents: complex behavior
arises when the dominant strain alignments involve the non-normal tensor.
Finally, we develop a topological analysis framework where mathematical bounds
on two of the three variables leads to an analysis in two planes.


title: Accelerated nuclear quantum effects sampling with open path integrals

abstract:
  We numericaly demonstrate that, in double well models, the autocorrelation
time of open path integral Monte Carlo simulations can be much smaller compared
to standard ones using ring polymers. We also provide an intuitive explanation
based on the role of instantons as transition states of the path integral
pseudodynamics. Therefore we propose that, in all cases when the ground state
approximation to the finite temperature partition function holds, open path
integral simulations can be used to accelerate the sampling in realistic
simulations aimed to explore nuclear quantum effects.