title:
Temperature dependent magnetic, dielectric and Raman studies of
  partially disordered La2NiMnO6

abstract:
  We report a detailed magnetic, dielectric and Raman studies on partially
disordered and biphasic double perovskite La2NiMnO6. DC and AC magnetic
susceptibility measurements show two magnetic anomalies at TC1 ~ 270 K and TC2
~ 240 K, which may indicate the ferromagnetic ordering of the monoclinic and
rhombohedral phases, respectively. A broad peak at a lower temperature (Tsg ~
70 K) is also observed indicating a spin-glass transition due to partial
anti-site disorder of Ni2+ and Mn4+ ions. Unlike the pure monoclinic phase, the
biphasic compound exhibits a broad but a clear dielectric anomaly around 270 K
which is a signature of magneto-dielectric effect. Temperature-dependent Raman
studies between the temperature range 12 K to 300 K in a wide spectral range
from 220 cm-1 to 1530 cm-1 reveal a strong renormalization of the first as well
as second-order Raman modes associated with the (Ni/Mn)O6 octahedra near TC1
implying a strong spin-phonon coupling. In addition, an anomaly is seen in the
vicinity of spin-glass transition temperature in the temperature dependence of
the frequency of the anti-symmetric stretching vibration of the octahedra.


title: Paramagnetic instability of small topological superconductors

abstract:
  Although the diamagnetism is of the essence in the superconducting phenomena,
small enough topological (or unconventional) superconductors are paramagnetic.
By solving the quasiclassical Eilenberger equation and the Maxwell equation
self-consistently in two-dimensional disks, we theoretically study the response
of small superconductors to weak magnetic field. Because of the topologically
nontrivial character of the wave function, the unconventional superconductor
hosts the zero-energy surface Andreev bound states which always accompany the
odd-frequency Cooper pairs. The paramagnetic property of the odd-frequency
pairs explains the unusual Meissner effect at low temperature.


title: Gravitational potential of a point mass in a brane world

abstract:
  In brane world models, combining the extra dimensional field modes with the
standard four dimensional ones yields interesting physical consequences that
have been proved from high energy physics to cosmology. Even some low energy
phenomena have been considered along these lines to set bounds on the brane
model parameters. In this work we extend to the gravitational realm a previous
result which gave finite electromagnetic and scalar potentials and self
energies for a source looking pointlike to an observer sitting in a 4D
Minkowski subspace of the single brane of a Randall-Sundrum spacetime including
compact dimensions. We calculate here the gravitational field for the same type
of source by solving the linearized Einstein equations. Remarkably, it turns
out to be also non singular. Moreover, we use gravitational experimental
results of the Cavendish type and the Parameterized Post Newtonian (PPN)
coefficients, to look for admissible values of the brane model parameters. The
anti de Sitter radius hereby obtained is concordant with previous results based
on Lamb shift in hydrogen. However, the resulting PPN parameters lie outside
the acceptable value domain.


title:
The accessibility of convex bodies and derandomization of the hit and
  run algorithm

abstract:
  We introduce the concept of accessibility and prove that any convex body $X$
in $\mathbb R^d$ is accessible with relevant constants depending on $d$ only.
This property leads to a new algorithm which may be considered as a natural
derandomization of the hit and run algorithm applied to generate a sequence of
random points covering $X$ uniformly. We prove stability of the Markov chain
generated by the proposed algorithm and provide its rate of convergence.


title: Proceedings 2nd Workshop on GRAPH Inspection and Traversal Engineering

abstract:
  These are the proceedings of the Second Workshop on GRAPH Inspection and
Traversal Engineering (GRAPHITE 2013), which took place on March 24, 2013 in
Rome, Italy, as a satellite event of the 16th European Joint Conferences on
Theory and Practice of Software (ETAPS 2013).
  The topic of the GRAPHITE workshop is graph analysis in all its forms in
computer science. Graphs are used to represent data in many application areas,
and they are subjected to various computational algorithms in order to acquire
the desired information. These graph algorithms tend to have common
characteristics, such as duplicate detection to guarantee their termination,
independent of their application domain. Over the past few years, it has been
shown that the scalability of such algorithms can be dramatically improved by
using, e.g., external memory, by exploiting parallel architectures, such as
clusters, multi-core CPUs, and graphics processing units, and by using
heuristics to guide the search. Novel techniques to further scale graph search
algorithms, and new applications of graph search are within the scope of this
workshop.
  Another topic of interest of the event is more related to the structural
properties of graphs: which kind of graph characteristics are relevant for a
particular application area, and how can these be measured? Finally, any novel
way of using graphs for a particular application area is on topic.
  The goal of this event is to gather scientists from different communities,
such as model checking, artificial intelligence planning, game playing, and
algorithm engineering, who do research on graph search algorithms, such that
awareness of each others' work is increased.


title: A Novel High-Pressure Monoclinic Metallic Phase of V2O3

abstract:
  Vanadium sesquioxide, V2O3, is a prototypical metal-to-insulator system
where, in temperature-dependent studies, the transition always coincides with a
corundum-to-monoclinic structural transition. As a function of pressure, V2O3
follows the expected behavior of increased metallicity due to a larger
bandwidth for pressures up to 12.5 GPa. Surprisingly, for higher pressures when
the structure becomes unstable, the resistance starts to increase. Around 32.5
GPa at 300 K, we observe a novel pressure-induced corundum-to-monoclinic
transition between two metallic phases, showing that the structural phase
transition can be decoupled from the metal-insulator transition. Using X-ray
Raman scattering, we find that screening effects, which are strong in the
corundum phase, become weakened at high pressures. Theoretical calculations
indicate that this can be related to a decrease in coherent quasiparticle
strength, suggesting that the high-pressure phase is likely a critical
correlated metal, on the verge of Mott-insulating behavior.


title:
Observation of momentum-confined in-gap impurity state in
  Ba$_{0.6}$K$_{0.4}$Fe$_2$As$_2$: evidence for anti-phase $s_{\pm}$ pairing

abstract:
  We report the observation by angle-resolved photoemission spectroscopy of an
impurity state located inside the superconducting gap of
Ba$_{0.6}$K$_{0.4}$Fe$_2$As$_2$ and vanishing above the superconducting
critical temperature, for which the spectral weight is confined in momentum
space near the Fermi wave vector positions. We demonstrate, supported by
theoretical simulations, that this in-gap state originates from weak
non-magnetic scattering between bands with opposite sign of the superconducting
gap phase. This weak scattering, likely due to off-plane Ba/K disorders, occurs
mostly among neighboring Fermi surfaces, suggesting that the superconducting
gap phase changes sign within holelike (and electronlike) bands. Our results
impose severe restrictions on the models promoted to explain high-temperature
superconductivity in these materials.


title: Interacting heavy fermions in a disordered optical lattice

abstract:
  We have theoretically studied the effect of disorder on ultracold
alkaline-earth atoms governed by the Kondo lattice model in an optical lattice
via simplified double-well model and hybridization mean-field theory.
Disorder-induced narrowing and even complete closure of hybridization gap have
been predicted and the compressibility of the system has also been investigated
for metallic and Kondo insulator phases in the presence of the disordered
potential. To make connection to the experimental situation, we have
numerically solved the disordered Kondo lattice model with an external harmonic
trap and shown both the melting of Kondo insulator plateau and an
compressibility anomaly at low-density.


title: On the automorphism of a smooth Schubert variety

abstract:
  Let $G$ be a simple algebraic group of adjoint type over the field
$\mathbb{C}$ of complex numbers. Let $B$ be a Borel subgroup of $G$ containing
a maximal torus $T$ of $G$. Let $w$ be an element of the Weyl group $W$ and let
$X(w)$ be the Schubert variety in $G/B$ corresponding to $w$. Let $\alpha_{0}$
denote the highest root of $G$ with respect to $T$ and $B.$ Let $P$ be the
stabiliser of $X(w)$ in $G.$ In this paper, we prove that if $G$ is simply
laced and $X(w)$ is smooth, then the connected component of the automorphism
group of $X(w)$ containing the identity automorphism equals $P$ if and only if
$w^{-1}(\alpha_{0})$ is a negative root ( see Theorem 4.2 ). We prove a partial
result in the non simply laced case ( see Theorem 6.6 ).


title: Subgroups of the additive group of real line

abstract:
  Without assuming the field structure on the additive group of real numbers
$\mathbb{R}$ with the usual order $<,$ we explore the fact that every proper
subgroup of $\mathbb{R}$ is either closed or dense. This property of subgroups
of the additive group of reals is special and well known (see Abels and
Monoussos [4]). However, by revisiting it, we provide another direct proof. We
also generalize this result to arbitrary topological groups in the sense that,
any topological group having this property of the subgroups in a given topology
is either connected or totally disconnected.


title:
Positive solutions to some nonlinear fractional Schr\"odinger equations
  via a min-max procedure

abstract:
  The existence of a positive solution to the following fractional semilinear
equation is proven, in a situation where a ground state solution may not exist.
More precisely, we consider for $0<s<1$ the equation $$ (-\Delta)^s u +
V(x)u=Q(x)|u|^{p-2}u \quad\text{in }\mathbb{R}^N,\ N\geq 1,$$ where the
exponent $p$ is superlinear but subcritical, and $V>0$, $Q\geq 0$ are bounded
functions converging to $1$ as $|x|\to\infty$. Using a min-max procedure
introduced by Bahri and Li we prove the existence of a positive solution under
one-sided asymptotic bounds for $V$ and $Q$.


title:
A Series of High Order Quasi-Compact Schemes for Space Fractional
  Diffusion Equations Based on the Superconvergent Approximations for
  Fractional Derivatives

abstract:
  Based on the superconvergent approximation at some point (depending on the
fractional order $\alpha$, but not belonging to the mesh points) for
Gr\"{u}nwald discretization to fractional derivative, we develop a series of
high order quasi-compact schemes for space fractional diffusion equations.
Because of the quasi-compactness of the derived schemes, no points beyond the
domain are used for all the high order schemes including second order, third
order, fourth order, and even higher order schemes; moreover, the algebraic
equations for all the high order schemes have the completely same matrix
structure. The stability and convergence analysis for some typical schemes are
made; the techniques of treating the nonhomogeneous boundary conditions are
introduced; and extensive numerical experiments are performed to confirm the
theoretical analysis or verify the convergence orders.


title:
The flow around a macroscopical body by a colloid solution and the drag
  crisis

abstract:
  The motion of colloids in the flow field of a viscous liquid is investigated.
The small colloid size compare to the macroscopical scale of the flow allow to
calculate their velocity relative to that of the liquid. If the inner colloid
density is larger then the density of the liquid the flow field has the domains
where the colloid velocity is close to the liquid velocity. But in the domains
with a strong braking of the liquid velocity the colloids are accelerated
relative to the liquid. This effect is used for the qualitative explanation of
the drag reduction in the flow around macroscopical bodies and in the pipes.


title:
Quantization of the electromagnetic field outside high-dimensional
  static black holes and its application outside the Gauss-Bonnet black hole

abstract:
  In present paper, we investigated the quantization of an electromagnetic
field in the background of static spherically symmetric d-dimensional spacetime
in the Boulware vacuum. We have also calculated the response rate of a static
charge outside both d-dimensional Schwarzschild black hole and the GB black
hole in the low-frequency regime, which can be expressed as the summation of
hypergeometric functions.


title:
General constraint preconditioning iteration method for singular
  saddle-point problems

abstract:
  For the singular saddle-point problems with nonsymmetric positive definite
$(1,1)$ block, we present a general constraint preconditioning (GCP) iteration
method based on a singular constraint preconditioner. Using the properties of
the Moore-Penrose inverse, the convergence properties of the GCP iteration
method are studied. In particular, for each of the two different choices of the
$(1,1)$ block of the singular constraint preconditioner, a detailed convergence
condition is derived by analyzing the spectrum of the iteration matrix.
Numerical experiments are used to illustrate the theoretical results and
examine the effectiveness of the GCP iteration method. Moreover, the
preconditioning effects of the singular constraint preconditioner for restarted
generalized minimum residual (GMRES) and quasi-minimal residual (QMR) methods
are also tested.


title: Probing charmonium-like state $X(3915)$ through meson photoproduction

abstract:
  Inspired by the observation of charmonium-like state $X(3915)$, we explore
the discovery potential of the $X(3915)$ production via meson photoproduction
process. By investigating the $\gamma p \to J/\psi\omega p$ process including
the $X(3915)$ signal and background contributions, we obtain the corresponding
information of the cross section, the Dalitz plot and the $J/\psi\omega$
invariant mass spectrum, which is helpful to further experimental study of
$X(3915)$ via meson photoproduction.


title:
New cylindrical gravitational soliton waves and gravitational Faraday
  rotation

abstract:
  In terms of gravitational solitons, we study gravitational non-linear effects
of gravitational solitary waves such as Faraday rotation. Applying the
Pomeransky's procedure for inverse scattering method, which has been recently
used for constructing stationary black hole solutions in five dimensions to a
cylindrical spacetime in four dimensions, we construct a new cylindrically
symmetric soliton solution. This is the first example to be applied to the
cylindrically symmetric case. In particular, we clarify the difference from the
Tomimatsu's single soliton solution, which was constructed by the
Belinsky-Zakharov's procedure.


title:
Equilibrium of a Brownian particle in an inhomogeneous medium: An
  alternative approach

abstract:
  We look at the equilibrium of a Brownian particle in an inhomogeneous space
following the alternative approach proposed in ref.[1]. We consider a
coordinate dependent damping that makes the stochastic dynamics the one with
multiplicative noise. Here we show that the mapping to an additive noise gives
the equilibrium distribution of the generalized Langevin dynamics of a particle
with mass. The procedure does not need inclusion of any ad hoc current
cancelling term in the Langevin dynamics. The result shows a modified
Maxwell-Boltzmann distribution with a damping dependent amplitude.


title: A Consensus-Focused Group Recommender System

abstract:
  In many cases, recommendations are consumed by groups of users rather than
individuals. In this paper, we present a system which recommends social events
to groups. The system helps groups to organize a joint activity and
collectively select which activity to perform among several possible options.
We also facilitate the consensus making, following the principle of group
consensus decision making. Our system allows users to asynchronously vote, add
and comment on alternatives. We observe social influence within groups through
post-recommendation feedback during the group decision making process. We
propose a decision cascading model and estimate such social influence, which
can be used to improve the performance of group recommendation. We conduct
experiments to measure the prediction performance of our model. The result
shows that the model achieves better results than that of independent decision
making model.


title: Language Modeling with Power Low Rank Ensembles

abstract:
  We present power low rank ensembles (PLRE), a flexible framework for n-gram
language modeling where ensembles of low rank matrices and tensors are used to
obtain smoothed probability estimates of words in context. Our method can be
understood as a generalization of n-gram modeling to non-integer n, and
includes standard techniques such as absolute discounting and Kneser-Ney
smoothing as special cases. PLRE training is efficient and our approach
outperforms state-of-the-art modified Kneser Ney baselines in terms of
perplexity on large corpora as well as on BLEU score in a downstream machine
translation task.


title:
Study of the process $e^+e^-\to\eta\gamma$ in the center-of-mass energy
  range 1.07--2.00 GeV

abstract:
  The $e^+e^-\to\eta\gamma$ cross section has been measured in the
center-of-mass energy range 1.07--2.00 GeV using the decay mode $\eta\to
3\pi^0$, $\pi^0\to \gamma\gamma$. The analysis is based on 36 pb$^{-1}$ of
integrated luminosity collected with the SND detector at the VEPP-2000 $e^+e^-$
collider. The measured cross section of about 35 pb at 1.5 GeV is explained by
decays of the $\rho(1450)$ and $\phi(1680)$ resonances.


title: Size effect on deformation twinning at the nanoscale in hcp metals

abstract:
  Deformation twinning is generally considered to be the primary mechanism for
hexagonal close-packed (hcp) metals due to their limited slip systems. Recent
microcompression experiments on hcp metals point to intriguing strong size
effects on twinning mechanisms, indicating that pyramidal slips dominate
compression.In this work we analyze size effects on twinning due to
lattice-rotation strain in hcp single crystals. A criterion for deformation
twinning is derived at the nanoscale and tested by molecular dynamics
simulations of magnesium and titanium single crystals. The results show <c+a>
pyramidal slip dominates the compression deformation at the nanoscale,
consistent with experimental observations as well as our analysis. Our finding
clarifies the nature of size effects in deformation twinning, while also
providing an explanation for the so-called strength differential (SD) effect.


title: Ring-shaped polariton lasing in pillar microcavities

abstract:
  Optically generated exciton-polaritons in cylindric semiconductor pillar
microcavity with embedded GaAs/AlGaAs quantum wells demonstrate a clear
polariton lasing regime. When exciting in the center of the pillar we detect a
ring-shaped emission, where the peak of intensity can be separated from the
excitation spot by more than 10 micrometers. The spatial coherence of the ring
emission is verified by interferometry measurements. These observations are
interpreted by drift of the exciton polariton condensate away from the
excitation spot due to its repulsion from the exciton reservoir and by its
spatial confinement by the pillar boundary.


title: Thermodynamic resolution of Gibbs paradox

abstract:
  It is shown that the Gibbs paradox is actually paralogism, viz. an erroneous
statement sounding credible due to the statistic-mechanical interpretation of
entropy as a measure of "any and all" irreversibility. As an alternative, the
thermodynamic theory of irreversible mixing processes are offered.


title: Critical stability of few-body systems

abstract:
  When a two-body system is bound by a zero-range interaction, the
corresponding three-body system -- considered in a non-relativistic framework
-- collapses, that is its binding energy is unbounded from below. In a paper by
J.V. Lindesay and H.P. Noyes it was shown that the relativistic effects result
in an effective repulsion in such a way that three-body binding energy remains
also finite, thus preventing the three-body system from collapse. Later, this
property was confirmed in other works based on different versions of
relativistic approaches. However, the three-body system exists only for a
limited range of two-body binding energy values. For stronger two-body
interaction, the relativistic three-body system still collapses.
  A similar phenomenon was found in a two-body systems themselves: a
two-fermion system with one-boson exchange interaction in a state with zero
angular momentum J=0 exists if the coupling constant does not exceed some
critical value but it also collapses for larger coupling constant. For a J=1
state, it collapses for any coupling constant value. These properties are
called "critical stability". This contribution aims to be a brief review of
this field pioneered by H.P. Noyes.


title: Structural and electronic properties of uranium-encapsulated Au14 cage

abstract:
  The structural properties of the uranium-encapsulated nano-cage U@Au14 are
predicted using density functional theory. The presence of the uranium atom
makes the Au14 structure more stable than the empty Au14-cage, with a triplet
ground electronic state for U@Au14. Analysis of the electronic structure shows
that the two frontier single-occupied molecular orbital electrons of U@Au14
mainly originate from the 5f shell of the U atom after charge transfer.
Meanwhile, the bonding orbitals have both the 5f and 6d components of the U
atom, along with the 5d and 6s components of the Au atoms, indicating the
covalent nature of the interaction between the U and Au atoms. Moreover, the
charge population analysis shows that this nanostructure displays some unique
electronic properties where the encapsulated atom gains electrons while the
outer shell loses electrons. Therefore, this designed U@Au14 nano-cage
structure is stabilized by ionocovalent interactions. The current findings
provide theoretical basis for future syntheses and further study of actinide
doped gold nanoclusters, which might subsequently facilitate applications of
such structure in radio-labeling, nanodrug carrier and other biomedical
applications.


title: On the Bondi mass of Maxwell-Klein-Gordon spacetimes

abstract:
  In this paper we calculate the Bondi mass of asymptotically flat spacetimes
with interacting electromagnetic and scalar fields. The system of coupled
Einstein-Maxwel-Klein-Gordon equations is investigated and corresponding field
equations are written in the spinor form and in the Newman-Penrose formalism.
Asymptotically flat solution of the resulting system is found near null
infinity. Finally we use the asymptotic twistor equation to find the Bondi mass
of the spacetime and derive the Bondi mass-loss formula. We compare the results
with our previous work \cite{BST2} and show that, unlike the conformal scalar
field, the (Maxwell-)Klein-Gordon field has negatively semi-definite mass-loss
formula.


title:
Finding More Relevance: Propagating Similarity on Markov Random Field
  for Image Retrieval

abstract:
  To effectively retrieve objects from large corpus with high accuracy is a
challenge task. In this paper, we propose a method that propagates visual
feature level similarities on a Markov random field (MRF) to obtain a high
level correspondence in image space for image pairs. The proposed
correspondence between image pair reflects not only the similarity of low-level
visual features but also the relations built through other images in the
database and it can be easily integrated into the existing
bag-of-visual-words(BoW) based systems to reduce the missing rate. We evaluate
our method on the standard Oxford-5K, Oxford-105K and Paris-6K dataset. The
experiment results show that the proposed method significantly improves the
retrieval accuracy on three datasets and exceeds the current state-of-the-art
retrieval performance.


title:
Spitzer observations of a circumstellar nebula around the candidate
  Luminous Blue Variable MWC 930

abstract:
  MWC 930 is a star just ~2{\deg} above the Galactic plane whose nature is not
clear and that has not been studied in detail so far. While a post-Asymptotic
Giant Branch (AGB) classification was proposed in the past, studies of its
optical spectrum and photometry pointed toward strong variability, therefore
the object was reclassified as a Luminous Blue Variable (LBV) candidate. LBVs
typically undergo phases of strong mass loss in the form of eruptions that can
create shells of ejecta around the star. Our goal is to search for the presence
of such a circumstellar nebula in MWC 930 and investigate its properties. To do
so, we make use of space-based infrared data from our Spitzer campaign
performed with the InfraRed Array Camera (IRAC) and the InfraRed Spectrograph
(IRS) as well as data from optical and infrared (IR) surveys. In our Spitzer
images, we clearly detect an extended shell around MWC 930 at wavelengths
longer than 5 um. The mid-infrared spectrum is dominated by the central star
and mostly shows forbidden lines of [FeII], with an underlying continuum that
decreases with wavelength up to ~15 um and then inverts its slope, displaying a
second peak around 60 um, evidence for cold dust grains formed in a past
eruption. By modeling the SED, we identify two central components, besides the
star and the outer shell. These extra sources of radiation are interpreted as
material close to the central star, maybe due to a recent ejection. Features of
C-bearing molecules or grains are not detected.


title: Normal heat conductivity in chains capable of dissociation

abstract:
  The paper suggests a resolution for recent controversy over convergence of
heat conductivity in one-dimensional chains with asymmetric nearest-neighbor
potential. We conjecture that the convergence is promoted not by the mere
asymmetry of the potential, but due to ability of the chain to dissociate. In
other terms, the attractive part of the potential function should approach a
finite value as the distance between the neighbors grows. To clarify this
point, we study the simplest model of this sort -- a chain of linearly elastic
disks with finite diameter. If the distance between the disk centers exceeds
their diameter, the disks cease to interact. Formation of gaps between the
disks is the only possible mechanism for scattering of the oscillatory waves.
Heat conduction in this system turns out to be convergent. Moreover, an
asymptotic behavior of the heat conduction coefficient for the case of large
densities and relatively low temperatures obeys simple Arrhenius-type law. In
the limit of low densities, the heat conduction coefficient converges due to
triple disk collisions. Numeric observations in both limits are grounded by
analytic arguments. In a chain with Lennard-Jones nearest-neighbor potential
the heat conductivity also saturates in a thermodynamic limit and the
coefficient also scales according to the Arrhenius law for low temperatures.
This finding points on a universal role played by the possibility of
dissociation, as convergence of the heat conduction coefficient is considered.


title:
Time-Energy Optimal Control of a Mobile Robot Using Direct Numerical
  Method

abstract:
  Optimal control of a mobile robot system is formulated. Multiobjective
criteria of time and energy is employed. The optimal control problem is
formulated as a nonlinear programming problem (NLP). The problem is solved
using the direct method of numerical optimal control. This setting showed great
flexibility in incorporating different information relating to the problem,
namely physical constraints and nonlinear dynamics of the system. System inputs
are considered as optimization variables, along with sampling periods of the
applied inputs being optimization variables as well. Different scenarios on
objectives of the problem are implemented and investigated. Interesting results
are found in terms of complying with the expected behavior of a mobile robot
system.


title: Simple geodesics and Markoff quads

abstract:
  The action of the mapping class group of the thrice-punctured projective
plane on its $\mathrm{GL}(2,\mathbb{C})$ character variety produces an
algorithm for generating the simple length spectra of quasi-Fuchsian
thrice-punctured projective planes. We apply this algorithm to quasi-Fuchsian
representations of the corresponding fundamental group to prove: a sharp
upper-bound for the length of its shortest geodesic, a McShane identity and the
surprising result of non-polynomial growth for the number of simple closed
geodesic lengths.


title: Non-self-adjoint resolutions of the identity and associated operators

abstract:
  Closed operators in Hilbert space defined by a non-self-adjoint resolution of
the identity $\{X(\lambda)\}_{\lambda\in {\mb R}}$, whose adjoints constitute
also a resolution of the identity, are studied . In particular, it is shown
that a closed operator $B$ has a spectral representation analogous to the
familiar one for self-adjoint operators if and only if $B=TAT^{-1}$ where $A$
is self-adjoint and $T$ is a bounded operator with bounded inverse.


title: Bulk topological insulators as inborn spintronics detectors

abstract:
  Detection and manipulation of electrons' spins are key prerequisites for
spin-based electronics or spintronics. This is usually achieved by contacting
ferromagnets with metals or semiconductors, in which the relaxation of spins
due to spin-orbit coupling limits both the efficiency and the length scale. In
topological insulator materials, on the contrary, the spin-orbit coupling is so
strong that the spin direction uniquely determines the current direction, which
allows us to conceive a whole new scheme for spin detection and manipulation.
Nevertheless, even the most basic process, the spin injection into a
topological insulator from a ferromagnet, has not yet been demonstrated. Here
we report successful spin injection into the surface states of topological
insulators by using a spin pumping technique. By measuring the voltage that
shows up across the samples as a result of spin pumping, we demonstrate that a
spin-electricity conversion effect takes place in the surface states of
bulk-insulating topological insulators Bi1.5Sb0.5Te1.7Se1.3 and Sn-doped
Bi2Te2Se. In this process, due to the two-dimensional nature of the surface
state, there is no spin current along the perpendicular direction. Hence, the
mechanism of this phenomenon is different from the inverse spin Hall effect and
even predicts perfect conversion between spin and electricity at room
temperature. The present results reveal a great advantage of topological
insulators as inborn spintronics devices.


title:
Synchronization and chaos in spin-transfer-torque nano-oscillators
  coupled via a high speed Op Amp

abstract:
  We propose a system of two coupled spin-torque nano-oscillators (STNOs), one
driver and another response, and demonstrate {using numerical studies} the
synchronization of the response system to the frequency of the driver system.
To this end we use a high speed operational amplifier in the form of a voltage
follower which essentially isolates the drive system from the response system.
We find the occurrence of 1:1 as w ell as 2:1 synchronization in the system,
wherein the oscillators show limit cycle dynamics. An increase in power output
is noticed when the two oscillators are locked in 1:1 synchronization. Moreover
in the cro ssover region between these two synchronization dynamics we show the
existence of chaotic dynamics in the slave system. The coupled dynamics under
periodic forcing, using a small ac input current in addition to that of the dc
part, is also studied. The slave oscillator is seen to retain its qualitative
identity in the parameter space in spite of being fed in, at times, a chaotic
signal. Such electrically coupled STNOs will be highly useful in fabricating
commercial spin-valve oscillators with high power output, when integrated with
other spintronic devices.


title: Bridge distance and plat projections

abstract:
  We calculate the bridge distance for $m$-bridge knots/links in the $3$-sphere
with sufficiently complicated $2m$-plat projections. In particular we show that
if the underlying braid of the plat has $n - 1$ rows of twists and all its
exponents have absolute value greater than or equal to three then the distance
of the bridge sphere is exactly $\lceil n/(2(m - 2)) \rceil$, where $\lceil x
\rceil$ is the smallest integer greater than or equal to $x$. As a corollary,
we conclude that if such a diagram has more than $4m(m-2)$ rows then the bridge
sphere defining the plat projection is the unique minimal bridge sphere for the
knot.


title:
The Markov chain tree theorem and the state reduction algorithm in
  commutative semirings

abstract:
  We extend the Markov chain tree theorem to general commutative semirings, and
we generalize the state reduction algorithm to commutative semifields. This
leads to a new universal algorithm, whose prototype is the state reduction
algorithm which computes the Markov chain tree vector of a stochastic matrix.


title: The Kepler map in the three-body problem

abstract:
  The Kepler map was derived by Petrosky (1986) and Chirikov and Vecheslavov
(1986) as a tool for description of the long-term chaotic orbital behaviour of
the comets in nearly parabolic motion. It is a two-dimensional area-preserving
map, describing the motion of a comet in terms of energy and time. Its second
equation is based on Kepler's third law, hence the title of the map. Since
1980s the Kepler map has become paradigmatic in a number of applications in
celestial mechanics and atomic physics. It represents an important kind of
general separatrix maps. Petrosky and Broucke (1988) used refined methods of
mathematical physics to derive analytical expressions for its single parameter.
These methods became available only in the second half of the 20th century, and
it may seem that the map is inherently a very modern mathematical tool. With
the help of the Jacobi integral I show that the Kepler map, including
analytical formulae for its parameter, can be derived by quite elementary
methods. The prehistory and applications of the Kepler map are considered and
discussed.


title:
Basic Module Theory over Non-Commutative Rings with Computational
  Aspects of Operator Algebras

abstract:
  The present text surveys some relevant situations and results where basic
Module Theory interacts with computational aspects of operator algebras. We
tried to keep a balance between constructive and algebraic aspects.


title: A functional RG equation for the c-function

abstract:
  After showing how to prove the integrated c-theorem within the functional RG
framework based on the effective average action, we derive an exact RG flow
equation for Zamolodchikov's c-function in two dimensions by relating it to the
flow of the effective average action. In order to obtain a non-trivial flow for
the c-function, we will need to understand the general form of the effective
average action away from criticality, where nonlocal invariants, with beta
functions as coefficients, must be included in the ansatz to be consistent. We
then apply our construction to several examples: exact results, local potential
approximation and loop expansion. In each case we construct the relative
approximate c-function and find it to be consistent with Zamolodchikov's
c-theorem. Finally, we present a relation between the c-function and the
(matter induced) beta function of Newton's constant, allowing us to use heat
kernel techniques to compute the RG running of the c-function.


title:
Amenable minimal Cantor systems of free groups arising from diagonal
  actions

abstract:
  We study amenable minimal Cantor systems of free groups arising from the
diagonal actions of the boundary actions and certain Cantor systems. It is
shown that every virtually free group admits continuously many amenable minimal
Cantor systems whose crossed products are mutually non-isomorphic Kirchberg
algebras in the UCT class (with explicitly determined K-theory). The technique
developed in our study also enables us to compute the K-theory of certain
amenable minimal Cantor systems. We apply it to the diagonal actions of the
boundary actions and the products of the odometer transformations, and
determine their K-theory. Then we classify them in terms of the topological
full groups, continuous orbit equivalence, strong orbit equivalence, and the
crossed products.


title: The width of a chaotic layer

abstract:
  A model of nonlinear resonance as a periodically perturbed pendulum is
considered, and a new method of analytical estimating the width of a chaotic
layer near the separatrices of the resonance is derived for the case of slow
perturbation (the case of adiabatic chaos). The method turns out to be
successful not only in the case of adiabatic chaos, but in the case of
intermediate perturbation frequencies as well.


title:
New general integral inequalities for Lipschitzian functions via
  Hadamard fractional integrals

abstract:
  In this paper, the author obtains new estimates on generalization of
Hadamard, Ostrowski and Simpson type inequalities for Lipschitzian functions
via Hadamard fractional integrals. Some applications to special means of
positive reals numbers are also given.


title:
Investigation of the influence of temperature on the conductive
  properties of copolymer PVC -PolyAcetylene films

abstract:
  The temperature dependence of conductivity of partially dehydrochlorinated
PVC films, containing in their macromolecules chains of polyene-conjugated
bonds (PCB) and representing copolymer PVC-Polyacetylene. In samples with
excess of some "threshold" concentration of PCB with increasing temperature it
was found conductivity switching on 10 -11 orders of magnitude. Instability of
states with high conductivity in the temperature range which depends on the
concentration of PCB was detected. Qualitatively, the increase of concentration
of PCB was monitored by fixing the fluorescent and absorption spectra.


title:
Symbolic computation of the Birkhoff normal form in the problem of
  stability of the triangular libration points

abstract:
  The problem of stability of the triangular libration points in the planar
circular restricted three-body problem is considered. A software package,
intended for normalization of autonomous Hamiltonian systems by means of
computer algebra, is designed so that normalization problems of high analytical
complexity could be solved. It is used to obtain the Birkhoff normal form of
the Hamiltonian in the given problem. The normalization is carried out up to
the 6th order of expansion of the Hamiltonian in the coordinates and momenta.
Analytical expressions for the coefficients of the normal form of the 6th order
are derived. Though intermediary expressions occupy gigabytes of the computer
memory, the obtained coefficients of the normal form are compact enough for
presentation in typographic format. The analogue of the Deprit formula for the
stability criterion is derived in the 6th order of normalization. The obtained
floating-point numerical values for the normal form coefficients and the
stability criterion confirm the results by Markeev (1969) and Coppola and Rand
(1989), while the obtained analytical and exact numeric expressions confirm the
results by Meyer and Schmidt (1986) and Schmidt (1989). The given computational
problem is solved without constructing a specialized algebraic processor, i.e.,
the designed computer algebra package has a broad field of applicability.


title:
Hermite-Hadamard type inequalities for harmonically convex functions via
  fractional integrals

abstract:
  In this paper, the author established Hermite-Hadamard's inequalities for
harmonically convex functions via fractional integrals and obtained some
Hermite-Hadamard type inequalities of these classes of functions.


title:
Quantum fluctuation theorems and generalized measurements during the
  force protocol

abstract:
  Generalized measurements of an observable performed on a quantum system
during a force protocol are investigated and conditions that guarantee the
validity of the Jarzynski equality and the Crooks relation are formulated. In
agreement with previous studies by Campisi {\it et al.} [M. Campisi, P.
Talkner, and P. H\"anggi, Phys. Rev. Lett. {\bf 105}, 140601 (2010); Phys. Rev.
E {\bf 83}, 041114 (2011)], we find that these fluctuation relations are
satisfied for projective measurements; however, for generalized measurements
special conditions on the operators determining the measurements need to be
met. For the Jarzynski equality to hold, the measurement operators of the
forward protocol must be normalized in a particular way. The Crooks relation
additionally entails that the backward and forward measurement operators depend
on each other. Yet, quite some freedom is left as to how the two sets of
operators are interrelated. This ambiguity is removed if one considers
selective measurements, which are specified by a {\it joint} probability
density function of work and measurement results of the considered observable.
We find that the respective forward and backward joint probabilities satisfy
the Crooks relation only if the measurement operators of the forward and
backward protocols are the time-reversed adjoints of each other. In this case,
the work probability density function {\it conditioned} on the measurement
result satisfies a modified Crooks relation. The modification appears as a
protocol-dependent factor that can be expressed by the information gained by
the measurements during the forward and backward protocols. Finally, detailed
fluctuation theorems with an arbitrary number of intervening measurements are
obtained.


title:
On the distribution of zeros of the Hermite-Pade polynomials for three
  algebraic functions $1,f,f^2$ and the global topology of the Stokes lines for
  some differential equations of the third order

abstract:
  The paper presents some heuristic results about the distribution of zeros of
Hermite-Pade polynomials of first kind for the case of three functions
$1,f,f^2$, where $f$ has the form $f(z): = \prod\limits_ {j = 1 } ^3 (z-a_j) ^
{\alpha_j} $, $\alpha_j \in \mathbb C\setminus \mathbb Z $, $ \sum \limits_ {j
= 1 } ^ 3 \alpha_j = 0 $, $ f (\infty) = 1 $. Answers are given in terms
related to the problem of extreme minimum capacity of a plane Nuttall
condenser, two plates of which intersect ("hooked" for each other) in a five
points: the branch points $ a_1, a_2, a_3 $ of function $ f $, at $ v_1 = v $,
where $ v = v (a_1, a_2, a_3) $ the Chebotarev point corresponding to triple
points $ a_1, a_2, a_3 $, and another "unknown" at $ v_2 \neq v_1, a_1, a_2,
a_3 $ (see Fig1-Fig3).
  The connection between the distribution of zeros of Hermite-Pade polynomials
and global topology of the Stokes lines and the asymptotic behavior of
Liouville-Green solutions of a class of homogeneous linear differential
equations of the third order containing a large parameter is the free term is
established.
  The basic idea of the new and still heuristic approach is to reduce at first
some theoretical potential vector equilibrium problem to the scalar problem
with the external field, and then use the general method of Gonchar-Rakhmanov
developed in 1987 for solving the Varga problem "about $ 1/9 $".
  It is supposed that in the general case of an arbitrary algebraic function $
f $ it is imposible to constract the Nuttall condenser for a set of three
functions $ 1, f, f ^ 2 $ without the knowledge of the structure of the Stahl
compact for function $ f $. Namely, the Nuttall condenser is constructed using
Green's function $ g_ {D} (z, \infty) $ for the Stahl domain $ D $ and "core"
of Stahl compact, which consists of "effective" branch points of $ f $ and
corresponding Chebotarev points.


title:
An effective-field theory study of hexagonal Ising nanowire: Thermal and
  magnetic properties

abstract:
  By means of the effective-field theory (EFT) with correlations, the
thermodynamic and magnetic quantities such as magnetization, susceptibility,
internal energy, free energy, hysteresis curves and compensation behaviors of
the spin-1/2 hexagonal Ising nanowire (HIN) system with core/shell structure
have been presented. The hysteresis curves are obtained for different values of
the system parameters on both ferromagnetic and antiferromagnetic case. It has
been shown that the system only undergoes a second-order phase transition.
Moreover, from the thermal variations of the total magnetization, the five
compensation types can be found under certain conditions, namely the Q-, R-,
S-, P-, and N-types.


title:
Symmetrical laws of structure of helicoidally-like biopolymers in the
  framework of algebraic topology. IV. Topological stability of alpha helix and
  DNA structures

abstract:
  The structural parameters of alpha helix and some forms of DNA-structures are
determined by methods of algebraic topology. These structures are locally
periodic and correspond to the bifurcation point for minimal surfaces given by
Weierstrass representation. The index of an unstable surface equals zero for
them. As predicted by a theory of catastrophes, formation of such structures
corresponds to lifting of configurational degeneration. Formation turns by
half- turns from different helices in the implementation of double-structure as
a single system, may indicate a kind of local crossing-over between motherboard
and paternal helices (at least for some part of the helix). The role of the
exchange have yet to understand given the impossibility of exchange between
different turns spirals going counter rotating and shifted axis.


title: Flat Higgs Potential from Planck Scale Supersymmetry Breaking

abstract:
  The observed Higgs boson mass poses a new puzzle in addition to the
longstanding problem of the origin of the electroweak scale; the shallowness of
the Higgs potential. The Higgs quartic coupling even seems to vanish at around
the Planck scale within the uncertainties of the top quark mass and the strong
gauge coupling. We show that the shallowness of the Higgs potential might be an
outcome of supersymmetry breaking at around the Planck scale. There, the
electroweak fine-tuning in the Higgs quadratic terms leads to an almost
vanishing quartic coupling at around the Planck scale.


title:
Survival probability of an edge Majorana in a 1-D p-wave superconducting
  chain under sudden quenching of parameters

abstract:
  We consider the temporal evolution of a zero energy edge Majorana of a
spinless $p$-wave superconducting chain following a sudden change of a
parameter of the Hamiltonian. Starting from one of the topological phases that
has an edge Majorana, the system is suddenly driven to the other topological
phase or to the (topologically) trivial phases and also to the quantum critical
points (QCPs) separating these phases. The survival probability of the initial
edge Majorana as a function of time is studied following the quench.
Interestingly when the chain is quenched to the QCP, we find a nearly perfect
oscillations of the survival probability, indicating that the Majorana travels
back and forth between two ends, with a time period that scales with the system
size. We also generalize to the situation when there is a next-nearest-neighbor
hopping in superconducting chain and there resulting in a pair of edge Majorana
at the each end of the chain in the topological phase. We show that the
frequency of oscillation of the survival probability gets doubled in this case.
We also perform an instantaneous quenching the Hamiltonian (with two Majorana
modes at each end of the chain) to an another Hamiltonian which has only one
Majorana mode in equilibrium; the MSP shows oscillations as a function of time
with a noticeable decay in the amplitude. On the other hand for a quenching
which is reverse to the previous one, the MSP decays rapidly and stays close to
zero with fluctuations in amplitude.


title:
Majorana mode in vortex core of Bi2Te3/NbSe2 topological
  insulator-superconductor heterostructure

abstract:
  Majorana fermions have been intensively studied in recent years for their
importance to both fundamental science and potential applications in
topological quantum computing1,2. Majorana fermions are predicted to exist in a
vortex core of superconducting topological insulators3. However, they are
extremely difficult to be distinguished experimentally from other quasiparticle
states for the tiny energy difference between Majorana fermions and these
states, which is beyond the energy resolution of most available techniques.
Here, we overcome the problem by systematically investigating the spatial
profile of the Majorana mode and the bound quasiparticle states within a vortex
in Bi2Te3/NbSe2. While the zero bias peak in local conductance splits right off
the vortex center in conventional superconductors, it splits off at a finite
distance ~20nm away from the vortex center in Bi2Te3/NbSe2, primarily due to
the Majorana fermion zero mode. While the Majorana mode is destroyed by
reducing the distance between vortices, the zero bias peak splits as a
conventional superconductor again. This work provides strong evidences of
Majorana fermions and also suggests a possible route to manipulating them.


title:
The shrinking human protein coding complement: are there now fewer than
  20,000 genes?

abstract:
  Determining the full complement of protein-coding genes is a key goal of
genome annotation. The most powerful approach for confirming protein coding
potential is the detection of cellular protein expression through peptide mass
spectrometry experiments. Here we map the peptides detected in 7 large-scale
proteomics studies to almost 60% of the protein coding genes in the GENCODE
annotation the human genome. We find that conservation across vertebrate
species and the age of the gene family are key indicators of whether a peptide
will be detected in proteomics experiments. We find peptides for most highly
conserved genes and for practically all genes that evolved before bilateria. At
the same time there is almost no evidence of protein expression for genes that
have appeared since primates, or for genes that do not have any protein-like
features or cross-species conservation. We identify 19 non-protein-like
features such as weak conservation, no protein features or ambiguous
annotations in major databases that are indicators of low peptide detection
rates. We use these features to describe a set of 2,001 genes that are
potentially non-coding, and show that many of these genes behave more like
non-coding genes than protein-coding genes. We detect peptides for just 3% of
these genes. We suggest that many of these 2,001 genes do not code for proteins
under normal circumstances and that they should not be included in the human
protein coding gene catalogue. These potential non-coding genes will be revised
as part of the ongoing human genome annotation effort.


title:
Interacting thin shells in the interior of a Reissner-Nordstrom black
  hole

abstract:
  In this paper we consider some applications of the extended
Dray-t'Hooft-Redmount relation. In particular, using this relation, we study
geometries of interacting thin shells near the future Cauchy horizon of a
Reissner-Nordstrom black hole.


title:
Isotope effect in acetylene C$_2$H$_2$ and C$_2$D$_2$ rotations on
  Cu(001)

abstract:
  A comprehensive analysis of the elementary processes behind the scanning
tunneling microscope controlled rotation of C$_2$H$_2$ and C$_2$D$_2$,
isotopologues of a single acetylene molecule adsorbed on the Cu(001) surface is
given, with a focus on the isotope effects. With the help of density-functional
theory we calculate the vibrational modes of C$_2$H$_2$ and C$_2$D$_2$ on
Cu(001) and estimate the anharmonic couplings between them, using a simple
strings-on-rods model. The probability of the elementary processes --
non-linear and combination band -- are estimated using the Keldysh diagram
technique. This allows us to clarify the main peculiarities and the isotope
effects of the C$_2$H$_2$ and C$_2$D$_2$ on Cu(001) rotation, discovered in the
pioneering work [Stipe et al., Phys. Rev. Lett. 81, 1263 (1998)], which have
not been previously understood.


title:
Nucleon structure functions at small $x$ via the Pomeron exchange in AdS
  space with a soft infrared wall

abstract:
  We present analyses on nucleon structure functions at the small Bjorken-$x$
in the framework of holographic QCD. In this study, we improve the description
of the target nucleon in the current setup of the holographic model by
introducing a soft-wall AdS/QCD model, in which the AdS geometry is smoothly
cut off at IR. Combining the improved Pomeron-nucleon coupling and the wave
function of the 5D U(1) vector field with the BPST Pomeron exchange kernel,
then we obtain the structure functions. Here we focus on the nonperturbative
kinematical region, where $10^{-6} \leq x \leq 10^{-2}$ and $0.1 \leq Q^2 \leq
10$ [GeV$^2$], and show that our calculations for $F_2^p$ and $F_L^p$ are
consistent with experimental data of the deep inelastic scattering at HERA.
Furthermore, we find that the resulting longitudinal-to-transverse ratio of the
structure functions, $F_L^p/F_T^p$, depends on both of $x$ and $Q^2$.


title: A curious formula related to the Euler Gamma function

abstract:
  In this note, we prove that for all $x \in (0 , 1)$, we have: $$
\log\Gamma(x) = \frac{1}{2} \log\pi + \pi \boldsymbol{\eta} \left(\frac{1}{2} -
x\right) - \frac{1}{2} \log\sin(\pi x) + \frac{1}{\pi} \sum_{n = 1}^{\infty}
\frac{\log n}{n} \sin(2 \pi n x) , $$ where $\Gamma$ denotes the Euler Gamma
function and $$ \boldsymbol{\eta} := 2 \int_{0}^{1} \log\Gamma(x) \cdot \sin(2
\pi x) \, d x = 0.7687478924\dots $$


title: On the Faddeev gravity on the piecewise flat manifold

abstract:
  We study the Faddeev formulation of gravity in which the metric is composed
of vector fields. This system is reducible with the help of the equations of
motion to the general relativity. The Faddeev action is evaluated for the
piecewise flat ansatz for these fields when the metric corresponds to the flat
interior of the 4-simplices of the general simplicial complex. Thereby an
analogue of the Regge action in the usual general relativity is obtained. A
peculiar feature of the Faddeev gravity is finiteness of the action on the
discontinuous fields, and this means possibility of the complete independence
of the fields in the different 4-simplices or incoincidence of the 4-simplices
on their common faces. The earlier introduced analogue of the Barbero-Immirzi
parameter for the Faddeev gravity is taken into account. There is some freedom
in defining the Faddeev action on the piecewise flat manifold, and the task is
set to make use of this freedom to ensure that this discrete system be
reducible with the help of the {\it discrete} equations of motion to the
analogous discrete general relativity (Regge calculus).


title:
Affine pavings for moduli spaces of pure sheaves on $\mathbb{P}^2$ with
  degree $\leq 5$

abstract:
  Let $M(d,r)$ be the moduli space of semistable sheaves of rank 0, Euler
characteristic $r$ and first Chern class $dH (d>0)$, with $H$ the hyperplane
class in $\mathbb{P}^2$. By previous work, we gave an explicit description of
the class $[M(d,r)]$ of $M(d,r)$ in the Grothendieck ring of varieties for
$d\leq 5$ and $g.c.d(d,r)=1$. In this paper we compute the fixed locus of
$M(d,r)$ under some $(\mathbb{C}^{*})^2$-action and show that $M(d,r)$ admits
an affine paving for $d\leq 5$ and $g.c.d(d,r)=1$. We also pose a conjecture
that for any $d$ and $r$ coprime to $d$, $M(d,r)$ would admit an affine paving.


title:
The Development of Educational Quality Administration: a Case of
  Technical College in Southern Thailand

abstract:
  The purpose of this research were: to survey the needs of using the
information system for educational quality administration; to develop
Information System for Educational quality Administration (ISEs) in accordance
with quality assessment standard; to study the qualification of ISEs; and to
study satisfaction level of ISEs user. Subsequently, the tools of study have
been employed that there were the collection of 47 questionnaires and 5
interviews to specialist by responsible officers for Information center of
Technical colleges in Southern Thailand. The analysis of quantitative data has
employed descriptive statistics using mean and standard deviation as the tool
of measurement.


title: Superconducting and Anti-Ferromagnetic Phases of Spacetime

abstract:
  A correspondence between the $SO(5)$ theory of High-T${}_C$ superconductivity
and antiferromagnetism, put forward by Zhang and collaborators, and a theory of
gravity arising from symmetry breaking of a $SO(5)$ gauge field is presented. A
physical correspondence between the order parameters of the unified SC/AF
theory and the generators of the gravitational gauge connection is conjectured.
A preliminary identification of regions of geometry, in solutions of Einstein's
equations describing charged-rotating black holes embedded in deSitter
spacetime, with SC and AF phases is carried out.


title:
Nucleon-to-pion transition distribution amplitudes: a challenge for
  PANDA

abstract:
  Baryon-to-meson Transition Distribution Amplitudes (TDAs) appear as building
blocks in the collinear factorized description of amplitudes for a class of
hard exclusive reactions, prominent examples being hard exclusive pion
electroproduction off a nucleon in the backward region and baryon-antibaryon
annihilation into a pion and a lepton pair or a charmonium. Baryon-to-meson
TDAs extend both the concepts of generalized parton distributions (GPDs) and
baryon distribution amplitudes (DAs) encoding valuable complementary
information on the hadronic structure. We review the basic properties of
baryon-to-meson TDAs and discuss the perspectives for the experimental access
with the PANDA detector.


title:
Structural determination and electronic properties of 4d perovskite
  SrPdO3

abstract:
  The structure and ground state electronic structure of the recently
synthesized SrPdO$_3$ perovskite [A. Galal {\em et al.}, J. Power Sources, {\bf
195}, 3806 (2010)] have been studied by means of screened hybrid functional and
the GW approximation with the inclusion of electron-hole interaction within the
test-charge/test-charge scheme. By conducting a structural search based on
lattice dynamics and group theoretical method we identify the orthorhombic
phase with $P_{nma}$ space group as the most stable crystal structure. The
phase transition from the ideal cubic perovskite structure to the $P_{nma}$ one
is explained in terms of the simultaneous stabilization of the
antiferrodistortive phonon modes $R_4^+$ and $M_3^+$. Our results indicate that
SrPdO$_3$ exhibits an insulating ground state, substantiated by a GW$_0$ gap of
about 1.1 eV. Spin polarized calculations suggests that SrPdO$_3$ adopts a low
spin state
($t_{2g}^{\uparrow\downarrow\uparrow\downarrow\uparrow\downarrow}e_g^0$), and
is expected to exhibit spin excitations and spin state crossovers at finite
temperature, analogous to the case of 3$d$ isoelectronic LaCoO$_3$. This would
provide a new playground for the study of spin state transitions in 4$d$ oxides
and new opportunity to design multifunctional materials based on 4$d$ $P_{nma}$
building block.


title: BICEP2 constrains Composite Inflation

abstract:
  In light of BICEP2, we reexamine single field inflationary models in which
the inflaton is a composite state stemming from various four-dimensional
strongly coupled theories. We study in the Einstein frame a set of cosmological
parameters, the primordial spectral index $n_{s}$ and tensor-to-scalar ratio
$r$, predicted by such models. We confront the predicted results with the joint
Planck data, and with the recent BICEP2 data. We constrain the number of
e-foldings for composite models of inflation in order to obtain a successful
inflation. We find the minimal composite inflationary model is fully consistent
with the Planck data. However it is in tension with the recent BICEP2 data. The
observables predicted by the glueball inflationary model can be consistent with
both Planck and BICEP2 contours if a suitable number of e-foldings are chosen.
Surprisingly, the super Yang-Mills inflationary prediction is significantly
consistent with the Planck and BICEP2 observations.


title:
The Application of Data Mining to Build Classification Model for
  Predicting Graduate Employment

abstract:
  Data mining has been applied in various areas because of its ability to
rapidly analyze vast amounts of data. This study is to build the Graduates
Employment Model using classification task in data mining, and to compare
several of data-mining approaches such as Bayesian method and the Tree method.
The Bayesian method includes 5 algorithms, including AODE, BayesNet, HNB,
NaviveBayes, WAODE. The Tree method includes 5 algorithms, including BFTree,
NBTree, REPTree, ID3, C4.5. The experiment uses a classification task in WEKA,
and we compare the results of each algorithm, where several classification
models were generated. To validate the generated model, the experiments were
conducted using real data collected from graduate profile at the Maejo
University in Thailand. The model is intended to be used for predicting whether
a graduate was employed, unemployed, or in an undetermined situation.


title:
Effective synchronization of a class of Chua's chaotic systems using an
  exponential feedback coupling

abstract:
  In this work a robust exponential function based controller is designed to
synchronize effectively a given class of Chua's chaotic systems. The stability
of the drive-response systems framework is proved through the Lyapunov
stability theory. Computer simulations are given to illustrate and verify the
method.


title: Electron transport signature of H$_2$ dissociation on atomic gold wires

abstract:
  Non-equilibrium Green's functions calculations based on density functional
theory show a direct link between the initial stages of H$_2$ dissociation on a
gold atomic wire and the electronic current supported by the gold wire. The
simulations reveal that for biases below the stability threshold of the wire,
the minimum-energy path for H$_2$ dissociation is not affected. However, the
electronic current presents a dramatic drop when the molecule initiates its
dissociation. This current drop is traced back to quantum interference between
electron paths when the molecule starts interacting with the gold wire.


title:
Link Quality and MAC-Overhead aware Predictive Preemptive Routing
  Protocol for Mobile Ad hoc Network

abstract:
  In Ad Hoc networks, route failure may occur due to less received power,
mobility, congestion and node failures. Many approaches have been proposed in
literature to solve this problem, where a node predicts pre-emptively the route
failure that occurs with the less received power. However, this approach
encounters some difficulties, especially in scenario without mobility where
route failures may arise. In this paper, we propose an improvement of AODV
protocol called LO-PPAODV (Link Quality and MAC-Overhead aware Predictive
Preemptive AODV). This protocol is based on new metric combine more routing
metrics (Link Quality, MAC Overhead) between each node and one hop neighbor.
Also we propose a cross-layer networking mechanism to distinguish between both
situations, failures due to congestion or mobility, and consequently avoiding
unnecessary route repair process. The LO-PPAODV was implemented using NS-2. The
simulation results show that our approach improves the overall performance of
the network. It reduces the average end to end delay, the routing overhead, MAC
errors and route errors, and increases the packet delivery fraction of the
network.


title: Prediction of a quantum anomalous Hall state in Co decorated silicene

abstract:
  Based on first-principles calculations, we demonstrate that Co decorated
silicene can host a quantum anomalous Hall state. The exchange field induced by
the Co atoms combined with the strong spin orbit coupling of the silicene opens
a nontrivial band gap at the K-point. As compared to other transition metals,
Co decorated silicene is unique in this respect, since usually hybridization
and spin-polarization induced in the silicene suppress a quantum anomalous Hall
state.


title: Searching the Internet for evidence of time travelers

abstract:
  Time travel has captured the public imagination for much of the past century,
but little has been done to actually search for time travelers. Here, three
implementations of Internet searches for time travelers are described, all
seeking a prescient mention of information not previously available. The first
search covered prescient content placed on the Internet, highlighted by a
comprehensive search for specific terms in tweets on Twitter. The second search
examined prescient inquiries submitted to a search engine, highlighted by a
comprehensive search for specific search terms submitted to a popular astronomy
web site. The third search involved a request for a direct Internet
communication, either by email or tweet, pre-dating to the time of the inquiry.
Given practical verifiability concerns, only time travelers from the future
were investigated. No time travelers were discovered. Although these negative
results do not disprove time travel, given the great reach of the Internet,
this search is perhaps the most comprehensive to date.


title: On the Probability of Conjunctions of Stationary Gaussian Processes

abstract:
  Let $\{X_i(t),t\ge0\}, 1\le i\le n$ be independent centered stationary
Gaussian processes with unit variance and almost surely continuous sample
paths. For given positive constants $u,T$, define the set of conjunctions
$C_{[0,T],u}:=\{t\in [0,T]: \min_{1 \le i \le n} X_i(t) \ge u\}.$ Motivated by
some applications in brain mapping and digital communication systems, we obtain
exact asymptotic expansion of $ P(C_{[0,T],u} \not=\varphi)$ as $u\to\infty$.
Moreover, we establish the Berman sojourn limit theorem for the random process
$\{\min_{1 \le i \le n} X_i(t), t\ge0\}$ and derive the tail asymptotics of the
supremum of each order statistics process.


title: Where is magnetic anisotropy field pointing to?

abstract:
  The desired result of magnetic anisotropy investigations is the determination
of value(s) of various anisotropy constant(s). This is sometimes difficult,
especially when the precise knowledge of saturation magnetization is required,
as it happens in ferromagnetic resonance (FMR) studies. In such cases we
usually resort to `trick' and fit our experimental data to the quantity called
\emph{anisotropy field}, which is strictly proportional to the ratio of the
searched anisotropy constant and saturation magnetization. Yet, this quantity
is scalar, simply a number, and is therefore of little value for modeling or
simulations of the magnetostatic or micromagnetic structures. Here we show how
to `translate' the values of magnetic anisotropy constants into the complete
vector of magnetic anisotropy field. Our derivation is rigorous and covers the
most often encountered cases, from uniaxial to cubic anisotropy.


title: Digital Electronics for the Pierre Auger Observatory AMIGA Muon Counters

abstract:
  The "Auger Muons and Infill for the Ground Array" (AMIGA) project provides
direct muon counting capacity to the Pierre Auger Observatory and extends its
energy detection range down to 0.3 EeV. It currently consists of 61 detector
pairs (a Cherenkov surface detector and a buried muon counter) distributed over
a 23.5 km2 area on a 750 m triangular grid. Each counter relies on segmented
scintillator modules storing a logical train of '0's and '1's on each
scintillator segment at a given time slot. Muon counter data is sampled and
stored at 320 MHz allowing both the detection of single photoelectrons and the
implementation of an offline trigger designed to mitigate multi-pixel PMT
crosstalk and dark rate undesired effects. Acquisition is carried out by the
digital electronics built around a low power Cyclone III FPGA. This paper
presents the digital electronics design, internal and external synchronization
schemes, hardware tests, and first results from the Observatory.


title: Random Scaling of Gumbel Risks

abstract:
  In this paper we consider the product of two positive independent risks $Y_1$
and $Y_2$. If $Y_1$ is bounded and $Y_2$ has distribution in the Gumbel
max-domain of attraction with some auxiliary function which is regularly
varying at infinity, then we show that $Y_1Y_2$ has also distribution in the
Gumbel max-domain of attraction. Additionally, if both $Y_1,Y_2$ have
log-Weibullian or Weibullian tail behavior, we show that $Y_1Y_2$ has
log-Weibullian or Weibullian asymptotic tail behavior, respectively. We present
two applications of our results.


title: Effect of cohesion on shear banding in quasi-static granular material

abstract:
  It is widely recognized in particle technology that adhesive powders show a
wide range of different bulk behavior due to the peculiarity of the particle
interaction. We use Discrete Element simulations to investigate the effect of
contact cohesion on the steady state of dense powders in a slowly sheared
split-bottom Couette cell, which imposes a wide stable shear band. The
intensity of cohesive forces can be quantified by the {\em granular Bond
number} ($Bo$), namely the ratio between maximum attractive force and average
force due to external compression. We find that the shear banding phenomenon is
almost independent of cohesion for Bond numbers $Bo<1$, but for $Bo \ge 1$
cohesive forces start to play an important role, as both width and center
position of the band increase for $Bo > 1$. Inside the shear band, the mean
normal contact force is always independent of cohesion and depends only on the
confining stress. In contrast, when the behavior is analyzed focusing on the
eigen-directions of the local strain rate tensor, a dependence on cohesion
shows up. Forces carried by contacts along the compressive and tensile
directions are symmetric about the mean force (larger and smaller
respectively), while the force along the third, neutral direction follows the
mean force. This anisotropy of the force network increases with cohesion, just
like the heterogeneity in all (compressive, tensile and neutral) directions.


title: Nonextensive thermodynamics for hadrons with finite chemical potentials

abstract:
  The non extensive thermodynamics of an ideal gas composed by bosons and/or
fermions is derived from its partition function for systems with finite
chemical potentials. It is shown that the thermodynamical quantities derived in
the present work are in agreement with those obtained in previous works when
$\mu \le m$. However some inconsistencies of previous references are corrected
when $\mu > m$. A discontinuity in the first derivatives of the partition
function and its effects are discussed in detail. We show that at similar
conditions, the non extensive statistics provide a harder equation of state
than that provided by the Boltzmann-Gibbs statistics.


title:
Multihop Backhaul Compression for the Uplink of Cloud Radio Access
  Networks

abstract:
  In cloud radio access networks (C-RANs), the baseband processing of the radio
units (RUs) is migrated to remote control units (CUs). This is made possible by
a network of backhaul links that connects RUs and CUs and that carries
compressed baseband signals. While prior work has focused mostly on single-hop
backhaul networks, this paper investigates efficient backhaul compression
strategies for the uplink of C-RANs with a general multihop backhaul topology.
A baseline multiplex-and-forward (MF) scheme is first studied in which each RU
forwards the bit streams received from the connected RUs without any
processing. It is observed that this strategy may cause significant performance
degradation in the presence of a dense deployment of RUs with a well connected
backhaul network. To obviate this problem, a scheme is proposed in which each
RU decompresses the received bit streams and performs linear in-network
processing of the decompressed signals. For both the MF and the
decompress-process-and-recompress (DPR) backhaul schemes, the optimal design is
addressed with the aim of maximizing the sum-rate under the backhaul capacity
constraints. Recognizing the significant demands of the optimal solution of the
DPR scheme in terms of channel state information (CSI) at the RUs,
decentralized optimization algorithms are proposed under the assumption of
limited CSI at the RUs. Numerical results are provided to compare the
performance of the MF and DPR schemes, highlighting the potential advantage of
in-network processing and the impact of CSI limitations.


title:
Estimates $ L^{r}-L^{s}$ for solutions of the $\bar \partial $ equation
  in strictly pseudo convex domains in ${\mathbb{C}}^{n}.$

abstract:
  We prove estimates for solutions of the $\bar \partial u=\omega $ equation in
a strictly pseudo convex domain $ \Omega $ in ${\mathbb{C}}^{n}.$ For instance
if the $ (p,q)$ current $\omega $ has its coefficients in $L^{r}(\Omega )$ with
$1\leq r<2(n+1)$ then there is a solution $u$ in $L^{s}(\Omega )$ with $\
\frac{1}{s}=\frac{1}{r}-\frac{1}{2(n+1)}.$ We also have $BMO$ and Lipschitz
estimates for $r\geq 2(n+1).$ These results were already done by S. Krantz in
the case of $(0,1)$ forms and just for the $L^{r}-L^{s}$ part by L. Ma and S.
Vassiliadou for general $(p,q)$ forms. To get the complete result we propose
another approach, based on Carleson measures of order $\alpha $ and on the
subordination lemma.


title: A Beam Theory Consistent with Three-Dimensional Thermo-Elasticity

abstract:
  We propose a model for thermo-elastic beams, consistent with the theory of
linear three-dimensional thermo-elasticity and deduced by a suitable version of
the Principle of Virtual Powers. Dimensional reduction is achieved by
postulating convenient \textit{a priori} representations for mechanical and
thermal displacements, the latter playing the role of an additional kinetic
variable. Such representations are regarded as internal constraints, some
involving the first, others the second gradient of deformation and thermal
displacements; these constraints are maintained by reactive stresses and
hyper-stresses of the type occurring in non-simple elastic materials of grade
two, and by reactive entropy influxes and hyper-influxes.


title: Self-assembled tunable photonic hyper-crystals

abstract:
  We demonstrate a novel artificial optical material, a photonic hyper-crystal,
which combines the most interesting features of hyperbolic metamaterials and
photonic crystals. Similar to hyperbolic metamaterials, photonic hyper-crystals
exhibit broadband divergence in their photonic density of states due to the
lack of usual diffraction limit on the photon wave vector. On the other hand,
similar to photonic crystals, hyperbolic dispersion law of extraordinary
photons is modulated by forbidden gaps near the boundaries of photonic
Brillouin zones. Three dimensional self-assembly of photonic hyper-crystals has
been achieved by application of external magnetic field to a cobalt
nanoparticle-based ferrofluid. Unique spectral properties of photonic
hyper-crystals lead to extreme sensitivity of the material to monolayer
coatings of cobalt nanoparticles, which should find numerous applications in
biological and chemical sensing.


title: A Note on the Modes of the Poisson Distribution of Order k

abstract:
  It is shown that for any positive integer k and positive parameter lambda
less than 2/k(k+1), the Poisson distribution of order k with parameter lambda
has a unique mode, 0. In addition, the Poisson distribution of order 2 has a
unique mode, 0, if lambda is less than -1 plus the square root of 3. It has two
modes, 0 and 2, if lambda is equal to -1 plus the square root of 3, and it has
a unique mode, 2, if lambda is greater than -1 plus the square root of 3 and
less than 1.


title: Computation of multi-leg amplitudes with NJet

abstract:
  In these proceedings we report our progress in the development of the
publicly available C++ library NJet for accurate calculations of
high-multiplicity one-loop amplitudes. As a phenomenological application we
present the first complete next-to-leading order (NLO) calculation of five jet
cross section at hadron colliders.


title:
Silicon graphene waveguide tunable broadband microwave photonics phase
  shifter

abstract:
  We propose the use of silicon graphene waveguides to implement a tunable
broadband microwave photonics phase shifte based on integrated ring cavities.
Numerical computation results show the feasibility for broadband operation over
40 GHz bandwidth and full 360 degree radiofrequency phase-shift with a modest
voltage excursion of 0.12 volt.


title:
Characterizations of GIG laws: a survey complemented with two new
  results

abstract:
  Several characterizations of the Generalized Inverse Gaussian (GIG)
distribution have been proposed in the literature, especially over the past two
decades. These characterization theorems are surveyed, and two new
characterizations are established, one based on maximum likelihood estimation
and the other is a Stein characterization.


title:
Structure and stability of hydrogenated carbon atom vacancies in
  graphene

abstract:
  Adsorption of hydrogen atoms to a carbon atom vacancy in graphene is
investigated by means of periodic \emph{first principles} calculations, up to
the fully hydrogenated state where six H atoms chemically bind to the vacancy.
Addition of a single H atom is highly exothermic and barrierless, and binding
energies remain substantial for further hydrogenation, with a preference
towards structures with the least number of geminal pairs. Thermodynamic
analysis shows that defective graphene is extremely sensitive to hydrogenation,
with the triply hydrogenated anti- structure prevailing at room temperature and
for a wide range of H$_{2}$ partial pressures, from $\sim1$ bar down to
$<10^{-20}$ bar. This structure has one unpaired electron and provides a
spin-half local magnetic moment contribution to graphene paramagnetism.
Comparison of our results with recent TEM, STM and $\mu$-SR experiments suggest
that carbon atom vacancies may actually be hydrogenated to various degrees
under varying conditions.


title: Families and moduli of covers with specified ramification

abstract:
  We study branched covers of curves with specified ramification points, under
a notion of equivalence derived from linear series. In characteristic 0, no
non-constant families of covers with fixed ramification points exist. In
positive characteristic we formulate a necessary and sufficient condition for
the existence of such a family. We unconditionally prove one direction of this
conjecture, and by studying infinitesimal deformations show the other direction
in characteristic 2 and 3.


title:
Some remarks on spatial uniformity of solutions of reaction-diffusion
  PDE's and a related synchronization problem for ODE's

abstract:
  In this note, we present a condition which guarantees spatial uniformity for
the asymptotic behavior of the solutions of a reaction-diffusion PDE with
Neumann boundary conditions in one dimension, using the Jacobian matrix of the
reaction term and the first Dirichlet eigenvalue of the Laplacian operator on
the given spatial domain. We also derive an analog of this PDE result for the
synchronization of a network of identical ODE models coupled by diffusion
terms.


title: Quantum H-theorem and irreversibility in quantum mechanics

abstract:
  We investigate temporal evolution of von Neumann's entropy in exemplary
quantum mechanical systems and show that it grows in systems evolving with
incrementally increasing decoherence during scattering processes. We
demonstrate that the origin of irreversibility lies in complexity of preparing
time-reversed quantum states due to entanglement and in partitioning of the
wave function of the evolving system.


title: Coefficients of Sylvester's Denumerant

abstract:
  For a given sequence $\mathbf{\alpha} =
[\alpha_1,\alpha_2,\dots,\alpha_{N+1}]$ of $N+1$ positive integers, we consider
the combinatorial function $E(\mathbf{\alpha})(t)$ that counts the nonnegative
integer solutions of the equation $\alpha_1x_1+\alpha_2 x_2+\cdots+\alpha_{N}
x_{N}+\alpha_{N+1}x_{N+1}=t$, where the right-hand side $t$ is a varying
nonnegative integer. It is well-known that $E(\mathbf{\alpha})(t)$ is a
quasi-polynomial function in the variable $t$ of degree $N$. In combinatorial
number theory this function is known as Sylvester's denumerant.
  Our main result is a new algorithm that, for every fixed number $k$, computes
in polynomial time the highest $k+1$ coefficients of the quasi-polynomial
$E(\mathbf{\alpha})(t)$ as step polynomials of $t$ (a simpler and more explicit
representation). Our algorithm is a consequence of a nice poset structure on
the poles of the associated rational generating function for
$E(\mathbf{\alpha})(t)$ and the geometric reinterpretation of some rational
generating functions in terms of lattice points in polyhedral cones. Our
algorithm also uses Barvinok's fundamental fast decomposition of a polyhedral
cone into unimodular cones. This paper also presents a simple algorithm to
predict the first non-constant coefficient and concludes with a report of
several computational experiments using an implementation of our algorithm in
LattE integrale. We compare it with various Maple programs for partial or full
computation of the denumerant.


title:
Circumferential gap propagation in an anisotropic elastic bacterial
  sacculus

abstract:
  We have modelled stress concentration around small gaps in anisotropic
elastic sheets, corresponding to the peptidoglycan sacculus of bacterial cells,
under loading corresponding to the effects of turgor pressure in rod-shaped
bacteria. We find that under normal conditions the stress concentration is
insufficient to mechanically rupture bacteria, even for gaps up to a micron in
length. We then explored the effects of stress-dependent smart-autolysins, as
hypothesised by Arthur L Koch [Advances in Microbial Physiology 24, 301 (1983);
Research in Microbiology 141, 529 (1990)]. We show that the measured
anisotropic elasticity of the PG sacculus can lead to stable circumferential
propagation of small gaps in the sacculus. This is consistent with the recent
observation of circumferential propagation of PG-associated MreB patches in
rod-shaped bacteria. We also find a bistable regime of both circumferential and
axial gap propagation, which agrees with behavior reported in cytoskeletal
mutants of B. subtilis. We conclude that the elastic anisotropies of a
bacterial sacculus, as characterised experimentally, may be relevant for
maintaining rod-shaped bacterial growth.


title:
Dynamic Modeling of the Interaction Between Autophagy and Apoptosis in
  Mammalian Cells

abstract:
  Autophagy is a conserved biological stress response in mammalian cells that
is responsible for clearing damaged proteins and organelles from the cytoplasm
and recycling their contents via the lysosomal pathway. In cases of mild
stress, autophagy acts as a survival mechanism, while in cases of severe stress
cells may switch to programmed cell death. Understanding the decision process
that moves a cell from autophagy to apoptosis is important since abnormal
regulation of autophagy occurs in many diseases, including cancer. To integrate
existing knowledge about this decision process into a rigorous, analytical
framework, we built a mathematical model of cell fate decisions mediated by
autophagy. Our dynamical model is consistent with existing quantitative
measurements of autophagy and apoptosis in rat kidney proximal tubular cells
responding to cisplatin-induced stress.


title: The distribution of the maximum of an ARMA(1, 1) process

abstract:
  We give the cumulative distribution function of $M_n$, the maximum of a
sequence of $n$ observations from an ARMA(1, 1) process. Solutions are first
given in terms of repeated integrals and then for the case, where the
underlying random variables are absolutely continuous. The distribution of
$M_n$ is then given as a weighted sum of the $n$th powers of the eigenvalues of
a non-symmetric Fredholm kernel. The weights are given in terms of the left and
right eigenfunctions of the kernel.
  These results are large deviations expansions for estimates, since the
maximum need not be standardized to have a limit. In fact, such a limit need
not exist.


title: Liouville numbers, Liouville sets and Liouville fields

abstract:
  Following earlier work by E.Maillet 100 years ago, we introduce the
definition of a Liouville set, which extends the definition of a Liouville
number. We also define a Liouville field, which is a field generated by a
Liouville set. Any Liouville number belongs to a Liouville set S having the
power of continuum and such that the union of S with the rational number field
is a Liouville field.


title: twister - a P2P microblogging platform

abstract:
  This paper proposes a new microblogging architecture based on peer-to-peer
networks overlays. The proposed platform is comprised of three mostly
independent overlay networks. The first provides distributed user registration
and authentication and is based on the Bitcoin protocol. The second one is a
Distributed Hash Table (DHT) overlay network providing key/value storage for
user resources and tracker location for the third network. The last network is
a collection of possibly disjoint "swarms" of followers, based on the
Bittorrent protocol, which can be used for efficient near-instant notification
delivery to many users. By leveraging from existing and proven technologies,
twister provides a new microblogging platform offering security, scalability
and privacy features. A mechanism provides incentive for entities that
contribute processing time to run the user registration network, rewarding such
entities with the privilege of sending a single unsolicited ("promoted")
message to the entire network. The number of unsolicited messages per day is
defined in order to not upset users.


title:
Stable optical spring in aLIGO detector with unbalanced arms and in
  Michelson-Sagnac interferometer

abstract:
  Optical rigidity in aLIGO gravitational-wave detector, operated on dark port
regime, is unstable. We show that the same interferometer with excluded
symmetric mechanical mode but with unbalanced arms allows to get stable optical
spring for antisymmetric mechanical mode. Arm detuning necessary to get
stability is shown to be a small one - it corresponds to small power in signal
port. We show that stable optical spring may be also obtained in
Michelson-Sagnac interferometer with both power and signal recycling mirrors
and unbalanced arms.


title: Liouville Numbers and Schanuel's Conjecture

abstract:
  In this paper, using an argument of P. Erdos, K. Alniacik and E. Saias, we
extend earlier results on Liouville numbers, due to P. Erdos, G.J. Rieger, W.
Schwarz, K. Alniacik, E. Saias, E.B. Burger. We also produce new results of
algebraic independence related with Liouville numbers and Schanuel's
Conjecture, in the framework of G delta-subsets.


title: $A_\infty$-actions and Recognition of Relative Loop Spaces

abstract:
  We show that relative loop spaces are recognized by $A_\infty$-actions. A
certain version of the 2-sided bar construction is used to prove such
recognition theorem. The operad ${\sf Act}_\infty$ of $A_\infty$-actions is
presented in terms of the Boardman-Vogt resolution of the operad ${\sf Act}$.
We exhibit an operad homotopy equivalence between such resolution and the
$1$-dimensional Swiss-cheese operad $\mathcal{SC}_1$.


title:
Field theory of disordered systems -- Avalanches of an elastic interface
  in a random medium

abstract:
  In this thesis I discuss analytical approaches to disordered systems using
field theory. Disordered systems are characterized by a random energy landscape
due to heterogeneities, which remains fixed on the time scales of the phenomena
considered. I focus specifically on elastic interfaces in random media, such as
pinned domain walls in ferromagnets containing defects, fluid contact lines on
rough surfaces, etc. The goal is to understand static properties (e.g. the
roughness) of such systems, and their dynamics in response to an external
force. The interface moves in avalanches, triggered at random points in time,
separated by long periods of quiescence. For magnetic domain walls, this
phenomenon is known as Barkhausen noise. I first study the model of a particle
in a Brownian random force landscape, applicable to high-dimensional
interfaces. Its exact solution for a monotonous, but time-varying driving force
is obtained. This allows computing the joint distribution of avalanche sizes
and durations, and their spatial and temporal shape. I then generalize these
results to a short-range correlated disorder. Using the functional
renormalization group, I compute the universal distributions of avalanche
sizes, durations, and their average shape as a function of time. The
corrections with respect to the Brownian model become important in sufficiently
low dimension (e.g. for a crack front in the fracture of a solid). I then
discuss connections to the rough phase of Kardar-Parisi-Zhang nonlinear surface
growth, and an application to the variable-range hopping model of electric
conductance in a disordered insulator.


title:
Melting of Partially Fluorinated Graphene: From Detachment of Fluorine
  Atoms to Large Defects and Random Coils

abstract:
  The melting of fluorographene is very unusual and depends strongly on the
degree of fluorination. For temperatures below 1000 K, fully fluorinated
graphene (FFG) is thermo-mechanically more stable than graphene but at
T$_m\approx$2800 K FFG transits to random coils which is almost twice lower
than the melting temperature of graphene, i.e. 5300 K. For fluorinated graphene
(PFG) up to 30 % ripples causes detachment of individual F-atoms around 2000 K
while for 40-60 % fluorination, large defects are formed beyond 1500 K and
beyond 60% of fluorination F-atoms remain bonded to graphene until melting. The
results agree with recent experiments on the dependence of the reversibility of
the fluorination process on the percentage of fluorination.


title:
openWAR: An Open Source System for Evaluating Overall Player Performance
  in Major League Baseball

abstract:
  Within baseball analytics, there is substantial interest in comprehensive
statistics intended to capture overall player performance. One such measure is
Wins Above Replacement (WAR), which aggregates the contributions of a player in
each facet of the game: hitting, pitching, baserunning, and fielding. However,
current versions of WAR depend upon proprietary data, ad hoc methodology, and
opaque calculations. We propose a competitive aggregate measure, openWAR, that
is based upon public data and methodology with greater rigor and transparency.
We discuss a principled standard for the nebulous concept of a "replacement"
player. Finally, we use simulation-based techniques to provide interval
estimates for our openWAR measure.


title: Critical percolation on mesoscopic triangulations

abstract:
  We extend Smirnov's proof of the existence and conformal invariance of the
scaling limit of critical site-percolation on the triangular lattice to
particular sequences of periodic graphs with more arbitrary large-scale
structure, obtained by piecing together triangular regions of the triangular
lattice. While not formally speaking a scaling limit statement (as the graphs
are not rescaled versions of each other), the result is a weak form of
universality for critical percolation.


title: Multiscale confining dynamics from holographic RG flows

abstract:
  We consider renormalization group flows between conformal field theories in
five (six) dimensions with a string (M-theory) dual. By compactifying on a
circle (torus) with appropriate boundary conditions, we obtain continuous
families of confining four-dimensional theories parametrized by the ratio
$\Lambda_{\rm {\tiny flow}}/\Lambda_{\rm \tiny{QCD}}$, with $\Lambda_{\rm
\tiny{flow}}$ the scale at which the flow between fixed points takes place and
$\Lambda_{\rm \tiny{QCD}}$ the confinement scale. We construct the dual
geometries explicitly and compute the spectrum of scalar bound states
(glueballs). We find a `universal' subset of states common to all the models.
We comment on the modifications of these models, and the corresponding
fine-tuning, required for a parametrically light `dilaton' state to be present.
We also comment on some aspects of these theories as probed by extended objects
such as strings and branes.


title:
Frequency comb-based microwave transfer over fiber with $7 \times
  10^{-19}$ instability using fiber-loop optical-microwave phase detectors

abstract:
  We demonstrate a remote microwave/radio-frequency (RF) transfer technique
based on the stabilization of a fiber link using a fiber-loop optical-microwave
phase detector (FLOM-PD). This method compensates for the excess phase
fluctuations introduced in fiber transfer by direct phase comparison between
the optical pulse train reflected from the remote site and the local
microwave/RF signal using the FLOM-PD. This enables sub-fs resolution and
long-term stable link stabilization while having wide timing detection range
and less demand in fiber dispersion compensation. The demonstrated relative
frequency instability between 2.856-GHz RF oscillators separated by a 2.3-km
fiber link is $7.6 \times 10^{-18}$ and $6.5 \times 10^{-19}$ at 1000 s and
82500 s averaging time, respectively.


title:
Locality preserving homogeneous Hilbert curves by use of arbitrary
  kernels

abstract:
  Homogeneous Hilbert curves (HHC) in two dimensions are generalized by
introducing the construction of the space filling curves from the same affine
transformations but using an arbitrary kernel, we call such curves HHCK. The
new curves are still space filling that comply with the nesting condition but
violates the adjacency property. The freedom of building new HHC curves with
arbitrary kernels, is only limited by the constrain that the chosen kernel must
allow a well behaved connectivity between quadrants. Two examples of such
curves are discussed.
  The important property of locality preservation in space filling curve
mapping is discussed. Besides the common used dilation factor, the paper
introduces and discuss difference map as a site locality measure, allowing to
describe locality preservation in a more detailed way than dilation factors.
The strength of such analysis is proven and global descriptors from the
difference map are derived. Locality of all HHC curves and the two discussed
HHCK curves are studied by difference map.


title: A spectral incarnation of affine character sheaves

abstract:
  We present a Langlands dual realization of the putative category of affine
character sheaves. Namely, we calculate the categorical center and trace (also
known as the Drinfeld center and trace, or categorical Hochschild cohomology
and homology) of the affine Hecke category starting from its spectral
presentation. The resulting categories comprise coherent sheaves on the
commuting stack of local systems on the two-torus satisfying prescribed support
conditions, in particular singular support conditions as appear in recent
advances in the Geometric Langlands program. The key technical tools in our
arguments are: a new descent theory for coherent sheaves or D-modules with
prescribed singular support; and the theory of integral transforms for coherent
sheaves developed in the companion paper [BNP].


title: Integral transforms for coherent sheaves

abstract:
  The theory of integral, or Fourier-Mukai, transforms between derived
categories of sheaves is a well established tool in noncommutative algebraic
geometry. General "representation theorems" identify all reasonable linear
functors between categories of perfect complexes (or their "large" version,
quasi-coherent sheaves) on schemes and stacks over some fixed base with
integral kernels in the form of sheaves (of the same nature) on the fiber
product. However, for many applications in mirror symmetry and geometric
representation theory one is interested instead in the bounded derived category
of coherent sheaves (or its "large" version, ind-coherent sheaves), which
differs from perfect complexes (and quasi-coherent sheaves) once the underlying
variety is singular. In this paper, we give general representation theorems for
linear functors between categories of coherent sheaves over a base in terms of
integral kernels on the fiber product. Namely, we identify coherent kernels
with functors taking perfect complexes to coherent sheaves, and kernels which
are coherent relative to the source with functors taking all coherent sheaves
to coherent sheaves. The proofs rely on key aspects of the "functional
analysis" of derived categories, namely the distinction between small and large
categories and its measurement using $t$-structures. These are used in
particular to correct the failure of integral transforms on Ind-coherent
sheaves to correspond to such sheaves on a fiber product. The results are
applied in a companion paper to the representation theory of the affine Hecke
category, identifying affine character sheaves with the spectral geometric
Langlands category in genus one.


title: Spatially embedded growing small-world networks

abstract:
  Networks in nature are often formed within a spatial domain in a dynamical
manner, gaining links and nodes as they develop over time. We propose a class
of spatially-based growing network models and investigate the relationship
between the resulting statistical network properties and the dimension and
topology of the space in which the networks are embedded. In particular, we
consider models in which nodes are placed one by one in random locations in
space, with each such placement followed by configuration relaxation toward
uniform node density, and connection of the new node with spatially nearby
nodes. We find that such growth processes naturally result in networks with
small-world features, including a short characteristic path length and nonzero
clustering. These properties do not appear to depend strongly on the topology
of the embedding space, but do depend strongly on its dimension;
higher-dimensional spaces result in shorter path lengths but less clustering.