title:
Search for Hyper Infrared-Luminous Dust Obscured Galaxies selected with
  WISE and SDSS

abstract:
  We aim to search for hyperliminous infrared (IR) galaxies (HyLIRGs) with IR
luminosity $L_{{\rm IR}}$ $>$ 10$^{13}$ $L_{\odot}$ by applying the selection
method of Dust Obscured Galaxies (DOGs). They are spatially rare but could
correspond to a maximum phase of cosmic star formation and/or active galactic
nucleus (AGN) activity, hence they are a crucial population for understanding
the star formation and mass assembly history of galaxies. Combining the optical
and IR catalogs obtained from Sloan Digital Sky Survey (SDSS) and Wide-field
Infrared Survey Explorer (WISE), we performed the extensive HyLIRGs survey; we
selected 5,311 IR-bright DOGs with $i$ -- [22] $>$ 7.0 and flux at 22 $\mu$m
$>$ 3.8 mJy in 14,555 deg$^2$, where $i$ and [22] are $i$-band and 22 $\mu$m AB
magnitudes, respectively. Among them, 67 DOGs have reliable spectroscopic
redshifts that enable us to estimate their total IR luminosity based on the SED
fitting. Consequently, we successfully discovered 24 HyLIRGs among the 67
spectroscopically-confirmed DOGs. We found that (i) $i$ - [22] color of
IR-bright DOGs correlates with the total IR luminosity and (ii) surface number
density of HyLIRGs is $>$ 0.17 deg$^{-2}$. A high fraction ($\sim$ 73%) of
IR-bright DOGs with $i$ - [22] $>$ 7.5 shows $L_{{\rm IR}}$ $>$ 10$^{13}$
$L_{\odot}$, and the DOGs criterion we adopted could be independently-effective
against "W1W2-dropout method" based on four WISE bands, for searching hyper IR
luminous populations of galaxies.


title:
Exact simulation of the jump times of a class of Piecewise Deterministic
  Markov Processes

abstract:
  In this paper, we are interested in the exact simulation of a class of
Piecewise Deterministic Markov Processes (PDMP). We show how to perform
efficient thinning algorithms depending on the jump rate bound. For different
types of jump rate bounds, we compare theoretically the mean number of
generated (total) jump times and we compare numerically the simulation times.
We use thinning algorithms on Hodgkin-Huxley models with Markovian ion channels
dynamic to illustrate the results.


title: A first-order stochastic primal-dual algorithm with correction step

abstract:
  We investigate the convergence properties of a stochastic primal-dual
splitting algorithm for solving structured monotone inclusions involving the
sum of a cocoercive operator and a composite monotone operator. The proposed
method is the stochastic extension to monotone inclusions of a proximal method
studied in {\em Y. Drori, S. Sabach, and M. Teboulle, A simple algorithm for a
class of nonsmooth convex-concave saddle-point problems, 2015} and {\em I.
Loris and C. Verhoeven, On a generalization of the iterative soft-thresholding
algorithm for the case of non-separable penalty, 2011} for saddle point
problems. It consists in a forward step determined by the stochastic evaluation
of the cocoercive operator, a backward step in the dual variables involving the
resolvent of the monotone operator, and an additional forward step using the
stochastic evaluation of the cocoercive introduced in the first step. We prove
weak almost sure convergence of the iterates by showing that the primal-dual
sequence generated by the method is stochastic quasi Fej\'er-monotone with
respect to the set of zeros of the considered primal and dual inclusions.
Additional results on ergodic convergence in expectation are considered for the
special case of saddle point models.


title: CNN for License Plate Motion Deblurring

abstract:
  In this work we explore the previously proposed approach of direct blind
deconvolution and denoising with convolutional neural networks in a situation
where the blur kernels are partially constrained. We focus on blurred images
from a real-life traffic surveillance system, on which we, for the first time,
demonstrate that neural networks trained on artificial data provide superior
reconstruction quality on real images compared to traditional blind
deconvolution methods. The training data is easy to obtain by blurring sharp
photos from a target system with a very rough approximation of the expected
blur kernels, thereby allowing custom CNNs to be trained for a specific
application (image content and blur range). Additionally, we evaluate the
behavior and limits of the CNNs with respect to blur direction range and
length.


title:
Line-driven ablation of circumstellar disks: I. Optically thin decretion
  disks of classical Oe/Be stars

abstract:
  The extreme luminosities of hot, massive stars drive strong stellar winds
through UV line-scattering. For OB stars with an orbiting circumstellar disk,
we explore the effect of such line-scattering in ablating disk material,
initially focusing on the marginally optically thin decretion disks of
classical Oe and Be stars. For this we apply a multi-dimensional
radiation-hydrodynamics code, assuming optically thin ray tracing for the
stellar continuum and a multi-ray Sobolev treatment of the line transfer. This
accounts for desaturation of line-absorption by Keplerian shear in the disk,
and associated driving by non-radial photons. Results show dense,
intermediate-speed surface ablation, consistent with the strong, blue-shifted
absorption seen in UV wind lines of Be shell stars. The asymptotic ablation
rate is typically an order-unity factor times the stellar wind mass loss rate,
leading to disk destruction times of order months to years for Be disks,
consistent with observations. The much stronger radiative forces of O stars
reduce this time to order days, making sustaining a disk difficult, and so
providing a natural explanation for the rarity of Galactic Oe stars.
Additionally, the weakened line-driving at lower metallicity implies both a
reduction in the winds that help spin-down stars from near-critical rotation,
and in the ablation of decretion disks, thus providing a natural explanation
for the higher fraction of Classical Be stars, and the presence of Oe stars, in
the Magellanic Clouds. We conclude with a discussion of future extensions to
study line-driven ablation of denser, optically thick, accretion disks around
pre-main-sequence massive stars.


title:
The Skyrme-TQRPA calculations of electron capture on hot nuclei in
  pre-supernova environment

abstract:
  We combine the thermal QRPA approach with the Skyrme energy density
functional theory (Skyrme-TQRPA) for modelling the process of electron capture
on nuclei in supernova environment. For a sample nucleus, $^{56}$Fe, the
Skyrme-TQRPA approach is applied to analyze thermal effects on the strength
function of GT$_+$ transitions which dominate electron capture at $E_e\le
30$~MeV. Several Skyrme interactions are used in order to verify the
sensitivity of the obtained results to the Skyrme force parameters.
Finite-temperature cross sections are calculated and the results are compared
with those of the other model calculations.


title: On Satisfiability Problems with a Linear Structure

abstract:
  It was recently shown \cite{STV} that satisfiability is polynomially solvable
when the incidence graph is an interval bipartite graph (an interval graph
turned into a bipartite graph by omitting all edges within each partite set).
Here we relax this condition in several directions: First, we show that it
holds for $k$-interval bigraphs, bipartite graphs which can be converted to
interval bipartite graphs by adding to each node of one side at most $k$ edges;
the same result holds for the counting and the weighted maximization version of
satisfiability. Second, given two linear orders, one for the variables and one
for the clauses, we show how to find, in polynomial time, the smallest $k$ such
that there is a $k$-interval bigraph compatible with these two orders. On the
negative side we prove that, barring complexity collapses, no such extensions
are possible for CSPs more general than satisfiability. We also show
NP-hardness of recognizing 1-interval bigraphs.


title:
Thermal simulation of magnetization reversals for size-distributed
  assemblies of core-shell exchange biased nanoparticles

abstract:
  A temperature dependent coherent magnetization reversal model is proposed for
size-distributed assemblies of ferromagnetic nanoparticles and
ferromagnetic-antiferromagnetic core-shell nanoparticles. The nanoparticles are
assumed to be of uniaxial anisotropy and all aligned along their easy axis. The
thermal dependence is included by considering thermal fluctuations, implemented
via the N\'eel-Arrhenius theory. Thermal and angular dependence of
magnetization reversal loops, coercive field and exchange-bias field are
obtained, showing that F-AF size-distributed exchange-coupled nanoparticles
exhibit temperature-dependent asymmetric magnetization reversal. Also,
non-monotonic evolutions of He and Hc with T are demonstrated. The angular
dependence of Hc with T exhibits a complex behavior, with the presence of an
apex, whose position and amplitude are strongly T dependent. The angular
dependence of He with T exhibits complex behaviors, which depends on the AF
anisotropy and exchange coupling. The resulting angular behavior demonstrates
the key role of the size distribution and temperature in the magnetic response
of nanoparticles.


title: Coherence turned on by incoherent light

abstract:
  One of the most pertinent problems in the debate on non-trivial quantum
effects in biology concerns natural photosynthesis. Since sunlight is composed
of thermal photons, it was argued to be unable to induce quantum coherence in
matter, and that quantum mechanics is therefore irrelevant for the dynamical
processes following photoabsorption. Our present analysis of a toy ``molecular
aggregate" -- composed of two dipole-dipole interacting two-level atoms treated
as an open quantum system -- however shows that incoherent excitations indeed
can trigger coherent dynamics that persist: We demonstrate that collective
decay processes induced by the dipole-dipole interaction create coherent
intermolecular transport -- regardless of the coherence properties of the
incoming radiation. Our analysis shows that the steady state coherence is
mediated by the population imbalance between the molecules and, therefore, {\it
increases} with the energy difference between the two-level atoms. Our results
establish the importance of collective decay processes in the study of
ultrafast photophysics, and especially their potential role to generate
stationary coherence in incoherently driven quantum transport.


title:
Temperature and thermodynamic structure of Einstein's equations for a
  cosmological black hole

abstract:
  It is expected that the cosmological black holes are the closest realistic
solutions of gravitational theories and they evolve with time. Moreover, the
natural way of defining thermodynamic entities for the stationary ones is not
applicable in the case of a time dependent spacetime. Here we confine our
discussion within the Sultana-Dyer metric which is a cosmological black hole
solution of Einstein's gravity. In literature, there exists two expressions of
horizon temperature -- one is time dependent and the other does not depend on
time. To single out the correct one we find the temperature by studying the
Hawking effect in the tunnelling formalism. This leads to time dependent
structure. After identifying the correct one, the Einstein's equations are
written on the horizon and we show that this leads to the first law of
thermodynamics. In this process the expressions for horizon entropy and energy,
obtained earlier by explicit calculations, are being used. This provides the
evidence that Einstein's equations have thermodynamic structure even for a
cosmological black hole spacetime. Moreover, this study further clarifies the
correctness of the expressions for the thermodynamic quantities; like
temperature, entropy and internal energy.


title:
Strong Ly alpha Emission in the Proximate Damped Ly alpha Absorption
  Trough toward the Quasar SDSS J095253.83+011422.0

abstract:
  SDSS J095253.83+011422.0 (SDSS J0952+0114) was reported by Hall et al. (2004)
as an exotic quasar at $z_{\rm em}=3.020$. In contrast to prominent broad
metal--line emissions with FWHM~9000 km/s, only a narrow Ly \alpha emission
line is present with FWHM~1000 km/s. The absence of broad Ly alpha emission
line has been a mystery for more than a decade. In this paper, we demonstrate
that this is due to dark Proximate Damped Ly alpha Absorption (PDLA) at $z_{\rm
abs}=3.010$ by identifying associated Lyman absorption line series from the
damped Ly beta up to Ly9, as well as the Lyman limit absorption edge. The PDLA
cloud has a column density of $\log N_{\rm H\,I}({\rm cm}^{-2})=21.8\pm0.2$, a
metallicity of [Zn/H]$>-1.0$, and a spatial extent exceeding the Narrow
Emission Line Region (NELR) of the quasar. With a luminosity of $L_{{\rm
Ly}\alpha}\sim10^{45}$ erg s$^{-1}$, the residual Ly alpha emission superposed
on the PDLA trough is of two orders of magnitude stronger than previous
reports. This is best explained as re-radiated photons arising from the quasar
outflowing gas at a scale larger than the NELR. The PDLA here, acting like a
natural coronagraph, provides us with a good insight into the illuminated gas
in the vicinity of the quasar, which are usually hard to resolve due to their
small size and "seeing fuzz" of bright quasars. Notably, SDSS J0952+0114
analogs might be easily omitted in the spectroscopic surveys of DLAs and PDLAs,
as their damped Ly alpha troughs can be fully filled by additional strong Ly
alpha emissions. Our preliminary survey shows that such systems are not very
rare. They are potentially a unique sample for probing strong quasar feedback
phenomena in the early universe.


title: Smoothed Particle Hydrodynamics modeling of granular column collapse

abstract:
  The Smoothed Particle Hydrodynamics (SPH) is a particle-based, Lagrangian
method for fluid-flow simulations. In this work, fundamental concepts of this
method are first briefly recalled. Then, the ability to accurately model
granular materials using an introduced visco-plastic constitutive rheological
model is studied. For this purpose sets of numerical calculations (2D and 3D)
of the fundamental problem of the collapse of initially vertical cylinders of
granular materials are performed. The results of modeling of columns with
different aspect ratios and different angles of internal friction are
presented. The numerical outcomes are assessed not only with respect to the
reference experimental data but also with respect to other numerical methods,
namely the Distinct Element Method and the Finite Element Method. In order to
improve the numerical efficiency of the method, the Graphics Processing Units
implementation is presented and some related issues are discussed. It is
believed that this study corresponds to a new application of SPH approaches for
simulations of granular media and results reveal the interest of this method to
capture fine details of processes of such complex problems as waves-seabed
interactions.


title:
Nonequilibrium Green's functions and atom-surface dynamics: Simple views
  from a simple model system

abstract:
  We employ Non-equilibrium Green's functions (NEGF) to describe the real-time
dynamics of an adsorbate-surface model system exposed to ultrafast laser
pulses. For a finite number of electronic orbitals, the system is solved
exactly and within different levels of approximation. Specifically i) the full
exact quantum mechanical solution for electron and nuclear degrees of freedom
is used to benchmark ii) the Ehrenfest approximation (EA) for the nuclei, with
the electron dynamics still treated exactly. Then, using the EA, electronic
correlations are treated with NEGF within iii) 2nd Born and with iv) a recently
introduced hybrid scheme, which mixes 2nd Born self-energies with
non-perturbative, local exchange-correlation potentials of Density Functional
Theory (DFT). Finally, the effect of a semi-infinite substrate is considered:
we observe that a macroscopic number of de-excitation channels can hinder
desorption. While very preliminary in character and based on a simple and
rather specific model system, our results clearly illustrate the large
potential of NEGF to investigate atomic desorption, and more generally, the non
equilibrium dynamics of material surfaces subject to ultrafast laser fields.


title:
The Efficiency of Self-Phoretic Propulsion Mechanisms with Surface
  Reaction Heterogeneity

abstract:
  We consider the efficiency of self-phoretic colloidal particles (swimmers) as
a function of the heterogeneity in the surface reaction rate. The set of fluid,
species, and electrostatic continuity equations is solved analytically using a
linearization and numerically using a finite-element method. To compare
spherical swimmers of different size and with heterogeneous catalytic
conversion rates, a 'swimmer efficiency' functional $\eta$ is introduced. It is
proven, that in order to obtain maximum swimmer efficiency the reactivity has
to be localized at the pole(s). Our results also shed light on the sensitivity
of the propulsion speed to details of the surface reactivity, a property that
is notoriously hard to measure. This insight can be utilized in the design of
new self-phoretic swimmers.


title:
Firefly Algorithm for optimization problems with non-continuous
  variables: A Review and Analysis

abstract:
  Firefly algorithm is a swarm based metaheuristic algorithm inspired by the
flashing behavior of fireflies. It is an effective and an easy to implement
algorithm. It has been tested on different problems from different disciplines
and found to be effective. Even though the algorithm is proposed for
optimization problems with continuous variables, it has been modified and used
for problems with non-continuous variables, including binary and integer valued
problems. In this paper a detailed review of this modifications of firefly
algorithm for problems with non-continuous variables will be discussed. The
strength and weakness of the modifications along with possible future works
will be presented.


title:
Weyl sums, mean value estimates, and Waring's problem with friable
  numbers

abstract:
  In this paper we study Weyl sums over friable integers (more precisely
$y$-friable integers up to $x$ when $y = (\log x)^C$ for a large constant $C$).
In particular, we obtain an asymptotic formula for such Weyl sums in major
arcs, nontrivial upper bounds for them in minor arcs, and moreover a mean value
estimate for friable Weyl sums with exponent essentially the same as in the
classical case. As an application, we study Waring's problem with friable
numbers, with the number of summands essentially the same as in the classical
case.


title: Critical growth fractional elliptic problem with singular nonlinearities

abstract:
  In this article, we study the following fractional Laplacian equation with
critical growth and singular nonlinearity $$\quad (-\Delta)^s u = \lambda a(x)
u^{-q} + u^{2^*_s-1}, \quad u>0 \; \text{in}\; \Omega,\quad u = 0 \;
\mbox{in}\; \mathbb{R}^n \setminus\Omega,$$ where $\Omega$ is a bounded domain
in $\mathbb{R}^n$ with smooth boundary $\partial \Omega$, $n > 2s,\; s \in
(0,1),\; \lambda >0,\; 0 < q \leq 1 $, $\theta \leq a(x) \in L^\infty(\Omega)$,
for some $\theta>0$ and $2^*_s=\frac{2n}{n-2s}$. We use variational methods to
show the existence and multiplicity of positive solutions of the above problem
with respect to the parameter $\lambda$.


title:
Multiple integral inequalities and stability analysis of time delay
  systems

abstract:
  This paper is devoted to stability analysis of continuous-time delay systems
based on a set of Lyapunov-Krasovskii functionals. New multiple integral
inequalities are derived that involve the famous Jensen's and Wirtinger's
inequalities, as well as the recently presented Bessel-Legendre inequalities of
A. Seuret and F. Gouaisbaut, (2015) and the Wirtinger-based multiple-integral
inequalities of M. Park et al. (2015) and T.H. Lee et al. (2015).
  The present paper aims at showing that the proposed set of sufficient
stability conditions can be arranged into a bidirectional hierarchy of LMIs
establishing a rigorous theoretical basis for comparison of conservatism of the
investigated methods. Numerical examples illustrate the efficiency of the
method.


title:
On the quenching of a nonlocal parabolic problem arising in
  electrostatic MEMS control

abstract:
  We consider a nonlocal parabolic model for a micro-electro-mechanical system.
Specifically, for a radially symmetric problem with monotonic initial data, it
is shown that the solution quenches, so that touchdown occurs in the device, in
a situation where there is no steady state. It is also shown that quenching
occurs at a single point and a bound on the approach to touchdown is obtained.
Numerical simulations illustrating the results are given.


title:
Finite-temperature hydrodynamics for one-dimensional Bose gases:
  Breathing mode oscillations as a case study

abstract:
  We develop a finite-temperature hydrodynamic approach for a harmonically
trapped one-dimensional quasicondensate and apply it to describe the phenomenon
of frequency doubling in the breathing-mode oscillations of its momentum
distribution. The doubling here refers to the oscillation frequency relative to
the oscillations of the real-space density distribution, invoked by a sudden
confinement quench. We find that the frequency doubling is governed by the
quench strength and the initial temperature, rather than by the crossover from
the ideal Bose gas to the quasicondensate regime. The hydrodynamic predictions
are supported by the results of numerical simulations based on a
finite-temperature c-field approach, and extend the utility of the hydrodynamic
theory for low-dimensional quantum gases to the description of
finite-temperature systems and their dynamics in momentum space.


title:
An algebraic geometric classification of superintegrable systems in the
  Euclidean plane

abstract:
  We prove that the set of non-degenerate second order maximally
superintegrable systems in the complex Euclidean plane carries a natural
structure of a projective variety, equipped with a linear isometry group
action. This is done by deriving the corresponding system of homogeneous
algebraic equations. We then solve these equations explicitly and give a
detailed analysis of the algebraic geometric structure of the corresponding
projective variety. This naturally associates a unique planar line triple
arrangement to every superintegrable system, providing a geometric realisation
of this variety and an intrinsic labelling scheme. In particular, our results
confirm the known classification by independent, purely algebraic means.


title: Loongson IoT Gateway: A Technical Review

abstract:
  A prototype of Loongson IoT (Internet of Things) ZigBee gateway is already
designed and implemented. However, this prototype is not perfect enough because
of the lack of a number of functions. And a lot of things should be done to
improve this prototype, such as adding widely used IEEE 802.11 function, using
a fully open source ZigBee protocol stack to get rid of proprietary implement
or using a fully open source embedded operating system to support 6LoWPAN, and
implementing multiple interfaces.


title:
Phase Mixing of Relativistically Intense Longitudinal Wave Packets in a
  Cold Plasma

abstract:
  The spatio-temporal evolution and breaking of relativistically intense wave
packets in a cold homogeneous unmagnetized plasma has been studied analytically
and numerically. A general expression for phase mixing time scale as a function
of amplitude of the wave packet and width of the spectrum has been derived.
Results have been compared with the existing formulae in literature. It is
shown that phase mixing time scale crucially depends on the relative magnitude
of the amplitude and dimensionless spectral width of the wave packet. Finally
we have verified our results with respect to both the amplitude of the wave
packet and width of the spectral using numerical simulations based on Dawson
Sheet Model.


title:
Constraining Neutrino mass using the large scale HI distribution in the
  Post-reionization epoch

abstract:
  The neutral intergalactic medium in the post reionization epoch allows us to
study cosmological structure formation through the observation of the
redshifted 21 cm signal and the Lyman-alpha forest. We investigate the
possibility of measuring the total neutrino mass through the suppression of
power in the matter power spectrum. We investigate the possibility of measuring
the neutrino mass through its imprint on the cross-correlation power spectrum
of the 21-cm signal and the Lyman-alpha forest. We consider a
radio-interferometric measurement of the 21 cm signal with a SKA1-mid like
radio telescope and a BOSS like Lyman-alpha forest survey. A Fisher matrix
analysis shows that at the fiducial redshift z = 2.5, a 10,000 hrs 21-cm
observation distributed equally over 25 radio pointings and a Lyman-alpha
forest survey with 30 quasars lines of sights in 1 {deg}^2, allows us to
measure \Omega_{\nu} at a 3.25 % level. A total of 25,000 hrs
radio-interferometric observation distributed equally over 25 radio pointings
and a Lyman-alpha survey with \bar n = 60 {\rm deg}^{-2} will allow
\Omega_{\nu} to be measured at a 2.26 % level. This corresponds to an idealized
measurement of \sum m_{\nu} at the precision of (100 \pm 2.26) meV and f_{\nu}=
\Omega_{\nu}/ \Omega_{m} at 2.49 % level.


title: One laser pulse generates two photoacoustic signals

abstract:
  Photoacoustic sensing and imaging techniques have been studied widely to
explore optical absorption contrast based on nanosecond laser illumination. In
this paper, we report a long laser pulse induced dual photoacoustic (LDPA)
nonlinear effect, which originates from unsatisfied stress and thermal
confinements. Being different from conventional short laser pulse illumination,
the proposed method utilizes a long square-profile laser pulse to induce dual
photoacoustic signals. Without satisfying the stress confinement, the dual
photoacoustic signals are generated following the positive and negative edges
of the long laser pulse. More interestingly, the first expansion-induced
photoacoustic signal exhibits positive waveform due to the initial sharp rising
of temperature. On the contrary, the second contraction-induced photoacoustic
signal exhibits exactly negative waveform due to the falling of temperature, as
well as pulse-width-dependent signal amplitude which is caused by the
concurrent heat accumulation and thermal diffusion during the long laser
illumination. An analytical model is derived to describe the generation of the
dual photoacoustic pulses, incorporating Gruneisen saturation and thermal
diffusion effect, which is experimentally proved. Lastly, an alternate of LDPA
technique using quasi-CW laser excitation is also introduced and demonstrated
for both super-contrast in vitro and in vivo imaging. Compared with existing
nonlinear PA techniques, the proposed LDPA nonlinear effect could enable a much
broader range of potential applications.


title:
Static Magnetic Proximity Effect in Pt Layers on Sputter-Deposited
  NiFe2O4 and on Fe of Various Thicknesses Investigated by XRMR

abstract:
  The longitudinal spin Seebeck effect is detected in sputter-deposited NiFe2O4
films using Pt as a spin detector and compared to previously investigated
NiFe2O4 films prepared by chemical vapor deposition. Anomalous Nernst effects
induced by the magnetic proximity effect in Pt can be excluded for the
sputter-deposited NiFe2O4 films down to a certain limit, since x-ray resonant
magnetic reflectivity measurements show no magnetic response down to a limit of
0.04 {\mu}B per Pt atom comparable to the case of the chemicallydeposited
NiFe2O4 films. These differently prepared films have various thicknesses.
Therefore, we further studied Pt/Fe reference samples with various Fe
thicknesses and could confirm that the magnetic proximity effect is only
induced by the interface properties of the magnetic material.


title:
Particle acceleration and magnetic field amplification in hotspots of FR
  II galaxies: The case study 4C74.26

abstract:
  It has been suggested that relativistic shocks in extragalactic sources may
accelerate the most energetic cosmic rays. However, recent theoretical advances
indicating that relativistic shocks are probably unable to accelerate particles
to energies much larger than a PeV cast doubt on this. In the present
contribution we model the radio to X-ray emission in the southern hotspot of
the quasar 4C74.26. The synchrotron radio emission is resolved near the shock
with the MERLIN radio-interferometer, and the rapid decay of this emission
behind the shock is interpreted as the decay of the downstream magnetic field
as expected for small scale turbulence. If our result is confirmed by analyses
of other radiogalaxies, it provides firm observational evidence that
relativistic shocks at the termination region of powerful jets in FR II
radiogalaxies do not accelerate ultra high energy cosmic rays.


title: Purely exponential growth of cusp-uniform actions

abstract:
  Suppose that a countable group $G$ admits a cusp-uniform action on a
hyperbolic space $(X,d)$ such that $G$ is of divergent type. The main result of
the paper is characterizing the purely exponential growth type of the orbit
growth function by a condition introduced by Dal'bo-Otal-Peign\'e. For
geometrically finite Cartan-Hadamard manifolds with pinched negative curvature
this condition ensures the finiteness of Bowen-Margulis-Sullivan measures. In
this case, our result recovers a theorem of Roblin (in a weaker form). Our main
tool is the Patterson-Sullivan measures on the Gromov boundary of $X$, and a
variant of the Sullivan shadow lemma called partial shadow lemma. This allows
us to prove that the purely exponential growth of either cones, or partial
cones or horoballs is also equivalent to the condition of Dal'bo-Otal-Peign\'e.
These results are further used in the paper \cite{YANG7}.


title:
Examination of the Feynman-Hibbs Approach in the Study of
  Ne$_N$-Coronene Clusters at Low Temperatures

abstract:
  Feynman-Hibbs (FH) effective potentials constitute an appealing approach for
investigations of many-body systems at thermal equilibrium since they allow us
to easily include quantum corrections within standard classical simulations. In
this work we apply the FH formulation to the study of Ne$_N$-coronene clusters
($N=$ 1-4, 14) in the 2-14 K temperature range. Quadratic (FH2) and quartic
(FH4) contributions to the effective potentials are built upon Ne-Ne and
Ne-coronene analytical potentials. In particular, a new corrected expression
for the FH4 effective potential is reported. FH2 and FH4 cluster energies and
structures -obtained from energy optimization through a basin-hoping algorithm
as well as classical Monte Carlo simulations- are reported and compared with
reference path integral Monte Carlo calculations. For temperatures $T> 4$ K,
both FH2 and FH4 potentials are able to correct the purely classical
calculations in a consistent way. However, the FH approach fails at lower
temperatures, especially the quartic correction. It is thus crucial to assess
the range of applicability of this formulation and, in particular, to apply the
FH4 potentials with great caution. A simple model of $N$ isotropic harmonic
oscillators allows us to propose a means of estimating the cut-off temperature
for the validity of the method, which is found to increase with the number of
atoms adsorbed on the coronene molecule.


title:
Ferromagnetic ordering of minority Ce$^{3+}$ spins in a
  quasi-skutterudite Ce${_3}$Os${_4}$Ge$_{13}$ single crystal

abstract:
  We report site disorder driven ferromagnetic ordering of nearly 8$\%$ Ce
atoms in single crystalline Ce${_3}$Os${_4}$Ge$_{13}$ below 0.5~K.
Ce${_3}$Os${_4}$Ge$_{13}$ crystallizes in a cubic structure with space group
$\it{Pm\bar{3}n}$. The structural analysis shows the presence of site-disorder
in the system, where 2(a) Ge site is partially occupied by the Ce atoms. Due to
the small Ce $4f$-ligand hybridization, these Ce atoms are in the Ce$^{3+}$
(magnetic) state while rest of the Ce atoms in the unit cell are in
Ce$^{4-\delta}$ (non-magnetic) state. The heat capacity shows a peak below
0.5~K corresponding to the ferromagnetic ordering of the Ce$^{3+}$ moments. The
ferromagnetic ordering below 0.5~K is also seen in the ac-susceptibility data.
At low temperatures (1.8~K$\leq T\leq 6$~K), the magnetization shows $log(T)$
dependence, whereas the resistivity shows power law ($T^n$) temperature
dependence indicating the non-Fermi liquid behavior of the quasiparticles.


title: A Topological-like Model for Gravity in 4D Space-time

abstract:
  In this paper we consider a model for gravity in 4-dimensional space-time
originally proposed by Chamseddine, which may be derived by dimensional
reduction and truncation from a 5-dimensional Chern-Simons theory. Its
topological origin makes it an interesting candidate for an easier
quantization, e.g., in the Loop Quantization framework. The present paper is
dedicated to a classical analysis of the model's properties. Cosmological
solutions as well as wave solutions are found and compared with the
corresponding solutions of Einstein's General Relativity with cosmological
constant.


title: Suslin trees, the bounding number, and partition relations

abstract:
  We investigate the unbalanced ordinary partition relations of the form
$\lambda \rightarrow {(\lambda, \alpha)}^{2}$ for various values of the
cardinal $\lambda$ and the ordinal $\alpha$. For example, we show that for
every infinite cardinal $\kappa,$ the existence of a ${\kappa}^{+}-$Suslin tree
implies ${\kappa}^{+} \not\rightarrow {\left( {\kappa}^{+},
{\log}_{\kappa}({\kappa}^{+}) + 2 \right)}^{2}$. The consistency of the
positive partition relation $\mathfrak{b} \rightarrow {(\mathfrak{b},
\alpha)}^{2}$ for all $\alpha < {\omega}_{1}$ for the bounding number
$\mathfrak{b}$ is also established from large cardinals.


title: Is the motion of a single SPH particle droplet/solid physically correct?

abstract:
  In recent years the Smoothed Particle Hydrodynamics (SPH) approach gained
popularity in modeling multiphase and free-surface flows. In many situations,
due to certain reasons, interface and free-surface fragmentation occurs. As a
result single SPH particle solids/droplets of one phase can appear and travel
through other phases. In this paper we investigate this issue focusing on a
movement of such single SPH particles. The main questions we try to answer here
are: is movement of such particles physically correct? What is its physical
size? How numerical parameters affect on it? With this in mind we performed
simple simulations of solid particles falling due to gravity in a fluid.
Considering three different diameters of a single particle, we compared values
of the drag coefficient and the velocity obtained through the SPH approach with
the experimental and the analytical reference data. In the way to accurately
model multiphase flows with free-surfaces we proposed and validated a novel SPH
formulation.


title: Various Time-Scales of Relaxation

abstract:
  Via gauge-gravity duality, relaxation of far-from-equilibrium initial states
in a strongly coupled gauge theory has been investigated. In the system we
consider in this paper there are two ways where the state under study can
deviate from its equilibrium: anisotropic pressure and time-dependent
expectation value of a scalar operator with \Delta=3. In the gravity theory,
this system corresponds to Einstein's general relativity with a non-trivial
metric, including the anisotropy function, coupled to a massive scalar matter
field. We study the effect of different initial configurations for scalar field
and anisotropy function on physical processes such as thermalization, i.e. time
evolution of event horizon, equilibration of the expectation value of scalar
operator and isotropization. We also discuss time ordering of these
time-scales.


title:
Supplementary Conjugated Circuits for Biphenylene and related
  hydrocarbons

abstract:
  Individual Kekule valence structures of biphenylene and related hydrocarbons
are comparatively studied in respect of their total pi-electron energies and
thereby relative stabilities. These structures are modeled as sets of
weakly-interacting initially-double (C=C) bonds. The relevant total energies
are represented in the form of power series, wherein the averaged resonance
parameter of initially-single (C-C) bonds underlies the expansion. To
rationalize the resulting distinctions in total energies, interrelations are
sought between separate members of the series, on the one hand, and presence of
definite substructures in the given Kekule valence structure, on the other
hand. It is shown that monocycles S_1 and S_2 correspondingly containing two
and four exocyclic methylene groups (like 3,4-dimethylene cyclobutene and
[4]radialene) participate in the formation of energy corrections of the
relevant Kekule valence structures along with the usual conjugated circuits of
the 4n+2 and 4n series (R_n and Q_n, n=1,2,3...). Thus, the cycles S_1 and S_2
are deductively predicted to play the role of supplementary conjugated circuits
for biphenylene-like hydrocarbons. Moreover, the S_2- and S_1- containing
structures are shown to be the most stable ones among all Kekule valence
structures of the given hydrocarbon. Meanwhile, the lowest stability is
predicted for structures in which either the neighboring hexagonal rings are
connected by two C=C bonds or two exocyclic C=C bonds are attached to the same
hexagonal ring.


title: Thompson Sampling is Asymptotically Optimal in General Environments

abstract:
  We discuss a variant of Thompson sampling for nonparametric reinforcement
learning in a countable classes of general stochastic environments. These
environments can be non-Markov, non-ergodic, and partially observable. We show
that Thompson sampling learns the environment class in the sense that (1)
asymptotically its value converges to the optimal value in mean and (2) given a
recoverability assumption regret is sublinear.


title: Unexpectedly large charge radii of neutron-rich calcium isotopes

abstract:
  Despite being a complex many-body system, the atomic nucleus exhibits simple
structures for certain "magic" numbers of protons and neutrons. The calcium
chain in particular is both unique and puzzling: evidence of doubly-magic
features are known in 40,48Ca, and recently suggested in two radioactive
isotopes, 52,54Ca. Although many properties of experimentally known Ca isotopes
have been successfully described by nuclear theory, it is still a challenge to
predict their charge radii evolution. Here we present the first measurements of
the charge radii of 49,51,52Ca, obtained from laser spectroscopy experiments at
ISOLDE, CERN. The experimental results are complemented by state-of-the-art
theoretical calculations. The large and unexpected increase of the size of the
neutron-rich calcium isotopes beyond N = 28 challenges the doubly-magic nature
of 52Ca and opens new intriguing questions on the evolution of nuclear sizes
away from stability, which are of importance for our understanding of
neutron-rich atomic nuclei.


title: Finding non-orientable surfaces in 3-manifolds

abstract:
  We investigate the complexity of finding an embedded non-orientable surface
of Euler genus $g$ in a triangulated $3$-manifold. This problem occurs both as
a natural question in low-dimensional topology, and as a first non-trivial
instance of embeddability of complexes into $3$-manifolds.
  We prove that the problem is NP-hard, thus adding to the relatively few
hardness results that are currently known in 3-manifold topology. In addition,
we show that the problem lies in NP when the Euler genus g is odd, and we give
an explicit algorithm in this case.


title:
Metal enrichment in a semi-analytical model, fundamental scaling
  relations, and the case of Milky Way galaxies

abstract:
  Gas flows play a fundamental role in galaxy formation and evolution,
providing the fuel for the star formation process. These mechanisms leave an
imprint in the amount of heavy elements. Thus, the analysis of this metallicity
signature provides additional constraint on the galaxy formation scenario. We
aim to discriminate between four different galaxy formation models based on two
accretion scenarios and two different star formation recipes. We address the
impact of a bimodal accretion scenario and a strongly regulated star formation
recipe. We present a new extension of the eGalICS model, which allows us to
track the metal enrichment process. Our new chemodynamical model is applicable
for situations ranging from metal-free primordial accretion to very enriched
interstellar gas contents. We use this new tool to predict the metallicity
evolution of both the stellar populations and gas phase. We also address the
evolution of the gas metallicity with the star formation rate (SFR). We then
focus on a sub-sample of Milky Way-like galaxies. We compare both the cosmic
stellar mass assembly and the metal enrichment process of such galaxies with
observations and detailed chemical evolution models. Our models, based on a
strong star formation regulation, allow us to reproduce well the stellar mass
to gas-phase metallicity relation observed in the local universe. However, we
observe a systematic shift towards high masses. Our $Mstar-Zg-SFR relation is
in good agreement with recent measurements: our best model predicts a clear
dependence with the SFR. Both SFR and metal enrichment histories of our Milky
Way-like galaxies are consistent with observational measurements and detailed
chemical evolution models. We finally show that Milky Way progenitors start
their evolution below the observed main sequence and progressively reach this
observed relation at z = 0.


title: 750 GeV diphoton resonance in a visible heavy QCD axion model

abstract:
  In this paper, we revisit a visible heavy QCD axion model in light of the
recent reports on the $750$ GeV diphoton resonance by the ATLAS and CMS
experiments. In this model, the axion is made heavy with the help of the mirror
copied sector of the Standard Model while the successful Peccei-Quinn mechanism
is kept intact. We identify the $750$ GeV resonance as the scalar boson
associated with spontaneous breaking of the Peccei-Quinn symmetry which mainly
decays into a pair of the axions. We find that the mixings between the axion
and $\eta$ and $\eta'$ play important roles in its decays and the resultant
branching ratio into two photons. The axion decay length can be suitable for
explaining the diphoton excess by the di-axion production when its decay
constant $f_a \simeq 1$ TeV. We also find that our model allows multiple sets
of the extra fermions without causing the domain wall problem, which is
advantageous to explain the diphoton signal.


title: Polynomial Diffusion Models for Life Insurance Liabilities

abstract:
  In this paper we study the pricing and hedging problem of a portfolio of life
insurance products under the benchmark approach, where the reference market is
modelled as driven by a state variable following a polynomial diffusion on a
compact state space. Such a model guarantees not only the positivity of the OIS
short rate and the mortality intensity, but also the possibility of
approximating both pricing formula and hedging strategy of a large class of
life insurance products by explicit formulas.


title:
A Phase-space Formulation of the Belavkin-Kushner-Stratonovich Filtering
  Equation for Nonlinear Quantum Stochastic Systems

abstract:
  This paper is concerned with a filtering problem for a class of nonlinear
quantum stochastic systems with multichannel nondemolition measurements. The
system-observation dynamics are governed by a Markovian Hudson-Parthasarathy
quantum stochastic differential equation driven by quantum Wiener processes of
bosonic fields in vacuum state. The Hamiltonian and system-field coupling
operators, as functions of the system variables, are represented in a Weyl
quantization form. Using the Wigner-Moyal phase-space framework, we obtain a
stochastic integro-differential equation for the posterior quasi-characteristic
function (QCF) of the system conditioned on the measurements. This equation is
a spatial Fourier domain representation of the Belavkin-Kushner-Stratonovich
stochastic master equation driven by the innovation process associated with the
measurements. We also discuss a more specific form of the posterior QCF
dynamics in the case of linear system-field coupling and outline a Gaussian
approximation of the posterior quantum state.


title: Some Identities and Inequalities for Hilbert-Schmidt Frames

abstract:
  In this paper we establish Parseval type identities and surprising new
inequalities for Hilbert-Schmidt frames. Our results generalize and improve the
remarkable results which have been obtained by Balan et al. and
G{\u{a}}vru{\c{t}}a.


title:
Further investigation of the spurious interface fragmentation in
  multiphase Smoothed Particle Hydrodynamics

abstract:
  This article presents results of further investigation of the problem of
spurious interface fragmentation in the multiphase SPH. In order to remove
arising instabilities, many authors introduced the artificial interface
correction procedure. In the present paper we show that the interface
instabilities are physical and the introduction of the interface correction
procedure may leads to non-physical solutions. We also explain the puzzling
relation between the parameters $\varepsilon$ and $h$. The analysis is
performed on the basis of the stability analysis and numerical calculations
using SPH and Volume Of Fluid (VOF) approach.


title: CMB and reheating constraints to \alpha-attractor inflationary models

abstract:
  After Planck 2013, a broad class of inflationary models called
\alpha-attractors was developed which has universal observational predictions.
For small values of the parameter \alpha, the models have good consistency with
the recent CMB data. In this work, we first calculate analytically (and verify
numerically) the predictions of these models for spectral index, n_s and
tensor-to-scalar ratio, r and then using BICEP2/Keck 2015 data we impose
constraints on \alpha-attractors. Then, we study the reheating in
\alpha-attractors. The reheating temperature, T_{re} and the number of e-folds
during reheating, N_{re} are calculated as functions of n_s. Using these
results, we determine the range of free parameter \alpha for two clasees of
\alpha-attractors which satisfy the constraints of recent CMB data.


title:
Correlated photon pair generation in low-loss double-stripe silicon
  nitride waveguides

abstract:
  We demonstrate correlated photon pair generation via spontaneous four-wave
mixing in a low-loss double-stripe silicon nitride waveguide with a
coincidence-to-accidental ratio over 10. The coincidence-to-accidental ratio is
limited by spontaneous Raman scattering, which can be mitigated by cooling in
the future. This demonstration suggests that this waveguide structure is a
potential platform to develop integrated quantum photonic chips for quantum
information processing.


title:
A consequence of Greenberg's generalized conjecture on Iwasawa
  invariants of $\mathbb{Z}_p$-extensions

abstract:
  For a prime number $p$ and a number field $k$, let $\tilde{k}$ be the
compositum of all $\mathbb{Z}_p$-extensions of $k$. Greenberg's Generalized
Conjecture (GGC) claims the pseudo-nullity of the unramified Iwasawa module
$X(\tilde{k})$ of $\tilde{k}$. It is known that, when $k$ is an imaginary
quadratic field, GGC has a consequence on the Iwasawa invariants associated to
$\mathbb{Z}_p$-extensions of $k$. In this paper, we partially generalize it to
arbitrary number fields $k$.


title: Quantum theory of an electron waiting time clock

abstract:
  The electron waiting time is the time that passes between two subsequent
charge transfers in an electronic conductor. Recently, theories of electron
waiting times have been devised for quantum transport in Coulomb-blockade
structures and for mesoscopic conductors, however, so far a proper description
of a detector has been missing. Here we develop a quantum theory of a waiting
time clock capable of measuring the distribution of waiting times between
electrons above the Fermi sea in a mesoscopic conductor. The detector consists
of a mesoscopic capacitor coupled to a quantum two-level system whose coherent
precession we monitor. Under ideal operating conditions our waiting time clock
recovers the results of earlier theories without a detector. We investigate
possible deviations due to an imperfect waiting time clock. As specific
applications we consider a quantum point contact with a constant voltage and
lorentzian voltage pulses applied to an electrode.


title:
Transverse beam size measurement system using visible synchrotron
  radiation at HLS II

abstract:
  An interferometer system and an imaging system using visible synchrotron
radiation (SR) have been installed in HLS II storage ring. Simulations of these
two systems are given using Synchrotron Radiation Workshop(SRW) code. With
these two systems, the beam energy spread and the beam emittance can be
measured. A detailed description of these two systems and the measurement
method is given in this paper. The measurement results of beam size, emittance
and energy spread are given at the end.


title:
Experimental Performance Evaluation of Cloud-Based
  Analytics-as-a-Service

abstract:
  An increasing number of Analytics-as-a-Service solutions has recently seen
the light, in the landscape of cloud-based services. These services allow
flexible composition of compute and storage components, that create powerful
data ingestion and processing pipelines. This work is a first attempt at an
experimental evaluation of analytic application performance executed using a
wide range of storage service configurations. We present an intuitive notion of
data locality, that we use as a proxy to rank different service compositions in
terms of expected performance. Through an empirical analysis, we dissect the
performance achieved by analytic workloads and unveil problems due to the
impedance mismatch that arise in some configurations. Our work paves the way to
a better understanding of modern cloud-based analytic services and their
performance, both for its end-users and their providers.


title:
The environmental dependence of the stellar mass fundamental plane of
  early-type galaxies

abstract:
  Aims. We investigate the environmental dependence of the stellar mass
fundamental plane (FP$_*$) using the early-type galaxy sample from the Sloan
Digital Sky Survey Data Release 7 (SDSS DR7).
  Methods. The FP$_*$ is calculated by replacing the luminosity in the
fundamental plane (FP) with stellar mass. Based on the SDSS group catalog, we
characterize the galaxy environment according to the mass of the host dark
matter halo and the position in the halo. In halos with the same mass bin, the
color distributions of central and satellite galaxies are different. Therefore,
we calculate FP$_*$ coefficients of galaxies in different environments and
compare them with those of the FP to study the contribution of the stellar
population.
  Results. We find that coefficient $a$ of the FP$_*$ is systematically larger
than that of the FP, but coefficient $b$ of the FP$_*$ is similar to the FP.
Moreover, the environmental dependence of the FP$_*$ is similar to that of the
FP. For central galaxies, FP$_*$ coefficients are significantly dependent on
the halo mass. For satellite galaxies, the correlation between FP$_*$
coefficients and the halo mass is weak.
  Conclusions. We conclude that the tilt of the FP is not primarily driven by
the stellar population.


title: Inhomogenous Multispecies TASEP on a ring with spectral parameters

abstract:
  We study an inhomogenous multispecies version of the Totally Asymmetric
Simple Exclusion Process (TASEP) on a periodic oriented one dimensional
lattice, which depends on two sets of parameters $({\bf \tau},{\bf \nu})$,
attached to the particles. After discussing the Yang-Baxter integrability of
our model, we study its (unnormalized) stationary measure. Motivated by the
integrability of the model we introduce a further set of spectral parameters
${\bf z}$, attached to the sites of the lattice, and we uncover a remarkable
underlying algebraic structure. We provide exact formulas for the stationary
measure and prove the factorization of the stationary probability of certain
configurations in terms of double Schubert polynomials in $({\bf \tau},{\bf
\nu})$.


title:
Dissipative optomechanical preparation of macroscopic quantum
  superposition states

abstract:
  The transition from quantum to classical physics remains an intensely debated
question even though it has been investigated for more than a century. Further
clarifications could be obtained by preparing macroscopic objects in spatial
quantum superpositions and proposals for generating such states for
nano-mechanical devices either in a transient or a probabilistic fashion have
been put forward. Here we introduce a method to deterministically obtain
spatial superpositions of arbitrary lifetime via dissipative state preparation.
In our approach, we engineer a double-well potential for the motion of the
mechanical element and drive it towards the ground state, which shows the
desired spatial superposition, via optomechanical sideband cooling. We propose
a specific implementation based on a superconducting circuit coupled to the
mechanical motion of a lithium-decorated monolayer graphene sheet, introduce a
method to verify the mechanical state by coupling it to a superconducting
qubit, and discuss its prospects for testing collapse models for the quantum to
classical transition.


title: General Spin Precession and Betatron Oscillation in Storage Ring

abstract:
  We give the geralized expression of spin precession of extended bunch
particles having both anomalous magnetic and electric dipole moments in storage
ring. The transversal betatron oscillation formula of the bunch is also given.
The latter is the generalization of the Farley's pitch correction
\cite{Farley}, including radial oscillation as well as vertical one. Some
useful formulae for muon storage ring are discussed in appendix.


title:
Probing the coupling between a doublon excitation and the charge-density
  wave in TaS2 by ultrafast optical spectroscopy

abstract:
  Recently, the switching between the different charge-ordered phases of
1T-TaS2 has been probed by ultrafast techniques, revealing unexpected phenomena
such as "hidden" metastable states and peculiar photoexcited charge patterns.
Here, we apply broadband pump-probe spectroscopy with varying excitation energy
to study the ultrafast optical properties of 1T-TaS2 in the visible regime. By
scanning the excitation energy in the near-IR region we unravel the coupling
between different charge excitations and the low-lying charge-density wave
state. We find that the amplitude mode of the charge-density wave exhibits
strong coupling to a long-lived doublon state that is photoinduced in the
center of the star-shaped charge-ordered Ta clusters by the near-IR optical
excitation.


title:
Variability in young very low mass stars: Two surprises from
  spectrophotometric monitoring

abstract:
  We present simultaneous photometric and spectroscopic observations of seven
young and highly variable M dwarfs in star forming regions in Orion, conducted
in 4 observing nights with FORS2 at ESO/VLT. All seven targets show significant
photometric variability in the I-band, with amplitudes between 0.1-0.8 mag, The
spectra, however, remain remarkably constant, with spectral type changes less
than 0.5 subtypes. Thus, the brightness changes are not caused by veiling that
'fills in' absorption features. Three objects in the $\sigma$ Ori cluster (age
$\sim$3 Myr) exhibit strong H$\alpha$ emission and H$\alpha$ variability, in
addition to the continuum variations. Their behaviour is mostly consistent with
the presence of spots with temperature of $\sim300$ K above the photosphere and
filling factors between 0.2-0.4, in contrast to typical hot spots observed in
more massive stars. The remaining targets near $\epsilon$ Ori, likely to be
older, show eclipse-like lightcurves, no significant H$\alpha$ activity and are
better represented by variable extinction due to circumstellar material.
Interestingly, two of them show no evidence of infrared excess emission. Our
study shows that high-amplitude variability in young very low mass stars can be
caused by different phenomena than in more massive T Tauri stars and can
persist when the disk has disappeared and accretion has ceased.


title:
Delocalization in One-Dimensional Tight-Binding Models with Fractal
  Disorder II: Existence of Mobility Edge

abstract:
  In the previous work, we investigated the correlation-induced
localization-delocalization transition (LDT) of the wavefunction at band center
($E=0$) in the one-dimensional tight-binding model with fractal disorder
[Yamada, EPJB (2015) 88, 264]. In the present work, we study the energy ($E
\neq 0$) dependence of the normalized localization length and the
delocalization of the wavefunction at the different energy in the same system.
The mobility edges in the LDT arise when the fractal dimension of the potential
landscape is larger than the critical value depending on the disorder strength,
which is consistent with the previous result.In addition, we present the
distribution of individual NLL and Lyapunov exponent in the system with LDT.


title:
Nonstandard Deformed Oscillators from $q$- and $p,q$-Deformations of
  Heisenberg Algebra

abstract:
  For the two-parameter $p,q$-deformed Heisenberg algebra introduced recently
and in which, instead of usual commutator of $X$ and $P$ in the l.h.s. of basic
relation $[X,P] = {\rm i}\hbar$, one uses the $p,q$-commutator, we established
interesting properties. Most important is the realizability of the
$p,q$-deformed Heisenberg algebra by means of the appropriate deformed
oscillator algebra. Another uncovered property is special extension of the
usual mutual Hermitian conjugation of the creation and annihilation operators,
namely the so-called $\eta(N)$-pseudo-Hermitian conjugation rule, along with
the related $\eta(N)$-pseudo-Hermiticity property of the position or momentum
operators. In this work, we present some new solutions of the realization
problem yielding new (nonstandard) deformed oscillators, and show their
inequivalence to the earlier known solution and the respective deformed
oscillator algebra, in particular what concerns ground state energy.


title:
Recognition of Emerging Technology Trends. Class-selective study of
  citations in the U.S. Patent Citation Network

abstract:
  By adopting a citation-based recursive ranking method for patents the
evolution of new fields of technology can be traced. Specifically, it is
demonstrated that the laser / inkjet printer technology emerged from the
recombination of two existing technologies: sequential printing and static
image production. The dynamics of the citations coming from the different
"precursor" classes illuminates the mechanism of the emergence of new fields
and give the possibility to make predictions about future technological
development. For the patent network the optimal value of the PageRank damping
factor is close to 0.5; the application of d=0.85 leads to unacceptable ranking
results.


title: On some generalizations of real numbers representations

abstract:
  The article is devoted to introduce and investigation of new numeral systems.
These representations are generalizations of classical representations of real
numbers. The main properties of investigating representations are described.
  The results are represented in International Conference of Yung
Mathematicians, June 3-6, 2015, Kyiv.


title: Junctionless Cooper pair transistor

abstract:
  Quantum phase slip (QPS) is the topological singularity of the complex order
parameter of a quasi-one-dimensional superconductor: momentary zeroing of the
modulus and simultaneous 'slip' of the phase by 2\pi. The QPS event(s) are the
dynamic equivalent of tunneling through a conventional Josephson junction
containing static in space and time weak link(s). Here we demonstrate the
operation of a superconducting single electron transistor (Cooper pair
transistor) without any tunnel junctions. Instead a pair of thin
superconducting titanium wires in QPS regime were used. The current-voltage
characteristics demonstrate the clear Coulomb blockade with magnitude of the
Coulomb gap modulated by the gate potential. The Coulomb blockade disappears
above the critical temperature, and at low temperatures can be suppressed by
strong magnetic field.


title: Geometry of the basic statistical physics mapping

abstract:
  Geometry of hypersurfaces defined by the relation which generalizes classical
formula for free energy in terms of microstates is studied. Induced metric,
Riemann curvature tensor, Gauss-Kronecker curvature and associated entropy are
calculated. Special class of ideal statistical hypersurfaces is analyzed in
details. Non-ideal hypersurfaces and their singularities similar to those of
the phase transitions are considered. Tropical limit of statistical
hypersurfaces and double scaling tropical limit are discussed too.

categories: math-ph cond-mat.stat-mech math.DG math.MP


title: Quasi-1-Dimensional Superconductivity in Highly Disordered NbN Nanowires

abstract:
  The topic of superconductivity in strongly disordered materials has attracted
a significant attention. In particular vivid debates are related to the subject
of intrinsic spatial inhomogeneity responsible for non-BCS relation between the
superconducting gap and the pairing potential. Here we report experimental
study of electron transport properties of narrow NbN nanowires with effective
cross sections of the order of the debated inhomogeneity scales. We find that
conventional models based on phase slip concept provide reasonable fits for the
shape of the R(T) transition curve. Temperature dependence of the critical
current follows the text-book Ginzburg-Landau prediction for
quasi-one-dimensional superconducting channel Ic~(1-T/Tc)^3/2. Hence, one may
conclude that the intrinsic electronic inhomogeneity either does not exist in
our structures, or, if exist, does not affect their resistive state properties.


title: Bootstrap Inference when Using Multiple Imputation

abstract:
  Many modern estimators require bootstrapping to calculate confidence
intervals because either no analytic standard error is available or the
distribution of the parameter of interest is non-symmetric. It remains however
unclear how to obtain valid bootstrap inference when dealing with multiple
imputation to address missing data. We present four methods which are
intuitively appealing, easy to implement, and combine bootstrap estimation with
multiple imputation. We show that three of the four approaches yield valid
inference, but that the performance of the methods varies with respect to the
number of imputed data sets and the extent of missingness. Simulation studies
reveal the behavior of our approaches in finite samples. A topical analysis
from HIV treatment research, which determines the optimal timing of
antiretroviral treatment initiation in young children, demonstrates the
practical implications of the four methods in a sophisticated and realistic
setting. This analysis suffers from missing data and uses the $g$-formula for
inference, a method for which no standard errors are available.


title: Supersymmetric geometries of IIA supergravity III

abstract:
  We find that (massive) IIA backgrounds that admit a $G_2\ltimes \mathbb{R}^8$
invariant Killing spinor must exhibit a null Killing vector field which leaves
the Killing spinor invariant and that the rotation of the Killing vector field
satisfies a certain $\mathfrak{g}_2$ instanton condition. This result together
with those in [4] and [5] complete the classification of geometries of all
(massive) IIA backgrounds that preserve one supersymmetry. We also explore the
geometry of a class of backgrounds which admit a $G_2\ltimes \mathbb{R}^8$
invariant Killing spinor and where in addition an appropriate 1-form bilinear
vanishes. In all cases, we express the fluxes of the theory in terms of the
geometry.


title:
The quantum phase slip phenomenon in superconducting nanowires with
  high-impedance environment

abstract:
  Quantum phase slip (QPS) is the particular manifestation of quantum
fluctuations of the order parameter of a current-biased quasi-1D
superconductor. The QPS event(s) can be considered a dynamic equivalent of
tunneling through conventional Josephson junction containing static in space
and time weak link(s). At low temperatures T<<Tc the QPS effect leads to finite
resistivity of narrow superconducting channels and suppresses persistent
currents in tiny nanorings. Here we demonstrate that the quantum tunneling of
phase may result in Coulomb blockade: superconducting nanowire, imbedded in
high-Ohmic environment, below a certain bias voltage behaves as an insulator.


title: The Effect of Social Feedback in a Reddit Weight Loss Community

abstract:
  It is generally accepted as common wisdom that receiving social feedback is
helpful to (i) keep an individual engaged with a community and to (ii)
facilitate an individual's positive behavior change. However, quantitative data
on the effect of social feedback on continued engagement in an online health
community is scarce. In this work we apply Mahalanobis Distance Matching (MDM)
to demonstrate the importance of receiving feedback in the "loseit" weight loss
community on Reddit. Concretely we show that (i) even when correcting for
differences in word choice, users receiving more positive feedback on their
initial post are more likely to return in the future, and that (ii) there are
diminishing returns and social feedback on later posts is less important than
for the first post. We also give a description of the type of initial posts
that are more likely to attract this valuable social feedback. Though we cannot
yet argue about ultimate weight loss success or failure, we believe that
understanding the social dynamics underlying online health communities is an
important step to devise more effective interventions.


title:
Controlled uniform coating from the interplay of Marangoni flows and
  surface-adsorbed macromolecules

abstract:
  Surface coatings and patterning technologies are essential for various
physicochemical applications. In this Letter, we describe key parameters to
achieve uniform particle coatings from binary solutions: First, multiple
sequential Marangoni flows, set by solute and surfactant simultaneously,
prevent non-uniform particle distributions and continuously mix suspended
materials during droplet evaporation. Second, we show the importance of
particle-surface interactions that can be established by surface-adsorbed
macromolecules. To achieve a uniform deposit in a binary mixture, a small
concentration of surfactant and surface-adsorbed polymer (0.05 wt% each) is
sufficient, which offers a new physicochemical avenue for control of coatings.


title:
Weighted anisotropic Morrey Spaces estimates for anisotropic maximal
  operators

abstract:
  The aim of this paper can give weighted anisotropic Morrey Spaces estimates
for anisotropic maximal functions.


title: State of the Field: Extreme Precision Radial Velocities

abstract:
  The Second Workshop on Extreme Precision Radial Velocities defined circa 2015
the state of the art Doppler precision and identified the critical path
challenges for reaching 10 cm/s measurement precision. The presentations and
discussion of key issues for instrumentation and data analysis and the workshop
recommendations for achieving this precision are summarized here.
  Beginning with the HARPS spectrograph, technological advances for precision
radial velocity measurements have focused on building extremely stable
instruments. To reach still higher precision, future spectrometers will need to
produce even higher fidelity spectra. This should be possible with improved
environmental control, greater stability in the illumination of the
spectrometer optics, better detectors, more precise wavelength calibration, and
broader bandwidth spectra. Key data analysis challenges for the precision
radial velocity community include distinguishing center of mass Keplerian
motion from photospheric velocities, and the proper treatment of telluric
contamination. Success here is coupled to the instrument design, but also
requires the implementation of robust statistical and modeling techniques.
Center of mass velocities produce Doppler shifts that affect every line
identically, while photospheric velocities produce line profile asymmetries
with wavelength and temporal dependencies that are different from Keplerian
signals.
  Exoplanets are an important subfield of astronomy and there has been an
impressive rate of discovery over the past two decades. Higher precision radial
velocity measurements are required to serve as a discovery technique for
potentially habitable worlds and to characterize detections from transit
missions. The future of exoplanet science has very different trajectories
depending on the precision that can ultimately be achieved with Doppler
measurements.


title: The scaling of the minimum sum of edge lengths in uniformly random trees

abstract:
  The minimum linear arrangement problem on a network consists of finding the
minimum sum of edge lengths that can be achieved when the vertices are arranged
linearly. Although there are algorithms to solve this problem on trees in
polynomial time, they have remained theoretical and have not been implemented
in practical contexts to our knowledge. Here we use one of those algorithms to
investigate the growth of this sum as a function of the size of the tree in
uniformly random trees. We show that this sum is bounded above by its value in
a star tree. We also show that the mean edge length grows logarithmically in
optimal linear arrangements, in stark contrast to the linear growth that is
expected on optimal arrangements of star trees or on random linear
arrangements.


title:
High-resolution tSZ cartography of clusters of galaxies with NIKA at the
  IRAM 30-m telescope

abstract:
  The thermal Sunyaev-Zeldovich effect (tSZ) is a powerful probe to study
clusters of galaxies and is complementary with respect to X-ray, lensing or
optical observations. Previous arcmin resolution tSZ observations ({\it e.g.}
SPT, ACT and Planck) only enabled detailed studies of the intra-cluster medium
morphology for low redshift clusters ($z < 0.2$). Thus, the development of
precision cosmology with clusters requires high angular resolution observations
to extend the understanding of galaxy cluster towards high redshift. NIKA2 is a
wide-field (6.5 arcmin field of view) dual-band camera, operated at $100 \ {\rm
mK}$ and containing $\sim 3300$ KID (Kinetic Inductance Detectors), designed to
observe the millimeter sky at 150 and 260 GHz, with an angular resolution of 18
and 12 arcsec respectively. The NIKA2 camera has been installed on the IRAM
30-m telescope (Pico Veleta, Spain) in September 2015. The NIKA2 tSZ
observation program will allow us to observe a large sample of clusters (50) at
redshift ranging between 0.5 and 1. As a pathfinder for NIKA2, several clusters
of galaxies have been observed at the IRAM 30-m telescope with the NIKA
prototype to cover the various configurations and observation conditions
expected for NIKA2.


title: Driver Hamiltonians for constrained optimization in quantum annealing

abstract:
  One of the current major challenges surrounding the use of quantum annealers
for solving practical optimization problems is their inability to encode even
moderately sized problems---the main reason for this being the rigid layout of
their quantum bits as well as their sparse connectivity. In particular, the
implementation of constraints has become a major bottleneck in the embedding of
practical problems, because the latter is typically achieved by adding harmful
penalty terms to the problem Hamiltonian --- a technique that often requires an
`all-to-all' connectivity between the qubits. Recently, a novel technique
designed to obviate the need for penalty terms was suggested; it is based on
the construction of driver Hamiltonians that commute with the constraints of
the problem, rendering the latter constants of motion. In this work we propose
general guidelines for the construction of such driver Hamiltonians given an
arbitrary set of constraints. We illustrate the broad applicability of our
method by analyzing several diverse examples, namely, graph isomorphism,
not-all-equal 3SAT, and the so-called Lechner, Hauke and Zoller constraints. We
also discuss the significance of our approach in the context of current and
future experimental quantum annealers.


title:
Performance Analysis of Relay Selection With Enhanced Dynamic
  Decode-and-Forward and Network Coding in Two-Way Relay Channels

abstract:
  In this paper, we adopt the relay selection (RS) protocol proposed by
Bletsas, Khisti, Reed and Lippman (2006) with Enhanced Dynamic
Decode-and-Forward (EDDF) and network coding (NC) system in a two-hop two-way
multi-relay network. All nodes are single-input single-output (SISO) and
half-duplex, i.e., they cannot transmit and receive data simultaneously. The
outage probability is analyzed and we show comparisons of outage probability
with various scenarios under Rayleigh fading channel. Our results show that the
relay selection with EDDF and network coding (RS-EDDF&NC) scheme has the best
performance in the sense of outage probability upon the considered
decode-and-forward (DF) relaying if there exist sufficiently relays. In
addition, the performance loss is large if we select a relay at random. This
shows the importance of relay selection strategies.


title:
Determination of sizes of optimal three-dimensional optical orthogonal
  codes of weight three with the AM-OPP restriction

abstract:
  In this paper, we further investigate the constructions on three-dimensional
$(u\times v\times w,k,1)$ optical orthogonal codes with the at most one optical
pulse per wavelength/time plane restriction (briefly AM-OPP $3$-D $(u\times
v\times w,k,1)$-OOCs) by way of the corresponding designs. Several new
auxiliary designs such as incomplete holey group divisible designs and
incomplete group divisible packings are introduced and therefore new
constructions are presented. As a consequence, the exact number of codewords of
an optimal AM-OPP $3$-D $(u\times v\times w,3,1)$-OOC is finally determined for
any positive integers $v,w$ and $u\geq3$.


title:
Energetically favoured defects in dense packings of particles on
  spherical surfaces

abstract:
  The dense packing of interacting particles on spheres has proved to be a
useful model for virus capsids and colloidosomes. Indeed, icosahedral symmetry
observed in virus capsids corresponds to potential energy minima that occur for
magic numbers of, e.g., 12, 32 and 72 identical Lennard-Jones particles, for
which the packing has exactly the minimum number of twelve five-fold defects.
It is unclear, however, how stable these structures are against thermal
agitation. We investigate this property by means of basin-hopping global
optimisation and Langevin dynamics for particle numbers between ten and one
hundred. An important measure is the number and type of point defects, that is,
particles that do not have six nearest neighbours. We find that small
icosahedral structures are the most robust against thermal fluctuations,
exhibiting fewer excess defects and rearrangements for a wide temperature
range. Furthermore, we provide evidence that excess defects appearing at low
non-zero temperatures lower the potential energy at the expense of entropy. At
higher temperatures defects are, as expected, thermally excited and thus
entropically stabilised. If we replace the Lennard-Jones potential by a very
short-ranged (Morse) potential, which is arguably more appropriate for colloids
and virus capsid proteins, we find that the same particle numbers give a
minimum in the potential energy, although for larger particle numbers these
minima correspond to different packings. Furthermore, defects are more
difficult to excite thermally for the short-ranged potential, suggesting that
the short-ranged interaction further stabilises equilibrium structures.


title: From Mathematics and Education, to Mathematics Education

abstract:
  This chapter takes a historical view of the development of mathematics
education, from its initial status as a business mostly managed by
mathematicians to the birth of mathematics education as a scientific field of
research. Starting from the acknowledgement that research in mathematics
education demands more than the traditional focus on discussing curricular
options at distinct grade levels, we identified several specialized clusters,
debating specific issues related to mathematics education at an international
level. We grouped the clusters into three main areas: relationships with
psychology, the study of social, cultural and political dimensions, and the
relevance of a theory for mathematics education.


title:
Discrete quantum dot like emitters in monolayer MoSe2: Spatial mapping,
  Magneto-optics and Charge tuning

abstract:
  Transition metal dichalcogenide monolayers such as MoSe2,MoS2 and WSe2 are
direct bandgap semiconductors with original optoelectronic and spin-valley
properties. Here we report spectrally sharp, spatially localized emission in
monolayer MoSe2. We find this quantum dot like emission in samples exfoliated
onto gold substrates and also suspended flakes. Spatial mapping shows a
correlation between the location of emitters and the existence of wrinkles
(strained regions) in the flake. We tune the emission properties in magnetic
and electric fields applied perpendicular to the monolayer plane. We extract an
exciton g-factor of the discrete emitters close to -4, as for 2D excitons in
this material. In a charge tunable sample we record discrete jumps on the meV
scale as charges are added to the emitter when changing the applied voltage.
The control of the emission properties of these quantum dot like emitters paves
the way for further engineering of the light matter interaction in these
atomically thin materials.


title: On Hamiltonian and contact isotopy liftings

abstract:
  We construct counterexamples to lifting properties of Hamiltonian and contact
isotopies.


title:
Electric fields, weighting fields, signals and charge diffusion in
  detectors including resistive materials

abstract:
  In this report we discuss static and time dependent electric fields in
detector geometries with an arbitrary number of parallel layers of a given
permittivity and weak conductivity. We derive the Green's functions i.e. the
field of a point charge, as well as the weighting fields for readout pads and
readout strips in these geometries. The effect of 'bulk' resistivity on
electric fields and signals is investigated. The spreading of charge on thin
resistive layers is also discussed in detail, and the conditions for allowing
the effect to be described by the diffusion equation is discussed. We apply the
results to derive fields and induced signals in Resistive Plate Chambers,
Micromega detectors including resistive layers for charge spreading and
discharge protection as well as detectors using resistive charge division
readout like the MicroCAT detector. We also discuss in detail how resistive
layers affect signal shapes and increase crosstalk between readout electrodes.


title:
Study of the ultrafast dynamics of ferromagnetic materials with a
  Quantum Monte Carlo atomistic model

abstract:
  We study of the ultrafast dynamics of the atomic angular momentum in
ferrimagnets irradiated by laser pulses. My apply a quantum atomistic spin
approach based on the Monte Carlo technique. Our model describes the coherent
transfer of angular momentum between the spin and the orbital momentum as well
as the quenching of the orbital momentum induced by the lattice field. The
Elliott-Yafet collision mechanism is also included. We focus on elementary
mechanisms that lead to the dissipation of the total angular momentum in a rare
earth-transition metal (RE-TM) alloy in which the two sublattices have opposite
spin orientation. Our model shows that the observed ultrafast quenching of the
magnetization can be explained microscopically by the transfer of spin between
the sublattices and by the quenching of the localized orbital angular momentum.


title:
Spherical Harmonics $Y_{l}^{m}(\theta,\phi)$: Positive and Negative
  Integer Representations of su(1,1) for l-m and l+m

abstract:
  The azimuthal and magnetic quantum numbers of spherical harmonics
$Y_{l}^{m}(\theta,\phi)$ describe quantization corresponding to the magnitude
and $z$-component of angular momentum operator in the framework of realization
of $su(2)$ Lie algebra symmetry. The azimuthal quantum number $l$ allocates to
itself an additional ladder symmetry by the operators which are written in
terms of $l$. Here, it is shown that simultaneous realization of the both
symmetries inherits the positive and negative $(l-m)$- and $(l+m)$-integer
discrete irreducible representations for $su(1,1)$ Lie algebra via the
spherical harmonics on the sphere as a compact manifold. So, in addition to
realizing the unitary irreducible representation of $su(2)$ compact Lie algebra
via the $Y_{l}^{m}(\theta,\phi)$'s for a given $l$, we can also represent
$su(1,1)$ noncompact Lie algebra by spherical harmonics for given values of
$l-m$ and $l+m$.


title:
Celebrating the first century of ICMI (1908-2008) Some aspects of the
  history of ICMI

abstract:
  The celebration of the Centennial of the International Commission on
Mathematical Instruction offered the occasion to look back at the history of
ICMI and outline the evolution of mathematics education until it achieved its
present status as an academic discipline. The years after WWII up to the late
1960s were crucial in this evolution for both the settlement of some
institutional aspects, mainly concerning the relationship with mathematicians,
and the establishment of new trends of the activities. In this paper we
outline, on the basis of unpublished documents, the role of two important
figures in those years: Heinrich Behnke and Hans Freudenthal.


title: Kempf-Laksov Schubert classes for even infinitesimal cohomology theories

abstract:
  In this paper, we prove a generalization of Kempf-Laksov formula for the
degeneracy loci classes in even infinitesimal cohomology theories of the
Grassmannian bundle and the Lagrangian Grassmannian bundle.


title: High-energy signatures of binary systems of supermassive black holes

abstract:
  Context. Binary systems of supermassive black holes are expected to be strong
sources of long gravitational waves prior to merging. These systems are good
candidates to be observed with forthcoming space-borne detectors. Only a few of
these systems, however, have been firmly identified to date.
  Aims. We aim at providing a criterion for the identification of some
supermassive black hole binaries based on the characteristics of the
high-energy emission of a putative relativistic jet launched from the most
massive of the two black holes.
  Methods. We study supermassive black hole binaries where the less massive
black hole has carved an annular gap in the circumbinary disk, but nevertheless
there is a steady mass flow across its orbit. Such a perturbed disk is hotter
and more luminous than a standard thin disk in some regions. Assuming that the
jet contains relativistic electrons, we calculate its broadband spectral energy
distribution focusing on the inverse Compton up-scattering of the disk photons.
We also compute the opacity to the gamma rays produced in the jet by photon
annihilation with the disk radiation and take into account the effects of the
anisotropy of the target photon field as seen from the jet.
  Results. We find that the excess of low-energy photons radiated by the
perturbed disk causes an increment in the external Compton emission from the
jet in the X-ray band, and a deep absorption feature at energies of tens of
TeVs for some sets of parameters. According to our results, observations with
Cherenkov telescopes might help in the identification of supermassive black
hole binaries, especially those black hole binaries that host primaries from
tens to hundreds of million of solar masses.


title:
Channel Estimation for Millimeter Wave Multiuser MIMO Systems via
  PARAFAC Decomposition

abstract:
  We consider the problem of uplink channel estimation for millimeter wave
(mmWave) systems, where the base station (BS) and mobile stations (MSs) are
equipped with large antenna arrays to provide sufficient beamforming gain for
outdoor wireless communications. Hybrid analog and digital beamforming
structures are employed by both the BS and the MS due to hardware constraints.
We propose a layered pilot transmission scheme and a CANDECOMP/PARAFAC (CP)
decomposition-based method for joint estimation of the channels from multiple
users (i.e. MSs) to the BS. The proposed method exploits the sparse scattering
nature of the mmWave channel and the intrinsic multi-dimensional structure of
the multiway data collected from multiple modes. The uniqueness of the CP
decomposition is studied and sufficient conditions for essential uniqueness are
obtained. The conditions shed light on the design of the beamforming matrix,
the combining matrix and the pilot sequences, and meanwhile provide general
guidelines for choosing system parameters. Our analysis reveals that our
proposed method can achieve a substantial training overhead reduction by
employing the layered pilot transmission scheme. Simulation results show that
the proposed method presents a clear advantage over a compressed sensing-based
method in terms of both estimation accuracy and computational complexity.


title: Correcting for Cryptic Relatedness in Genome-Wide Association Studies

abstract:
  While the individuals chosen for a genome-wide association study (GWAS) may
not be closely related to each other, there can be distant (cryptic)
relationships that confound the evidence of disease association. These cryptic
relationships violate the GWAS assumption regarding the independence of the
subjects' genomes, and failure to account for these relationships results in
both false positives and false negatives.
  This paper presents a method to correct for these cryptic relationships. We
accurately detect distant relationships using an expectation maximization (EM)
algorithm for finding the identity coefficients from genotype data with know
prior knowledge of relationships. From the identity coefficients we compute the
kinship coefficients and employ a kinship-corrected association test.
  We assess the accuracy of our EM kinship estimation algorithm. We show that
on genomes simulated from a Wright-Fisher pedigree, our method converges
quickly and requires only a relatively small number of sites to be accurate. We
also demonstrate that our kinship coefficient estimates outperform
state-of-the-art covariance-based approaches and PLINK's kinship estimate.
  To assess the kinship-corrected association test, we simulated individuals
from deep pedigrees and drew one site to recessively determine the disease
status. We applied our EM algorithm to estimate the kinship coefficients and
ran a kinship-adjusted association test. Our approach compares favorably with
the state-of-the-art and far out-performs a na\"ive association test.
  We advocate use of our method to detect cryptic relationships and for
correcting association tests. Not only is our model easy to interpret due to
the use of identity states as latent variables, but also inference provides
state-of-the-art accuracy.


title:
Continuum Electrostatics Approaches to Calculating p$K_a$s and $E_m$s in
  Proteins

abstract:
  Proteins change their charge state through protonation and redox reactions as
well as through binding charged ligands. The free energy of these reactions are
dominated by solvation and electrostatic energies and modulated by protein
conformational relaxation in response to the ionization state changes. Although
computational methods for calculating these interactions can provide very
powerful tools for predicting protein charge states, they include several
critical approximations of which users should be aware. This chapter discusses
the strengths, weaknesses, and approximations of popular computational methods
for predicting charge states and understanding their underlying electrostatic
interactions. The goal of this chapter is to inform users about applications
and potential caveats of these methods as well as outline directions for future
theoretical and computational research.


title: Upholding the diffraction limit in the focusing of light and sound

abstract:
  The concept of the diffraction limit put forth by Ernst Abbe and others has
been an important guiding principle limiting our ability to tightly focus
classical waves, such as light and sound, in the far field. In the past decade,
numerous reports have described focusing or imaging with light and sound "below
the diffraction limit". We argue that the diffraction limit defined in a
reasonable way, for example in terms of the upper bound on the wave numbers
corresponding to the spatial Fourier components of the intensity profile, or in
terms of the spot size into which at least 50% of the incident power can be
focused, still stands unbroken to this day. We review experimental observations
of "subwavelength" or "sub-diffraction-limit" focusing, which can be
principally broken down into three broad categories: (i) "super-resolution",
i.e. the technique based on the modification of the pupil of the optical system
to reduce the width of the central maximum in the intensity distribution at the
expense of increasing side bands; (ii) solid immersion lenses, making use of
metamaterials with a high effective index; (iii) concentration of intensity by
a subwavelength structure such as an antenna. Even though a lot of interesting
work has been done along these lines, none of the hitherto performed
experiments violated the sensibly defined diffraction limit.


title: Configurational space continuity and free energy calculations

abstract:
  Free energy is arguably the most importance function(al) for understanding of
molecular systems. A number of rigorous and approximate free energy
calculation/estimation methods have been developed over many decades. One
important issue, the continuity of an interested macrostate (or path) in
configurational space, has not been well articulated, however. As a matter of
fact, some important special cases have been intensively discussed. In this
perspective, I discuss the relevance of configurational space continuity in
development of more efficient and reliable next generation free energy
methodologies.


title: Measuring and Discovering Correlations in Large Data Sets

abstract:
  In this paper, a class of statistics named ART (the alternant recursive
topology statistics) is proposed to measure the properties of correlation
between two variables. A wide range of bi-variable correlations both linear and
nonlinear can be evaluated by ART efficiently and equitably even if nothing is
known about the specific types of those relationships. ART compensates the
disadvantages of Reshef's model in which no polynomial time precise algorithm
exists and the "local random" phenomenon can not be identified. As a class of
nonparametric exploration statistics, ART is applied for analyzing a dataset of
10 American classical indexes, as a result, lots of bi-variable correlations
are discovered.


title: Billiard transformations of parallel flows: a periscope theorem

abstract:
  We consider the following problem: given two parallel and identically
oriented bundles of light rays in n-dimensional Euclidean space and given a
diffeomorphism between the rays of the former bundle and the rays of the latter
one, is it possible to realize this diffeomorphism by means of several mirror
reflections? We prove that a 2-mirror realization is possible if and only if
the diffeomorphism is the gradient of a function. We further prove that any
orientation reversing diffeomorphism of domains in the plane is locally the
composition of two gradient diffeomorphisms, and therefore can be realized by 4
mirror reflections of light rays in 3-space, while an orientation preserving
diffeomorphism can be realized by 6 reflections. In general, we prove that an
(orientation reversing or preserving) diffeomorphism of wave fronts of two
normal families of light rays in 3-space can be realized by 6 or 7 reflections.


title:
Note on the construction of globular weak omega-groupoids from types,
  topological spaces etc

abstract:
  A short introduction to Grothendieck weak omega-groupoids is given. Our aim
is to give evidence that, in certain contexts, this simple language is a
convenient one for constructing globular weak omega-groupoids. To this end, we
give a short reworking of van den Berg and Garner's construction of a Batanin
weak omega-groupoid from a type using the language of Grothendieck weak
omega-groupoids.


title: Universal Refocusing of Systematic Quantum Noise

abstract:
  Refocusing of a quantum system in NMR and quantum information processing can
be achieved by application of short pulses according to the methods of spin
echo and dynamical decoupling. However, these methods are strongly limited by
the requirement that the evolution of the system between pulses be suitably
small. Here we show how refocusing may be achieved for arbitrary (but
time-independent) evolution of the system between pulses. We first illustrate
the procedure with one-qubit systems, and then generalize to $d$-dimensional
quantum systems. We also give an application of this result to quantum
computation, proving a new version of the Solovay-Kitaev theorem that does not
require inverse gates.


title:
Non-Scanning Fiber-Optic Near-Infrared Beam Led to Two-Photon
  Optogenetic Stimulation In-Vivo

abstract:
  Stimulation of specific neurons expressing opsins in a targeted region to
manipulate brain function has proved to be a powerful tool in neuroscience.
However, the use of visible light for optogenetic stimulation is invasive due
to low penetration depth and tissue damage owing to larger absorption and
scattering. Here, we report, for the first time, in-depth non-scanning
fiber-optic two-photon optogenetic stimulation (FO-TPOS) of neurons in-vivo in
transgenic mouse models. In order to optimize the deep-brain stimulation
strategy, we characterized two-photon activation efficacy at different
nearinfrared laser parameters. The significantly-enhanced in-depth stimulation
efficiency of FO-TPOS as compared to conventional single-photon beam was
demonstrated both by experiments and Monte Carlo simulation. The non-scanning
FO-TPOS technology will lead to better understanding of the in-vivo neural
circuitry because this technology permits more precise and less invasive
anatomical delivery of stimulation.


title: On Subgroups of Topologized Fundamental Groups and Generalized Coverings

abstract:
  In this paper, we are interested in study subgroups of topologized
fundamental groups and their influences on generalized covering maps. More
precisely, we find some relationships between generalized covering subgroups
and the other famous subgroups of the fundamental group equipped with the
compact-open topology and the whisker topology. Moreover, we present some
conditions under which generalized coverings, semicoverings and coverings are
equal.


title:
Classical stochastic dynamics and continuous matrix product states:
  gauge transformations, conditioned and driven processes, and equivalence of
  trajectory ensembles

abstract:
  Borrowing ideas from open quantum systems, we describe a formalism to encode
ensembles of trajectories of classical stochastic dynamics in terms of
continuous matrix product states (cMPSs). We show how to define in this
approach "biased" or "conditioned" ensembles where the probability of
trajectories is biased from that of the natural dynamics by some condition on
trajectory observables. In particular, we show that the generalised Doob
transform which maps a conditioned process to an equivalent "auxiliary" or
"driven" process (one where the same conditioned set of trajectories is
generated by a proper stochastic dynamics) is just a gauge transformation of
the corresponding cMPS. We also discuss how within this framework one can
easily prove properties of the dynamics such as trajectory ensemble equivalence
and fluctuation theorems.


title: Can one quantum bit separate any pair of words with zero-error?

abstract:
  Determining the minimum number of states required by a finite automaton to
separate a given pair of different words is an important problem. In this
paper, we consider this problem for quantum automata (QFAs). We show that
2-state QFAs can separate any pair of words in nondeterministic acceptance mode
and conjecture that they can separate any pair also with zero-error. Then, we
focus on (a more general problem) separating a pair of two disjoint finite set
of words. We show that QFAs can separate them efficiently in nondeterministic
acceptance mode, i.e. the number of states is two to the power of the size of
the small set. Additionally, we examine affine finite automata (AfAs) and show
that two states are enough to separate any pair with zero-error. Moreover, AfAs
can separate any pair of disjoint finite sets of words with one-sided bounded
error efficiently like QFAs in nondeterministic mode.


title: Spin structures on compact homogeneous pseudo-Riemannian manifolds

abstract:
  We study spin structures on compact simply-connected homogeneous
pseudo-Riemannian manifolds (M = G/H, g) of a compact semisimple Lie group G.
We classify flag manifolds F = G/H of a compact simple Lie group which are
spin. This yields also the classification of all flag manifolds carrying an
invariant metaplectic structure. Then we investigate spin structures on
principal torus bundles over flag manifolds, i.e. C-spaces, or equivalently
simply-connected homogeneous complex manifolds M=G/L of a compact semisimple
Lie group G. We study the topology of M and we provide a sufficient and
necessary condition for the existence of an (invariant) spin structure, in
terms of the Koszul form of F. We also classify all C-spaces which are fibered
over an exceptional spin flag manifold and hence they are spin.