title: Calderon Reproducing Formulas and Applications to Hardy Spaces

abstract:
  We establish new Calder\'{o}n reproducing formulas for self-adjoint operators
$D$ that generate strongly continuous groups with finite propagation speed.
These formulas allow the analysing function to interact with $D$ through
holomorphic functional calculus whilst the synthesising function interacts with
$D$ through functional calculus based on the Fourier transform. We apply these
to prove the embedding $H^p_D(\wedge T^*M) \subseteq L^p(\wedge T^*M)$, $1\leq
p\leq 2$, for the Hardy spaces of differential forms introduced by Auscher,
McIntosh and Russ, where $D=d+d^*$ is the Hodge--Dirac operator on a complete
Riemannian manifold $M$ that has polynomial volume growth. This fills a gap in
that work. The new reproducing formulas also allow us to obtain an atomic
characterisation of $H^1_D(\wedge T^*M)$. The embedding $H^p_L \subseteq L^p$,
$1\leq p\leq 2$, where $L$ is either a divergence form elliptic operator on
$\R^n$, or a nonnegative self-adjoint operator that satisfies Davies--Gaffney
estimates on a doubling metric measure space, is also established in the case
when the semigroup generated by the adjoint $-L^*$ is ultracontractive.


title:
Electrical current and coupled electron-nuclear spin dynamics in double
  quantum dots

abstract:
  We examine electronic transport in a spin-blockaded double quantum dot. We
show that by tuning the strength of the spin-orbit interaction the current
flowing through the double dot exhibits a dip at zero magnetic field or a peak
at a magnetic field for which the two-electron energy levels anticross. This
behaviour is due to the dependence of the singlet-triplet mixing on the field
and spin-orbit amplitude. We derive approximate expressions for the current as
a function of the amplitudes of the states involved in the transport. We also
consider an alternative model that takes into account a finite number of
nuclear spins and study the resulting coupled dynamics between electron and
nuclear spins. We show that if the spin ensemble is in a thermal state there
are regular oscillations in the transient current followed by quasi-chaotic
revivals akin to those seen in a thermal Jaynes-Cummings model.


title:
Extreme values for characteristic radii of a Poisson-Voronoi
  tessellation

abstract:
  A homogeneous Poisson-Voronoi tessellation of intensity $\gamma$ is observed
in a convex body $W$. We associate to each cell of the tessellation two
characteristic radii: the inradius, i.e. the radius of the largest ball
centered at the nucleus and included in the cell, and the circumscribed radius,
i.e. the radius of the smallest ball centered at the nucleus and containing the
cell. We investigate the maximum and minimum of these two radii over all cells
with nucleus in $W$. We prove that when $\gamma\rightarrow\infty$, these four
quantities converge to Gumbel or Weibull distributions up to a rescaling.
Moreover, the contribution of boundary cells is shown to be negligible. Such
approach is motivated by the analysis of the global regularity of the
tessellation. In particular, consequences of our study include the convergence
to the simplex shape of the cell with smallest circumscribed radius and an
upper-bound for the Hausdorff distance between $W$ and its so-called
Poisson-Voronoi approximation.


title: Magnetic dephasing in mesoscopic spin glasses

abstract:
  We have measured Universal Conductance Fluctuations in the metallic spin
glass Ag:Mn as a function of temperature and magnetic field. From this
measurement, we can access the phase coherence time of the electrons in the
spin glass. We show that this phase coherence time increases with both the
inverse of the temperature and the magnetic field. From this we deduce that
decoherence mechanisms are still active even deep in the spin glass phase.


title: Veronese Varieties over Fields with non-zero Characteristic: A Survey

abstract:
  In the present survey we collect some recent results on nuclei of Veronese
varieties and invariant subspaces of normal rational curves. We must assume,
however, that the ground field is not "too small", since otherwise a Veronese
variety is like dust: "few points" in some "high-dimensional" space.


title:
Comparison of two analysis methods for nuclear reaction measurements of
  12C +12C interactions at 95 MeV/u for hadrontherapy

abstract:
  During therapeutic treatment with heavier ions like carbon, the beam
undergoes nuclear fragmentation and secondary light charged particles, in
particular protons and alpha particles, are produced. To estimate the dose
deposited into the tumors and the surrounding healthy tissues, the accuracy
must be higher than ($\pm$3% and$\pm$1 mm). Therefore, measurements are
performed to determine the double differential cross section for different
reactions. In this paper, the analysis of data from 12C +12C reactions at 95
MeV/u are presented. The emitted particles are detected with
\DeltaEthin-\DeltaEthick-E telescopes made of a stack of two silicon detectors
and a CsI crystal. Two different methods are used to identify the particles.
One is based on graphical cuts onto the \DeltaE-E maps, the second is based on
the so-called KaliVeda method using a functional description of \DeltaE versus
E. The results of the two methods will be presented in this paper as well as
the comparison between both.


title: On automorphisms of flag spaces

abstract:
  We show that the automorphisms of the flag space associated with a
3-dimensional projective space can be characterized as bijections preserving a
certain binary relation on the set of flags in both directions. From this we
derive that there are no other automorphisms of the flag space than those
coming from collineations and dualities of the underlying projective space.
Further, for a commutative ground field, we discuss the corresponding flag
variety and characterize its group of automorphic collineations.


title:
The cluster index of regularly varying sequences with applications to
  limit theory for functions of multivariate Markov chains

abstract:
  We introduce the cluster index of a multivariate regularly varying stationary
sequence and characterize the index in terms of the spectral tail process. This
index plays a major role in limit theory for partial sums of regularly varying
sequences. We illustrate the use of the cluster index by characterizing
infinite variance stable limit distributions and precise large deviation
results for sums of multivariate functions acting on a stationary Markov chain
under a drift condition.


title: Hypercyclic operators and rotated orbits with polynomial phases

abstract:
  An important result of Le\'on-Saavedra and M\"uller says that the rotations
of hypercyclic operators remain hypercyclic. We provide extensions of this
result for orbits of operators which are rotated by unimodular complex numbers
with polynomial phases. On the other hand, we show that this fails for
unimodular complex numbers whose phases grow to infinity too quickly, say at a
geometric rate. A further consequence of our work is a notable strengthening of
a result due to Shkarin which concerns variants of Le\'on-Saavedra and
M\"uller's result in a non-linear setting.


title: The Dual of a Chain Geometry

abstract:
  We introduce and discuss the dual of a chain geometry. Each chain geometry is
canonically isomorphic to its dual. This allows us to show that there are
isomorphisms of chain geometries that arise from antiisomorphisms of the
underlying rings.


title: Jordan homomorphisms and harmonic mappings

abstract:
  We show that each Jordan homomorphism $R\to R'$ of rings gives rise to a
harmonic mapping of one connected component of the projective line over $R$
into the projective line over $R'$. If there is more than one connected
component then this mapping can be extended in various ways to a harmonic
mapping which is defined on the entire projective line over $R$.


title: Altitudes of a Tetrahedron and Traceless Quadratic Forms

abstract:
  It is well known that the three altitudes of a triangle are concurrent at the
so-called orthocenter of the triangle. So one might expect that the altitudes
of a tetrahedron also meet at a point. However, it was already pointed out in
1827 by the Swiss geometer Jakob Steiner (1796--1863) that the altitudes of a
general tetrahedron are mutually skew, for they are generators of an
equilateral hyperboloid.


title: On bijections that preserve complementarity of subspaces

abstract:
  The set $G$ of all $m$-dimensional subspaces of a $2m$-dimensional vector
space $V$ is endowed with two relations, complementarity and adjacency. We
consider bijections from $G$ onto $G'$, where $G'$ arises from a
$2m'$-dimensional vector space $V'$. If such a bijection $\phi$ and its inverse
leave one of the relations from above invariant, then also the other. In case
$m\geq 2$ this yields that $\phi$ is induced by a semilinear bijection from $V$
or from the dual space of $V$ onto $V'$. As far as possible, we include also
the infinite-dimensional case into our considerations.


title:
Radical parallelism on projective lines and non-linear models of affine
  spaces

abstract:
  We introduce and investigate an equivalence relation called "radical
parallelism" on the projective line over a ring. It is closely related with the
Jacobson radical of the underlying ring. As an application, we present a rather
general approach to non-linear models of affine spaces and discuss some
particular examples.


title:
CP violation in the models of fermion localization on a domain wall
  (brane)

abstract:
  A brief survey of fermion localization mechanism on a domain wall ("thick
brane") generated by a topologically nontrivial vacuum configuration of scalar
fields is given. The extension of scalar fields interaction with fermions which
supplies fermions with an axial mass is proposed. For several flavors and
generations of fermions this extension can entail the Cabibbo-Kobayashi-Maskawa
matrix of the Standard Model. As well the model with two scalar doublets which
provide a supplementary CP violation mechanism is considered.


title: On the data processing theorem in the semi-deterministic setting

abstract:
  Data processing lower bounds on the expected distortion are derived in the
finite-alphabet semi-deterministic setting, where the source produces a
deterministic, individual sequence, but the channel model is probabilistic, and
the decoder is subjected to various kinds of limitations, e.g., decoders
implementable by finite-state machines, with or without counters, and with or
without a restriction of common reconstruction with high probability. Some of
our bounds are given in terms of the Lempel-Ziv complexity of the source
sequence or the reproduction sequence. We also demonstrate how some analogous
results can be obtained for classes of linear encoders and linear decoders in
the continuous alphabet case.


title: Symbol calculus on a projective space

abstract:
  In this article, we introduce symbol calculus on a projective scheme. Using
holomorphic Poisson structures, we construct deformations of ring structures
for structure sheaves on projective spaces.


title: The Total Irregularity of Graphs under Graph Operations

abstract:
  The total irregularity of a graph $G$ is defined as $\irr_t(G)=1/2 \sum_{u,v
\in V(G)}$ $|d_G(u)-d_G(v)|$, where $d_G(u)$ denotes the degree of a vertex $u
\in V(G)$. In this paper we give (sharp) upper bounds on the total irregularity
of graphs under several graph operations including join, lexicographic product,
Cartesian product, strong product, direct product, corona product, disjunction
and symmetric difference.


title:
Entanglement distillation for continuous-variables under a thermal
  environment: Effectiveness of a non-Gaussian operation

abstract:
  We study the task of distilling entanglement by a coherent superposition
operation $t\hat{a}+r\hat{a}^\dagger$ applied to a continuous-variable state
under a thermal noise. In particular, we compare the performances of two
different strategies, i.e., the non-Gaussian operation
$t\hat{a}+r\hat{a}^\dagger$ is applied before or after the noisy Gaussian
channel. This is closely related to a fundamental problem of whether Gaussian
or non-Gaussian entanglement can be more robust under a noisy channel and also
provides a useful insight into the practical implementation of entanglement
distribution for a long-distance quantum communication. We specifically look
into two entanglement characteristics, the logarithmic negativity as a measure
of entanglement and the teleportation fidelity as a usefulness of entanglement,
for each distilled state. We find that the non-Gaussian operation after
(before) the thermal noise becomes more effective in the low (high) temperature
regime.


title:
Quasineutral limit of the Euler-Poisson equation for a cold,
  ion-acoustic plasma

abstract:
  In this paper, we consider the quasineutral limit of the Euler-Poisson
equation for a clod, ion-acoustic plasma when the Debye length tends to zero.
When the ion-acoustic plasma is cold, the Euler-Poisson equation is
pressureless and hence fails to be Friedrich symmetrisable, which excludes the
application of the classical energy estimates method. This brings new
difficulties in proving uniform estimates independent of $\varepsilon$. The
main novelty in this article is to introduce new $\varepsilon$-weighted norms
of the unknowns and to combine energy estimates in different levels with
weights depending on $\varepsilon$. Finally, that the quasineutral regimes are
the incompressible Euler equations is proven for well prepared initial data.


title: Evasive Properties of Sparse Graphs and Some Linear Equations in Primes

abstract:
  We give an unconditional version of a conditional, on the Extended Riemann
Hypothesis, result of L. Babai, A. Banerjee, R. Kulkarni and V. Naik (2010) on
the evasiveness of sparse graphs.


title: Fractional Non-Linear, Linear and Sublinear Death Processes

abstract:
  This paper is devoted to the study of a fractional version of non-linear
$\mathpzc{M}^\nu(t)$, $t>0$, linear $M^\nu (t)$, $t>0$ and sublinear
$\mathfrak{M}^\nu (t)$, $t>0$ death processes. Fractionality is introduced by
replacing the usual integer-order derivative in the difference-differential
equations governing the state probabilities, with the fractional derivative
understood in the sense of Dzhrbashyan--Caputo. We derive explicitly the state
probabilities of the three death processes and examine the related probability
generating functions and mean values. A useful subordination relation is also
proved, allowing us to express the death processes as compositions of their
classical counterparts with the random time process $T_{2 \nu} (t)$, $t>0$.
This random time has one-dimensional distribution which is the folded solution
to a Cauchy problem of the fractional diffusion equation.


title:
Fluctuation dynamo amplified by intermittent shear bursts in
  convectively driven magnetohydrodynamic turbulence

abstract:
  Intermittent large-scale high-shear flows are found to occur frequently and
spontaneously in direct numerical simulations of statistically stationary
turbulent Boussinesq magnetohydrodynamic (MHD) convection. The energetic
steady-state of the system is sustained by convective driving of the velocity
field and small-scale dynamo action. The intermittent emergence of flow
structures with strong velocity and magnetic shearing generates magnetic energy
at an elevated rate over time-scales longer than the characteristic time of the
large-scale convective motion. The resilience of magnetic energy amplification
suggests that intermittent shear-bursts are a significant driver of dynamo
action in turbulent magnetoconvection.


title:
The metallicity - redshift relations for emission-line SDSS galaxies:
  examination of the dependence on the star formation rate

abstract:
  We analyse the oxygen abundance and specific star formation rates (sSFR)
variations with redshift in star-forming SDSS galaxies of different masses. We
find that the maximum value of the sSFR, sSFRmax, decreases when the stellar
mass, Ms, of a galaxy increases, and decreases with decreasing of redshift. The
sSFRmax can exceed the time-averaged sSFR by about an order of magnitude for
massive galaxies. The metallicity - redshift relations for subsamples of
galaxies with sSFR = sSFRmax and with sSFR = 0.1sSFRmax coincide for massive
(log(Ms/Mo) > 10.5, with stellar mass Ms in solar units) galaxies and differ
for low-mass galaxies. This suggests that there is no correlation between
oxygen abundance and sSFR in massive galaxies and that the oxygen abundance
correlates with the sSFR in low-mass galaxies. We find evidence in favour of
that the irregular galaxies show, on average, higher sSFR and lower oxygen
abundances than the spiral galaxies of similar masses and that the mass -
metallicity relation for spiral galaxies differs slightly from that for
irregular galaxies. The fact that our sample of low-mass galaxies is the
mixture of spiral and irregular galaxies can be responsible for the dependence
of the metallicity - redshift relation on the sSFR observed for the low-mass
SDSS galaxies. The mass - metallicity and luminosity - metallicity relations
obtained for irregular SDSS galaxies agree with corresponding relations for
nearby irregular galaxies with direct abundance determinations. We find that
the aperture effect does not make a significant contribution to the redshift
variation of oxygen abundances in SDSS galaxies.


title: Time Dependent Quantum Transport Through Graphene Nanoribbons

abstract:
  Time-dependent quantum transport for graphene nanoribbons (GNR) are
calculated by the hierarchical equation of motion (HEOM) method based on the
nonequilibrium Green's function (NEGF) theory (Xie et.al, J. Chem. Phys. 137,
044113, 2012). In this paper, a new steady state calculation technique is
introduced and accelerated by the contour integration, which is suitable for
large systems. Three Lorentzian fitting schemes for the self-energy matrices
are developed based on the nonlinear least square method. Within these schemes,
the number of Lorentzians is effectively reduced and the fitting results are
good and convergent. With these two developments in HEOM, we have calculated
the transient currents in GNR. We find a new type of edge state with
delta-function-like density of states in many semi-infinite armchair-type GNR.


title:
Brightness Control in Dynamic Range Constrained Visible Light OFDM
  Systems

abstract:
  Visible light communication (VLC) systems can provide illumination and
communication simultaneously via light emitting diodes (LEDs). Orthogonal
frequency division multiplexing (OFDM) waveforms transmitted in a VLC system
will have high peak-to-average power ratios (PAPRs). Since the transmitting LED
is dynamic-range limited, OFDM signal has to be scaled and biased to avoid
nonlinear distortion. Brightness control is an essential feature for the
illumination function. In this paper, we will analyze the performance of
dynamic range constrained visible light OFDM systems with biasing adjustment
and pulse width modulation (PWM) methods. We will investigate the trade-off
between duty cycle and forward ratio of PWM and find the optimum forward ratio
to maximize the achievable ergodic rates.


title: The algebra and model theory of tame valued fields

abstract:
  A henselian valued field $K$ is called a tame field if its algebraic closure
$\tilde{K}$ is a tame extension, that is, the ramification field of the normal
extension $\tilde{K}|K$ is algebraically closed. Every algebraically maximal
Kaplansky field is a tame field, but not conversely. We develop the algebraic
theory of tame fields and then prove Ax--Kochen--Ershov Principles for tame
fields. This leads to model completeness and completeness results relative to
value group and residue field. As the maximal immediate extensions of tame
fields will in general not be unique, the proofs have to use much deeper
valuation theoretical results than those for other classes of valued fields
which have already been shown to satisfy Ax--Kochen--Ershov Principles. The
results of this paper have been applied to gain insight in the Zariski space of
places of an algebraic function field, and in the model theory of large fields.


title:
Proper motions of molecular hydrogen outflows in the Rho Ophiuchi
  molecular cloud

abstract:
  We aim to take a census of molecular hydrogen emission line objects (MHOs) in
the Rho Ophiuchi molecular cloud and to make the first systematic proper motion
measurements of these objects in this region. Deep H2 near-infrared imaging is
performed to search for molecular hydrogen emission line objects. Multi-epoch
data are used to derive the proper motions of the features of these objects,
and the lengths and opening angles of the molecular hydrogen outflows. Our
imaging covers an area of about 0.11 deg2 toward the L1688 core in the Rho
Ophiuchi molecular cloud. In total, six new MHOs are discovered, 32 previously
known MHOs are detected, and the proper motions for 86 features of the MHOs are
measured. The proper motions lie in the range of 14 to 247 mas/yr,
corresponding to transversal velocities of 8 to 140 km s-1 with a median
velocity of about 35 km s-1. Based on morphology and proper motion
measurements, 27 MHOs are ascribed to 21 driving sources. The molecular
hydrogen outflows have a median length of about 0.04 pc and random
orientations. We find no obvious correlation between H2 jet length, jet opening
angle, and the evolutionary stage of the driving sources as defined by their
spectral indices. We find that the fraction of protostars (23%) that drive
molecular hydrogen outflows is similar to the one for Class II sources (15%).
For most molecular hydrogen outflows, no obvious velocity variation along the
outflow has been found. In Ophiuchus the frequency of occurrence of molecular
hydrogen outflows has no strong dependency on the evolutionary stage of the
driving source during the evolution from the protostellar stage to the
classical T Tauri stage.


title:
A common generalization of metric, ultrametric and topological fixed
  point theorems - alternative version

abstract:
  We present a general fixed point theorem which can be seen as the
quintessence of the principles of proof for Banach's Fixed Point Theorem,
ultrametric and certain topological fixed point theorems. It works in a minimal
setting, not involving any metrics. We demonstrate its applications to the
metric, ultrametric and topological cases, and to ordered abelian groups and
fields.


title:
Axiumbilic Singular Points on Surfaces Immersed in R4 and their Generic
  Bifurcations

abstract:
  Here are described the axiumbilic points that appear in generic one parameter
families of surfaces immersed in R4. At these points the ellipse of curvature
of the immersion, Little, Garcia - Sotomayor has equal axes.
  A review is made on the basic preliminaries on axial curvature lines and the
associated axiumbilic points which are the singularities of the fields of
principal, mean axial lines}, axial crossings and the quartic differential
equation defining them.
  The Lie-Cartan vector field suspension of the quartic differential equation,
giving a line field tangent to the Lie-Cartan surface (in the projective bundle
of the source immersed surface which quadruply covers a punctured neighborhood
of the axiumbilic point) whose integral curves project regularly on the lines
of axial curvature.
  In an appropriate Monge chart the configurations of the generic axiumbilic
points, denoted by E3, E4 and E5, are obtained by studying the integral curves
of the Lie-Cartan vector field.
  Elementary bifurcation theory is applied to the study of the transition and
elimination between the axiumbilic generic points. The two generic patterns
E^1_{34} and E^1_{45} are analysed and their axial configurations are explained
in terms of their qualitative changes (bifurcations) with one parameter in the
space of immersions, focusing on their close analogy with the saddle-node
bifurcation for vector fields in the plane .
  This work can be regarded as a partial extension to R4 of the umbilic
bifurcations in Garcia - Gutierrez - Sotomayor for surfaces in R3. With less
restrictive differentiability hypotheses and distinct methodology it has points
of contact with the results of Gutierrez - Guinez - Castaneda.


title:
Defects of Algebraic Function Fields, Completion Defects and Defect
  Quotients

abstract:
  The {\it defect} (also called {\it ramification deficiency}) of valued field
extensions is a major stumbling block in deep open problems of valuation theory
in positive characteristic. For a detailed analysis, we define and investigate
two weaker notions of defect: the {\it completion defect} and the {\it defect
quotient}. We define them for finite extensions as well as for certain valued
function fields (those with "Abhyankar valuations" that are nontrivial on the
ground field). We investigate both defects and present analogues of the results
that hold for the usual defect.


title:
Gas and dust cooling along the major axis of M33 (HerM33es): ISO/LWS CII
  observations

abstract:
  We aim to better understand the heating of the gas by observing the prominent
gas cooling line [CII] at 158um in the low-metallicity environment of the Local
Group spiral galaxy M33 at scales of 280pc. In particular, we aim at describing
the variation of the photoelectric heating efficiency with galactic
environment. In this unbiased study, we used ISO/LWS [CII] observations along
the major axis of M33, in combination with Herschel PACS and SPIRE continuum
maps, IRAM 30m CO 2-1 and VLA HI data to study the variation of velocity
integrated intensities. The ratio of [CII] emission over the far-infrared
continuum is used as a proxy for the heating efficiency, and models of
photon-dominated regions are used to study the local physical densities, FUV
radiation fields, and average column densities of the molecular clouds. The
heating efficiency stays constant at 0.8% in the inner 4.5kpc radius of the
galaxy where it starts to increase to reach values of ~3% in the outskirts at
about 6kpc radial distance. The rise of efficiency is explained in the
framework of PDR models by lowered volume densities and FUV fields, for optical
extinctions of only a few magnitudes at constant metallicity. In view of the
significant fraction of HI emission stemming from PDRs, and for typical
pressures found in the Galactic cold neutral medium (CNM) traced by HI
emission, the CNM contributes ~15% to the observed [CII] emission in the inner
2kpc radius of M33. The CNM contribution remains largely undetermined in the
south, while positions between 2 and 7.3kpc radial distance in the north of M33
show a contribution of ~40%+-20%.


title: The relative approximation degree in valued function fields

abstract:
  We continue the work of Kaplansky on immediate valued field extensions and
determine special properties of elements in such extensions. In particular, we
are interested in the question when an immediate valued function field of
transcendence degree 1 is henselian rational (i.e., generated, modulo
henselization, by one element). If so, then wild ramification can be eliminated
in this valued function field. The results presented in this paper are crucial
for the first author's proof of henselian rationality over tame fields, which
in turn is used in his work on local uniformization.


title:
Embedding theorems for spaces of $\R$-places of rational function fields
  and their products

abstract:
  We study spaces $M(R(y))$ of $\R$-places of rational function fields $R(y)$
in one variable. For extensions $F|R$ of formally real fields, with $R$ real
closed and satisfying a natural condition, we find embeddings of $M(R(y))$ in
$M(F(y))$ and prove uniqueness results. Further, we study embeddings of
products of spaces of the form $M(F(y))$ in spaces of $\R$-places of rational
function fields in several variables. Our results uncover rather unexpected
obstacles to a positive solution of the open question whether the torus can be
realized as a space of $\R$-places.


title: Thermal 2-loop master spectral function at finite momentum

abstract:
  When considering NLO corrections to thermal particle production in the
"relativistic" regime, in which the invariant mass squared of the produced
particle is K^2 ~ (pi T)^2, then the production rate can be expressed as a sum
of a few universal "master" spectral functions. Taking the most complicated
2-loop master as an example, a general strategy for obtaining a convergent
2-dimensional integral representation is suggested. The analysis applies both
to bosonic and fermionic statistics, and shows that for this master the
non-relativistic approximation is only accurate for K^2 > (8 pi T)^2, whereas
the zero-momentum approximation works surprisingly well. Once the simpler
masters have been similarly resolved, NLO results for quantities such as the
right-handed neutrino production rate from a Standard Model plasma or the
dilepton production rate from a QCD plasma can be assembled for K^2 ~ (pi T)^2.


title:
Arithmetic Properties of Picard-Fuchs Equations and Holonomic
  Recurrences

abstract:
  The coefficient series of the holomorphic Picard-Fuchs differential equation
associated with the periods of elliptic curves often have surprising
number-theoretic properties. These have been widely studied in the case of the
torsion-free, genus zero congruence subgroups of index 6 and 12 (e.g. the
Beauville families). Here, we consider arithmetic properties of the
Picard-Fuchs solutions associated to general elliptic families, with a
particular focus on the index 24 congruence subgroups. We prove that elliptic
families with rational parameters admit linear reparametrizations such that
their associated Picard-Fuchs solutions lie in Z[[t]]. A sufficient condition
is given such that the same holds for holomorphic solutions at infinity. An
Atkin-Swinnerton-Dyer congruence is proven for the coefficient series attached
to \Gamma_1(7). We conclude with a consideration of asymptotics, wherein it is
proved that many coefficient series satisfy asymptotic expressions of the form
u_n \sim \ell \lambda^n/n. Certain arithmetic results extend to the study of
general holonomic recurrences.


title:
Statistical Mechanical Formulation and Simulation of Prime Factorization
  of Integers

abstract:
  We propose a new formulation of the problem of prime factorization of
integers. With replica exchange Monte Carlo simulation, the behavior which is
seemed to indicate exponential computational hardness is observed. But this
formulation is expected to give a new insight into the computational complexity
of this problem from a statistical mechanical point of view.


title:
An Introduction to Hyperbolic Barycentric Coordinates and their
  Applications

abstract:
  Barycentric coordinates are commonly used in Euclidean geometry. The
adaptation of barycentric coordinates for use in hyperbolic geometry gives rise
to hyperbolic barycentric coordinates, known as gyrobarycentric coordinates.
The aim of this article is to present the road from Einstein's velocity
addition law of relativistically admissible velocities to hyperbolic
barycentric coordinates along with applications.


title: Positive solutions of some nonlocal impulsive boundary value problem

abstract:
  We prove new results on the existence of positive solutions for some
impulsive differential equation subject to nonlocal boundary conditions. Our
boundary conditions involve an affine functional given by a Stieltjes integral.
These cover the well known multi-point boundary conditions that are studied by
various authors.


title:
Effective Capacity of Delay Constrained Cognitive Radio Links Exploiting
  Primary Feedback

abstract:
  In this paper, we analyze the performance of a secondary link in a cognitive
radio (CR) system operating under statistical quality of service (QoS) delay
constraints. In particular, we quantify analytically the performance
improvement for the secondary user (SU) when applying a feedback based sensing
scheme under the "SINR Interference" model. We leverage the concept of
effective capacity (EC) introduced earlier in the literature to quantify the
wireless link performance under delay constraints, in an attempt to
opportunistically support real-time applications. Towards this objective, we
study a two-link network, a single secondary link and a primary network
abstracted to a single primary link, with and without primary feedback
exploitation. We analytically prove that exploiting primary feedback at the
secondary transmitter improves the EC of the secondary user and decreases the
secondary user average transmitted power. Finally, we present numerical results
that support our analytical results.


title: On the Physical Explanation for Quantum Computational Speedup

abstract:
  The aim of this dissertation is to clarify the debate over the explanation of
quantum speedup and to submit a tentative resolution to it. In particular, I
argue that the physical explanation for quantum speedup is precisely the fact
that the phenomenon of quantum entanglement enables a quantum computer to fully
exploit the representational capacity of Hilbert space. This is impossible for
classical systems, joint states of which must always be representable as
product states.
  Chapter 2 begins with a discussion of the most popular of the candidate
physical explanations for quantum speedup: the many worlds explanation. I argue
that unlike the neo-Everettian interpretation of quantum mechanics it does not
have the conceptual resources required to overcome the `preferred basis
objection'. I further argue that the many worlds explanation, at best, can
serve as a good description of the physical process which takes place in
so-called network-based computation, but that it is incompatible with other
models of computation such as cluster state quantum computing. I next consider,
in Chapter 3, a common component of most other candidate explanations of
quantum speedup: quantum entanglement. I investigate whether entanglement can
be said to be a necessary component of any explanation for quantum speedup, and
I consider two major purported counter-examples to this claim. I argue that
neither of these, in fact, show that entanglement is unnecessary for speedup,
and that, on the contrary, we should conclude that it is. In Chapters 4 and 5 I
then ask whether entanglement can be said to be sufficient as well. In Chapter
4 I argue that despite a result that seems to indicate the contrary,
entanglement, considered as a resource, can be seen as sufficient to enable
quantum speedup. Finally, in Chapter 5 I argue that entanglement is sufficient
to explain quantum speedup as well.


title:
Connection Dynamics for Higher Dimensional Scalar-Tensor Theories of
  Gravity

abstract:
  The scalar-tensor theories of gravity in spacetime dimensions $D+1>2$ are
studied. By doing Hamiltonian analysis, we obtain the geometrical dynamics of
the theories from their Lagrangian. The Hamiltonian formalism indicates that
the theories are naturally divided into two sectors by the coupling parameter
$\omega$. The Hamiltonian structure in both sectors are similar to the
corresponding structure of 4-dimensional cases. It turns out that there is a
symplectic reduction from the canonical structure of $so(D+1)$ Yang-Mills
theories coupled to the scalar field to the canonical structure of the
geometrical scalar-tensor theories. Therefore the non-perturbative loop quantum
gravity techniques can also be applied to the scalar-tensor theories in $D+1$
dimensions based on their connection-dynamical formalism.


title: A Rule of Thumb for the Detectability of Gravitational-Wave Bursts

abstract:
  We derive a simple relationship between the energy emitted in gravitational
waves for a narrowband source and the distance to which that emission can be
detected by a single detector. We consider linearly polarized, elliptically
polarized, and unpolarized gravitational waves, and emission patterns
appropriate for each of these cases. We ignore cosmological effects.


title: An Analysis of Characteristics in Non-Linear Massive Gravity

abstract:
  We study the Cauchy problem in a special case of non-linear massive gravity:
the two-tensor "f-g" theory. Despite being ghost-free, it has recently been
argued that the theory is inherently problematic due to the existence of
superluminal shock waves. Furthermore it is claimed that acausal characteristic
can arise for any choice of background. In order to further understand the
causal structure of the theory, we carefully perform a detailed analysis of the
characteristic equations and show that the theory does admit a well-posed
Cauchy problem, i.e., there exist hypersurfaces that are not characteristic
hypersurface. Puzzles remain regarding the existence of a superluminal
propagating mode in both the f-g theory, as well as in the full non-linear
massive gravity. That is, our result should not be taken as any indication of
the healthiness of the theory. We also give a detailed review of
Cauchy-Kovalevskaya theorem and its application in the Appendix, which should
be useful for investigating causal structures of other theories of gravity.


title: Do wealth distributions follow power laws? Evidence from "rich lists"

abstract:
  We use data on wealth of the richest persons taken from the "rich lists"
provided by business magazines like Forbes to verify if upper tails of wealth
distributions follow, as often claimed, a power-law behaviour. The data sets
used cover the world's richest persons over 1996-2012, the richest Americans
over 1988-2012, the richest Chinese over 2006-2012 and the richest Russians
over 2004-2011. Using a recently introduced comprehensive empirical methodology
for detecting power laws, which allows for testing goodness of fit as well as
for comparing the power-law model with rival distributions, we find that a
power-law model is consistent with data only in 35% of the analysed data sets.
Moreover, even if wealth data are consistent with the power-law model, usually
they are also consistent with some rivals like the log-normal or stretched
exponential distributions.


title:
Search for a standard-model-like Higgs boson with a mass in the range
  145 to 1000 GeV at the LHC

abstract:
  A search for a standard-model-like Higgs boson in the H to WW and H to ZZ
decay channels is reported, for Higgs boson masses in the range 145 < m[H] <
1000 GeV. The search is based upon proton-proton collision data samples
corresponding to an integrated luminosity of up to 5.1 inverse femtobarns at
sqrt(s) = 7 TeV and up to 5.3 inverse femtobarns at sqrt(s) = 8 TeV, recorded
by the CMS experiment at the LHC. The combined upper limits at 95% confidence
level on products of the cross section and branching fractions exclude a
standard-model-like Higgs boson in the range 145 < m[H] < 710 GeV, thus
extending the mass region excluded by CMS from 127-600 GeV up to 710 GeV.


title: Ergodic Properties of $k$-Free Integers in Number Fields

abstract:
  Let $K/\mathbf Q$ be a degree $d$ extension. Inside the ring of integers
$\mathcal O_K$ we define the set of $k$-free integers $\mathcal F_k$ and a
natural $\mathcal O_K$-action on the space of binary $\mathcal O_K$-indexed
sequences, equipped with an $\mathcal O_K$-invariant probability measure
associated to $\mathcal F_k$. We prove that this action is ergodic, has pure
point spectrum and is isomorphic to a $\mathbf Z^d$-action on a compact abelian
group. In particular, it is not weakly mixing and has zero measure-theoretical
entropy. This work generalizes the paper by the first author and Sinai
arXiv:1112.4691 [math.DS] where $K=\mathbf Q$ and $k=2$.


title:
Experimental study of the effect of disorder on subcritical crack growth
  dynamics

abstract:
  The growth dynamics of a single crack in a heterogeneous material under
subcritical loading is an intermittent process; and many features of this
dynamics have been shown to agree with simple models of thermally activated
rupture. In order to better understand the role of material heterogeneities in
this process, we study the subcritical propagation of a crack in a sheet of
paper in the presence of a distribution of small defects such as holes. The
experimental data obtained for two different distributions of holes are
discussed in the light of models that predict the slowing down of crack growth
when the disorder in the material is increased; however, in contradiction with
these theoretical predictions, the experiments result in longer lasting cracks
in a more ordered scenario. We argue that this effect is specific to
subcritical crack dynamics and that the weakest zones between holes at close
distance to each other are responsible both for the acceleration of the crack
dynamics and the slightly different roughness of the crack path.


title: Analytical contradictions of the 'fixed - node' density matrices

abstract:
  Over the last decades the 'fixed-node method' has been used for a numerical
treatment of thermodynamic properties of strongly correlated Fermi systems. In
this work correctness of the 'fixed -node method' for ideal Fermi systems has
been analytically analyzed. It is shown that the 'fixed-node' prescription of
calculation of the density matrix leads to contradictions even for two ideal
fermions. The main conclusion of this work is that the 'fixed-node method' can
not reproduce the fermion density matrices and should be considered as
uncontrolled empirical approach in treatment of thermodynamics of Fermi
systems.


title: Causal interpretation of stochastic differential equations

abstract:
  We give a causal interpretation of stochastic differential equations (SDEs)
by defining the postintervention SDE resulting from an intervention in an SDE.
We show that under Lipschitz conditions, the solution to the postintervention
SDE is equal to a uniform limit in probability of postintervention structural
equation models based on the Euler scheme of the original SDE, thus relating
our definition to mainstream causal concepts. We prove that when the driving
noise in the SDE is a L\'evy process, the postintervention distribution is
identifiable from the generator of the SDE.


title: A State Polytope Decomposition Formula

abstract:
  We give a decomposition formula for computing the state polytope of a
reducible variety in terms of the state polytopes of its components.


title: A Categorification of Hall Algebras

abstract:
  In recent years, there has been great interest in the study of
categorification, specifically as it applies to the theory of quantum groups.
In this thesis, we would like to provide a new approach to this problem by
looking at Hall algebras. It is know, due to Ringel, that a Hall algebra is
isomorphic to a certain quantum group. It is our goal to describe a
categorification of Hall algebras as a way of doing so for their related
quantum groups. To do this, we will take the following steps. First, we
describe a new perspective on the structure theory of Hall algebras. This view
solves, in a unique way, the classic problem of the multiplication and
comultiplication not being compatible. Our solution is to switch to a different
underlying category $\Vect^K$ of vector spaces graded by a group $K$ called the
Grothendieck group. We equip this category with a nontrivial braiding which
depends on the $K$-grading. With this braiding and a given antipode, we find
that the Hall algebra does become a Hopf algebra object in $\Vect^K$. Second,
we will describe a categorification process, call `groupoidification', which
replaces vector spaces with groupoids and linear operators with `spans' of
groupoids. We will use this process to construct a braided monoidal bicategory
which categorifies $\Vect^K$ via the groupoidification program. Specifically,
graded vector spaces will be replaced with groupoids `over' a fixed groupoid
related to the Grothendieck group $K$. The braiding structure will come from an
interesting groupoid $\EXT(M,N)$ which will behave like the Euler
characteristic for the Grothendieck group $K$. We will finish with a
description of our plan to, in future work, apply the same concept to the
structure maps of the Hall algebra, which will eventually give us a Hopf
2-algebra object in our braided monoidal bicategory.


title: Note on the emergence of cosmic space in modified gravities

abstract:
  Intrigued by the holographic principle, Padmanabhan recently proposed a novel
idea, saying that our cosmic space is emergent as cosmic time progresses. In
particular, the expansion rate of the Universe is related to the difference
between the surface degrees of freedom on the holographic horizon and the bulk
degrees of freedom inside. In this note, we generalize this interesting
paradigm to brane world, scalar-tensor gravity, and f(R) theory, respectively,
and find that in the cosmological setting the Friedmann equations can be
successfully derived.


title: Some Constructions of Divisible Designs from Laguerre Geometries

abstract:
  In the nineties, A.G. Spera introduced a construction principle for divisible
designs. Using this method, we get series of divisible designs from finite
Laguerre geometries. We show a close connection between some of these divisible
designs and divisible designs whose construction was based on a conic in a
plane of a 3-dimensional projective space.


title:
Grading by Category: A simple method for providing students with
  meaningful feedback on exams in large courses

abstract:
  Many instructors choose to assess their students using open-ended written
exam items that require students to show their understanding of physics by
solving a problem and/or explaining a concept. Grading these items is fairly
time consuming, and in large courses time constraints prohibit providing
significant individualized feedback on students' exams. Instructors typically
cross out areas of the response that are incorrect and write the total points
awarded or subtracted. Sometimes, instructors will also write a word or two to
indicate the error. This paper describes a grading method that provides greater
individualized feedback, clearly communicates to students expected performance
levels, takes no more time than traditional grading methods for open-ended
responses, and seems to encourage more students to take advantage of the
feedback provided.


title: A Three-Dimensional Laguerre Geometry and Its Visualization

abstract:
  We describe and visualize the chains of the 3-dimensional chain geometry over
the ring $R(\epsilon)$, $\epsilon^3=0$


title:
On the axiomatics of projective and affine geometry in terms of line
  intersection

abstract:
  By providing explicit definitions, we show that in both affine and projective
geometry of dimension $\geq 3$, considered as first-order theories axiomatized
in terms of lines as the only variables, and the binary line-intersection
predicate as primitive notion, non-intersection of two lines can be positively
defined in terms of line-intersection.


title: Cayley's surface revisited

abstract:
  Cayley's (ruled cubic) surface carries a three-parameter family of twisted
cubics. We describe the contact of higher order and the dual contact of higher
order for these curves and show that there are three exceptional cases.


title: On distant-isomorphisms of projective lines

abstract:
  We determine all distant-isomorphisms between projective lines over semilocal
rings. In particular, for those semisimple rings that do not have a simple
component which is isomorphic to a field, every distant isomorphism arises from
a Jordan isomorphism of rings and a projectivity. We show this by virtue of a
one-one correspondence linking the projective line over a semisimple ring with
a Segre product of Grassmann spaces.


title:
Homeomorphisms of Banach spaces over non-Archimedean fields with
  products of fields

abstract:
  The article is devoted to topological homeomorphisms of Banach spaces over
complete non-Archimedean normed infinite fields with products of copies of the
fields.


title: Transformations on the product of Grassmann spaces

abstract:
  We describe all adjacency preserving bijections of certain products of
Grassmann spaces.


abstract:
  Skew idempotent functionals of ordered semirings are studied. Different
associative and non-associative semirings are considered. Theorems about
properties of skew idempotent functionals are proved. Examples are given.


title: Isometries and Collineations of the Cayley Surface

abstract:
  Let $F$ be Cayley's ruled cubic surface in a projective three-space over any
commutative field $K$. We determine all collineations fixing $F$, as a set, and
all cubic forms defining $F$. For both problems the cases $|K|=2,3$ turn out to
be exceptional. On the other hand, if $|K|\geq 4$ then the set of simple points
of $F$ can be endowed with a non-symmetric distance function. We describe the
corresponding circles, and we establish that each isometry extends to a unique
projective collineation of the ambient space.


title: The Betten-Walker spread and Cayley's ruled cubic surface

abstract:
  We establish that, over certain ground fields, the set of osculating tangents
of Cayley's ruled cubic surface gives rise to a (maximal partial) spread which
is also a dual (maximal partial) spread. It is precisely the Betten-Walker
spreads that allow for this construction. Every infinite Betten-Walker spread
is not an algebraic set of lines, but it turns into such a set by adding just
one pencil of lines.


title: From geometry to invertibility preservers

abstract:
  We characterize bijections on matrix spaces (operator algebras) preserving
full rank (invertibility) of differences of matrix (operator) pairs in both
directions.


title: Higher Order Contact on Cayley's Ruled Cubic Surface

abstract:
  It is well known that Cayley's ruled cubic surface carries a three-parameter
family of twisted cubics sharing a common point, with the same tangent and the
same osculating plane. We report on various results and open problems with
respect to contact of higher order and dual contact of higher order for these
curves.


title: Towards an axiomatic noncommutative geometry of quantum space and time

abstract:
  By exploring a possible physical realisation of the geometric concept of
noncommutative tangent bundle, we outline an axiomatic quantum picture of space
as topological manifold and time as a count of its reconfiguration events.


title: Optical Astronomical Facilities at Nainital, India

abstract:
  Aryabhatta Research Institute of Observational Sciences (acronym ARIES)
operates a 1-m aperture optical telescope at Manora Peak, Nainital since 1972.
Considering the need and potential of establishing moderate size optical
telescope with spectroscopic capability at the geographical longitude of India,
the ARIES plans to establish a 3.6m new technology optical telescope at a new
site called Devasthal. This telescope will have instruments providing high
resolution spectral and seeing-limited imaging capabilities at visible and
near-infrared bands. A few other observing facilities with very specific goals
are also being established. A 1.3m aperture optical telescope to monitor
optically variable sources was installed at Devasthal in the year 2010 and a
0.5-m wide field (25 square degrees) Baker-Nunn Schmidt telescope to produce a
digital map of the Northern sky at optical bands was installed at Manora Peak
in 2011. A 4-m liquid mirror telescope for deep sky survey of transient sources
is planned at Devasthal. These optical facilities with specialized back-end
instruments are expected to become operational within the next few years and
can be used to optical studies of a wide variety of astronomical topics
including follow-up studies of sources identified in the radio region by GMRT
and UV/X-ray by ASTROSAT.


title: Higher U(1)-gerbe connections in geometric prequantization

abstract:
  We promote geometric prequantization to higher geometry (higher stacks),
where a prequantization is given by a higher principal connection (a higher
gerbe with connection). We show fairly generally how there is canonically a
tower of higher gauge groupoids and Courant groupoids assigned to a higher
prequantization, and establish the corresponding Atiyah sequence as an
integrated Kostant-Souriau infinity-group extension of higher Hamiltonian
symplectomorphisms by higher quantomorphisms. We also exhibit the
infinity-group cocycle which classifies this extension and discuss how its
restrictions along Hamiltonian infinity-actions yield higher Heisenberg
cocycles. In the special case of higher differential geometry over smooth
manifolds we find the L-infinity-algebra extension of Hamiltonian vector fields
-- which is the higher Poisson bracket of local observables -- and show that it
is equivalent to the construction proposed by the second author in n-plectic
geometry. Finally we indicate a list of examples of applications of higher
prequantization in the extended geometric quantization of local quantum field
theories and specifically in string geometry.


title: An Application of Macaulay's Estimate to CR Geometry

abstract:
  Several questions in CR geometry lead naturally to the study of bihomogeneous
polynomials $r(z,\bar{z})$ on $\C^n \times \C^n$ for which
$r(z,\bar{z})\norm{z}^{2d}=\norm{h(z)}^2$ for some natural number $d$ and a
holomorphic polynomial mapping $h=(h_1,..., h_K)$ from $\C^n$ to $\C^K$. When
$r$ has this property for some $d$, one seeks relationships between $d$, $K$,
and the signature and rank of the coefficient matrix of $r$. In this paper, we
reformulate this basic question as a question about the growth of the Hilbert
function of a homogeneous ideal in $\C[z_1,...,z_n]$ and apply a well-known
result of Macaulay to estimate some natural quantities.


title:
Self-accelerating cosmologies and hairy black holes in ghost-free
  bigravity and massive gravity

abstract:
  We present a survey of the known cosmological and black hole solutions in
ghost-free bigravity and massive gravity theories. These can be divided into
three classes. First, there are solutions with proportional metrics, which are
the same as in General Relativity with a cosmological term, which can be
positive, negative or zero. Secondly, for spherically symmetric systems, there
are solutions with non-bidiagonal metrics. The g-metric fulfills Einstein
equations with a positive cosmological term and a matter source, while the
f-metric is anti-de Sitter. The third class contains solutions with bidiagonal
metrics, and these can be quite complex. The time-dependent solutions describe
homogeneous (isotropic or anisotropic) cosmologies which show a late-time
self-acceleration or other types of behavior. The static solutions describe
black holes with a massive graviton hair, and also globally regular lumps of
energy. None of these are asymptotically flat. Including a matter source gives
rise to asymptotically flat solutions which exhibit the Vainshtein mechanism of
recovery of General Relativity in a finite region.


title: Examples of topological spaces with arbitrary cohomology jump loci

abstract:
  Given any subvariety of a complex torus defined over $\mathbb{Z}$ and any
positive integer $k$, we construct a finite CW complex $X$ such that the $k$-th
cohomology jump locus of $X$ is equal to the chosen subvariety, and the $i$-th
cohomology jump loci of $X$ are trivial for $i<k$.


title: Empirical Limits on the Russell Conjecture

abstract:
  The Russell Conjecture states that there is an unproven possibility of small
(<1 m) hollow heat-resistant objects (HoHOs) in Earth orbit or otherwise
present in the inner solar system or asteroid belt. While such objects are not
the current target of any ongoing searches, we can place stringent limits on
their presence using current optical and infrared surveys. The high albedo of
HoHOs partially compensates for their small size. As such, we find that no
HoHOs greater than 10 cm in radius to a distance of at least 30,000 km, by the
Air Force Space Surveillance System. Objects of that size in a stable orbit at
384,000 km (the Earth-Moon distance) may be detected and confirmed by more
infrequent, deeper sweeps of the same system. However, it remains possible for
undetected HoHOs to exist in near-Earth or Martian orbit. We discuss the
prospects of finding such HoHOs in the near future with new telescopes such as
LSST.


title:
ENA imaging near Planetary Bodies: Interaction between Plasma, Exosphere
  and Surface

abstract:
  Energetic Neutral Atom (ENA) imaging has been noticed as a powerful tool for
remote sensing the plasma-neutral interaction in space. Particularly, the
technique is used for investigation of space plasma near planetary bodies. Hear
we provide a short review of recent low-energy ENA observations (up to ~1 keV)
near Mars, Venus and the Moon.


title: On k-wise intersecting families of vertex sets in perfect matchings

abstract:
  We consider the following generalization of the seminal Erd\H{o}s-Ko-Rado
theorem, due to Frankl. For k>= 2, let F be a k-wise intersecting family of
r-subsets of an n element set X, i.e. any k sets in F have a nonempty
intersection. If r<= (k-1/k)n, then |F|<={n-1 \choose r-1}. We extend Frankl's
theorem in a graph-theoretic direction. For a graph G, and r>=1, let P^r(G) be
the family of all r-subsets of the vertex set of G such that every r-subset is
either an independent set or contains a maximum independent set. We will
consider k-wise intersecting subfamilies of this family for the graph M_n,
where M_n is the perfect matching on 2n vertices, and prove an analog of
Frankl's theorem. This result can also be considered as an extension of a
theorem of Bollob\'as and Leader for intersecting families of independent
vertex sets in M_n.


title: Compressive adaptive computational ghost imaging

abstract:
  Compressive sensing is considered a huge breakthrough in signal acquisition.
It allows recording an image consisting of $N^2$ pixels using much fewer than
$N^2$ measurements if it can be transformed to a basis where most pixels take
on negligibly small values. Standard compressive sensing techniques suffer from
the computational overhead needed to reconstruct an image with typical
computation times between hours and days and are thus not optimal for
applications in physics and spectroscopy. We demonstrate an adaptive
compressive sampling technique that performs measurements directly in a sparse
basis. It needs much fewer than $N^2$ measurements without any computational
overhead, so the result is available instantly.


title: Sensitivity of mixing times

abstract:
  In this note, we demonstrate an instance of bounded-degree graphs of size
$n$, for which the total variation mixing time for the random walk is decreased
by a factor of $\log n/ \log\log n$ if we multiply the edge-conductances by
bounded factors in a certain way.


title:
Semi classical modeling of isotropic Non-Heisenberg magnets for spin S=1
  and linear quadrupole excitation dynamics

abstract:
  In this paper, equations describing one-dimensional Non-Heisenberg model are
studied by use of generalized coherent states in real parameterization and then
dissipative spin wave equation for dipole and quadrupole branches is obtained
if there is a small linear excitation from the ground state. Finally, it is
shown that for such exchange-isotropy Hamiltonians, optical branch of spin wave
is non-dissipative.


title: The number of accessible paths in the hypercube

abstract:
  Motivated by an evolutionary biology question, we study the following
problem: we consider the hypercube $\{0,1\}^L$ where each node carries an
independent random variable uniformly distributed on $[0,1]$, except
$(1,1,\ldots,1)$ which carries the value $1$ and $(0,0,\ldots,0)$ which carries
the value $x\in[0,1]$. We study the number $\Theta$ of paths from vertex
$(0,0,\ldots,0)$ to the opposite vertex $(1,1,\ldots,1)$ along which the values
on the nodes form an increasing sequence. We show that if the value on
$(0,0,\ldots,0)$ is set to $x=X/L$ then $\Theta/L$ converges in law as
$L\to\infty$ to $\mathrm{e}^{-X}$ times the product of two standard independent
exponential variables. As a first step in the analysis, we study the same
question when the graph is that of a tree where the root has arity $L$, each
node at level 1 has arity $L-1$, \ldots, and the nodes at level $L-1$ have only
one offspring which are the leaves of the tree (all the leaves are assigned the
value 1, the root the value $x\in[0,1]$).


title: Finding a largest empty convex subset in space is W[1]-hard

abstract:
  We consider the following problem: Given a point set in space find a largest
subset that is in convex position and whose convex hull is empty. We show that
the (decision version of the) problem is W[1]-hard.


title:
Late-Time Circumstellar Interaction in a Spitzer Selected Sample of Type
  IIn Supernovae

abstract:
  Type IIn supernovae (SNe IIn) are a rare (< 10%) subclass of core-collapse
SNe that exhibit relatively narrow emission lines from a dense, pre-existing
circumstellar medium (CSM). In 2009, a warm Spitzer survey observed 30 SNe IIn
discovered in 2003 - 2008 and detected 10 SNe at distances out to 175 Mpc with
unreported late-time infrared emission, in some cases more than 5 years
post-discovery. For this single epoch of data, the warm-dust parameters suggest
the presence of a radiative heating source consisting of optical/X-ray emission
continuously generated by ongoing CSM interaction. Here we present
multi-wavelength follow-up observations of this sample of 10 SNe IIn and the
well-studied Type IIn SN 2010jl. A recent epoch of Spitzer observations reveals
ongoing mid-infrared emission from nine of the SNe in this sample. We also
detect three of the SNe in archival WISE data, in addition to SNe 1987A,
2004dj, and 2008iy. For at least five of the SNe in the sample, optical and/or
X-ray emission confirms the presence of radiative emission from ongoing CSM
interaction. The two Spitzer nondetections are consistent with the forward
shock overrunning and destroying the dust shell, a result that places upper
limits on the dust-shell size. The optical and infrared observations confirm
the radiative heating model and constrain a number of model parameters,
including progenitor mass-loss characteristics. All of the SNe in this sample
experienced an outburst on the order of tens to hundreds of years prior to the
SN explosion followed by periods of less intense mass loss. Although all
evidence points to massive progenitors, the variation in the data highlights
the diversity in SN IIn progenitor evolution. While these observations do not
identify a particular progenitor system, they demonstrate that future,
coordinated, multi-wavelength campaigns can constrain theoretical mass-loss
models.


title:
Seshadri constants via Okounkov functions and the
  Segre-Harbourne-Gimigliano-Hirschowitz Conjecture

abstract:
  In this note we relate the SHGH Conjecture to the rationality of one-point
Seshadri constants on blow ups of the projective plane, and explain how
rationality of Seshadri constants can be tested with the help of functions on
Newton--Okounkov bodies.


title: CLT for continuous random processes under approximations terms

abstract:
  We formulate and prove a new sufficient conditions for Central Limit
Theorem(CLT) in the space of continuous functions in the terms typical for the
approximation theory. We prove that the conditions for continuous CLT obtained
by N.C.Jain and M.B.Marcus are under some natural additional conditions
necessary. We provide also some examples in order to show the exactness of
obtained results and illustrate briefly the applications in the Monte-Carlo
method.


title: Vector Bosons Signals of Electroweak Symmetry Breaking

abstract:
  We study the physics potential of the 8 TeV LHC to discover signals of
extended gauge models or extra dimensional models whose low energy behavior is
well represented by an SU(2) x SU(2) x U(1) electroweak gauge structure. We
find that with a combined integrated luminosity of 40 fb^(-1), the first new
Kaluza-Klein mode of the W gauge boson can be discovered up to a mass of about
400 GeV, when produced in association with a Z boson.


title:
Proper holomorphic mappings, Bells formula and the Lu Qi-Keng problem on
  tetrablock

abstract:
  We consider a proper holomorphic map form D to G domains in C^n and show that
it induces a unitary isomorphism between the Bergman space A^2(G) and some
subspace of A^2(D). Using this isomorphism we construct orthogonal projection
onto that subspace and we derive Bells transformation formula for the Bergman
kernel under proper holomorphic mappings. As a consequence of the formula we
get that the tetrablock is not a Lu Qi-Keng domain.


title:
Theoretical formulation of finite-dimensional discrete phase spaces: II.
  On the uncertainty principle for Schwinger unitary operators

abstract:
  We introduce a self-consistent theoretical framework associated with the
Schwinger unitary operators whose basic mathematical rules embrace a new
uncertainty principle that generalizes and strengthens the Massar-Spindel
inequality. Among other remarkable virtues, this quantum-algebraic approach
exhibits a sound connection with the Wiener-Kinchin theorem for signal
processing, which permits us to determine an effective tighter bound that not
only imposes a new subtle set of restrictions upon the selective process of
signals and wavelets bases, but also represents an important complement for
property testing of unitary operators. Moreover, we establish a hierarchy of
tighter bounds, which interpolates between the tightest bound and the
Massar-Spindel inequality, as well as its respective link with the discrete
Weyl function and tomographic reconstructions of finite quantum states. We also
show how the Harper Hamiltonian and discrete Fourier operators can be combined
to construct finite ground states which yield the tightest bound of a given
finite-dimensional state vector space. Such results touch on some fundamental
questions inherent to quantum mechanics and their implications in quantum
information theory.


title: Virtual learning: possibilities and realization

abstract:
  The virtual learning in University Education is the learning which is
presented by set of integrated information and pedagogical technologies, in a
process of interaction between subjects and objects as the virtual educational
resources. This interaction characterize as the set of dialectically
interconnected fields of human activity (intellectual, emotional and
figurative, cultural, social). The virtual educational resources, possibility
of their adaptation to student subjectivity, and realization in the conditions
of University education are the main issues of this article.


title: Coloron Models and LHC Phenomenology

abstract:
  This talk discusses the possibility of new physics within the strong gauge
interactions, specifically the idea of an extended color gauge group that is
spontaneously broken to QCD. After a brief review of the literature, three of
our recent pieces of work on coloron phenomenology are summarized. First, some
key results on coloron production to NLO at hadron colliders are described.
Next, a method of using associated production of colorons and weak vector
bosons to better determine coloron couplings is discussed. Finally, a new model
that naturally realizes flavor physics is reviewed.


title: Quarkyonic Chiral Spirals in the Nambu-Jona-Lasinio Approach

abstract:
  We explore the inhomogeneous QCD phases at finite density and temperature
using a (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model in the large Nc limit
with an additional attractive tensor-tensor interaction channel. For single
modulated solutions, the problem reduces to solving the gap equation of a
Chiral Gross-Neveu (NJL2) theory, whose minimum solution is a periodic array of
chirally twisted kinks. At zero temperature, the minimum solution reduces to
the quarkyonic chiral spiral found in quarkyonic matter. The connection between
the quarkyonic matter and our (3+1)-dimensional NJL model is rooted on the fact
that the first reduces to (1+1)-dimensional QCD and the second to the NJL2
theory, both of which have continuous chiral symmetry and asymptotic freedom.
Our findings can be useful to obtain a reliable qualitative picture of the QCD
phase diagram and the location of the QCD critical point in the technically
challenging region of intermediate densities and temperatures.


title: Numerically finite hereditary categories with Serre duality

abstract:
  Let A be an abelian hereditary category with Serre duality. We provide a
classification of such categories up to derived equivalence under the
additional condition that the Grothendieck group modulo the radical of the
Euler form is a free abelian group of finite rank. Such categories are called
numerically finite, and this condition is satisfied by the category of coherent
sheaves on a smooth projective variety.


title: Higher Spin Gravity and Exact Holography

abstract:
  In this talk, we present some direct evidences of the Higher Spin/Vector
Model correspondence. There are two particular examples we would like to
address on. The first example concerns a constructive approach of four
dimensional higher spin theory from 3d O(N) vector model based on a bi-local
formulation. These bi-local fields are seen to give a bulk description of the
higher spin theory with extra dimension and interactions. The second example is
a similar AdS_3/CFT_2 duality put forward by Gaberdiel and Gopakumar.
Specifically, we are interested in black hole solutions carrying nonzero higher
spin charges. The partition function of the general hs[\lambda] higher spin
black hole is computed from the CFT side using the W_\infty[\lambda] symmetry
and we found a perfect agreement with the gravity result.


title: Fourth Quantization

abstract:
  In this paper we will analyse the creation of the multiverse. We will first
calculate the wave function for the multiverse using third quantization. Then
we will fourth quantize this theory. We will show that there is no single
vacuum state for this theory. Thus, we can end up with a multiverse, even after
starting from a vacuum state. This will be used as a possible explanation for
the creation of the multiverse. We also analyse the effect of interactions in
this fourth quantized theory.


title: Polar Decomposition of Mutual Information over Complex-Valued Channels

abstract:
  A polar decomposition of mutual information between a complex-valued
channel's input and output is proposed for a input whose amplitude and phase
are independent of each other. The mutual information is symmetrically
decomposed into three terms: an amplitude term, a phase term, and a cross term,
whereby the cross term is negligible at high signal-to-noise ratio. Theoretical
bounds of the amplitude and phase terms are derived for additive white Gaussian
noise channels with Gaussian inputs. This decomposition is then applied to the
recently proposed amplitude phase shift keying with product constellation
(product-APSK) inputs. It shows from an information theoretical perspective
that coded modulation schemes using product-APSK are able to outperform those
using conventional quadrature amplitude modulation (QAM), meanwhile maintain a
low complexity.


title:
Adiabatic quantum simulation with a segmented ion trap: Application to
  long-distance entanglement in quantum spin systems

abstract:
  We investigate theoretically systems of ions in segmented linear Paul traps
for the quantum simulation of quantum spin models with tunable interactions.
The scheme is entirely general and can be applied to the realization of
arbitrary spin-spin interactions. As a specific application we discuss in
detail the quantum simulation of models that exhibit long-distance entanglement
in the ground state. We show how tailoring of the axial trapping potential
allows for generating spin-spin coupling patterns that are suitable to create
long-distance entanglement. We discuss how suitable sequences of microwave
pulses can implement Trotter expansions and realize various kinds of effective
spin-spin interactions. The corresponding Hamiltonians can be varied on
adjustable time scales, thereby allowing the controlled adiabatic preparation
of their ground states.


title: Carnot Cycle at Finite Power: Attainability of Maximal Efficiency

abstract:
  We want to understand whether and to which extent the maximal (Carnot)
efficiency for heat engines can be reached at a finite power. To this end we
generalize the Carnot cycle so that it is not restricted to slow processes. We
show that for realistic (i.e. not purposefully-designed) engine-bath
interactions, the work-optimal engine performing the generalized cycle close to
the maximal efficiency has a long cycle time and hence vanishing power. This
aspect is shown to relate to the theory of computational complexity. A physical
manifestation of the same effect is the Levinthal's paradox in the protein
folding problem. The resolution of this paradox for realistic proteins allows
to construct engines that can extract at a finite power 40% of the maximally
possible work reaching 90% of the maximal efficiency. For purposefully designed
engine-bath interactions, the Carnot efficiency is achievable at a large power.


title:
Numerical determination of the optimal value of quantizer's segment
  threshold using quadratic spline functions

abstract:
  In this paper, an approximation of the optimal compressor function using the
quadratic spline functions has been presented. The coefficients of the
quadratic spline functions are determined by minimizing the mean-square error
(MSE). Based on the obtained approximative quadratic spline functions, the
design for companding quantizer for Gaussian source is done. The support region
of proposed companding quantizer is divided on segments of unequal size, where
the optimal value of segment threshold is numerically determined depending on
maximal value of the signal to quantization noise ratio (SQNR). It is shown
that by the companding quantizer proposed in this paper, the SQNR that is very
close to SQNR of nonlinear optimal companding quantizer is achieved.


title:
An alternative power spectrum of the resonance fluorescence of atomic
  systems

abstract:
  We adopt an open quantum systems perspective to calculate the power spectrum
associated with the electric field generated by an atomic dipole moment
undergoing resonant laser-driving. This spectrum has a similar shape to the
usual Mollow spectrum, but also has some distinct features. For sufficiently
strong laser driving, both spectra have a symmetric triplet structure with a
large central peak and two sidebands. However, the relative height of the
sidebands to the central peak differs in each case. The two spectra also behave
quite differently when the laser Rabi frequency is varied. Both spectra may be
of interest in high-precision experiments into the quantum physics of atomic
systems, especially artificial atoms.


title: Why Your IT Project Might Be Riskier Than You Think

abstract:
  Out-of-control information technology (IT) projects have ended the careers of
top managers, such as EADS CEO Noel Forgeard and Levi Strauss' CIO David
Bergen. Moreover, IT projects have brought down whole companies, like Kmart in
the US and Auto Windscreen in the UK. Software and other IT is now such an
integral part of most business processes and products that CEOs must know their
IT risks, which are typically substantial and overlooked. The analysis of a
sample of 1,471 IT projects showed that the average cost overrun was 27% - but
that figure masks a far more alarming 'fat tail' risk. Fully one in six of the
projects in the sample was a Black Swan, with a cost overrun of 200%, on
average, and a schedule overrun of almost 70%. This highlights the true pitfall
of IT change initiatives: It's not that they're particularly prone to high cost
overruns on average - it is that there are a disproportionate number of Black
Swans. By focusing on averages instead of the more damaging outliers, most
managers and consultants have been missing the real risk in doing IT. In
conclusion, the article outlines ideas as to what can be done to avoid Black
Swans.


title: Simple Models in Supersymmetric Quantum Mechanics on a Graph

abstract:
  We study some sorts of dimensionally-deconstructed models for supersymmetric
(Euclidean) quantum mechanics, or zero-dimensional field theory. In these
models, we assign bosonic and fermionic variables to vertices and edges of a
graph. We investigate a discrete version for the Gaussian model and the
Wess-Zumino-type model on a graph. The topological index as a multiple integral
is discussed on these models. In addition, we propose simple examples for
supersymmetric extensions of the Lee-Wick model and the Galileon model. A model
with two supersymmetries is also provided and generalization to `local'
supersymmtric models is examined.


title:
Improving Lower Bounds for the Quadratic Assignment Problem by applying
  a Distributed Dual Ascent Algorithm

abstract:
  The application of the Reformulation Linearization Technique (RLT) to the
Quadratic Assignment Problem (QAP) leads to a tight linear relaxation with huge
dimensions that is hard to solve. Previous works found in the literature show
that these relaxations combined with branch-and-bound algorithms belong to the
state-of-the-art of exact methods for the QAP. For the level 3 RLT (RLT3),
using this relaxation is prohibitive in conventional machines for instances
with more than 22 locations due to memory limitations. This paper presents a
distributed version of a dual ascent algorithm for the RLT3 QAP relaxation that
approximately solves it for instances with up to 30 locations for the first
time. Although, basically, the distributed algorithm has been implemented on
top of its sequential conterpart, some changes, which improved not only the
parallel performance but also the quality of solutions, were proposed here.
When compared to other lower bounding methods found in the literature, our
algorithm generates the best known lower bounds for 26 out of the 28 tested
instances, reaching the optimal solution in 18 of them.


title: The local radio-galaxy population at 20 GHz

abstract:
  We have made the first detailed study of the high-frequency radio-source
population in the local universe, using a sample of 202 radio sources from the
Australia Telescope 20 GHz (AT20G) survey identified with galaxies from the 6dF
Galaxy Survey (6dFGS). The AT20G-6dFGS galaxies have a median redshift of
z=0.058 and span a wide range in radio luminosity, allowing us to make the
first measurement of the local radio luminosity function at 20 GHz.
  Our sample includes some classical FR-1 and FR-2 radio galaxies, but most of
the AT20G-6dFGS galaxies host compact (FR-0) radio AGN which appear lack
extended radio emission even at lower frequencies. Most of these FR-0 sources
show no evidence for relativistic beaming, and the FR-0 class appears to be a
mixed population which includes young Compact Steep-Spectrum (CSS) and
Gigahertz-Peaked Spectrum (GPS) radio galaxies.
  We see a strong dichotomy in the Wide-field Infrared Survey Explorer (WISE)
mid-infrared colours of the host galaxies of FR-1 and FR-2 radio sources, with
the FR-1 systems found almost exclusively in WISE `early-type' galaxies and the
FR-2 radio sources in WISE `late-type' galaxies.
  The host galaxies of the flat- and steep-spectrum radio sources have a
similar distribution in both K--band luminosity and WISE colours, though
galaxies with flat-spectrum sources are more likely to show weak emission lines
in their optical spectra. We conclude that these flat-spectrum and
steep-spectrum radio sources mainly represent different stages in radio-galaxy
evolution, rather than beamed and unbeamed radio-source populations.


title:
On $q$-analogues of two-one formulas for multiple harmonic sums and
  multiple zeta star values

abstract:
  Recently, the present authors jointly with Tauraso found a family of binomial
identities for multiple harmonic sums (MHS) on strings $(\{2\}^a,c,\{2\}^b)$
that appeared to be useful for proving new congruences for MHS as well as new
relations for multiple zeta values. Very recently, Zhao generalized this set of
MHS identities to strings with repetitions of the above patterns and, as an
application, proved the two-one formula for multiple zeta star values
conjectured by Ohno and Zudilin. In this paper, we extend our approach to
$q$-binomial identities and prove $q$-analogues of two-one formulas for
multiple zeta star values.


title: An optimal problem for relative entropy

abstract:
  Relative entropy is an essential tool in quantum information theory. There
are so many problems which are related to relative entropy. In this article,
the optimal values which are defined by $\displaystyle\max_{U\in{U(\cX_{d})}}
S(U\rho{U^{\ast}}\parallel\sigma)$ and $\displaystyle\min_{U\in{U(\cX_{d})}}
S(U\rho{U^{\ast}}\parallel\sigma)$ for two positive definite operators
$\rho,\sigma\in{\textmd{Pd}(\cX)}$ are obtained. And the set of
$S(U\rho{U^{\ast}}\parallel\sigma)$ for every unitary operator $U$ is full of
the interval $[\displaystyle\min_{U\in{U(\cX_{d})}}
S(U\rho{U^{\ast}}\parallel\sigma),\displaystyle\max_{U\in{U(\cX_{d})}}
S(U\rho{U^{\ast}}\parallel\sigma)]$


title: Realization of Geometric Landau-Zener-St\"{u}ckelberg Interferometry

abstract:
  We report the first experimental realization of the geometric
Landau-Zener-St\"{u}ckelberg (LZS) interferometry proposed by [Phys. Rev. Lett.
107, 207002 (2011)] in a single trapped ion system. Different from a
conventional LZS interferometer, the interference fringes of our geometric
interferometer originate solely from geometric phase. We also observe the
robustness of the interference contrast against noise or fluctuation in the
experimental parameters. Our scheme can be applied to other complex systems
subject to relatively large errors in system control.


title:
Relations between ex falso, tertium non datur, and double negation
  elimination

abstract:
  We show which implicational relations hold between the three principles ex
falso sequitur quodlibet, tertium non datur, and double negation elimination,
on the basis of minimal logic.


title: Second order tunneling of two interacting bosons in a driven triple well

abstract:
  We investigate quantum tunneling of two repulsive bosons in a triple-well
potential subject to a high-frequency driving field. By means of the
multiple-time-scale asymptotic analysis, we evidence a far-resonant
strongly-interacting regime in which the selected coherent destruction of
tunneling can occur between the paired states and unpaired states, and the
dominant tunneling of the paired states is a second order process. Two Floquet
quasienergy bands of the both kinds of states are given analytically, where a
fine structure up to the second order corrections is displayed. The analytical
results are confirmed numerically based on the exact model, and may be
particularly relevant to controlling correlated tunneling in experiments.


title: On the diameter of total domination vertex critical graphs

abstract:
  In this paper, we consider various types of domination vertex critical
graphs, including total domination vertex critical graphs, independent
domination vertex critical graphs and connected domination vertex critical
graphs. We provide upper bounds on the diameter of them, two of which are
sharp.


title: Evolution of the domain topology in a ferroelectric

abstract:
  Topological materials, including topological insulators, magnets with
Skyrmions and ferroelectrics with topological vortices, have recently attracted
phenomenal attention in the materials science community. Complex patterns of
ferroelectric domains in hexagonal REMnO3 (RE: rare earths) turn out to be
associated with the macroscopic emergence of Z2xZ3 symmetry. The results of our
depth profiling of crystals with a self-poling tendency near surfaces reveal
that the partial dislocation (i.e., wall-wall) interaction, not the interaction
between vortices and antivortices, is primarily responsible for topological
condensation through the macroscopic breaking of the Z2-symmetry.


title:
Effect of interface phase transformations on diffusion and segregation
  in high-angle grain boundaries

abstract:
  Recent experimental measurements of Ag impurity diffusion in the {\Sigma}5
(310) grain boundary (GB) in Cu revealed an unusual non-Arrhenius behavior
suggestive of a possible structural transformation [Divinski et al., Phys. Rev.
B 85, 144104 (2012)]. On the other hand, atomistic computer simulations have
recently discovered phase transformations in high-angle GBs in metals [Frolov
et al., arXiv:1211.1756v2 (2013)]. In this paper we report on atomistic
simulations of Ag diffusion and segregation in two different structural phases
of the Cu {\Sigma}5 (310) GB which transform to each other with temperature.
The obtained excellent agreement with the experimental data validates the
hypothesis that the unusual diffusion behavior seen in the experiment was
caused by a phase transformation. The simulations also predict that the
low-temperature GB phase exhibits a monolayer segregation pattern while the
high-temperature phase features a bilayer segregation. Together, the
simulations and experiment provide the first convincing evidence for the
existence of structural phase transformations in high- angle metallic GBs and
demonstrate the possibility of their detection by GB diffusion measurements and
atomistic simulations.


title: Rotational Symmetry of Conical K\"ahler-Ricci Solitons

abstract:
  We show that expanding K\"ahler-Ricci solitons which have positive
holomorphic bisectional curvature and are asymptotic to K\"ahler cones at
infinity must be the U(n)-rotationally symmetric expanding solitons constructed
by Cao.


title:
Generalized Balanced Tournament Packings and Optimal Equitable Symbol
  Weight Codes for Power Line Communications

abstract:
  Generalized balance tournament packings (GBTPs) extend the concept of
generalized balanced tournament designs introduced by Lamken and Vanstone
(1989). In this paper, we establish the connection between GBTPs and a class of
codes called equitable symbol weight codes. The latter were recently
demonstrated to optimize the performance against narrowband noise in a general
coded modulation scheme for power line communications. By constructing classes
of GBTPs, we establish infinite families of optimal equitable symbol weight
codes with code lengths greater than alphabet size and whose narrowband noise
error-correcting capability to code length ratios do not diminish to zero as
the length grows.


title:
Nonlinear Model Reduction Based On The Finite Element Method With
  Interpolated Coefficients: Semilinear Parabolic Equations

abstract:
  For nonlinear reduced-order models, especially for those with non-polynomial
nonlinearities, the computational complexity still depends on the dimension of
the original dynamical system. As a result, the reduced-order model loses its
computational efficiency, which, however, is its the most significant
advantage. Nonlinear dimensional reduction methods, such as the discrete
empirical interpolation method, have been widely used to evaluate the nonlinear
terms at a low cost. But when the finite element method is utilized for the
spatial discretization, nonlinear snapshot generation requires inner products
to be fulfilled, which costs lots of off-line time. Numerical integrations are
also needed over elements sharing the selected interpolation points during the
simulation, which keeps on-line time high. In this paper, we extend the finite
element method with interpolated coefficients to nonlinear reduced-order
models. It approximates the nonlinear function in the reduced-order model by
its finite element interpolation, which makes coefficient matrices of the
nonlinear terms pre-computable and, thus, leads to great savings in the
computational efforts. Due to the separation of spatial and temporal variables
in the finite element interpolation, the discrete empirical interpolation
method can be directly applied on the nonlinear functions. Therefore, the main
computational hurdles when applying the discrete empirical interpolation method
in the finite element context are conquered. We also establish a rigorous
asymptotic error estimation, which shows that the proposed approach achieves
the same accuracy as that of the standard finite element method under certain
smoothness assumptions of the nonlinear functions. Several numerical tests are
presented to validate the proposed method and verify the theoretical results.


title: Dynamics of Special Points on Intermediate Jacobians

abstract:
  We prove some general density statements about the subgroup of invertible
points on intermediate jacobians; namely those points in the Abel-Jacobi image
of nullhomologous algebraic cycles on projective algebraic manifolds.


title: The Nucleon Spin Sum Rule

abstract:
  Definitions of orbital angular momentum based on Wigner distributions are
used as a framework to discuss the connection between the Ji definition of the
quark orbital angular momentum and that of Jaffe and Manohar. We find that the
difference between these two definitions can be interpreted as the change in
the quark orbital angular momentum due to final state interactions as it leaves
the target in a DIS experiment.


title:
Uniform Post Selection Inference for LAD Regression and Other
  Z-estimation problems

abstract:
  We develop uniformly valid confidence regions for regression coefficients in
a high-dimensional sparse median regression model with homoscedastic errors.
Our methods are based on a moment equation that is immunized against
non-regular estimation of the nuisance part of the median regression function
by using Neyman's orthogonalization. We establish that the resulting
instrumental median regression estimator of a target regression coefficient is
asymptotically normally distributed uniformly with respect to the underlying
sparse model and is semi-parametrically efficient. We also generalize our
method to a general non-smooth Z-estimation framework with the number of target
parameters $p_1$ being possibly much larger than the sample size $n$. We extend
Huber's results on asymptotic normality to this setting, demonstrating uniform
asymptotic normality of the proposed estimators over $p_1$-dimensional
rectangles, constructing simultaneous confidence bands on all of the $p_1$
target parameters, and establishing asymptotic validity of the bands uniformly
over underlying approximately sparse models.
  Keywords: Instrument; Post-selection inference; Sparsity; Neyman's Orthogonal
Score test; Uniformly valid inference; Z-estimation.


title: Fidelity of remote state preparation can be enhanced by local operation

abstract:
  Remote state preparation (RSP) is a quantum information protocol which allows
preparing a quantum state at a distant location with the help of a preshared
nonclassical resource state and a classical channel. The efficiency of
successfully doing this task can be represented by the RSP-fidelity of the
resource state. In this paper, we study the influence on the RSP-fidelity by
applying certain local operations on the resource state. We prove that
RSP-fidelity does not increase for any unital local operation. However, for
nonunital local operation, such as local amplitude damping channel, we find
that some resource states can be enhanced to increase the RSP-fidelity. We give
the optimal parameter of symmetric local amplitude damping channel for
enhancing Bell-diagonal resource states. In addition, we show RSP-fidelity can
suddenly change or even vanish at instant under local decoherence.


title:
Blister patterns and energy minimization in compressed thin films on
  compliant substrates

abstract:
  This paper is motivated by the complex blister patterns sometimes seen in
thin elastic films on thick, compliant substrates. These patterns are often
induced by an elastic misfit which compresses the film. Blistering permits the
film to expand locally, reducing the elastic energy of the system. It is
natural to ask: what is the minimum elastic energy achievable by blistering on
a fixed area fraction of the substrate? This is a variational problem involving
both the {\it elastic deformation} of the film and substrate and the {\it
geometry} of the blistered region. It involves three small parameters: the {\it
nondimensionalized thickness} of the film, the {\it compliance ratio} of the
film/substrate pair and the {\it mismatch strain}. In formulating the problem,
we use a small-slope (F\"oppl-von K\'arm\'an) approximation for the elastic
energy of the film, and a local approximation for the elastic energy of the
substrate.
  For a 1D version of the problem, we obtain "matching" upper and lower bounds
on the minimum energy, in the sense that both bounds have the same scaling
behavior with respect to the small parameters. For a 2D version of the problem,
our results are less complete. Our upper and lower bounds only "match" in their
scaling with respect to the nondimensionalized thickness, not in the dependence
on the compliance ratio and the mismatch strain. The upper bound considers a 2D
lattice of blisters, and uses ideas from the literature on the folding or
"crumpling" of a confined elastic sheet. Our main 2D result is that in a
certain parameter regime, the elastic energy of this lattice is significantly
lower than that of a few large blisters.


title: Strong chromatic index of k-degenerate graphs

abstract:
  A {\em strong edge coloring} of a graph $G$ is a proper edge coloring in
which every color class is an induced matching. The {\em strong chromatic
index} $\chiup_{s}'(G)$ of a graph $G$ is the minimum number of colors in a
strong edge coloring of $G$. In this note, we improve a result by D{\k e}bski
\etal [Strong chromatic index of sparse graphs, arXiv:1301.1992v1] and show
that the strong chromatic index of a $k$-degenerate graph $G$ is at most
$(4k-2) \cdot \Delta(G) - 2k^{2} + 1$. As a direct consequence, the strong
chromatic index of a $2$-degenerate graph $G$ is at most $6\Delta(G) - 7$,
which improves the upper bound $10\Delta(G) - 10$ by Chang and Narayanan
[Strong chromatic index of 2-degenerate graphs, J. Graph Theory 73 (2013) (2)
119--126]. For a special subclass of $2$-degenerate graphs, we obtain a better
upper bound, namely if $G$ is a graph such that all of its $3^{+}$-vertices
induce a forest, then $\chiup_{s}'(G) \leq 4 \Delta(G) -3$; as a corollary,
every minimally $2$-connected graph $G$ has strong chromatic index at most $4
\Delta(G) - 3$. Moreover, all the results in this note are best possible in
some sense.


title: The Effect of Composite Resonances on Higgs decay into two photons

abstract:
  In scenarios of strongly coupled electroweak symmetry breaking, heavy
composite particles of different spin and parity may arise and cause observable
effects on signals that appear at loop levels. The recently observed process of
Higgs to $\gamma \gamma$ at the LHC is one of such signals. We study the new
constraints that are imposed on composite models from $H\to \gamma\gamma$,
together with the existing constraints from the high precision electroweak
tests. We use an effective chiral Lagrangian to describe the effective theory
that contains the Standard Model spectrum and the extra composites below the
electroweak scale. Considering the effective theory cutoff at $\Lambda = 4\pi v
\sim 3 $ TeV, consistency with the $T$ and $S$ parameters and the newly
observed $H\to \gamma\gamma$ can be found for a rather restricted range of
masses of vector and axial-vector composites from $1.5$ TeV to $1.7$ TeV and
$1.8$ TeV to $1.9$ TeV, respectively, and only provided a non-standard kinetic
mixing between the $W^{3}$ and $B^{0}$ fields is included.


title: Shear viscosity of quark matter at finite temperature in magnetic fields

abstract:
  We have applied the Green-Kubo formula to investigate the shear viscosity in
the SU(2) light-flavor quark matter at finite temperature under the external
strong magnetic field e|B| ~ m^2_pi. For this purpose, we employ the
temperature-modified instanton model and the Schwinger method to induce the
magnetic field. The quark spectral function with the finite width motivated by
the instanton model is adopted to compute the shear viscosity. We find that
shear viscosity increases as temperature increases even beyond the transition
temperature T_0=170 MeV if temperature-dependent (TDP) model parameters is
used. On the other hand, with temperature-independent ones the shear viscosity
starts to drop when temperature goes beyond T_0. Although the magnetic field
reduces the shear viscosity in terms of the magnetic catalysis, its effects are
almost negligible in the chiral-restored phase even for very strong magnetic
field, e|B| ~ 10^20 gauss. We also compute the ratio of the shear viscosity and
entropy density eta/s. Our numerical results are well compatible with other
theoretical results for a wide temperature regions. We obtain the
parameterization of the temperature-dependent ratio from our numerical result
as eta/s=0.27-0.87/t+1.19/t^2-0.28/t^3 with t = T/T_0 for T=(100 ~ 350) MeV and
e|B|=0.


title:
Novel Bismaleimide Resin/Silsesquioxane and Titania Nanocomposites by
  the Sol-Gel Process: the Preparation, Morphology, Thermal and
  Thermo-mechanical Properties

abstract:
  Bismaleimide(BMI) resin/silsesquioxane or titania nanocomposites were
synthesized from bismaleimide resin and SiO3/2 or TiO2 via the sol-gel process
of N-{\gamma}-triethoxylsilylpropyl-maleamic acid (TESPMA) or
tetrabutyltitanate (Ti(OnBu)4, TBT), respectively, in the presence of the
AP-BMI prepolymers. These nanocomposite materials were characterized by FT-IR,
FE-SEM, TGA and DMA. It was found that the nano-scale SiO3/2 or TiO2 particles
were formed in the AP-BMI resin matrix and the average original particle size
of the dispersed phase in the nanocomposites was less than 100nm, but the
particle aggregates with bigger size existed. Obvious improvements of Tg and
the heat resistance of the AP-BMI resin were achieved by introduction of the
nano-sized SiO3/2 inorganic phase, and the modulus at high temperatures was
improved too. The incorporation of nano-scale TiO2 particles into the AP-BMI
resin improved the Tg of the polymer, but lowered the thermal resistance of the
material, and improved the modulus of the material at lower temperatures, but
lowered the modulus at higher temperatures.