title: Branching MERA codes: a natural extension of polar codes

abstract:
  We introduce a new class of circuits for constructing efficiently decodable
error-correction codes, based on a recently discovered contractible tensor
network. We perform an in-depth study of a particular example that can be
thought of as an extension to Arikan's polar code. Notably, our numerical
simulation show that this code polarizes the logical channels more strongly
while retaining the log-linear decoding complexity using the successive
cancellation decoder. These codes also display improved error-correcting
capability with only a minor impact on decoding complexity. Efficient decoding
is realized using powerful graphical calculus tools developed in the field of
quantum many-body physics. In a companion paper, we generalize our construction
to the quantum setting and describe more in-depth the relation between
classical and quantum error correction and the graphical calculus of tensor
networks.


title:
The jigsaw puzzle of sequence phenotype inference: Piecing together
  Shannon entropy, importance sampling, and Empirical Bayes

abstract:
  A nucleotide sequence 35 base pairs long can take
1,180,591,620,717,411,303,424 possible values. An example of systems biology
datasets, protein binding microarrays, contain activity data from about 40000
such sequences. The discrepancy between the number of possible configurations
and the available activities is enormous. Thus, albeit that systems biology
datasets are large in absolute terms, they oftentimes require methods developed
for rare events due to the combinatorial increase in the number of possible
configurations of biological systems. A plethora of techniques for handling
large datasets, such as Empirical Bayes, or rare events, such as importance
sampling, have been developed in the literature, but these cannot always be
simultaneously utilized. Here we introduce a principled approach to Empirical
Bayes based on importance sampling, information theory, and theoretical physics
in the general context of sequence phenotype model induction. We present the
analytical calculations that underlie our approach. We demonstrate the
computational efficiency of the approach on concrete examples, and demonstrate
its efficacy by applying the theory to publicly available protein binding
microarray transcription factor datasets and to data on synthetic
cAMP-regulated enhancer sequences. As further demonstrations, we find
transcription factor binding motifs, predict the activity of new sequences and
extract the locations of transcription factor binding sites. In summary, we
present a novel method that is efficient (requiring minimal computational time
and reasonable amounts of memory), has high predictive power that is comparable
with that of models with hundreds of parameters, and has a limited number of
optimized parameters, proportional to the sequence length.


title:
Temperature-dependent Mollow triplet spectra from a single quantum dot:
  Rabi frequency renormalisation and sideband linewidth insensitivity

abstract:
  We investigate temperature-dependent resonance fluorescence spectra obtained
from a single self-assembled quantum dot. A decrease of the Mollow triplet
sideband splitting is observed with increasing temperature, an effect we
attribute to a phonon-induced renormalisation of the driven dot Rabi frequency.
We also present first evidence for a non-perturbative regime of phonon
coupling, in which the expected linear increase in sideband linewidth as a
function of temperature is cancelled by the corresponding reduction in Rabi
frequency. These results indicate that dephasing in semiconductor quantum dots
may be less sensitive to changes in temperature than expected from a standard
weak-coupling analysis of phonon effects.


title: Tensor Networks and Quantum Error Correction

abstract:
  We establish several relations between quantum error correction (QEC) and
tensor network (TN) methods of quantum many-body physics. We exhibit
correspondences between well-known families of QEC codes and TNs, and
demonstrate a formal equivalence between decoding a QEC code and contracting a
TN. We build on this equivalence to propose a new family of quantum codes and
decoding algorithms that generalize and improve upon quantum polar codes and
successive cancellation decoding in a natural way.


title:
Time evolution of superradiant instabilities for charged black holes in
  a cavity

abstract:
  Frequency domain studies have recently demonstrated that charged scalar
fields exhibit fast growing superradiant instabilities when interacting with
charged black holes in a cavity. Here, we present a time domain analysis of the
long time evolution of test charged scalar field configurations on the
Reissner-Nordstr\"om background, with or without a mirror-like boundary
condition. Initial data is taken to be either a Gaussian wave packet or a
regularised (near the horizon) quasi-bound state. Then, Fourier transforming
the data obtained in the evolution confirms the results obtained in the
frequency domain analysis, in particular for the fast growing modes. We show
that spherically symmetric (l=0) modes have even faster growth rates than the
l=1 modes for `small' field charge. Thus, our study confirms that this setup is
particularly promising for considering the non-linear development of the
superradiant instability, since the fast growth makes the signal overcome the
numerical error that dominates for small growth rates, and the analysis may be
completely done in spherical symmetry.


title: Physical properties of CeGe2-x (x = 0.24) single crystals

abstract:
  We present data on the anisotropic magnetic properties, heat capacity and
transport properties of CeGe2-x (x = 0.24) single crystals. The electronic
coefficient of the heat capacity, gamma ~ 110 mJ/mol K^2, is enhanced; three
magnetic transitions, with critical temperatures of ~ 7 K, ~ 5 K, and ~ 4 K are
observed in thermodynamic and transport measurements. The ground state has a
small ferromagnetic component along the c - axis. Small applied field, below 10
kOe, is enough to bring the material to an apparent saturated paramagnetic
state (with no further metamagnetic transitions up to 55 kOe) with a reduced,
below 1 mu_B, saturated moment.


title:
Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian
  Structures on 3-Dimensional Manifolds

abstract:
  In this article we develop some elementary aspects of a theory of symmetry in
sub-Lorentzian geometry. First of all we construct invariants characterizing
isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize
vector fields which generate isometric and conformal symmetries in general
sub-Lorentzian manifolds. We then focus attention back to the case where the
underlying manifold is a contact 3 manifold and more specifically when the
manifold is also a Lie group and the structure is left-invariant.


title:
Active stabilization of a Michelson interferometer at an arbitrary phase
  with sub-nm resolution

abstract:
  We report on the active stabilization of a Michelson interferometer at an
arbitrary phase angle with a precision better than one degree at $\lambda =
632.8$ nm, which corresponds to an optical path difference between the two arms
of less than 1 nm. The stabilization method is ditherless and the error signal
is computed from the spatial shift of the interference pattern of a reference
laser, measured in real-time with a CCD array detector. We discuss the
usefulness of this method for nanopositioning, optical interferometry and
quantum optical experiments.


title: Uncertainty and Analyticity

abstract:
  We describe a connection between minimal uncertainty states and
holomorphy-type conditions on the images of the respective wavelet transform.
The most familiar example is the Fock-Segal-Bargmann transform generated by the
Gaussian, however, this also occurs under more general assumptions.


title:
Statistical Post-Processing of Forecasts for Extremes Using Bivariate
  Brown-Resnick Processes with an Application to Wind Gusts

abstract:
  To improve the forecasts of weather extremes, we propose a joint spatial
model for the observations and the forecasts, based on a bivariate
Brown-Resnick process. As the class of stationary bivariate Brown-Resnick
processes is fully characterized by the class of pseudo cross-variograms, we
contribute to the theorical understanding of pseudo cross-variograms refining
the knowledge of the asymptotic behaviour of all their components and
introducing a parsimonious, but flexible parametric model. Both findings are of
interest in classical geostatistics on their own. The proposed model is applied
to real observation and forecast data for extreme wind gusts at 119 stations in
Northern Germany.


title:
Correlations at large scales and the onset of turbulence in the fast
  solar wind

abstract:
  We show that the scaling of structure functions of magnetic and velocity
fields in a mostly highly Alfv\'{e}nic fast solar wind stream depends strongly
on the joint distribution of the dimensionless measures of cross helicity and
residual energy. Already at very low frequencies, fluctuations that are both
more balanced (cross helicity $\sim 0$) and equipartitioned (residual energy
$\sim 0$) have steep structure functions reminiscent of "turbulent" scalings
usually associated with the inertial range. Fluctuations that are magnetically
dominated (residual energy $\sim -1$), and so have closely anti-aligned
Elsasser-field vectors, or imbalanced (cross helicity $\sim 1$), and so have
closely aligned magnetic and velocity vectors, have wide `$1/f$' ranges typical
of fast solar wind. We conclude that the strength of nonlinear interactions of
individual fluctuations within a stream, diagnosed by the degree of correlation
in direction and magnitude of magnetic and velocity fluctuations, determines
the extent of the $1/f$ region observed and thus the onset scale for the
turbulent cascade.


title:
Auxiliary master equation approach to non-equilibrium correlated
  impurities

abstract:
  We present a numerical method for the study of correlated quantum impurity
problems out of equilibrium, which is particularly suited to address steady
state properties within Dynamical Mean Field Theory. The approach, recently
introduced in [Arrigoni et al., Phys. Rev. Lett. 110, 086403 (2013)], is based
upon a mapping of the original impurity problem onto an auxiliary open quantum
system, consisting of the interacting impurity coupled to bath sites as well as
to a Markovian environment. The dynamics of the auxiliary system is governed by
a Lindblad master equation whose parameters are used to optimize the mapping.
The accuracy of the results can be readily estimated and systematically
improved by increasing the number of auxiliary bath sites, or by introducing a
linear correction. Here, we focus on a detailed discussion of the proposed
approach including technical remarks. To solve for the Green's functions of the
auxiliary impurity problem, a non-hermitian Lanczos diagonalization is applied.
As a benchmark, results for the steady state current-voltage characteristics of
the single impurity Anderson model are presented. Furthermore, the bias
dependence of the single particle spectral function and the splitting of the
Kondo resonance are discussed. In its present form the method is fast,
efficient and features a controlled accuracy.

categories: cond-mat.str-el cond-mat.mes-hall cond-mat.quant-gas quant-ph


title:
FFTPL: An Analytic Placement Algorithm Using Fast Fourier Transform for
  Density Equalization

abstract:
  We propose a flat nonlinear placement algorithm FFTPL using fast Fourier
transform for density equalization. The placement instance is modeled as an
electrostatic system with the analogy of density cost to the potential energy.
A well-defined Poisson's equation is proposed for gradient and cost
computation. Our placer outperforms state-of-the-art placers with better
solution quality and efficiency.


title:
Interface magnetic moments enhancement of FePt-L1$_0$/MgO(001): an
  ab-initio study

abstract:
  The interface between FePt--L1$_0$ and MgO(001) alloys has been studied using
density functional calculations. Because the stacking of the face-centered
tetragonal L1$_0$ phase is formed by alternating Fe and Pt planes, both the Fe-
and Pt-terminated contact layers were studied. Furthermore, due to the large
mismatch between the in-plane lattice constants of both systems, we have chosen
some common $a$ values for both alloys in order to explore in detail the
adsorption energy, the electronic structure and the interface magnetism. The
adsorption energy has been calculated by subtracting the energy of clean FePt
and MgO alloys from the total energy. The preferred adsorbed geometric sites
for Fe/Pt atoms are when they lie on $top$ of the O species, having a smaller
adsorption energy for the remaining positions. We found that expanding the MgO
lattice enhances the magnetic moment of the Fe species but the Pt moments
remain almost constant.


title: An Exchange-Coupled Donor Molecule in Silicon

abstract:
  Donors in silicon, conceptually described as hydrogen atom analogues in a
semiconductor environment, have become a key ingredient of many
"More-than-Moore" proposals such as quantum information processing [1-5] and
single-dopant electronics [6, 7]. The level of maturity this field has reached
has enabled the fabrication and demonstration of transistors that base their
functionality on a single impurity atom [8, 9] allowing the predicted
single-donor energy spectrum to be checked by an electrical transport
measurement. Generalizing the concept, a donor pair may behave as a hydrogen
molecule analogue. However, the molecular quantum mechanical solution only
takes us so far and a detailed understanding of the electronic structure of
these molecular systems is a challenge to be overcome. Here we present a
combined experimental-theoretical demonstration of the energy spectrum of a
strongly interacting donor pair in the channel of a silicon nanotransistor and
show the first observation of measurable two-donor exchange coupling. Moreover,
the analysis of the three charge states of the pair shows evidence of a
simultaneous enhancement of the binding and charging energies with respect to
the single donor spectrum. The measured data are accurately matched by results
obtained in an effective mass theory incorporating the Bloch states
multiplicity in Si, a central cell corrected donor potential and a full
configuration interaction treatment of the 2-electron spectrum. Our data
describe the basic 2-qubit entanglement element in Kane's quantum processing
scheme [1], namely exchange coupling, implemented here in the range of
molecular hybridization.


title: Inferring the spatiotemporal DNA replication program from noisy data

abstract:
  We generalize a stochastic model of DNA replication to the case where
replication-origin-initiation rates vary locally along the genome and with
time. Using this generalized model, we address the inverse problem of inferring
initiation rates from experimental data concerning replication in cell
populations. Previous work based on curve fitting depended on arbitrarily
chosen functional forms for the initiation rate, with free parameters that were
constrained by the data. We introduce a non-parametric method of inference that
is based on Gaussian process regression. The method replaces specific
assumptions about the functional form of initiation rate with more general
prior expectations about the smoothness of variation of this rate, along the
genome and in time. Using this inference method, we recover, with high
precision, simulated replication schemes from noisy data that are typical of
current experiments.


title: Motion of a mirror under infinitely fluctuating quantum vacuum stress

abstract:
  The actual value of the quantum vacuum energy density is generally regarded
as irrelevant in non-gravitational physics. However, this paper gives a
non-gravitational system where this value does have physical significance. The
system is a mirror with an internal degree of freedom which interacts with a
scalar field. We find that the force exerted on the mirror by the field vacuum
undergoes wild fluctuations with a magnitude proportional to the value of the
vacuum energy density, which is mathematically infinite. This infinite
fluctuating force gives infinite instantaneous acceleration of the mirror. We
show that this infinite fluctuating force and infinite instantaneous
acceleration make sense because they will not result in infinite fluctuation of
the mirror's position. On the contrary, the mirror's fluctuating motion will be
confined in a small region due to two special properties of the quantum vacuum:
(1) the vacuum friction which resists the mirror's motion and (2) the strong
anti-correlation of vacuum fluctuations which constantly changes the direction
of the mirror's infinite instantaneous acceleration and thus cancels the effect
of infinities to make the fluctuation of the mirror's position finite.


title: Abundances of stars in different Galactic subsystems

abstract:
  This is a brief overview of the elemental abundance patterns that have been
observed in the different Galactic stellar populations. Main focus is on
studies that are based on high-resolution spectra of dwarf and subgiant stars,
and in some cases red giant stars. Of particular interest is the thin-thick
disk dichotomy, the variation of abundances and stellar ages with
galactocentric radius, multiple stellar populations in the Galactic bulge
region, and how some of these may be connected with other Galactic populations.


title: Halo Masses of MgII absorbers at z\sim 0.5 from SDSS DR7

abstract:
  We present the cross-correlation function of MgII absorbers with respect to a
volume-limited sample of luminous red galaxies (LRGs) at z=0.45-0.60 using the
largest MgII absorber sample and a new LRG sample from SDSS DR7. We present the
clustering signal of absorbers on projected scales r_p = 0.3-35 Mpc/h in four
Wr(2796) bins spanning Wr(2796)=0.4-5.6A. We found that on average MgII
absorbers reside in halos < log M_h > \approx 12.1, similar to the halo mass of
an L_* galaxy. We report that the weakest absorbers in our sample with
W_r(2796)=0.4-1.1A reside in relatively massive halos with < log M_h > \approx
12.5^{+0.6}_{-1.3}, while stronger absorbers reside in halos of similar or
lower masses < log M_h > \approx 11.6^{+0.9}. We compared our bias data points,
b, and the frequency distribution function of absorbers, f_{W_r}, with a simple
model incorporating an isothermal density profile to mimic the distribution of
absorbing gas in halos. We also compared the bias data points with Tinker &
Chen (2008) who developed halo occupation distribution models of MgII absorbers
that are constrained by b and f_{W_r}. The simple isothermal model can be ruled
at a \approx 2.8\sigma level mostly because of its inability to reproduce
f_{W_r}. However, b values are consistent with both models, including TC08. In
addition, we show that the mean b of absorbers does not decrease beyond
W_r(2796) \approx 1.6A. The flat or potential upturn of b for Wr(2796) \gtrsim
1.6A absorbers suggests the presence of additional cool gas in massive halos.


title:
Bayesian Reconstruction of Two-Sex Populations by Age: Estimating Sex
  Ratios at Birth and Sex Ratios of Mortality

abstract:
  The original version of Bayesian reconstruction, a method for estimating
age-specific fertility, mortality, migration and population counts of the
recent past with uncertainty, produced estimates for female-only populations.
Here we show how two-sex populations can be similarly reconstructed and
probabilistic estimates of various sex ratio quantities obtained. We
demonstrate the method by reconstructing the populations of India from 1971 to
2001, Thailand from 1960 to 2000, and Laos from 1985 to 2005. We found evidence
that in India, sex ratio at birth exceeded its conventional upper limit of
1.06, and, further, increased over the period of study, with posterior
probability above 0.9. In addition, almost uniquely, we found evidence that
life expectancy at birth was lower for females than for males in India
(posterior probability for 1971--1976 0.79), although there was strong evidence
for a narrowing of the gap through to 2001. In both Thailand and Laos, we found
strong evidence for the more usual result that life expectancy at birth was
greater for females and, in Thailand, that the difference increased over the
period of study.


title:
Nuclear shape coexistence: A study of the even-even Hg isotopes using
  the interacting boson model with configuration mixing

abstract:
  Background: The Po, Pb, Hg, and Pt region is known for the presence of
coexisting structures that correspond to different particle-hole configurations
in the Shell Model language or equivalently to nuclear shapes with different
deformation.
  Purpose: We intend to study the configuration mixing phenomenon in the Hg
isotopes and to understand how different observables are influenced by it.
  Method: We study in detail a long chain of mercury isotopes, $^{172-200}$Hg,
using the interacting boson model with configuration mixing. The parameters of
the Hamiltonians are fixed through a least square fit to the known energies and
absolute B(E2) transition rates of states up to $3$ MeV.
  Results: We obtained the IBM-CM Hamiltonians and we calculate excitation
energies, B(E2)'s, quadrupole shape invariants, wave functions, isotopic
shifts, and mean field energy surfaces.
  Conclusions: We obtain a fairly good agreement with the experimental data for
all the studied observables and we conclude that the Hamiltonian and the states
we obtain constitute a good approximation to the Hg isotopes.


title:
A note on error estimation for hypothesis testing problems for some
  linear SPDEs

abstract:
  The aim of the present paper is to estimate and control the Type I and Type
II errors of a simple hypothesis testing problem of the drift/viscosity
coefficient for stochastic fractional heat equation driven by additive noise.
Assuming that one path of the first $N$ Fourier modes of the solution is
observed continuously over a finite time interval $[0,T]$, we propose a new
class of rejection regions and provide computable thresholds for $T$, and $N$,
that guarantee that the statistical errors are smaller than a given upper
bound. The considered tests are of likelihood ratio type. The main ideas, and
the proofs, are based on sharp large deviation bounds. Finally, we illustrate
the theoretical results by numerical simulations.


title: Indecomposable coverings with homothetic polygons

abstract:
  We prove that for any convex polygon $S$ with at least four sides, or a
concave one with no parallel sides, and any $m>0$, there is an $m$-fold
covering of the plane with homothetic copies of $S$ that cannot be decomposed
into two coverings.


title: Tethered Flying Robot for Information Gathering System

abstract:
  Information from the sky is important for rescue activity in large-scale
disaster or dangerous areas. Observation system using a balloon or an airplane
has been studied as an information gathering system from the sky. A balloon
observation system needs helium gas and relatively long time to be ready. An
airplane observation system can be prepared in a short time and its mobility is
good. However, a long time flight is difficult because of limited amount of
fuel.
  This paper proposes a kite-based observation system that complements
activities of balloon and airplane observation systems by short preparation
time and long time flight. This research aims at construction of the autonomous
flight information gathering system using a tethered flying unit that consists
of the kite and the ground tether line control unit with a winding machine.
This paper reports development of the kite type tethered flying robot and an
autonomous flying control system inspired by how to fly a kite by a human.


title: Evolution and Computational Learning Theory: A survey on Valiant's paper

abstract:
  Darwin's theory of evolution is considered to be one of the greatest
scientific gems in modern science. It not only gives us a description of how
living things evolve, but also shows how a population evolves through time and
also, why only the fittest individuals continue the generation forward. The
paper basically gives a high level analysis of the works of Valiant[1]. Though,
we know the mechanisms of evolution, but it seems that there does not exist any
strong quantitative and mathematical theory of the evolution of certain
mechanisms. What is defined exactly as the fitness of an individual, why is
that only certain individuals in a population tend to mutate, how computation
is done in finite time when we have exponentially many examples: there seems to
be a lot of questions which need to be answered. [1] basically treats Darwinian
theory as a form of computational learning theory, which calculates the net
fitness of the hypotheses and thus distinguishes functions and their classes
which could be evolvable using polynomial amount of resources. Evolution is
considered as a function of the environment and the previous evolutionary
stages that chooses the best hypothesis using learning techniques that makes
mutation possible and hence, gives a quantitative idea that why only the
fittest individuals tend to survive and have the power to mutate.


title: Neck analysis for biharmonic maps

abstract:
  In this paper, we study the blow up of a sequence of (both extrinsic and
intrinsic) biharmonic maps in dimension four with bounded energy and show that
there is no neck in this process. Moreover, we apply the method to provide new
proofs to the removable singularity theorem and energy identity theorem of
biharmonic maps.


title:
Strategic Control of Proximity Relationships in Heterogeneous Search and
  Rescue Teams

abstract:
  In the context of search and rescue, we consider the problem of mission
planning for heterogeneous teams that can include human, robotic, and animal
agents. The problem is tackled using a mixed integer mathematical programming
formulation that jointly determines the path and the activity scheduling of
each agent in the team. Based on the mathematical formulation, we propose the
use of soft constraints and penalties that allow the flexible strategic control
of spatio-temporal relations among the search trajectories of the agents. In
this way, we can enable the mission planner to obtain solutions that maximize
the area coverage and, at the same time, control the spatial proximity among
the agents (e.g., to minimize mutual task interference, or to promote local
cooperation and data sharing). Through simulation experiments, we show the
application of the strategic framework considering a number of scenarios of
interest for real-world search and rescue missions.


title: Very Large Array Sky Survey (VLASS) white paper: Go deep, not wide

abstract:
  The Karl G. Jansky Very Large Array (VLA) is currently the world's most
powerful cm-wavelength telescope. However, within a few years this blanket
statement will no longer be entirely true, due to the emergence of a new breed
of pre-SKA radio telescopes with improved surveying capabilities. This white
paper explores a region of sensitivity-area parameter space where an investment
of a few thousand hours through a VLA Sky Survey (VLASS) will yield a unique
dataset with extensive scientific utility and legacy value well into the SKA
era: a deep full-polarization L-band survey covering a few square degrees in
A-configuration. Science that can be addressed with a deep VLASS includes
galaxy evolution, dark energy and dark matter using radio weak lensing, and
cosmic magnetism. A deep VLASS performed in a field with extensive
multiwavelength data would also deliver a gold standard multiwavelength catalog
to inform wider and shallower surveys such as SKA1-survey.


title: The robust assembly of small symmetric nano-shells

abstract:
  Highly symmetric nano-shells are found in many biological systems, such as
clathrin cages and viral shells. Several studies have shown that symmetric
shells appear in nature as a result of the free energy minimization of a
generic interaction between their constituent subunits. We examine the physical
basis for the formation of symmetric shells, and using a minimal model we
demonstrate that these structures can readily grow from identical subunits
under non equilibrium conditions. Our model of nano-shell assembly shows that
the spontaneous curvature regulates the size of the shell while the mechanical
properties of the subunit determines the symmetry of the assembled structure.
Understanding the minimum requirements for the formation of closed nano-shells
is a necessary step towards engineering of nano-containers, which will have far
reaching impact in both material science and medicine.


title: Spin turbulence in spinor Bose-Einstein condensates

abstract:
  We summarize the recent theoretical and numerical works on spin turbulence
(ST) in spin-1 spinor Bose-Einstein condensates. When the system is excited
from the ground state, it goes through hy- drodynamic instability to ST in
which the spin density vector has various disordered direction. The properties
of ST depend on whether the spin-dependent interaction is ferromagnetic or
antiferro- magnetic. ST has some characteristics different from other kinds of
turbulence in quantum fluids. Firstly, the spectrum of the spin-dependent
interaction energy exhibits the characteristic power law different from the
usual Kolmogorov -5/3 law. Secondly, ST can show the spin-glass-like behavior;
the spin density vectors are spatially random but temporally frozen.


title: Parallelizing MCMC via Weierstrass Sampler

abstract:
  With the rapidly growing scales of statistical problems, subset based
communication-free parallel MCMC methods are a promising future for large scale
Bayesian analysis. In this article, we propose a new Weierstrass sampler for
parallel MCMC based on independent subsets. The new sampler approximates the
full data posterior samples via combining the posterior draws from independent
subset MCMC chains, and thus enjoys a higher computational efficiency. We show
that the approximation error for the Weierstrass sampler is bounded by some
tuning parameters and provide suggestions for choice of the values. Simulation
study shows the Weierstrass sampler is very competitive compared to other
methods for combining MCMC chains generated for subsets, including averaging
and kernel smoothing.


title: A Non-existence Proof of Quantum Phase Transition in Spin-Boson Model

abstract:
  Quantum phase transition in the spin-boson model was claimed on the basis of
various numerical studies, but not strictly proven. Here by using a unitary
transformation to decompose the Hamiltonian into two branches of odd and even
parity we obtained the necessary and sufficient condition for degeneracy to
occur between states of opposite parity in the spin-boson model, and the
analytical expression for such degenerate energies. It can be strictly proven
that the ground state of spin-boson model with non-vanishing tunneling
amplitude must have an energy lower than the lowest possible such degenerate
energy, and have definite parity. Starting from the invariancy of the parity
operator we show that finite expansion by numerical calculation induces the
breaking of parity symmetry responsible for the phase transition. The critical
dissipation parameter we obtained for parity-symmetry breaking, as a
logarithmic function of summed diagonal matrix elements in the finite expansion
for the bosonic part of the parity operator, can reproduce the phase diagram
derived with quantum Monte Carlo method and logarithmically discretized
numberical renormalization group approach. It reveals that the quantum phase
transition in spin-boson model claimed by numerical procedures arises from
symmetry breaking caused by finite expansion in practical calculation. The
method we developed here may also be applicable to the discussion of quantum
chaos and other similar problems.


title: How to pick a random integer matrix? (and other questions)

abstract:
  We discuss the question of how to pick a matrix uniformly (in an appropriate
sense) at random from groups big and small. We give algorithms in some cases,
and indicate interesting problems in others.


title:
On a Theorem of Bers, with Applications to the Study of Automorphism
  Groups of Domains

abstract:
  We study and generalize a classical theorem of L. Bers that classifies
domains up to biholomorphic equivalence in terms of the algebras of holomorphic
functions on those domains. Then we develop applications of these results to
the study of domains with noncompact automorphism group.


title:
Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant
  algebroids

abstract:
  We study Maurer-Cartan elements on homotopy Poisson manifolds of degree $n$.
They unify many twisted or homotopy structures in Poisson geometry and
mathematical physics, such as twisted Poisson manifolds, quasi-Poisson
$\g$-manifolds, and twisted Courant algebroids. Using the fact that the dual of
an $n$-term $L_\infty$-algebra is a homotopy Poisson manifold of degree $n-1$,
we obtain a Courant algebroid from a $2$-term $L_\infty$-algebra $\g$ via the
degree $2$ symplectic NQ-manifold $T^*[2]\g^*[1]$. By integrating the Lie
quasi-bialgebroid associated to the Courant algebroid, we obtain a
Lie-quasi-Poisson groupoid from a $2$-term $L_\infty$-algebra, which is
proposed to be the geometric structure on the dual of a Lie $2$-algebra. These
results lead to a construction of a new 2-term $L_\infty$-algebra from a given
one, which could produce many interesting examples.


title: Walking within growing domains: recurrence versus transience

abstract:
  For normally reflected Brownian motion and for simple random walk on
independently growing in time d-dimensional domains, d>=3, we establish a sharp
criterion for recurrence versus transience in terms of the growth rate.


title:
The clustering of galaxies in the SDSS-III Baryon Oscillation
  Spectroscopic Survey: Testing gravity with redshift-space distortions using
  the power spectrum multipoles

abstract:
  We analyse the anisotropic clustering of the Baryon Oscillation Spectroscopic
Survey (BOSS) CMASS Data Release 11 (DR11) sample, which consists of $690\,827$
galaxies in the redshift range $0.43 < z < 0.7$ and has a sky coverage of
$8\,498\,\text{deg}^2$. We perform our analysis in Fourier space using a power
spectrum estimator suggested by Yamamoto et al. (2006). We measure the
multipole power spectra in a self-consistent manner for the first time in the
sense that we provide a proper way to treat the survey window function and the
integral constraint, without the commonly used assumption of an isotropic power
spectrum and without the need to split the survey into sub-regions. The main
cosmological signals exploited in our analysis are the Baryon Acoustic
Oscillations and the signal of redshift space distortions, both of which are
distorted by the Alcock-Paczynski effect. Together, these signals allow us to
constrain the distance ratio $D_V(z_{\rm eff})/r_s(z_d) = 13.89\pm 0.18$, the
Alcock-Paczynski parameter $F_{\rm AP}(z_{\rm eff}) = 0.679\pm0.031$ and the
growth rate of structure $f(z_{\rm eff})\sigma_8(z_{\rm eff}) = 0.419\pm0.044$
at the effective redshift $z_{\rm eff}=0.57$. We did not find significant
systematic uncertainties for $D_V/r_s$ or $F_{\rm AP}$ but include a systematic
error for $f\sigma_8$ of $3.1\%$. Combining our dataset with Planck to test
General Relativity (GR) through the simple $\gamma$-parameterisation, reveals a
$\sim 2\sigma$ tension between the data and the prediction by GR. The tension
between our result and GR can be traced back to a tension in the clustering
amplitude $\sigma_8$ between CMASS and Planck.


title: Thermalization of isolated quantum systems

abstract:
  Understanding the evolution towards thermal equilibrium of an isolated
quantum system is at the foundation of statistical mechanics and a subject of
interest in such diverse areas as cold atom physics or the quantum mechanics of
black holes. Since a pure state can never evolve into a thermal density matrix,
the Eigenstate Thermalization Hypothesis (ETH) has been put forward by Deutsch
and Srednicki as a way to explain this apparent thermalization, similarly to
what the ergodic theorem does in classical mechanics. In this paper this
hypothesis is tested numerically. First, it is observed that thermalization
happens in a subspace of states (the Krylov subspace) with dimension much
smaller than that of the total Hilbert space. We check numerically the validity
of ETH in such a subspace, for a system of hard core bosons on a
two-dimensional lattice. We then discuss how well the eigenstates of the
Hamiltonian projected on the Krylov subspace represent the true eigenstates.
This discussion is aided by bringing the projected Hamiltonian to the
tridiagonal form and interpreting it as an Anderson localization problem for a
finite one-dimensional chain. We also consider thermalization of a subsystem
and argue that generation of a large entanglement entropy can lead to a thermal
density matrix for the subsystem well before the whole system thermalizes.
Finally, we comment on possible implications of ETH in quantum gravity.


title: Estimating the uncorrelated dark energy evolution in the Planck era

abstract:
  The equation of state (EOS), $w(z)$, is the most important parameter of dark
energy. We reconstruct the evolution of this EOS in a model-independent way
using the latest cosmic microwave background (CMB) data from Planck and other
observations, such as type Ia supernovae (SNe Ia), the baryonic acoustic
oscillation measurements (SDSS, 6dF, BOSS, and WiggleZ), and the Hubble
parameter value $H(z)$. The results show that the EOS is consistent with the
cosmological constant at the $2\sigma$ confidence level, not preferring a
dynamical dark energy. The uncorrelated EOS of dark energy constraints from
Planck CMB data are much tighter than those from the WMAP 9-year CMB data.


title: Plasmonic Metamaterials

abstract:
  Plasmonics and metamaterials have attracted considerable attention over the
past decade, owing to the revolutionary impacts that they bring to both the
fundamental physics and practical applications in multiple disciplines.
Although the two fields initially advanced along their individual trajectories
in parallel, they started to interfere with each other when metamaterials
reached the optical regime. The dynamic interplay between plasmonics and
metamaterials has generated a number of innovative concepts and approaches,
which are impossible with either area alone. This review presents the
fundamentals, recent advances and future perspectives in the emerging field of
plasmonic metamaterials, aiming to open up new exciting opportunities for
nanoscience and nanotechnology.


title: The sum of the unitary divisor function

abstract:
  This article establishes a new upper bound on the function $\sigma^{*}(n)$,
the sum of all coprime divisors of $n$. The article concludes with two
questions concerning this function.


title: A Network Biology Approach to Denitrification in Pseudomonas aeruginosa

abstract:
  Pseudomonas aeruginosa is a metabolically flexible member of the
Gammaproteobacteria. Under anaerobic conditions and the presence of nitrate, P.
aeruginosa can perform (complete) denitrification, a respiratory process of
dissimilatory nitrate reduction to nitrogen gas via nitrite ($NO_{2}$), nitric
oxide ($NO$) and nitrous oxide ($N_{2}O$). This study focuses on understanding
the influence of environmental conditions on bacterial denitrification
performance, using a mathematical model of a metabolic network in P.
aeruginosa. To our knowledge, this is the first mathematical model of
denitrification for this bacterium. Analysis of the long-term behavior of the
network under changing concentration levels of oxygen ($O_{2}$), nitrate
($NO_{3}$), and phosphate ($PO_{4}$) suggests that $PO_{4}$ concentration
strongly affects denitrification performance. The model provides five
predictions on denitrification activity of P. aeruginosa under various
environmental conditions, and these predictions are either experimentally
validated or supported by pertinent biological literature. One motivation for
this study is to capture the effect of $PO_{4}$ on a denitrification metabolic
network of P. aeruginosa in order to shed light on mechanisms for greenhouse
gas $N_{2}O$ accumulation during seasonal oxygen depletion in aquatic
environments such as Lake Erie (Laurentian Great Lakes, USA).


title: A Survey of Data Mining Techniques for Social Media Analysis

abstract:
  Social network has gained remarkable attention in the last decade. Accessing
social network sites such as Twitter, Facebook LinkedIn and Google+ through the
internet and the web 2.0 technologies has become more affordable. People are
becoming more interested in and relying on social network for information, news
and opinion of other users on diverse subject matters. The heavy reliance on
social network sites causes them to generate massive data characterised by
three computational issues namely; size, noise and dynamism. These issues often
make social network data very complex to analyse manually, resulting in the
pertinent use of computational means of analysing them. Data mining provides a
wide range of techniques for detecting useful knowledge from massive datasets
like trends, patterns and rules [44]. Data mining techniques are used for
information retrieval, statistical modelling and machine learning. These
techniques employ data pre-processing, data analysis, and data interpretation
processes in the course of data analysis. This survey discusses different data
mining techniques used in mining diverse aspects of the social network over
decades going from the historical techniques to the up-to-date models,
including our novel technique named TRCM. All the techniques covered in this
survey are listed in the Table.1 including the tools employed as well as names
of their authors.


title:
Signatures of Coherent Vortex Structures in a Disordered 2D Quantum
  Fluid

abstract:
  The emergence of coherent rotating structures is a phenomenon characteristic
of both classical and quantum 2D turbulence. In this work we show theoretically
that the coherent vortex structures that emerge in decaying 2D quantum
turbulence can approach quasi-classical rigid-body rotation, obeying the
Feynman rule of constant average areal vortex density while remaining spatially
disordered. By developing a rigorous link between the velocity probability
distribution and the quantum kinetic energy spectrum over wavenumber $k$, we
show that the coherent vortex structures are associated with a $k^3$ power law
in the infrared region of the spectrum, and a well-defined spectral peak that
is a physical manifestation of the largest structures. We discuss the
possibility of realizing coherent structures in Bose--Einstein condensate
experiments and present Gross-Pitaevskii simulations showing that this
phenomenon, and its associated spectral signatures, can emerge dynamically from
feasible initial vortex configurations.


title:
Minimal surfaces in the 3-sphere by doubling the Clifford torus over
  rectangular lattices

abstract:
  Building on work of Kapouleas and Yang, we construct sequences of minimal
surfaces embedded in the round 3-sphere which converge to the Clifford torus
counted with multiplicity two and have second fundamental form blowing up at
every point of the torus and genus tending to infinity. Each surface in a given
sequence resembles a pair of tori close to the limit torus and joined by many
catenoidal bridges arranged over a rectangular lattice on the limit. The
collection of sequences is indexed by the ratio of the lengths of the lattice
edges, which may be any prescribed positive rational. Unlike the surfaces of
Kapouleas and Yang, these new embeddings are not symmetric with respect to any
isometries of the 3-sphere exchanging the two sides of the limit Clifford
torus, except when the corresponding lattice is square.


title: On Posterior Concentration in Misspecified Models

abstract:
  We investigate the asymptotic behavior of Bayesian posterior distributions
under independent and identically distributed ($i.i.d.$) misspecified models.
More specifically, we study the concentration of the posterior distribution on
neighborhoods of $f^{\star}$, the density that is closest in the
Kullback--Leibler sense to the true model $f_0$. We note, through examples, the
need for assumptions beyond the usual Kullback--Leibler support assumption. We
then investigate consistency with respect to a general metric under three
assumptions, each based on a notion of divergence measure, and then apply these
to a weighted $L_1$-metric in convex models and non-convex models. Although a
few results on this topic are available, we believe that these are somewhat
inaccessible due, in part, to the technicalities and the subtle differences
compared to the more familiar well-specified model case. One of our goals is to
make some of the available results, especially that of , more accessible.
Unlike their paper, our approach does not require construction of test
sequences. We also discuss a preliminary extension of the $i.i.d.$ results to
the independent but not identically distributed ($i.n.i.d.$) case.


title: Emergent structure of multi-dislocation ground states in curved crystals

abstract:
  We study the structural features and underlying principles of
multi-dislocation ground states of a crystalline spherical cap. In the
continuum limit where the ratio of crystal size to lattice spacing $W/a$
diverges, dislocations proliferate and ground states approach a characteristic
sequence of structures composed of radial grain boundaries ("neutral scars"),
extending radially from the boundary and terminating in the bulk. Employing a
combination of numerical simulations and asymptotic analysis of continuum
elasticity theory, we prove that an energetic hierarchy gives rise to a
structural hierarchy, whereby dislocation number and scar number diverge as
$a/W \to 0$ while scar length and dislocation number per scar become {\it
independent} of lattice spacing. We characterize a secondary transition
occurring as scar length grows, where the $n$-fold scar symmetry is broken and
ground states are characterized by polydisperse, forked-scar morphologies.


title: Coupled mode theory of stock price formation

abstract:
  We develop a theory of bid and ask price dynamics where the two prices form
due to interaction of buy and sell orders. In this model the two prices are
represented by eigenvalues of a 2x2 price operator corresponding to "bid" and
"ask" eigenstates. Matrix elements of price operator fluctuate in time which
results in phase jitter for eigenstates. We show that the theory reflects very
important characteristics of bid and ask dynamics and order density in the
order book. Calibration examples are provided for stocks at various time
scales. Lastly, this model allows to quantify and measure risk associated with
spread and its fluctuations.


title:
A One-dimensional kinetic model of plasma dynamics with a transport
  field

abstract:
  Motivated by the fundamental model of a collisionless plasma, the
Vlasov-Maxwell (VM) system, we consider a related, nonlinear system of partial
differential equations in one space and one momentum dimension. As little is
known regarding the regularity properties of solutions to the non-relativistic
version of the (VM) equations, we study a simplified system which also lacks
relativistic velocity corrections and prove local-in-time existence and
uniqueness of classical solutions to the Cauchy problem. For special choices of
initial data, global-in-time existence of these solutions is also shown.
Finally, we provide an estimate which, independent of the initial data, yields
additional global-in-time regularity of the associated field.


title: Calibration of pulse transit time through a cable for EAS experiments

abstract:
  In ground-based extensive air shower experiments, the direction and energy
are reconstructed by measuring the relative arrival time of secondary
particles, and the energy they deposit. The measurement precision of the
arrival time is crucial for determination of the angular resolution. For this
purpose, we need to obtain a precise relative time offset for each detector,
and to apply the calibration process. The time offset is associated with the
photomultiplier tube, cable, relevant electronic circuits, etc. In view of the
transit time through long cables being heavily dependent on the ambient
temperature, a real-time calibration method for the cable transit time is
investigated in this paper. Even with a poor-resolution time-to-digital
converter, this method can achieve high precision. This has been successfully
demonstrated with the Front-End-Electronic board used in the Daya Bay neutrino
experiment.


title:
Spherical collapse in f(R) gravity and the
  Belinskii-Khalatnikov-Lifshitz conjecture

abstract:
  Spherical scalar collapse in f(R) gravity is studied numerically in
double-null coordinates in the Einstein frame. Dynamics in the vicinity of the
singularity of the formed black hole is examined via mesh refinement and
asymptotic analysis. Before the collapse, the scalar degree of freedom f' is
coupled to a physical scalar field, and general relativity is restored. During
the collapse, the major energy of the physical scalar field moves to the
center. As a result, f' loses the coupling and becomes light, and gravity
transits from general relativity to f(R) gravity. Due to strong gravity from
the singularity and the low mass of f', f' will cross the minimum of the
potential and approach zero. Therefore, the dynamical solution is significantly
different from the static solution of the black hole in f(R) gravity---it is
not the de Sitter-Schwarzschild solution as one might have expected. f' tries
to suppress the evolution of the physical scalar field, which is a dark energy
effect. As the singularity is approached, metric terms are dominant over other
terms. The Kasner solution for spherical scalar collapse in f(R) theory is
obtained and confirmed by numerical results. These results support the
Belinskii-Khalatnikov-Lifshitz conjecture well.


title: Compact Random Feature Maps

abstract:
  Kernel approximation using randomized feature maps has recently gained a lot
of interest. In this work, we identify that previous approaches for polynomial
kernel approximation create maps that are rank deficient, and therefore do not
utilize the capacity of the projected feature space effectively. To address
this challenge, we propose compact random feature maps (CRAFTMaps) to
approximate polynomial kernels more concisely and accurately. We prove the
error bounds of CRAFTMaps demonstrating their superior kernel reconstruction
performance compared to the previous approximation schemes. We show how
structured random matrices can be used to efficiently generate CRAFTMaps, and
present a single-pass algorithm using CRAFTMaps to learn non-linear multi-class
classifiers. We present experiments on multiple standard data-sets with
performance competitive with state-of-the-art results.


title:
Metric characterizations of superreflexivity in terms of word hyperbolic
  groups and finite graphs

abstract:
  We show that superreflexivity can be characterized in terms of bilipschitz
embeddability of word hyperbolic groups. We compare characterizations of
superreflexivity in terms of diamond graphs and binary trees. We show that
there exist sequences of series-parallel graphs of increasing topological
complexity which admit uniformly bilipschitz embeddings into a Hilbert space,
and thus do not characterize superreflexivity.


title:
Counting Triangulations and other Crossing-free Structures via Onion
  Layers

abstract:
  Let $P$ be a set of $n$ points in the plane. A crossing-free structure on $P$
is a plane graph with vertex set $P$. Examples of crossing-free structures
include triangulations of $P$, spanning cycles of $P$, also known as
polygonalizations of $P$, among others. In this paper we develop a general
technique for computing the number of crossing-free structures of an input set
$P$. We apply the technique to obtain algorithms for computing the number of
triangulations, matchings, and spanning cycles of $P$. The running time of our
algorithms is upper bounded by $n^{O(k)}$, where $k$ is the number of onion
layers of $P$. In particular, for $k = O(1)$ our algorithms run in polynomial
time. In addition, we show that our algorithm for counting triangulations is
never slower than $O^{*}(3.1414^{n})$, even when $k = \Theta(n)$. Given that
there are several well-studied configurations of points with at least
$\Omega(3.464^{n})$ triangulations, and some even with $\Omega(8^{n})$
triangulations, our algorithm asymptotically outperforms any enumeration
algorithm for such instances. In fact, it is widely believed that any set of
$n$ points must have at least $\Omega(3.464^{n})$ triangulations. If this is
true, then our algorithm is strictly sub-linear in the number of triangulations
counted. We also show that our techniques are general enough to solve the
"Restricted-Triangulation-Counting-Problem", which we prove to be $W[2]$-hard
in the parameter $k$. This implies a "no free lunch" result: In order to be
fixed-parameter tractable, our general algorithm must rely on additional
properties that are specific to the considered class of structures.


title: On Physical Scales of Dark Matter Halos

abstract:
  It is common practice to describe formal size and mass scales of dark matter
halos as spherical overdensities with respect to an evolving density threshold.
Here, we critically investigate the evolutionary effects of several such
commonly used definitions and compare them to the halo evolution within fixed
physical scales as well as to the evolution of other intrinsic physical
properties of dark matter halos. It is shown that, in general, the traditional
way of characterizing sizes and masses of halos dramatically overpredicts the
degree of evolution in the last 10 Gyr, especially for low-mass halos. This
pseudo-evolution leads to the illusion of growth even though there are no major
changes within fixed physical scales. Such formal size definitions also serve
as proxies for the virialized region of a halo in the literature. In general,
those spherical overdensity scales do not coincide with the virialized region.
A physically more precise nomenclature would be to simply characterize them by
their very definition instead of calling such formal size and mass definitions
'virial'. In general, we find a discrepancy between the evolution of the
underlying physical structure of dark matter halos seen in cosmological
structure formation simulations and pseudo-evolving formal virial quantities.
We question the importance of the role of formal virial quantities currently
ubiquitously used in descriptions, models and relations that involve properties
of dark matter structures. Concepts and relations based on pseudo-evolving
formal virial quantities do not properly reflect the actual evolution of dark
matter halos and lead to an inaccurate picture of the physical evolution of our
universe.


title:
$O(a^2)$-improved actions for heavy quarks and scaling studies on
  quenched lattices

abstract:
  We investigate a new class of improved relativistic fermion action on the
lattice with a criterion to give excellent energy-momentum dispersion relation
as well as to be consistent with tree-level $O\left(a^{2}\right)$-improvement.
Main application in mind is that for heavy quark for which $ma\simeq O(0.5)$.
We present tree-level results and a scaling study on quenched lattices.


title: Cosmic magnetization in curved and Lorentz violating space-times

abstract:
  The presence of the large-scale magnetic fields is one of the greatest
puzzles of contemporary cosmology. The symmetries of the electromagnetic field
theory combined with the geometric structure of the FRW universe leads to an
adiabatic decay of the primordial magnetic fields. Due to this rapid decay the
residual large scale magnetic field is astrophysically unimportant. A common
feature among many of the proposed amplification mechanisms is the violation of
Lorentz symmetries. We introduce an amplification mechanism within a Lorentz
violating environment where we use Finsler geometry as our theoretical
background. The mechanism is based on the adoption of a local anisotropic
structure that leads to modifications on the Ricci identities. Thus, the
wave-like equation of any vector source, including the magnetic field, is
enriched by the Finslerian curvature theory. In particular limits the remaining
seed field can be strong enough to seed the galactic dynamo. In our analysis we
also develop the 1+3 covariant formalism for the 4-vector potential in curved
space-times.


title: On the Time for Brownian Motion to Visit Every Point on a Circle

abstract:
  Consider a Wiener process $W$ on a circle of circumference $L$. We prove the
rather surprising result that the Laplace transform of the distribution of the
first time, $\theta_L$, when the Wiener process has visited every point of the
circle can be solved in closed form using a continuous recurrence approach.


title:
Spaxel Analysis: Probing the Physics of Star Formation in Ultraluminous
  Infrared Galaxies

abstract:
  This paper presents a detailed spectral pixel (spaxel) analysis of the ten
Luminous Infrared Galaxies (LIRGs) previously observed with the Wide Field
Spectrograph (WiFeS), an integral field spectrograph mounted on the ANU 2.3m
telescope, and for which an abundance gradient analysis has already been
presented by Rich et al. (2012). Here we use the strong emission line analysis
techniques developed by Dopita et al. (2013) to measure the ionisation
parameter and the oxygen abundance in each spaxel. In addition, we use the
observed H$\alpha$ flux to determine the surface rate of star formation
($M_{\odot}$ yr$^{-1}$ kpc$^{-2}$) and use the [\ion{S}{2}]
$\lambda\lambda6717/6731$ ratio to estimate the local pressure in the ionised
plasma. We discuss the correlations discovered between these physical
quantities, and use them to infer aspects of the physics of star formation in
these extreme star forming environments. In particular, we find a correlation
between the star formation rate and the inferred ionisation parameter. We
examine the possible reasons for this correlation, and determine that the most
likely explanation is that the more active star forming regions have a
different distribution of molecular gas which favour higher ionisation
parameters in the ionised plasma.


title:
Implementation of WSN which can simultaneously monitor Temperature
  conditions and control robot for positional accuracy

abstract:
  Sensor networks and robots are both quickly evolving fields, the union of two
fields seems inherently symbiotic. Collecting data from stationary sensors can
be time consuming task and thus can be automated by adding wireless
communication capabilities to the sensors. This proposed project takes
advantage of wireless sensor networks in remote handling environment which can
send signals over far distances by using a mesh topology, transfers the data
wirelessly and also consumes low power. In this paper a testbed is created for
wireless sensor network using custom build sensor nodes for temperature
monitoring in labs and to control a robot moving in another lab. The two
temperature sensor nodes used here consists of a Arduino microcontroller and
XBee wireless communication module based on IEEE 802.15.4 standard while the
robot has inherent FPGA board as a processing unit with xbee module connected
via Rs-2332 cable for serial communication between zigbee device and FPGA. A
simple custom packet is designed so that uniformity is maintained while
collection of data from temperature nodes and a moving robot and passing to a
remote terminal. The coordinator Zigbee is connected to remote terminal (PC)
through its USB port where Graphical user interface (GUI) can be run to monitor
Temperature readings and position of Robot dynamically and save those readings
in database.


title: $\sigma$-Mappings of triangular algebras

abstract:
  Let $A$ be an algebra and $\sigma$ an automorphism of $A$. A linear map $d$
of $A$ is called a $\sigma$-derivation of $A$ if $d(xy) = d(x)y +
\sigma(x)d(y)$, for all $x, y \in A$. A linear map $D$ is said to be a
generalized $\sigma$-derivation of $A$ if there exists a $\sigma$-derivation
$d$ of $A$ such that $D(xy) = D(x)y + \sigma(x)d(y)$, for all $x, y \in A$. An
additive map $\Theta$ of $A$ is $\sigma$-centralizing if $\Theta(x)x -
\sigma(x)\Theta(x) \in Z(A)$, for all $x \in A$. In this paper, precise
descriptions of generalized $\sigma$-derivations and $\sigma$-centralizing maps
of triangular algebras are given. Analogues of the so-called commutative
theorems, due to Posner and Mayne, are also proved for the triangular algebra
setting.


title: Moduli of curves as moduli of A-infinity structures

abstract:
  We define and study the stack ${\mathcal U}^{ns,a}_{g,g}$ of (possibly
singular) projective curves of arithmetic genus g with g smooth marked points
forming an ample non-special divisor. We define an explicit closed embedding of
a natural ${\mathbb G}_m^g$-torsor over ${\mathcal U}^{ns,a}_{g,g}$ into an
affine space and give explicit equations of the universal curve (away from
characteristics 2 and 3). This construction can be viewed as a generalization
of the Weierstrass cubic and the j-invariant of an elliptic curve to the case
g>1. Our main result is that in characteristics different from 2 and 3 our
moduli space of non-special curves is isomorphic to the moduli space of minimal
A-infinity structures on a certain finite-dimensional graded associative
algebra $E_g$ (introduced in arXiv:1208.6332). We show how to compute
explicitly the A-infinity structure associated with a curve $(C,p_1,...,p_g)$
in terms of certain canonical generators of the algebra of functions on
$C-\{p_1,...,p_g\}$ and canonical formal parameters at the marked points. We
study the GIT quotients associated with our representation of ${\mathcal
U}^{ns,a}_{g,g}$ as the quotient of an affine scheme by ${\mathbb G}_m^g$ and
show that some of the corresponding stack quotients give modular
compactifications of ${\mathcal M}_{g,g}$ in the sense of arXiv:0902.3690. We
also consider an analogous picture for curves of arithmetic genus 0 with n
marked points which gives a new presentation of the moduli space of
$\psi$-stable curves (also known as Boggi-stable curves) and its interpretation
in terms of $A_\infty$-structures.


title:
Constraint Reduction using Marginal Polytope Diagrams for MAP LP
  Relaxations

abstract:
  LP relaxation-based message passing algorithms provide an effective tool for
MAP inference over Probabilistic Graphical Models. However, different LP
relaxations often have different objective functions and variables of differing
dimensions, which presents a barrier to effective comparison and analysis. In
addition, the computational complexity of LP relaxation-based methods grows
quickly with the number of constraints. Reducing the number of constraints
without sacrificing the quality of the solutions is thus desirable.
  We propose a unified formulation under which existing MAP LP relaxations may
be compared and analysed. Furthermore, we propose a new tool called Marginal
Polytope Diagrams. Some properties of Marginal Polytope Diagrams are exploited
such as node redundancy and edge equivalence. We show that using Marginal
Polytope Diagrams allows the number of constraints to be reduced without
loosening the LP relaxations. Then, using Marginal Polytope Diagrams and
constraint reduction, we develop three novel message passing algorithms, and
demonstrate that two of these show a significant improvement in speed over
state-of-art algorithms while delivering a competitive, and sometimes higher,
quality of solution.


title: A Class of Five-weight Cyclic Codes and Their Weight Distribution

abstract:
  In this paper, a family of five-weight reducible cyclic codes is presented.
Furthermore, the weight distribution of these cyclic codes is determined, which
follows from the determination of value distributions of certain exponential
sums.


title: Finite forms of Gowers' Theorem on the oscillation stability of $c_0$

abstract:
  We give a constructive proof of the finite version of Gowers' $FIN_k$ Theorem
and analyse the corresponding upper bounds. The $FIN_k$ Theorem is closely
related to the oscillation stability of $c_0$. The stabilization of Lipschitz
functions on arbitrary finite dimensional Banach spaces was studied well before
by V. Milman. We compare the finite $FIN_k$ Theorem with the finite
stabilization principle in the case of spaces of the form $\ell_{\infty}^n$,
$n\in\mathbb{N}$ and establish a much slower growing upper bound for the finite
stabilization principle in this particular case.


title:
A Review of Temporal Aspects of Hand Gesture Analysis Applied to
  Discourse Analysis and Natural Conversation

abstract:
  Lately, there has been an increasing interest in hand gesture analysis
systems. Recent works have employed pattern recognition techniques and have
focused on the development of systems with more natural user interfaces. These
systems may use gestures to control interfaces or recognize sign language
gestures, which can provide systems with multimodal interaction; or consist in
multimodal tools to help psycholinguists to understand new aspects of discourse
analysis and to automate laborious tasks. Gestures are characterized by several
aspects, mainly by movements and sequence of postures. Since data referring to
movements or sequences carry temporal information, this paper presents a
literature review about temporal aspects of hand gesture analysis, focusing on
applications related to natural conversation and psycholinguistic analysis,
using Systematic Literature Review methodology. In our results, we organized
works according to type of analysis, methods, highlighting the use of Machine
Learning techniques, and applications.


title: From Brans-Dicke theory to Newtonian gravity

abstract:
  We present the new interpretation of scalar field for the Brans-Dicke theory.
This interpretation is obtained by considering a fixed spacetime structure of
manifold.


title: Adjoint associativity: an invitation to algebra in infinity-categories

abstract:
  There appeared not long ago a Reduction Formula for derived Hochschild
cohomology, that has been useful e.g., in the study of Gorenstein maps and of
rigidity w.r.t. semidualizing complexes. The formula involves the relative
dualizing complex of a ring homomorphism, so brings out a connection between
Hochschild homology and Grothendieck duality. The proof, somewhat ad hoc, uses
homotopical considerations via a number of noncanonical projective and
injective resolutions of differential graded objects. Recent efforts aim at
more intrinsic approaches, hopefully upgradable to "higher" contexts--like
bimodules over algebras in infinity-categories. This would lead to wider
applicability, for example to ring spectra; and the methods might be
globalizable, revealing some homotopical generalizations of aspects of
Grothendieck duality. (The original formula has a geometric version, proved by
completely different methods coming from duality theory.) A first step is to
extend Hom-Tensor adjunction--adjoint associativity--to the infinity-category
setting.


title:
A Mid-infrared Study of RR Lyrae Stars with the WISE All-Sky Data
  Release

abstract:
  We present a group of 3740 previously identified RR Lyrae variables
well-observed with the Wide-field Infrared Survey Explorer (WISE). We explore
how the shape of the generic RR Lyrae mid-infrared light curve evolves in
period-space, comparing light curves in mid-infrared and optical bands. We find
that optical light curves exhibit high amplitudes and a large spectrum of light
curve shapes, while mid-infrared light curves have low amplitudes and uniform
light curve shapes. From the period-space analysis, we hope to improve the
classification methods of RR Lyrae variables and enable reliable discovery of
these pulsators in the WISE catalog and future mid-infrared surveys such as the
James Webb Space Telescope (JWST). We provide mid-infrared templates for
typical RR Lyrae stars and demonstrate how these templates can be applied to
improve estimates of mid-infrared RR Lyrae mean magnitude, which is used for
distance measurement. This method of template fitting is particularly
beneficial for improving observational efficiency. For example, using light
curves with observational noise of 0.05 mag, we obtain the same level of
accuracy in mean magnitude estimates for light curves randomly sampled at 12
data points with template fitting as with light curves randomly sampled at 20
data points with harmonic modelling.


title: A generic model of dyadic social relationships

abstract:
  We introduce a model of dyadic social interactions and establish its
correspondence with relational models theory (RMT), a theory of human social
relationships. RMT posits four elementary models of relationships governing
human interactions, singly or in combination: Communal Sharing, Authority
Ranking, Equality Matching, and Market Pricing. To these are added the limiting
cases of asocial and null interactions, whereby people do not coordinate with
reference to any shared principle. Our model is rooted in the observation that
each individual in a dyadic interaction can do either the same thing as the
other individual, a different thing or nothing at all. To represent these three
possibilities, we consider two individuals that can each act in one out of
three ways toward the other: perform a social action X or Y, or alternatively
do nothing. We demonstrate that the relationships generated by this model
aggregate into six exhaustive and disjoint categories. We propose that four of
these categories match the four relational models, while the remaining two
correspond to the asocial and null interactions defined in RMT. We generalize
our results to the presence of N social actions. We infer that the four
relational models form an exhaustive set of all possible dyadic relationships
based on social coordination. Hence, we contribute to RMT by offering an answer
to the question of why there could exist just four relational models. In
addition, we discuss how to use our representation to analyze data sets of
dyadic social interactions, and how social actions may be valued and matched by
the agents.


title: A Bayesian Approach to Graphical Record Linkage and De-duplication

abstract:
  We propose an unsupervised approach for linking records across arbitrarily
many files, while simultaneously detecting duplicate records within files. Our
key innovation involves the representation of the pattern of links between
records as a bipartite graph, in which records are directly linked to latent
true individuals, and only indirectly linked to other records. This flexible
representation of the linkage structure naturally allows us to estimate the
attributes of the unique observable people in the population, calculate
transitive linkage probabilities across records (and represent this visually),
and propagate the uncertainty of record linkage into later analyses. Our method
makes it particularly easy to integrate record linkage with post-processing
procedures such as logistic regression, capture-recapture, etc. Our linkage
structure lends itself to an efficient, linear-time, hybrid Markov chain Monte
Carlo algorithm, which overcomes many obstacles encountered by previously
record linkage approaches, despite the high-dimensional parameter space. We
illustrate our method using longitudinal data from the National Long Term Care
Survey and with data from the Italian Survey on Household and Wealth, where we
assess the accuracy of our method and show it to be better in terms of error
rates and empirical scalability than other approaches in the literature.


title: K-homological finiteness and hyperbolic groups

abstract:
  Motivated by classical facts concerning closed manifolds, we introduce a
strong finiteness property in K-homology. We say that a C*-algebra has
uniformly summable K-homology if all its K-homology classes can be represented
by Fredholm modules which are finitely summable over the same dense subalgebra,
and with the same degree of summability. We show that two types of C*-algebras
associated to hyperbolic groups - the C*-crossed product for the boundary
action, and the reduced group C*-algebra - have uniformly summable K-homology.
We provide explicit summability degrees, as well as explicit finitely summable
representatives for the K-homology classes.


title:
High-fidelity adiabatic inversion of a $^{31}\mathrm{P}$ electron spin
  qubit in natural silicon

abstract:
  The main limitation to the high-fidelity quantum control of spins in
semiconductors is the presence of strongly fluctuating fields arising from the
nuclear spin bath of the host material. We demonstrate here a substantial
improvement in single-qubit gate fidelities for an electron spin qubit bound to
a $^{31}$P atom in natural silicon, by applying adiabatic inversion instead of
narrow-band pulses. We achieve an inversion fidelity of 97%, and we observe
signatures in the spin resonance spectra and the spin coherence time that are
consistent with the presence of an additional exchange-coupled donor. This work
highlights the effectiveness of adiabatic inversion techniques for spin control
in fluctuating environments.


title:
Classification of no-signaling correlations and the guess your
  neighbor's input game

abstract:
  We formulate a series of non-trivial equalities which are satisfied by all
no-signaling correlations, meaning that no faster-than-light communication is
allowed with the resource of these correlations. All quantum and classical
correlations satisfy these equalities since they are no-signaling. By applying
these equalities, we provide a general framework for solving the multipartite
"guess your neighbor's input" (GYNI) game, which is naturally no-signaling but
shows conversely that general no-signaling correlations are actually more
non-local than those allowed by quantum mechanics. We confirm the validity of
our method for number of players from 3 up to 19, thus providing convincing
evidence that it works for the general case. In addition, we solve analytically
the tripartite GYNI and obtain a computable measure of supra-quantum
correlations. This result simplifies the defined optimization procedure to an
analytic formula, thus characterizing explicitly the boundary between quantum
and supra-quantum correlations. In addition, we show that the gap between
quantum and no-signaling boundaries containing supra-quantum correlations can
be closed by local orthogonality conditions in the tripartite case. Our results
provide a computable classification of no-signaling correlations.


title:
Extreme Eigenvalues of Large Dimensional Quaternion Sample Covariance
  Matrix

abstract:
  In this paper, we shall investigate the almost sure limits of the largest and
smallest eigenvalues of a quaternion sample covariance matrix. Suppose that
$\mathbf X_n$ is a $p\times n$ matrix whose elements are independent quaternion
variables with mean zero, variance 1 and uniformly bounded fourth moments.
Denote $\mathbf S_n=\frac{1}{n}\mathbf X_n\mathbf X_n^*$. In this paper, we
shall show that $s_{\max}\left(\mathbf S_n\right)=s_{p}\left(\mathbf
S_n\right)\to\left(1+\sqrt y\right)^2, a.s.$ and $s_{\min}\left(\mathbf
S_n\right)\to\left(1-\sqrt y\right)^2,a.s.$ as $n\to\infty$, where $y=\lim
p/n$,
  $s_1\left(\mathbf S_n\right)\le\cdots\le s_{p}\left(\mathbf S_n\right)$ are
the eigenvalues of $\mathbf{S}_n$, $s_{\min}\left(\mathbf
S_n\right)=s_{p-n+1}\left(\mathbf S_n\right)$ when $p>n$ and
$s_{\min}\left(\mathbf S_n\right)=s_1\left(\mathbf S_n\right)$ when $p\le n$.
We also prove that the set of conditions are necessary for
$s_{\max}\left(\mathbf S_n\right)\to\left(1+\sqrt y\right)^2, a.s.$ when the
entries of $\mathbf {X}_n$ are i. i. d.


title: On the Local-Global Principle for Integral Apollonian-3 Circle Packings

abstract:
  In this paper we study the integral properties of Apollonian-3 circle
packings, which are variants of the standard Apollonian circle packings.
Specifically, we study the reduction theory, formulate a local-global
conjecture, and prove a density one version of this conjecture. Along the way,
we prove a uniform spectral gap for congruence towers of the symmetry group.


title:
Similariton-like Pulses in Synchronously Pumped Singly Resonant Optical
  Parametric Oscillators

abstract:
  Similariton-like pulses are found to be formed in synchronously pumped singly
resonant optical parametric oscillators (OPO) by numerical simulation. The
nonlinear coupled-wave equations can be reduced to inhomogeneous nonlinear
Schr\"{o}dinger equation. The signal pulses with parabola-like temporal
intensity profile and linear chirp are presented in OPO. The similariton-like
pulses in OPO have many practical and potential applications.


title: Logics for complexity classes

abstract:
  A new syntactic characterization of problems complete via Turing reductions
is presented. General canonical forms are developed in order to define such
problems. One of these forms allows us to define complete problems on ordered
structures, and another form to define them on unordered non-Aristotelian
structures. Using the canonical forms, logics are developed for complete
problems in various complexity classes. Evidence is shown that there cannot be
any complete problem on Aristotelian structures for several complexity classes.
Our approach is extended beyond complete problems. Using a similar form, a
logic is developed to capture the complexity class $NP\cap coNP$ which very
likely contains no complete problem.


title:
Inertial migration of a rigid sphere in three-dimensional Poiseuille
  flow

abstract:
  Inertial lift forces are exploited within inertial microfluidic devices to
position, segregate, and sort particles or droplets. However the forces and
their focusing positions can currently only be predicted by numerical
simulations, making rational device design very difficult. Here we develop
theory for the forces on particles in microchannel geometries. We use numerical
experiments to dissect the dominant balances within the Navier-Stokes equations
and derive an asymptotic model to predict the lateral force on the particle as
a function of particle size. Our asymptotic model is valid for a wide array of
particle sizes and Reynolds numbers, and allows us to predict how focusing
position depends on particle size.


title:
A Majorization-Minimization Algorithm for Computing the Karcher Mean of
  Positive Definite Matrices

abstract:
  An algorithm for computing the Karcher mean of $n$ positive definite matrices
is proposed, based on the majorization-minimization (MM) principle. The
proposed MM algorithm is parameter-free, does not need to choose step sizes,
and has a theoretical guarantee of asymptotic linear convergence.


title:
Continuous-Variable Measurement-Device-Independent Quantum Key
  Distribution

abstract:
  We propose a continuous-variable measurement-device-independent quantum key
distribution (CV-MDI QKD) protocol, in which detection is conducted by an
untrusted third party. Our protocol can defend all detector side channels,
which seriously threaten the security of a practical CV QKD system. Its
security analysis against arbitrary collective attacks is derived based on the
fact that the entanglement-based scheme of CV-MDI QKD is equivalent to the
conventional CV QKD with coherent states and heterodyne detection. We find that
the maximal total transmission distance is achieved by setting the untrusted
third party close to one of the legitimate users. Furthermore, an alternate
detection scheme, a special application of CV-MDI QKD, is proposed to enhance
the security of the standard CV QKD system.


title: Long-range interactions, doubling measures and Tsallis entropy

abstract:
  We present a path toward determining the statistical origin of the
thermodynamic limit for systems with long-range interactions. We assume
throughout that the systems under consideration have thermodynamic properties
given by the Tsallis entropy. We rely on the composition property of the
Tsallis entropy for determining effective metrics and measures on their
configuration/phase spaces. We point out the significance of Muckenhoupt
weights, of doubling measures and of doubling measure-induced metric
deformations of the metric. We comment on the volume deformations induced by
the Tsallis entropy composition and on the significance of functional spaces
for these constructions.

categories: cond-mat.stat-mech math-ph math.MP nlin.CD


title:
Nonequilibrium dynamics of one-dimensional hard-core anyons following a
  quench: Complete relaxation of one-body observables

abstract:
  We demonstrate the role of interactions in driving the relaxation of an
isolated integrable quantum system following a sudden quench. We consider a
family of integrable hard-core lattice anyon models that continuously
interpolates between noninteracting spinless fermions and strongly interacting
hard-core bosons. A generalized Jordan-Wigner transformation maps the entire
family to noninteracting fermions. We find that, aside from the singular
free-fermion limit, the entire single-particle density matrix and therefore all
one-body observables relax to the predictions of the generalized Gibbs ensemble
(GGE). This demonstrates that, in the presence of interactions, correlations
between particles in the many-body wave function provide the effective
dissipation required to drive relaxation of all one-body observables to the
GGE. This relaxation does not depend on translational invariance, or the
tracing out of any spatial domain of the system.


title: String bordism and chromatic characteristics

abstract:
  We introduce characteristics into chromatic homotopy theory. This parallels
the prime characteristics in number theory as well as in our earlier work on
structured ring spectra and unoriented bordism theory. Here, the K(n)-local
Hopkins-Miller classes $\zeta_n$ take the places of the prime numbers, and this
allows us to discuss higher bordism theories. We prove that the
K(2)-localizations of the spectrum of topological modular forms as well as the
string bordism spectrum have characteristic $\zeta_2$.


title: DeepPose: Human Pose Estimation via Deep Neural Networks

abstract:
  We propose a method for human pose estimation based on Deep Neural Networks
(DNNs). The pose estimation is formulated as a DNN-based regression problem
towards body joints. We present a cascade of such DNN regressors which results
in high precision pose estimates. The approach has the advantage of reasoning
about pose in a holistic fashion and has a simple but yet powerful formulation
which capitalizes on recent advances in Deep Learning. We present a detailed
empirical analysis with state-of-art or better performance on four academic
benchmarks of diverse real-world images.


title:
An Intuitive Graphical Webserver for Multiple-Choice Protein Sequence
  Search

abstract:
  Every day tens of thousands of sequence searches and sequence alignment
queries are submitted to webservers. The capitalized word "BLAST" become a
verb, describing the act of performing sequence search and alignment. However,
if one needs to search for sequences that contain, for example, two hydrophobic
and three polar residues at five given positions, the query formation on the
most frequently used webservers will be difficult. Some servers support the
formation of queries with regular expressions, but most of the users are
unfamiliar with their syntax. Here we present an intuitive, easily applicable
webserver, the Protein Sequence Analysis server, that allows the formation of
multiple choice queries by simply drawing the residues to their positions; if
more than one residue are drawn to the same position, then they will be nicely
stacked on the user interface, indicating the multiple choice at he given
position. This computer-game like interface is natural and intuitive, and the
coloring of the residues makes possible to form queries requiring not just
certain amino acids in the given positions, but also small nonpolar, negatively
charged, hydrophobic, positively charged, or polar ones. The webserver is
available at http://psa.pitgroup.org.


title: Nonlocal heat equations: decay estimates and Nash inequalities

abstract:
  We obtain $L^q$--$L^p$ decay estimates, $1\le q<p<\infty$ for solutions of
nonlocal heat equations of the form $\partial_tu+\mathcal{L} u=0$. Here
$\mathcal{L}$ is an integral operator given by a symmetric nonnegative kernel
of L\'evy type. We obtain these estimates in terms only of the behaviour of the
kernel at infinity, without any information of its behaviour at the origin.
This includes bounded and unbounded transition probability densities. An
equivalence between the decay and a restricted Nash inequality is shown. We
also prove that $\lim_{t\to \infty}\|u(t)\|_\infty=0$. Finally we deal with
nonlinear nonlocal equations of porous medium type
$\partial_tu+\mathcal{L}\varphi(u)=0$.


title:
Virial expansion of a harmonically trapped Fermi gas across a narrow
  Feshbach resonance

abstract:
  We theoretically investigate the high-temperature thermodynamics of a
harmonically trapped Fermi gas across a narrow Feshbach resonance, by using the
second-order quantum virial expansion, and point out some new features compared
to the broad resonance. The interatomic interaction is modeled by the
pseudopotential with an additional parameter, i.e., the effective range, to
characterize the narrow resonance width. Deeply inside the width of a narrow
Feshbach resonance, we find the second virial coefficient evolves with the
effective range from the well-known universal value 1/4 in the broad-resonance
limit to one another value 1/2 in the narrow-resonance limit. This means the
Fermi gas is more strongly interacted at the narrow resonance. In addition, far
beyond the resonance width, we find the harmonically trapped Fermi gas still
manifests appreciable interaction effect across a narrow Feshbach resonance,
which is contrary to our knowledge of the broad Feshbach resonance. All our
results can be directly tested in current narrow Feshbach resonance
experiments, which are generally carried out in a harmonic trap.


title:
Uniform convergence of convolution estimators for the response density
  in nonparametric regression

abstract:
  We consider a nonparametric regression model $Y=r(X)+\varepsilon$ with a
random covariate $X$ that is independent of the error $\varepsilon$. Then the
density of the response $Y$ is a convolution of the densities of $\varepsilon$
and $r(X)$. It can therefore be estimated by a convolution of kernel estimators
for these two densities, or more generally by a local von Mises statistic. If
the regression function has a nowhere vanishing derivative, then the
convolution estimator converges at a parametric rate. We show that the
convergence holds uniformly, and that the corresponding process obeys a
functional central limit theorem in the space $C_0(\mathbb {R})$ of continuous
functions vanishing at infinity, endowed with the sup-norm. The estimator is
not efficient. We construct an additive correction that makes it efficient.


title: Filtering with State-Observation Examples via Kernel Monte Carlo Filter

abstract:
  This paper addresses the problem of filtering with a state-space model.
Standard approaches for filtering assume that a probabilistic model for
observations (i.e. the observation model) is given explicitly or at least
parametrically. We consider a setting where this assumption is not satisfied;
we assume that the knowledge of the observation model is only provided by
examples of state-observation pairs. This setting is important and appears when
state variables are defined as quantities that are very different from the
observations. We propose Kernel Monte Carlo Filter, a novel filtering method
that is focused on this setting. Our approach is based on the framework of
kernel mean embeddings, which enables nonparametric posterior inference using
the state-observation examples. The proposed method represents state
distributions as weighted samples, propagates these samples by sampling,
estimates the state posteriors by Kernel Bayes' Rule, and resamples by Kernel
Herding. In particular, the sampling and resampling procedures are novel in
being expressed using kernel mean embeddings, so we theoretically analyze their
behaviors. We reveal the following properties, which are similar to those of
corresponding procedures in particle methods: (1) the performance of sampling
can degrade if the effective sample size of a weighted sample is small; (2)
resampling improves the sampling performance by increasing the effective sample
size. We first demonstrate these theoretical findings by synthetic experiments.
Then we show the effectiveness of the proposed filter by artificial and real
data experiments, which include vision-based mobile robot localization.


title: On plane-wave relativistic electrodynamics in plasmas and in vacuum

abstract:
  We revisit the exact microscopic equations (in differential, and equivalent
integral form) ruling a relativistic cold plasma after the plane-wave Ansatz,
without customary approximations. We show that in the Eulerian description the
motion of a very diluted plasma initially at rest and excited by an arbitrary
transverse plane electromagnetic travelling-wave has a very simple and explicit
dependence on the transverse electromagnetic potential; for a non-zero density
plasma the above motion is a good approximation of the real one as long as the
back-reaction of the charges on the electromagnetic field can be neglected,
i.e. for a time lapse decreasing with the plasma density, and can be used as
initial step in an iterative resolution scheme.
  As one of many possible applications, we use these results to describe how
the ponderomotive force of a very intense and short plane laser pulse hitting
normally the surface of a plasma boosts the surface electrons into the ion
background. Because of this penetration the electrons are then pulled back by
the electric force exerted by the ions and may leave the plasma with high
energy in the direction opposite to that of propagation of the pulse [G. Fiore,
R. Fedele, U. De Angelis, "The slingshot effect: a possible new laser-driven
high energy acceleration mechanism for electrons", arXiv:1309.1400].


title: A Functional Approach to Standard Binary Heaps

abstract:
  This paper describes a new and purely functional implementation technique of
binary heaps. A binary heap is a tree-based data structure that implements
priority queue operations (insert, remove, minimum/maximum) and guarantees at
worst logarithmic running time for them. Approaches and ideas described in this
paper present a simple and asymptotically optimal implementation of immutable
binary heap.


title:
Tunneling, self-trapping and manipulation of higher modes of a BEC in a
  double well

abstract:
  We consider an atomic Bose-Einstein condensate trapped in a symmetric
one-dimensional double well potential in the four-mode approximation and show
that the semiclassical dynamics of the two ground state modes can be strongly
influenced by a macroscopic occupation of the two excited modes. In particular,
the addition of the two excited modes already unveils features related to the
effect of dissipation on the condensate. In general, we find a rich dynamics
that includes Rabi oscillations, a mixed Josephson-Rabi regime, self-trapping,
chaotic behavior, and the existence of fixed points. We investigate how the
dynamics of the atoms in the excited modes can be manipulated by controlling
the atomic populations of the ground states.


title: On proximality with Banach density one

abstract:
  Let $(X,T)$ be a topological dynamical system. A pair of points $(x,y)\in
X^2$ is called Banach proximal if for any $\epsilon>0$, the set
$\{n\in\mathbb{Z}:\ d(T^nx,T^ny)<\epsilon\}$ has Banach density one. We study
the structure of the Banach proximal relation. An useful tool is the notion of
the support of a topological dynamical system. We show that a dynamical system
is strongly proximal if and only if every pair in $X^2$ is Banach proximal. A
subset $S$ of $X$ is Banach scrambled if every two distinct points in $S$ form
a Banach proximal pair but not asymptotic. We construct a dynamical system with
the whole space being a Banach scrambled set. Even though the Banach proximal
relation of the full shift is of first category, it has a dense Mycielski
invariant Banach scrambled set. We also show that for an interval map it is
Li-Yorke chaotic if and only if it has a Cantor Banach scrambled set.


title: Formation and dynamics of fission fragments

abstract:
  Although the overall time-scale for nuclear fission is long, suggesting a
slow process, rapid shape evolution occurs in its later stages near scission.
Theoretical prediction of the fission fragments and their characteristics are
often based on the assumption that the internal degrees of freedom are
equilibrated along the fission path. However, this adiabatic approximation may
break down near scission. This is studied for the symmetric fission of
$^{258,264}$Fm. The non-adiabatic evolution is computed using the
time-dependent Hartree-Fock method, starting from an adiabatic configuration
where the fragments have acquired their identity. It is shown that dynamics has
an important effect on the kinetic and excitation energies of the fragments.
The vibrational modes of the fragments in the post-scission evolution are also
analyzed.


title: A new model for quantum dot light emitting-absorbing devices

abstract:
  Motivated by the Jaynes-Cummings (JC) model, we consider here a quantum dot
coupled simultaneously to a reservoir of photons and to two electric leads
(free-fermion reservoirs). This Jaynes-Cummings-Leads (JCL) model makes
possible that the fermion current through the dot creates a photon flux, which
describes a light-emitting device. The same model is also describe a
transformation of the photon flux into current of fermions, i.e. a quantum dot
light-absorbing device. The key tool to obtain these results is an abstract
Landauer-B\"uttiker formula.


title:
Goos-Hanchen-like shift of three-level matter wave incident on Raman
  beams

abstract:
  When a three-level atomic wavepacket is obliquely incident on a "edium slab"
consisting of two far-detuned laser beams, there exists lateral shift between
reflection and incident points at the surface of a "medium slab", analogous to
optical Goos-Hanchen effect. We evaluate lateral shifts for reflected and
transmitted waves via expansion of reflection and transmission coefficients, in
contrast to the stationary phase method. Results show that lateral shifts can
be either positive or negative dependent on the incident angle and the atomic
internal state. Interestingly, a giant lateral shift of transmitted wave with
high transmission probability is observed, which is helpful to observe such
lateral shifts experimentally. Different from the two-level atomic wave case,
we find that quantum interference between different atomic states plays crucial
role on the transmission intensity and corresponding lateral shifts.


title:
Non-vanishing of $L$-functions associated to cusp forms of half-integral
  weight

abstract:
  In this article, we prove non-vanishing results for $L$-functions associated
to holomorphic cusp forms of half-integral weight on average (over an
orthogonal basis of Hecke eigenforms). This extends a result of W. Kohnen to
forms of half-integral weight.


title: Generalized Quantum Arthur-Merlin Games

abstract:
  This paper investigates the role of interaction and coins in public-coin
quantum interactive proof systems (also called quantum Arthur-Merlin games).
While prior works focused on classical public coins even in the quantum
setting, the present work introduces a generalized version of quantum
Arthur-Merlin games where the public coins can be quantum as well: the verifier
can send not only random bits, but also halves of EPR pairs. First, it is
proved that the class of two-turn quantum Arthur-Merlin games with quantum
public coins, denoted qq-QAM in this paper, does not change by adding a
constant number of turns of classical interactions prior to the communications
of the qq-QAM proof systems. This can be viewed as a quantum analogue of the
celebrated collapse theorem for AM due to Babai. To prove this collapse
theorem, this paper provides a natural complete problem for qq-QAM: deciding
whether the output of a given quantum circuit is close to a totally mixed
state. This complete problem is on the very line of the previous studies
investigating the hardness of checking the properties related to quantum
circuits, and is of independent interest. It is further proved that the class
qq-QAM_1 of two-turn quantum-public-coin quantum Arthur-Merlin proof systems
with perfect completeness gives new bounds for standard well-studied classes of
two-turn interactive proof systems. Finally, the collapse theorem above is
extended to comprehensively classify the role of interaction and public coins
in quantum Arthur-Merlin games: it is proved that, for any constant m>1, the
class of problems having an m-turn quantum Arthur-Merlin proof system is either
equal to PSPACE or equal to the class of problems having a two-turn quantum
Arthur-Merlin game of a specific type, which provides a complete set of quantum
analogues of Babai's collapse theorem.


title: Ergodicity and mixing bounds for the Fisher-Snedecor diffusion

abstract:
  We consider the Fisher-Snedecor diffusion; that is, the Kolmogorov-Pearson
diffusion with the Fisher-Snedecor invariant distribution. In the nonstationary
setting, we give explicit quantitative rates for the convergence rate of
respective finite-dimensional distributions to that of the stationary
Fisher-Snedecor diffusion, and for the $\beta$-mixing coefficient of this
diffusion. As an application, we prove the law of large numbers and the central
limit theorem for additive functionals of the Fisher-Snedecor diffusion and
construct $P$-consistent and asymptotically normal estimators for the
parameters of this diffusion given its nonstationary observation.