title: On the Scale of New Physics in Inflation

abstract:
  Effective field theory is a powerful organizing principle that allows to
describe physics below a certain scale model-independently. Above that energy
scale, identified with the cutoff, the EFT description breaks down and new
physics is expected to appear, as confirmed in many familiar examples in
quantum field theory. In this work, we examine the validity of effective field
theory methods applied to inflation. We address the issue of whether
Planck-suppressed non-renormalizable interactions are suppressed enough to be
safely neglected when computing inflationary predictions. We focus on
non-derivative non-renormalizable operators and estimate the cutoff that should
suppress them using two independent approaches: (i) the usual unitarity and
perturbativity argument, (ii) by computing the UV-divergent part of the
inflaton entropy, known to scale as the square of the UV-cutoff. We find that
in the absence of gravity (decoupling limit) the cutoff appears to depends
linearly on the total inflaton excursion. On the other hand, once gravity is
restored, the cutoff is brought back to the Planck scale. These results suggest
that inflationary scenarios with super-Planckian excursion are not natural from
the EFT viewpoint.


title:
Hom-configurations in triangulated categories generated by spherical
  objects

abstract:
  Hom- and Riedtmann configurations were studied in the context of stable
module categories of selfinjective algebras and a certain orbit category C of
the bounded derived category of a Dynkin quiver, which is highly reminiscent of
the cluster category. The category C is (-1)-Calabi-Yau. Holm and Jorgensen
introduced a family of triangulated categories generated by $w$-spherical
objects. When $w \geq 2$, these may be regarded as higher cluster categories of
type A infinity. When $w \leq -1$, they are higher analogues of the orbit
category C. In this paper, we classify the (higher) Hom- and Riedtmann
configurations for these categories, and link them with noncrossing partitions
in the case $w = -1$. Along the way, we obtain a new geometric model for the
higher versions of the orbit category C.


title:
Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin
  chain with generic integrable boundaries

abstract:
  The nested off-diagonal Bethe ansatz method is proposed to diagonalize
multi-component integrable models with generic integrable boundaries. As an
example, the exact solutions of the su(n)-invariant spin chain model with both
periodic and non-diagonal boundaries are derived by constructing the nested T-Q
relations based on the operator product identities among the fused transfer
matrices and the asymptotic behavior of the transfer matrices.

categories: hep-th cond-mat.stat-mech math-ph math.MP


abstract:
  In this paper, we study the Lagrangian F-stability of closed Lagrangian
self-shrinkers immersed in complex Euclidean space. We show that any closed
Lagrangian self-shrinker with first Betti number greater than one is Lagrangian
F-unstable. In particular, any two-dimensional embedded closed Lagrangian
self-shrinker is Lagrangian F-unstable. For a closed Lagrangian self-shrinker
with first Betti number equal to one, we show that Lagrangian F-stability is
equivalent to Hamiltonian F-stability. We also characterize Hamiltonian
F-stability of a closed Lagrangian self-shrinker by its spectral property of
the twisted Laplacian.


title: Operators that coerce the surjectivity of convolution

abstract:
  Considered are operators that leave the set of non-invertible (in the sense
of Ehrenpreis) distributions stable. They simultaneously generalise the
operation of convolution by a distribution with compact support and the
operation of multiplication by a real analytic function; they are here called
pseudo-convolutions since they also generalise pseudo-differential operators.
(It is shown that the elliptic real analytic pseudo-differential operators
leave both the non-invertible and the invertible distributions invariant.) But
when the condition of real-analyticity is relaxed, such operators may map a
non-invertible distribution to one invertible -- given that the invertibility
in both cases concerns the same function space. By varying the space, however,
one can measure the 'loss of non-invertibily' that a non-analytic perturbation
may introduce. This phenomenon is here studied using the Beurling classes of
functions and measuring the regularity of operator symbols in the
Denjoy-Carleman sense; the Gevrey case turns out particularly simple.


title: Itinerant magnetism in doped semiconducting beta-FeSi2 and CrSi2

abstract:
  Novel or unusual magnetism is a subject of considerable interest,
particularly in metals and degenerate semiconductors. In such materials the
interplay of magnetism, transport and other Fermi liquid properties can lead to
fascinating physical behavior. One example is in magnetic semiconductors, where
spin polarized currents may be controlled and used. We report density
functional calculations predicting magnetism in doped semiconducting beta-FeSi2
and CrSi2 at relatively low doping levels particularly for n-type. In this
case, there is a rapid cross-over to a half-metallic state as a function of
doping level. The results are discussed in relation to the electronic structure
and other properties of these compounds.


title: N-site phosphorylation systems with 2N-1 steady states

abstract:
  Multisite protein phosphorylation plays a prominent role in intracellular
processes like signal transduction, cell-cycle control and nuclear signal
integration. Many proteins are phosphorylated in a sequential and distributive
way at more than one phosphorylation site. Mathematical models of $n$-site
sequential distributive phosphorylation are therefore studied frequently. In
particular, in {\em Wang and Sontag, 2008,} it is shown that models of $n$-site
sequential distributive phosphorylation admit at most $2n-1$ steady states.
Wang and Sontag furthermore conjecture that for odd $n$, there are at most $n$
and that, for even $n$, there are at most $n+1$ steady states. This, however,
is not true: building on earlier work in {\em Holstein et.al., 2013}, we
present a scalar determining equation for multistationarity which will lead to
parameter values where a $3$-site system has $5$ steady states and parameter
values where a $4$-site system has $7$ steady states. Our results therefore are
counterexamples to the conjecture of Wang and Sontag. We furthermore study the
inherent geometric properties of multistationarity in $n$-site sequential
distributive phosphorylation: the complete vector of steady state ratios is
determined by the steady state ratios of free enzymes and unphosphorylated
protein and there exists a linear relationship between steady state ratios of
phosphorylated protein.


title:
A monotonicity formula and Type-II singularities for the mean curvature
  flow

abstract:
  In this paper, we introduce a monotonicity formula for the mean curvature
flow. We also apply this monotonicity formula to study the asymptotic behavior
of eternal solutions.


title: Modular equivariant formality

abstract:
  Let $X$ be a partial flag variety, equipped with the Borel action by
multiplication. We give a criterion for the equivariant derived category with
modular coefficients to be formal.


title:
Ground state pairing correlations in the $S_4$ symmetric microscopic
  model for iron-based superconductors

abstract:
  We present the ground state pairing correlations in the $S_4$ symmetric
microscopic model for iron-based superconductors, computed with the
constrained-path Monte Carlo method. For various electron fillings and
interaction strengths, we find that the $s_{xy}$ pairing dominates over other
pairing correlations and is positive when the pair separation exceeds several
lattice constants, whatever for iron pnictides and iron chlcogenides. These
ground state properties, especially the long range part pairing correlations
re-confirm the previous finite temperature results published in Phys. Rev.
Lett. 110, 107002(2013). We further our study by including the nearest
neighbour interaction $V$ and it is found that the $s_{xy}$ pairing correlation
is slightly suppressed by the increasing $V$.


title: Sharp parameter bounds for certain maximal point lenses

abstract:
  Starting from an $n$-point circular gravitational lens having $3n+1$ images,
Rhie (2003) used a perturbation argument to construct an $(n+1)$-point lens
producing $5n$ images. In this work we give a concise proof of Rhie's result,
and we extend the range of parameters in Rhie's model for which maximal lensing
occurs.
  We also study a slightly different construction given by Bayer and Dyer
(2007) arising from the $(3n+1)$-point lens. In particular, we extend their
results and give sharp parameter bounds for their lens model. By a substitution
of variables and parameters we show that both models are equivalent in a
certain sense.


title: The Magnetospheric Boundary in Cataclysmic Variables

abstract:
  The magnetic cataclysmic variables (MCVs) present a wealth of observational
diagnostics for studying accretion flows interacting with a magnetosphere.
Spin-period pulsations from the rotation of the white dwarf are seen in optical
light, in the UV and X-ray bands, and in polarimetry, and modelling these can
constrain the size and location of the accretion footprints on the white-dwarf
surface. Tracing these back along field lines can tell us about the transition
region between the stream or disk and the magnetosphere. Further, optical
emission lines give us velocity information, while analysis of eclipses gives
spatial information.
  I discuss MCVs (particularly FO Aqr, V405 Aur, XY Ari and EX Hya, but also
mentioning PQ Gem, GK Per, V2400 Oph, HT Cam, TX Col, AO Psc, AE Aqr, WZ Sge,
V1223 Sgr and DQ Her), reviewing what observations tell us about the
disk-magnetosphere boundary. The spin-period variations are caused by a mixture
of geometric effects and absorption by the accretion flow, and appear to show
that the accretion disk feeds onto field lines differently in different
systems, being sometimes along field lines ahead of the magnetic pole and
sometimes behind the pole.
  During outbursts, when the accretion flow increases by orders of magnitude,
the disk pushes the magnetosphere inwards, and appears to feed field lines over
a much greater range of magnetic azimuth. The non-equilibrium outburst
behaviour shows an even richer phenomenology than in quiescence, adding DNOs
and QPOs into the mix.


title: Relativistic quantum information theory and quantum reference frames

abstract:
  This thesis is a compilation of research in relativistic quantum information
theory, and research in quantum reference frames. The research in the former
category provides a fundamental construction of quantum information theory of
localised qubits in curved spacetimes. For example, this concerns quantum
experiments on free-space photons and electrons in the vicinity of the Earth.
From field theory a description of localised qubits that traverse classical
trajectories in curved spacetimes is obtained, for photons and massive spin-1/2
fermions. The equations governing the evolution of the two-dimensional quantum
state and its absolute phase are determined. Quantum information theory of
these qubits is then developed. The Stern-Gerlach measurement formalism for
massive spin-1/2 fermions is also derived from field theory. In the latter
category of research, the process of changing reference frames is considered
for the case where the reference frames are quantum systems. As part of this
process, it is shown that decoherence is necessarily induced on any quantum
system described relative to these frames. This process is explored using
examples involving quantum reference frames for phase and orientation.
Quantifying the effect of changing quantum reference frames provides a
theoretical description for this process in quantum experiments, and serves as
a first step in developing a relativity principle for theories in which all
objects including reference frames are necessarily quantum.


title: Control of the in-plane anisotropy in off-stoichiometric NiMnSb

abstract:
  NiMnSb is a ferromagnetic half-metal which, because of its rich anisotropy
and very low Gilbert damping, is a promising candidate for applications in
information technologies. We have investigated the in-plane anisotropy
properties of thin, MBE-grown NiMnSb films as a function of their Mn
concentration. Using ferromagnetic resonance (FMR) to determine the uniaxial
and four-fold anisotropy fields, 2KU/Ms and 2K1/Ms, we find that a small
variation in composition is sufficient to change the film from primarily
four-fold to primarily uniaxial behavior, allowing for continuous tuning of the
anisotropy. This provides valuable flexibility in designing new device
geometries.


title:
Locality and nonlocality of classical restrictions of quantum spin
  systems with applications to quantum large deviations and entanglement

abstract:
  We study the projection on classical spins starting from quantum equilibria.
We show Gibbsianness or quasi-locality of the resulting classical spin system
for a class of gapped quantum systems at low temperatures including quantum
ground states. A consequence of Gibbsianness is the validity of a large
deviation principle in the quantum system which is known and here recovered in
regimes of high temperature or for thermal states in one dimension. On the
other hand we give an example of a quantum ground state with strong nonlocality
in the classical restriction, giving rise to what we call measurement induced
entanglement, and still satisfying a large deviation principle.

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


title:
The classical molecular dynamics simulation of graphene on Ru(0001)
  using a fitted Tersoff interface potential

abstract:
  The accurate molecular dynamics simulation of weakly bound adhesive
complexes, such as supported graphene, is challenging due to the lack of an
adequate interface potential. Instead of the widely used Lennard-Jones
potential for weak and long-range interactions we use a newly parameterized
Tersoff-potential for graphene/Ru(0001) system. The new interfacial force field
provides adequate moir$\acute{e}$ superstructures in accordance with scanning
tunnelling microscopy images and with DFT results. In particular, the
corrugation of $\xi \approx 1.0 \pm 0.2$ $\hbox{\AA}$ is found which is
somewhat smaller than found by DFT approaches ($\xi \approx 1.2$ $\hbox{\AA}$)
and is close to STM measurements ($\xi \approx 0.8 \pm 0.3$ $\hbox{\AA}$).The
new potential could open the way towards large scale simulations of supported
graphene with adequate moir$\acute{e}$ supercells in many fields of graphene
research. Moreover, the new interface potential might provide a new strategy in
general for getting accurate interaction potentials for weakly bound adhesion
in large scale systems in which atomic dynamics is inaccessible yet by accurate
DFT calculations.


title: On irreducible components of Rapoport-Zink spaces

abstract:
  Under a mild condition, we prove that the action of the group of
self-quasi-isogenies on the set of irreducible components of a Rapoport-Zink
space has finite orbits. Our method allows both ramified and non-basic cases.
As a consequence, we obtain some finiteness results on the representation
obtained from the l-adic cohomology of a Rapoport-Zink tower.


title:
CO(1-0) survey of high-z radio galaxies: alignment of molecular halo gas
  with distant radio sources

abstract:
  We present a CO(1-0) survey for cold molecular gas in a representative sample
of 13 high-z radio galaxies (HzRGs) at 1.4<z<2.8, using the Australia Telescope
Compact Array. We detect CO(1-0) emission associated with five sources: MRC
0114-211, MRC 0152-209, MRC 0156-252, MRC 1138-262 and MRC 2048-272. The
CO(1-0) luminosities are in the range $L'_{\rm CO} \sim (5 - 9) \times 10^{10}$
K km/s pc$^{2}$. For MRC 0152-209 and MRC 1138-262 part of the CO(1-0) emission
coincides with the radio galaxy, while part is spread on scales of tens of kpc
and likely associated with galaxy mergers. The molecular gas mass derived for
these two systems is M$_{\rm H2} \sim 6 \times 10^{10}\, {\rm M}_{\odot}$
(M$_{\rm H2}$/$L'_{\rm CO}$=0.8). For the remaining three CO-detected sources,
the CO(1-0) emission is located in the halo (~50-kpc) environment. These three
HzRGs are among the fainter far-IR emitters in our sample, suggesting that
similar reservoirs of cold molecular halo gas may have been missed in earlier
studies due to pre-selection of IR-bright sources. In all three cases the
CO(1-0) is aligned along the radio axis and found beyond the brightest radio
hot-spot, in a region devoid of 4.5$\mu$m emission in Spitzer imaging. The
CO(1-0) profiles are broad, with velocity widths of ~ 1000 - 3600 km/s. We
discuss several possible scenarios to explain these halo reservoirs of CO(1-0).
Following these results, we complement our CO(1-0) study with detections of
extended CO from the literature and find at marginal statistical significance
(95% level) that CO in HzRGs is preferentially aligned towards the radio jet
axis. For the eight sources in which we do not detect CO(1-0), we set realistic
upper limits of $L'_{\rm CO} \sim 3-4 \times 10^{10}$ K km/s pc$^{2}$. Our
survey reveals a CO(1-0) detection rate of 38%, allowing us to compare the
CO(1-0) content of HzRGs with that of other types of high-z galaxies.


title: Classical impurities associated to high rank algebras

abstract:
  Classical integrable impurities associated to high rank (gl_N) algebras are
investigated. A particular prototype i.e. the vector non-linear Schr\"{o}dinger
(NLS) model is chosen as an example. A systematic construction of local
integrals of motion as well as the time components of the corresponding Lax
pairs is presented based on the underlying classical algebra. Suitable gluing
conditions compatible with integrability are also extracted. The defect
contribution is also examined in the case where non-trivial integrable
conditions are implemented. It turns out that the integrable boundaries may
drastically alter the bulk behavior, and in particular the defect contribution.


title: Fisher Information and Atomic Structure

abstract:
  We present a comparative study of several information and statistical
complexity measures in order to examine a possible correlation with certain
experimental properties of atomic structure. Comparisons are also carried out
quantitatively using Pearson correlation coefficient. In particular, we show
that Fisher information in momentum space is very sensitive to shell effects,
and is directly associated with some of the most characteristic atomic
properties, such as atomic radius, ionization energy, electronegativity, and
atomic dipole polarizability. Finally we present a relation that emerges
between Fisher information and the second moment of the probability
distribution in momentum space i.e. an energy functional of interest in (e,2e)
experiments.


title:
NMSSMCALC: A Program Package for the Calculation of Loop-Corrected Higgs
  Boson Masses and Decay Widths in the (Complex) NMSSM

abstract:
  We present the program package NMSSMCALC for the calculation of the
loop-corrected NMSSM Higgs boson masses and decay widths in the CP-conserving
and CP-violating NMSSM. The full one-loop corrections to the Higgs boson masses
are evaluated in a mixed renormalisation scheme of on-shell and
$\overline{\mbox{DR}}$ conditions. The Higgs decay widths include the dominant
higher order QCD corrections, and the decays into bottom quarks, strange quarks
and tau leptons are supplemented by higher order SUSY corrections through
effective couplings. All relevant off-shell decays into two massive gauge
bosons, gauge and Higgs boson and Higgs pair final states as well as into heavy
quark pairs are computed. The input and output files feature the SUSY Les
Houches Accord so that the program can easily be linked with existing computer
tools.


title: Thickness, relative hyperbolicity, and randomness in Coxeter groups

abstract:
  For right-angled Coxeter groups $W_{\Gamma}$, we obtain a condition on
$\Gamma$ that is necessary and sufficient to ensure that $W_{\Gamma}$ is thick
and thus not relatively hyperbolic. We show that Coxeter groups which are not
thick all admit canonical minimal relatively hyperbolic structures; further, we
show that in such a structure, the peripheral subgroups are both parabolic (in
the Coxeter group-theoretic sense) and strongly algebraically thick. We exhibit
a polynomial-time algorithm that decides whether a right-angled Coxeter group
is thick or relatively hyperbolic. We analyze random graphs in the
Erd\'{o}s-R\'{e}nyi model and establish the asymptotic probability that a
random right-angled Coxeter group is thick.
  In the joint appendix we study Coxeter groups in full generality and there we
also obtain a dichotomy whereby any such group is either strongly algebraically
thick or admits a minimal relatively hyperbolic structure. In this study, we
also introduce a notion we call \emph{intrinsic horosphericity} which provides
a dynamical obstruction to relative hyperbolicity which generalizes thickness.


title:
A multi-wavelength look at the young plerionic supernova remnant
  0540-69.3

abstract:
  We present a study of the plerionic supernova remnant 0540-69.3 in the LMC in
X-ray, radio, optical, and infrared. We find that the shell of 0540-69.3 is
characterized in the X-ray by thermal nonequilibrium plasma with depleted Mg
and Si abundances and a temperature of kT ~ 0.7 keV. This thermal emission is
superimposed with synchrotron emission in several regions. Based on X-ray
spectra and on morphological considerations in all surveyed wavebands, we
conclude that the shell is expanding into a clumpy and highly inhomogeneous
medium. In one region of the shell we find an overabundance of Ne, suggesting
the presence of ejecta near the edge of the remnant. We also see evidence for
reheating of material via a reverse shock originating from the interaction of
the supernova blast wave with a particularly dense cloud in the surrounding
medium. Finally, we perform the first detailed study of the "halo" region
extending 1.2-2.2 pc from the central pulsar. We detect the presence of thermal
and nonthermal spectral components but do not find evidence for mixing or
ejecta. We conclude that the thermal component is not a counterpart to similar
optical and infrared halos and that it is most likely due to the projection of
shell material along the line of sight.


title:
Third-order correction to top-quark pair production near threshold I.
  Effective theory set-up and matching coefficients

abstract:
  This is the first in a series of papers, in which we compute the third-order
QCD corrections to top-antitop production near threshold in e+ e- collisions.
The present paper provides a detailed outline of the strategy of computation in
the framework of non-relativistic effective theory and the threshold expansion,
applicable more generally to heavy-quark pair production near threshold. It
summarizes matching coefficients and potentials relevant to the
next-to-next-to-next-to-leading order and ends with the master formula for the
computation of the third-order Green function. The master formula is evaluated
in part II of the series.


title:
P-wave contribution to third-order top-quark pair production near
  threshold

abstract:
  The next-to-leading order (NLO) P-wave Coulomb Green function contributes at
third-order to top-pair production in e+ e- collisions near threshold. In this
paper we compute the NLO P-wave Green function in dimensional regularization,
as required for a consistent combination with non-resonant production of the W+
W- b\bar{b} final state, and present a phenomenological analysis of the P-wave
contribution. We further briefly discuss squark production near threshold and
top-pair production in gamma gamma collisions, where no S-wave contribution is
present, and the P-wave thus constitutes the dominant production process.


title:
Cryptanalysis and Improvement of Jiang et al.'s Smart Card Based Remote
  User Authentication Scheme

abstract:
  The smart card based authentication protocols try to ensure secure and
authorized communication between remote entities. In 2012, Wei et al. presented
an improvement of Wu et al.'s two-factor authentication scheme for TMIS which
is proven vulnerable to off-line password guessing attack by Zhu. Zhu also
proposed a modified scheme to overcome with weakness of Wei et al.'s scheme,
although Lee and Liu showed the failure of his scheme to resist parallel
session attacks. Moreover, Lee and Liu introduced an improved scheme. We
analyze Wei et al.'s, Zhu's and Lee and Liu's schemes and identify that none of
the schemes resist on-line password guessing attack. Moreover, these schemes do
not present efficient login and password chance phase. We also show that how
inefficient password change phase causes denial of service attack. Further, we
propose an improved password based remote user authentication scheme with the
aim to eliminate all the drawbacks of previously presented schemes.


title: Semantic Annotation: The Mainstay of Semantic Web

abstract:
  Given that semantic Web realization is based on the critical mass of metadata
accessibility and the representation of data with formal knowledge, it needs to
generate metadata that is specific, easy to understand and well-defined.
However, semantic annotation of the web documents is the successful way to make
the Semantic Web vision a reality. This paper introduces the Semantic Web and
its vision (stack layers) with regard to some concept definitions that helps
the understanding of semantic annotation. Additionally, this paper introduces
the semantic annotation categories, tools, domains and models.


title: Quantum Compositeness of Gravity: Black Holes, AdS and Inflation

abstract:
  Gravitational backgrounds, such as black holes, AdS, de Sitter and
inflationary universes, should be viewed as composite of N soft constituent
gravitons. It then follows that such systems are close to quantum criticality
of graviton Bose-gas to Bose-liquid transition. Generic properties of the
ordinary metric description, including geodesic motion or particle-creation in
the background metric, emerge as the large-N limit of quantum scattering of
constituent longitudinal gravitons. We show that this picture correctly
accounts for physics of large and small black holes in AdS, as well as
reproduces well-known inflationary predictions for cosmological parameters.
However, it anticipates new effects not captured by the standard semi-classical
treatment. In particular, we predict observable corrections that are sensitive
to the inflationary history way beyond last 60 e-foldings. We derive an
absolute upper bound on the number of e-foldings, beyond which neither de
Sitter nor inflationary Universe can be approximated by a semi-classical
metric. However, they could in principle persist in a new type of it quantum
eternity state. We discuss implications of this phenomenon for the cosmological
constant problem.

categories: hep-th astro-ph.CO gr-qc hep-ph quant-ph


title:
Notes on ab initio investigation of the CrH molecule and its interaction
  with He

abstract:
  Potential and dipole moment curves for the CrH(X$^6\Sigma^+$) molecule were
obtained at the internally-contracted multi-reference configuration interaction
with single and double excitations and Davidson correction (ic-MRCISD+Q) level
using large basis set augmented with additional diffused functions and using
Douglass-Kroll Hamiltonian for scalar relativistic effects. Also bound states,
average positions and rotational constants calculated on the CrH(X$^6\Sigma^+$)
potential are reported. The He-CrH(X$^6\Sigma^+$) potential energy surface was
calculated with the coupled cluster singles, doubles, and noniterative triples
[RCCSD(T)] method. The global minimum was found for the collinear He---Cr-H
geometry with the well depth of 1143.84 cm$^{-1}$ at $R_e=4.15$ a$_0$. An
insight in the character of the complex was gained by means of symmetry-adapted
perturbation theory (SAPT) based on DFT description of the monomers. The
presence of the so called "exchange cavity" was observed. Finally, bound states
of the He-CrH complex for J = 0 are presented.


title: Sensitivity analysis for Bayesian hierarchical models

abstract:
  Prior sensitivity examination plays an important role in applied Bayesian
analyses. This is especially true for Bayesian hierarchical models, where
interpretability of the parameters within deeper layers in the hierarchy
becomes challenging. In addition, lack of information together with
identifiability issues may imply that the prior distributions for such models
have an undesired influence on the posterior inference. Despite its relevance,
informal approaches to prior sensitivity analysis are currently used. They
require repetitive re-runs of the model with ad-hoc modified base prior
parameter values. Other formal approaches to prior sensitivity analysis suffer
from a lack of popularity in practice, mainly due to their high computational
cost and absence of software implementation. We propose a novel formal approach
to prior sensitivity analysis which is fast and accurate. It quantifies
sensitivity without the need for a model re-run. We develop a ready-to-use
priorSens package in R for routine prior sensitivity investigation by R-INLA.
Throughout a series of examples we show how our approach can be used to detect
high prior sensitivities of some parameters as well as identifiability issues
in possibly over-parametrized Bayesian hierarchical models.


title:
Finite Horizon Online Lazy Scheduling with Energy Harvesting
  Transmitters over Fading Channels

abstract:
  Lazy scheduling, i.e. setting transmit power and rate in response to data
traffic as low as possible so as to satisfy delay constraints, is a known
method for energy efficient transmission.This paper addresses an online lazy
scheduling problem over finite time-slotted transmission window and introduces
low-complexity heuristics which attain near-optimal performance.Particularly,
this paper generalizes lazy scheduling problem for energy harvesting systems to
deal with packet arrival, energy harvesting and time-varying channel processes
simultaneously. The time-slotted formulation of the problem and depiction of
its offline optimal solution provide explicit expressions allowing to derive
good online policies and algorithms.


title: The Black Hole Mass and the Stellar Ring in NGC 3706

abstract:
  We determine the mass of the nuclear black hole ($M$) in NGC 3706, an early
type galaxy with a central surface brightness minimum arising from an apparent
stellar ring, which is misaligned with respect to the galaxy's major axis at
larger radii. We fit new HST/STIS and archival data with axisymmetric orbit
models to determine $M$, mass-to-light ratio ($\Upsilon_V$), and dark matter
halo profile. The best-fit model parameters with 1$\sigma$ uncertainties are $M
= (6.0^{+0.7}_{-0.9}) \times 10^8\ M_{\scriptscriptstyle \odot}$ and
$\Upsilon_V = 6.0 \pm 0.2\ M_{\scriptscriptstyle \odot}\ L_{{\scriptscriptstyle
\odot},V}^{-1}$ at an assumed distance of 46 Mpc. The models are inconsistent
with no black hole at a significance of $\Delta\chi^2 = 15.4$ and require a
dark matter halo to adequately fit the kinematic data, but the fits are
consistent with a large range of plausible dark matter halo parameters. The
ring is inconsistent with a population of co-rotating stars on circular orbits,
which would produce a narrow line-of-sight velocity distribution (LOSVD).
Instead, the ring's LOSVD has a small value of $|V|/\sigma$, the ratio of mean
velocity to velocity dispersion. Based on the observed low $|V|/\sigma$, our
orbit modeling, and a kinematic decomposition of the ring from the bulge, we
conclude that the stellar ring contains stars that orbit in both directions. We
consider potential origins for this unique feature, including multiple tidal
disruptions of stellar clusters, a change in the gravitational potential from
triaxial to axisymmetric, resonant capture and inclining of orbits by a binary
black hole, and multiple mergers leading to gas being funneled to the center of
the galaxy.


title: New Approach to Optimize the Time of Association Rules Extraction

abstract:
  The knowledge discovery algorithms have become ineffective at the abundance
of data and the need for fast algorithms or optimizing methods is required. To
address this limitation, the objective of this work is to adapt a new method
for optimizing the time of association rules extractions from large databases.
Indeed, given a relational database (one relation) represented as a set of
tuples, also called set of attributes, we transform the original database as a
binary table (Bitmap table) containing binary numbers. Then, we use this Bitmap
table to construct a data structure called Peano Tree stored as a binary file
on which we apply a new algorithm called BF-ARM (extension of the well known
Apriori algorithm). Since the database is loaded into a binary file, our
proposed algorithm will traverse this file, and the processes of association
rules extractions will be based on the file stored on disk. The BF-ARM
algorithm is implemented and compared with Apriori, Apriori+ and RS-Rules+
algorithms. The evaluation process is based on three benchmarks (Mushroom, Car
Evaluation and Adult). Our preliminary experimental results showed that our
algorithm produces association rules with a minimum time compared to other
algorithms.


title:
The NIKA instrument: results and perspectives towards a permanent KID
  based camera for the Pico Veleta observatory

abstract:
  The New IRAM KIDs Array (NIKA) is a pathfinder instrument devoted to
millimetric astronomy. In 2009 it was the first multiplexed KID camera on the
sky; currently it is installed at the focal plane of the IRAM 30-meters
telescope at Pico Veleta (Spain). We present preliminary data from the last
observational run and the ongoing developments devoted to the next NIKA-2
kilopixels camera, to be commissioned in 2015. We also report on the latest
laboratory measurements, and recent improvements in detector cosmetics and
read-out electronics. Furthermore, we describe a new acquisition strategy
allowing us to improve the photometric accuracy, and the related automatic
tuning procedure.


title: A Statistical Peek into Average Case Complexity

abstract:
  The present paper gives a statistical adventure towards exploring the average
case complexity behavior of computer algorithms. Rather than following the
traditional count based analytical (pen and paper) approach, we instead talk in
terms of the weight based analysis that permits mixing of distinct operations
into a conceptual bound called the statistical bound and its empirical
estimate, the so called "empirical O". Based on careful analysis of the results
obtained, we have introduced two new conjectures in the domain of algorithmic
analysis. The analytical way of average case analysis falls flat when it comes
to a data model for which the expectation does not exist (e.g. Cauchy
distribution for continuous input data and certain discrete distribution inputs
as those studied in the paper). The empirical side of our approach, with a
thrust in computer experiments and applied statistics in its paradigm, lends a
helping hand by complimenting and supplementing its theoretical counterpart.
Computer science is or at least has aspects of an experimental science as well,
and hence hopefully, our statistical findings will be equally recognized among
theoretical scientists as well.


title: Multiscaling edge effects in an agent-based money emergence model

abstract:
  An agent-based computational economical toy model for the emergence of money
from the initial barter trading, inspired by Menger's postulate that money can
spontaneously emerge in a commodity exchange economy, is extensively studied.
The model considered, while manageable, is significantly complex, however. It
is already able to reveal phenomena that can be interpreted as emergence and
collapse of money as well as the related competition effects. In particular, it
is shown that - as an extra emerging effect - the money lifetimes near the
critical threshold value develop multiscaling, which allow one to set parallels
to critical phenomena and, thus, to the real financial markets.


title: Status of hadronic light-by-light scattering in the muon g-2

abstract:
  We give an update on the status of the hadronic light-by-light scattering
contribution to the muon g-2. We review recent work by various groups, list
some of the open problems and give an outlook on how to better control the
uncertainty of this contribution. This is necessary in order to fully profit
from planned future muon g-2 experiments to test the Standard Model. Despite
some recent developments, we think that the estimate a_{mu}^{HLbL} = (116 \pm
40) x 10^{-11} still gives a fair description of the current situation.


title: Array Convolutional Low-Density Parity-Check Codes

abstract:
  This paper presents a design technique for obtaining regular time-invariant
low-density parity-check convolutional (RTI-LDPCC) codes with low complexity
and good performance. We start from previous approaches which unwrap a
low-density parity-check (LDPC) block code into an RTI-LDPCC code, and we
obtain a new method to design RTI-LDPCC codes with better performance and
shorter constraint length. Differently from previous techniques, we start the
design from an array LDPC block code. We show that, for codes with high rate, a
performance gain and a reduction in the constraint length are achieved with
respect to previous proposals. Additionally, an increase in the minimum
distance is observed.


title: A temperature correction to the tachyon, using the Casimir effect

abstract:
  We find the free energy of the string by applying the known Matsubara
formalism. Then through the Casimir effect we offer a temperature correction to
the tachyon mass of the string. We see that for the fermionic part the
temperature correction is precisely the opposite of that of bosonic part, so
the quantum ground state of the superstring would remain massless, as expected.


title:
Few-cycle fiber pulse compression and evolution of negative resonant
  radiation

abstract:
  We present numerical simulations and experimental observations of the
spectral expansion of fs-pulses compressing in optical fibers. Using the input
pulse frequency chirp we are able to scan through the pulse compression spectra
and observe in detail the emergence of negative-frequency resonant radiation
(NRR), a recently discovered pulse instability coupling to negative frequencies
[Rubino et al., PRL 108, 253901 (2012)]. We observe how the compressing pulse
is exciting NRR as long as it overlaps spectrally with the resonant frequency.
Furthermore, we observe that optimal pulse compression can be achieved at an
optimal input chirp and for an optimal fiber length. The results are important
for Kerr-effect pulse compressors, to generate novel light sources, as well as
for the observation of quantum vacuum radiation.


title:
Signature of the topological surface state in the thermoelectric
  properties of Bi$_2$Te$_3$

abstract:
  We present ab initio electronic structure calculations based on density
functional theory for the thermoelectric properties of Bi$_2$Te$_3$ films.
Conductivity and thermopower are computed in the diffusive limit of transport
based on the Boltzmann equation. Bulk and surface contribution to the transport
coefficients are separated by a special projection technique. As a result we
show clear signatures of the topological surface state in the thermoelectric
properties.


title:
Investigation of III-V Nanowires by Plan-View Transmission Electron
  Microscopy: InN Case Study

abstract:
  We discuss observations of InN nanowires (NWs) by plan-view high-resolution
transmission electron microscopy (TEM). The main difficulties arise from
suitable methods available for plan-view specimen preparation. We explore
different approaches and find that the best results are obtained using a
refined preparation method based on the conventional procedure for plan-view
TEM of thin films, specifically modified for the NW morphology. The fundamental
aspects of such a preparation are the initial mechanical stabilization of the
NWs and the minimization of the ion-milling process after dimpling the samples
until perforation. The combined analysis by plan-view and cross-sectional TEM
of the NWs allows determination of the degree of strain relaxation and reveals
the formation of an unintentional shell layer (2-3 nm thick) around the InN
NWs. The shell layer is composed of bcc-In2O3 nanocrystals with a preferred
orientation with respect to the wurtzite InN: In2O3 [111] || InN [0001] and
In2O3 <110> || InN <11-20>.


title:
Experimental violation of multipartite Bell inequalities with trapped
  ions

abstract:
  We report on the experimental violation of multipartite Bell inequalities by
entangled states of trapped ions. First we consider resource states for
measurement-based quantum computation of between 3 and 7 ions and show that all
strongly violate a Bell-type inequality for graph states, where the criterion
for violation is a sufficiently high fidelity. Second we analyze GHZ states of
up to 14 ions generated in a previous experiment using stronger Mermin-Klyshko
inequalities, and show that in this case the violation of local realism
increases exponentially with system size. These experiments represent a
violation of multipartite Bell-type inequalities of deterministically prepared
entangled states. In addition, the detection loophole is closed.


title: Finite-Length Analysis of BATS Codes

abstract:
  BATS codes were proposed for communication through networks with packet loss.
A BATS code consists of an outer code and an inner code. The outer code is a
matrix generation of a fountain code, which works with the inner code that
comprises random linear coding at the intermediate network nodes. In this
paper, the performance of finite-length BATS codes is analyzed with respect to
both belief propagation (BP) decoding and inactivation decoding. Our results
enable us to evaluate efficiently the finite-length performance in terms of the
number of batches used for decoding ranging from 1 to a given maximum number,
and provide new insights on the decoding performance. Specifically, for a fixed
number of input symbols and a range of the number of batches used for decoding,
we obtain recursive formulae to calculate respectively the stopping time
distribution of BP decoding and the inactivation probability in inactivation
decoding. We also find that both the failure probability of BP decoding and the
expected number of inactivations in inactivation decoding can be expressed in a
power-sum form where the number of batches appears only as the exponent. This
power-sum expression reveals clearly how the decoding failure probability and
the expected number of inactivation decrease with the number of batches. When
the number of batches used for decoding follows a Poisson distribution, we
further derive recursive formulae with potentially lower computational
complexity for both decoding algorithms. For the BP decoder that consumes
batches one by one, three formulae are provided to characterize the expected
number of consumed batches until all the input symbols are decoded.


title:
Spectral analysis and rational decay rates of strong solutions to a
  fluid-structure PDE system

abstract:
  In this paper, we consider the problem of obtaining rational decay for a
particular time-evolving fluid-structure model, the type of which has been
considered in Chueshov and Ryzhkova (2013). In particular, this partial
differential equation (PDE) system is composed of a three-dimensional Stokes
flow which evolves within a three dimensional cavity. Moreover, on a (fixed)
portion of the cavity wall, $\Omega$ say, a fourth order plate equation is
invoked so as to describe the displacements along $\Omega$. Contact between
these respective fluid and structure dynamics is established through the
boundary interface $\Omega$. Our main result of decay is as follows: The PDE
solutions of this fluid-structure PDE, corresponding to smooth initial data,
decay at the rate of $O(1/t)$. Our method of proof hinges upon the appropriate
invocation of a relatively recent resolvent criterion for rational decays for
linear strongly continuous semigroups.


title:
Exclusive processes in proton-proton collisions with the CMS experiment
  at the LHC

abstract:
  We present the recent measurements of exclusive processes performed in the
CMS experiment at the LHC using data collected at a centre of mass energy of 7
TeV. These measurements include the double-pomeron production of photon pairs,
the two-photon production of leptons pairs, and the previously undetected
two-photon production of W boson pairs. While in case of the two first
processes that enables to set limits on production cross-section, in the later
case it provides also stringent limits on the anomalous quartic gauge
couplings.


title: Mining Malware Specifications through Static Reachability Analysis

abstract:
  The number of malicious software (malware) is growing out of control.
Syntactic signature based detection cannot cope with such growth and manual
construction of malware signature databases needs to be replaced by computer
learning based approaches. Currently, a single modern signature capturing the
semantics of a malicious behavior can be used to replace an arbitrarily large
number of old-fashioned syntactical signatures. However teaching computers to
learn such behaviors is a challenge. Existing work relies on dynamic analysis
to extract malicious behaviors, but such technique does not guarantee the
coverage of all behaviors. To sidestep this limitation we show how to learn
malware signatures using static reachability analysis. The idea is to model
binary programs using pushdown systems (that can be used to model the stack
operations occurring during the binary code execution), use reachability
analysis to extract behaviors in the form of trees, and use subtrees that are
common among the trees extracted from a training set of malware files as
signatures. To detect malware we propose to use a tree automaton to compactly
store malicious behavior trees and check if any of the subtrees extracted from
the file under analysis is malicious. Experimental data shows that our approach
can be used to learn signatures from a training set of malware files and use
them to detect a test set of malware that is 5 times the size of the training
set.


title: Indirect CP violation results and HFAG averages

abstract:
  The current status of the search for indirect CP violation in the neutral D
meson system at the B-factories and at LHCb is reported. The indirect CP
asymmetry search is performed by the measurement of the proper-time asymmetry
($A_{\Gamma}$) in decays of $D^0-\bar{D^0}$ mesons to CP eigenstates, $K^-K^+$
and $\pi^- \pi^+$, and by $y_{CP}$, the ratio between the effective lifetime
measured in decay to a CP eigenstate and that to the mixed eigenstate $K \pi$.
All results are consistent with the no CP violation hypothesis. The latest
world averages for mixing and CP asymmetry in the charm sector evaluated by the
Heavy Flavour Averaging Group are presented. The no mixing hypothesis is
excluded at more than 12 standard deviations. The search for direct and
indirect CP violation in the charm sector is consistent with no CP violation at
2.0% confident level.


title:
A Lattice Study of Quark and Glue Momenta and Angular Momenta in the
  Nucleon

abstract:
  We report a complete calculation of the quark and glue momenta and angular
momenta in the proton. These include the quark contributions from both the
connected and disconnected insertions. The quark disconnected insertion loops
are computed with $Z_4$ noise, and the signal-to-noise is improved with
unbiased subtractions. The glue operator is comprised of gauge-field tensors
constructed from the overlap operator. The calculation is carried out on a
$16^3 \times 24$ quenched lattice at $\beta = 6.0$ for Wilson fermions with
$\kappa=0.154, 0.155$, and $0.1555$ which correspond to pion masses at $650,
538$, and $478$~MeV, respectively. The chirally extrapolated $u$ and $d$ quark
momentum/angular momentum fraction is found to be $0.64(5)/0.70(5)$, the
strange momentum/angular momentum fraction is $0.024(6)/0.023(7)$, and that of
the glue is $0.33(6)/0.28(8)$. The previous study of quark spin on the same
lattice revealed that it carries a fraction of $0.25(12)$ of proton spin. The
orbital angular momenta of the quarks are then obtained from subtracting the
spin from their corresponding angular momentum components. We find that the
quark orbital angular momentum constitutes $0.47(13)$ of the proton spin with
almost all of it coming from the disconnected insertions.


title:
A Sobolev inequality and the individual invariance principle for
  diffusions in a periodic potential

abstract:
  We consider a diffusion process in $\mathbb{R}^d$ with a generator of the
form $ L:=\frac 12 e^{V(x)}div(e^{-V(x)}\nabla ) $ where $V$ is measurable and
periodic. We only assume that $e^V$ and $e^{-V}$ are locally integrable. We
then show that, after proper rescaling, the law of the diffusion converges to a
Brownian motion for Lebesgue almost all starting points.
  This pointwise invariance principle was previously known under uniform
ellipticity conditions (when $V$ is bounded), and was recently proved under
more restrictive $L^p$ conditions on $e^V$ and $e^{-V}$.
  Our approach uses Dirichlet form theory to define the process, martingales
and time changes and the construction of a corrector. Our main technical tool
to show the sub-linear growth of the corrector is a new weighted Sobolev type
inequality for integrable potentials. We heavily rely on harmonic analysis
technics.


title: Typing linear algebra: A biproduct-oriented approach

abstract:
  Interested in formalizing the generation of fast running code for linear
algebra applications, the authors show how an index-free, calculational
approach to matrix algebra can be developed by regarding matrices as morphisms
of a category with biproducts. This shifts the traditional view of matrices as
indexed structures to a type-level perspective analogous to that of the
pointfree algebra of programming. The derivation of fusion, cancellation and
abide laws from the biproduct equations makes it easy to calculate algorithms
implementing matrix multiplication, the central operation of matrix algebra,
ranging from its divide-and-conquer version to its vectorization
implementation. From errant attempts to learn how particular products and
coproducts emerge from biproducts, not only blocked matrix algebra is
rediscovered but also a way of extending other operations (e.g. Gaussian
elimination) blockwise, in a calculational style, is found. The prospect of
building biproduct-based type checkers for computer algebra systems such as
MatlabTM is also considered.


title:
Impact of attractive interactions on the rheology of dense athermal
  particles

abstract:
  Using numerical simulations, the rheological response of an athermal assembly
of soft particles with tunable attractive interactions is studied in the
vicinity of jamming. At small attractions, a fragile solid develops and a
finite yield stress is measured. Moreover, the measured flow curves have
unstable regimes, which lead to persistent shearbanding. These features are
rationalized by establishing a link between the rheology and the inter-particle
connectivity, which also provides a minimal model to describe the flow curves.


title:
Wave propagation in a fractional viscoelastic Andrade medium: diffusive
  approximation and numerical modeling

abstract:
  This study focuses on the numerical modeling of wave propagation in
fractionally-dissipative media. These viscoelastic models are such that the
attenuation is frequency dependent and follows a power law with non-integer
exponent. As a prototypical example, the Andrade model is chosen for its
simplicity and its satisfactory fits of experimental flow laws in rocks and
metals. The corresponding constitutive equation features a fractional
derivative in time, a non-local term that can be expressed as a convolution
product which direct implementation bears substantial memory cost. To
circumvent this limitation, a diffusive representation approach is deployed,
replacing the convolution product by an integral of a function satisfying a
local time-domain ordinary differential equation. An associated quadrature
formula yields a local-in-time system of partial differential equations, which
is then proven to be well-posed. The properties of the resulting model are also
compared to those of the original Andrade model. The quadrature scheme
associated with the diffusive approximation, and constructed either from a
classical polynomial approach or from a constrained optimization method, is
investigated to finally highlight the benefits of using the latter approach.
Wave propagation simulations in homogeneous domains are performed within a
split formulation framework that yields an optimal stability condition and
which features a joint fourth-order time-marching scheme coupled with an exact
integration step. A set of numerical experiments is presented to assess the
efficiency of the diffusive approximation method for such wave propagation
problems.


title:
Measurement of Inclusive ep Cross Sections at High Q2 at sqrt(s) = 225
  and 252 GeV and of the Longitudinal Proton Structure Function FL at HERA

abstract:
  Inclusive ep double differential cross sections for neutral current deep
inelastic scattering are measured with the H1 detector at HERA. The data were
taken with a lepton beam energy of 27.6 GeV and two proton beam energies of Ep
= 460 and 575 GeV corresponding to centre-of-mass energies of 225 and 252 GeV,
respectively. The measurements cover the region of 6.5 *10^{-4}<=x<= 0.65 for
35<=Q^2<=800 GeV^2 up to y = 0.85. The measurements are used together with
previously published H1 data at Ep = 920 GeV and lower Q2 data at Ep = 460, 575
and 920 GeV to extract the longitudinal proton structure function FL in the
region 1.5<=Q^2 <=800 GeV^2.


title: N\'eron models of algebraic curves

abstract:
  Let S be a Dedekind scheme with field of functions K. We show that if X_K is
a smooth connected proper curve of positive genus over K, then it admits a
N\'eron model over S, i.e., a smooth separated model of finite type satisfying
the usual N\'eron mapping property. It is given by the smooth locus of the
minimal proper regular model of X_K over S, as in the case of elliptic curves.
When S is excellent, a similar result holds for connected smooth affine curves
different from the affine line, with locally finite type N\'eron models.


title:
The Klein-Gordon equation in the spacetime of a charged and rotating
  black hole

abstract:
  This work deals with the influence of the gravitational field produced by a
charged and rotating black hole (Kerr-Newman spacetime) on massive scalar
fields. We obtain an exact solution of the Klein-Gordon equation in this
spacetime, which is given in terms of the confluent Heun functions. In the
particular case corresponding to an extreme Kerr-Newman black hole the solution
is given by the double confluent Heun functions. We also investigate the
solutions in regions near the event horizon and far from the black hole.


title:
Generation, Implementation and Appraisal of an N-gram based Stemming
  Algorithm

abstract:
  A language independent stemmer has always been looked for. Single N-gram
tokenization technique works well, however, it often generates stems that start
with intermediate characters, rather than initial ones. We present a novel
technique that takes the concept of N gram stemming one step ahead and compare
our method with an established algorithm in the field, Porter's Stemmer.
Results indicate that our N gram stemmer is not inferior to Porter's linguistic
stemmer.


title:
Isomonodromy aspects of the tt* equations of Cecotti and Vafa II.
  Riemann-Hilbert problem

abstract:
  In Part I (arXiv:1209.2045) we computed the Stokes data, though not the
"connection matrix", for the smooth solutions of the tt*-Toda equations whose
existence we established by p.d.e. methods. Here we give an alternative proof
of the existence of some of these solutions by solving a Riemann-Hilbert
problem. In the process, we compute the connection matrix for all smooth
solutions, thus completing the computation of the monodromy data. We also give
connection formulae relating the asymptotics at zero and infinity of all smooth
solutions, clarifying the region of validity of the formulae established
earlier by Tracy and Widom. Finally, for the tt*-Toda equations, we resolve
some conjectures of Cecotti and Vafa concerning the positivity of S+S^t (where
S is the Stokes matrix) and the unimodularity of the eigenvalues of the
monodromy matrix.


title:
Geometric Methods for Invariant-Zero Cancellation in Linear
  Multivariable Systems: Illustrative Examples

abstract:
  This note presents some numerical examples worked out in order to show the
reader how to implement, within a widely accessible computational setting, the
methodology for achieving zero cancellation in linear multivariable systems
discussed in [1]. The results are evaluated in the light of applicability and
performance of different methods available in the literature.


title:
The unusual multiwavelength properties of the gamma-ray source
  PMNJ1603-4904

abstract:
  We investigate the nature and classification of PMNJ1603-4904, a bright radio
source close to the Galactic plane, which is associated with one of the
brightest hard-spectrum gamma-ray sources detected by Fermi/LAT. It has
previously been classified as a low-peaked BL Lac object based on its broadband
emission and the absence of optical emission lines. Optical measurements,
however, suffer strongly from extinction and the absence of pronounced
short-time gamma-ray variability over years of monitoring is unusual for a
blazar. We are combining new and archival multiwavelength data in order to
reconsider the classification and nature of this unusual gamma-ray source. For
the first time, we study the radio morphology at 8.4GHz and 22.3GHz, and its
spectral properties on milliarcsecond (mas) scales, based on VLBI observations
from the TANAMI program. We combine the resulting images with multiwavelength
data in the radio, IR, optical/UV, X-ray, and gamma-ray regimes. PMNJ1603-4904
shows a symmetric brightness distribution at 8.4GHz on mas-scales, with the
brightest, and most compact component in the center of the emission region. The
morphology is reminiscent of a Compact Symmetric Object (CSO). Such objects
have been predicted to produce gamma-ray emission but have not been detected as
a class by Fermi/LAT so far. Sparse (u, v)-coverage at 22.3GHz prevents an
unambiguous modeling of the source morphology. IR measurements reveal an excess
in the spectral energy distribution (SED), which can be modeled with a
blackbody with a temperature of about 1600K, and which is usually not present
in blazar SEDs. The VLBI data and the shape of the SED challenge the current
blazar classification. PMNJ1603-4904 seems to be either a highly peculiar BL
Lac object or a misaligned jet source. In the latter case, the intriguing VLBI
structure opens room for a possible classification as a gamma-ray bright CSO.


title: Subjective Logic Operators in Trust Assessment: an Empirical Study

abstract:
  Computational trust mechanisms aim to produce trust ratings from both direct
and indirect information about agents' behaviour. Subjective Logic (SL) has
been widely adopted as the core of such systems via its fusion and discount
operators. In recent research we revisited the semantics of these operators to
explore an alternative, geometric interpretation. In this paper we present a
principled desiderata for discounting and fusion operators in SL. Building upon
this we present operators that satisfy these desirable properties, including a
family of discount operators. We then show, through a rigorous empirical study,
that specific, geometrically interpreted operators significantly outperform
standard SL operators in estimating ground truth. These novel operators offer
real advantages for computational models of trust and reputation, in which they
may be employed without modifying other aspects of an existing system.


title: Is BZB J1450+5201 the most distant $\gamma$-ray BL Lacertae object?

abstract:
  BL Lacertae (BL Lac) objects at high redshifts ($z\geq 2$) are rarely
detected. Through careful analysis of the SDSS spectrum, BZB J1450+5201 is
confirmed to be a high-$z$ BL Lac object with $z\geq$ 2.471 by identifying the
Ly$\alpha$ 1216 and CIV 1548/1550 absorption lines. This indicates that BZB
J1450+5201 is the most distant BL Lac object discovered to date. Careful
analysis of the five-year \fermi data of 2FGL J1451.0+5159 shows that its
$\gamma$-ray emission is robust with confidence level of 6.2$\sigma$ at 1-3 GeV
and 6.7$\sigma$ at 3-10 GeV, and that the confusion of bright neighbor is
negligible, which can not be fixed in the analysis of the two-year data.
Meanwhile, 2FGL J1451.0+5159 is confirmed to be associated with BZB J1450+5201
using the five-year data. The analysis of multiwavelength data, from radio to
$\gamma$-ray energies, indicates BZB J1450+5201 is an intermediate synchrotron
peaked (ISP) source and consistent with distributions of other ISP sources at
lower redshifts in the second LAT AGN catalog. The pure SSC model seems to be
disfavoured, while scattering of weak external emission plus SSC process can
provide a satisfactory description of the broadband emission.


title: No-Scale Supergravity in the Light of LHC and Planck

abstract:
  We review the No-Scale F-SU(5) model with extra TeV-scale vector-like flippon
multiplets and associated collider phenomenology relating to the search for
supersymmetry at the LHC. The model framework possesses the rather unique
capacity to provide a light CP-even Higgs boson mass in the favored 124-126 GeV
window while simultaneously retaining a testably light Supersymmetry (SUSY)
spectrum. We further elucidate the emerging empirical connection between recent
Planck satellite data and No-Scale Supergravity cosmological models that mimic
the Starobinsky model of inflation, drawing upon work conducted by the
conference presenter (DVN) with John Ellis (King's College London/CERN) and
Keith Olive (Minnesota).


title: Perturbative expansion of tau hadronic spectral function moments

abstract:
  In the extraction of $\alpha_s$ from hadronic tau decay data several moments
of the spectral functions have been employed. Furthermore, different
renormalization group improvement (RGI) frameworks have been advocated, leading
to conflicting values of $\alpha_s$. Recently, we performed a systematic study
of the perturbative behavior of these moments in the context of the two
main-stream RGI frameworks: Fixed Order Perturbation Theory (FOPT) and Contour
Improved Perturbation Theory (CIPT). The yet unknown higher order coefficients
of the perturbative series were modelled using the available knowledge of the
renormalon singularities of the QCD Adler function. We were able to show that
within these RGI frameworks some of the commonly employed moments should be
avoided due to their poor perturbative behavior. Furthermore, under reasonable
assumptions about the higher order behavior of the perturbative series FOPT
provides the preferred RGI framework.


title:
No-hair conjectures, primordial shear and protoinflationary initial
  conditions

abstract:
  Anisotropic inflationary background geometries are analyzed in the context of
an extended gauge action where the electric and magnetic susceptibilities are
not bound to coincide and depend on the inflaton field. After deriving various
classes of solutions with electric and magnetic hairs, we discuss the problem
of the initial boundary conditions of the shear parameter and consider a
globally neutral plasma as a possible relic of a preinflationary stage of
expansion. While electric hairs are washed out by the finite value of the
protoinflationary conductivity, magnetic hairs can persist and introduce a tiny
amount of shear causing a different inflationary rate of expansion along
orthogonal spatial directions. The plasma interactions are a necessary
criterion to discriminate between physical and unphysical initial conditions
but they are not strictly sufficient to warrant the stability of a given
magnetic solution.


title: Toward Security Verification against Inference Attacks on Data Trees

abstract:
  This paper describes our ongoing work on security verification against
inference attacks on data trees. We focus on infinite secrecy against inference
attacks, which means that attackers cannot narrow down the candidates for the
value of the sensitive information to finite by available information to the
attackers. Our purpose is to propose a model under which infinite secrecy is
decidable. To be specific, we first propose tree transducers which are
expressive enough to represent practical queries. Then, in order to represent
attackers' knowledge, we propose data tree types such that type inference and
inverse type inference on those tree transducers are possible with respect to
data tree types, and infiniteness of data tree types is decidable.


title: The planar Busemann-Petty centroid inequality and its stability

abstract:
  In [Centro-affine invariants for smooth convex bodies, Int. Math. Res.
Notices. doi: 10.1093/imrn/rnr110, 2011] Stancu introduced a family of
centro-affine normal flows, $p$-flow, for $1\leq p<\infty.$ Here we investigate
the asymptotic behavior of the planar $p$-flow for $p=\infty$ in the class of
smooth, origin-symmetric convex bodies. First, we prove that the $\infty$-flow
evolves suitably normalized origin-symmetric solutions to the unit disk in the
Hausdorff metric, modulo $SL(2).$ Second, using the $\infty$-flow and a Harnack
estimate for this flow, we prove a stability version of the planar
Busemann-Petty centroid inequality in the Banach-Mazur distance. Third, we
prove that the convergence of normalized solutions in the Hausdorff metric can
be improved to convergence in the $\mathcal{C}^{\infty}$ topology.


title: Particle dark matter searches in the anisotropic sky

abstract:
  Anisotropies in the electromagnetic emission produced by dark matter
annihilation or decay in the extragalactic sky are a recent tool in the quest
for a particle dark matter evidence. We review the formalism to compute the
two-point angular power spectrum in the halo-model approach and discuss the
features and the relative size of the various auto- and cross-correlation
signals that can be envisaged for anisotropy studies. From the side of particle
dark matter signals, we consider the full multi-wavelength spectrum, from the
radio emission to X-ray and gamma-ray productions. We discuss the angular power
spectra of the auto-correlation of each of these signals and of the
cross-correlation between any pair of them. We then extend the search to
comprise specific gravitational tracers of dark matter distribution in the
Universe: weak-lensing cosmic shear, large-scale-structure matter distribution
and CMB-lensing. We have shown that cross-correlating a multi-wavelength dark
matter signal (which is a direct manifestation of its particle physics nature)
with a gravitational tracer (which is a manifestation of the presence of large
amounts of unseen matter in the Universe) may offer a promising tool to
demonstrate that what we call dark matter is indeed formed by elementary
particles.


title: Instabilities and Topological Defects in Active Nematics

abstract:
  We study a continuum model of an extensile active nematic to show that
mesoscale turbulence develops in two stages: (i) ordered regions undergo an
intrinsic hydrodynamic instability generating walls, lines of stong bend
deformations, (ii) the walls relax by forming oppositely charged pairs of
defects. Both creation and annihilation of defect pairs reinstate nematic
regions which undergo further instabilities, leading to a dynamic steady state.
We compare this with the development of active turbulence in a contractile
active nematic.


title:
Equations for massless and massive spin-1/2 particles with varying speed
  and neutrino in matter

abstract:
  The modified Dirac equations describing massless and massive spin-1/2
particles violating the Lorentz invariance are considered. The equation for
massless fermions with varying speed is formulated in the 16-component
first-order form. The projection matrix, which is the density matrix,
extracting solutions to the equation has been obtained. Exact solutions to the
equation and energy spectrum for a massive neutrino are obtained in the
presence of background matter. We have considered as subluminal as well as
superluminal propagations of neutrinos. The bounds on the Lorentz invariance
violation parameter from astrophysical observations by IceCube, OPERA, MINOS
collaborations and by the SN1987A supernova are obtained for superluminal
neutrinos.


title:
Non-linear effects in electron cyclotron current drive applied for the
  stabilization of neoclassical tearing modes

abstract:
  Due to the smallness of the volumes associated with the flux surfaces around
the O-point of a magnetic island, the electron cyclotron power density applied
inside the island for the stabilization of neoclassical tearing modes (NTMs)
can exceed the threshold for non-linear effects as derived previously by Harvey
et al, Phys. Rev. Lett. 62 (1989) 426. We study the non-linear electron
cyclotron current drive (ECCD) efficiency through bounce-averaged, quasi-linear
Fokker-Planck calculations in the magnetic geometry as created by the islands.
The calculations are performed for the parameters of a typical NTM
stabilization experiment on ASDEX Upgrade. A particular feature of these
experiments is that the rays of the EC wave beam propagate tangential to the
flux surfaces in the power deposition region. The calculations show significant
non-linear effects on the ECCD efficiency, when the ECCD power is increased
from its experimental value of 1 MW to a larger value of 4 MW. The nonlinear
effects are largest in case of locked islands or when the magnetic island
rotation period is longer than the collisional time scale. The non-linear
effects result in an overall reduction of the current drive efficiency for this
case with absorption of the EC power on the low field side of the electron
cyclotron resonance layer. As a consequence of the non-linear effects, also the
stabilizing effect of the ECCD on the island is reduced from linear
expectations.


title: Reasoning about the Impacts of Information Sharing

abstract:
  In this paper we describe a decision process framework allowing an agent to
decide what information it should reveal to its neighbours within a
communication graph in order to maximise its utility. We assume that these
neighbours can pass information onto others within the graph. The inferences
made by agents receiving the messages can have a positive or negative impact on
the information providing agent, and our decision process seeks to identify how
a message should be modified in order to be most beneficial to the information
producer. Our decision process is based on the provider's subjective beliefs
about others in the system, and therefore makes extensive use of the notion of
trust. Our core contributions are therefore the construction of a model of
information propagation; the description of the agent's decision procedure; and
an analysis of some of its properties.


title: A simple sequent calculus for nominal logic

abstract:
  Nominal logic is a variant of first-order logic that provides support for
reasoning about bound names in abstract syntax. A key feature of nominal logic
is the new-quantifier, which quantifies over fresh names (names not appearing
in any values considered so far). Previous attempts have been made to develop
convenient rules for reasoning with the new-quantifier, but we argue that none
of these attempts is completely satisfactory.
  In this article we develop a new sequent calculus for nominal logic in which
the rules for the new- quantifier are much simpler than in previous attempts.
We also prove several structural and metatheoretic properties, including
cut-elimination, consistency, and equivalence to Pitts' axiomatization of
nominal logic.


title:
The Clustering of Galaxies in the SDSS-III Baryon Oscillation
  Spectroscopic Survey: Including covariance matrix errors

abstract:
  We present improved methodology for including covariance matrices in the
error budget of Baryon Oscillation Spectroscopic Survey (BOSS) galaxy
clustering measurements, revisiting Data Release 9 (DR9) analyses, and
describing a method that is used in DR10/11 analyses presented in companion
papers. The precise analysis method adopted is becoming increasingly important,
due to the precision that BOSS can now reach: even using as many as 600 mock
catalogues to estimate covariance of 2-point clustering measurements can still
lead to an increase in the errors of ~20%, depending on how the cosmological
parameters of interest are measured. In this paper we extend previous work on
this contribution to the error budget, deriving formulae for errors measured by
integrating over the likelihood, and to the distribution of recovered best-fit
parameters fitting the simulations also used to estimate the covariance matrix.
Both are situations that previous analyses of BOSS have considered. We apply
the formulae derived to Baryon Acoustic Oscillation (BAO) and Redshift-Space
Distortion (RSD) measurements from BOSS in our companion papers. To further aid
these analyses, we consider the optimum number of bins to use for 2-point
measurements using the monopole power spectrum or correlation function for BAO,
and the monopole and quadrupole moments of the correlation function for
anisotropic-BAO and RSD measurements.


title:
Core and Wing Densities of Asymmetric Coronal Spectral Profiles:
  Implications for the Mass Supply of the Solar Corona

abstract:
  Recent solar spectroscopic observations have shown that coronal spectral
lines can exhibit asymmetric profiles, with enhanced emissions at their blue
wings. These asymmetries correspond to rapidly upflowing plasmas at speeds
exceeding ~ 50 km/s. Here, we perform a study of the density of the rapidly
upflowing material and compare it to that of the line core which corresponds to
the bulk of the plasma. For this task we use spectroscopic observations of
several active regions taken by the Extreme Ultraviolet Imaging Spectrometer of
the Hinode mission. The density sensitive ratio of the Fe XIV lines at 264.78
and 274.20 A is used to determine wing and core densities. We compute the ratio
of the blue wing density to the core density and find that most values are of
order unity. This is consistent with the predictions for coronal nanoflares if
most of the observed coronal mass is supplied by chromospheric evaporation
driven by the nanoflares. However, much larger blue wing-to-core density ratios
are predicted if most of the coronal mass is supplied by heated material
ejected with type II spicules. Our measurements do not rule out a spicule
origin for the blue wing emission, but they argue against spicules being a
primary source of the hot plasma in the corona. We note that only about 40% of
the pixels where line blends could be safely ignored have blue wing asymmetries
in both Fe XIV lines. Anticipated sub-arcsecond spatial resolution
spectroscopic observations in future missions could shed more light on the
origin of blue, red, and mixed asymmetries.


title: Detection of a Noble Gas Molecular Ion, {36}ArH^+, in the Crab Nebula

abstract:
  Noble gas molecules have not hitherto been detected in space. From spectra
obtained with the Herschel Space Observatory, we report the detection of
emission in the 617.5 GHz and 1234.6 GHz J = 1-0 and 2-1 rotational lines of
{36}ArH^+ at several positions in the Crab Nebula, a supernova remnant known to
contain both H2 molecules and regions of enhanced ionized argon emission.
{36}Ar is believed to have originated from explosive nucleosynthesis in massive
stars during core-collapse supernova events. Its detection in the Crab Nebula,
the product of such a supernova event, confirms this expectation. The likely
excitation mechanism for the observed {36}ArH^+ emission lines is electron
collisions in partially ionized regions with electron densities of a few
hundred per centimeter cubed.


title:
Off-Diagonal Deformations of Kerr Black Holes in Einstein and Modified
  Massive Gravity and Higher Dimensions

abstract:
  We find general parameterizations for generic off-diagonal spacetime metrics
and matter sources in general relativity (GR) and modified gravity theories
when the field equations decouple with respect to certain types of nonholonomic
frames of reference. This allows us to construct various classes of exact
solutions when the coefficients of the fundamental geometric/ physical objects
depend on all spacetime coordinates via corresponding classes of generating and
integration functions and/or constants. Such (modified) spacetimes display
Killing and non-Killing symmetries, describe nonlinear vacuum configurations
and effective polarizations of cosmological and interaction constants. Our
method can be extended to higher dimensions which simplifies some proofs for
embedded and nonholonomically constrained four-dimensional configurations. We
reproduce the Kerr solution and show how to deform it nonholonomically into new
classes of generic off-diagonal solutions depending on 3-8 spacetime
coordinates. Certain examples of exact solutions are analyzed and that are
determined by contributions of new type of interactions with sources in massive
gravity and/or modified f(R,T) gravity. We conclude that by considering generic
off-diagonal nonlinear parametric interactions in GR it is possible to mimic
various effects in massive and/or modified gravity, or to distinguish certain
classes of "generic" modified gravity solutions which cannot be encoded in GR.


title: Analytic theory of discontinuities in current-carrying cosmic strings

abstract:
  We formulate an analytic method to study the discontinuities in
superconducting cosmic strings. Equations of discontinuities and conditions of
their existence are derived from the intrinsic and extrinsic equations of
motion. It is the fundamental for research of particular solutions, associated
with kinks, cusps and shocks.


title:
Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic
  dynamical systems including A-coupled expanding systems

abstract:
  In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs
for some chaotic dynamical systems including $A$-coupled expanding systems. We
prove that Li-Yorke pairs of $A$- coupled-expanding system under some
conditions have full hausdorff dimension on the invariant set. we generalize
the result of [8] on the Hausdorff dimension of Li-Yorke pairs of dynamical
systems topologically conjugate to the full shift and having a self-similar
invariant set to the case of dynamical system conjugated to some kind of
subshifts. And Hausdorff dimension of "chaotic invariant set" for some kind of
A-coupled-expanding maps is shown.


title:
Low energy magnetic excitations in the spin-orbital Mott insulator
  Sr$_2$IrO$_4$

abstract:
  We report a high-field electron spin resonance study in the sub-THz frequency
domain of a single crystal of Sr$_2$IrO$_4$ that has been recently proposed as
a prototypical spin-orbital Mott insulator. In the antiferromagnetically (AFM)
ordered state with noncollinear spin structure that occurs in this material at
$T_{\rm N} \approx 240$ K we observe both the "low" frequency mode due to the
precession of weak ferromagnetic moments arising from a spin canting, and the
"high" frequency modes due to the precession of the AFM sublattices.
Surprisingly, the energy gap for the AFM excitations appears to be very small,
amounting to 0.83 meV only. This suggests a rather isotropic Heisenberg
dynamics of interacting Ir$^{4+}$ effective spins despite the spin-orbital
entanglement in the ground state.


title:
Nova Centauri 2013 broad maximum from visual observations calibrated
  with same altitude stars

abstract:
  A bright Nova in Centaurus was discovered on Dec 2, 2013 at magnitude V=5.5.
Its luminosity reached mv=3.8 from Dec 5 to 7, becoming the brightest Nova of
2013 and of the last decades. On Dec 14 it brightened at mv=3.2. The
observations of the author contributed to the compilation of the IAU Circular
9265 which announced the Nova as V1369 Cen and are here described. The first
observations have been made with naked eye, and the use of same altitude
calibration stars of similar color allowed an accuracy within 0.1 magnitudes.
The method of selecting stars on the same almucantarat (altitude circle) even
farther than 20 degrees, reduces the effects of differential atmospheric
extinction. Its application is useful not only for bright Novae but also for
luminous variable stars like the supergiant Betelgeuse and Antares and some
bright Miras.


title: Advection of passive particles over flow networks

abstract:
  The problem of stochastic advection of passive particles by circulating
conserved flows on networks is formulated and investigated. The particles
undergo transitions between the nodes with the transition rates determined by
the flows passing through the links. Such stochastic advection processes lead
to mixing of particles in the network and, in the final equilibrium state,
concentration of particles in all nodes become equal. As we find, equilibration
begins in the subset of nodes, representing flow hubs, and extends to the
periphery nodes with weak flows. This behavior is related to the effect of
localization of the eigenvectors of the advection matrix for considered
networks. Applications of the results to problems involving spreading of
infections or pollutants by traffic networks are discussed.

categories: cond-mat.stat-mech math-ph math.MP physics.comp-ph


title:
Calibrating Data from the Hinode/X-Ray Telescope and Associated
  Uncertainties

abstract:
  The X-Ray Telescope (XRT) onboard the Hinode satellite, launched 23 September
2006 by the Japanese Aerospace Exploration Agency (JAXA) is a joint mission
between Japan, the United States, and the United Kingdom to study the solar
corona. In particular XRT was designed to study solar plasmas with temperatures
between 1 and 10 MK with $\approx1''$ pixels ($\approx2''$ resolution). Prior
to analysis, the data product from this instrument must be properly calibrated
and data values quantified in order to assess accurately the information
contained within. We present here the standard methods of calibration for these
data. The calibration is performed on an empirical basis which uses the least
complicated correction that accurately describes the data while suppressing
spurious features. By analyzing the uncertainties remaining in the data after
calibration, we conclude that the procedure is successful, as the remaining
uncertainty after calibration is dominated by photon noise. This calibration
software is available in the Solar Soft software library.


title:
Representing, Simulating and Analysing Ho Chi Minh City Tsunami Plan by
  Means of Process Models

abstract:
  This paper considers the textual plan (guidelines) proposed by People's
Committee of Ho Chi Minh City (Vietnam) to manage earthquake and tsunami, and
try to represent it in a more formal way, in order to provide means to
simulate, analyse and adapt it. We first present a state of the art about
coordination models for disaster management with a focus on process oriented
approaches. We give an overview of the different dimensions of the textual
tsunami plan of Ho Chi Minh City and then the graphical representation of its
process with BPMN (Business Process Model and Notation). We finally show how to
exploit this process with workflow tools to simulate (YAWL tool) and analyse it
(ProM tool).


title:
Identification of Gaussian Process State-Space Models with Particle
  Stochastic Approximation EM

abstract:
  Gaussian process state-space models (GP-SSMs) are a very flexible family of
models of nonlinear dynamical systems. They comprise a Bayesian nonparametric
representation of the dynamics of the system and additional (hyper-)parameters
governing the properties of this nonparametric representation. The Bayesian
formalism enables systematic reasoning about the uncertainty in the system
dynamics. We present an approach to maximum likelihood identification of the
parameters in GP-SSMs, while retaining the full nonparametric description of
the dynamics. The method is based on a stochastic approximation version of the
EM algorithm that employs recent developments in particle Markov chain Monte
Carlo for efficient identification.


title: Bid-Centric Cloud Service Provisioning

abstract:
  Bid-centric service descriptions have the potential to offer a new cloud
service provisioning model that promotes portability, diversity of choice and
differentiation between providers. A bid matching model based on requirements
and capabilities is presented that provides the basis for such an approach. In
order to facilitate the bidding process, tenders should be specified as
abstractly as possible so that the solution space is not needlessly restricted.
To this end, we describe how partial TOSCA service descriptions allow for a
range of diverse solutions to be proposed by multiple providers in response to
tenders. Rather than adopting a lowest common denominator approach, true
portability should allow for the relative strengths and differentiating
features of cloud service providers to be applied to bids. With this in mind,
we describe how TOSCA service descriptions could be augmented with additional
information in order to facilitate heterogeneity in proposed solutions, such as
the use of coprocessors and provider-specific services.


title:
The clustering of galaxies in the SDSS-III Baryon Oscillation
  Spectroscopic Survey: cosmological implications of the full shape of the
  clustering wedges in the data release 10 and 11 galaxy samples

abstract:
  We explore the cosmological implications of the angle-averaged correlation
function, xi(s), and the clustering wedges, xi_perp(s) and xi_para(s), of the
LOWZ and CMASS galaxy samples from Data Release 10 and 11 of the SDSS-III
Baryon Oscillation Spectroscopic Survey. Our results show no significant
evidence for a deviation from the standard LCDM model. The combination of the
information from our clustering measurements with recent data from the cosmic
microwave background is sufficient to constrain the curvature of the Universe
to Omega_k = 0.0010 +- 0.0029, the total neutrino mass to Sum m_nu < 0.23 eV
(95% confidence level), the effective number of relativistic species to
N_eff=3.31 +- 0.27, and the dark energy equation of state to w_DE = -1.051 +-
0.076. These limits are further improved by adding information from type Ia
supernovae and baryon acoustic oscillations from other samples. In particular,
this data set combination is completely consistent with a time-independent dark
energy equation of state, in which case we find w_DE=-1.024 +- 0.052. We
explore the constraints on the growth-rate of cosmic structures assuming
f(z)=Omega_m(z)^gamma and obtain gamma=0.69 +- 0.15, in agreement with the
predictions from general relativity of gamma=0.55.


title: Quantum supergroups IV. The modified form

abstract:
  We construct a canonical basis for a class of tensor product modules of a
quantum covering group associated to a Kac-Moody Lie superalgebra of
anisotropic type, and use these bases to construct a canonical basis for the
modified form of a quantum covering group.


title:
Calculating statistical distributions from operator relations: the
  statistical distributions of various intermediate statistics

abstract:
  In this paper, we give a general discussion on the calculation of the
statistical distribution from a given operator relation of creation,
annihilation, and number operators. Our result shows that as long as the
relation between the number operator and the creation and annihilation
operators can be expressed as $a^{\dagger}b=\Lambda\left(N\right) $ or
$N=\Lambda^{-1} \left( a^{\dagger}b\right)$, where $N$, $a^{\dagger}$, and $b$
denote the number, creation, and annihilation operators, i.e., $N$ is a
function of quadratic product of the creation and annihilation operators, the
corresponding statistical distribution is the Gentile distribution, a
statistical distribution in which the maximum occupation number is an arbitrary
integer. As examples, we discuss the statistical distributions corresponding to
various operator relations. In particular, besides Bose-Einstein and
Fermi-Dirac cases, we discuss the statistical distributions for various schemes
of intermediate statistics, especially various $q$-deformation schemes. Our
result shows that the statistical distributions corresponding to various
$q$-deformation schemes are various Gentile distributions with different
maximum occupation numbers which are determined by the deformation parameter
$q$. This result shows that the results given in much literature on the
$q$-deformation distribution are inaccurate or incomplete.


title: A Comparison and Catalog of Intrinsic Tumor Growth Models

abstract:
  Determining the mathematical dynamics and associated parameter values that
should be used to accurately reflect tumor growth continues to be of interest
to mathematical modelers, experimentalists and practitioners. However, while
there are several competing canonical tumor growth models that are often
implemented, how to determine which of the models should be used for which
tumor types remains an open question. In this work, we determine the best fit
growth dynamics and associated parameter ranges for ten different tumor types
by fitting growth functions to at least five sets of published experimental
growth data per type of tumor. These time-series tumor growth data are used to
determine which of the five most common tumor growth models (exponential, power
law, logistic, Gompertz, or von Bertalanffy) provides the best fit for each
type of tumor.


title:
$k$-block parallel addition versus $1$-block parallel addition in
  non-standard numeration systems

abstract:
  Parallel addition in integer base is used for speeding up multiplication and
division algorithms. $k$-block parallel addition has been introduced by
Kornerup in 1999: instead of manipulating single digits, one works with blocks
of fixed length $k$. The aim of this paper is to investigate how such notion
influences the relationship between the base and the cardinality of the
alphabet allowing parallel addition. In this paper, we mainly focus on a
certain class of real bases --- the so-called Parry numbers. We give lower
bounds on the cardinality of alphabets of non-negative integer digits allowing
block parallel addition. By considering quadratic Pisot bases, we are able to
show that these bounds cannot be improved in general and we give explicit
parallel algorithms for addition in these cases. We also consider the
$d$-bonacci base, which satisfies the equation $X^d = X^{d-1} + X^{d-2} +
\cdots + X + 1$. If in a base being a $d$-bonacci number $1$-block parallel
addition is possible on the alphabet $\mathcal{A}$, then $\#\mathcal{A} \geq
d+1$; on the other hand, there exists a $k\in\mathbb{N}$ such that $k$-block
parallel addition in this base is possible on the alphabet $\{0,1,2\}$, which
cannot be reduced. In particular, addition in the Tribonacci base is $14$-block
parallel on alphabet $\{0,1,2\}$.


title:
High-spin structures of 124-131Te: Competition of proton and neutron
  pair breakings

abstract:
  The 124-131Te nuclei have been produced as fission fragments in two fusion
reactions induced by heavy-ions (12C + 238U at 90 MeV bombarding energy and 18O
+ 208Pb at 85 MeV) and studied with the Euroball array. Their high-spin level
schemes have been extended to higher excitation energy from the triple
gamma-ray coincidence data. The gamma-gamma angular correlations have been
analyzed in order to assign spin and parity values to many observed states.
Moreover the half-lives of isomeric states have been measured from the delayed
coincidences between the fission-fragment detector SAPhIR and Euroball, as well
as from the timing information of the Ge detectors. The behaviors of the yrast
structures identified in the present work are first discussed in comparison
with the general features known in the mass region, particularly the breakings
of neutron pairs occupying the nuh11/2 orbit identified in the neighboring Sn
nuclei. The experimental level schemes are then compared to shell-model
calculations performed in this work. The analysis of the wave functions shows
the effects of the proton-pair breaking along the yrast lines of the heavy Te
isotopes.


title: Low-rank Similarity Measure for Role Model Extraction

abstract:
  Computing meaningful clusters of nodes is crucial to analyze large networks.
In this paper, we present a pairwise node similarity measure that allows to
extract roles, i.e. group of nodes sharing similar flow patterns within a
network. We propose a low rank iterative scheme to approximate the similarity
measure for very large networks. Finally, we show that our low rank similarity
score successfully extracts the different roles in random graphs and that its
performances are similar to the pairwise similarity measure.


title: Limit theory for the Gilbert graph

abstract:
  For a given homogeneous Poisson point process in $\mathbb{R}^d$ two points
are connected by an edge if their distance is bounded by a prescribed distance
parameter. The behaviour of the resulting random graph, the Gilbert graph or
random geometric graph, is investigated as the intensity of the Poisson point
process is increased and the distance parameter goes to zero. The asymptotic
expectation and covariance structure of a class of length-power functionals are
computed. Distributional limit theorems are derived that have a Gaussian, a
stable or a compound Poisson limiting distribution. Finally, concentration
inequalities are provided using a concentration inequality for the convex
distance.


title: Black Hole Spin Properties of 130 AGN

abstract:
  Supermassive black holes may be described by their mass and spin. When
supermassive black holes are active, the activity provides a probe of the state
of the black hole system. The spin of a hole can be estimated when the black
hole mass and beam power of the source are known for sources with powerful
outflows. Seventy-five sources for which both the black hole mass and beam
power could be obtained are identified and used to obtain estimates of black
hole spins. The 75 supermassive black holes studied include 52 FRII radio
galaxies and 23 FRII radio loud quasars with redshifts ranging from about zero
to two. The new values are combined with those obtained previously for 19 FRII
radio galaxies, 7 FRII radio loud quasars, and 29 radio sources associated with
CD galaxies to form samples of 71 FRII radio galaxies, 30 FRII quasars, and a
total sample of 130 spin values; all of the sources are associated with massive
elliptical galaxies. The new values obtained are similar to those obtained
earlier at similar redshift, and range from about 0.1 to 1 for FRII sources.
The overall results are consistent with those obtained previously: the spins
tend to decrease with decreasing redshift for the FRII sources studied. There
is a hint that the range of values of black hole spin at a given redshift is
larger for FRII quasars than for FRII radio galaxies. There is no indication of
a strong correlation between supermassive black hole mass and spin for the
supermassive black holes studied here. The relation between beam power and
black hole mass is obtained and used as a diagnostic of the outflows and the
dependence of the magnetic field strength on black hole mass.


title: On $r$-Simple $k$-Path

abstract:
  An $r$-simple $k$-path is a {path} in the graph of length $k$ that passes
through each vertex at most $r$ times. The $r$-SIMPLE $k$-PATH problem, given a
graph $G$ as input, asks whether there exists an $r$-simple $k$-path in $G$. We
first show that this problem is NP-Complete. We then show that there is a graph
$G$ that contains an $r$-simple $k$-path and no simple path of length greater
than $4\log k/\log r$. So this, in a sense, motivates this problem especially
when one's goal is to find a short path that visits many vertices in the graph
while bounding the number of visits at each vertex.
  We then give a randomized algorithm that runs in time $$\mathrm{poly}(n)\cdot
2^{O( k\cdot \log r/r)}$$ that solves the $r$-SIMPLE $k$-PATH on a graph with
$n$ vertices with one-sided error. We also show that a randomized algorithm
with running time $\mathrm{poly}(n)\cdot 2^{(c/2)k/ r}$ with $c<1$ gives a
randomized algorithm with running time $\poly(n)\cdot 2^{cn}$ for the
Hamiltonian path problem in a directed graph - an outstanding open problem. So
in a sense our algorithm is optimal up to an $O(\log r)$ factor.


title:
Stability and convergence of difference schemes approximating a
  two-parameter nonlocal boundary value problem for time-fractional diffusion
  equation

abstract:
  Difference schemes for the time-fractional diffusion equation with variable
coefficients and nonlocal boundary conditions containing real parameters
$\alpha$ and $\beta$ are considered. By the method of energy inequalities, for
the solution of the difference problem, we obtain a priori estimates, which
imply the stability and convergence of these difference schemes.