title: Actively coupled optical waveguides

abstract:
  We consider light propagation through a pair of nonlinear optical waveguides
with absorption, placed in a medium with power gain. The active medium boosts
the in-phase component of the overlapping evanescent fields of the guides,
while the nonlinearity of the guides couples it to the damped out-of-phase
component creating a feedback loop. As a result, the structure exhibits stable
stationary and oscillatory regimes in a wide range of gain-loss ratios. We show
that the pair of actively-coupled ($\mathcal{AC}$) waveguides can act as a
stationary or integrate-and-fire comparator sensitive to tiny differences in
their input powers.


title:
Mass spectra in N=1 SQCD with additional colorless but flavored
  fields.II

abstract:
  This paper continues our previous study of similar theories in \cite{ch5}. We
also consider here the ${\cal N}=1$ SQCD-like theories with $SU(N_c)$ colors
(and their Seiberg's dual with $SU(N_F-N_c)$ dual colors) and $N_F$ flavors of
light quarks, and with $N_F^2$ additional colorless flavored fields $\Phi^j_i$,
but now with $N_F$ in the range $2N_c<N_F<3N_c$. The multiplicities of various
vacua and quark and gluino condensates in these vacua are found.
  The mass spectra of the direct and Seiberg's dual theories in various vacua
are calculated within the dynamical scenario which assumes that quarks in such
${\cal N}=1$ SQCD-like theories can be in two {\it standard} phases only. These
are either the HQ (heavy quark) phase where they are confined or the Higgs
phase. The word {\it standard} implies here also that, in such ${\cal N}=1$
theories without elementary colored adjoint scalars, no {\it additional}
parametrically light solitons (e.g. magnetic monopoles or dyons) are formed at
those scales where quarks decouple as heavy or are higgsed. Recall that this
scenario satisfies all those tests which were used as checks of the Seiberg
hypothesis about the equivalence of the direct and dual theories.
  The mass spectra of these direct and Seiberg's dual theories calculated
within this framework were found to be different, in general. These
parametrical differences of mass spectra of direct and dual theories show, in
particular, that all those tests, which were used as checks of the Seiberg
hypothesis about the equivalence of the direct and dual theories, although
necessary, may well be insufficient.
  Besides, the mass spectrum of the dual theory with $SU(N_F-N_c)$ colors and
$N_c+1<N_F<3N_c/2$ dual quark flavors was calculated.
  And finally, considered is the direct ${\cal N}=2$ SQCD with $SU(N_c)$ colors
and $N_c+1<N_F<3N_c/2$ flavors of light quarks...


title: Dipole-dipole induced global motion of Rydberg-dressed atom clouds

abstract:
  We consider two clouds of ground state alkali atoms in two distinct hyperfine
ground states. Each level is far off-resonantly coupled to a Rydberg state,
which leads to dressed ground states with a weak admixture of the Rydberg state
properties. Due to this admixture, for a proper choice of the Rydberg states,
the atoms experience resonant dipole-dipole interactions that induce mechanical
forces acting on all atoms within both clouds. This behavior is in contrast to
the dynamics predicted for bare dipole-dipole interactions between Rydberg
superatoms, where only a single atom per cloud is subject to dipole-dipole
induced motion [Phys. Rev. A {\bf 88} 012716 (2013)].


title: A Survey and Taxonomy of Graph Sampling

abstract:
  Graph sampling is a technique to pick a subset of vertices and/ or edges from
original graph. It has a wide spectrum of applications, e.g. survey hidden
population in sociology [54], visualize social graph [29], scale down Internet
AS graph [27], graph sparsification [8], etc. In some scenarios, the whole
graph is known and the purpose of sampling is to obtain a smaller graph. In
other scenarios, the graph is unknown and sampling is regarded as a way to
explore the graph. Commonly used techniques are Vertex Sampling, Edge Sampling
and Traversal Based Sampling. We provide a taxonomy of different graph sampling
objectives and graph sampling approaches. The relations between these
approaches are formally argued and a general framework to bridge theoretical
analysis and practical implementation is provided. Although being smaller in
size, sampled graphs may be similar to original graphs in some way. We are
particularly interested in what graph properties are preserved given a sampling
procedure. If some properties are preserved, we can estimate them on the
sampled graphs, which gives a way to construct efficient estimators. If one
algorithm relies on the perserved properties, we can expect that it gives
similar output on original and sampled graphs. This leads to a systematic way
to accelerate a class of graph algorithms. In this survey, we discuss both
classical text-book type properties and some advanced properties. The landscape
is tabularized and we see a lot of missing works in this field. Some
theoretical studies are collected in this survey and simple extensions are
made. Most previous numerical evaluation works come in an ad hoc fashion, i.e.
evaluate different type of graphs, different set of properties, and different
sampling algorithms. A systematical and neutral evaluation is needed to shed
light on further graph sampling studies.


title: Trefoil Plumbing

abstract:
  We give a criterion for an open book to contain an n-times iterated Hopf
plumbing summand. As an application, we show that fibre surfaces of positive
braid knots admit a trefoil plumbing structure.


title: Random triangular groups at density 1/3

abstract:
  Let \Gamma(n,p) denote the binomial model of a random triangular group. We
show that there exist constants c, C > 0 such that if p <= c/n^2, then a.a.s.
\Gamma(n,p) is free and if p >= C log n/n^2 then a.a.s. \Gamma(n,p) has
Kazhdan's property (T). Furthermore, we show that there exist constants C',c' >
0 such that if C'/n^2 <= p <= c' log n/n^2, then a.a.s. \Gamma(n,p) is neither
free nor has Kazhdan's property (T).


title:
Experimental Test of Error-Disturbance Uncertainty Relations by Weak
  Measurement

abstract:
  We experimentally test the error-disturbance uncertainty relation (EDR) in
generalized, strength-variable measurement of a single photon polarization
qubit, making use of weak measurement that keeps the initial signal state
practically unchanged. We demonstrate that Heisenberg's EDR is violated, yet
Ozawa's and Branciard's EDRs are valid throughout the range of our measurement
strength.


title:
Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous
  metric measure spaces

abstract:
  Let $({\mathcal X},\,d,\,\mu)$ be a metric measure space satisfying the upper
doubling condition and the geometrically doubling condition in the sense of T.
Hyt\"onen. In this paper, the authors prove that the $L^p(\mu)$ boundedness
with $p\in(1,\,\infty)$ of the Marcinkiewicz integral is equivalent to either
of its boundedness from $L^1(\mu)$ into $L^{1,\infty}(\mu)$ or from the atomic
Hardy space $H^1(\mu)$ into $L^1(\mu)$. Moreover, the authors show that, if the
Marcinkiewicz integral is bounded from $H^1(\mu)$ into $L^1(\mu)$, then it is
also bounded from $L^\infty(\mu)$ into the space ${\mathop\mathrm{RBLO}}(\mu)$
(the regularized {\rm BLO}), which is a proper subset of ${\rm RBMO}(\mu)$ (the
regularized {\rm BMO}) and, conversely, if the Marcinkiewicz integral is
bounded from $L_b^\infty(\mu)$ (the set of all $L^\infty(\mu)$ functions with
bounded support) into the space ${\rm RBMO}(\mu)$, then it is also bounded from
the finite atomic Hardy space $H_{\rm fin}^{1,\,\infty}(\mu)$ into $L^1(\mu)$.
These results essentially improve the known results even for non-doubling
measures.


title: Evidence for massive neutrinos from CMB and lensing observations

abstract:
  We discuss whether massive neutrinos (either active or sterile) can reconcile
some of the tensions within cosmological data that have been brought into focus
by the recently released {\it Planck} data. We point out that a discrepancy is
present when comparing the primary CMB and lensing measurements both from the
CMB and galaxy lensing data using CFHTLenS, similar to that which arises when
comparing CMB measurements and SZ cluster counts. A consistent picture emerges
and including a prior for the cluster constraints and BAOs we find that: for an
active neutrino model with 3 degenerate neutrinos, $\sum m_{\nu}= (0.320 \pm
0.081)\,{\rm eV}$, whereas for a sterile neutrino, in addition to 3 neutrinos
with a standard hierarchy and $\sum m_{\nu}= 0.06\,{\rm eV}$, $m_{\nu, \, \rm
sterile}^{\rm eff}= (0.450 \pm 0.124)\,{\rm eV}$ and $\Delta N_{\rm eff} = 0.45
\pm 0.23$. In both cases there is a significant detection of modification to
the neutrino sector from the standard model and in the case of the sterile
neutrino it is possible to reconcile the BAO and local $H_0$ measurements.
However, a caveat to our result is some internal tension between the CMB and
lensing/cluster observations, and the masses are in excess of those estimated
from the shape of the matter power spectrum from galaxy surveys.


title: Hardy spaces and heat kernel regularity

abstract:
  In this paper, we show the equivalence between the boundedness of the Riesz
transform $d\Delta^{-1/2}$ on $L^p$, $p\in (2,p_0)$, and the equality
$H^p=L^p$, $p\in(2,p_0)$, in the class of manifold whose measure is doubling
and for which the scaled Poincar\'{e} inequalities hold. Here, $H^p$ is a Hardy
space of exact $1-$forms, naturally associated with the Riesz transform.


title:
Reconstruction of complex-valued tensors in the Maxwell system from
  knowledge of internal magnetic fields

abstract:
  This paper concerns the reconstruction of a complex-valued anisotropic tensor
$\gamma=\sigma+\i\omega\varepsilon$ from knowledge of several internal magnetic
fields $H$, where $H$ satisfies the anisotropic Maxwell system on a bounded
domain with prescribed boundary conditions. We show that $\gamma$ can be
uniquely reconstructed with a loss of two derivatives from errors in the
acquisition of $H$. A minimum number of 6 such functionals is sufficient to
obtain a local reconstruction of $\gamma$. In the special case where $\gamma$
is close to a scalar tensor, boundary conditions are chosen by means of complex
geometric optics (CGO) solutions. For arbitrary symmetric tensors $\gamma$, a
Runge approximation property is used to obtain partial results. This problem
finds applications in the medical imaging modalities Current Density Imaging
and Magnetic Resonance Electrical Impedance Tomography.


title:
Computing 1-D atomic densities in macromolecular simulations: the
  Density Profile Tool for VMD

abstract:
  Molecular dynamics simulations have a prominent role in biophysics and drug
discovery due to the atomistic information they provide on the structure,
energetics and dynamics of biomolecules. Specialized software packages are
required to analyze simulated trajectories, either interactively or via
scripts, to derive quantities of interest and provide insight for further
experiments. This paper presents the Density Profile Tool, a package that
enhances the Visual Molecular Dynamics environment with the ability to
interactively compute and visualize 1-D projections of various density
functions of molecular models. We describe how the plugin is used to perform
computations both via a graphical interface and programmatically. Results are
presented for realistic examples, all-atom bilayer models, showing how mass and
electron densities readily provide measurements such as membrane thickness,
location of structural elements, and how they compare to X-ray diffraction
experiments.


title: Z Prime: A Story

abstract:
  This is an imaginary story that could come to pass involving a detector, a
Boson, and good resolution. It was written for Snowmass 2013, as a white paper
for the New Physics group. The story describes a scenario in which nature has
designated the existence of a Left-Right Symmetric Model Z' at a pole mass of 3
TeV, which is observed by analysers through the dilepton decay channel. Signal
and Background samples were generated for a proton-proton collider at
$\sqrt{s}$ = 14 TeV and $\sqrt{s}$ = 33 TeV, with enough events to represent a
dataset of up to 3000 fb$^{-1}$ for each centre of mass energy. These samples
were passed through the Delphes fast simulation framework to produce detector
reconstructed events. The story is played out from first hints to a well
established new discovery with plentiful data, and attempts to capture the
journey and excitement that this entails.


title:
Adaptive Metropolis Algorithm Using Variational Bayesian Adaptive Kalman
  Filter

abstract:
  Markov chain Monte Carlo (MCMC) methods are powerful computational tools for
analysis of complex statistical problems. However, their computational
efficiency is highly dependent on the chosen proposal distribution, which is
generally difficult to find. One way to solve this problem is to use adaptive
MCMC algorithms which automatically tune the statistics of a proposal
distribution during the MCMC run. A new adaptive MCMC algorithm, called the
variational Bayesian adaptive Metropolis (VBAM) algorithm, is developed. The
VBAM algorithm updates the proposal covariance matrix using the variational
Bayesian adaptive Kalman filter (VB-AKF). A strong law of large numbers for the
VBAM algorithm is proven. The empirical convergence results for three simulated
examples and for two real data examples are also provided.


title: Hierarchized block wise image approximation by greedy pursuit strategies

abstract:
  An approach for effective implementation of greedy selection methodologies,
to approximate an image partitioned into blocks, is proposed. The method is
specially designed for approximating partitions on a transformed image. It
evolves by selecting, at each iteration step, i) the elements for approximating
each of the blocks partitioning the image and ii) the hierarchized sequence in
which the blocks are approximated to reach the required global condition on
sparsity.


title:
Generalized Fractional Integrals and Their Commutators over
  Non-homogeneous Metric Measure Spaces

abstract:
  Let $({\mathcal X},d,\mu)$ be a metric measure space satisfying both the
upper doubling and the geometrically doubling conditions. In this paper, the
authors establish some equivalent characterizations for the boundedness of
fractional integrals over $({\mathcal X},d,\mu)$. The authors also prove that
multilinear commutators of fractional integrals with
${\mathop\mathrm{\,RBMO(\mu)}}$ functions are bounded on Orlicz spaces over
$({\mathcal X},d,\mu)$, which include Lebesgue spaces as special cases. The
weak type endpoint estimates for multilinear commutators of fractional
integrals with functions in the Orlicz-type space ${\mathrm{Osc}_{\exp
L^r}(\mu)}$, where $r\in [1,\infty)$, are also presented. Finally, all these
results are applied to a specific example of fractional integrals over
non-homogeneous metric measure spaces.


title:
Experimental realization of magnetic energy concentration and
  transmission at a distance by metamaterials

abstract:
  Controlling electromagnetic energy is essential for an efficient and
sustainable society. A key requirement is concentrating magnetic energy in a
desired volume of space in order to either extract the energy to produce work
or store it. Metamaterials have opened new possibilities for controlling
electromagnetic energy. Recently, a superconductor-ferromagnetic metamaterial
that allows unprecedented concentration and amplification of magnetic energy,
and also its transmission at distance through free space, has been devised
theoretically. Here we design and build an actual version of the
superconductor-ferromagnetic metamaterial and experimentally confirm these
properties. We show that also a ferromagnetic metamaterial, without
superconducting parts, can achieve concentration and transmission of energy
with only a slight decrease in the performance. Transmission of magnetic energy
at a distance by magnetic metamaterials may provide new ways of enhancing
wireless power transmission, where efficiency depends critically on the
magnetic coupling strength between source and receiver.


title: Classification of higher rank orbit closures in H^{odd}(4)

abstract:
  The moduli space of genus 3 translation surfaces with a single zero has two
connected components. We show that in the odd connected component H^{odd}(4)
the only GL^+(2,R) orbit closures are closed orbits, the Prym locus Q(3,-1^3),
and H^{odd}(4).
  Together with work of Matheus-Wright, this implies that there are only
finitely many non-arithmetic closed orbits (Teichmuller curves) in H^{odd}(4)
outside of the Prym locus.


title:
Constraints on very light sterile neutrinos from $\theta_{13}$-sensitive
  reactor experiments

abstract:
  Three dedicated reactor experiments, Double Chooz, RENO and Daya Bay, have
recently performed a precision measurement of the third standard mixing angle
$\theta_{13}$ exploiting a multiple baseline comparison of $\nu_e \to \nu_e$
disappearance driven by the atmospheric mass-squared splitting. In this paper
we show how the same technique can be used to put stringent limits on the
oscillations of the electron neutrino into a fourth very light sterile species
(VLS$\nu$) characterized by a mass-squared difference lying in the range
[$10^{-3} - 10^{-1}$] eV$^2$. We present accurate constraints on the admixture
$|U_{e4}|^2$ obtained by a 4-flavor analysis of the publicly available reactor
data. In addition, we show that the estimate of $\theta_{13}$ obtained by the
combination of the three reactor experiments is rather robust and substantially
independent of the 4-flavor-induced perturbations provided that the new
mass-squared splitting is not too low ($\gtrsim 6 \times 10^{-3}$ eV$^2$). We
briefly comment on the possible impact of VLS$\nu$'s on the rest of the
neutrino oscillation phenomenology and emphasize their potential role in the
cosmological "dark radiation" anomaly.


title:
Anomalous optical coupling between two silicon wires of a slot waveguide
  in epsilon-near-zero metamaterials

abstract:
  Anomalous optical coupling properties between two silicon wires in a silicon
slot waveguide embedded in epsilon-near-zero (ENZ) metamaterials are proposed
and demonstrated. The dependences of optical field enhancement in the slot
region and transverse optical force on the slot size and the permittivity of
surrounding material are studied in details. It is demonstrated that the
optical field in the slot region is significantly enhanced due to the giant
index contrast at the slot interface between silicon wires and ENZ
metamaterials, but the optical mode coupling between silicon wires is greatly
reduced so that the transverse optical force is suppressed into almost zero.
Moreover, metal-dielectric multilayer structures are designed to realize ENZ
metamaterials in the slot region for achieving the electric field enhancement.


title:
Existence of Nash Equilibrium Points for Markovian Nonzero-sum
  Stochastic Differential Games with Unbounded Coefficients

abstract:
  This paper is related to nonzero-sum stochastic differential games in the
Markovian framework. We show existence of a Nash equilibrium point for the game
when the drift is no longer bounded and only satisfies a linear growth
condition. The main tool is the notion of backward stochastic differential
equations which, in our case, are multidimensional with continuous coefficient
and stochastic linear growth.


title:
Classical scattering of charged particles confined on an inhomogeneous
  helix

abstract:
  We explore the effects arising due to the coupling of the center of mass and
relative motion of two charged particles confined on an inhomogeneous helix
with a locally modified radius. It is first proven that a separation of the
center of mass and the relative motion is provided if and only if the confining
manifold represents a homogeneous helix. In this case bound states of
repulsively Coulomb interacting particles occur. For an inhomogeneous helix,
the coupling of the center of mass and relative motion induces an energy
transfer between the collective and relative motion, leading to dissociation of
initially bound states in a scattering process. Due to the time reversal
symmetry, a binding of the particles out of the scattering continuum is thus
equally possible. We identify the regimes of dissociation for different initial
conditions and provide an analysis of the underlying phase space via Poincar\'e
surfaces of section. Bound states inside the inhomogeneity as well as resonant
states are identified.


title: Smooth Max-Information as One-Shot Generalization for Mutual Information

abstract:
  We study formal properties of smooth max-information, a generalization of von
Neumann mutual information derived from the max-relative entropy. Recent work
suggests that it is a useful quantity in one-shot channel coding, quantum rate
distortion theory and the physics of quantum many-body systems.
  Max-information can be defined in multiple ways. We demonstrate that
different smoothed definitions are essentially equivalent (up to logarithmic
terms in the smoothing parameters). These equivalence relations allow us to
derive new chain rules for the max-information in terms of min- and
max-entropies, thus extending the smooth entropy formalism to mutual
information.


title:
On the weight distributions of several classes of cyclic codes from APN
  monomials

abstract:
  Let $m\geq 3$ be an odd integer and $p$ be an odd prime. % with $p-1=2^rh$,
where $h$ is an odd integer.
  In this paper, many classes of three-weight cyclic codes over
$\mathbb{F}_{p}$ are presented via an examination of the condition for the
cyclic codes $\mathcal{C}_{(1,d)}$ and $\mathcal{C}_{(1,e)}$, which have
parity-check polynomials $m_1(x)m_d(x)$ and $m_1(x)m_e(x)$ respectively, to
have the same weight distribution, where $m_i(x)$ is the minimal polynomial of
$\pi^{-i}$ over $\mathbb{F}_{p}$ for a primitive element $\pi$ of
$\mathbb{F}_{p^m}$. %For $p=3$, the duals of five classes of the proposed
cyclic codes are optimal in the sense that they meet certain bounds on linear
codes. Furthermore, for $p\equiv 3 \pmod{4}$ and positive integers $e$ such
that there exist integers $k$ with $\gcd(m,k)=1$ and $\tau\in\{0,1,\cdots,
m-1\}$ satisfying $(p^k+1)\cdot e\equiv 2 p^{\tau}\pmod{p^m-1}$, the value
distributions of the two exponential sums $T(a,b)=\sum\limits_{x\in
\mathbb{F}_{p^m}}\omega^{\Tr(ax+bx^e)}$ and $ S(a,b,c)=\sum\limits_{x\in
\mathbb{F}_{p^m}}\omega^{\Tr(ax+bx^e+cx^s)}, $ where $s=(p^m-1)/2$, are
settled. As an application, the value distribution of $S(a,b,c)$ is utilized to
investigate the weight distribution of the cyclic codes $\mathcal{C}_{(1,e,s)}$
with parity-check polynomial $m_1(x)m_e(x)m_s(x)$. In the case of $p=3$ and
even $e$ satisfying the above condition, the duals of the cyclic codes
$\mathcal{C}_{(1,e,s)}$ have the optimal minimum distance.


title: Lessons from charm dynamics

abstract:
  We shall proceed to discuss the significance of charm dynamics in an era when
the Standard Model is well established in its degrees of freedom but little
understood in quite a few of its different parts. The study of decays and
asymmetries in the decays of mesons with charm quantum numbers provide us
possible insights into the yet uncharted dynamics of the Standard Model at the
GeV scale. We will discuss some interesting channels with hadrons and/or
leptons in the final state, the shortcomings of theoretical structures
currently advocated and future experimental prospects.


title: Clark theory in the Drury-Arveson space

abstract:
  We extend the basic elements of Clark's theory of rank-one perturbations of
backward shifts, to row-contractive operators associated to de Branges-Rovnyak
type spaces $\mathcal H(b)$ contractively contained in the Drury-Arveson space
on the unit ball in $\mathbb C^d$. The Aleksandrov-Clark measures on the circle
are replaced by a family of states on a certain noncommutative operator system,
and the backward shift is replaced by a canonical solution to the Gleason
problem in $\mathcal H(b)$. In addition we introduce the notion of a
"quasi-extreme" multiplier of the Drury-Arveson space and use it to
characterize those $\mathcal H(b)$ spaces that are invariant under
multiplication by the coordinate functions.


title: Jordan Geometries - an Approach by Inversions

abstract:
  Jordan geometries are defined as spaces equipped with point reflections
depending on triples of points, exchanging two of the points and fixing the
third. In a similar way, symmetric spaces have been defined by Loos (Symmetric
Spaces I, 1969) as spaces equipped with point reflections depending on a point
and fixing this point; therefore the theories of Jordan geometries and of
symmetric spaces are closely related to each other -- in order to describe this
link, the notion of symmetry actions of torsors and of symmetric spaces is
introduced. Jordan geometries give rise both to symmetry actions of certain
abelian torsors and of certain symmetric spaces, which in a sense are dual to
each other. By using an algebraic differential calculus generalizing the
classical Weil functors (see arxiv:1402.2619), we attach a tangent object to
such geometries, namely a Jordan pair, respectively a Jordan algebra. The
present approach works equally well over base rings in which 2 is not
invertible (and in particular over the integers), and hence can be seen as a
globalization of quadratic Jordan pairs; it also has a very transparent
relation with the theory of associative geometries developped by M. Kinyon and
the author.


title: Electromagnetic properties of spin-3/2 Majorana particles

abstract:
  The structure of the electromagnetic vertex function of spin-3/2 particles is
analyzed in a general way, for the diagonal and off-diagonal couplings, of
charged as well as neutral particles including the case of self-conjugate
(Majorana) particles. The restrictions imposed by common principles such as
electromagnetic gauge invariance and hermiticity are studied, and the
implications due to the discrete space-time symmetries or the Majorana
condition are deduced when they are applicable. In some cases certain features
of the vertex function are analogous to the known ones for the spin-1/2 or
spin-1 particles, but we find and discuss other particular properties which are
related to the spin-3/2 Rarita-Schwinger representation. For example, in the
diagonal Majorana case, the vertex function can contain a term of the form
$\gamma_\mu\gamma_5$, which resembles the axial charge radius term for Majorana
neutrinos, plus another one that resembles the vertex function for
self-conjugate spin-1 particles, but with the particularity that the two terms
may not appear independently of each other, but instead with a specific
relative coefficient. In essence this is due to the requirement that the vertex
function does not mix the genuine spin-3/2 degrees of freedom with the spurious
spin-1/2 components of the Rarita-Schwinger representation. The analogous
results for the other cases (off-diagonal and charged couplings) are discussed
as well.


title: The Riemann-Hilbert Correspondence for Algebraic Stacks

abstract:
  Using the theory infinity-categories we construct derived (dg-)categories of
regular, holonomic D-modules and algebraically constructible sheaves on a
complex smooth algebraic stack. We construct a natural infinity-categorical
equivalence between these two categories generalising the classical
Riemann-Hilbert correspondence.


title: Consistent Riccati Expansion and Solvability

abstract:
  A consistent Riccati expansion (CRE) is proposed for solving nonlinear
systems with the help of a Riccati equation. A system is defined to be CRE
solvable if it has a CRE. Various integrable systems are CRE solvable.
Furthermore, it is also revealed that many CRE solvable systems, including the
Korteweg de-Vries, Kadomtsev-Patviashvili, nonlinear Schr\"dinger and
sine-Gordon equations, possess a common determining equation which describes
interactions between a soliton and a cnoidal wave.


title:
Apar-T: code, validation, and physical interpretation of
  particle-in-cell results

abstract:
  We present the parallel particle-in-cell (PIC) code Apar-T and, more
importantly, address the fundamental question of the relations between the PIC
model, the Vlasov-Maxwell theory, and real plasmas.
  First, we present four validation tests: spectra from simulations of thermal
plasmas, linear growth rates of the relativistic tearing instability and of the
filamentation instability, and non-linear filamentation merging phase. For the
filamentation instability we show that the effective growth rates measured on
the total energy can differ by more than 50% from the linear cold predictions
and from the fastest modes of the simulation.
  Second, we detail a new method for initial loading of Maxwell-J\"uttner
particle distributions with relativistic bulk velocity and relativistic
temperature, and explain why the traditional method with individual particle
boosting fails.
  Third, we scrutinize the question of what description of physical plasmas is
obtained by PIC models. These models rely on two building blocks:
coarse-graining, i.e., grouping of the order of p~10^10 real particles into a
single computer superparticle, and field storage on a grid with its subsequent
finite superparticle size. We introduce the notion of coarse-graining dependent
quantities, i.e., quantities depending on p. They derive from the PIC plasma
parameter Lambda^{PIC}, which we show to scale as 1/p. We explore two
implications. One is that PIC collision- and fluctuation-induced thermalization
times are expected to scale with the number of superparticles per grid cell,
and thus to be a factor p~10^10 smaller than in real plasmas. The other is that
the level of electric field fluctuations scales as 1/Lambda^{PIC} ~ p. We
provide a corresponding exact expression.
  Fourth, we compare the Vlasov-Maxwell theory, which describes a phase-space
fluid with infinite Lambda, to the PIC model and its relatively small Lambda.


title: A new family of exactly solvable disordered reaction-diffusion systems

abstract:
  Using a matrix product method the steady-state of a family of disordered
reaction-diffusion systems consisting of different species of interacting
classical particles moving on a lattice with periodic boundary conditions is
studied. A new generalized quadratic algebra and its matrix representations is
introduced. The steady-states of two members of this exactly solvable family of
systems are studied in detail.


title: Andromeda Dwarfs in Light of MOND. II. Testing Prior Predictions

abstract:
  We employ recently published measurements of the velocity dispersions in the
newly discovered dwarf satellite galaxies of Andromeda to test our previously
published predictions of this quantity. The data are in good agreement with our
specific predictions for each dwarf made a priori with MOND, with reasonable
stellar mass-to-light ratios, and no dark matter, while Newtonian dynamics
point to quite large mass discrepancies in these systems. MOND distinguishes
between regimes where the internal field of the dwarf, or the external field of
the host, dominates. The data appear to recognize this distinction, which is a
unique feature of MOND not explicable in LCDM.


title: On the classification of critically fixed rational maps

abstract:
  We discuss the dynamical, topological, and algebraic classification of
rational maps $f$ of the Riemann sphere to itself each of whose critical points
$c$ is also a fixed-point of $f$, i.e. $f(c)=c$.


title: Proceedings Workshop on Fixed Points in Computer Science

abstract:
  This volume contains the proceedings of the Ninth Workshop on Fixed Points in
Computer Science which took place on the September 1st, 2013 in Torino, Italy
as a CSL-affiliated workshop. Past workshops have been held in Brno (1998,
MFCS/CSL workshop), Paris (2000, LC workshop), Florence (2001, PLI workshop),
Copenhagen (2002, LICS (FLoC) workshop), Warsaw (2003, ETAPS workshop), Coimbra
(2009, CSL workshop), Brno (2010, MFCS-CSL workshop), Tallinn (2012, CSL
workshop). Fixed points play a fundamental role in several areas of computer
science. They are used to justify (co)recursive definitions and associated
reasoning techniques. The construction and properties of fixed points have been
investigated in many different settings such as: design and implementation of
programming languages, logics, verification, databases. The aim of this
workshop is to provide a forum for researchers to present their results to
those members of the computer science and logic communities who study or apply
the theory of fixed points.


title: Direct detection and solar capture of spin-dependent dark matter

abstract:
  We investigate the implication of different spin-dependent (SD) operators on
both the direct and indirect detections of the Weakly Interacting Massive
Particle (WIMP). Six representative building blocks of SD operators, together
with their counterparts with a massless mediator are considered to interpret
the direct detection experiments(Xenon100, SIMPLE, and COUPP) in a
comprehensive way. We also study the solar capture and annihilation of WIMPs
with these effective SD operators and place the constraints on the relevant
annihilation rate from neutrino detection experiments Super-Kamionkande and
IceCube. Upper limits on the WIMP-nucleon couplings drawn from direct
detections are also projected to the annihilation rate for contrast and
complementarity. We find that the efficiency of these mentioned detection
strategies depends specifically on the six SD operators, while the
neutrino-based detections are more effective in exploring the parameter space
for the massless mediator scenario.


title: Singularities and holonomicity of binomial D-modules

abstract:
  We study binomial D-modules, which generalize A-hypergeometric systems. We
determine explicitly their singular loci and provide three characterizations of
their holonomicity. The first of these states that a binomial D-module is
holonomic if and only if its corresponding singular locus is proper. The second
characterization is an equivalence of holonomicity and L-holonomicity for these
systems. The third refines the second by giving more detailed information about
the L-characteristic variety of a non-holonomic binomial D-module.


title: Numerical approach to unbiased and driven generalized elastic model

abstract:
  From scaling arguments and numerical simulations, we investigate the
properties of the generalized elastic model (GEM), that is used to describe
various physical systems such as polymers, membranes, single-file systems, or
rough interfaces. We compare analytical and numerical results for the
subdiffusion exponent beta characterizing the growth of the mean squared
displacement <(delta h)^2> of the field h described by the GEM dynamic
equation. We study the scaling properties of the qth order moments <|delta
h|^q> with time, finding that the interface fluctuations show no intermittent
behavior. We also investigate the ergodic properties of the process h in terms
of the ergodicity breaking parameter and the distribution of the time averaged
mean squared displacement. Finally, we study numerically the driven GEM with a
constant, localized perturbation and extract the characteristics of the average
drift for a tagged probe.


title: Weinberg Angle and Integer Electric Charges of Quarks

abstract:
  Orthogonality between photon and Z boson involves the Weinberg angle and a
scheme for assignments of electric charge and weak isospin to leptons and
quarks coupling to photon and Z. The Han-Nambu scheme, with integer electric
charges for quarks, satisfies photon-Z orthogonality with sin^2(theta_W)= 0.25
in leading order. Experimental results for photon-photon fusion into
charm-anticharm and bottom-antibottom pairs provide further support for
assigning integer electric charges to quarks.


title: Torus equivariant D-modules and hypergeometric systems

abstract:
  We formalize, at the level of D-modules, the notion that A-hypergeometric
systems are equivariant versions of the classical hypergeometric equations. For
this purpose, we construct a functor on a suitable category of torus
equivariant D-modules and show that it preserves key properties, such as
holonomicity, regularity, and reducibility of monodromy representation. We also
examine its effect on solutions, characteristic varieties, and singular loci.
When applied to certain binomial D-modules, our functor produces saturations of
the classical hypergeometric differential equations, a fact that sheds new
light on the D-module theoretic properties of these classical systems.


title: Studying edge geometry in transiently turbulent shear flows

abstract:
  In linearly stable shear flows at moderate Re, turbulence spontaneously
decays despite the existence of a codimension-one manifold, termed the edge of
chaos, which separates decaying perturbations from those triggering turbulence.
We statistically analyse the decay in plane Couette flow, quantify the breaking
of self-sustaining feedback loops and demonstrate the existence of a whole
continuum of possible decay paths. Drawing parallels with low-dimensional
models and monitoring the location of the edge relative to decaying
trajectories we provide evidence, that the edge of chaos separates state space
not globally. It is instead wrapped around the turbulence generating structures
and not an independent dynamical structure but part of the chaotic saddle.
Thereby, decaying trajectories need not cross the edge, but circumnavigate it
while unwrapping from the turbulent saddle.


title:
Parametric Excitation of Internal Gravity Waves in Ocean and Atmosphere
  as Precursors of Strong Earthquakes and Tsunami

abstract:
  The condition of internal gravity waves (IGW) parametric excitation in the
rotating fluid layer heated from above, with the layer vibration along the
vertical axis or with periodic modulation in time of the vertical temperature
distribution, is obtained. We show the dual role of the molecular dissipative
effects that may lead not only to the wave oscillations damping, but also to
emergence of hydrodynamic dissipative instability (DI) in some frequency band
of IGW. This DI also may take place for the localized in horizontal plane
tornado-like disturbances, horizontal scale of which does not exceed the
character vertical scale for the fluid layer of the finite depth. Investigated
parametric resonance mechanism of IGW generation in ocean and atmosphere during
and before earthquakes allows monitoring of such waves (with double period with
respect to the period of vibration or temperature gradient modulation) as
precursors of these devastating phenomena.


title:
Spin-charge separation of plasmonic excitations in thin topological
  insulators

abstract:
  We discuss plasmonic excitations in a thin slab of a topological insulators.
In the limit of no hybridization of the surface states and same electronic
density of the two layers, the electrostatic coupling between the top and
bottom layers leads to optical and acoustic plasmons which are purely charge
and spin collective oscillations. We then argue that a recent experiment on the
plasmonic excitations of Bi2Se3 [Di Pietro et al, Nat. Nanotechnol. 8, 556
(2013)] must be explained by including the charge response of the
two-dimensional electron gas of the depletion layer underneath the two
surfaces. We also present an analytic formula to fit their data.


title:
Dissipative Preparation of Spatial Order in Rydberg-Dressed
  Bose-Einstein Condensates

abstract:
  We propose a technique for engineering momentum-dependent dissipation in
Bose-Einstein condensates with non-local interactions. The scheme relies on the
use of momentum-dependent dark-states in close analogy to velocity-selective
coherent population trapping. During the short-time dissipative dynamics, the
system is driven into a particular finite-momentum phonon mode, which in real
space corresponds to an ordered structure with non-local density-density
correlations. Dissipation-induced ordering can be observed and studied in
present-day experiments using cold atoms with dipole-dipole or off-resonant
Rydberg interactions. Due to its dissipative nature, the ordering does not
require artificial breaking of translational symmetry by an opticallattice or
harmonic trap. This opens up a perspective of direct cooling of quantum gases
into strongly-interacting phases.


title:
Biological effects and equivalent doses in radiotherapy: a software
  solution

abstract:
  The limits of TDF (time, dose, and fractionation) and linear quadratic models
have been known for a long time. Medical physicists and physicians are required
to provide fast and reliable interpretations regarding the delivered doses or
any future prescriptions relating to treatment changes. We therefore propose a
calculation interface under the GNU license to be used for equivalent doses,
biological doses, and normal tumor complication probability (Lyman model). The
methodology used draws from several sources: the linear-quadratic-linear model
of Astrahan, the repopulation effects of Dale, and the prediction of
multi-fractionated treatments of Thames. The results are obtained from an
algorithm that minimizes an ad-hoc cost function, and then compared to the
equivalent dose computed using standard calculators in seven French
radiotherapy centers.


title:
Systematic study of magnetic linear dichroism and birefringence in
  (Ga,Mn)As

abstract:
  Magnetic linear dichroism and birefringence in (Ga,Mn)As epitaxial layers is
investigated by measuring the polarization plane rotation of reflected linearly
polarized light when magnetization lies in the plane of the sample. We report
on the spectral dependence of the rotation and ellipticity angles in a broad
energy range of 0.12-2.7 eV for a series of optimized samples covering a wide
range on Mn-dopings and Curie temperatures and find a clear blue shift of the
dominant peak at energy exceeding the host material band gap. These results are
discussed in the general context of the GaAs host band structure and also
within the framework of the k.p and mean-field kinetic-exchange model of the
(Ga,Mn)As band structure. We find a semi-quantitative agreement between
experiment and theory and discuss the role of disorder-induced non-direct
transitions on magneto-optical properties of (Ga,Mn)As.


title: Single Photon Emission from Site-Controlled InGaN/GaN Quantum Dots

abstract:
  Single photon emission was observed from site-controlled InGaN/GaN quantum
dots. The single-photon nature of the emission was verified by the second-order
correlation function up to 90 K, the highest temperature to date for
site-controlled quantum dots. Micro-photoluminescence study on individual
quantum dots showed linearly polarized single exciton emission with a lifetime
of a few nanoseconds. The dimensions of these quantum dots were well controlled
to the precision of state-of-the-art fabrication technologies, as reflected in
the uniformity of their optical properties. The yield of optically active
quantum dots was greater than 90%, among which 13%-25% exhibited single photon
emission at 10 K.


title: Quantum phases of 1D Hubbard models with three- and four-body couplings

abstract:
  The experimental advances in cold atomic and molecular gases stimulate the
investigation of lattice correlated systems beyond the conventional on-site
Hubbard approximation, by possibly including multi-particle processes. We study
fermionic extended Hubbard models in a one dimensional lattice with different
types of particle couplings, including also three- and four-body interaction up
to nearest neighboring sites. By using the Bosonization technique, we
investigate the low-energy regime and determine the conditions for the
appearance of ordered phases, for arbitrary particle filling. We find that
three- and four-body couplings may significantly modify the phase diagram. In
particular, diagonal three-body terms that directly couple the local particle
densities have qualitatively different effects from off-diagonal three-body
couplings originating from correlated hopping, and favor the appearance of a
Luther-Emery phase even when two-body terms are repulsive. Furthermore, the
four-body coupling gives rise to a rich phase diagram and may lead to the
realization of the Haldane insulator phase at half-filling.


title:
2-10 {\mu}m Mid-infrared Supercontinuum Generation in As2Se3 Photonic
  Crystal Fiber

abstract:
  For the first time, we demonstrated that a hyper-broadband from 2{\mu}m to
10{\mu}m can be generated with a high spectral flatness by using a ~4 um pump
and an As2Se3 photonic crystal fiber. The broad and flat dispersion profile and
the low guiding loss of the endlessly single-mode As2Se3 photonic crystal
fibers combining with the high nonlinearity and wide mid-infrared transparent
window of As2Se3 chalcogenide glass are essential for this high performance
mid-infrared laser source.


title: Geometrical scaling for identified particles

abstract:
  We show that recently measured transverse momentum spectra of identified
particles exhibit geometrical scaling (GS) in scaling variable
$\tau_{\tilde{m}_{\rm T}}=(\tilde{m}_{\rm T}/Q_0)^{2} (\tilde{m}_{\rm T}/
W)^{\lambda}$ where $\tilde{m}_{\rm T}=\sqrt{m^2+p^2_{\rm T}}-m$. We explore
consequences of GS and show that both mid rapidity multiplicity and mean
transverse momenta grow as powers of scattering energy. Furthermore, assuming
Tsallis-like parametrization of the spectra we calculate the coefficients of
this growth. We also show that Tsallis temperature is related to the average
saturation scale.


title:
Transverse single spin asymmetries at small x and the anomalous magnetic
  moment

abstract:
  We show that in the Mclerran-Venugopalan model, an axial asymmetrical valence
quark distributions in the transverse plane of a transversely polarized proton
can give rise to a spin dependent odderon. Such polarized odderon is
responsible for the transverse single spin asymmetries(SSAs) for jet production
in the backward region of pp collisions and open charm production in
semi-inclusive DIS process.


title:
A stable partitioned FSI algorithm for incompressible flow and
  structural shells

abstract:
  A stable partitioned algorithm for fluid-structure interaction (FSI) problems
that couple viscous incompressible flow with structural shells or beams is
described. This added-mass partitioned (AMP) scheme uses Robin (mixed)
interface conditions for the pressure and velocity in the fluid that are
derived directly from the governing equations. The AMP scheme is stable even
for very light structures, requires no sub-iterations, and can be made fully
second-order, or higher-order, accurate. The new scheme is shown to be stable
through the analysis of a model problem. Exact traveling wave solutions for
three FSI model problems are derived. Numerical results for a linearized FSI
problem in two-dimensions, using these exact solutions, demonstrate that the
scheme is stable and accurate, even for very light structures.


title:
Revealing the Asymmetry of the Wind of the Variable Wolf-Rayet Star WR1
  (HD4004) Through Spectropolarization

abstract:
  In this paper, high quality spectropolarimetric observations of the
Wolf-Rayet (WR) Star WR1 (HD4004) obtained with ESPaDOnS at CFHT are presented.
All major emission lines present in the spectrum show depolarization in the
relative Stokes parameters Q/I and U/I. From the behaviour of the amount of
line depolarization as a function of line strength, the intrinsic continuum
light polarization of WR1 is estimated to be P/I=0.443 \pm 0.028 % with an
angle of \theta=-26.2^o.
  Although such a level of polarization could in principle be caused by a wind
flattened by fast rotation, the scenario in which it is a consequence of the
presence in the wind of Corotating Interaction Regions (CIRs) is preferred.
This is supported by previous photometric and spectroscopic observations
showing periodic variations with a period of 16.9 days. This is now the third
WR star thought to exhibit CIRs in its wind that is found to have line
depolarization. Previous authors have found a strong correlation between line
depolarization and the presence of an ejected nebula, which they interpret as a
sign that the star has reached the WR phase relatively recently since the
nebula are thought to dissipate very fast. In the cases where the presence of
CIRs in the wind is favoured to explain the depolarization across spectral
lines, the above mentioned correlation may be indicating that those massive
stars have only very recently transited from the previous evolutionary phase to
the WR phase.


title: Generalized Perron--Frobenius Theorem for Nonsquare Matrices

abstract:
  The celebrated Perron--Frobenius (PF) theorem is stated for irreducible
nonnegative square matrices, and provides a simple characterization of their
eigenvectors and eigenvalues. The importance of this theorem stems from the
fact that eigenvalue problems on such matrices arise in many fields of science
and engineering, including dynamical systems theory, economics, statistics and
optimization. However, many real-life scenarios give rise to nonsquare
matrices. A natural question is whether the PF Theorem (along with its
applications) can be generalized to a nonsquare setting. Our paper provides a
generalization of the PF Theorem to nonsquare matrices. The extension can be
interpreted as representing client-server systems with additional degrees of
freedom, where each client may choose between multiple servers that can
cooperate in serving it (while potentially interfering with other clients).
This formulation is motivated by applications to power control in wireless
networks, economics and others, all of which extend known examples for the use
of the original PF Theorem.
  We show that the option of cooperation between servers does not improve the
situation, in the sense that in the optimal solution no cooperation is needed,
and only one server needs to serve each client. Hence, the additional power of
having several potential servers per client translates into \emph{choosing} the
best single server and not into \emph{sharing} the load between the servers in
some way, as one might have expected.
  The two main contributions of the paper are (i) a generalized PF Theorem that
characterizes the optimal solution for a non-convex nonsquare problem, and (ii)
an algorithm for finding the optimal solution in polynomial time.


title:
First observation of B0->J/\psi K+K- and search for B0->J/\psi\phi\
  decays

abstract:
  The first observation of the B0->J/\psi K+K- decay is presented with a data
sample corresponding to an integrated luminosity of 1.0/fb of pp collisions at
a center-of-mass energy of 7 TeV collected with the LHCb detector. The
branching fraction is measured to be B(B0->J/\psi K+K-) = (2.53 +/- 0.31 +/-
0.19)x10^{-6}, where the first uncertainty is statistical and the second is
systematic. An amplitude analysis of the final state in the B0->J/\psi K+K-
decay is performed to separate resonant and nonresonant contributions in the
K+K- spectrum. Evidence of the a0(980) resonance is reported with statistical
significance of 3.9 standard deviations. The corresponding product branching
fraction is measured to be B(B0->J/\psi a0(980), a0(980)->K+K-)=(4.70 +/- 3.31
+/- 0.72)x10^{-7}, yielding an upper limit of B(B0->J/\psi a0(980),
a0(980)->K+K-)<9.0x10^{-7} at 90% confidence level. No evidence of the resonant
decay B0->J/\psi\phi\; is found, and an upper limit on its branching fraction
is set to be B(B0->J/\psi\phi)< 1.9x10^{-7} at 90% confidence level.


title:
Exact results for fidelity susceptibility of the quantum Ising model:
  The interplay between parity, system size, and magnetic field

abstract:
  We derive an exact closed-form expression for fidelity susceptibility of
even- and odd-sized quantum Ising chains in the transverse field. To this aim,
we diagonalize the Ising Hamiltonian and study the gap between its positive and
negative parity subspaces. We derive an exact closed-form expression for the
gap and use it to identify the parity of the ground state. We point out
misunderstanding in some of the former studies of fidelity susceptibility and
discuss its consequences. Last but not least, we rigorously analyze the
properties of the gap. For example, we derive analytical expressions showing
its exponential dependence on the ratio between the system size and the
correlation length.


title:
Nonsmooth Convex Functionals and Feeble Viscosity Solutions of singular
  Euler-Lagrange Equations

abstract:
  Let F be nonnegative, convex and smooth off a compact set K. We prove that
continuous local minimisers of convex functionals are "very weak" viscosity
solutions in the sense of Juutinen-Lindqvist of the highly singular
Euler-Lagrange PDE expanded. The hypotheses on F do not guarrantee existence of
minimising weak solutions and include the singular p-Laplacian for 1<p<2. A
much deeper converse is also true, if K={0} and extra natural assumptions are
satisfied. Our main advance is that we introduce systematic "flat"
sup-convolution regularisations which apply to general singular nonlinear PDEs
in order to cancel the strong singularity of F. As an application we extend a
classical theorem of Calculus of Variations regarding existence for the
Dirichlet problem. These results extends previous work of Julin-Juutinen and
Juutinen-Lindqvist-Manfredi.


title:
The centered dual and the maximal injectivity radius of hyperbolic
  surfaces

abstract:
  We give sharp upper bounds on the maximal injectivity radius of finite-area
hyperbolic surfaces and use them, for each g at least 2, to identify a constant
r_{g-1,2} with the property that the set of closed genus-g hyperbolic surfaces
with maximal injectivity radius at least r is compact if and only if r >
r_{g-1,2}. The main tool is a version of the "centered dual complex" that we
introduced earlier, a coarsening of the Delaunay complex of a locally finite
set. In particular, we bound the area of a compact centered dual two-cell below
given lower bounds on its side lengths.


title: Linking Numbers and the Tame Fontaine-Mazur Conjecture

abstract:
  Let p be an odd prime, let S be a finite set of primes q congruent to 1 mod p
but not mod p^2 and let G_S be the Galois group of the maximal p-extension of Q
un-ramified outside of S. If r is a continuous homomorphism of G_S into
GL_2(Z_p) then under certain conditions on the linking numbers of S we show
that r=1 if its reduction mod p is 1. We also show that the reduction of r mod
p is 1 if r can be put in triangular form mod p^3.


title:
Qualitative analysis of Kantowski-Sachs metric in a generic class of
  $f(R)$ models

abstract:
  In this paper we investigate, from the dynamical systems perspective, the
evolution of a Kantowski-Sachs metric in a generic class of $f(R)$ models. We
present conditions (i. e., differentiability conditions, existence of minima,
monotony intervals, etc.) for a free input function related to the $f(R)$, that
guarantee the asymptotic stability of well-motivated physical solutions,
specially, self-accelerated solutions, allowing to describe both inflationary-
and late-time acceleration stages of the cosmic evolution. We discuss which
$f(R)$ theories allows for a cosmic evolution with an acceptable matter era, in
correspondence to the modern cosmological paradigm. We find a very rich
behavior, and amongst others the universe can result in isotropized solutions
with observables in agreement with observations, such as de Sitter,
quintessence-like, or phantom solutions. Additionally, we find that a
cosmological bounce and turnaround are realized in a part of the
parameter-space as a consequence of the metric choice.


title:
Collective modes in the anisotropic unitary Fermi gas and the inclusion
  of a backflow term

abstract:
  We study the collective modes of the confined unitary Fermi gas under
anisotropic harmonic confinement as a function of the number of atoms. We use
the equations of extended superfluid hydrodynamics, which take into account a
dispersive von Weizsacker-like term in the equaton of state. We also discuss
the inclusion of a backflow term in the extended superfluid Lagrangian and the
effects of this anomalous term on sound waves and Beliaev damping of phonons.


title: Quantum network exploration with a faulty sense of direction

abstract:
  We develop a model which can be used to analyse the scenario of exploring
quantum network with a distracted sense of direction. Using this model we
analyse the behaviour of quantum mobile agents operating with non-adaptive and
adaptive strategies which can be employed in this scenario. We introduce the
notion of node visiting suitable for analysing quantum superpositions of states
by distinguishing between visiting and attaining a position. We show that
without a proper model of adaptiveness, it is not possible for the party
representing the distraction in the sense of direction, to obtain the results
analogous to the classical case. Moreover, with additional control resources
the total number of attained positions is maintained if the number of visited
positions is strictly limited.


title: Born's Rule as Signature of a Superclassical Current Algebra

abstract:
  We present a new tool for calculating the interference patterns and particle
trajectories of a double-, three- and N-slit system on the basis of an emergent
sub-quantum theory developed by our group throughout the last years. The
quantum itself is considered as an emergent system representing an
off-equilibrium steady state oscillation maintained by a constant throughput of
energy provided by a classical zero-point energy field. We introduce the
concept of a "relational causality" which allows for evaluating structural
interdependences of different systems levels, i.e. in our case of the relations
between partial and total probability density currents, respectively. Combined
with the application of 21st century classical physics like, e.g., modern
nonequilibrium thermodynamics, we thus arrive at a "superclassical" theory.
Within this framework, the proposed current algebra directly leads to a new
formulation of the guiding equation which is equivalent to the original one of
the de Broglie-Bohm theory. By proving the absence of third order interferences
in three-path systems it is shown that Born's rule is a natural consequence of
our theory. Considering the series of one-, double-, or, generally, of N-slit
systems, with the first appearance of an interference term in the double slit
case, we can explain the violation of Sorkin's first order sum rule, just as
the validity of all higher order sum rules. Moreover, the Talbot patterns and
Talbot distance for an arbitrary N-slit device can be reproduced exactly by our
model without any quantum physics tool.


title:
Quantum Peierls stress of straight and kinked dislocations and effect of
  non-glide stresses

abstract:
  It was recently shown that to predict reliable Peierls stresses from
atomistic simulations, one has to correct the Peierls barrier by the zero-point
energy difference between the initial and activated states of the dislocation.
The corresponding quantum Peierls stresses are studied here in {\alpha}-Fe
modeled with two embedded atom method potentials. First, we show that the
quantum correction arises from modes localized near the dislocation core, such
that partial Hessian matrices built on small cylinders centered on the
dislocation core can be used to compute the zero-point energy difference.
Second, we compute quantum Peierls stresses for straight and kinked
dislocations and show that the former is smaller than the latter with both
{\alpha}-Fe models. Finally, we compare quantum Peierls stresses obtained in
simple shear and in traction along two orientations considered experimentally
by Kuramoto et al., evidencing a strong effect of non-glide stresses on the
quantum Peierls stress.


title:
Curvature estimates for submanifolds immersed into horoballs and
  horocylinders

abstract:
  We prove mean curvature estimates and a Jorge-Koutroufiotis type theorem for
submanifolds confined into either a horocylinder of N X L or a horoball of N,
where N is a Cartan-Hadamard manifold with pinched curvature. Thus, these
submanifolds behave in many respects like submanifolds immersed into compact
balls and into cylinders over compact balls. The proofs rely on the Hessian
comparison theorem for the Busemann function.


title:
Stationary Solutions of the Dirac Equation in the Gravitational Field of
  a Charged Black Hole

abstract:
  A stationary solution of the Dirac equation in the metric of a
Reissner-Nordstrom black hole has been found. Only one stationary regular state
outside the black hole event horizon and only one stationary regular state
below the Cauchy horizon are shown to exist. The normalization integral of the
wave functions diverges on both horizons if the black hole is non-extremal.
This means that the solution found can be only the asymptotic limit of a
nonstationary solution. In contrast, in the case of an extremal black hole, the
normalization integral is finite and the stationary regular solution is
physically self-consistent. The existence of quantum levels below the Cauchy
horizon can affect the final stage of Hawking black hole evaporation and opens
up the fundamental possibility of investigating the internal structure of black
holes using quantum tunneling between external and internal states.


title:
Detecting correlated di-hadron pairs: about the extraction of
  transversity and beyond

abstract:
  We summarize the latest achievements about the extraction of the transversity
parton distribution and proton tensor charge based on an analysis of pion-pair
production in deep-inelastic scattering off transversely polarized targets.
Recently released data for proton and deuteron targets by HERMES and COMPASS
allow for a flavor separation of the valence components of transversity. At
variance with the Collins effect, this extraction is performed in the framework
of collinear factorization and relies on di-hadron fragmentation functions. The
latter have been taken from the first recent analysis of the semi-inclusive
production of two pion pairs in back-to-back jets in e+e- annihilation. We also
comment on the possibility of isolating new azimuthally asymmetric correlations
of opposite pion pairs, which could arise when a fragmenting quark crosses
parity-odd domains localized in Minkowski space-time and induced by the
topologically nontrivial QCD background (the so-called \theta\ vacuum).


title: Development of Imaging Calorimetry

abstract:
  This paper will argue for continued effort in developing imaging calorimeters
for future colliders and/or upgrades to existing detectors. Imaging
calorimeters offer a plethora of advantages beyond their application in
conjunction with Particle Flow Algorithms. Further R&D is needed to turn the
first generation prototypes into viable detectors for colliding beam
experiments.


title:
High pressure study of the normal and superconducting states of the
  layered pnictide oxide Ba$_{1-x}$Na$_x$Ti$_2$Sb$_2$O with x = 0, 0.10, and
  0.15

abstract:
  Here we present a systematic study of the effects of pressure on the
superconducting and spin/charge density wave (SDW/CDW) transitions of
Ba$_{1-x}$Na$_x$Ti$_2$Sb$_2$O (x = 0, 0.10, and 0.15) by means of resistivity
measurements. For x = 0 and 0.10, external pressure results in a decease of the
SDW/CDW transition temperature T$_c$; however, no measurable change is observed
for the x = 0.15. The pressure effect on the superconducting transition
temperature is different for all three samples. For BaTi$_2$Sb$_2$O (x=0),
T$_c$ increases significantly from 1.2 K at zero pressure to $\sim$ 2.9 K at
16.1 kbars. The 10 % Na-doped sample shows an initial T$_c$ increase up to 4.2
K with pressure which saturates at higher pressure values. For higher Na
concentrations (x=0.15), T$_c$ continuously decreases with increasing pressure.


title: Molecular kinetics of solid and liquid CHCl$_3$

abstract:
  We present a detailed analysis of the molecular kinetics of CHCl$_3$ in a
range of temperatures covering the solid and liquid phases. Using nuclear
quadrupolar resonance we determine the relaxation times for the molecular
rotations in solid at pre-melting conditions. Molecular dynamics simulations
are used to characterize the rotational dynamics in the solid and liquid phases
and to study the local structure of the liquid in terms of the molecular
relative orientations. We find that in the pre-melting regime the molecules
rotate about the C-H bond, but the rotations are isotropic in the liquid, even
at supercooled conditions.


title: Fully Quantum Approach to Optomechanical Entanglement

abstract:
  The radiation pressure induced coupling between an optical cavity field and a
mechanical oscillator can create entanglement between them. In previous works
this entanglement was treated as that of the quantum fluctuations of the cavity
and mechanical modes around their classical mean values. Here we provide a
fully quantum approach to optomechanical entanglement, which goes beyond the
approximation of classical mean motion plus quantum fluctuation, and applies to
arbitrary cavity drive. We illustrate the real-time evolution of optomechanical
entanglement under drive of arbitrary detuning to show the existence of high,
robust and stable entanglement in blue detuned regime, and highlight the
quantum noise effects that can cause entanglement sudden death and revival.


title: Framework Model for Database Replication within the Availability Zones

abstract:
  This paper presents a proposed model for database replication model in
private cloud availability regions, which is an enhancement of the SQL Server
AlwaysOn Layers of Protection Model presents by Microsoft in 2012. The
enhancement concentrates in the database replication for private cloud
availability regions through the use of primary and secondary servers. The
processes of proposed model during the client send Write/Read Request to the
server, in synchronous and semi synchronous replication level has been
described in details also the processes of proposed model when the client send
Write/Read Request to the Primary Server presented in details. All the types of
automatic failover situations are presented in this thesis. Using the proposed
models will increase the performance because each one of the secondary servers
will open for Read / Write and allow the clients to connect to the nearby
secondary and less loading on each server. Keywords: Availability Regions,
Cloud Computing, Database Replication, SQL Server AlwaysOn, Synchronization.


title:
Terracentric Nuclear Fission Reactor: Background, Basis, Feasibility,
  Structure, Evidence, and Geophysical Implications

abstract:
  The background, basis, feasibility, structure, evidence, and geophysical
implications of a naturally occurring Terracentric nuclear fission georeactor
are reviewed. For a nuclear fission reactor to exist at the center of the
Earth, all of the following conditions must be met: (1) There must originally
have been a substantial quantity of uranium within Earth's core; (2) There must
be a natural mechanism for concentrating the uranium; (3) The isotopic
composition of the uranium at the onset of fission must be appropriate to
sustain a nuclear fission chain reaction; (4) The reactor must be able to breed
a sufficient quantity of fissile nuclides to permit operation over the lifetime
of Earth to the present; (5) There must be a natural mechanism for the removal
of fission products; (6) There must be a natural mechanism for removing heat
from the reactor; (7) There must be a natural mechanism to regulate reactor
power level, and; (8) The location of the reactor or must be such as to provide
containment and prevent meltdown. Herndon's georeactor alone is shown to meet
those conditions. Georeactor existence evidence based upon helium measurements
and upon antineutrino measurements is described. Geophysical implications
discussed include georeactor origin of the geomagnetic field, geomagnetic
reversals from intense solar outbursts and severe Earth trauma, as well as
georeactor heat contributions to global dynamics.


title: A nano heat engine beyond the Carnot limit

abstract:
  Heat engines extract work by running cyclically between two heat reservoirs.
When the two reservoirs are thermal and at different temperatures, the maximum
efficiency of the engine is given by the Carnot limit. Here we consider a
quantum Otto cycle for a time-dependent harmonic oscillator coupled to an
engineered squeezed thermal reservoir. We show that the efficiency at maximum
power increases with the degree of squeezing, exponentially approaching unity
for large squeezing parameters $r$. Furthermore, we propose an experimental
scheme to implement such a system by using a single trapped ion in a linear
Paul trap with special geometry and coupled to engineered reservoirs. Our
analytical investigations are supported with Monte Carlo simulations that
demonstrate the feasibility of our proposal. For realistic trap parameters, an
increase of up to a factor of four is reached, largely exceeding the classical
limit.


title: Sturm-Liouville Estimates for the Spectrum and Cheeger Constant

abstract:
  Buser's inequality gives an upper bound on the first non-zero eigenvalue of
the Laplacian of a closed manifold M in terms of the Cheeger constant h(M).
Agol later gave a quantitative improvement of Buser's inequality. Agol's result
is less transparent since it is given implicitly by a set of equations, one of
which is a differential equation Agol could not solve except when M is
three-dimensional. We show that a substitution transforms Agol's differential
equation into the Riemann differential equation. Then, we give a proof of
Agol's result and also generalize it using Sturm-Liouville theory. Under the
same assumptions on M, we are able to give upper bounds on the higher
eigenvalues of M, \lambda_k(M), in terms of the eigenvalues of a
Sturm-Liouville problem which depends on h(M). We then compare the Weyl
asymptotic of \lambda_k(M) given by the works of Cheng, Gromov, and
B\'erard-Besson-Gallot to the asymptotics of our Sturm-Liouville problems given
by Atkinson-Mingarelli.


title: A Multilayered Approach to Estimate Business Performance

abstract:
  The performance of a business is chiefly determined by the business model
adopted and its environment of operation. This paper emphasizes on the
integration of Web 2.0 services like social networking to your existing
business, which helps in the progressive sustainability of the business
organization. The usage of Web 2.0 tools, such as Wikipedia, blogs and social
networking services such as Facebook, LinkedIn, Orkut by individuals in all
societies, has been pervasive and very successful in proliferating their use at
the professional or business levels. This paper puts forth the discussion which
helps in better understanding of what social networking encompasses for present
day business. It also aims to educate business decision makers about the
benefits and risks associated in incorporating business model with social
networking. Thus, the paper focuses on the implementation of social networking
platforms in business operations and discusses the different attributes of
business performance and gives an overview in choosing a social networking
platform for its business purposes.


title:
Theoretic Shaping Bounds for Single Letter Constraints and Mismatched
  Decoding

abstract:
  Shaping gain is attained in schemes where a shaped subcode is chosen from a
larger codebook by a codeword selection process. This includes the popular
method of Trellis Shaping (TS), originally proposed by Forney for average power
reduction. The decoding process of such schemes is mismatched, since it is
aware of only the large codebook. This study models such schemes by a random
code construction and derives achievable bounds on the transmission rate under
matched and mismatched decoding. For matched decoding the bound is obtained
using a modified asymptotic equipartition property (AEP) theorem derived to
suit this particular code construction. For mismatched decoding, relying on the
large codebook performance is generally wrong, since the performance of the
non-typical codewords within the large codebook may differ substantially from
the typical ones. Hence, we present two novel lower bounds on the capacity
under mismatched decoding. The first is based upon Gallager's random exponent,
whereas the second on a modified version of the joint-typicality decoder.


title:
SNOWMASS WHITE PAPER - SLHC Endcap 1.4<y<4 Hadron Optical Calorimetry
  Upgrades in CMS with Applications to NLC/T-LEP, Intensity Frontier, and
  Beyond

abstract:
  Radiation damage in the plastic scintillator and/or readout WLS fibers in the
HE endcap calorimeter 1.4<y<4 in the CMS experiment at LHC and SLHC will
require remediation after 2018. We describe one alternative using the existing
brass absorber in the Endcap calorimeter, to replace the plastic scintillator
tiles with BaF2 tiles, or quartz tiles coated with thin(1-5 micron) films of
radiation-hard pTerphenyl(pTP) or the fast phosphor ZnO:Ga. These tiles would
be read-out by easily replaceable arrays of straight, parallel WLS fibers
coupled to clear plastic-cladded quartz fibers of proven radiation resistance.
We describe a second alternative with a new absorber matrix extending to
1.4<y<4 in a novel Analog Particle Flow Cerenkov Compensated Calorimeter, using
a dual readout of quartz tiles and scintillating (plastic, BaF2, or pTP/ ZnO:Ga
thin film coated quartz, or liquid scintillator) tiles, also using easily
replaceable arrays of parallel WLS fibers coupled to clear quartz transmitting
fibers for readout. An Analog Particle Flow Scintillator-Cerenkov Compensated
Calorimeter has application in NLC/T-LEP detectors and Intensity Frontier
detectors.


title:
The Lie algebra of type G_2 is rational over its quotient by the adjoint
  action

abstract:
  Let G be a split simple group of type G_2 over a field k, and let g be its
Lie algebra. Answering a question of Colliot-Th\'el\`ene, Kunyavski\u{i},
Popov, and Reichstein, we show that the function field k(g) is generated by
algebraically independent elements over the field of adjoint invariants k(g)^G.
  Soit G un groupe alg\'ebrique simple et d\'eploy\'e de type G_2 sur un corps
k. Soit g son alg\`ebre de Lie. On d\'emontre que le corps des fonctions k(g)
est transcendant pur sur le corps k(g)^G des invariants adjoints. Ceci r\'epond
par l'affirmative \`a une question pos\'ee par Colliot-Th\'el\`ene,
Kunyavski\u{i}, Popov et Reichstein.


title: Notes on approximate golden spirals with whirling squares

abstract:
  We have extended some known results of the approximate golden spirals to
generalized m-spirals built with whirling squares for any $m$ ratio ($m>1$). In
particular, we have proved that circumscribed circles around squares intercept
the pole. This implies that poles of any m-spirals lie on a circumscribed
circle about the first square. We show here that these and other fascinating
properties are not exclusive of golden rectangles. The classical golden
constructors may not be alone.


title: Unbiased non-orthogonal bases for tomographic reconstruction

abstract:
  We have developed a general method for constructing a set of non-orthogonal
bases with equal separations between all different basis' states in prime
dimensions.It results that the corresponding bi-orthogonal counterparts are
pairwise unbiased with the components of the original bases. Using these bases
we derive an explicit expression for the optimal tomography in non-orthogonal
bases. Special two dimensional case is analyzed separately.


title: Quasinormal modes of a two-dimensional black hole

abstract:
  For a two-dimensional black hole we determine the quasinormal frequencies of
the Klein-Gordon and Dirac fields. In contrast to the well known examples whose
spectrum of quasinormal frequencies is discrete, for this black hole we find a
continuous spectrum of quasinormal frequencies, but there are unstable
quasinormal modes. In the framework of the Hod and Maggiore proposals we also
discuss the consequences of these results on the form of the entropy spectrum
for the two-dimensional black hole.


title:
Dynamics of ZnO nanowires immersed in in-plane switching liquid crystal
  cells

abstract:
  We investigated both numerically and experimentally the dynamics of
individual ZnO nanowires immersed in an in-plane switching (IPS)
4-Cyano-4-pentylbiphenyl (5CB) liquid crystal cell under switching electric
fields. Comparing the motion of nanowires captured by a high-speed CCD camera
with the simulated results allows the interaction among nanowires, liquid
crystals and external electric field to be studied. Our results show that in
the nematic phase, the relaxation and response of a nanowire are both
controlled by both the dielectrophoretic torque induced by the external
electric field and the elastic torque arising from the liquid crystals.


title: On the generalization of Faltings' Annihilator Theorem

abstract:
  Let $R$ be a commutative Noetherian ring and let $n$ be a non-negative
integer. In this article, by using the theory of Gorenstein dimensions, it is
shown that whenever $R$ is a homomorphic image of a Noetherian Gorenstein ring,
then the invariants $\inf\{i\in\nat_0|\, {\dim\Supp}(\fb^tH_{\fa}^i(M))\geq
n\text{for all} t\in\nat_0\}$ and $\inf\{\lambda_{\fa R_{\p}}^{\fb
R_{\p}}(M_{\p})|\,\p\in {\rm Spec} \, R \text{and} \dim R/ \p\geq n\}$ are
equal, for every finitely generated $R$-module $M$ and for every ideals $\frak
a, \frak b$ of $R$ with $\frak b\subseteq \frak a$. This generalizes the
Faltings' Annihilator Theorem [G. Faltings, {\it \"Uber die Annulatoren lokaler
Kohomologiegruppen}, Arch. Math. {\bf30} (1978) 473-476].


title:
Evolution of the Superconductivity Dome in the two dimensional Hubbard
  Model

abstract:
  In a recent publication [Chen et al., Phys. Rev. B 86, 165136 (2012)], we
identified a line of Lifshitz transition points separating the Fermi liquid and
pseudogap regions in the hole-doped two dimensional Hubbard model. Here we
extend the study to further determine the superconducting transition
temperature in the phase diagram. By means of large-scale dynamical cluster
quantum Monte Carlo simulations, we are able to identify the evolution of the
d-wave superconducting dome in the hole-dope side of the phase diagram, with
next-nearest-neighbor hopping (t'), chemical potential and temperature as
control parameters. To obtain the superconducting transition temperature Tc, we
employ two-particle measurements of the pairing susceptibilities. As t' goes
from positive to negative values, we find the d-wave projected irreducible
pairing vertex function is enhanced, and the curvature of its doping dependence
changes from convex to concave, which fixes the position of the maximum
superconducting temperature at the same filling (n close to 0.85) and
constraints the dome from precisely following the Lifshitz line. We furthermore
decompose the irreducible vertex function into fully irreducible, charge and
spin components via the parquet equations, and consistently find that the spin
component dominates the pairing vertex function in the doping range where the
dome is located. Our investigations deepen the understanding of the phase
diagram of the two dimensional Hubbard model.


title: Shot Noise in Lithographically Patterned Graphene Nanoribbons

abstract:
  We have investigated shot noise and conductance of multi-terminal graphene
nanoribbon devices at temperatures down to 50 mK. Away from the charge
neutrality point, we find a Fano factor $F \approx 0.4$, nearly independent of
the charge density. Our shot noise results are consistent with theoretical
models for disordered graphene ribbons with a dimensionless scattering strength
$K_0 \approx 10$ corresponding to rather strong disorder. Close to charge
neutrality, an increase in $F$ up to $\sim 0.7$ is found, which indicates the
presence of a dominant Coulomb gap possibly due to a single quantum dot in the
transport gap.


title:
Ratliff-Rush closures and linear growth of primary decompositions of
  ideals

abstract:
  Let $R$ be a commutative Noetherian ring, $E$ a non-zero finitely generated
$R$-module and $I$ an ideal of $R$. One purpose of this paper is to show that
the sequences $\Ass_RE/ \widetilde{I_E^n}$ and $\Ass_R\widetilde{I^n
_E}/\widetilde{I^{n+1}_E}$, $n = 1,2, \dots$, of associated prime ideals are
increasing and eventually stabilize. This extends the main result of Mirbagheri
and Ratliff \cite[Theorem 3.1]{MR}. In addition, a characterization concerning
the set $\widetilde{A^*}(I,E)$ is included. A second purpose of this paper is
to prove that $I$ has linear growth primary decompositions for Ratliff-Rush
closures with respect to $E$, that is, there exists a positive integer $k$ such
that for every positive integer $n$, there exists a minimal primary
decomposition $\widetilde {I^n_E}= Q_1\cap \cdots\cap Q_s$ in $E$ with
$(\Rad(Q_i:_RE))^{nk}\subseteq (Q_i:_R E)$, for all $i= 1, \dots, s$.


title: Superfluidity and Space-Time Translation Symmetry Breaking

abstract:
  I present a simple model that exhibits a temporal analogue of superconducting
crystalline (LOFF) ordering. I sketch designs for minimally dissipative AC
circuits, all based on time translation symmetry ($\tau$) invariant dynamics,
exploiting weak links (Josephson effects). These systems violate $\tau$
spontaneously. I also discuss effective theories of that phenomenon, and
space-time generalizations.


title: Realization of a Josephson Switch

abstract:
  It has been proposed that intermittent weak links between spontaneously
broken symmetry systems can give rise to a novel type of time crystal. Here a
practical construction is analyzed in greater detail. For a film-geometry
Josephson junction, an applied magnetic field in the junction region can
effectively switch on and off the supercurrent. By tuning experimental
parameters, one can possibly let the free energy be arbitrarily close to the
equilibrium without compromising the life time. A parallel construction for
superfluid $^4$He is also proposed.


title: Witten index in N=1 and N=2 SYMCS theories with matter

abstract:
  We calculate the Witten index for 3d supersymmetric Yang-Mills-Chern-Simons
theories with matter. For N=2 theories, our results coincide with the results
of recent [1]. We compare the situation in 3d to that in 4d N = 1 theories with
massive matter. In both cases, extra Higgs vacuum states may appear when the
Lagrangian involves nontrivial Yukawa interactions between the matter
superfields. In addition, in 3d theories, massive fermion loops affect the
index via renormalization of the Chern-Simons level k.


title:
Low-rank approximation in the numerical modeling of the Farley-Buneman
  instability in ionospheric plasma

abstract:
  We consider the numerical modeling of the Farley-Buneman instability
development in the earth's ionosphere plasma. The ion behavior is governed by
the kinetic Landau equation in the four-dimensional phase space, and since the
finite difference discretization on a tensor product grid is used, this
equation becomes the most computationally challenging part of the scheme. To
relax the complexity and memory consumption, an adaptive model reduction using
the low-rank separation of variables, namely the Tensor Train format, is
employed.
  The approach was verified via the prototype MATLAB implementation. Numerical
experiments demonstrate the possibility of efficient separation of space and
velocity variables, resulting in the solution storage reduction by a factor of
order tens.

categories: cs.NA math.NA physics.comp-ph physics.plasm-ph


title:
Fast Approximate Inference of Transcript Expression Levels from RNA-seq
  Data

abstract:
  Motivation: The mapping of RNA-seq reads to their transcripts of origin is a
fundamental task in transcript expression estimation and differential
expression scoring. Where ambiguities in mapping exist due to transcripts
sharing sequence, e.g. alternative isoforms or alleles, the problem becomes an
instance of non-trivial probabilistic inference. Bayesian inference in such a
problem is intractable and approximate methods must be used such as Markov
chain Monte Carlo (MCMC) and Variational Bayes. Standard implementations of
these methods can be prohibitively slow for large datasets and complex gene
models.
  Results: We propose an approximate inference scheme based on Variational
Bayes applied to an existing model of transcript expression inference from
RNA-seq data. We apply recent advances in Variational Bayes algorithmics to
improve the convergence of the algorithm beyond the standard variational
expectation-maximisation approach. We apply our algorithm to simulated and
biological datasets, demonstrating that the increase in speed requires only a
small trade-off in accuracy of expression level estimation.
  Availability: The methods were implemented in R and C++, and are available as
part of the BitSeq project at https://code.google.com/p/bitseq/. The methods
will be made available through the BitSeq Bioconductor package at the next
stable release.


title:
Backreaction of a massless minimally coupled scalar field from
  inflationary quantum fluctuations

abstract:
  In this paper we study a massless, minimally coupled scalar field in a FLRW
spacetime with periods of different constant deceleration parameter. We assume
the Bunch-Davies vacuum during inflation and then use a sudden matching
approximation to match it onto radiation era and subsequently onto matter era.
We then proceed to calculate the one-loop energy-momentum tensor from the
inflationary quantum vacuum fluctuations in different eras. The energy-momentum
tensor has the form of an ideal (quantum) fluid, characterized by an equation
of state. When compared with the background, far away from the matching the
quantum energy density in radiation era exhibits a contribution that grows
logarithmically with the scale factor. In matter era the ratio of the quantum
to classical fluid settles eventually to a tiny constant, (rho_q) / (rho) =
10^(-13) for a grand unified scale inflation. Curiously, the late time scaling
of quantum fluctuations suggests that they contribute a little to the dark
matter of the Universe, provided that it clusters as cold dark matter, which
needs to be checked.


title:
Uniqueness in Determining Refractive Indices by Formally-determined
  Far-field Data

abstract:
  We present two uniqueness results for the inverse problem of determining an
index of refraction by the corresponding acoustic far-field measurement encoded
into the scattering amplitude. The first one is a local uniqueness in
determining a variable index of refraction by the fixed incident-direction
scattering amplitude. The inverse problem is formally posed with such
measurement data. The second one is a global uniqueness in determining a
constant refractive index by a single far-field measurement. The arguments are
based on the study of certain nonlinear and non-selfadjoint interior
transmission eigenvalue problems.


title: Intentional Design for Empowerment

abstract:
  I argue for empowering education, adapting Marx's idea of ownership of the
means of production, and discuss interactive simulations as one example of a
tool in which intentional design can support student ownership of learning. I
propose a model that leverages affordances of educational tools to do positive
work toward empowering education.


title: A template for describing intrinsic GRB pulse shapes

abstract:
  A preliminary study of a set of well-isolated pulses in GRB light curves
indicates that simple pulse models, with smooth and monotonic pulse rise and
decay regions, are inadequate. Examining the residuals of fits of pulses to
such models suggests the following patterns of departure from the smooth pulse
model of Norris et al. (2005): A Precursor Shelf occurs prior to or concurrent
with the exponential Rapid Rise. The pulse reaches maximum intensity at the
Peak Plateau, then undergoes a Rapid Decay. The decay changes into an Extended
Tail. Pulses are almost universally characterized by hard-to-soft evolution,
arguing that the new pulse features reflect a single physical phenomenon,
rather than artifacts of pulse overlap.


title:
Estimation of mass thickness response of embedded aggregated silica
  nanospheres from high angle annular dark-field scanning transmission electron
  micrographs

abstract:
  In this study we investigate the functional behavior of the intensity in
high-angle annular dark field (HAADF) scanning transmission electron micrograph
(STEM) images. The model material is a silica particle (20 nm) gel at 5 wt%. By
assuming that the intensity response is monotonically increasing with
increasing mass thickness of silica, an estimate of the functional form is
calculated using a maximum likelihood approach. We conclude that a linear
functional form of the intensity provides a fair estimate but that a power
function is significantly better for estimating the amount of silica in the
z-direction. The work adds to the development of quantifying material
properties from electron micrographs, especially in the field of tomography
methods and three-dimensional quantitative structural characterization from a
STEM micrograph. It also provides means for direct three-dimensional
quantitative structural characterization from a STEM micrograph.


title: Regular phantom black hole gravitational lensing

abstract:
  We study regular and asymptotically flat phantom black holes as gravitational
lenses. We obtain the deflection angle in both the weak and the strong
deflection limits, from which we calculate the positions, magnifications, and
time delays of the images. We compare our results with those corresponding to
the Schwarzschild solution and to the vacuum Brans-Dicke black hole.


title:
Fermi-edge singularity in chiral one-dimensional systems far from
  equilibrium

abstract:
  We study the effects of strong coupling of a localized state charge to
one-dimensional electronic channels out of equilibrium. While the state of this
charge and the coupling strengths determine the scattering phase shifts in the
channels, the nonequilibrium partitioning noise induces the tunneling
transitions to the localized state. The strong coupling leads to a
nonperturbative backaction effect which is manifested in the orthogonality
catastrophe and the Fermi-edge singularity in the transition rates. We predict
an unusually pronounced manifestation of the non-Gaussian component of noise
that breaks the charge symmetry, resulting in a nontrivial shape, and a shift
of the position of the tunneling resonance.


title: A limit of the quantum Renyi divergence

abstract:
  Recently, an interesting quantity called the quantum Renyi divergence (or
"sandwiched" Renyi relative entropy) was defined for pairs of positive
semi-definite operators $\rho$ and $\sigma$. It depends on a parameter $\alpha$
and acts as a parent quantity for other relative entropies which have important
operational significances in quantum information theory: the quantum relative
entropy and the min- and max-relative entropies. There is, however, another
relative entropy, called the 0-relative Renyi entropy, which plays a key role
in the analysis of various quantum information-processing tasks in the one-shot
setting. We prove that the 0-relative Renyi entropy is obtainable from the
quantum Renyi divergence only if $\rho$ and $\sigma$ have equal supports. This,
along with existing results in the literature, suggests that it suffices to
consider two essential parent quantities from which operationally relevant
entropic quantities can be derived - the quantum Renyi divergence with
parameter $\alpha \ge 1/2$, and the $\alpha$-relative R\'enyi entropy with
$\alpha\in [0,1)$.


title: Explicit minimal Scherk saddle towers of arbitrary even genera in $\R^3$

abstract:
  Starting from works by Scherk (1835) and by Enneper-Weierstra\ss \ (1863),
new minimal surfaces with Scherk ends were found only in 1988 by Karcher (see
\cite{Karcher1,Karcher}). In the singly periodic case, Karcher's examples of
positive genera had been unique until Traizet obtained new ones in 1996 (see
\cite{Traizet}). However, Traizet's construction is implicit and excludes {\it
towers}, namely the desingularisation of more than two concurrent planes. Then,
new explicit towers were found only in 2006 by Martin and Ramos Batista (see
\cite{Martin}), all of them with genus one. For genus two, the first such
towers were constructed in 2010 (see \cite{Valerio2}). Back to 2009, implicit
towers of arbitrary genera were found in \cite{HMM}. In our present work we
obtain {\it explicit} minimal Scherk saddle towers, for any given genus $2k$,
$k\ge3$.


title:
Program in C for studying characteristic properties of two-body
  interactions in the framework of spectral distribution theory

abstract:
  We present a program in C that employs spectral distribution theory for
studies of characteristic properties of a many-particle quantum-mechanical
system and the underlying few-body interaction. In particular, the program
focuses on two-body nuclear interactions given in a JT-coupled harmonic
oscillator basis and calculates correlation coefficients, a measure of
similarity of any two interactions, as well as Hilbert-Schmidt norms specifying
interaction strengths. An important feature of the program is its ability to
identify the monopole part (centroid) of a 2-body interaction, as well as its
'density-dependent' one-body and two-body part, thereby providing key
information on the evolution of shell gaps and binding energies for larger
nuclear systems. As additional features, we provide statistical measures for
'density-dependent' interactions, as well as a mechanism to express an
interaction in terms of two other interactions. This, in turn, allows one to
identify, e.g., established features of the nuclear interaction (such as
pairing correlations) within a general Hamiltonian. The program handles the
radial degeneracy for 'density-dependent' one-body interactions and together
with an efficient linked list data structure, facilitates studies of nuclear
interactions in large model spaces that go beyond valence-shell applications.


title:
Automated, Credible Autocoding of An Unmanned Aggressive Maneuvering Car
  Controller

abstract:
  This article describes the application of a credible autocoding framework for
control systems towards a nonlinear car controller example. The framework
generates code, along with guarantees of high level functional properties about
the code that can be independently verified. These high-level functional
properties not only serves as a certificate of good system behvaior but also
can be used to guarantee the absence of runtime errors. In one of our previous
works, we have constructed a prototype autocoder with proofs that demonstrates
this framework in a fully automatic fashion for linear and quasi-nonlinear
controllers. With the nonlinear car example, we propose to further extend the
prototype's dataflow annotation language environment with with several new
annotation symbols to enable the expression of general predicates and dynamical
systems. We demonstrate manually how the new extensions to the prototype
autocoder work on the car controller using the output language Matlab. Finally,
we discuss the requirements and scalability issues of the automatic analysis
and verification of the documented output code.


title: On the Solution of the Van der Pol Equation

abstract:
  We linearize and solve the Van der Pol equation (with additional nonlinear
terms) by the application of a generalized form of Cole-Hopf transformation. We
classify also Lienard equations with low order polynomial coefficients which
can be linearized by this transformation.


title: Growth rate degeneracies in kinematic dynamos

abstract:
  We consider the classical problem of kinematic dynamo action in simple steady
flows. Due to the adjointness of the induction operator, we show that the
growth rate of the dynamo will be exactly the same for two types of magnetic
boundary conditions: the magnetic field can be normal (infinite magnetic
permeability, also called pseudo-vacuum) or tangent (perfect electrical
conductor) to the boundaries of the domain. These boundary conditions
correspond to well-defined physical limits often used in numerical models and
relevant to laboratory experiments. The only constraint is for the velocity
field u to be reversible, meaning there exists a transformation changing u into
-u. We illustrate this surprising property using S2T2 type of flows in
spherical geometry inspired by Dudley and James (1989). Using both types of
boundary conditions, it is shown that the growth rates of the dynamos are
identical, although the corresponding magnetic eigenmodes are drastically
different.


title:
Multicritical Symmetry Breaking and Naturalness of Slow Nambu-Goldstone
  Bosons

abstract:
  We investigate spontaneous global symmetry breaking in the absence of Lorentz
invariance, and study technical Naturalness of Nambu-Goldstone (NG) modes whose
dispersion relation exhibits a hierarchy of multicritical phenomena with
Lifshitz scaling and dynamical exponents $z>1$. For example, we find NG modes
with a technically natural quadratic dispersion relation which do not break
time reversal symmetry and are associated with a single broken symmetry
generator, not a pair. The mechanism is protected by an enhanced `polynomial
shift' symmetry in the free-field limit.

categories: hep-th cond-mat.str-el cond-mat.supr-con gr-qc hep-ph