title: Operators on Banach Spaces of Bourgain-Delbaen Type

abstract:
  We begin by giving a detailed exposition of the original Bourgain-Delbaen
construction and the generalised construction due to Argyros and Haydon. We
show how these two constructions are related, and as a corollary, are able to
prove that there exists some $\delta > 0$ and an uncountable set of isometries
on the original Bourgain-Delbaen spaces which are pairwise distance $\delta$
apart.
  We subsequently extend these ideas to obtain our main results. We construct
new Banach spaces of Bourgain-Delbaen type, all of which have $\ell_1$ dual.
The first class of spaces are HI and possess few, but not very few operators.
We thus have a negative solution to the Argyros-Haydon question. We remark that
all these spaces have finite dimensional Calkin algebra, and we investigate the
corollaries of this result. We also construct a space with $\ell_1$ Calkin
algebra and show that whilst this space is still of Bourgain-Delbaen type with
$\ell_1$ dual, it behaves somewhat differently to the first class of spaces.
  Finally, we briefly consider shift-invariant $\ell_1$ preduals, and hint at
how one might use the Bourgain-Delbaen construction to produce new, exotic
examples.


title: Critical Exponents of the Random Field Hierarchical Model

abstract:
  We have studied the one dimensional Dyson hierarchical model in presence of a
random field. This is a long range model where the interactions scale with the
distance with a power law-like form J(r) ~ r^{-\rho} and we can explore mean
field and non-mean field behavior by changing \rho. Thus, it can be used to
approach the phase transitions in finite-dimensional disordered models. We
studied the model at T=0 and we numerically computed its critical exponents in
the non-mean field region for Gaussian disorder. We then computed an analytic
expression for the critical exponent \delta, that holds in the non-mean field
region, and we noted an interesting relation between the critical exponents of
the disordered model and the ones of the pure model, that seems to break down
in the non-mean field region. We finally compare our results for the critical
exponents with the expected ones in D-dimensional short range models and with
the ones of the straightforward one dimensional long range model.


title: Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid

abstract:
  The model of interacting fermion systems in one dimension known as
Tomonaga-Luttinger liquid (TLL) provides a simple and exactly solvable
theoretical framework, predicting various intriguing physical properties.
Evidence of TLL has been observed as power-law behavior in the electronic
transport and momentum-resolved spectroscopy on various types of
one-dimensional (1D) conductors. However, these measurements, which rely on dc
transport involving tunneling processes, cannot identify the eigenmodes of the
TLL, i.e., collective excitations characterized by non-trivial effective charge
e* and charge velocity v*. The elementary process of charge fractionalization,
a phenomenon predicted to occur at the junction of a TLL and non-interacting
leads, has not been observed. Here we report time-resolved transport
measurements on an artificial TLL comprised of coupled integer quantum Hall
edge channels, successfully identifying single charge fractionalization
processes. An electron wave packet with charge e incident from a
non-interacting region breaks up into several fractionalized charge wave
packets at the edges of the artificial TLL region, from which e* and v* can be
directly evaluated. These results are informative for elucidating the nature of
TLLs and low-energy excitations in the edge channels.


title: Detection and Characterization of Intrinsic Symmetry

abstract:
  A comprehensive framework for detection and characterization of overlapping
intrinsic symmetry over 3D shapes is proposed. To identify prominent symmetric
regions which overlap in space and vary in form, the proposed framework is
decoupled into a Correspondence Space Voting procedure followed by a
Transformation Space Mapping procedure. In the correspondence space voting
procedure, significant symmetries are first detected by identifying surface
point pairs on the input shape that exhibit local similarity in terms of their
intrinsic geometry while simultaneously maintaining an intrinsic distance
structure at a global level. Since different point pairs can share a common
point, the detected symmetric shape regions can potentially overlap. To this
end, a global intrinsic distance-based voting technique is employed to ensure
the inclusion of only those point pairs that exhibit significant symmetry. In
the transformation space mapping procedure, the Functional Map framework is
employed to generate the final map of symmetries between point pairs. The
transformation space mapping procedure ensures the retrieval of the underlying
dense correspondence map throughout the 3D shape that follows a particular
symmetry. Additionally, the formulation of a novel cost matrix enables the
inner product to succesfully indicate the complexity of the underlying symmetry
transformation. The proposed transformation space mapping procedure is shown to
result in the formulation of a semi-metric symmetry space where each point in
the space represents a specific symmetry transformation and the distance
between points represents the complexity between the corresponding
transformations. Experimental results show that the proposed framework can
successfully process complex 3D shapes that possess rich symmetries.


title: A fast map-making preconditioner for regular scanning patterns

abstract:
  High-resolution Maximum Likelihood map-making of the Cosmic Microwave
Background is usually performed using Conjugate Gradients with a preconditioner
that ignores noise correlations. We here present a new preconditioner that
approximates the map noise covariance as circulant, and show that this results
in a speedup of up to 400% for a realistic scanning pattern from the Atacama
Cosmology Telescope. The improvement is especially large for polarized maps.


title:
Plasmodium falciparum Hop: Detailed analysis on complex formation with
  Hsp70 and Hsp90

abstract:
  The heat shock organizing protein (Hop) is important in modulating the
activity and co-interaction of two chaperones: heat shock protein 70 and 90
(Hsp70 and Hsp90). Recent research suggested that Plasmodium falciparum Hop
(PfHop), PfHsp70 and PfHsp90 form a complex in the trophozoite infective stage.
However, there has been little computational research on the malarial Hop
protein in complex with other malarial Hsps. Using in silico characterization
of the protein, this work showed that individual domains of Hop are evolving at
different rates within the protein. Differences between human Hop (HsHop) and
PfHop were identified by motif analysis. Homology modeling of PfHop and HsHop
in complex with their own cytosolic Hsp90 and Hsp70 C-terminal peptide partners
indicated excellent conservation of the Hop concave TPR sites bound to the
C-terminal motifs of partner proteins. Further, we analyzed additional binding
sites between Hop and Hsp90, and showed, for the first time, that they are
distinctly less conserved between human and malaria parasite. These sites are
located on the convex surface of Hop TPR2, and involved in interactions with
the Hsp90 middle domain. Since the convex sites are less conserved than the
concave sites, it makes their potential for malarial inhibitor design extremely
attractive (as opposed to the concave sites which have been the focus of
previous efforts).


title: Free 2-rank of symmetry of products of Milnor manifolds

abstract:
  A real Milnor manifold is the non-singular hypersurface of degree $(1,1)$ in
the product of two real projective spaces. These manifolds were introduced by
Milnor to give generators for the unoriented cobordism algebra, and they admit
free actions by elementary abelian 2-groups. In this paper, we obtain some
results on the free 2-rank of symmetry of products of finitely many real Milnor
manifolds under the assumption that the induced action on mod 2 cohomology is
trivial. Similar results are obtained for complex Milnor manifolds which are
defined analogously. Here the free 2-rank of symmetry of a topological space is
the maximal rank of an elementary abelian 2-group which acts freely on that
space.


title: On the Linearity of \omega-primality in Numerical Monoids

abstract:
  In an atomic, cancellative, commutative monoid, the \omega-value measures how
far an element is from being prime. In numerical monoids, we show that this
invariant exhibits eventual quasilinearity (i.e., periodic linearity). We apply
this result to describe the asymptotic behavior of the \omega-function for a
general numerical monoid and give an explicit formula when the monoid has
embedding dimension 2.


title: Factorization Properties of Leamer Monoids

abstract:
  The Huneke-Wiegand conjecture has prompted much recent research in
Commutative Algebra. In studying this conjecture for certain classes of rings,
Garc\'ia-S\'anchez and Leamer construct a monoid S_\Gamma^s whose elements
correspond to arithmetic sequences in a numerical monoid \Gamma of step size s.
These monoids, which we call Leamer monoids, possess a very interesting
factorization theory that is significantly different from the numerical monoids
from which they are derived. In this paper, we offer much of the foundational
theory of Leamer monoids, including an analysis of their atomic structure, and
investigate certain factorization invariants. Furthermore, when S_\Gamma^s is
an arithmetical Leamer monoid, we give an exact description of its atoms and
use this to provide explicit formulae for its Delta set and catenary degree.


title: The achievable performance of convex demixing

abstract:
  Demixing is the problem of identifying multiple structured signals from a
superimposed, undersampled, and noisy observation. This work analyzes a general
framework, based on convex optimization, for solving demixing problems. When
the constituent signals follow a generic incoherence model, this analysis leads
to precise recovery guarantees. These results admit an attractive
interpretation: each signal possesses an intrinsic degrees-of-freedom
parameter, and demixing can succeed if and only if the dimension of the
observation exceeds the total degrees of freedom present in the observation.


title:
Short GRB 130603B: Discovery of a jet break in the optical and radio
  afterglows, and a mysterious late-time X-ray excess

abstract:
  We present radio, optical/NIR, and X-ray observations of the afterglow of the
short-duration 130603B, and uncover a break in the radio and optical bands at
0.5 d after the burst, best explained as a jet break with an inferred jet
opening angle of 4-8 deg. GRB 130603B is only the third short GRB with a radio
afterglow detection to date, and the first time that a jet break is evident in
the radio band. We model the temporal evolution of the spectral energy
distribution to determine the burst explosion properties and find an
isotropic-equivalent kinetic energy of (0.6-1.7) x 10^51 erg and a circumburst
density of 5 x 10^-3-30 cm^-3. From the inferred opening angle of GRB 130603B,
we calculate beaming-corrected energies of Egamma (0.5-2) x 10^49 erg and EK
(0.1-1.6) x 10^49 erg. Along with previous measurements and lower limits we
find a median short GRB opening angle of 10 deg. Using the all-sky observed
rate of 10 Gpc^-3 yr^-1, this implies a true short GRB rate of 20 yr^-1 within
200 Mpc, the Advanced LIGO/VIRGO sensitivity range for neutron star binary
mergers. Finally, we uncover evidence for significant excess emission in the
X-ray afterglow of GRB 130603B at >1 d and conclude that the additional energy
component could be due to fall-back accretion or spin-down energy from a
magnetar formed following the merger.


title:
Exclusive Topologies reconstruction in LAr-TPC experiments: a Novel
  Approach for precise Neutrino-Nucleus Cross-Sections Measurements

abstract:
  The analysis and interpretation of the present and future neutrino
oscillation experiments strongly rely on the quantitative understanding of
neutrino and antineutrino interactions with nuclei in the "few GeV" energy
range. With the advent of the Liquid Argon Time Projection Chamber (LArTPC)
experimental techniques for neutrino detection, a novel approach and
methodology in neutrino data analysis is now being developed. Purpose of this
White Paper is to briefly illustrate this method, as based on real events
categorization into experimental exclusive topologies, rather than on MC driven
classification of the event rates in terms of interaction channel. Data
collected by the ArgoNeuT experiment in the "few-GeV" energy range are
extremely helpful to directly probe features of neutrino interactions and
associated nuclear effects in the range of interest for future long-baseline
neutrino oscillation experiments.


title: Rational singularities of $G$-saturation

abstract:
  Let $G$ be a semisimple algebraic group defined over an algebraically closed
field of characteristic 0 and $P$ be a parabolic subgroup of $G$. Let $M$ be a
$P$-module and $V$ be a $P$-stable closed subvariety of $M$. We show in this
paper that if the varieties $V$ and $G\cdot M$ have rational singularities, and
the induction functor $R^i\text{ind}_P^G(-)$ satisfies certain vanishing
condition then the variety $G\cdot V$ has rational singularities. This
generalizes the main result of Kempf in [Invent. Math., 37 (1976), no. 3]. As
an application, we prove the property of having rational singularities for
nilpotent commuting varieties over $3\times 3$ matrices.


title: Mertens's theorem for splitting primes and more

abstract:
  Myriad articles are devoted to Mertens's theorem. In yet another, we merely
wish to draw attention to a proof by Hardy, which uses a Tauberian theorem of
Landau that "leads to the conclusion in a direct and elegant manner". Hardy's
proof is also quite adaptable, and it is readily combined with well-known
results from prime number theory. We demonstrate this by proving a version of
the theorem for primes in arithmetic progressions with uniformity in the
modulus, as well as a non-abelian analogue of this.


title:
High-efficiency GHz frequency doubling without power threshold in
  thin-film Ni81Fe19

abstract:
  We demonstrate efficient second-harmonic generation at moderate input power
for thin film Ni81Fe19 undergoing ferromagnetic resonance (FMR). Powers of the
generated second-harmonic are shown to be quadratic in input power, with an
upconversion ratio three orders of magnitude higher than that demonstrated in
ferrite. The second harmonic signal generated exhibits a significantly lower
linewidth than that predicted by low-power Gilbert damping, and is excited
without threshold. Results are in good agreement with an analytic, approximate
expansion of the Landau-Lifshitz-Gilbert (LLG) equation.


title: CSIFT Based Locality-constrained Linear Coding for Image Classification

abstract:
  In the past decade, SIFT descriptor has been witnessed as one of the most
robust local invariant feature descriptors and widely used in various vision
tasks. Most traditional image classification systems depend on the
luminance-based SIFT descriptors, which only analyze the gray level variations
of the images. Misclassification may happen since their color contents are
ignored. In this article, we concentrate on improving the performance of
existing image classification algorithms by adding color information. To
achieve this purpose, different kinds of colored SIFT descriptors are
introduced and implemented. Locality-constrained Linear Coding (LLC), a
state-of-the-art sparse coding technology, is employed to construct the image
classification system for the evaluation. The real experiments are carried out
on several benchmarks. With the enhancements of color SIFT, the proposed image
classification system obtains approximate 3% improvement of classification
accuracy on the Caltech-101 dataset and approximate 4% improvement of
classification accuracy on the Caltech-256 dataset.


title: Physical, optical and nonlinear properties of InS single crystal

abstract:
  Indium Sulphide (InS) single crystals are successfully grown by In flux.
Single crystal X-ray diffraction shows orthorhombic structure of Pnnm space
group. Ellipsometry measurements performed on the (010) oriented crystal
exhibit low anisotropy in the 300-1000 nm wavelength range and consequently
negligible THz emission is observed. Optical band gap of $2.09 eV$ is deduced
from linear optical measurements. Nonlinear optical properties are studied by
single beam Z-scan measurements at 800 nm, where two-photon absorption is
present. Nonlinear refractive index and absorption coefficient are estimated to
be $\eta_2$ = $2.3 10^{-11} cm^2/W$ and $\beta$= $62.4 cm/ GW$, respectively
for excitation intensity of $0.32 GW/cm^2$. The origin of nonlinearity in InS
crystal is accounted to be due to the third-order anharmonic motion of the
bound electrons.


title:
ALMA observations of feeding and feedback in nearby Seyfert galaxies: an
  AGN-driven outflow in NGC 1433

abstract:
  We report ALMA observations of CO(3-2) emission in the Seyfert 2
double-barred galaxy NGC1433, at the unprecedented spatial resolution of
0.5"=24 pc. Our aim is to probe AGN feeding and feedback phenomena through the
morphology and dynamics of the gas inside the central kpc. The CO map, which
covers the whole nuclear region (nuclear bar and ring), reveals a nuclear
gaseous spiral structure, inside the nuclear ring encircling the nuclear
stellar bar.
  This gaseous spiral is well correlated with the dusty spiral seen in Hubble
Space Telescope images. The nuclear spiral winds up in a pseudo-ring at 200 pc
radius, which might correspond to the inner ILR. Continuum emission is detected
at 0.87 mm only at the very centre, and its origin is more likely thermal dust
emission than non-thermal emission from the AGN. It might correspond to the
molecular torus expected to exist in this Seyfert 2 galaxy. The HCN(4-3) and
HCO+(4-3) lines were observed simultaneously, but only upper limits are
derived, with a ratio to the CO(3-2) line lower than 1/60 at 3sigma, indicating
a relatively low abundance of very dense gas. The kinematics of the gas over
the nuclear disk reveal rather regular rotation only slightly perturbed by
streaming motions due to the spiral; the primary and secondary bars are too
closely aligned with the galaxy major or minor axis to leave a signature in the
projected velocities. Near the nucleus, there is an intense high-velocity CO
emission feature redshifted to 200 km/s (if located in the plane), with a
blue-shifted counterpart, at 2" (100 pc) from the centre. While the CO spectra
are quite narrow in the centre, this wide component is interpreted as an
outflow involving a molecular mass of 3.6 10^6 Mo and a flow rate 7 Mo/yr. The
flow could be in part driven by the central star formation, but is mainly
boosted by the AGN through its wind or radio jets.


title:
Representations of $a_{\infty}$ and $d_{\infty}$ with central charge 1
  on the single neutral fermion Fock space $\mathit{F^{\otimes \frac{1}{2}}}$

abstract:
  We construct a new representation of the infinite rank Lie algebra
$a_{\infty}$ with central charge $c=1$ on the Fock space $\mathit{F^{\otimes
\frac{1}{2}}}$ of a single neutral fermion. We show that $\mathit{F^{\otimes
\frac{1}{2}}}$ is a direct sum of irreducible integrable highest weight modules
for $a_{\infty}$ with central charge $c=1$. We prove that as $a_{\infty}$
modules $\mathit{F^{\otimes \frac{1}{2}}}$ is isomorphic to the Fock space
$\mathit{F^{\otimes 1}}$ of the charged free fermions. As a corollary we obtain
the decompositions of certain irreducible highest weight modules for
$d_{\infty}$ with central charge $c=\frac{1}{2}$ into irreducible highest
weight modules for $d_{\infty}$ with central charge $c=1$.


title: Enhanced topological phase and spin Hall shifts in an optical trap

abstract:
  The spin orbit interaction (SOI) of light has been in the focus in recent
times because of fundamental consequences and potential applications in diverse
systems ranging from inhomogeneous anisotropic media to engineered plasmonics
and metamaterial strutures. Here we demonstrate perhaps one of the simplest
means to realize SOI and the Spin Hall Shift (SHS) using a standard Gaussian
TEM$_{00}$ beam in an optical trap. Our system exploits the versatility and
interference generated in a stratified medium to control and manipulate SOI and
transfer the resulting angular momentum to optically trapped micro-particles.
We show that even such a simple setup can lead to an order of magnitude
enhancement in the SHS compared to the sub-wavelength shifts typically
obtained. Importantly, this leads to controlled rotation of mesoscopic
particles using a fundamental Gaussian beam lacking any intrinsic angular
momentum.


title: Resolving rational cohomological dimension via a Cantor group action

abstract:
  By a Cantor group we mean a topological group homeomorphic to the Cantor set.
We show that a compact metric space of rational cohomological dimension $n$ can
be obtained as the orbit space of a Cantor group action on a metric compact
space of covering dimension $n$. Moreover, the action can be assumed to be free
if $n=1$.


title: Tricolor percolation and random paths in 3D

abstract:
  We study "tricolor percolation" on the regular tessellation of R^3 by
truncated octahedra, which is the three-dimensional analog of the hexagonal
tiling of the plane. We independently assign one of three colors to each cell
according to a probability vector p = (p_1, p_2, p_3) and define a "tricolor
edge" to be an edge incident to one cell of each color. The tricolor edges form
disjoint loops and/or infinite paths. These loops and paths have been studied
in the physics literature, but little has been proved mathematically.
  We show that each p belongs to either the compact phase (in which the length
of the tricolor loop passing through a fixed edge is a.s. finite, with
exponentially decaying law) or the extended phase (in which the probability
that an n by n by n box intersects a tricolor path of diameter at least n
exceeds a positive constant, independent of n). We show that both phases are
non-empty and the extended phase is a closed subset of the probability simplex.
  We also survey the physics literature and discuss open questions, including
the following: Does p=(1/3,1/3,1/3) belong to the extended phase? Is there a.s.
an infinite tricolor path for this p? Are there infinitely many? Do they scale
to Brownian motion? If p lies on the boundary of the extended phase, do the
long paths have a scaling limit analogous to SLE_6 in two dimensions? What can
be shown for the higher dimensional analogs of this problem?

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


title: A short proof of Toru\'nczyk's Characterization Theorems

abstract:
  We present short proofs of Toru\'nczyk's well-known characterization theorems
of the Hilbert cube and Hilbert space, respectively.


title:
Solar-energy conversion and light emission in an atomic monolayer p-n
  diode

abstract:
  Two-dimensional (2D) atomic crystals, such as graphene and atomically thin
transition metal dichalcogenides (TMDCs), are currently receiving a lot of
attention. They are crystalline, and thus of high material quality, even so,
they can be produced in large areas and are bendable, thus providing
opportunities for novel applications. Here, we report a truly 2D p-n junction
diode, based on an electrostatically doped tungsten diselenide (WSe2)
monolayer. As p-n diodes are the basic building block in a wide variety of
optoelectronic devices, our demonstration constitutes an important advance
towards 2D optoelectronics. We present applications as (i) photovoltaic solar
cell, (ii) photodiode, and (iii) light emitting diode. Light power conversion
and electroluminescence efficiencies are ca. 0.5 % and 0.1 %, respectively.
Given the recent advances in large-scale production of 2D crystals, we expect
them to profoundly impact future developments in solar, lighting, and display
technologies.


title: Extensions of Quasipolar Rings

abstract:
  In this paper we define and study quasipolar general rings (with or without
identity) and extend many of the basic results to the wider class. We obtain
some new characterizations of quasipolar and strongly $\pi$-regular elements by
using quasipolar general rings. We see that quasipolar general rings lies
between strongly $\pi$-regular and strongly clean general rings. Consequently,
we prove that $R$ is pseudopolar if and only if $R$ is strongly $\pi$-rad clean
and quasipolar.


title: Old-minimal supergravity models of inflation

abstract:
  We study three types of the old-minimal higher-derivative supergravity
theories extending the $f(R)$ gravity, towards their use for the inflationary
model building in supergravity, by using both superfields and their field
components. In the curved superspace all those theories are described in terms
of a single chiral scalar curvature superfeld $\mathcal{R}$. Each of those
theories can be dualized into a matter-coupled supergravity without higher
derivatives. The first type is parametrized by a single non-holomorphic
potential $N(\mathcal{R},\bar{\mathcal{R}})$, and gives rise to the dual
matter-coupled supergravities with two dynamical chiral matter superfields
having a no-scale K\"ahler potential. We find that a generic potential
$N(\mathcal{R},\bar{\mathcal{R}})$ generates both the $(R+R^2)$ gravity and the
non-minimal coupling of the propagating complex scalar field to the $R$, needed
for the Starobinsky and Higgs inflation, respectively. We find the general
conditions for the Starobinsky inflation and compute the inflaton mass. The
second type is given by the chiral supergravity actions whose superfield
Lagrangian $F(\mathcal{R},\Sigma({\bar{\mathcal R}}))$ also depends upon the
chiral projection $\Sigma$ of the anti-chiral superfield ${\bar{\mathcal R}}$.
We find that the actions of the second type always give rise to ghosts. We also
revisit the $F(\mathcal{R})$ supergravity actions of the third type (without
the $\Sigma$-dependence) with the reduced number of the extra physical degrees
of freedom, comprising a single chiral matter superfeld with a no-scale
K\"ahler potential. We confirm that the pure $F(\mathcal{R})$ supergravity is
insufficient for realization of the Starobinsky inflation, though by the reason
different from those proposed in the recent literature.


title: The Quantum PCP Conjecture

abstract:
  The classical PCP theorem is arguably the most important achievement of
classical complexity theory in the past quarter century. In recent years,
researchers in quantum computational complexity have tried to identify
approaches and develop tools that address the question: does a quantum version
of the PCP theorem hold? The story of this study starts with classical
complexity and takes unexpected turns providing fascinating vistas on the
foundations of quantum mechanics, the global nature of entanglement and its
topological properties, quantum error correction, information theory, and much
more; it raises questions that touch upon some of the most fundamental issues
at the heart of our understanding of quantum mechanics. At this point, the jury
is still out as to whether or not such a theorem holds. This survey aims to
provide a snapshot of the status in this ongoing story, tailored to a general
theory-of-CS audience.


title: Mutually interacting Tachyon dark energy with variable $G$ and $\Lambda$

abstract:
  In this paper we consider Tachyonic scalar field as dark energy with
interaction between components in the case of variable $G$ and $\Lambda$. We
assume a flat Universe with specific form of scale factor and study
cosmological parameters numerically and graphically. Statefinder analysis also
performed as well. In the special choice of interaction parameters we succeed
to obtain analytical expression of densities. We find that our model will be
stable in the late stage but there is an instability at the early Universe.


title: Meshless discretization of LQ-type stochastic control problems

abstract:
  We propose a novel Galerkin discretization scheme for stochastic optimal
control problems on an indefinite time horizon. The control problems are
linear-quadratic in the controls, but possibly nonlinear in the state
variables, and the discretization is based on the fact that problems of this
kind can be transformed into linear boundary value problems by a logarithmic
transformation. We show that the discretized linear problem is dual to a Markov
decision problem, the precise form of which depends on the chosen Galerkin
basis. We prove a strong error bound in $L^{2}$ for the general scheme and
discuss two special cases: a variant of the known Markov chain approximation
obtained from a basis of characteristic functions of a box discretization, and
a sparse approximation that uses the basis of committor functions of metastable
sets of the dynamics; the latter is particularly suited for high-dimensional
systems, e.g., control problems in molecular dynamics. We illustrate the method
with several numerical examples, one being the optimal control of Alanine
dipeptide to its helical conformation.


title:
Most probable failure scenario in a model power grid with random power
  demand

abstract:
  We consider a simple system with a local synchronous generator and a load
whose power consumption is a random process. The most probable scenario of
system failure (synchronization loss) is considered, and it is argued that its
knowledge is virtually enough to estimate the probability of failure per unit
time. We discuss two numerical methods to obtain the "optimal" evolution
leading to failure.


title: Semilinear equations involving the fractional Laplacian on domains

abstract:
  Applying the method of moving planes in integral forms, we establish radial
symmetry for positive solutions to a class of semilinear equations involving
the fractional Laplacian in the unit ball and obtain Liouville type theorems
concerning the non-existence of positive solutions in the half space. The
regularity of solutions are also investigated.


title:
Electronic Structure and Upper Critical Field of Superconducting
  Ta$_2$PdS$_5$

abstract:
  We report electronic structure calculations for Ta$_2$PdS$_5$, which is a
layered superconductor containing heavy elements and displaying an upper
critical field, $H_{c2}(0)$, $\sim$3 times higher than the estimated Pauli
limit. We show that this is a multiband superconductor that is most likely in
the strong coupling regime. This provides an alternative explanation to strong
spin orbit scattering for the high upper critical field.


title:
A Model Explaining Correlation Between Observed Values in Contingency
  Tables

abstract:
  In this article, a model is proposed using Bayesian techniques to account for
the high correlation between many observed set of contingency tables. In many
real life data this high correlation is encountered. Simulation studies are
also given to check the effectiveness of this model.


title: On Coloring the Arcs of Biregular Graphs

abstract:
  Recalling each edge of a graph $H$ has 2 oppositely oriented arcs, each
vertex $v$ of $H$ is identified with the set of arcs, denoted $(v,e)$,
departing from $v$ along the edges $e$ of $H$ incident to $v$. Let $H$ be a
$(\lambda,\mu)$-biregular graph with bipartition $(Y,X)$, where $|Y|=k\mu$ and
$|X|=k\lambda$, ($0<k,\lambda,\mu\in\mathbb{Z}$). We consider the problem, for
each edge $e=yx$ in $H$, of assigning, a color (given by an element) of $Y$,
resp. $X$, to the arc $(y,e)$, resp. $(x,e)$, so that each color is assigned
exactly once in the set of arcs departing from each vertex of $H$. Furthermore,
we set such assignment to fulfill a specific bicolor weight function over a
monotonic subset of $Y\times X$. This problem applies to the Design of
Experiments for Industrial Chemistry, Molecular Biology, Cellular Neuroscience,
etc. An algorithmic construction based on biregulzr graphs with bipartitions
given by cyclic-group pairs is presented, as well as 3 essentially different
solutions to the Great Circle Challenge Puzzle based on a different biregular
graph whose bipartition is formed by the vertices and 5-cycles of the Petersen
graph.


title:
Estimating Copula and Test of Independence based on a generalized
  framework of all rank-based Statistics in Bivariate Sample

abstract:
  Copulas are mathematical objects that fully capture the dependence structure
among random variables and hence, offer a great flexibility in building
multivariate stochastic models. In statistics, a copula is used as a general
way of formulating a multivariate distribution in such a way that various
general types of dependence can be represented. In case of bivariate sample,
the notion of estimating copula is closely related to that of testing
independence in a bivariate sample, as when the components of the bivariate
sample are independent the copula becomes simply product of two uniform
distributions. So apart from non-parametric estimation of copulas we also
considered it relevant to introduce some non-parametric tests to better
understand the very essence of copula in the explanation of association between
the components. In fact we will develop a general multivariate statistics that
gives rise to a much larger class of non-parametric rank based statistics. This
class of statistics can be used in estimation and testing for the association
present in the bivariate sample. We choose some representative statistics from
that class and compared their power in testing independence using simulation as
an attempt to choose the best candidate in that class.


title: A C99 Implementation of the Clausen Sums

abstract:
  A C99 program is presented which calculates the Clausen sums for non-negative
integer indices j and real arguments x. The implementation is split into three
major cases. For large j, a direct, truncated summation of the sum is
performed. For smaller j, the associate polynomial of x is evaluated if
applicable; otherwise a Chebyshev series is constructed by repeated integration
of a (truncated) Chebyshev representation of Cl_2(x), and evaluated.


title: Deep Sub-Micron Stud-Via Technology for Superconductor VLSI Circuits

abstract:
  A fabrication process has been developed for fully planarized Nb-based
superconducting inter-layer connections (vias) with minimum size down to 250 nm
for superconductor very large scale integrated (VLSI) circuits with 8 and 10
superconducting layers on 200-mm wafers. Instead of single Nb wiring layers, it
utilizes Nb/Al/Nb trilayers for each wiring layer to form Nb pillars (studs)
providing vertical connections between the wires etched in the bottom layer of
the trilayer and the next wiring layer that is also deposited as a Nb/Al/Nb
trilayer. This technology makes possible a dramatic increase in the density of
superconducting digital circuits by reducing the area of interconnects with
respect to presently utilized etched contact holes between superconducting
layers and by enabling the use of stacked vias. Results on the fabrication and
size dependence of electric properties of Nb studs with dimensions near the
resolution limit of 248-nm photolithography are presented in the normal and
superconducting states. Superconducting critical current density in the
fabricated stud-vias is about 0.3 A/{\mu}m2 and approaches the depairing
current density of Nb films.


title:
A generalization of Schur's theorem and its application to consecutive
  power residues

abstract:
  This article provides a proof of a generalization of Schur's theorem on the
partition regularity of the equation x+y=z, which involves a divisibility
condition. This generalization will be utilized to prove the existence of
'small' consecutive power residues modulo p, where p is a sufficiently large
prime.


title: When to sell a Markov chain asset?

abstract:
  This paper is concerned with an optimal stock selling rule under a Markov
chain model. The objective is to find an optimal stopping time to sell the
stock so as to maximize an expected return. Solutions to the associated
variational inequalities are obtained. Closed-form solutions are given in terms
of a set of threshold levels. Verification theorems are provided to justify
their optimality. Finally, numerical examples are reported to illustrate the
results.


title:
On Self-Avoiding Walks across n-Dimensional Dice and Combinatorial
  Optimization: An Introduction

abstract:
  Self-avoiding walks (SAWs) were introduced in chemistry to model the
real-life behavior of chain-like entities such as solvents and polymers, whose
physical volume prohibits multiple occupation of the same spatial point. In
mathematics, a SAW lives in the n-dimensional lattices.
  In this paper, SAWs are a metaphor for walks across faces of n-dimensional
dice, or more formally, a hyperhedron family H(Theta, b, n). Each face is
assigned a label {x:Theta(x)}; x represents a unique n-dimensional coordinate
string, Theta(x) is the value of the function. The walk searches Theta(x) for
optima by following five simple rules: (1) select a random coordinate and mark
it as the `initial pivot'; (2) probe all unmarked adjacent coordinates, then
select and mark the coordinate with the 'best value' as the new pivot; (3)
continue the walk until either the 'best value' <= `target value' or the walk
is being blocked by adjacent coordinates that are already pivots; (4) if the
walk is blocked, restart the walk from a randomly selected `new initial pivot';
(5) if needed, manage the memory overflow with a streaming-like buffer of
appropriate size.
  Hard instances from a number of problem domains, including the 2D protein
folding problem, with up to (2^{25})*(3^{24}) coordinates, have been solved
with SAWs in less than 1,000,000 steps -- while also exceeding the quality of
best known solutions to date.


title:
Search for new physics in trilepton events and limits on the associated
  chargino-neutralino production at CDF

abstract:
  We perform a search for new physics using final states consisting of three
leptons and a large imbalance in transverse momentum resulting from
proton-antiproton collisions at 1.96 TeV center-of-mass energy. We use data
corresponding to 5.8 fb-1 of integrated luminosity recorded by the CDF II
detector at the Tevatron collider. Our main objective is to investigate
possible new low-momentum (down to 5 GeV/c) multi-leptonic final states not
investigated by LHC experiments. Relative to previous CDF analyses, we expand
the geometric and kinematic coverage of electrons and muons and utilize tau
leptons that decay hadronically. Inclusion of tau leptons is particularly
important for supersymmetry (SUSY) searches. The results are consistent with
standard-model predictions. By optimizing our event selection to increase
sensitivity to the minimal supergravity (mSUGRA) SUSY model, we set limits on
the associated production of chargino and neutralino, the SUSY partners of the
electroweak gauge bosons. We exclude cross sections up to 0.1 pb and chargino
masses up to 168 GeV/c^2 at 95% CL, for a suited set of mSUGRA parameters. We
also exclude a region of the two-dimensional space of the masses of the
neutralino and the supersymmetric partner of the tau lepton, not previously
excluded at the Tevatron.


title: Swimming near Deformable Membranes at Low Reynolds Number

abstract:
  Microorganisms are rarely found in Nature swimming freely in an unbounded
fluid. Instead, they typically encounter other organisms, hard walls, or
deformable boundaries such as free interfaces or membranes. Hydrodynamic
interactions between the swimmer and nearby objects lead to many interesting
phenomena, such as changes in swimming speed, tendencies to accumulate or turn,
and coordinated flagellar beating. Inspired by this class of problems, we
investigate locomotion of microorganisms near deformable boundaries. We
calculate the speed of an infinitely long swimmer close to a flexible surface
separating two fluids; we also calculate the deformation and swimming speed of
the flexible surface. When the viscosities on either side of the flexible
interface differ, we find that fluid is pumped along or against the swimming
direction, depending on which viscosity is greater.


title:
Representing finite distributive lattices as congruence lattices of
  lattices

abstract:
  Dilworth's theorem. Every finite distributive lattice $D$ can be represented
as the congruence lattice of a finite lattice $L$. We want: Every finite
distributive lattice $D$ can be represented as the congruence lattice of a nice
finite lattice $L$. nice = sectionally complemented, uniform, semimodular,
given automorphism group, regular, uniform, isoform


title: Structured learning of sum-of-submodular higher order energy functions

abstract:
  Submodular functions can be exactly minimized in polynomial time, and the
special case that graph cuts solve with max flow \cite{KZ:PAMI04} has had
significant impact in computer vision
\cite{BVZ:PAMI01,Kwatra:SIGGRAPH03,Rother:GrabCut04}. In this paper we address
the important class of sum-of-submodular (SoS) functions
\cite{Arora:ECCV12,Kolmogorov:DAM12}, which can be efficiently minimized via a
variant of max flow called submodular flow \cite{Edmonds:ADM77}. SoS functions
can naturally express higher order priors involving, e.g., local image patches;
however, it is difficult to fully exploit their expressive power because they
have so many parameters. Rather than trying to formulate existing higher order
priors as an SoS function, we take a discriminative learning approach,
effectively searching the space of SoS functions for a higher order prior that
performs well on our training set. We adopt a structural SVM approach
\cite{Joachims/etal/09a,Tsochantaridis/etal/04} and formulate the training
problem in terms of quadratic programming; as a result we can efficiently
search the space of SoS priors via an extended cutting-plane algorithm. We also
show how the state-of-the-art max flow method for vision problems
\cite{Goldberg:ESA11} can be modified to efficiently solve the submodular flow
problem. Experimental comparisons are made against the OpenCV implementation of
the GrabCut interactive segmentation technique \cite{Rother:GrabCut04}, which
uses hand-tuned parameters instead of machine learning. On a standard dataset
\cite{Gulshan:CVPR10} our method learns higher order priors with hundreds of
parameter values, and produces significantly better segmentations. While our
focus is on binary labeling problems, we show that our techniques can be
naturally generalized to handle more than two labels.


title: Iwasawa Theory for Locally Profinite Groups

abstract:
  We establish duality theory of p-adic unitary Banach representations of
locally profinite groups. This is an extension of Iwasawa theory for profinite
groups by P. Schneider and J. Teitelbaum. We also establish a criterion for an
irreducibility of a unitary representation by certain simpleness of the Iwasawa
module dual to it. Through the duality, the continuous induction of a unitary
Banach representation of a closed subgroup is interpreted as a certain
induction of Iwasawa module. It gives an explicit description of the dual of a
continuous parabolic induction on GL_n(Q_p).


title: Infinity Links L, infinity-4-Manifolds M_L and Kirby Categories

abstract:
  We construct what we call a Kirby category, a monoidal category whose
morphisms are smooth 4-manifolds, projecting down to another monoidal category
whose morphisms are orientable 3-manifolds, the projection being induced by the
boundary map on manifolds. We construct a higher categorical generalization of
such concepts and introduce the notion of ribbon $\infty$-categories, a
generalization of braided monoidal $\infty$-categories (\cite{Lu1}), which
gives rise to the concepts of $\infty$-links, $\infty$-4-manifolds as well as
the more general notion of walled $\infty$-4-manifolds if one focuses attention
on $\infty$-4-manifolds built from gluing thickened sheets on ribbons. These
fall into a larger class of constrained $\infty$-4-manifolds whose classical
4-dimensional counterparts are constrained 4-manifolds on which we consider
physical theories. We regard pairs of constrained 4-manifolds and Lagrangians
densities depicting physical theories defined on such spaces as morphism
objects in an enhanced Kirby category, whose objects are regarded as events. We
define a universal category $\Lambda$ of all events that we relate to the
$\infty$-category of ribbon $\infty$-categories and conclude in part that
Lagrangian field theories can be superseded by using $\infty$-categories.


title:
Correlated local bending of DNA double helix and its effect on the
  cyclization of short DNA fragments

abstract:
  We report a theoretical study of DNA flexibility and quantitatively predict
the ring closure probability as a function of DNA contour length. Recent
experimental studies show that the flexibility of short DNA fragments (as
compared to the persistence length of DNA l_P~150 base pairs) cannot be
described by the traditional worm-like chain (WLC) model, e.g., the observed
ring closure probability is much higher than predicted. To explain these
observations, DNA flexibility is investigated with explicit considerations of a
new length scale l_D~10 base pairs, over which DNA local bend angles are
correlated. In this correlated worm-like chain (C-WLC) model, a finite length
correction term is analytically derived and the persistence length is found to
be contour length dependent. While our model reduces to the traditional
worm-like chain model when treating long DNA at length scales much larger than
l_P, it predicts that DNA becomes much more flexible at shorter sizes, which
helps explain recent cyclization measurements of short DNA fragments around 100
base pairs.


title: Quantitative phase imaging via Fourier ptychographic microscopy

abstract:
  Fourier ptychographic microscopy (FPM) is a recently developed imaging
modality that uses angularly varying illumination to extend a system
performance beyond the limit defined by its optical elements. The FPM technique
applies a novel phase retrieval procedure to achieve both resolution
enhancement and complex image recovery. In this letter, we compare FPM data to
both theoretical prediction and phase-shifting digital holography measurement
to show that its acquired phase maps are quantitative and artifact-free. We
additionally explore the relationship between the achievable spatial and
optical thickness resolution offered by a reconstructed FPM phase image. We
conclude by demonstrating both enhanced visualization and the collection of
otherwise unobservable sample information using FPM quantitative phase.


title: Improving tag recommendation by folding in more consistency

abstract:
  Tag recommendation is a major aspect of collaborative tagging systems. It
aims to recommend tags to a user for tagging an item. In this paper we present
a part of our work in progress which is a novel improvement of recommendations
by re-ranking the output of a tag recommender. We mine association rules
between candidates tags in order to determine a more consistent list of tags to
recommend.
  Our method is an add-on one which leads to better recommendations as we show
in this paper. It is easily parallelizable and morever it may be applied to a
lot of tag recommenders. The experiments we did on five datasets with two kinds
of tag recommender demonstrated the efficiency of our method.


title:
Iterative Detection and Decoding for the Four-Rectangular-Grain TDMR
  Model

abstract:
  This paper considers detection and error control coding for the
two-dimensional magnetic recording (TDMR) channel modeled by the
two-dimensional (2D) four-rectangular-grain model proposed by Kavcic, Huang et.
al. in 2010. This simple model captures the effects of different 2D grain sizes
and shapes, as well as the TDMR grain overwrite effect: grains large enough to
be written by successive bits retain the polarity of only the last bit written.
We construct a row-by-row BCJR detection algorithm that considers outputs from
two rows at a time over two adjacent columns, thereby enabling consideration of
more grain and data states than previously proposed algorithms that scan only
one row at a time. The proposed algorithm employs soft-decision feedback of
grain states from previous rows to aid the estimation of current data bits and
grain states. Simulation results using the same average coded bit density and
serially concatenated convolutional code (SCCC) as a previous paper by Pan,
Ryan, et. al. show gains in user bits/grain of up to 6.7% over the previous
work when no iteration is performed between the TDMR BCJR and the SCCC, and
gains of up to 13.4% when the detector and the decoder iteratively exchange
soft information.


title: Thermal R-current correlators from AdS/CFT correspondence

abstract:
  We calculate all components of thermal R-current correlators from AdS/CFT
correspondence for non-zero momentum and energy. In zero momentum limit, we
find an analytic expression for the components Gxx(Gyy). The dielectric
function of strong coupling is also presented and compared with that in weak
coupling.


title:
Quarkonium Production and Medium Effects in High Energy Nuclear
  Collisions

abstract:
  Color screening and regeneration are both hot medium effects on quarkonium
production in high energy nuclear collisions. However, they affect in an
opposite way the finally observed quarkonium spectra. Due to the competition of
the two dynamical effects, the ratio of the integrated quarkonium yield between
nuclear and elementary nucleon collisions loses its sensitivity. Once the
information of quarkonium transverse motion is included, on the other hand, the
ratio of averaged transverse momentum square reveals the nature of the QCD
medium created in high energy nuclear collisions.


title:
Progenitor delay-time distribution of short gamma-ray bursts:
  Constraints from observations

abstract:
  Context. The progenitors of short gamma-ray bursts (SGRBs) have not yet been
well identified. The most popular model is the merger of compact object
binaries (NS-NS/NS-BH). However, other progenitor models cannot be ruled out.
The delay-time distribution of SGRB progenitors, which is an important property
to constrain progenitor models, is still poorly understood. Aims. We aim to
better constrain the luminosity function of SGRBs and the delay-time
distribution of their progenitors with newly discovered SGRBs. Methods. We
present a low-contamination sample of 16 Swift SGRBs that is better defined by
a duration shorter than 0.8 s. By using this robust sample and by combining a
self-consistent star formation model with various models for the distribution
of time delays, the redshift distribution of SGRBs is calculated and then
compared to the observational data. Results. We find that the power-law delay
distribution model is disfavored and that only the lognormal delay distribution
model with the typical delay tau >= 3 Gyr is consistent with the data.
Comparing Swift SGRBs with T90 > 0.8 s to our robust sample (T90 < 0.8 s), we
find a significant difference in the time delays between these two samples.
Conclusions. Our results show that the progenitors of SGRBs are dominated by
relatively long-lived systems (tau >= 3 Gyr), which contrasts the results found
for Type Ia supernovae. We therefore conclude that primordial NS-NS systems are
not favored as the dominant SGRB progenitors. Alternatively, dynamically formed
NS-NS/BH and primordial NS-BH systems with average delays longer than 5 Gyr may
contribute a significant fraction to the overall SGRB progenitors.


title:
An Application of Backpropagation Artificial Neural Network Method for
  Measuring The Severity of Osteoarthritis

abstract:
  The examination of Osteoarthritis disease through X-ray by rheumatology can
be classified into four grade of severity. This paper discusses about the
application of artificial neural network backpropagation method for measuring
the severity of the disease, where the observed X-ray range from wrist to
fingers. The main procedures of system in this paper is divided into three,
which are image processing, feature extraction, and artificial neural network
process. First, an X-ray image digital (200x150 pixels and greyscale) will be
thresholded, then extracted features based on probabilistic values of the color
intensity of seven bit quantization result, and statistical textures. That
feature values then will be normalizing to interval [0.1, 0.9], and then the
result would be processing on backpropagation artificial neural network system
as input to determine the severity of disease from an X-ray had input before
it. From testing with learning rate 0.3, momentum 0.4, hidden units five pieces
and about 132 feature vectors, this system had had a level of accuracy of 100%
for learning data, 80% for learning and non-learning data, and 66.6% for
non-learning data


title:
The Statics Dielectric Function and Interaction Potential In Strong
  Coupling With AdS/CFT

abstract:
  In this paper, we studied the static dielectric function and interaction
potential in strong coupling limit with AdS/CFT correspondence. The dielectric
function is depressed compared with that in weak coupling. The interaction
potential then presents a weaker screening characteristics in strong coupling,
which indicates a smaller Debye mass compared with weak coupling.


title: Meme and Variations: A Computer Model of Cultural Evolution

abstract:
  Holland's (1975) genetic algorithm is a minimal computer model of natural
selection that made it possible to investigate the effect of manipulating
specific parameters on the evolutionary process. If culture is, like biology, a
form of evolution, it should be possible to similarly abstract the underlying
skeleton of the process and develop a minimal model of it. Meme and Variations,
or MAV, is a computational model, inspired by the genetic algorithm, of how
ideas evolve in a society of interacting individuals (Gabora 1995). The name is
a pun on the classical music form 'theme and variations', because it is based
on the premise that novel ideas are variations of old ones; they result from
tweaking or combining existing ideas in new ways (Holland et al. 1981). MAV
explores the impact of biological phenomena such as over-dominance and
epistasis as well as cognitive and social phenomena such as the ability to
learn generalizations or imitate others on the fitness and diversity of
cultural transmissible actions.


title: Isoform lattices

abstract:
  Let $L$ be a lattice. We call a congruence relation $\gQ$ of $L$ isoform, if
any two congruence classes of $\gQ$ are isomorphic (as lattices). Let us call
the lattice $L$ isoform, if all congruences of $L$ are isoform.
  G. Gr\"atzer and E.\,T. Schmidt proved that every finite distributive lattice
$D$ can be represented as the congruence lattice of a finite isoform lattice
$L$.
  We now prove that every finite lattice $K$ has a congruence-preserving
extension to a finite isoform lattice $L$.


title: Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables

abstract:
  Finite tight frames for polynomial subspaces are constructed using monic Hahn
polynomials and Krawtchouk polynomials of several variables. Based on these
polynomial frames, two methods for constructing tight frames for the Euclidean
spaces are designed. With ${\mathsf r}(d,n):= \binom{n+d-1}{n}$, the first
method generates, for each $m \ge n$, two families of tight frames in ${\mathbb
R}^{{\mathsf r}(d,n)}$ with ${\mathsf r}(d+1,m)$ elements. The second method
generates a tight frame in ${\mathbb R}^{{\mathsf r}(d,N)}$ with $1 + N
\times{\mathsf r}(d+1, N)$ vectors. All frame elements are given in explicit
formulas.


title:
Structured Spectrum Allocation and User Association in Heterogeneous
  Cellular Networks

abstract:
  We study joint spectrum allocation and user association in heterogeneous
cellular networks with multiple tiers of base stations. A stochastic geometric
approach is applied as the basis to derive the average downlink user data rate
in a closed-form expression. Then, the expression is employed as the objective
function in jointly optimizing spectrum allocation and user association, which
is of non-convex programming in nature. A computationally efficient Structured
Spectrum Allocation and User Association (SSAUA) approach is proposed, solving
the optimization problem optimally when the density of users is low, and
near-optimally with a guaranteed performance bound when the density of users is
high. A Surcharge Pricing Scheme (SPS) is also presented, such that the
designed association bias values can be achieved in Nash equilibrium.
Simulations and numerical studies are conducted to validate the accuracy and
efficiency of the proposed SSAUA approach and SPS.


title: Finite-Length Analyses for Source and Channel Coding on Markov Chains

abstract:
  We study finite-length bounds for source coding with side information for
Markov sources and channel coding for channels with conditional Markovian
additive noise. For this purpose, we propose two criteria for finite-length
bounds. One is the asymptotic optimality and the other is the efficient
computability of the bound. Then, we derive finite-length upper and lower
bounds for coding length in both settings so that their computational
complexity is efficient. To discuss the first criterion, we derive the large
deviation bounds, the moderate deviation bounds, and second order bounds for
these two topics, and show that these finite-length bounds achieves the
asymptotic optimality in these senses. For this discussion, we introduce
several kinds of information measure for transition matrices.


title:
Transition-Metal Pentatelluride ZrTe$_5$ and HfTe$_5$: a Paradigm for
  Large-gap Quantum Spin Hall Insulators

abstract:
  Quantum spin Hall (QSH) insulators, a new class of quantum matters, can
support topologically protected helical edge modes inside bulk insulating gap,
which can lead to dissipationless transport. A major obstacle to reach wide
application of QSH is the lack of suitable QSH compounds, which should be
easily fabricated and has large size of bulk gap. Here we predict that single
layer ZrTe$_5$ and HfTe$_5$ are the most promising candidates to reach the
large gap QSH insulators with bulk direct (indirect) band gap as large as 0.4
eV (0.1 eV), and robust against external strains. The 3D crystals of these two
materials are good layered compounds with very weak inter-layer bonding and are
located near the phase boundary between weak and strong topological insulators,
which pave a new way to future experimental studies on both QSH effect and
topological phase transitions.


title: Parity proofs of the Kochen-Specker theorem based on the 120-cell

abstract:
  It is shown how the 300 rays associated with the antipodal pairs of vertices
of a 120-cell (a four-dimensional regular polytope) can be used to give
numerous "parity proofs" of the Kochen-Specker theorem ruling out the existence
of noncontextual hidden variables theories. The symmetries of the 120-cell are
exploited to give a simple construction of its Kochen-Specker diagram, which is
exhibited in the form of a "basis table" showing all the orthogonalities
between its rays. The basis table consists of 675 bases (a basis being a set of
four mutually orthogonal rays), but all the bases can be written down from the
few listed in this paper using some simple rules. The basis table is shown to
contain a wide variety of parity proofs, ranging from 19 bases (or contexts) at
the low end to 41 bases at the high end. Some explicit examples of these proofs
are given, and their implications are discussed.


title: Equilibria and Their Stability for a Viscous Droplet Model

abstract:
  A classical model of fluid dynamics is considered which describes the shape
evolution of a viscous liquid droplet on a homogeneous substrate. All
equilibria are characterized and their stability is analyzed by a geometric
reduction argument.


title: Casson towers and filtrations of the smooth knot concordance group

abstract:
  The n-solvable filtration $\{\mathcal{F}_n\}_{n=0}^\infty$ of the smooth knot
concordance group (denoted by $\mathcal{C}$), due to Cochran-Orr-Teichner, has
been instrumental in the study of knot concordance in recent years. Part of its
significance is due to the fact that certain geometric characterizations of a
knot imply membership in various levels of the filtration. We show the
counterpart of this fact for two new filtrations of $\mathcal{C}$ due to
Cochran-Harvey-Horn, the positive and negative filtrations, denoted by
$\{\mathcal{P}_n\}_{n=0}^\infty$ and $\{\mathcal{N}_n\}_{n=0}^\infty$
respectively. In particular, we show that if a knot K bounds a Casson tower of
height n+2 in the 4-ball with only positive (resp. negative) kinks in the
base-level kinky disk, then K is in $\mathcal{P}_n$ (resp. $\mathcal{N}_n$). En
route to this result we show that if a knot K bounds a Casson tower of height
n+2 in the 4-ball, it bounds an embedded (symmetric) grope of height n+2, and
is therefore, n-solvable (this also implies that topologically slice knots
bound arbitrarily tall gropes in the 4-ball). We also define a variant of
Casson towers and show that if K bounds a tower of type (2,n) in the 4-ball, it
is n-solvable. If K bounds such a tower with only positive (resp. negative)
kinks in the base-level kinky disk then K is in $\mathcal{P}_n$ (resp.
$\mathcal{N}_n$). Our results show that either every knot which bounds a Casson
tower of height three is topologically slice or there exists a knot which is
not topologically slice but lies in each $\mathcal{F}_n$. We also give a
3-dimensional characterization, up to concordance, of knots which bound kinky
disks in the 4-ball with only positive (resp. negative) kinks; such knots form
a subset of $\mathcal{P}_0$ (resp. $\mathcal{N}_0$).


title:
Probing global aspects of a geometry by the self-force on a charge:
  Spherical thin-shell wormholes

abstract:
  The self-interaction for a static point charge in the space-time of a
thin-shell wormhole constructed connecting two identical Schwarzschild
geometries is calculated in a series expansion. The electrostatic self-force is
evaluated numerically. It is found to be attractive towards the throat except
for some values of the throat radius proximate to the value of the
Schwarzschild horizon for which the force is repulsive or attractive depending
on the position of the charge. The result differs from the self-force in the
space-time of the Schwarzschild black hole, where it is always repulsive from
the center. Although these wormhole and black hole geometries are locally
indistinguishable, the different topologies of both backgrounds are manifested
in the electrostatic field of a point charge.


title:
Mechanism of production of light complex particles in nucleon-induced
  reactions

abstract:
  The Improved Quantum Molecular Dynamics (ImQMD) model incorporated with the
statistical decay model is successful in describing emission of nucleons in the
intermediate energy spallation reactions, but not good enough in describing
productions of light complex particles, i.e. $d$, $t$, $^3$He and $^4$He.
  To improve the description on emission of light complex particles, a
phenomenological mechanism called surface coalescence and emission is
introduced into ImQMD model: nucleon ready to escape from the compound nuclei
can coalesce with the other nucleon(s) to form light complex particle and be
emitted. With updated ImQMD model, the description on the experimental data of
light complex particles produced in nucleon-induced reactions are great
improved.


title: An example on volumes jumping over Zariski dense set

abstract:
  We give an example that the volume of an $\mathbb{R}$-divisor on a family of
complex smooth surfaces jumps at infinite many prime divisors in the base. Our
example follows the construction in \cite{1}.


title:
Interference phenomenon and geometric phase for Dirac neutrino in pion+
  decay

abstract:
  We analyze the geometric phase in the neutrino oscillation phenomenon, which
follows the pion decay \pi+ --> \mu+ + \nu_{\mu}. Its value \pi is consistent
with the present-day global analysis of the Standard Model neutrino oscillation
parameters, accounting for the nonzero value of \theta_13. The impact of the
charge-parity (CP) violating phase \delta, the neutrino's nature, and the new
physics is discussed.


title: A variety of Euler's conjecture

abstract:
  We consider a variety of Euler's conjecture, i.e., whether the Diophantine
system \[\begin{cases} n=a_{1}+a_{2}+\cdots+a_{s-1}, a_{1}a_{2}\cdots
a_{s-1}(a_{1}+a_{2}+\cdots+a_{s-1})=b^{s} \end{cases}\] has solutions
$n,b,a_i\in\mathbb{Z}^+,i=1,2,\ldots,s-1,s\geq 3.$ By using the theory of
elliptic curves, we prove that it has no solutions $n,b,a_i\in\mathbb{Z}^+$ for
$s=3$, but for $s=4$ it has infinitely many solutions $n,b,a_i\in\mathbb{Z}^+$
and for $s\geq 5$ there are infinitely many polynomial solutions
$n,b,a_i\in\mathbb{Z}[t_1,t_2,\ldots,t_{s-3}]$ with positive value satisfying
this Diophantine system.


title:
Multistate APLIP and VibLIP: From molecular bond extension to atomic
  transport

abstract:
  APLIP is a method for using a STIRAP-like three-state configuration with two
laser pulses for continuous extension of a molecular bond, introduced in 1998.
It is based on time-dependent light-induced potential surfaces (LIP). In VibLIP
one extends the idea into a method for tailoring the vibrational state while
changing the electronic state, introduced in 2000. Here I discuss the extension
of both methods to situations that involve more than three electronic states,
and note the possibility of using the method on adiabatic transport of atoms
between microtraps or equivalent structures.


title:
The Astrophysical S-factor of the 12C(\alpha,\gamma)16O Reaction at
  Solar Energies

abstract:
  The astrophysical S-factor of the 4He-12C radiative capture is calculated in
the potential model at the energy range 0.1-2.0 MeV. Radiative capture
12C(\alpha,\gamma)16O is extremely relevant for the fate of massive stars and
determines if the remnant of a supernova explosion becomes a black hole or a
neutron star. Because this reaction occurs at low-energies the experimental
measurements is very difficult and perhaps impossible. In this paper, radiative
capture of the 12C(\alpha,\gamma)16O reaction at very low-energies is taken as
a case study. In comparison with other theoretical methods and available
experimental data, excellent agreement is achieved for the astrophysical
S-factor of this process.


title:
Joint Power and Antenna Selection Optimization in Large Cloud Radio
  Access Networks

abstract:
  Large multiple-input multiple-output (MIMO) networks promise high energy
efficiency, i.e., much less power is required to achieve the same capacity
compared to the conventional MIMO networks if perfect channel state information
(CSI) is available at the transmitter. However, in such networks, huge overhead
is required to obtain full CSI especially for Frequency-Division Duplex (FDD)
systems. To reduce overhead, we propose a downlink antenna selection scheme,
which selects S antennas from M>S transmit antennas based on the large scale
fading to serve K\leq S users in large distributed MIMO networks employing
regularized zero-forcing (RZF) precoding. In particular, we study the joint
optimization of antenna selection, regularization factor, and power allocation
to maximize the average weighted sum-rate. This is a mixed combinatorial and
non-convex problem whose objective and constraints have no closed-form
expressions. We apply random matrix theory to derive asymptotically accurate
expressions for the objective and constraints. As such, the joint optimization
problem is decomposed into subproblems, each of which is solved by an efficient
algorithm. In addition, we derive structural solutions for some special cases
and show that the capacity of very large distributed MIMO networks scales as
O\left(K\textrm{log}M\right) when M\rightarrow\infty with K,S fixed.
Simulations show that the proposed scheme achieves significant performance gain
over various baselines.


title: Chemical Variation in Molecular Cloud Cores in the Orion A Cloud. II

abstract:
  We have mapped six molecular cloud cores in the Orion A giant molecular cloud
(GMC), whose kinetic temperatures range from 10 to 30 K, in CCS and N2H+ with
Nobeyama 45 m radio telescope to study their chemical characteristics. We
identified 31 intensity peaks in the CCS and N2H+ emission in these molecular
cloud cores. It is found for cores with temperatures lower than ~ 25 K that the
column density ratio of N(N2H+)/N(CCS) is low toward starless core regions
while it is high toward star-forming core regions, in case that we detected
both of the CCS and N2H+ emission. This is very similar to the tendency found
in dark clouds (kinetic temperature ~ 10 K). The criterion found in the Orion A
GMC is N(N2H+)/N(CCS) ~ 2-3. In some cases, the CCS emission is detected toward
protostars as well as the N2H+ emission. Secondary late-stage CCS peak in the
chemical evolution caused by CO depletion may be a possible explanation for
this. We found that the chemical variation of CCS and N2H+ can also be used as
a tracer of evolution in warm (10-25 K) GMC cores. On the other hand, some
protostars do not accompany N2H+ intensity peaks but are associated with dust
continuum emitting regions, suggesting that the N2H+ abundance might be
decreased due to CO evaporation in warmer star-forming sites.


title:
Decoupled phase of frustrated spin-1/2 antiferromagnetic chains with and
  without long range order in the ground state

abstract:
  The quantum phases of one-dimensional spin $s= 1/2$ chains are discussed for
models with two parameters, frustrating exchange $g = J_2 > 0$ between second
neighbors and normalized nonfrustrating power-law exchange with exponent
$\alpha$ and distance dependence $r^{-\alpha}$. The ground state (GS) at $g =
0$ has long-range order (LRO) for $\alpha < 2$, long-range spin fluctuations
for $\alpha > 2$. The models conserve total spin $S = S_A + S_B$, have singlet
GS for any $g$, $\alpha \ge 0$ and decouple at $1/g = 0$ to linear Heisenberg
antiferromagnets on sublattices $A$ and $B$ of odd and even-numbered sites.
Exact diagonalization of finite chains gives the sublattice spin $ \ < S^2_A \
>$, the magnetic gap $E_m$ to the lowest triplet state and the excitation
$E_{\sigma}$ to the lowest singlet with opposite inversion symmetry to the GS.
An analytical model that conserves sublattice spin has a first order quantum
transition at $g_c = 1/4{\rm ln2}$ from a GS with perfect LRO to a decoupled
phase with $S_A = S_B = 0$ for $g \ge 4/\pi^2$ and no correlation between spins
in different sublattices. The model with $\alpha = 1$ has a first order
transition to a decoupled phase that closely resembles the analytical model.
The bond order wave (BOW) phase and continuous quantum phase transitions of
finite models with $\alpha \ge 2$ are discussed in terms of GS degeneracy where
$E_{\sigma}(g) = 0$, excited state degeneracy where $E_{\sigma}(g) = E_m(g)$,
and $\ < S^2_A \ >$. The decoupled phase at large frustration has nondegenerate
GS for any exponent $\alpha$ and excited states related to sublattice
excitations.


title:
Threshold Saturation for Spatially-Coupled LDPC and LDGM Codes on BMS
  Channels

abstract:
  Spatially-coupled low-density parity-check (LDPC) codes, which were first
introduced as LDPC convolutional codes, have been shown to exhibit excellent
performance under low-complexity belief-propagation decoding. This phenomenon
is now termed threshold saturation via spatial coupling. Spatially-coupled
codes have been successfully applied in numerous areas. In particular, it was
proven that spatially-coupled regular LDPC codes universally achieve capacity
over the class of binary memoryless symmetric (BMS) channels under
belief-propagation decoding.
  Recently, potential functions have been used to simplify threshold saturation
proofs for scalar and vector recursions. In this paper, potential functions are
used to prove threshold saturation for irregular LDPC and low-density
generator-matrix (LDGM) codes on BMS channels, extending the simplified proof
technique to BMS channels. The corresponding potential functions are closely
related to the average Bethe free entropy of the ensembles in the large-system
limit. These functions also appear in statistical physics when the replica
method is used to analyze optimal decoding.


title:
The irreducible modules for the derivations of the rational quantum
  torus

abstract:
  Let $\bbcq$ be the quantum torus associated with the $d \times d$ matrix $q =
(q_{ij})$, $q_{ii} = 1$, $q_{ij}^{-1} = q_{ji}$, $q_{ij}$ are roots of unity,
for all $1 \leq i, j \leq d.$ Let $\Der(\bbcq)$ be the Lie algebra of all the
derivations of $\bbcq$. In this paper we define the Lie algebra $\Der(\bbcq)
\ltimes \bbcq$ and classify its modules which are irreducible and have finite
dimensional weight spaces. These modules under certain conditions turn out to
be of the form $V \otimes \bbcq$, where $V$ is a finite dimensional irreducible
$gl_d$-module.


title: Three-Body Recombination in Cold Atomic Gases

abstract:
  Systems of three particles show a surprising feature in their bound state
spectrum: a series of geometrically scaled states, known as Efimov states.
These states have not yet been observed directly, but many recent experiments
show indirect evidence of their existence via the so-called recombination
process. The theories that predict the Efimov states also predicts either
resonant enhancement of the recombination process or suppression by destructive
interference, depending on the sign of the interaction between the particles.
The theories predict universal features for the Efimov states, for instance
that the geometric scaling factor is 22.7, meaning that one state is 22.7 times
larger than its lower lying neighbour state. This thesis seeks to investigate
non-universal effects by incorporating additional information about the
physical interactions into the universal theories.


title:
A Quantum Model on Chemically-Physically Induced Pluripotency in Stem
  Cells

abstract:
  A quantum model on the chemically and physically induced pluripotency in stem
cells is proposed. Based on the conformational Hamiltonian and the idea of slow
variables (molecular torsions) slaving fast ones the conversion from the
differentiate state to pluripotent state is defined as the quantum transition
between conformational states. The transitional rate is calculated and an
analytical form for the rate formulas is deduced. Then the dependence of the
rate on the number of torsion angles of the gene and the magnitude of the rate
can be estimated by comparison with protein folding. The reaction equations of
the conformational change of the pluripotency genes in chemical reprogramming
are given. The characteristic time of the chemical reprogramming is calculated
and the result is consistent with experiments. The dependence of the transition
rate on physical factors such as temperature, PH value and the volume and shape
of the coherent domain is analyzed from the rate equation. It is suggested that
by decreasing the coherence degree of some pluripotency genes a more effective
approach to the physically induced pluripotency can be made.


title:
H2O Maser Emission in Circumstellar Envelopes around AGB Stars: Physical
  Conditions in Gas-Dust Clouds

abstract:
  The pumping of 22.2-GHz H$_2$O masers in the circumstellar envelopes of
asymptotic giant branch stars has been simulated numerically. The physical
parameters adopted in the calculations correspond to those of the circumstellar
envelope around IK Tau. The one-dimensional plane-parallel structure of the
gas-dust cloud is considered. The statistical equilibrium equations for the
H$_2$O level populations and the thermal balance equations for the gas-dust
cloud are solved self-consistently. The calculations take into account 410
rotational levels belonging to the five lowest vibrational levels of H$_2$O.
The stellar radiation field is shown to play an important role in the thermal
balance of the gas-dust cloud due to the absorption of emission in
rotational-vibrational H$_2$O lines. The dependence of the gain in the 22.2-GHz
maser line on the gas density and H$_2$O number density in the gas-dust cloud
is investigated. Gas densities close to the mean density of the stellar wind,
10$^7-10^8$ cm$^{-3}$, and a high relative H$_2$O abundance, more than
10$^{-4}$, have been found to be the most likely physical conditions in maser
sources.


title: Triangular Fej\'er Summability of Two-Dimensional Walsh-Fourier series

abstract:
  It is proved that the operators $\sigma_{n}^{\bigtriangleup}$ of the
triangular-Fej{\'e}r-means of a two-dimensional Walsh--Fourier series are
uniformly bounded from the dyadic Hardy space $H_{p}$ to $L_{p}$ for all $%
4/5<p\leq \infty $.


title: Mathematical Model of Age Aggression

abstract:
  We formulate a mathematical model of competition for resources between
representatives of different age groups. A nonlinear kinetic
integral-differential equation of the age aggression describes the process of
redistribution of resources. It is shown that the equation of the age
aggression has a stationary solution, in the absence of age-dependency in the
interaction of different age groups. A numerical simulation of the evolution of
resources for different initial distributions has done. It is shown the
instability of the system and the existence of regimes leading to a
concentration of resources in the certain age groups.


title:
Uniqueness vs non-uniqueness in complete connections with modified
  majority rules

abstract:
  We take a closer look at a class of chains with complete connections
introduced by Berger, Hoffman and Sidoravicius. Besides giving a sharper
description of the uniqueness and non-uniqueness regimes, we show that if the
pure majority rule used to fix the dependence on the past is replaced with a
function that is Lipschitz at the origin, then uniqueness always holds, even
with arbitrarily slow decaying variation.


title: On certain class of entire functions and a conjecture by Alan Sokal

abstract:
  In this paper we determine a class of entire functions using conditions on
their odd and even parts. Further it is shown that the zeros of members of this
class are localized in a very special way. This result allows us to treat a
particular case of a conjecture by A. Sokal.


title: Pairing Effects in Nuclear Fusion Reaction

abstract:
  We simulate a heavy-ion collision using the canonical-basis time-dependent
Hartree-Fock-Bogoliubov theory (Cb-TDHFB) treating pairing correlation in the
three-dimensional coordinate space. We apply the Cb-TDHFB to 22O+22O collision
with a contact-type pairing energy functional, and compare results of Cb-TDHFB
and TDHF to investigate the effects of pairing correlations in nuclear fusion.
Our results seem to indicate that pairing effects do not increase the fusion
cross section in this system.


title:
Longitudinal spin excitations and magnetic anisotropy in
  antiferromagnetically ordered BaFe2As2

abstract:
  We report on a spin-polarized inelastic neutron scattering study of spin
waves in the antiferromagnetically ordered state of BaFe2As2. Three distinct
excitation components are identified, with spins fluctuating along the c-axis,
perpendicular to the ordering direction in the ab-plane, and parallel to the
ordering direction. While the first two "transverse" components can be
described by a linear spin-wave theory with magnetic anisotropy and inter-layer
coupling, the third "longitudinal" component is generically incompatible with
the local moment picture. It points towards a contribution of itinerant
electrons to the magnetism already in the parent compound of this family of
Fe-based superconductors.


title:
Dynamical mean-field analysis of ordered phases in the half-filled
  Holstein-Hubbard model

abstract:
  We investigate ordered phases (s-wave superconducting (SC), antiferromagnetic
(AF) and charge ordered (CO) phases) of the half-filled Holstein-Hubbard model
using the dynamical mean-field theory in combination with a continuous time
quantum Monte Carlo impurity solver. We particularly focus on the parameter
regime where the electron-electron Coulomb interaction and the phonon mediated
retarded attractive interaction are both comparable to the bare electron
bandwidth to understand the interplay of these interactions and the retardation
effects due to finite phonon frequency \omega_0. Results for the transition
temperatures for SC and AF as a function of the effective interaction
U_eff(=U-\lambda with U the Coulomb repulsion and \lambda the phonon-mediated
attraction) show deviations from the the corresponding results in the
anti-adiabatic limit. These are analyzed by comparing with an effective static
model in the polaron picture. We also determine the phase diagram around
U_eff=0 at low, but nonzero temperatures to show that paramagnetic phases
appear between AF and CO when U and \lambda are small or large, while AF and CO
directly compete with each other at moderate U and \lambda.


title:
A fully-coupled discontinuous Galerkin method for two-phase flow in
  porous media with discontinuous capillary pressure

abstract:
  In this paper we formulate and test numerically a fully-coupled discontinuous
Galerkin (DG) method for incompressible two-phase flow with discontinuous
capillary pressure. The spatial discretization uses the symmetric interior
penalty DG formulation with weighted averages and is based on a wetting-phase
potential / capillary potential formulation of the two-phase flow system. After
discretizing in time with diagonally implicit Runge-Kutta schemes the resulting
systems of nonlinear algebraic equations are solved with Newton's method and
the arising systems of linear equations are solved efficiently and in parallel
with an algebraic multigrid method. The new scheme is investigated for various
test problems from the literature and is also compared to a cell-centered
finite volume scheme in terms of accuracy and time to solution. We find that
the method is accurate, robust and efficient. In particular no post-processing
of the DG velocity field is necessary in contrast to results reported by
several authors for decoupled schemes. Moreover, the solver scales well in
parallel and three-dimensional problems with up to nearly 100 million degrees
of freedom per time step have been computed on 1000 processors.


title:
Can we predict the magnetic properties of PMS stars from their H-R
  diagram location?

abstract:
  Spectropolarimetric observations combined with tomographic imaging techniques
have revealed that all pre-main sequence (PMS) stars host multipolar magnetic
fields, ranging from strong and globally axisymmetric with ~>kilo-Gauss dipole
components, to complex and non-axisymmetric with weak dipole components (<~0.1
kG). Many host dominantly octupolar large-scale fields. We argue that the
large-scale magnetic properties of a PMS star are related to its location in
the Hertzsprung-Russell diagram. This conference paper is a synopsis of Gregory
et al. (2012), updated to include the latest results from magnetic mapping
studies of PMS stars.


title:
Design and experimental study of superconducting left-handed
  transmission lines with tunable dispersion

abstract:
  We study microwave properties of a superconducting tunable coplanar waveguide
(CPW). Pairs of Josephson junctions are forming superconducting quantum
interference devices (SQUIDs), which shunt the central conductor of the CPW.
The Josephson inductance of the SQUIDs is varied in the range of 0.08-0.5 nH by
applying an external dc magnetic field. The central conductor of the CPW
contains Josephson junctions connected in series that provide extra
inductances; the magnetic field controlling the SQUIDs is weak enough not to
influence the inductance of the chain of the single junctions. The circuit is
designed to have left- and right-handed transmission properties separated by a
variable rejection band; the band edges can be tuned by the magnetic field. We
present transmission measurements on CPWs based on up to 120 Nb-AlOx-Nb
Josephson junctions. At zero magnetic field, we observed no rejection band in
the frequency range of 8-11 GHz. When applying the magnetic field, a rejection
band between 7 GHz and 9 GHz appears. The experimental data are compared with
numerical simulations.


title: On the Evolution of Structure in Turbulence Phenomena

abstract:
  We study the evolution of coherent structures in arbitrary turbulence
phenomena, developing some tools, from non-archimedean analysis and algebraic
geometry, in order to model its display. We match the scale-dependent,
topological structure of the physical fields subsumed by these coherent
structures with the phase portraits of some convenient, non-archimedean
dynamical systems whose set we endow with a law of action. Finally, we obtain
the proposition of an extremum principle for this action to define a geodesic
path, as the modelized coherent structures evolve, and we delineate the
conception of two experiments, derived from the fields of fluid and plasma
turbulence, to test its efectiveness.


title:
Klein-Gordon Transformation sans Extraneous Insertions: the Isomorphic
  Classical Complement to a Quantum System

abstract:
  The historical Klein-Gordon transformation of complex-valued first-order in
time Schroedinger equations iterates these in a naively straightforward way
which changes them into complex-valued second-order in time equations that have
a plethora of extraneous solutions -- the transformation is an
operator-calculus analogue of the squaring of both sides of an algebraic
equation. The real and imaginary parts of a Schroedinger equation, however, are
well known to be precisely the dynamical equation pair of the real-valued
classical Hamiltonian functional which is numerically equal to the expectation
value of that Schroedinger equation's Hermitian Hamiltonian operator. The
purely real-valued second-order in time Euler-Lagrange equation of the
corresponding classical Lagrangian functional is also isomorphic to that
Schroedinger equation, and for symmetric Hamiltonians has exactly the same
formal appearance as the corresponding naive complex-valued Klein-Gordon
equation, but none of the latter's extraneous solutions. These quantum
Schroedinger-equation isomorphisms to classical Euler-Lagrange equations are
the technical manifestation of a key theoretical aspect of the principle of
complementarity, one which is elegantly illustrated by the isomorphic
free-photon wave-function complement to the vector potential of source-free
classical electrodynamics.


title: Lecture Notes, Bernoulli Polynomials and Applications

abstract:
  In this lecture notes we try to familiarize the audience with the theory of
Bernoulli polynomials; we study their properties, and we give, with proofs and
references, some of the most relevant results related to them. Several
applications to these polynomials are presented, including a unified approach
to the asymptotic expansion of the error term in many numerical quadrature
formulae, and many new and sharp inequalities, that bound some trigonometric
sums.


title: Weak measurement of cotunneling time

abstract:
  Quantum mechanics allows the existence of "virtual states" that have no
classical analogue. Such virtual states defy direct observation through strong
measurement, which would destroy the volatile virtual state. Here we show how a
virtual state of an interacting many-body system can be detected employing a
weak measurement protocol with postselection. We employ this protocol for the
measurement of the time it takes an electron to tunnel through a virtual state
of a quantum dot (cotunneling). Contrary to classical intuition, this
cotunneling time is independent of the strength of the dot-lead coupling and
may deviate from that predicted by time-energy uncertainty relation. Our
approach, amenable to experimental verification, may elucidate an important
facet of quantum mechanics which hitherto was not accessible by direct
measurements.


title: Bundles of Verlinde spaces and group actions

abstract:
  A Verlinde space of level $k$ is the space of global sections of the $k$-th
power of the determinant line bundle on the moduli space $\cSU_C(r)$ of
semi-stable bundles of rank $r$ on a curve $C$. The aim of this note is to make
accessible some remarks on the action of the Theta group on the Verlinde spaces
of higher level. This gives a decomposition of the bundle of Verlinde spaces
over the moduli space of curves and we indicate how to compute the rank of the
isotypical components in the decomposition.


title:
A closed parameterization of DNA-damage by charged particles as a
  function of energy - A geometrical approach

abstract:
  Purpose: To present a closed formalism calculating charged particle radiation
damage induced in DNA. The formalism is valid for all types of charged
particles and due to its closed nature is suited to provide fast conversion of
dose to DNA-damage. Methods: The induction of double strand breaks in
DNA--strings residing in irradiated cells is quantified using a single particle
model. This leads to a proposal to use the cumulative Cauchy distribution to
express the mix of high and low LET type damage probability generated by a
single particle. A microscopic phenomenological Monte Carlo code is used to fit
the parameters of the model as a function of kinetic energy related to the
damage to a DNA molecule embedded in a cell. The model is applied for four
particles: electrons, protons, alpha--particles, and carbon ions. A geometric
interpretation of this observation using the impact ionization mean free path
as a quantifier, allows extension of the model to very low energies. Results:
The mathematical expression describes the model adequately using a chi--square
test ($\chi^2/NDF < 1$). This applies to all particle types with an almost
perfect fit for protons, while the other particles seem to result in some
discrepancies at very low energies. The implementation calculating a strict
version of the RBE based on complex damage alone is corroborated by
experimental data from the measured RBE. The geometric interpretation generates
a unique dimensionless parameter $k$ for each type of charged particle. In
addition, it predicts a distribution of DNA damage which is different from the
current models.


title:
Channel Estimation, Carrier Recovery, and Data Detection in the Presence
  of Phase Noise in OFDM Relay Systems

abstract:
  Due to its time-varying nature, oscillator phase noise can significantly
degrade the performance of channel estimation, carrier recovery, and data
detection blocks in high-speed wireless communication systems. In this paper,
we analyze joint channel, \emph{carrier frequency offset (CFO)}, and phase
noise estimation plus data detection in \emph{orthogonal frequency division
multiplexing (OFDM)} relay systems. To achieve this goal, a detailed
transmission framework involving both training and data symbols is presented.
In the data transmission phase, a comb-type OFDM symbol consisting of both
pilots and data symbols is proposed to track phase noise over an OFDM frame.
Next, a novel algorithm that applies the training symbols to jointly estimate
the channel responses, CFO, and phase noise based on the maximum a posteriori
criterion is proposed. Additionally, a new \emph{hybrid Cram\'{e}r-Rao lower
bound} for evaluating the performance of channel estimation and carrier
recovery algorithms in OFDM relay networks is derived. Finally, an iterative
receiver for joint phase noise estimation and data detection at the destination
node is derived. Extensive simulations demonstrate that the application of the
proposed estimation and receiver blocks significantly improves the performance
of OFDM relay networks in the presence of phase noise.


title:
Improved bounds for the randomized decision tree complexity of recursive
  majority

abstract:
  We consider the randomized decision tree complexity of the recursive
3-majority function. We prove a lower bound of $(1/2-\delta) \cdot 2.57143^h$
for the two-sided-error randomized decision tree complexity of evaluating
height $h$ formulae with error $\delta \in [0,1/2)$. This improves the lower
bound of $(1-2\delta)(7/3)^h$ given by Jayram, Kumar, and Sivakumar (STOC'03),
and the one of $(1-2\delta) \cdot 2.55^h$ given by Leonardos (ICALP'13).
Second, we improve the upper bound by giving a new zero-error randomized
decision tree algorithm that has complexity at most $(1.007) \cdot 2.64944^h$.
The previous best known algorithm achieved complexity $(1.004) \cdot
2.65622^h$. The new lower bound follows from a better analysis of the base case
of the recursion of Jayram et al. The new algorithm uses a novel "interleaving"
of two recursive algorithms.


title:
Sensitively Temperature-Dependent Spin Orbit Coupling in SrIrO3 Thin
  Films

abstract:
  Spin orbit coupling plays a non-perturbation effect in many recently
developed novel fields including topological insulators and spin-orbit
assistant Mott insulators. In this paper, strongly temperature-dependent spin
orbit coupling, revealed by weak anti-localization, is observed at low
temperature in 5d strongly correlated compound, SrIrO3. As the temperature
rising, increase rate of Rashba coefficient is nearly 30%-45%/K. The increase
is nearly 100 times over that observed in semiconductor heterostructures.
Microscopically, the large increase of Rashba coefficient is attributed to the
significant evolution of effective Land\'e g factor on temperature, whose
mechanism is discussed. Sensitively temperature-dependent spin orbit coupling
in SrIrO3 might be applied in spintronic devices


title: On the properties of a sequence concerning binomial coefficients

abstract:
  For $n\ge 3$ let $f(n)$ be the least positive integer $k$ such that $\binom
nk>\frac{2^n}{n+1}$. In this paper we investigate the properties of $f(n)$.


title:
Pore-Scale Modeling of Navier-Stokes Flow in Distensible Networks and
  Porous Media

abstract:
  In this paper, a pore-scale network modeling method, based on the flow
continuity residual in conjunction with a Newton-Raphson non-linear iterative
solving technique, is proposed and used to obtain the pressure and flow fields
in a network of interconnected distensible ducts representing, for instance,
blood vasculature or deformable porous media. A previously derived analytical
expression correlating boundary pressures to volumetric flow rate in compliant
tubes for a pressure-area constitutive elastic relation has been used to
represent the underlying flow model. Comparison to a preceding equivalent
method, the one-dimensional Navier-Stokes finite element, was made and the
results were analyzed. The advantages of the new method have been highlighted
and practical computational issues, related mainly to the rate and speed of
convergence, have been discussed.


title: Orthogonality relations for Al-Salam--Carlitz polynomials of type II

abstract:
  Using a special case of Askey's $q$-beta integral evaluation formula, we
determine orthogonality relations for the Al-Salam--Carlitz polynomials of type
II with respect to a family of measures supported on a discrete subset of
$\mathbb R$. From spectral analysis of the corresponding second-order
$q$-difference operator we obtain an infinite set of functions that complement
the Al-Salam--Carlitz II polynomials to an orthogonal basis of the associated
$L^2$-space.


title:
Combination of measurements of the top-quark pair production cross
  section from the Tevatron Collider

abstract:
  We combine six measurements of the inclusive top-quark pair (ttbar)
production cross section (sigma_ttbar) from data collected with the CDF and D0
detectors at the Fermilab Tevatron with proton anti-proton collisions at
sqrt{s} = 1.96 TeV. The data correspond to integrated luminosities of up to 8.8
fb^{-1}. We obtain a value of sigma_ttbar = 7.60 \pm 0.41 pb for a top-quark
mass of m_t=172.5 GeV. The contributions to the uncertainty are 0.20 pb from
statistical sources, 0.29 pb from systematic sources, and 0.21 pb from the
uncertainty on the integrated luminosity. The result is in good agreement with
the standard model expectation of 7.35^{+0.28}_{-0.33} pb at NNLO+NNLL in
pertubative QCD.


title:
Planetary influence on the young Sun's evolution: the solar neutrino
  probe

abstract:
  Recent observations of solar twin stars with planetary systems like the Sun,
have uncovered that these present a peculiar surface chemical composition. This
is believed to be related to the formation of earth-like planets. This suggests
that twin stars have a radiative interior that is richer in heavy elements than
their envelopes. Moreover, the current standard solar model does not fully
agree with the helioseismology data and solar neutrino flux measurements. In
this work, we find that this agreement can improve if the Sun has mass loss
during the pre-main sequence, as was previously shown by other groups. Despite
this better agreement, the internal composition of the Sun is still uncertain,
especially for elements heavier than helium. With the goal of inferring the
chemical abundance of the solar interior, we tested several chemical
compositions. We found that heavy element abundances influence the sound speed
and solar neutrinos equally. Nevertheless, the carbon-nitrogen-oxygen (CNO;13N,
15O and 17F) neutrino fluxes are the most affected; this is due to the fact
that contrarily to proton-proton (pp, pep, 8B and 7Be) neutrino fluxes, the CNO
neutrino fluxes are less dependent on the total luminosity of the star.
Furthermore, if the central solar metallicity increases by 30%, as hinted by
the solar twin stars observations, this new solar model predicts that 13N, 15O
and 17F neutrino fluxes increase by 25%-80% relative to the standard solar
model. Finally, we highlight that the next generation of solar neutrino
experiments will not only put constraints on the abundances of carbon, oxygen
and nitrogen, but will also give some information about their radial
distribution.