title: Singularity of Data Analytic Operations

abstract:
  Statistical data by their very nature are indeterminate in the sense that if
one repeated the process of collecting the data the new data set would be
somewhat different from the original. Therefore, a statistical method, a map
$\Phi$ taking a data set $x$ to a point in some space F, should be stable at
$x$: Small perturbations in $x$ should result in a small change in $\Phi(x)$.
Otherwise, $\Phi$ is useless at $x$ or -- and this is important -- near $x$. So
one doesn't want $\Phi$ to have "singularities," data sets $x$ such that the
the limit of $\Phi(y)$ as $y$ approaches $x$ doesn't exist. (Yes, the same
issue arises elsewhere in applied math.)
  However, broad classes of statistical methods have topological obstructions
of continuity: They must have singularities. We show why and give lower bounds
on the Hausdorff dimension, even Hausdorff measure, of the set of singularities
of such data maps. There seem to be numerous examples.
  We apply mainly topological methods to study the (topological) singularities
of functions defined (on dense subsets of) "data spaces" and taking values in
spaces with nontrivial homology. At least in this book, data spaces are usually
compact manifolds. The purpose is to gain insight into the numerical
conditioning of statistical description, data summarization, and inference and
learning methods. We prove general results that can often be used to bound
below the dimension of the singular set. We apply our topological results to
develop lower bounds on Hausdorff measure of the singular set. We apply these
methods to the study of plane fitting and measuring location of data on
spheres.
  This is not a "final" version, merely another attempt.


title: Neutrino flavor pendulum in both mass hierarchies

abstract:
  We construct a simple example for self-induced flavor conversion in dense
neutrino gases showing new solutions that violate the symmetries of initial
conditions. Our system consists of two opposite momentum modes 1 and 2, each
initially occupied with equal densities of nu_e and anti-nu_e. Restricting
solutions to symmetry under 1 <-> 2 allows for the usual bimodal instability
("flavor pendulum") in the inverted neutrino mass hierarchy (IH) and stability
(no self-induced flavor conversion) in the normal hierarchy (NH). Lifting this
symmetry restriction allows for a second pendulum-like solution that occurs in
NH where the modes 1 and 2 swing in opposite directions in flavor space. Any
small deviation from 1-2 symmetry in the initial condition triggers the new
instability in NH. This effect corresponds to the recently identified
multi-azimuth angle (MAA) instability of supernova neutrino fluxes. Both cases
show explicitly that solutions of the equations of collective flavor
oscillations need not inherit the symmetries of initial conditions, although
this has been universally assumed.


title:
The PAndAS view of the Andromeda satellite system - I. A Bayesian search
  for dwarf galaxies using spatial and color-magnitude information

abstract:
  We present a generic algorithm to search for dwarf galaxies in photometric
catalogs and apply it to the Pan-Andromeda Archaeological Survey (PAndAS). The
algorithm is developed in a Bayesian framework and, contrary to most
dwarf-galaxy-search codes, makes use of both the spatial and color-magnitude
information of sources in a probabilistic approach. Accounting for the
significant contamination from the Milky Way foreground and from the structured
stellar halo of the Andromeda galaxy, we recover all known dwarf galaxies in
the PAndAS footprint with high significance, even for the least luminous ones.
Some Andromeda globular clusters are also recovered and, in one case,
discovered. We publish a list of the 143 most significant detections yielded by
the algorithm. The combined properties of the 39 most significant isolated
detections show hints that at least some of these trace genuine dwarf galaxies,
too faint to be individually detected. Follow-up observations by the community
are mandatory to establish which are real members of the Andromeda satellite
system. The search technique presented here will be used in an upcoming
contribution to determine the PAndAS completeness limits for dwarf galaxies.
Although here tuned to the search of dwarf galaxies in the PAndAS data, the
algorithm can easily be adapted to the search for any localised overdensity
whose properties can be modeled reliably in the parameter space of any catalog.


title: Combination of CDF and D0 W-Boson Mass Measurements

abstract:
  We summarize and combine direct measurements of the mass of the $W$ boson in
$\sqrt{s} = 1.96 \text{TeV}$ proton-antiproton collision data collected by CDF
and D0 experiments at the Fermilab Tevatron Collider. Earlier measurements from
CDF and D0 are combined with the two latest, more precise measurements: a CDF
measurement in the electron and muon channels using data corresponding to $2.2
\mathrm{fb}^{-1}$ of integrated luminosity, and a D0 measurement in the
electron channel using data corresponding to $4.3 \mathrm{fb}^{-1}$ of
integrated luminosity. The resulting Tevatron average for the mass of the $W$
boson is $\MW = 80\,387 \pm 16 \text{MeV}$. Including measurements obtained in
electron-positron collisions at LEP yields the most precise value of $\MW =
80\,385 \pm 15 \text{MeV}$.


title:
Position-dependent noncommutative quantum models: Exact solution of the
  harmonic oscillator

abstract:
  This paper is devoted to find the exact solution of the harmonic oscillator
in a position-dependent 4-dimensional noncommutative phase space. The
noncommutative phase space that we consider is described by the commutation
relations between coordinates and momenta:
$[\hat{x}^1,\hat{x}^2]=i\theta(1+\omega_2 \hat x^2)$,
$[\hat{p}^1,\hat{p}^2]=i\bar\theta$,
$[\hat{x}^i,\hat{p}^j]=i\hbar_{eff}\delta^{ij}$. We give an analytical method
to solve the eigenvalue problem of the harmonic oscillator within this
deformation algebra.


title:
The High Time Resolution Universe Pulsar Survey - VII: discovery of five
  millisecond pulsars and the different luminosity properties of binary and
  isolated recycled pulsars

abstract:
  This paper presents the discovery and timing parameters for five millisecond
pulsars (MSPs), four in binary systems with probable white dwarf companions and
one isolated, found in ongoing processing of the High Time Resolution Universe
Pulsar Survey (HTRU). We also present high quality polarimetric data on four of
them. These further discoveries confirm the high potential of our survey in
finding pulsars with very short spin periods. At least two of these five MSPs
are excellent candidates to be included in the Pulsar Timing Array projects.
Thanks to the wealth of MSP discoveries in the HTRU survey, we revisit the
question of whether the luminosity distributions of isolated and binary MSPs
are different. Using the Cordes and Lazio distance model and our new and
catalogue flux density measurements, we find that 41 of the 42 most luminous
MSPs in the Galactic disk are in binaries and a statistical analysis suggests
that the luminosity functions differ with 99.9% significance. We conclude that
the formation process that leads to solitary MSPs affects their luminosities,
despite their period and period derivatives being similar to those of pulsars
in binary systems.


title: Black Hole's Information Group

abstract:
  We suggest a group-theoretic approach to black holes, which is remotely
analogous to the eightfold-way for mesons. As the black hole symmetry group we
single out the group SO(2N+1) with N the black hole entropy. The Hilbert space
is identified with the spinor irrep of SO(2N+1). Evaporation processes of
m-quanta are associated to the breaking SO(2N+1) to SO(2(N-m)+1) X SO(2m).
Under these assumptions we get a group-theoretic understanding of the
evaporation process and of some typical time scales of black holes, such as
Page's and scrambling times. We also discuss from the group theory point of
view the mechanism of generation of entanglement both between the black hole
and the radiated quanta as well as among the black hole constituents
themselves.


title:
Nanoscale Dielectric Capacitors Composed of Graphene and Boron Nitride
  Layers: A First Principles Study of High-Capacitance at Nanoscale

abstract:
  We investigate a nanoscale dielectric capacitor model consisting of
two-dimensional, hexagonal h-BN layers placed between two commensurate and
metallic graphene layers using self-consistent field density functional theory.
The separation of equal amounts of electric charge of different sign in
different graphene layers is achieved by applying electric field perpendicular
to the layers. The stored charge, energy, and the electric potential difference
generated between the metallic layers are calculated from the first-principles
for the relaxed structures. Predicted high-capacitance values exhibit the
characteristics of supercapacitors. The capacitive behavior of the present
nanoscale model is compared with that of the classical Helmholtz model, which
reveals crucial quantum size effects at small separations, which in turn recede
as the separation between metallic planes increases.

categories: cond-mat.mes-hall cond-mat.mtrl-sci physics.chem-ph physics.comp-ph


title:
Classical analytic solutions of the non-stationary Navier-Stokes
  equation in two, three and higher dimensions

abstract:
  In this paper we present a method to derive classical solutions of the
Navier-Stokes equations for non-stationary initial value problems in domain
$\mathbb{R}^n$ ($n=2,3$ or higher). Exact solutions in $\mathbb{R}^2$ and
$\mathbb{R}^3$ in the presence of an externally specified force are obtained by
imposing certain restrictions on the initial data.


title: Upcoming Standards in Wireless Local Area Networks

abstract:
  Network technologies are traditionally centered on wireline solutions.
Wireless broadband technologies nowadays provide unlimited broadband usage to
users that have been previously offered simply to wireline users. In this
paper, we discuss some of the upcoming standards of one of the emerging
wireless broadband technology i.e. IEEE 802.11. The newest and the emerging
standards fix technology issues or add functionality that will be expected to
overcome many of the current standing problems with IEEE 802.11.


title: Degenerate coordinate rings of flag varieties and Frobenius splitting

abstract:
  Recently E. Feigin introduced the $\mathbb G_a^N$-degenerations of semisimple
algebraic groups and their associated degenerate flag varieties. It has been
shown by Feigin, Finkelberg, and Littelmann that the degenerate flag varieties
in types $A_n$ and $C_n$ are Frobenius split. In this paper we construct an
associated degeneration of homogeneous coordinate rings of classical flag
varieties in all types and show that these rings are Frobenius split in most
types. It follows that the degenerate flag varieties of types $A_n$, $C_n$ and
$G_2$ are Frobenius split. In particular we obtain an alternate proof of
splitting in types $A_n$ and $C_n$; the case $G_2$ was not previously known. We
also give a representation-theoretic condition on PBW-graded versions of Weyl
modules which is equivalent to the existence of a Frobenius splitting of the
classical flag variety that maximally compatibly splits the identity.


title: Hopf algebras in non-associative Lie theory

abstract:
  We review the developments in the Lie theory for non-associative products
from 2000 to date and describe the current understanding of the subject in view
of the recent works, many of which use non-associative Hopf algebras as the
main tool.


title: Diffeomorphisms preserving R-circles in three dimensional CR manifolds

abstract:
  R-circles in general three dimensional CR manifolds (of contact type) are the
analogues to traces of Lagrangian totally geodesic planes on the sphere viewed
as the boundary of two dimensional complex hyperbolic space. They form a family
of certain legendrian curves on the manifold. We prove that a diffeomorphism
between three dimensional CR manifolds which preserve circles is either a CR
diffeomorphism or conjugate CR diffeomorphism.


title:
Signatures of the collapse and revival of a spin Schr\"{o}dinger cat
  state in a continuously monitored field mode

abstract:
  We study the effects of continuous measurement of the field mode during the
collapse and revival of spin Schr\"{o}dinger cat states in the Tavis-Cummings
model of N qubits (two-level quantum systems) coupled to a field mode. We show
that a compromise between relatively weak and relatively strong continuous
measurement will not completely destroy the collapse and revival dynamics while
still providing enough signal-to-noise resolution to identify the signatures of
the process in the measurement record. This type of measurement would in
principle allow the verification of the occurrence of the collapse and revival
of a spin Schr\"{o}dinger cat state.


title: K-stability of relative flag varieties

abstract:
  We generalise partial results about the Yau-Tian-Donaldson correspondence on
ruled manifolds to bundles whose fibre is a classical flag variety. This is
done using Chern class computations involving the combinatorics of Schur
functors. The strongest results are obtained when working over a Riemann
surface. Weaker partial results are obtained for adiabatic polarisations over a
base of arbitrary dimension.
  We develop the notion of relative K-stability which embeds the idea of
working over a base variety into the theory of K-stability. Natural
constructions in filtered algebras equip the collection of test configuration
with extra structures. We illustrate these constructions with several examples.


title: Statistical entropy of a BTZ black hole in topologically massive gravity

abstract:
  The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in
topologically massive gravity had been given with the form inconsistent with
the Bekenstein-Hawking entropy. In the paper, we provide a consistent
statistical interpretation for the entropy, and confirm it to be thermodynamic
entropy by preserving the first and second laws. As a novel extension, the
logarithmic correction to the black hole entropy is also discussed.


title: Secretly Eccentric: The Giant Planet and Activity Cycle of GJ 328

abstract:
  We announce the discovery of a ~2 Jupiter-mass planet in an eccentric 11-year
orbit around the K7/M0 dwarf GJ 328. Our result is based on 10 years' worth of
radial velocity (RV) data from the Hobby-Eberly and Harlan J. Smith telescopes
at McDonald Observatory, and from the Keck Telescope at Mauna Kea. Our analysis
of GJ 328's magnetic activity via the Na I D features reveals a long-period
stellar activity cycle, which creates an additional signal in the star's RV
curve with amplitude 6-10 m/s. After correcting for this stellar RV
contribution, we see that the orbit of the planet is more eccentric than
suggested by the raw RV data. GJ 328b is currently the most massive,
longest-period planet discovered around a low-mass dwarf.


title: Norm forms for arbitrary number fields as products of linear polynomials

abstract:
  Let K/Q be a field extension of finite degree and let P(t) be a polynomial
over Q that splits into linear factors over Q. We show that any smooth model of
the affine variety defined by the equation N_{K/Q} (k) = P(t) satisfies the
Hasse principle and weak approximation whenever the Brauer-Manin obstruction is
empty. Our proof is based on a combination of methods from additive
combinatorics due to Green-Tao and Green-Tao-Ziegler, together with an
application of the descent theory of Colliot-Th\'el\`ene and Sansuc.


title: The genome of the medieval Black Death agent (extended abstract)

abstract:
  The genome of a 650 year old Yersinia pestis bacteria, responsible for the
medieval Black Death, was recently sequenced and assembled into 2,105 contigs
from the main chromosome. According to the point mutation record, the medieval
bacteria could be an ancestor of most Yersinia pestis extant species, which
opens the way to reconstructing the organization of these contigs using a
comparative approach. We show that recent computational paleogenomics methods,
aiming at reconstructing the organization of ancestral genomes from the
comparison of extant genomes, can be used to correct, order and complete the
contig set of the Black Death agent genome, providing a full chromosome
sequence, at the nucleotide scale, of this ancient bacteria. This sequence
suggests that a burst of mobile elements insertions predated the Black Death,
leading to an exceptional genome plasticity and increase in rearrangement rate.


title:
Molecular Doping of Multilayer MoS2 Field-effect Transistors: Reduction
  in Sheet and Contact Resistances

abstract:
  For the first time, polyethyleneimine (PEI) doping on multilayer MoS2
field-effect transistors are investigated. A 2.6 times reduction in sheet
resistance, and 1.2 times reduction in contact resistance have been achieved.
The enhanced electrical characteristics are also reflected in a 70% improvement
in ON current, and 50% improvement in extrinsic field-effect mobility. The
threshold voltage also confirms a negative shift upon the molecular doping. All
studies demonstrate the feasibility of PEI molecular doping in MoS2
transistors, and its potential applications in layer-structured semiconducting
2D crystals.


title:
Measurement of the top Yukawa Coupling at a 1 TeV International Linear
  Collider using the SiD detector

abstract:
  One of the detector benchmark processes investigated for the SiD Detailed
Baseline Design (DBD) is given by: e+e- -> ttH, where H is the Standard Model
Higgs boson of mass 125 GeV. The study is carried out at a centre-of-mass
energy of 1 TeV and assuming an integrated luminosity of 1 ab-1. The physics
aim is a direct measurement of the top Yukawa coupling at the ILC. Higgs boson
decays to beauty quark-antiquark pairs are reconstructed. The investigated
final states contain eight jets or six jets, one charged lepton and missing
energy. Additionally, four of the jets in signal events are caused by beauty
quark decays. The analysis is based on a full simulation of the SiD detector
using GEANT4. Beam-related backgrounds from gammagamma -> hadrons interactions
and incoherent e+e- pairs are considered. This study addresses various aspects
of the detector performance: jet clustering in complex hadronic final states,
flavour-tagging and the identification of high energy leptons.


title:
Antiferroelectricity and ferroelectricity in epitaxially strained PbZrO3
  from first principles

abstract:
  Density functional calculations are performed to study the effect of
epitaxial strain on PbZrO3. We find a remarkably small energy difference
between the epitaxially strained polar R3c and nonpolar Pbam structures over
the full range of experimentally accessible epitaxial strains -3% < \eta < 4%.
While ferroelectricity is favored for all compressive strains, for tensile
strains the small energy difference between the nonpolar ground state and the
alternative polar phase yields a robust antiferroelectric ground state. The
coexistence of ferroelectricity and antiferroelectricity observed in thin films
is attributed to a combination of strain and depolarization field effects.


title: Generalized Walsh Bases and Applications

abstract:
  We investigate convergence properties of generalized Walsh series associated
with signals $f\in L^1[0,1]$. We also show how the dependence of the
generalized Walsh bases on $N\times N$ unitary matrices allows for applications
in signal encoding and encryption, provided the signals are piece-wise constant
on $N$-adic subintervals of $[0,1]$.


title: The Shadow of a Rotating Traversable Wormhole

abstract:
  We explore the shadow of certain class of rotating traversable wormholes
within classical general relativity. The images depend on the angular momentum
of the wormhole, and the inclination angle of the observer. We compare the
results with the case of the Kerr black hole. For small angular momenta the
shadows for the two solutions are nearly identical, however with the increasing
of the angular momentum they start to deviate considerably.


title:
Study of $B_{(s)}^0 \to K_{\rm S}^0 h^{+} h^{\prime -}$ decays with
  first observation of $B_{s}^0 \to K_{\rm S}^0 K^{\pm} \pi^{\mp}$ and $B_{s}^0
  \to K_{\rm S}^0 \pi^{+} \pi^{-}$

abstract:
  A search for charmless three-body decays of $B^0$ and $B_{s}^0$ mesons with a
$K_{\rm S}^0$ meson in the final state is performed using the $pp$ collision
data, corresponding to an integrated luminosity of $1.0\,\mbox{fb}^{-1}$,
collected at a centre-of-mass energy of $7\mathrm{\,Te\kern -0.1em V}$ recorded
by the LHCb experiment. Branching fractions of the $B_{(s)}^0 \to K_{\rm S}^0
h^{+} h^{\prime -}$ decay modes ($h^{(\prime)} = \pi, K$), relative to the well
measured $B^0 \to K_{\rm S}^0 \pi^{+} \pi^{-}$ decay, are obtained. First
observation of the decay modes $B_s^0 \to K_{\rm S}^0 K^{\pm} \pi^{\mp}$ and
$B_s^0 \to K_{\rm S}^0 \pi^{+} \pi^{-}$ and confirmation of the decay $B^0 \to
K_{\rm S}^0 K^{\pm} \pi^{\mp}$ are reported. The following relative branching
fraction measurements or limits are obtained \begin{eqnarray*} \nonumber
\frac{{\cal B}(B^0 \to K_{\rm S}^0 K^{\pm} \pi^{\mp})}{{\cal B}(B^0 \to K_{\rm
S}^0 \pi^{+} \pi^{-})} &=& 0.128 \pm 0.017 \, ({\rm stat.}) \pm 0.009 \, ({\rm
syst.}) \,, \\ \nonumber \frac{{\cal B}(B^0 \to K_{\rm S}^0 K^{+} K^{-}
)}{{\cal B}(B^0 \to K_{\rm S}^0 \pi^{+} \pi^{-})} &=& 0.385 \pm 0.031 \, ({\rm
stat.}) \pm 0.023 \, ({\rm syst.}) \,, \\ \nonumber \frac{{\cal B}(B_s^0 \to
K_{\rm S}^0 \pi^{+} \pi^{-} )}{{\cal B}(B^0 \to K_{\rm S}^0 \pi^{+} \pi^{-})}
&=& 0.29\phantom{0} \pm 0.06\phantom{0} \, ({\rm stat.}) \pm 0.03\phantom{0} \,
({\rm syst.}) \pm 0.02 \, (f_s/f_d) \,, \\ \nonumber \frac{{\cal B}(B_s^0 \to
K_{\rm S}^0 K^{\pm} \pi^{\mp})}{{\cal B}(B^0 \to K_{\rm S}^0 \pi^{+} \pi^{-})}
&=& 1.48\phantom{0} \pm 0.12\phantom{0} \, ({\rm stat.}) \pm 0.08\phantom{0} \,
({\rm syst.}) \pm 0.12 \, (f_s/f_d) \,, \\ \nonumber \frac{{\cal B}(B_s^0 \to
K_{\rm S}^0 K^{+} K^{-} )}{{\cal B}(B^0 \to K_{\rm S}^0 \pi^{+} \pi^{-})} &\in&
[0.004;0.068] \; {\rm at \;\; 90\% \; CL} \,. \end{eqnarray*}


title:
Commutants of quasihomogeneous Toeplitz operators on the harmonic
  Bergman space

abstract:
  One of the major goals in the theory of Toeplitz operators on the Bergman
space over the unit disk $\mathbb{D}$ in the complex place $\mathbb{C}$ is to
completely describe the commutant of a given Toeplitz operator, that is, the
set of all Toeplitz operators that commute with it. Here we shall study the
commutants of a certain class of quasihomogeneous Toeplitz operators.


title: Copula Calibration

abstract:
  We propose notions of calibration for probabilistic forecasts of general
multivariate quantities. Probabilistic copula calibration is a natural analogue
of probabilistic calibration in the univariate setting. It can be assessed
empirically by checking for the uniformity of the copula probability integral
transform (CopPIT), which is invariant under coordinate permutations and
coordinatewise strictly monotone transformations of the predictive distribution
and the outcome. The CopPIT histogram can be interpreted as a generalization
and variant of the multivariate rank histogram, which has been used to check
the calibration of ensemble forecasts. Climatological copula calibration is an
analogue of marginal calibration in the univariate setting. Methods and tools
are illustrated in a simulation study and applied to compare raw numerical
model and statistically postprocessed ensemble forecasts of bivariate wind
vectors.


title: Positive solutions of a nonlocal Caputo fractional BVP

abstract:
  We discuss the existence of multiple positive solutions for a nonlocal
fractional problem recently considered by Nieto and Pimental. Our approach
relies on classical fixed point index.


title: Brill-Noether Theory of Maximally Symmetric Graphs

abstract:
  We analyze the Brill-Noether theory of trivalent graphs and multigraphs
having largest possible automorphism group in a fixed genus. For trivalent
multigraphs with loops of genus at least 3, we show that there exists a graph
with maximal automorphism group which is Brill-Noether special. We prove
similar results for multigraphs without loops of genus at least 6, as well as
simple graphs of genus at least 7. This analysis yields counterexamples, in any
sufficiently large genus, to a conjecture of Caporaso.


title: Quantum Enhanced Multiple Phase Estimation

abstract:
  We study the simultaneous estimation of multiple phases as a discretised
model for the imaging of a phase object. We identify quantum probe states that
provide an enhancement compared to the best quantum scheme for the estimation
of each individual phase separately, as well as improvements over classical
strategies. Our strategy provides an advantage in the variance of the
estimation over individual quantum estimation schemes that scales as O(d) where
d is the number of phases. Finally, we study the attainability of this limit
using realistic probes and photon-number-resolving detectors. This is a problem
in which an intrinsic advantage is derived from the estimation of multiple
parameters simultaneously.


title:
Subthreshold pion production within a transport description of central
  Au+Au collisions

abstract:
  Mapping out the equation of state (EOS) of nuclear matter is a long standing
problem in nuclear physics. Recent emphasis is onto the density dependence of
the symmetry energy, with experiments needing dedicated symmetry-energy
observables. Towards the latter goal, we employ pBUU transport model to
simulate pion production in heavy ion collision (HIC). We find that the net
pion yield tests the momentum dependence of nuclear mean field (MF). In
exploring the sensitivity of pion observables to the symmetry energy at higher
than normal densities, we find that our calculations of pion ratios contradict,
at some level, predictions from both IBUU and ImIQMD models. We propose to
employ the pion ratio in the high-energy tail of spectra in future experiments,
to distinguish between different variants of high-density symmetry energy.


title: Good Modulating Sequences for the Ergodic Hilbert Transform

abstract:
  This article investigates classes of bounded sequences of complex numbers
that are universally good for the ergodic Hilbert transform in L_p-spaces,
2\leq p\leq \infty : The class of bounded Besicovitch sequences satisfying a
rate condition is among such sequence classes.


title: Chiral Phases of Superfluid 3He in an Anisotropic Medium

abstract:
  I report theoretical analysis and predictions for the equilibrium phases of
superfluid 3He infused into a low-density, homogeneous uniaxial aerogel.
Ginzburg-Landau (GL) theory for a class of equal-spin-pairing (ESP) states in a
medium with uniaxial anisotropy is developed and used to analyze recent
experiments on uniaxially strained aerogels. For 3He in an axially "stretched"
aerogel GL theory predicts a transition from normal liquid into a chiral ABM
phase at T_c1 in which the chirality axis, l, is aligned along the strain axis.
This orbitally aligned state, is protected from random fluctuations in the
anisotropy direction, has a positive NMR frequency shift, a sharp NMR resonance
line and is identified with the high-temperature ESP-1 phase of superfluid 3He
in axially stretched aerogel. A second transition into a biaxial phase is
predicted to onset at a slightly lower temperature, T_c2 < T_c1. This phase is
an ESP state, breaks time-reversal symmetry, and is defined by an orbital order
parameter that spontaneously breaks axial rotation symmetry. This transition is
driven by the coupling of an axially aligned 1D "polar" order parameter to the
two time-reversed 2D axial ABM states. The biaxial phase has a continuous
degeneracy associated with the projection of its chiral axis in the plane
normal to the anisotropy axis. Theoretical predictions for the NMR frequency
shifts of the biaxial phase provide an identification of the ESP-2 as the
biaxial state, partially disordered by random anisotropy (Larkin-Imry-Ma
effect). The "width" of the jump in the NMR frequency shift at T_c2 provides an
estimate of the orbital domain size, xi_LIM ~ 5 mu-m at 18 bar.


title: On the functoriality of marked families

abstract:
  The application of methods of computational algebra has recently introduced
new tools for the study of Hilbert schemes. The key idea is to define flat
families of ideals endowed with a scheme structure whose defining equations can
be determined by algorithmic procedures. For this reason, several authors
developed new methods, based on the combinatorial properties of Borel-fixed
ideals, that allow to associate to each ideal $J$ of this type a scheme
$\mathbf{Mf}_{J}$, called $J$-marked scheme. In this paper we provide a solid
functorial foundation to marked schemes and show that the algorithmic
procedures introduced in previous papers do not depend on the ring of
coefficients. We prove that for all strongly stable ideals $J$, the marked
schemes $\mathbf{Mf}_{J}$ can be embedded in a Hilbert scheme as locally closed
subschemes, and that they are open under suitable conditions on $J$. Finally,
we generalize Lederer's result about Gr\"obner strata of zero-dimensional
ideals, proving that Gr\"obner strata of any ideals are locally closed
subschemes of Hilbert schemes.


title: Inhibition causes ceaseless dynamics in networks of excitable nodes

abstract:
  The collective dynamics of a network of excitable nodes changes dramatically
when inhibitory nodes are introduced. We consider inhibitory nodes which may be
activated just like excitatory nodes but, upon activating, decrease the
probability of activation of network neighbors. We show that, although the
direct effect of inhibitory nodes is to decrease activity, the collective
dynamics becomes self-sustaining. We explain this counterintuitive result by
defining and analyzing a "branching function" which may be thought of as an
activity-dependent branching ratio. The shape of the branching function implies
that for a range of global coupling parameters dynamics are self-sustaining.
Within the self-sustaining region of parameter space lies a critical line along
which dynamics take the form of avalanches with universal scaling of size and
duration, embedded in ceaseless timeseries of activity. Our analyses, confirmed
by numerical simulation, suggest that inhibition may play a counterintuitive
role in excitable networks.


title:
Visualizing the strain evolution during the indentation of colloidal
  glasses

abstract:
  We use an analogue of nanoindentation on a colloidal glass to elucidate the
incipient plastic deformation of glasses. By tracking the motion of the
individual particles in three dimensions, we visualize the strain field and
glass structure during the emerging deformation. At the onset of flow, we
observe a power-law distribution of strain indicating strongly correlated
deformation, and reflecting a critical state of the glass. At later stages, the
strain acquires a Gaussian distribution, indicating that plastic events become
uncorrelated. Investigation of the glass structure using both static and
dynamic measures shows a weak correlation between the structure and the
emerging strain distribution. These results indicate that the onset of
plasticity is governed by strong power-law correlations of strain, weakly
biased by the heterogeneous glass structure.


title: The general M5-brane superconformal index

abstract:
  We calculate and study the general superconformal index for the 6d U(N) (2,0)
theory with four chemical potentials, from the indices of gauge theories on
CP^2 x R. Our index agrees with the large N supergravity index on AdS_7 x S^4
at low energies, and also yields the negative 'Casimir energy' with an N^3
scaling which was recently calculated from a QFT on S^5. Our approach also
suggests a systematic study of the (1,0) superconformal indices.


title:
Resolution in Linguistic Propositional Logic based on Linear Symmetrical
  Hedge Algebra

abstract:
  The paper introduces a propositional linguistic logic that serves as the
basis for automated uncertain reasoning with linguistic information. First, we
build a linguistic logic system with truth value domain based on a linear
symmetrical hedge algebra. Then, we consider G\"{o}del's t-norm and t-conorm to
define the logical connectives for our logic. Next, we present a resolution
inference rule, in which two clauses having contradictory linguistic truth
values can be resolved. We also give the concept of reliability in order to
capture the approximative nature of the resolution inference rule. Finally, we
propose a resolution procedure with the maximal reliability.


title: Geometry of $H$-paracontact metric manifolds

abstract:
  We introduce and study $H$-paracontact metric manifolds, that is, paracontact
metric manifolds whose Reeb vector field $\xi$ is harmonic. We prove that they
are characterized by the condition that $\xi$ is a Ricci eigenvector. We then
investigate how harmonicity of the Reeb vector field $\xi$ of a paracontact
metric manifold is related to some other relevant geometric properties, like
infinitesimal harmonic transformations and paracontact Ricci solitons.


title: Microwave Bragg-scattering zone-axis-pattern analysis

abstract:
  Louis deBroglie's connection between momentum and spatial-frequency vectors
is perhaps most viscerally-experienced via the real-time access that
electron-diffraction provides to transverse slices of a nano-crystal's
reciprocal-lattice. The classic introductory (and/or advanced) physics
lab-experiment on microwave Bragg-scattering can with a bit of re-arrangement
also give students access to "zone-axis-pattern" slices through the 3D
spatial-frequency (i.e. reciprocal) lattice of a ball-bearing crystal, which
may likewise contain only a few unit-cells.
  In this paper we show how data from the standard experimental set-up can be
used to generate zone-axis-patterns oriented down the crystal rotation-axis.
This may be used to give students direct experience with interpretation of
lattice-fringe image power-spectra, and with nano-crystal electron-diffraction
patterns, as well as with crystal shape-transforms that we use here to explain
previously mis-identified peaks in the microwave data.


title:
Evidence for hydrogen two-level systems in atomic layer deposition
  oxides

abstract:
  Two-level system (TLS) defects in dielectrics are known to limit the
performance of electronic devices. We study TLS using millikelvin microwave
loss measurements of three atomic layer deposited (ALD) oxide
films--crystalline BeO ($\rm{c-BeO}$), amorphous $\rm{Al_2O_3}$
($\rm{a-Al_2O_3}$), and amorphous $\rm{LaAlO_3}$ ($\rm{a-LaAlO_3}$)--and
interpret them with room temperature characterization measurements. We find
that the bulk loss tangent in the crystalline film is 6 times higher than in
the amorphous films. In addition, its power saturation agrees with an amorphous
distribution of TLS. Through a comparison of loss tangent data to secondary ion
mass spectrometry (SIMS) impurity analysis we find that the dominant loss in
all film types is consistent with hydrogen-based TLS. In the amorphous films
excess hydrogen is found at the ambient-exposed surface, and we extract the
associated hydrogen-based surface loss tangent. Data from films with a factor
of 40 difference in carbon impurities revealed that carbon is currently a
negligible contributor to TLS loss.


title: Shear shocks in fragile networks

abstract:
  A minimal model for studying the mechanical properties of amorphous solids is
a disordered network of point masses connected by unbreakable springs. At a
critical value of its mean connectivity, such a network becomes fragile: it
undergoes a rigidity transition signaled by a vanishing shear modulus and
transverse sound speed. We investigate analytically and numerically the linear
and non-linear visco-elastic response of these fragile solids by probing how
shear fronts propagate through them. Our approach, that we tentatively label
shear front rheology, provides an alternative route to standard oscillatory
rheology. In the linear regime, we observe at late times a diffusive broadening
of the fronts controlled by an effective shear viscosity that diverges at the
critical point. No matter how small the microscopic coefficient of dissipation,
strongly disordered networks behave as if they were over-damped because energy
is irreversibly leaked into diverging non-affine fluctuations. Close to the
transition, the regime of linear response becomes vanishingly small: the
tiniest shear strains generate strongly non-linear shear shock waves
qualitatively different from their compressional counterparts in granular
media. The inherent non-linearities trigger an energy cascade from low to high
frequency components that keep the network away from attaining the quasi-static
limit. This mechanism, reminiscent of acoustic turbulence, causes a
super-diffusive broadening of the shock width.


title: Tight Lower Bounds for Homology Inference

abstract:
  The homology groups of a manifold are important topological invariants that
provide an algebraic summary of the manifold. These groups contain rich
topological information, for instance, about the connected components, holes,
tunnels and sometimes the dimension of the manifold. In earlier work, we have
considered the statistical problem of estimating the homology of a manifold
from noiseless samples and from noisy samples under several different noise
models. We derived upper and lower bounds on the minimax risk for this problem.
In this note we revisit the noiseless case. In previous work we used Le Cam's
lemma to establish a lower bound that differed from the upper bound of Niyogi,
Smale and Weinberger by a polynomial factor in the condition number.
  In this note we use a different construction based on the direct analysis of
the likelihood ratio test to show that the upper bound of Niyogi, Smale and
Weinberger is in fact tight, thus establishing rate optimal asymptotic minimax
bounds for the problem. The techniques we use here extend in a straightforward
way to the noisy settings considered in our earlier work.


title:
A Rejection Principle for Sequential Tests of Multiple Hypotheses
  Controlling Familywise Error Rates

abstract:
  We present a unifying approach to multiple testing procedures for sequential
(or streaming) data by giving sufficient conditions for a sequential multiple
testing procedure to control the familywise error rate (FWER), extending to the
sequential domain the work of Goeman and Solari (2010) who accomplished this
for fixed sample size procedures. Together we call these conditions the
"rejection principle for sequential tests," which we then apply to some
existing sequential multiple testing procedures to give simplified
understanding of their FWER control. Next the principle is applied to derive
two new sequential multiple testing procedures with provable FWER control, one
for testing hypotheses in order and another for closed testing. Examples of
these new procedures are given by applying them to a chromosome aberration data
set and to finding the maximum safe dose of a treatment.


title:
Deconfinement transition in protoneutron star cores: Analysis within the
  MIT Bag model

abstract:
  We analyze the effect of color superconductivity in the transition from hot
hadron matter to quark matter in the presence of a gas of trapped electron
neutrinos. We adopt a two-phase picture in which the hadronic phase is
described trough a nonlinear Walecka model and just deconfined matter through
the MIT bag model including color superconductivity. We compare the present
results with those obtained within the NJL model.


title:
Putting water on a lattice: The importance of long wavelength density
  fluctuations in theories of hydrophobic and interfacial phenomena

abstract:
  The physics of air-water interfaces plays a central role in modern theories
of the hydrophobic effect. Implementing these theories, however, has been
hampered by the difficulty of addressing fluctuations in the shape of such soft
interfaces. We show that this challenge is a fundamental consequence of mapping
long wavelength density variations onto discrete degrees of freedom. Drawing
from studies of surface roughness in lattice models, we account for the
resulting nonlinearities simply but accurately. Simulations show that this
approach captures complex solvation behaviors quantitatively.


title:
Numerical simulation of non-steady state neutron kinetics of the TRIGA
  Mark II reactor Vienna

abstract:
  This paper presents an algorithm for numerical simulations of non-steady
states of the TRIGA MARK II reactor in Vienna, Austria.
  The primary focus of this work has been the development of an algorithm which
provides time series of integral neutron flux after reactivity changes
introduced by perturbations without the usage of thermal-hydraulic / neutronic
numerical code systems for the TRIGA reactor in Vienna, Austria. The algorithm
presented takes into account both external reactivity changes as well as
internal reactivity changes caused by feedback mechanisms like effects caused
by temperature changes of the fuel and poisoning effects. The resulting time
series have been compared to experimental results.


title:
Stability and bifurcation in network traffic flow: A Poincar\'e map
  approach

abstract:
  Previous studies have shown that, in a diverge-merge network with two
intermediate links (the DM network), the kinematic wave model always admits
stationary solutions under constant boundary conditions, but periodic
oscillations can develop from empty initial conditions. Such contradictory
observations suggest that the stationary states be unstable. In this study we
develop a new approach to investigate the stability property of traffic flow in
this and other networks. Based on the observation that kinematic waves
propagate in a circular path when only one of the two intermediate links is
congested, we derive a one-dimensional, discrete Poincar\'e map in the out-flux
at a Poincar\'e section. We then prove that the fixed points of the Poincar\'e
map correspond to stationary flow-rates on the two links. With Lyapunov's first
method, we demonstrate that the Poincar\'e map can be finite-time stable,
asymptotically stable, or unstable. When unstable, the map is found to have
periodical points of period two, but no chaotic solutions. Comparing the
results with those in existing studies, we conclude that the Poincar\'e map can
be used to represent network-wide dynamics in the kinematic wave model. We
further analyze the bifurcation in the stability of the Poincar\'e map caused
by varying route choice proportions. We further apply the Poincar\'e map
approach to analyzing traffic patterns in more general $(DM)^n$ and beltway
networks, which are sufficient and necessary structures for network-induced
unstable traffic and gridlock, respectively. This study demonstrates that the
Poincar\'e map approach can be efficiently applied to analyze traffic dynamics
in any road networks with circular information propagation and provides new
insights into unstable traffic dynamics caused by interactions among network
bottlenecks.


title: On some structures of Leibniz algebras

abstract:
  Leibniz algebras are certain generalization of Lie algebras. In this paper we
survey the important results in Leibniz algebras which are analogs of
corresponding results in Lie algebras. In particular we highlight the
differences between Leibniz algebras and Lie algebras.


title: Black-hole lattices

abstract:
  The construction of black-hole lattices, first attempted by Richard Lindquist
and John Wheeler in 1957, has recently been tackled with renewed interest, as a
test bed for studying the behavior of inhomogeneities in the context of the
backreaction problem. In this contribution, I discuss how black-hole lattices
can help shed light on two important issues, and illustrate the conclusions
reached so far in the study of these systems.


title: A note on $U_q(D_4^{(3)})$ - Demazure crystals

abstract:
  We show that there exists a suitable sequence $\{w^{(k)}\}_{k \ge 0}$ of Weyl
group elements for the perfect crystal $B = B^{1,3l}$ such that the path
realizations of the Demazure crystals $B_{w^{(k)}}(l\Lambda_2)$ for the quantum
affine algebra $U_q(D_4^{(3)})$ have tensor product like structure with mixing
index $\kappa =1$.


title:
Tensor Product Decomposition of $\hat{\mathfrak{sl}}(n)$ Modules and
  Identities

abstract:
  We decompose the $\hat{\mathfrak{sl}}(n)$-module $V(\Lambda_0) \otimes
V(\Lambda_i)$ and give generating function identities for the outer
multiplicities. In the process we discover some seemingly new partition
identities for $n=3, 4$.


title:
Correlations and Renormalization of the Electron-Phonon Coupling in the
  Honeycomb Hubbard Ladder and Superconductivity in Polyacene

abstract:
  We have performed extensive density matrix renormalization group (DMRG)
studies of the Hubbard model on a honeycomb ladder. The band structure (with
Hubbard U=0) exhibits an unusual quadratic band touching at half filling, which
is associated with a quantum Lifshitz transition from a band insulator to a
metal. %SAK as a function of a third-neighbor hopping parameter. For one
electron per site, non-zero $U$ drives the system into an insulating state in
which there is no pair-binding between added electrons; this implies that
superconductivity driven directly by the repulsive electron-electron
interactions is unlikely in the regime of small doping, $x\ll 1$. However, the
divergent density of states as $x\to 0$, the large values of the phonon
frequencies, and an unusual correlation induced enhancement of the
electron-phonon coupling imply that lightly doped polyacenes, which
approximately realize this structure, are good candidates for high temperature
electron-phonon driven superconductivity.


title: Relativistic Viscous Hydrodynamics for High Energy Heavy Ion Collisions

abstract:
  It has been over a decade since the first experimental data from gold nuclei
collisions at the Relativistic Heavy Ion Collider suggested hydrodynamic
behavior. While early ideal hydrodynamical models were surprisingly accurate in
their predictions, they ignored that the large longitudinal velocity gradient
meant that even small shear viscosity would produce large corrections to the
transverse dynamics. In addition, much less was known about the equation of
state predicted by lattice calculations of quantum chromodynamics, which
predicts a soft region as the degrees of freedom change from quarks to hadrons
but no first-order phase transition. Furthermore, the effects of late, dilute
stage rescattering were handled within the hydrodynamic framework to
temperatures where local kinetic equilibrium is difficult to justify. This
dissertation presents a three-dimensional viscous hydrodynamics code with a
realistic equation of state coupled consistently to a hadron resonance gas
calculation. The code presented here is capable of making significant
comparisons to experimental data as part of an effort to learn about the
structure of experimental constraints on the microscopic interactions of dense,
hot quark matter.


title:
Comprehensive analysis of imprinted genes in maize reveals limited
  conservation with other species and allelic variation for imprinting

abstract:
  In plants, a subset of genes exhibit imprinting in endosperm tissue such that
expression is primarily from the maternal or paternal allele. Imprinting may
arise as a consequence of mechanisms for silencing of transposons during
reproduction, and in some cases imprinted expression of particular genes may
provide a selective advantage such that it is conserved across species.
Separate mechanisms for the origin of imprinted expression patterns and
maintenance of these patterns may result in substantial variation in the
targets of imprinting in different species. Here we present deep sequencing of
RNAs isolated from reciprocal crosses of four diverse maize genotypes,
providing a comprehensive analysis of imprinting in maize that allows
evaluation of imprinting at more than 95% of endosperm-expressed genes. We find
that over 500 genes exhibit statistically significant parent-of-origin effects
in maize endosperm tissue, but focused our analyses on a subset of these genes
that had >90% expression from the maternal allele (69 genes) or from the
paternal allele (108 genes) in at least one reciprocal cross. Over 10% of
imprinted genes show evidence of allelic variation for imprinting. A comparison
of imprinting in maize and rice reveals that only 13% of genes with syntenic
orthologs in both species exhibit conserved imprinting. Genes that exhibit
conserved imprinting in maize relative to rice have elevated dN/dS ratios
compared to other imprinted genes, suggesting a history of more rapid
evolution. Together, these data suggest that imprinting only has functional
relevance at a subset of loci that currently exhibit imprinting in maize.


title: A real-time software simulator for scanning force microscopy

abstract:
  We describe software that simulates the hardware of a scanning force
microscope. The essential feature of the software is its real-time response,
which is critical for mimicking the behavior of real scanning probe hardware.
The simulator runs on an open-source real time Linux kernel, and can be used to
test scanning probe microscope control software as well as theoretical models
of different types of scanning probe microscopes. We describe the
implementation of a tuning-fork based atomic force microscope and a dc
electrostatic force microscope, and present representative images obtained from
these models.


title: An effective field theory for non-relativistic Majorana neutrinos

abstract:
  Heavy Majorana neutrinos enter in many scenarios of physics beyond the
Standard Model: in the original seesaw mechanism they provide a natural
explanation for the small masses of the Standard Model neutrinos and in the
simplest leptogenesis framework they are at the origin of the baryonic matter
of the universe. In this paper, we develop an effective field theory for
non-relativistic Majorana particles, which is analogous to the heavy-quark
effective theory. Then, we apply it to the case of a heavy Majorana neutrino
decaying in a hot and dense plasma of Standard Model particles, whose
temperature is much smaller than the mass of the Majorana neutrino but still
much larger than the electroweak scale. The neutrino width gets
zero-temperature contributions that can be computed from in-vacuum matrix
elements, and thermal corrections. Only the latter will be addressed. Symmetry
and power counting arguments made manifest by the effective field theory
restrict the form of the thermal corrections and simplify their calculation.
The final result agrees with recent determinations obtained with different
methods. The effective field theory presented here is suitable to be used for a
variety of different models involving non-relativistic Majorana fermions.


title:
Powering the Second 2012 Outburst of SN 2009ip by Repeating Binary
  Interaction

abstract:
  We propose that the major 2012 outburst of the supernova impostor SN 2009ip
was powered by an extended and repeated interaction between the Luminous Blue
Variable (LBV) and a more compact companion. Motivated by the recent analysis
of Margutti et al. (2013) of ejected clumps and shells we consider two
scenarios. In both scenarios the major 2012b outburst with total (radiated +
kinetic) energy of ~5 x 10^{49} erg was powered by accretion of 2-5 solar
masses onto the companion during a periastron passage (the first passage) of
the binary system approximately 20 days before the observed maximum of the
light curve. In the first scenario, the surviving companion scenario, the
companion was not destructed and still exists in the system after the outburst.
It ejected partial shells (or collimated outflows or clumps) for two
consecutive periastron passages after the major one. The orbital period was
reduced from ~38 days to ~25 days as a result of the mass transfer process that
took place during the first periastron passage. In the second scenario, the
merger scenario, some partial shells/clumps were ejected also in a second
periastron passage that took place ~20 days after the first one. After this
second periastron passage the companion dived too deep into the LBV envelope to
launch more outflows, and merged with the LBV.


title: Probability-Matching Predictors for Extreme Extremes

abstract:
  A location- and scale-invariant predictor is constructed which exhibits good
probability matching for extreme predictions outside the span of data drawn
from a variety of (stationary) general distributions. It is constructed via the
three-parameter {\mu, \sigma, \xi} Generalized Pareto Distribution (GPD). The
predictor is designed to provide matching probability exactly for the GPD in
both the extreme heavy-tailed limit and the extreme bounded-tail limit, whilst
giving a good approximation to probability matching at all intermediate values
of the tail parameter \xi. The predictor is valid even for small sample sizes
N, even as small as N = 3.
  The main purpose of this paper is to present the somewhat lengthy derivations
which draw heavily on the theory of hypergeometric functions, particularly the
Lauricella functions. Whilst the construction is inspired by the Bayesian
approach to the prediction problem, it considers the case of vague prior
information about both parameters and model, and all derivations are undertaken
using sampling theory.


title: Positive Knots and Lagrangian Fillability

abstract:
  This paper explores the relationship between the existence of an exact
embedded Lagrangian filling for a Legendrian knot in the standard contact
$\rr^3$ and the hierarchy of positive, strongly quasi-positive, and
quasi-positive knots. On one hand, results of Eliashberg and especially Boileau
and Orevkov show that every Legendrian knot with an exact, embedded Lagrangian
filling is quasi-positive. On the other hand, we show that if a knot type is
positive, then it has a Legendrian representative with an exact embedded
Lagrangian filling. Further, we produce examples that show that strong
quasi-positivity and fillability are independent conditions.


title:
Unraveling quantum mechanical effects in water using isotopic
  fractionation

abstract:
  When two phases of water are at equilibrium, the ratio of hydrogen isotopes
in each is slightly altered due to their different phase affinities. This
isotopic fractionation process can be utilized to analyze water's movement in
the world's climate. Here we show that equilibrium fractionation ratios, an
entirely quantum mechanical property, also provide a sensitive probe to assess
the magnitude of nuclear quantum fluctuations in water. By comparing the
predictions of a series of water models, we show that those describing the OH
chemical bond as rigid or harmonic greatly over-predict the magnitude of
isotope fractionation. Models that account for anharmonicity in this coordinate
are shown to provide much more accurate results due to their ability to give
partial cancellation between inter and intra-molecular quantum effects. These
results give evidence of the existence of competing quantum effects in water
and allow us to identify how this cancellation varies across a wide range of
temperatures. In addition, this work demonstrates that simulation can provide
accurate predictions and insights into hydrogen fractionation.


title:
First direct comparison of non-disrupting neutron star-black hole and
  binary black hole merger simulations

abstract:
  We present the first direct comparison of numerical simulations of neutron
star-black hole and black hole-black hole mergers in full general relativity.
We focus on a configuration with non spinning objects and within the most
likely range of mass ratio for neutron star-black hole systems (q=6). In this
region of the parameter space, the neutron star is not tidally disrupted prior
to merger, and we show that the two types of mergers appear remarkably similar.
The effect of the presence of a neutron star on the gravitational wave signal
is not only undetectable by the next generation of gravitational wave
detectors, but also too small to be measured in the numerical simulations: even
the plunge, merger and ringdown signals appear in perfect agreement for both
types of binaries. The characteristics of the post-merger remnants are equally
similar, with the masses of the final black holes agreeing within dM< 5
10^{-4}M_BH and their spins within da< 10^{-3}M_BH. The rate of periastron
advance in the mixed binary agrees with previously published binary black hole
results, and we use the inspiral waveforms to place constraints on the accuracy
of our numerical simulations independent of algorithmic choices made for each
type of binary. Overall, our results indicate that non-disrupting neutron
star-black hole mergers are exceptionally well modeled by black hole-black hole
mergers, and that given the absence of mass ejection, accretion disk formation,
or differences in the gravitational wave signals, only electromagnetic
precursors could prove the presence of a neutron star in low-spin systems of
total mass ~10Msun, at least until the advent of gravitational wave detectors
with a sensitivity comparable to that of the proposed Einstein Telescope.


title: Critical dislocation speed in helium-4 crystals

abstract:
  Our experiments show that in $^4$He crystals, the binding of $^3$He
impurities to dislocations does not necessarily imply their pinning. Indeed, in
these crystals, there are two different regimes of the motion of dislocations
when impurities bind to them. At lowdriving strain $\epsilon$ and frequency
$\omega$, where the dislocation speed is less than a critical value (45
$\mu$m/s), dislocations and impurities apparently move together. Impurities
really pin the dislocations only at higher values of $\omega$. The critical
speed separating the two regimes is two orders of magnitude smaller than the
average speed of free $^3$He impurities in the bulk crystal lattice.We obtained
this result by studying the dissipation of dislocation motion as a function of
the frequency and amplitude of a driving strain applied to a crystal at low
temperature. Our results solve an apparent contradiction between some
experiments, which showed a frequency-dependent transition temperature from a
soft to a stiff state, and other experiments or models where this temperature
was assumed to be independent of frequency. The impurity pinning mechanism for
dislocations appears to be more complicated than previously assumed.


title: p-adic Stirling numbers of the second kind

abstract:
  Let S(n,k) denote the Stirling numbers of the second kind. We prove that the
p-adic limit of S(p^e a + c, p^e b + d) as e goes to infinity exists for all
integers a, b, c, and d. We call the limiting p-adic integer S(p^\infty a + c,
p^\infty b + d). When a equiv b mod (p-1) or d \le 0, we express them in terms
of p-adic binomial coefficients introduced in a recent paper.


title:
Nonlocal constitutive laws generated by matrix functions: Lattice
  Dynamics Models and their Continuum Limits

abstract:
  We analyze one-dimensional discrete and quasi-continuous linear chains of
$N>>1$ equidistant and identical mass points with periodic boundary conditions
and generalized nonlocal interparticle interactions in the harmonic
approximation. We introduce elastic potentials which define by Hamilton's
principle discrete "Laplacian operators" ("Laplacian matrices") which are
operator functions ($N\times N$-matrix functions) of the Laplacian of the
Born-von-Karman linear chain with next neighbor interactions. The non-locality
of the constitutive law of the present model is a natural consequence of the
{\it non-diagonality} of these Laplacian matrix functions in the $N$
dimensional vector space of particle displacement fields where the periodic
boundary conditions (cyclic boundary conditions) and as a consequence the
(Bloch-) eigenvectors of the linear chain are maintained. In the
quasi-continuum limit (long-wave limit) the Laplacian matrices yield "Laplacian
convolution kernels" (and the related elastic modulus kernels) of the non-local
constitutive law. The elastic stability is guaranteed by the positiveness of
the elastic potentials. We establish criteria for "weak" and "strong"
nonlocality of the constitutive behavior which can be controlled by scaling
behavior of material constants in the continuum limit when the interparticle
spacing $h\rightarrow 0$. The approach provides a general method to generate
physically admissible (elastically stable) {\it non-local constitutive laws} by
means of "simple" Laplacian matrix functions. The model can be generalized to
model non-locality in $n=2,3,..$ dimensions of the physical space.


title:
In-situ gamma spectrometry measurements of time-dependent Xenon-135
  inventory in the TRIGA Mark II reactor Vienna

abstract:
  In this work, it has been shown that the time dependent Xe-135 inventory in
the TRIGA Mark II reactor in Vienna, Austria can be measured via gamma
spectrometry even in the presence of strong background radiation. It is
focussing on the measurement of (but not limited to) the nuclide Xe-135.
  The time dependent Xe-135 inventory of the TRIGA Mark II reactor Vienna has
been measured using a temporary beam line between one fuel element of the core
placed onto the thermal column after shutdown and a detector system located
just above the water surface of the reactor tank. For the duration of one week,
multiple gamma ray spectra were recorded automatically, starting each afternoon
after reactor shutdown until the next morning. One measurement series has been
recorded over the weekend.
  The Xe-135 peaks were extracted from a total of 1227 recorded spectra using
an automated peak search algorithm and analyzed for their time-dependent
properties. Although the background gamma radiation present in the core after
shutdown was large especially in the lower energy range, the Xe-135 peak
located at 249.8 keV could be extracted from the most spectra where present and
could be compared to theoretical calculations.


title: Deformed Supersymmetric Mechanics

abstract:
  Motivated by a recent interest in curved rigid supersymmetries, we construct
a new type of N=4, d=1 supersymmetric systems by employing superfields defined
on the cosets of the supergroup SU(2|1). The relevant worldline supersymmetry
is a deformation of the standard N=4, d=1 supersymmetry by a mass parameter m.
As instructive examples we consider, at the classical and quantum levels, the
models associated with the supermultiplets (1,4,3) and (2,4,2) and find out
interesting interrelations with some previous works on non-standard d=1
supersymmetry. In particular, the d=1 systems with "weak supersymmetry" are
naturally reproduced within our SU(2|1) superfield approach as a subclass of
the (1,4,3) models. A generalization to the N=8, d=1 case implies the
supergroup SU(2|2) as the candidate deformed worldline supersymmetry.


title:
On the class numbers of the fields of the p^n-torsion points of certain
  elliptic curves over Q

abstract:
  Let E be an elliptic curve over Q with prime conductor p. For each
non-negative integer n we put K_n:=Q(E[p^n]). The aim of this paper is to
estimate the order of the p-Sylow group of the ideal class group of K_n. We
give a lower bounds in terms of the Mordell-Weil rank of $E(\Q)$. As an
application of our result, we give an example such that p^{2n} divides the
class number of the field $K_n$ in the case of $p=5077$ for each positive
integer n.


title: Thermal Evolution of Rotating Neutron Stars

abstract:
  In this work we consider the thermal evolution of rigidly rotating neutron
stars. In order to perform such study we first calculate the structure of
rotating objects, which is considerably more complicated than that of spherical
objects. The structure of rotating neutron stars is obtained by solving
Einstein's equation for a rotationally deformed fluid distributions. The
numerical method used is based on the the KEH. The equation of state used for
computing the neutron star structure and composition is a simple relativistic
mean field model, with parameter set G300. With the structure of rotating
neutron stars computed we calculate the thermal evolution of these objects. In
order to do so, we re-derive the thermal evolution equations to account for the
metric of a rotating object. The cooling of neutron stars with different
frequencies is then calculated. We show that the cooling of the star strongly
depends on the frequency of the object, with higher frequencies stars showing a
substantial temperature difference between the equator and poles.


title: Existence Of Contact Structure

abstract:
  Let $(\Sigma ,\xi ',\omega)$ be a close almost contact $(2n-1)$-manifold.
Then, by McDuff's theorem, we prove that $\xi '$ is homotopic to a contact
structure $\xi $. This answers a question proposed by Chern.


title:
Multimode model for an atomic Bose-Einstein condensate in a ring-shaped
  optical lattice

abstract:
  We study the population dynamics of a ring-shaped optical lattice with a high
number of particles per site and a low, below ten, number of wells. Using a
localized on-site basis defined in terms of stationary states, we were able to
construct a multiple-mode model depending on relevant hopping and on-site
energy parameters. We show that in case of two wells, our model corresponds
exactly to the latest improvement of the two-mode model. We derive a formula
for the self-trapping period, which turns out to be chiefly ruled by the
on-site interaction energy parameter. By comparing to time dependent
Gross-Pitaevskii simulations, we show that the multimode model results can be
enhanced in a remarkable way over all the regimes by only renormalizing such a
parameter. Finally, using a different approach which involves only the ground
state density, we derive an effective interaction energy parameter that shows
to be in accordance with the renormalized one.


title: Generalised Split Octonions and their transformation in SO(7) symmetry

abstract:
  Generators of SO(8) group have been described by using direct product of the
Gamma matrices and the Pauli Sigma matrices. We have obtained these generators
in terms of generalized split octonion also. These generators have been used to
describe the rotational transformation of vectors for SO(7) symmetry group.


title: Minimal Supergravity Models of Inflation

abstract:
  We present a superconformal master action for a class of supergravity models
with one arbitrary function defining the Jordan frame. It leads to a
gauge-invariant action for a real vector multiplet, which upon gauge fixing
describes a massive vector multiplet, or to a dual formulation with a linear
multiplet and a massive tensor field. In both cases the models have one real
scalar, the inflaton, naturally suited for single-field inflation. Vectors and
tensors required by supersymmetry to complement a single real scalar do not
acquire vev's during inflation, so there is no need to stabilize the extra
scalars which are always present in the theories with chiral matter multiplets.
The new class of models can describe any inflaton potential which vanishes at
its minimum and grows monotonically away from the minimum. In this class of
supergravity models one can fit any desirable choice of inflationary parameters
n_s and r.


title: Quantum Quench of the trap frequency in the harmonic Calogero model

abstract:
  We consider a quantum quench of the trap frequency in a system of bosons
interacting through an inverse-square potential and confined in a harmonic trap
(the harmonic Calogero model). We determine exactly the initial state in terms
of the post-quench eigenstates and derive the time evolution of simple physical
observables. Since this model possesses an infinite set of integrals of motion
(IoM) that allow its exact solution, a generalised Gibbs ensemble (GGE), i.e. a
statistical ensemble that takes into account the conservation of all IoM, can
be proposed in order to describe the values of local physical observables long
after the quench. Even though, due to the presence of the trap, physical
observables do not exhibit equilibration but periodic evolution, such a GGE may
still describe correctly their time averaged values. We check this analytically
for the local boson density and find that the GGE conjecture is indeed valid,
in the thermodynamic limit.


title: Another ham sandwich in the plane

abstract:
  We show that every two nice measures in the plane can be partitioned into
equal halves by translation of an angle from arbitrary k-fan when k is odd and
in some cases when k is even. We also give some counterexamples for certain
fans and measures.


title: Bold Diagrammatic Monte Carlo Study of $\phi^4$ Theory

abstract:
  By incorporating renormalization procedure into Bold Diagrammatic Monte Carlo
(BDMC), we propose a method for studying quantum field theories in the strong
coupling regime. BDMC essentially samples Feynman diagrams using local
Metropolis-type updates and does not suffer from the sign problem. Applying the
method to three dimensional $\phi^4$ theory, we analyze the strong coupling
limit of the theory and confirm the existence of a nontrivial IR fixed point in
agreement with prior studies. Interestingly, we find that working with bold
correlation functions as building blocks of the Monte Carlo procedure, renders
the scheme convergent and no further resummation method is needed.


title: The Physics of the Higgs-like Boson

abstract:
  The present knowledge on the Higgs-like boson discovered at the LHC is
summarized. The data accumulated so far are consistent with the Standard Model
predictions and put interesting constraints on alternative scenarios of
electroweak symmetry breaking. The measured couplings to gauge bosons and
third-generation fermions indicate that a Higgs particle has indeed been found.
More precise data are needed to clarify whether it is the unique Higgs boson of
the Standard Model or the first member of a new variety of dynamical (either
elementary or composite) fields.


title:
Intramembrane Cavitation as a Predictive Bio-Piezoelectric Mechanism for
  Ultrasonic Brain Stimulation

abstract:
  Low-intensity ultrasonic waves can remotely and nondestructively excite
central nervous system (CNS) neurons. While diverse applications for this
effect are already emerging, the biophysical transduction mechanism underlying
this excitation remains unclear. Recently, we suggested that ultrasound-induced
intramembrane cavitation within the bilayer membrane could underlie the
biomechanics of a range of observed acoustic bioeffects. In this paper, we show
that, in CNS neurons, ultrasound-induced cavitation of these nanometric bilayer
sonophores can induce a complex mechanoelectrical interplay leading to
excitation, primarily through the effect of currents induced by membrane
capacitance changes. Our model explains the basic features of CNS
acoustostimulation and predicts how the experimentally observed efficacy of
mouse motor cortical ultrasonic stimulation depends on stimulation parameters.
These results support the hypothesis that neuronal intramembrane
piezoelectricity underlies ultrasound-induced neurostimulation, and suggest
that other interactions between the nervous system and pressure waves or
perturbations could be explained by this new mode of biological piezoelectric
transduction.


title: A combinatorial smoothness criterion for spherical varieties

abstract:
  We suggest a combinatorial criterion for the smoothness of an arbitrary
spherical variety using the classification of multiplicity-free spaces,
generalizing an earlier result of Camus for spherical varieties of type $A$.


title: N=1 Geometries via M-theory

abstract:
  We provide an M-theory geometric set-up to describe four-dimensional N=1
gauge theories. This is realized by a generalization of Hitchin's equation.
This framework encompasses a rich class of theories including superconformal
and confining ones. We show how the spectral data of the generalized Hitchin's
system encode the infrared properties of the gauge theory in terms of N=1
curves. For N=1 deformations of N=2 theories in class S, we show how the
superpotential is encoded in an appropriate choice of boundary conditions at
the marked points in different S-duality frames. We elucidate our approach in a
number of cases -- including Argyres-Douglas points, confining phases and
gaugings of T_N theories -- and display new results for linear and generalized
quivers.


title:
Radio afterglows of a complete sample of bright Swift GRBs: predictions
  from present days to the SKA era

abstract:
  Radio observations of Gamma Ray Bursts afterglows are fundamental in
providing insights into their physics and environment, and in constraining the
true energetics of these sources. Nonetheless, radio observations of GRB
afterglows are presently sparse in the time/frequency domain. Starting from a
complete sample of 58 bright Swift long bursts (BAT6), we constructed a
homogeneous sub-sample of 38 radio detections/upper limits which preserves all
the properties of the parent sample. One half of the bursts have detections
between 1 and 5 days after the explosion with typical fluxes F>100 muJy at 8.4
GHz. Through a Population SYnthesis Code coupled with the standard afterglow
Hydrodynamical Emission model (PSYCHE) we reproduce the radio flux distribution
of the radio sub-sample. Based on these results we study the detectability in
the time/frequency domain of the entire long GRB population by present and
future radio facilities. We find that the GRBs that typically trigger Swift can
be detected at 8.4 GHz by JVLA within few days with modest exposures even at
high redshifts. The final SKA can potentially observe the whole GRB population
provided that there will be a dedicated GRB gamma-ray detector more sensitive
than Swift. For a sizable fraction (50%) of these bursts, SKA will allow us to
perform radio-calorimetry, after the trans-relativistic transition (occurring
~100 d), providing an estimate of the true (collimation corrected) energetics
of GRBs.


title: Compton Effect in the Medium with Non-unity Refractive Index

abstract:
  The foundations of the modern quantum theory of electro-magnetic radiation
and its interaction with medium are constituted by the Einstein's theory of
photo-effect and the theory of Compton effect. However, in the theory proposed
by Compton and subsequent refinements, the medium features in explicit form are
not generally accounted at all. This theory is based on the relationship
between the photon momentum and its energy that may take place only in vacuum,
but not in a medium with non-unity refractive index n. Here, we use Abraham's
representation for the momentum of a photon in medium for the creation of a new
consistent Compton effect theory accounting for media features. A new condition
under which anomalous Compton effect is possible, is defined. In our case, due
to the photon scattering on a moving electron, the photon's energy can increase
when the electron velocity is above a threshold value, in analogy with the
Vavilov-Cherenkov radiation effect. In our theory we also provide a new
description of the parameters for scattered electrons, which is important for
the experimental determination of the dependence of the Compton effect in
medium on refractive index n.


title: Total dominator chromatic number and Mycieleskian graphs

abstract:
  A total dominator coloring of a graph $G$ is a proper coloring of $G$ in
which each vertex of the graph is adjacent to every vertex of some color class.
The total dominator chromatic number $\chi_d^t(G)$ of $G$ is the minimum number
of color classes in a total dominator coloring of it. In [Total dominator
chromatic number of a graph, submitted] the author initialed to study this
number in graphs and obtained some important results. Here, we continue it in
Mycieleskian graphs. We show that the total dominator chromatic number of the
Mycieleskian of a graph $G$ belongs to between $\chi_d^t(G)+1$ and
$\chi_d^t(G)+2$, and then characterize the family of graphs the their total
dominator chromatic numbers are each of them.


title: The Densest Galaxy

abstract:
  We report the discovery of a remarkable ultra-compact dwarf galaxy around the
massive Virgo elliptical galaxy NGC 4649 (M60), which we term M60-UCD1. With a
dynamical mass of 2.0 x 10^8 M_sun but a half-light radius of only ~ 24 pc,
M60-UCD1 is more massive than any ultra-compact dwarfs of comparable size, and
is arguably the densest galaxy known in the local universe. It has a
two-component structure well-fit by a sum of Sersic functions, with an
elliptical, compact (r_h=14 pc; n ~ 3.3) inner component and a round,
exponential, extended (r_h=49 pc) outer component. Chandra data reveal a
variable central X-ray source with L_X ~ 10^38 erg/s that could be an active
galactic nucleus associated with a massive black hole or a low-mass X-ray
binary. Analysis of optical spectroscopy shows the object to be old (~> 10 Gyr)
and of solar metallicity, with elevated [Mg/Fe] and strongly enhanced [N/Fe]
that indicates light element self-enrichment; such self-enrichment may be
generically present in dense stellar systems. The velocity dispersion (~ 70
km/s) and resulting dynamical mass-to-light ratio (M/L_V=4.9 +/- 0.7) are
consistent with---but slightly higher than---expectations for an old,
metal-rich stellar population with a Kroupa initial mass function. The presence
of a massive black hole or a mild increase in low-mass stars or stellar
remnants is therefore also consistent with this M/L_V. The stellar density of
the galaxy is so high that no dynamical signature of dark matter is expected.
However, the properties of M60-UCD1 suggest an origin in the tidal stripping of
a nucleated galaxy with M_B ~ -18 to -19.


title: Cosmological Fast Radio Bursts from Binary White Dwarf Mergers

abstract:
  Recently, Thornton et al. reported the detection of four fast radio bursts
(FRBs). The dispersion measures indicate that the sources of these FRBs are at
cosmological distance. Given the large full sky event rate ~ 10^4 sky^-1
day^-1, the FRBs are a promising target for multi-messenger astronomy. Here we
propose double degenerate, binary white-dwarf (WD) mergers as the source of
FRBs, which are produced by coherent emission from the polar region of a
rapidly rotating, magnetized massive WD formed after the merger. The basic
characteristics of the FRBs, such as the energetics, emission duration and
event rate, can be consistently explained in this scenario. As a result, we
predict that some FRBs can accompany type Ia supernovae (SNe Ia) or X-ray
debris disks. Simultaneous detection could test our scenario and probe the
progenitors of SNe Ia, and moreover would provide a novel constraint on the
cosmological parameters. We strongly encourage future SN and X-ray surveys that
follow up FRBs.


title:
X-ray nuclear activity in S4G barred galaxies: No link between bar
  strength and co-occurrent supermassive black hole fueling

abstract:
  Stellar bars can lead to gas inflow toward the center of a galaxy and
stimulate nuclear star formation. However, there is no compelling evidence on
whether they also feed a central supermassive black hole: by measuring the
fractions of barred active and inactive galaxies, previous studies have yielded
conflicting results. In this paper, we aim to understand the lack of
observational evidence for bar-driven active galactic nucleus (AGN) activity by
studying a sample of 41 nearby (d < 35 Mpc) barred galaxies from the Spitzer
Survey for Stellar Structure in Galaxies. We use Chandra observations to
measure nuclear 2--10 keV X-ray luminosities and estimate Eddington ratios,
together with Spitzer 3.6um imaging to quantify the strength of the stellar bar
in two independent ways: (1) from its structure, as traced by its ellipticity
and boxiness, and (2) from its gravitational torque Q_b, taken as the maximum
ratio of the tangential force to the mean background radial force. In this way,
rather than discretizing the presence of both stellar bars and nuclear
activity, we are able to account for the continuum of bar strengths and degrees
of AGN activity. We find nuclear X-ray sources in 31 out of 41 galaxies with
median X-ray luminosity and Eddington ratio of L_X=4.3x10^{38} erg/s and
L_bol/L_Edd=6.9x10^{-6} respectively, consistent with low-luminosity AGN
activity. Including upper limits for those galaxies without nuclear detections,
we find no significant correlation between any of the bar strength indicators
and the degree of nuclear activity, irrespective of galaxy luminosity, stellar
mass, Hubble type, or bulge size. Strong bars do not favor brighter or more
efficient nuclear activity, implying that at least for the low-luminosity
regime, supermassive black hole fueling is not closely connected to large scale
features.


title: Consistent Non-Minimal Couplings of Massive Higher-Spin Particles

abstract:
  The mutual compatibility of the dynamical equations and constraints
describing a massive particle of arbitrary spin, though essential for
consistency, is generically lost in the presence of interactions. The
conventional Lagrangian approach avoids this difficulty, but fails to ensure
light-cone propagation and becomes very cumbersome. In this paper, we take an
alternative route--the involutive form of the equations and constraints--to
guarantee their algebraic consistency. This approach enormously simplifies the
search for consistent interactions, now seen as deformations of the involutive
system, by keeping manifest the causal propagation of the correct number of
degrees of freedom. We consider massive particles of arbitrary integer spin in
electromagnetic and gravitational backgrounds to find their possible
non-minimal local couplings. Apart from easily reproducing some well-known
results, we find restrictions on the backgrounds for consistent propagation of
such a particle in isolation. The results can be altered by non-local
interactions that may arise from additional massive states in the interacting
theory.


title: Large \theta_13 in a SUSY SU(5)xT' Model

abstract:
  In the model based on SUSY SU(5) combined with the T' family symmetry, it is
shown in Phys. Lett. B 652, 34 (2007) and Phys. Lett. B 681, 444 (2009) that
fermion mass hierarchy and mixing angles can be naturally generated in both
lepton and quark sectors compatible with various experimental measurements. But
the predicted value for the non-zero lepton mixing angle of \theta_13 \simeq
\theta_c/3\sqrt{2} contradicts the recent experimental results from Daya Bay
and RENO. We propose to introduce one more singlet flavon field in the neutrino
sector, and with its additional contribution, we are able to generate the large
mixing angle \theta_13 ~ 8^{\circ}-10^{\circ}. The analytical expressions of
the mixing angles and neutrino masses with the additional flavon field are
derived. Our numerical results show that a large region in the model parameter
space is allowed for the normal hierarchy case, while a much smaller region is
allowed for the inverted hierarchy case. In addition, the predicted value of
the solar mixing angle is not affected by the additional singlet contribution.
On the other hand, there exists a correlation between \theta_13 value and
\theta_23 - \pi/4, as a result of the additional singlet contribution. We also
make predictions for various other variables that can be potentially tested in
the future neutrino experiments such as the Dirac CP phase, which is predicted
to be in the range of \delta ~ (195^{\circ}-200^{\circ}), and the neutrinoless
double beta decay matrix element, <m_\beta\beta>. One numerical example with
the minimal \chi^2 fit is presented, and the model predictions are consistent
with all experimental results.


title:
"Direct" Gas-phase Metallicities, Stellar Properties, and Local
  Environments of Emission-line Galaxies at Redshift below 0.90

abstract:
  Using deep narrow-band (NB) imaging and optical spectroscopy from the Keck
telescope and MMT, we identify a sample of 20 emission-line galaxies (ELGs) at
z=0.065-0.90 where the weak auroral emission line, [OIII]4363, is detected at
>3\sigma. These detections allow us to determine the gas-phase metallicity
using the "direct'' method. With electron temperature measurements and dust
attenuation corrections from Balmer decrements, we find that 4 of these
low-mass galaxies are extremely metal-poor with 12+log(O/H) <= 7.65 or
one-tenth solar. Our most metal-deficient galaxy has 12+log(O/H) =
7.24^{+0.45}_{-0.30} (95% confidence), similar to some of the lowest
metallicity galaxies identified in the local universe. We find that our
galaxies are all undergoing significant star formation with average specific
star formation rate (SFR) of (100 Myr)^{-1}, and that they have high central
SFR surface densities (average of 0.5 Msun/yr/kpc^2. In addition, more than
two-thirds of our galaxies have between one and four nearby companions within a
projected radius of 100 kpc, which we find is an excess among star-forming
galaxies at z=0.4-0.85. We also find that the gas-phase metallicities for a
given stellar mass and SFR lie systematically below the local M-Z-(SFR)
relation by \approx0.2 dex (2\sigma\ significance). These results are partly
due to selection effects, since galaxies with strong star formation and low
metallicity are more likely to yield [OIII]4363 detections. Finally, the
observed higher ionization parameter and electron density suggest that they are
lower redshift analogs to typical z>1 galaxies.


title:
Strong UV and X-ray variability of the Narrow Line Seyfert 1 Galaxy WPVS
  007 -- on the nature of the X-ray low state

abstract:
  We report on multi-wavelength observations of the X-ray transient Narrow Line
Seyfert 1 (NLS1) galaxy WPVS 007. The galaxy was monitored with Swift between
October 2005 and July 2013, after it had undergone a dramatic drop in its X-ray
flux earlier. For the first time, we are able to repeatedly detect this NLS1 in
X-rays again. This increased number of detections in the last couple of years
may suggest that the strong absorber that has been found in this AGN is
starting to become leaky, and may eventually disappear. The X-ray spectra
obtained for WPVS 007 are all consistent with a partial covering absorber
model. A spectrum based on the data during the extreme low X-ray flux states
shows that the absorption column density is of the order of 4 x 10^23 cm^-2
with a covering fraction of 95%. WPVS 007 also displays one of the strongest UV
variabilities seen in Narrow Line Seyfert 1s. The UV continuum variability
anti-correlates with the optical/UV slope alpha-UV which suggests that the
variability primarily may be due to reddening. The UV variability time scales
are consistent with moving dust `clouds' located beyond the dust sublimation
radius of approximately 20 ld. We present for the first time near infrared JHK
data of WPVS 007, which reveal a rich emission-line spectrum. Recent optical
spectroscopy does not indicate significant variability in the broad and FeII
emission lines, implying that the ionizing continuum seen by those gas clouds
has not significantly changed over the last decades. All X-ray and UV
observations are consistent with a scenario in which an evolving Broad
Absorption Line (BAL) flow obscures the continuum emission. As such, WPVS 007
is an important target for our understanding of BAL flows in low-mass active
galactic nuclei (AGN).


title:
N-point correlations of dark matter tracers : Renormalization with
  univariate biasing and its O(f_{NL}) terms with bivariate biasing

abstract:
  In this note we extend the results of the model of galaxy biasing recently
proposed in (http://arxiv.org/abs/1212.0868v2). In that paper the authors had
outlined a very precise mathematical framework to deal with the theory of
galaxy biasing. In this work we extend that combinatorial technology to
renormalize tracer n-point functions in their model of univariate biasing. We
further prove that 4 and higher point cumulants of the Bardeen potential don't
have an O(f_{NL}) term. Then we use this observation to extract all the
O(f_{NL}) terms in the n-point correlation of tracers in their model of
bivariate biasing.


title: $\nu\Lambda$CDM: Neutrinos help reconcile Planck with the Local Universe

abstract:
  Current measurements of the low and high redshift Universe are in tension if
we restrict ourselves to the standard six parameter model of flat $\Lambda$CDM.
This tension has two parts. First, the Planck satellite data suggest a higher
normalization of matter perturbations than local measurements of galaxy
clusters. Second, the expansion rate of the Universe today, $H_0$, derived from
local distance-redshift measurements is significantly higher than that inferred
using the acoustic scale in galaxy surveys and the Planck data as a standard
ruler. The addition of a sterile neutrino species changes the acoustic scale
and brings the two into agreement; meanwhile, adding mass to the active
neutrinos or to a sterile neutrino can suppress the growth of structure,
bringing the cluster data into better concordance as well. For our fiducial
dataset combination, with statistical errors for clusters, a model with a
massive sterile neutrino shows 3.5$\sigma$ evidence for a non-zero mass and an
even stronger rejection of the minimal model. A model with massive active
neutrinos and a massless sterile neutrino is similarly preferred. An eV-scale
sterile neutrino mass -- of interest for short baseline and reactor anomalies
-- is well within the allowed range. We caution that 1) unknown astrophysical
systematic errors in any of the data sets could weaken this conclusion, but
they would need to be several times the known errors to eliminate the tensions
entirely; 2) the results we find are at some variance with analyses that do not
include cluster measurements; and 3) some tension remains among the datasets
even when new neutrino physics is included.


title: A Flux Scale for Southern Hemisphere 21cm EoR Experiments

abstract:
  We present a catalog of spectral measurements covering a 100-200 MHz band for
32 sources, derived from observations with a 64-antenna deployment of the
Donald C. Backer Precision Array for Probing the Epoch of Reionization (PAPER)
in South Africa. For transit telescopes such as PAPER, calibration of the
primary beam is a difficult endeavor, and errors in this calibration are a
major source of error in the determination of source spectra. In order to
decrease reliance on accurate beam calibration, we focus on calibrating sources
in a narrow declination range from -46d to -40d. Since sources at similar
declinations follow nearly identical paths through the primary beam, this
restriction greatly reduces errors associated with beam calibration, yielding a
dramatic improvement in the accuracy of derived source spectra. Extrapolating
from higher frequency catalogs, we derive the flux scale using a Monte-Carlo
fit across multiple sources that includes uncertainty from both catalog and
measurement errors. Fitting spectral models to catalog data and these new PAPER
measurements, we derive new flux models for Pictor A and 31 other sources at
nearby declinations. 90% of these confirm and refine a power-law model for flux
density. Of note is the new Pictor A flux model, which is accurate to 1.4% and
shows, in contrast to previous models, that between 100 MHz and 2 GHz, the
spectrum of Pictor A is consistent with a single power law given by a flux at
150 MHz of 382+/-5.4 Jy, and a spectral index of -0.76+/-0.01. This accuracy
represents an order of magnitude improvement over previous measurements in this
band, and is limited by the uncertainty in the catalog measurements used to
estimate the absolute flux scale. The simplicity and improved accuracy of
Pictor A's spectrum make it an excellent calibrator for experiments seeking to
measure 21cm emission from the Epoch of Reionization.


title: Moonshine in Fivebrane Spacetimes

abstract:
  We consider type II superstring theory on $K3 \times S^1 \times
\mathbb{R}^{1,4}$ and study perturbative BPS states in the near-horizon
background of two Neveu-Schwarz fivebranes whose world-volume wraps the $K3
\times S^1$ factor. These states are counted by the spacetime helicity
supertrace $\chi_2(\tau)$ which we evaluate. We find a simple expression for
$\chi_2(\tau)$ in terms of the completion of the mock modular form
$H^{(2)}(\tau)$ that has appeared recently in studies of the decomposition of
the elliptic genus of K3 surfaces into characters of the N=4 superconformal
algebra and which manifests a moonshine connection to the Mathieu group
$M_{24}$.


title:
Universal aspects in the behavior of the entanglement spectrum in one
  dimension: scaling transition at the factorization point and ordered
  entangled structures

abstract:
  We investigate the scaling of the entanglement spectrum and of the R\'enyi
block entropies and determine its universal aspects in the ground state of
critical and noncritical one-dimensional quantum spin models. In all cases, the
scaling exhibits an oscillatory behavior that terminates at the factorization
point and whose frequency is universal. Parity effects in the scaling of the
R\'enyi entropies for gapless models at zero field are thus shown to be a
particular case of such universal behavior. Likewise, the absence of
oscillations for the Ising chain in transverse field is due to the vanishing
value of the factorizing field for this particular model. In general, the
transition occurring at the factorizing field between two different scaling
regimes of the entanglement spectrum corresponds to a quantum transition to the
formation of finite-range, ordered structures of quasi-dimers, quasi-trimers,
and quasi-polymers. This entanglement-driven transition is superimposed to and
independent of the long-range magnetic order in the broken symmetry phase.
Therefore, it conforms to recent generalizations that identify and classify the
quantum phases of matter according to the structure of ground-state
entanglement patterns. We characterize this form of quantum order by a global
order parameter of entanglement defined as the integral, over blocks of all
lengths, of the R\'enyi entropy of infinite order. Equivalently, it can be
defined as the integral of the bipartite single-copy or geometric entanglement.
The global entanglement order parameter remains always finite at fields below
the factorization point and vanishes identically above it.

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


title:
Susceptibility at the Superfluid-Insulator Transition for
  One-Dimensional Disordered Bosons

abstract:
  A pair of recent Monte Carlo studies have reported evidence for and against a
crossover from weak to strong-disorder criticality in the one-dimensional dirty
boson problem. The Monte Carlo analyses rely on measurement of two observables:
the effective Luttinger parameter K_{eff} and the superfluid susceptibility
chi. The former quantity was previously calculated analytically, using the
strong-disorder renormalization group (SDRG), by Altman, Kafri, Polkovnikov,
and Refael. Here, we use an extension of the SDRG framework to find a
non-universal anomalous dimension eta_{sd} characterizing the divergence of the
susceptibility with system size: chi ~ L^(2-eta_{sd}). We show that eta_{sd}
obeys the hyperscaling relation eta_{sd} = 1/2K_{eff}. We also identify an
important obstacle to measuring this exponent on finite-size systems and
comment on the implications for numerics and experiments.


title: Herding the Crowd: Automated Planning for Crowdsourced Planning

abstract:
  There has been significant interest in crowdsourcing and human computation.
One subclass of human computation applications are those directed at tasks that
involve planning (e.g. travel planning) and scheduling (e.g. conference
scheduling). Much of this work appears outside the traditional automated
planning forums, and at the outset it is not clear whether automated planning
has much of a role to play in these human computation systems. Interestingly
however, work on these systems shows that even primitive forms of automated
oversight of the human planner does help in significantly improving the
effectiveness of the humans/crowd. In this paper, we will argue that the
automated oversight used in these systems can be viewed as a primitive
automated planner, and that there are several opportunities for more
sophisticated automated planning in effectively steering crowdsourced planning.
Straightforward adaptation of current planning technology is however hampered
by the mismatch between the capabilities of human workers and automated
planners. We identify two important challenges that need to be overcome before
such adaptation of planning technology can occur: (i) interpreting the inputs
of the human workers (and the requester) and (ii) steering or critiquing the
plans being produced by the human workers armed only with incomplete domain and
preference models. In this paper, we discuss approaches for handling these
challenges, and characterize existing human computation systems in terms of the
specific choices they make in handling these challenges.


title: Geodesic PCA in the Wasserstein space

abstract:
  We introduce the method of Geodesic Principal Component Analysis (GPCA) on
the space of probability measures on the line, with finite second moment,
endowed with the Wasserstein metric. We discuss the advantages of this
approach, over a standard functional PCA of probability densities in the
Hilbert space of square-integrable functions. We establish the consistency of
the method by showing that the empirical GPCA converges to its population
counterpart, as the sample size tends to infinity. A key property in the study
of GPCA is the isometry between the Wasserstein space and a closed convex
subset of the space of square-integrable functions, with respect to an
appropriate measure. Therefore, we consider the general problem of PCA in a
closed convex subset of a separable Hilbert space, which serves as basis for
the analysis of GPCA and also has interest in its own right. We provide
illustrative examples on simple statistical models, to show the benefits of
this approach for data analysis. The method is also applied to a real dataset
of population pyramids.