title: Constraining the primordial orbits of the Terrestrial Planets

abstract:
  Evidence in the Solar System suggests that the giant planets underwent an
epoch of radial migration that was very rapid, with an e-folding timescale
shorter than 1~Myr. It is probable that the cause of this migration was that
the giant planets experienced an orbital instability that caused them to
encounter each other, resulting in radial migration. Several works suggest that
this dynamical instability occurred `late', long after all the planets had
formed and the solar nebula had dissipated. Assuming that the terrestrial
planets had already formed, then their orbits would have been affected by the
migration of the giant planets. As a result, how did the orbits of the
terrestrial planets change? And can we use this migration to obtain information
on the primordial orbits of the terrestrial planets? We directly model a large
number of terrestrial planet systems and their response to giant planet
migration. We study the change in the Angular Momentum Deficit (AMD) of the
terrstrials. We conclude that the primordial AMD should have been lower than
~70\% of the current value, but higher than 10\%. We find that a scenario with
five giant planets better satisfies the orbital constraints of the terrestrial
planets. We predict that Mars was initially on an eccentric and inclined orbit
while the orbits of Mercury, Venus and Earth were more circular and coplanar.
The lower primordial dynamical excitement and the peculiar partitioning between
planets impose new constraints for terrestrial planet formation simulations.


title: Gaussian Graphical Model Estimation with False Discovery Rate Control

abstract:
  This paper studies the estimation of high dimensional Gaussian graphical
model (GGM). Typically, the existing methods depend on regularization
techniques. As a result, it is necessary to choose the regularized parameter.
However, the precise relationship between the regularized parameter and the
number of false edges in GGM estimation is unclear. Hence, it is impossible to
evaluate their performance rigorously. In this paper, we propose an alternative
method by a multiple testing procedure. Based on our new test statistics for
conditional dependence, we propose a simultaneous testing procedure for
conditional dependence in GGM. Our method can control the false discovery rate
(FDR) asymptotically. The numerical performance of the proposed method shows
that our method works quite well.


title:
Possible nodal superconducting gap in Fe$_{1+y}$(Te$_{1-x}$Se$_{x}$)
  single crystals from ultra-low temperature penetration depth measurements

abstract:
  Using a radio frequency tunnel diode oscillator technique, we measured the
temperature dependence of the in-plane London penetration depth
$\Delta\lambda_{ab}(T)$ in Fe$_{1+y}$(Te$_{1-x}$Se$_{x})$ single crystals, down
to temperatures as low as 50 mK. A significant number of samples, with nominal
Se concentration $x$=0.36, 0.40, 0.43 and 0.45 respectively, were studied and
in many cases we found that $\Delta\lambda_{ab}(T)$ shows an upturn below 0.7
K, indicative of a paramagnetic type contribution. After subtracting the
magnetic background, the low temperature behavior of penetration depth is best
described by a power law with exponent $n\approx2$ and with no systematic
dependence on the Se concentration. Most importantly, in the limit of
T$\rightarrow$0, in some samples we observed a narrow region of linear
temperature dependence of penetration depth, suggestive of nodes in the
superconducting gap of Fe$_{1+y}$(Te$_{1-x}$Se$_{x})$.


title: Complex Lines with Restricted Angles

abstract:
  This thesis is a study of large sets of unit vectors in $\cx^n$ such that the
absolute value of their standard inner products takes on only a small number of
values.
  We begin with bounds: what is the maximal size of a set of lines with only a
given set of angles? We rederive a series of upper bounds originally due to
Delsarte, Goethals and Seidel, but in a novel way using only zonal polynomials
and linear algebra. In the process we get some new results about complex
$t$-designs and also some new characterizations of tightness.
  Next we consider constructions. We describe some generic constructions using
linear codes and Cayley graphs, and then move to two specific instances of the
problem: mutually unbiased bases and equiangular lines. Both cases are
motivated by problems in quantum computing, although they have applications in
digital communications as well.
  Mutually unbiased bases are collections of orthonormal bases with a constant
angle between vectors from different bases. We construct some maximal sets in
prime-power dimensions, originally due to Calderbank, Cameron, Kantor and
Seidel, but again in a novel way using relative difference sets or
distance-regular antipodal covers. We also detail their numerous relations to
other combinatorial objects, including symplectic spreads, orthogonal
decompositions of Lie algebras, and spin models. Peripherally, we discuss
mutually unbiased bases in small dimensions that are not prime powers and in
real vector spaces.
  Equiangular lines are collections of vectors with only one angle between
them. We use difference sets from finite geometry to construct equiangular
lines: these sets do not have maximal size, but they are maximal with respect
to having all entries of the same absolute value. We also include some negative
results about constructions of maximal sets in large dimensions.


title:
Co-intercalation of Ammonia molecules between FeSe layers in Ba-doped
  FeSe superconductor

abstract:
  We have synthesized a Ba-doped FeSe superconductor using liquid ammonia, and
investigated in detail the structure and composition of the Ba-FeSe phase. In
the superconducting phase, both the Tc and the shielding fraction are almost
unchanged even if the nominal composition of Ba is varied in the region from
0.3 to 0.7. The optimized Tc is 38.8 K. We have determined the structure of the
superconducting phase with X-ray powder diffraction (using synchrotron
radiation) and here describe the co-intercalation of Ba and NH3 molecules
between the FeSe layers.


title: Volatility in options formulae for general stochastic dynamics

abstract:
  It is well-known that the Black-Scholes formula has been derived under the
assumption of constant volatility in stocks. In spite of evidence that this
parameter is not constant, this formula is widely used by financial markets.
This paper addresses the question of whether an alternative model for stock
price exists for which the Black-Scholes or similar formulae hold. The results
obtained in this paper are very general as no assumptions are made on the
dynamics of the model, whether it be the underlying price process, the
volatility process or how they relate to each other. We show that if the
formula holds for a continuum of strikes and three terminal times, then the
volatility must be constant. However, when it only holds for finitely many
strikes, and three or more maturity times, we obtain a universal bound on the
variation of the volatility. This bound yields that the implied volatility is
constant when the sequence of strikes increases to cover the entire half-line.
This recovers the result for a continuum of strikes by a different approach.


title: Maximal noiseless code rates for collective rotation channels on qudits

abstract:
  We study noiseless subsystems on collective rotation channels of qudits,
i.e., quantum channels with operators in the set ${\mathcal E}(d,n) = \{
U^{\otimes n}: U \in {\mathrm{SU}}(d)\}.$ This is done by analyzing the
decomposition of the algebra ${\mathcal A}(d,n)$ generated by ${\mathcal
E}(d,n)$. We summarize the results for the channels on qubits ($d=2$), and
obtain the maximum dimension of the noiseless subsystem that can be used as the
quantum error correction code for the channel. Then we extend our results to
general $d$. In particular, it is shown that the code rate, i.e., the number of
protected qudits over the number of physical qudits, always approaches 1 for a
suitable noiseless subsystem. Moreover, one can determine the maximum dimension
of the noiseless subsystem by solving a non-trivial discrete optimization
problem. The maximum dimension of the noiseless subsystem for $d = 3$ (qutrits)
is explicitly determined by a combination of mathematical analysis and the
symbolic software Mathematica.


title:
Quantum entanglement entropy and classical mutual information in
  long-range harmonic oscillators

abstract:
  We study different aspects of quantum von Neumann and R\'enyi entanglement
entropy of one dimensional long-range harmonic oscillators that can be
described by well-defined non-local field theories. We show that the
entanglement entropy of one interval with respect to the rest changes
logarithmically with the number of oscillators inside the subsystem. This is
true also in the presence of different boundary conditions. We show that the
coefficients of the logarithms coming from different boundary conditions can be
reduced to just two different universal coefficients. We also study the effect
of the mass and temperature on the entanglement entropy of the system in
different situations. The universality of our results is also confirmed by
changing different parameters in the coupled harmonic oscillators. We also show
that more general interactions coming from general singular Toeplitz matrices
can be decomposed to our long-range harmonic oscillators. Despite the
long-range nature of the couplings we show that the area law is valid in two
dimensions and the universal logarithmic terms appear if we consider subregions
with sharp corners. Finally we study analytically different aspects of the
mutual information such as its logarithmic dependence to the subsystem, effect
of mass and influence of the boundary. We also generalize our results in this
case to general singular Toeplitz matrices and higher dimensions.


title:
A fourth HI 21-cm absorption system in the sight-line of MG J0414+0534:
  a record for intervening absorbers

abstract:
  We report the detection of a strong HI 21-cm absorption system at z=0.5344,
as well as a candidate system at z=0.3389, in the sight-line towards the z=2.64
quasar MG J0414+0534. This, in addition to the absorption at the host redshift
and the other two intervening absorbers, takes the total to four (possibly
five). The previous maximum number of 21-cm absorbers detected along a single
sight-line is two and so we suspect that this number of gas-rich absorbers is
in some way related to the very red colour of the background source. Despite
this, no molecular gas (through OH absorption) has yet been detected at any of
the 21-cm redshifts, although, from the population of 21-cm absorbers as a
whole, there is evidence for a weak correlation between the atomic line
strength and the optical--near-infrared colour. In either case, the fact that
so many gas-rich galaxies (likely to be damped Lyman-alpha absorption systems)
have been found along a single sight-line towards a highly obscured source may
have far reaching implications for the population of faint galaxies not
detected in optical surveys, a possibility which could be addressed through
future wide-field absorption line surveys with the Square Kilometre Array.


title:
Optimization and numerical simulation for the accelerator of the
  commercial H- cyclotron ion source

abstract:
  A new ion source will be prepared for the CYCLONE30 commercial cyclotron with
a much advanced performance compared with the previous one. The newly designed
ion source has a very large transparency without deteriorating the beam optics,
which is designed to deliver an H- beam at 30 keV. The plasma generator of the
ion source is of an axially cusped bucket type, and the whole inner wall,
except the cathode filaments and plasma electrode side, functions as an anode.
The accelerator assembly consists of three circular aperture electrodes made of
copper. The simulation study was focused on finding parameter sets that raise
the percent of beam transmitted as large as possible and reduces the beam
divergence as low as possible. From the simulation results, it was concluded
that it is possible to achieve this goal by sliming the plasma electrode (G1),
shortening the first gap (G1-G2), and adjusting the G2 voltage.


title:
Strong coupling from the tau hadronic width by non-power QCD
  perturbation theory

abstract:
  Starting from the divergent character of the perturbative expansions in QCD
and using the technique of series acceleration by the conformal mappings of the
Borel plane, I define a novel, non-power perturbative expansion for the Adler
function, which simultaneously implements renormalization-group summation and
has a tamed large-order behaviour. The new expansion functions, which replace
the standard powers of the coupling, are singular at the origin of the coupling
plane and have divergent perturbative expansions, resembling the expanded
function itself. Confronting the new perturbative expansions with the standard
ones on specific models investigated recently in the literature, I show that
they approximate in an impressive way the exact Adler function and the spectral
function moments. Applied to the $\tau$ hadronic width, the contour-improved
and the renormalization-group summed non-power expansions in the
${\overline{\rm MS}}$ scheme lead to the prediction $\alpha_s(M_\tau^2)=
0.3192~^{+ 0.0167}_{-0.0126}$, which translates to $\alpha_s(M_Z^2)=
0.1184~^{+0.0020}_{-0.0016}$.


title: A topological characterization of omega-limit sets on dynamical systems

abstract:
  In this article, we deal with several notions in dynamical systems. Firstly,
we prove that both closure function and orbital function are idempotent on
set-valued dynamical systems. And we show that the compact limit set of a
connected set is also connected. Furthermore, we prove that the $\Omega$-limit
set of a compact set is quasi-attracting.


title: Functional equations for double series of Euler type with coefficients

abstract:
  We prove two types of functional equations for double series of Euler type
with complex coefficients. The first one is a generalization of the functional
equation for the Euler double zeta-function, proved in a former work of the
second-named author. The second one is more specific, which is proved when the
coefficients are Fourier coefficients of cusp forms and the modular relation is
essentially used in the course of the proof. As a consequence of functional
equation we are able to determine trivial zero divisors.


title: The Diamond Integral on Time Scales

abstract:
  We define a more general type of integral on time scales. The new diamond
integral is a refined version of the diamond-alpha integral introduced in 2006
by Sheng et al. A mean value theorem for the diamond integral is proved, as
well as versions of Holder's, Cauchy-Schwarz's and Minkowski's inequalities.


title: Modeling Hybrid Stars in Quark-Hadron Approaches

abstract:
  The study of neutron stars, or more general compact stars, is a topic of
central interest in nuclear astrophysics. Furthermore, neutron stars serve as
the only physical systems whose properties can be used to infer information on
cold and dense matter at several times nuclear saturation density. Therefore,
neutron star physics is ideally suited to complement the studies of
ultra-relativistic heavy-ion collisions that sample strongly interacting matter
at high temperature and relatively small net baryon density.
  In general, in order to pin down or at least constrain the properties of
dense matter, accurate measurements of neutron star properties like masses,
radii, rotational frequency, and cooling behavior are needed. Here, in
relatively recent times the reliable mass determination of the pulsar PSR
J1614-2230 of $M = 1.97 \pm 0.04 M_\odot$ has introduced an important benchmark
for modeling stars and strongly interacting matter. It puts constraints on the
structure of compact stars and possible exotic phases in the core of the stars
as will be discussed in this article. In order to investigate this point we
will consider a model for star matter that includes hyperonic and quark degrees
of freedom, and present results for compact star properties in the following.


title: The AT20G high angular resolution catalogue

abstract:
  We present the high angular resolution catalogue for the Australia Telescope
20 GHz (AT20G) survey, using the high angular resolution 6-km antenna data at
the baselines of ~ 4500 m of the Australia Telescope Compact Array (ATCA). We
have used the data to produce the visibility catalogue that separates the
compact Active Galactic Nuclei (AGNs) from the extended radio sources at the
0.15 arcsec angular scale, corresponding to the linear size scale of 1 kpc at
redshifts higher than 0.7. We find the radio population at 20 GHz to be
dominated by compact AGNs constituting 77% of the total sources in the AT20G.
We introduce the visibility-spectra diagnostic plot, produced using the AT20G
cross-matches with lower frequency radio surveys at 1 GHz (the NRAO-VLA Sky
Survey (NVSS) and the Sydney University Molonglo Sky Survey (SUMSS)), that
separates the 20 GHz population into distinct sub-populations of the compact
AGNs, the compact steep-spectrum sources, the extended AGN-powered sources and
extended flat-spectrum sources. The extended flat-spectrum sources include a
local thermal emitting population of high latitude planetary nebulae and also
gravitational lens and binary black hole candidates among the AGNs. We find a
smooth transition in properties between the compact CSS sources and the AGN
populations.
  The visibility catalogue, together with the main AT20G survey, provides an
estimate of angular size scales for sources in the AT20G and an estimate of the
flux arising from central cores of extended radio sources.
  The identification of the compact AGNs in the AT20G survey provides high
quality calibrators for high frequency radio telescope arrays and VLBI
observations.


title:
A dark energy with higher order derivatives of $H$ in the modified
  gravity $f(R,T)$

abstract:
  In this paper, we consider a recently proposed model of Dark Energy (DE)
which contains three terms (one proportional to the squared Hubble parameter,
one to the first derivative with respect to the cosmic time of the Hubble
parameter and one proportional to the second derivative with respect to the
cosmic time of the Hubble parameter) in the light of the $f\left(R,T \right)$
model of modified gravity, considering the particular model $f\left(R,T \right)
= \mu R + \nu T$, with $\mu$ and $\nu$ two free positive constant parameters.
Here $R$ and $T$ are the curvature and torsion scalars, respectively. In this
work, we have found that the Hubble parameter $H$ exhibits a decaying behavior
until redshifts of the order of $z\approx-0.5$ (when it starts to increase) and
the time derivative of the Hubble parameter goes from negative to positive
values for different redshifts. The equation of state (EoS) parameter of DE and
the effective EoS parameter exhibit a transition from $\omega<-1$ to
$\omega>-1$ (then the EoS parameters have a quintom-like behavior). We have
also found that the said model can attain the late time accelerated phase of
the universe. Using the statefinder parameters $r$ and $s$, we derived that the
considered model can attaining the $\Lambda$CDM phase of the universe and can
interpolate between dust and $\Lambda$CDM phase of the universe. Finally,
studying the squared speed of sound $v_s^2$, we have seen that the model under
consideration is classically stable in the earlier stage of the universe, but
classically unstable in the current stage.


title: Any network codes comes from an algebraic curve taking osculating spaces

abstract:
  In this note we prove that every network code over $\mathbb {F}_q$ may be
realized taking some of the osculating spaces of a smooth projective curve.


title: On the symmetric and Rees algebras of certain determinantal ideals

abstract:
  The purpose of this paper is to give an elementary proof to the theorem due
to Avramov on certain determinantal ideals of linear type.


title:
Phase Evolution and Freeze-out within Alternative Scenarios of
  Relativistic Heavy-Ion Collisions

abstract:
  Global evolution of the matter in relativistic collisions of heavy nuclei and
the resulting global freeze-out parameters are analyzed in a wide range of
incident energies 2.7 GeV $\le \sqrt{s_{NN}}\le$ 39 GeV. The analysis is
performed within the three-fluid model employing three different equations of
state (EoS): a purely hadronic EoS, an EoS with the first-order phase
transition and that with a smooth crossover transition. Global freeze-out
parameters deduced from experimental data within the statistical model are well
reproduced within the crossover scenario. The 1st-order-transition scenario is
slightly less successful. The worst reproduction is found within the purely
hadronic scenario. These findings make a link between the EoS and results of
the statistical model, and indicate that deconfinement onset occurs at
$\sqrt{s_{NN}}\gsim$ 5 GeV.


title: B-spline techniques for volatility modeling

abstract:
  This paper is devoted to the application of B-splines to volatility modeling,
specifically the calibration of the leverage function in stochastic local
volatility models and the parameterization of an arbitrage-free implied
volatility surface calibrated to sparse option data. We use an extension of
classical B-splines obtained by including basis functions with infinite
support. We first come back to the application of shape-constrained B-splines
to the estimation of conditional expectations, not merely from a scatter plot
but also from the given marginal distributions. An application is the Monte
Carlo calibration of stochastic local volatility models by Markov projection.
Then we present a new technique for the calibration of an implied volatility
surface to sparse option data. We use a B-spline parameterization of the
Radon-Nikodym derivative of the underlying's risk-neutral probability density
with respect to a roughly calibrated base model. We show that this method
provides smooth arbitrage-free implied volatility surfaces. Finally, we sketch
a Galerkin method with B-spline finite elements to the solution of the partial
differential equation satisfied by the Radon-Nikodym derivative.


title:
KamiWaAi - Interactive 3D Sketching with Java Based on Cl(4,1) Conformal
  Model of Euclidean Space

abstract:
  This paper introduces the new interactive Java sketching software KamiWaAi,
recently developed at the University of Fukui. Its graphical user interface
enables the user without any knowledge of both mathematics or computer science,
to do full three dimensional "drawings" on the screen. The resulting
constructions can be reshaped interactively by dragging its points over the
screen. The programming approach is new. KamiWaAi implements geometric objects
like points, lines, circles, spheres, etc. directly as software objects (Java
classes) of the same name. These software objects are geometric entities
mathematically defined and manipulated in a conformal geometric algebra,
combining the five dimensions of origin, three space and infinity. Simple
geometric products in this algebra represent geometric unions, intersections,
arbitrary rotations and translations, projections, distance, etc. To ease the
coordinate free and matrix free implementation of this fundamental geometric
product, a new algebraic three level approach is presented. Finally details
about the Java classes of the new GeometricAlgebra software package and their
associated methods are given. KamiWaAi is available for free internet download.
  Key Words: Geometric Algebra, Conformal Geometric Algebra, Geometric Calculus
Software, GeometricAlgebra, Java Package, Interactive 3D Software, Geometric
Objects


title:
Three-dimensional magnetic and abundance mapping of the cool Ap star HD
  24712 I. Spectropolarimetric observations in all four Stokes parameters

abstract:
  High-resolution spectropolarimetric observations provide simultaneous
information about stellar magnetic field topologies and three-dimensional
distributions of chemical elements. Here we present analysis of a unique full
Stokes vector spectropolarimetric data set, acquired for the cool magnetic Ap
star HD 24712. The goal of our work is to examine circular and linear
polarization signatures inside spectral lines and to study variation of the
stellar spectrum and magnetic observables as a function of rotational phase. HD
24712 was observed with the HARPSpol instrument at the 3.6-m ESO telescope over
a period of 2010-2011. The resulting spectra have S/N ratio of 300-600 and
resolving power exceeding 100000. The multiline technique of least-squares
deconvolution (LSD) was applied to combine information from the spectral lines
of Fe-peak and rare-earth elements. We used the HARPSPol spectra of HD 24712 to
study the morphology of the Stokes profile shapes in individual spectral lines
and in LSD Stokes profiles corresponding to different line masks. From the LSD
Stokes V profiles we measured the longitudinal component of the magnetic field,
<Bz>, with an accuracy of 5-10 G. We also determined the net linear
polarization from the LSD Stokes Q and U profiles. We determined an improved
rotational period of the star, P_rot = 12.45812 +/- 0.00019d. We measured <Bz>
from the cores of Halpha and Hbeta lines. The analysis of <Bz> measurements
showed no evidence for a significant radial magnetic field gradient in the
atmosphere of HD 24712. We used our <Bz> and net linear polarization
measurements to determine parameters of the dipolar magnetic field topology. We
found that magnetic observables can be reasonably well reproduced by the
dipolar model. We discovered rotational modulation of the Halpha core and
related it a non-uniform surface distribution of rare-earth elements.


title: Soliton Defects in One-dimensional Topological Three-band Hamiltonian

abstract:
  Defect formation in the one-dimensional topological three-band model is
examined within both lattice and continuum models. Classic results of
Jackiw-Rebbi and Rice-Mele for the soliton charge is generalized to the
three-band model. The presence of the central flat band in the three-band model
makes the soliton charge as a function of energy behave in a qualitatively
different way from the two-band Dirac model case. Quantum field-theoretical
calculation of Goldstone and Wilczek is also generalized to the three-band
model to obtain the soliton charge. Diamond-chain lattice is shown to be an
ideal structure to host a topological three-band structure.


title: Engineering topological surface-states: HgS, HgSe and HgTe

abstract:
  Using density functional electronic structure calculations, we establish the
consequences of surface termination and modification on protected
surface-states of metacinnabar (beta-HgS). Whereas we find that the Dirac cone
is isotropic and well-separated from the valence band for the (110) surface, it
is highly anisotropic at the pure (001) surface. We demonstrate that the
anisotropy is modified by surface passivation because the topological
surface-states include contributions from dangling bonds. Such dangling bonds
exist on all pure surfaces within the whole class HgX with X = S, Se, or Te and
directly affect the properties of the Dirac cone. Surface modifications also
alter the spatial location (depth and decay length) of the topologically
protected edge-states which renders them essential for the interpretation of
photoemission data.


title: Shallow water asymptotic models for the propagation of internal waves

abstract:
  We are interested in asymptotic models for the propagation of internal waves
at the interface between two shallow layers of immiscible fluid, under the
rigid-lid assumption. We review and complete existing works in the literature,
in order to offer a unified and comprehensive exposition. Anterior models such
as the shallow water and Boussinesq systems, as well as unidirectional models
of Camassa-Holm type, are shown to descend from a broad Green-Naghdi model,
that we introduce and justify in the sense of consistency. Contrarily to
earlier works, our Green-Naghdi model allows a non-flat topography, and
horizontal dimension d = 2. Its derivation follows directly from classical
results concerning the one-layer case, and we believe such strategy may be used
to construct interesting models in different regimes than the
shallow-water/shallow-water studied in the present work.


title: Evidence for a Magnetic Seebeck effect

abstract:
  The irreversible thermodynamics of a continuous medium with magnetic dipoles
predicts that a temperature gradient in the presence of magnetisation waves
induces a magnetic induction field, which is the magnetic analog of the Seebeck
effect. This thermal gradient modulates the precession and relaxation. The
Magnetic Seebeck effect implies that magnetisation waves propagating in the
direction of the temperature gradient and the external magnetic induction field
are less attenuated, while magnetisation waves propagating in the opposite
direction are more attenuated.


title:
Lattice distortion effects on topological phases in
  (LaNiO$_3$)$_2$/(LaAlO$_3$)$_N$ heterostructures grown along the [111]
  direction

abstract:
  We theoretically investigate the influence of internal and external strain on
topological phases in (LaNiO$_3$)$_2$/(LaAlO$_3$)$_N$ heterostructures grown
along the [111] direction. At the Hartree-Fock level, topological phases
originate from an interaction-generated effective spin-orbit coupling that
opens a gap in the band structure. For the unstrained system, there is a
quadratic band touching at the $\Gamma$ point at the Fermi energy for
unpolarized electrons and Dirac points at K, K$'$ at the Fermi energy for fully
polarized electrons. Using density functional theory we show that the quadratic
band touching and Dirac points are remarkably stable to internal strain-induced
out-of-plane distortions and rotations of the oxygen octahedra, which we
compute. The lack of a gap opening from internal strain implies a robustness to
the mean-field predicted topological phases for both the polarized and
unpolarized systems. We also consider an external strain imposed along the
[001] cubic direction and show this can open a gap at the $\Gamma$ point but
leaves the Dirac points intact. Finally, we compute a phase diagram for
parameters relevant to LaNiO$_3$ which shows that strain favors a phase with
polarized orbitals and antiferromagnetic spin order, but leaves earlier
predictions for a zero-magnetic field topological quantum Hall state
essentially unchanged. Taken together, our results suggest that the [111]
growth direction in perovskites may lead to thin films that are relatively
immune to distortion effects compared to those grown along [001].


title:
Two-neutron transfer probabilities and spatial-localization effects at
  the drip line

abstract:
  We examine Cr isotopes at the drip line, where surface effects related to the
existence of a weakly bound $s1/2$ state are known to be important and tightly
connected with the pairing phenomenon (anti-halo effect). For these
weakly-bound isotopes, we evaluate the ground state to ground state two-neutron
transfer probabilities within a mean-field-based approach. An important part of
the discussion is devoted to the analysis of several procedures that can be
employed to constrain the parameters of a phenomenological pairing interaction.
The parameters are first adjusted to reproduce the experimental gaps evaluated
with the five-point formula. This choice has however some consequences on the
evolution of the pairing correlations along the isotopic chains and, in
particular, at shell closures. Other procedures are then followed (adjustment
on a theoretical pairing gap at mid-shell and on the two-neutron separation
energies).
  For the transfer probabilities, we discuss the effects associated to
different choices of the spatial localization of the pairing interaction. We
indicate that the analysis of pair-transfer reactions for such cases (where the
last bound state is a low-$l$ state in a weakly bound nucleus) may improve our
understanding of two aspects: the spatial distribution of pairing correlations
in nuclei and the general problem of the persistence of pairing at the drip
lines.


title:
Beam Spin Asymmetries of Charged and Neutral Pion Productions in
  Semi-inclusive DIS

abstract:
  We present a study on the beam single spin asymmetries $A_{LU}^{\sin\phi_h}$
of $\pi^+$, $\pi^-$ and $\pi^0$ production in semi-inclusive deep inelastic
scattering process, by considering Collins effect and the $g^\perp D_1$ term
simultaneously. We calculate the twist-3 distributions $e(x, \bm k_T^2)$ and
$g^\perp(x,\bm k_T^2)$ for the valence quarks inside the proton in a spectator
model. We consider two different options for the form of diquark propagator, as
well as two different choices for the model parameters in the calculation.
Using the model results, we estimate the beam spin asymmetries
$A_{LU}^{\sin\phi_h}$ for the charged and neutral pions and compare the results
with the measurement from the HERMES Collaboration. We also make predictions on
the asymmetries at CLAS with a $5.5 \,\textrm{GeV}$ beam using the same model
results. It is found that different choices for the diquark propagator will not
only lead to different expressions for the distribution functions, but also
result in different sizes of the asymmetries. Our study also shows that,
although the spectator model calculation can describe the asymmetries for
certain pion production in some kinematic regions, it seems difficult to
explain the asymmetries of pion production for all three pions in a consistent
way from the current versions.


title: Microlensing by a wide-separation planet: detectability and boundness

abstract:
  We explore the detection condition of a wide-separation planet through the
perturbation induced by the planetary caustic for various microlensing
parameters, especially for the size of the source stars. By constructing the
fractional deviation maps at various positions in the space of microlensing
parameters, we find that the pattern of the fractional deviation depends on the
ratio of the source radius to the caustic size, and the ratio satisfying the
observational threshold varies with the star-planet separation. We have also
obtained the upper limits of the source size that allows the detection of the
signature of the host star as a function of the separation for given
observational threshold. It is shown that this relation further leads one to a
simple analytic condition for the star-planet separation to detect the
boundness of wide-separation planets as a function of the mass ratio and the
source radius. For example, when 5% of the detection threshold is assumed, for
a source star with the radius of ~1 R_sun, an Earth-mass planet and a
Jupiter-mass planet can be recognized of its boundness when it is within the
separation range of ~10 AU and ~30 AU, respectively. We also compare the
separation ranges of detection by the planetary caustic with those by the
central caustic. It is found that when the microlensing light curve caused by
the planetary caustic happens to be analyzed, one may afford to support the
boundness of the wide-separation planet farther than when that caused by the
central caustic is analyzed. Finally, we conclude by briefly discussing the
implication of our findings on the next-generation microlensing experiments.


title:
Prospects of detecting the polarimetric signature of the Earth-mass
  planet alpha Centauri B b with SPHERE / ZIMPOL

abstract:
  Over the past five years, radial-velocity and transit techniques have
revealed a new population of Earth-like planets with masses of a few Earth
masses. Their very close orbit around their host star requires an exquisite
inner working angle to be detected in direct imaging and sets a challenge for
direct imagers that work in the visible range, like SPHERE / ZIMPOL. Among all
known exoplanets with less than twenty-five Earth-masses we first predict the
best candidate for direct imaging. Our primary objective is then to provide the
best instrument setup and observing strategy for detecting such a peculiar
object with ZIMPOL. As a second step, we aim at predicting its detectivity.
Using exoplanet properties constrained by radial velocity measurements,
polarimetric models and the diffraction propagation code CAOS, we estimate the
detection sensitivity of ZIMPOL for such a planet in different observing modes
of the instrument. We show how observing strategies can be optimized to yield
the best detection performance on a specific target. In our current knowledge
of exoplanetary systems, alpha Centauri B b is the most promising target with
less than twenty-five Earth-masses for ZIMPOL. With a gaseous
Rayleigh-scattering atmosphere and favorable inclinations, the planet could be
detected in about four hours of observing time, using the four-quadrant
phase-mask coronograph in the I band. However, if alpha Centauri B b should
display unfavorable polarimetric and reflective properties similar to that of
our Moon, it is around 50 times fainter than the best sensitivity of ZIMPOL.
Alpha Centauri B is a primary target for SPHERE. Dedicated deep observations
specifically targeting the radial velocity-detected planet can lead to a
detection if the polarimetric properties of the planet are favorable.


title:
Euclidean Geometric Objects in the Clifford Geometric Algebra of
  {Origin, 3-Space, Infinity}

abstract:
  This paper concentrates on the homogeneous (conformal) model of Euclidean
space (Horosphere) with subspaces that intuitively correspond to Euclidean
geometric objects in three dimensions. Mathematical details of the construction
and (useful) parametrizations of the 3D Euclidean object models are explicitly
demonstrated in order to show how 3D Euclidean information on positions,
orientations and radii can be extracted.


title: Seiberg-Witten Like equations on 5-dimensional contact metric manifolds

abstract:
  In this paper, we write down Seiberg-Witten equations on contact metric
manifolds of dimension 5. Any contact metric manifold has a spin^c structure.
For Dirac equation we use Dirac type operators associated to the generalized
Tanaka-Webster connection on spin^c spinor bundle of a contact metric manifold.
For curvature equation we need to self-duality concept. Self-duality concept is
significant on odd dimensional manifolds, particularly, on 5-dimensional
contact manifolds. Finally, we give a global solution to these equations on
strictly pseudoconvex CR manifolds.


title: MHD Simulation of a Sigmoid Eruption of Active Region 11283

abstract:
  Current magnetohydrodynamic (MHD) simulations of the initiation of solar
eruptions are still commonly carried out with idealized magnetic field models,
whereas the realistic coronal field prior to eruptions can possibly be
reconstructed from the observable photospheric field. Using a nonlinear
force-free field extrapolation prior to a sigmoid eruption in AR 11283 as the
initial condition in a MHD model, we successfully simulate the realistic
initiation process of the eruption event, as is confirmed by a remarkable
resemblance to the SDO/AIA observations. Analysis of the pre-eruption field
reveals that the envelope flux of the sigmoidal core contains a coronal null
and furthermore the flux rope is prone to a torus instability. Observations
suggest that reconnection at the null cuts overlying tethers and likely
triggers the torus instability of the flux rope, which results in the eruption.
This kind of simulation demonstrates the capability of modeling the realistic
solar eruptions to provide the initiation process.


title: Multi-pulse phase resetting curve

abstract:
  In this paper, we introduce and systematically study, in terms of phase
response curves (PRC), the effect of a dual pulse excitation on the dynamics of
an autonomous oscillator. Specifically, we test the deviations from a linear
summation of phase advances from two small perturbations. We derive
analytically a correction term, which generally appears for oscillators whose
intrinsic dimensionality is greater than one. We demonstrate this effect in
case of the Stuart-Landau model, and also in various higher dimensional
neuronal model.
  The non-linear correction is found to be proportional to the square of the
perturbation. This deviation from the superposition principle needs to be taken
into account in studies of networks of pulse-coupled oscillators. Further, this
deviation could be used for verification of oscillator models via a dual pulse
excitation.


title: Spin-Echo-Based Magnetometry with Spinor Bose-Einstein Condensates

abstract:
  We demonstrate detection of a weak alternate-current magnetic field by
application of the spin echo technique to F = 2 Bose-Einstein condensates. A
magnetic field sensitivity of 12 pT/Hz^1/2 is attained with the atom number of
5*10^3 at spatial resolution of 99 \mu m^2. Our observations indicate magnetic
field fluctuations synchronous with the power supply line frequency. We show
that this noise is greatly suppressed by application of a reverse phase
magnetic field. Our technique is useful in order to create a stable magnetic
field environment, which is an important requirement for atomic experiments
which require a weak bias magnetic field.


title: Speed of sound in liquids at high pressure

abstract:
  In this paper, a new general formula for the sound speed in adiabatic
conditions ( S = const ) has been established. The sound speed depends on the
mass density {\rho} (p,T ) and the internal energy per unit mass E(p,T ), both
expressed as functions of the pressure p and the temperature T . This formula
has been compared with experimental data on the example of triolein over the
pressure range up to 450 MPa. For experimental data, phenomenological
approximate formulas have been proposed. Those formulas have two versions,
depending on the 2 and 3 parameters. Both versions have been developed with the
help of the new expression (Eq.8) for the sound speed. The explicit form of
both approximate curves can be regarded as the result of purely
phenomenological modeling. However, in this paper, these new analytical
expressions have been obtained by applying the heuristic procedure described in
Appendix.


title: Tomography of a spin qubit in a double quantum dot

abstract:
  We investigate a range of methods to perform tomography in a solid-state
qubit device, for which a priori initialization and measurement of the qubit is
restricted to a single basis of the Bloch sphere. We explore and compare
several methods to acquire precise descriptions of additional states and
measurements, quantifying both stochastic and systematic errors, ultimately
leading to a tomographically-complete set that can be subsequently used in
process tomography. We focus in detail on the example of a spin qubit formed by
the singlet-triplet subspace of two electron spins in a GaAs double quantum
dot, although our approach is quite general.


title: Magnetic chains: From self-buckling to self-assembly

abstract:
  Spherical neodymium-iron-boron magnets are perman-ent magnets that can be
assembled into a variety of structures due to their high magnetic strength. A
one-dimensional chain of these magnets responds to mechanical loadings in a
manner reminiscent of an elastic rod. We investigate the macroscopic mechanical
properties of assemblies of ferromagnetic spheres by considering chains, rings,
and chiral cylinders of magnets. Based on energy estimates and simple
experiments, we introduce an effective magnetic bending stiffness for a chain
of magnets and show that, used in conjunction with classic results for elastic
rods, it provides excellent estimates for the buckling and vibration dynamics
of magnetic chains. We then use this estimate to understand the dynamic
self-assembly of a cylinder from an initially straight chain of magnets.


title: Anomalous Redshift of Some Galactic Objects

abstract:
  Anomalous redshifts of some galactic objects such as binary stars, early-type
stars in the solar neighborhood, and O stars in a star clusters are discussed.
It is shown that all these phenomena have a common characteristic, that is, the
redshifts of stars increase as the temperature rises. This characteristic
cannot be explained by means of the Doppler Effect but can by means of the
soft-photon process proposed by Yijia Zheng (arXiv:1305.0427 [astro-ph.HE]).


title:
Displacement Waves of Oxygen Atoms in Bi,Pb-2223 Lattice of Composites
  Annealed in Oxygen Reduced (O2+N2) Atmosphere

abstract:
  Annealing of Bi,Pb-2223/Ag composites in (O2+N2) atmosphere at 820-780C is
believed to reduce the number of the accompanying phases, to make contacts
between crystallites closer and to increase the critical current. The goals of
this study were to reveal the changes in the 2223 lattice at annealing in the
reduced oxygen atmosphere, to elucidate the reasons of these changes and to
discuss their effect on the ceramics superconductivity. After the annealing the
transversely-polarized displacement waves of oxygen atoms in [010]2223
direction have been found in the 2223 phase by electron diffraction analysis.
These waves could appear due to the lack of oxygen in the 2223 lattice or to
the nitrogen penetration in it. As demonstrated by the X-ray photo-electron
spectroscopy and nuclear microanalysis, nitrogen does not interact with the
2223 lattice, and the oxygen index decreases to 9.67, which is lower than the
stoichiometric. Thus, the atomic displacement waves result from the lack of
oxygen in Bi-O bilayers.


title: Conic Sections and Meet Intersections in Geometric Algebra

abstract:
  This paper first gives a brief overview over some interesting descriptions of
conic sections, showing formulations in the three geometric algebras of
Euclidean spaces, projective spaces, and the conformal model of Euclidean
space. Second the conformal model descriptions of a subset of conic sections
are listed in parametrizations specific for the use in the main part of the
paper. In the third main part the meets of lines and circles, and of spheres
and planes are calculated for all cases of real and virtual intersections. In
the discussion special attention is on the hyperbolic carriers of the virtual
intersections.


title:
Composition operators acting on weighted Hilbert spaces of analytic
  functions

abstract:
  In this paper, we consider composition operators on weighted Hilbert spaces
of analytic functions and observe that a formula for the essential norm, give a
Hilbert-Schmidt characterization and characterize the membership in
Schatten-class for these operators. Also, closed range composition operators
are investigated.


title: On the shape of rotating black-holes

abstract:
  We give a thorough description of the shape of rotating axisymmetric stable
black-hole (apparent) horizons applicable in dynamical or stationary regimes.
It is found that rotation manifests in the widening of their central regions
(rotational thickening), limits their global shapes to the extent that stable
holes of a given area A and angular momentum J (non zero) form a precompact
family (rotational stabilization) and enforces their whole geometry to be close
to the extreme-Kerr horizon geometry at almost maximal rotational speed
(enforced shaping). The results, which are based on the stability inequality,
depend only on A and J. In particular they are entirely independent of the
surrounding geometry of the space-time and of the presence of matter satisfying
the strong energy condition. A complete set of relations between A, J, the
length L of the meridians and the length R of the greatest axisymmetric circle,
is given. We also provide concrete estimations for the distance between the
geometry of horizons and that of the extreme Kerr, in terms only of A and J.
Besides it own interest, the work has applications to the Hoop conjecture as
formulated by Gibbons in terms of the Birkhoff invariant, to the Bekenstein-Hod
entropy bounds and to study the compactness of classes of stationary black-hole
space-times.


title: Another generalization of the gcd-sum function

abstract:
  We investigate an arithmetic function representing a generalization of the
gcd-sum function, considered by Kurokawa and Ochiai in 2009 in connection with
the multivariable global Igusa zeta function for a finite cyclic group. We show
that the asymptotic properties of this function are closely connected to the
Piltz divisor function. A generalization of Menon's identity is also
considered.


title: On the K-theory of feedback actions on linear systems

abstract:
  A categorical approach to linear control systems is introduced. Feedback
actions on linear systems arises as a symmetric monoidal category. Stable
feedback isomorphisms generalize enlargement of pairs of matrices. Subcategory
of locally Brunovsky linear systems is studied and the stable feedback
isomorphisms of locally Brunovsky linear systems are characterized by the K_0
group of the (monoidal) category. Hence a link from linear dynamical systems to
algebraic K-theory is stablished.


title:
Combinatorial Hopf algebra for the Ben Geloun-Rivasseau tensor field
  theory

abstract:
  The Ben Geloun-Rivasseau quantum field theoretical model is the first tensor
model shown to be perturbatively renormalizable. We define here an appropriate
Hopf algebra describing the combinatorics of this new tensorial
renormalization. The structure we propose is significantly different from the
previously defined Connes-Kreimer combinatorial Hopf algebras due to the
involved combinatorial and topological properties of the tensorial Feynman
graphs. In particular, the 2- and 4-point function insertions must be defined
to be non-trivial only if the superficial divergence degree of the associated
Feynman integral is conserved.


title: Quaternion Fourier Transform on Quaternion Fields and Generalizations

abstract:
  We treat the quaternionic Fourier transform (QFT) applied to quaternion
fields and investigate QFT properties useful for applications. Different forms
of the QFT lead us to different Plancherel theorems. We relate the QFT
computation for quaternion fields to the QFT of real signals. We research the
general linear ($GL$) transformation behavior of the QFT with matrices,
Clifford geometric algebra and with examples. We finally arrive at wide-ranging
non-commutative multivector FT generalizations of the QFT. Examples given are
new volume-time and spacetime algebra Fourier transformations.


title: Shearfree Spherically Symmetric Fluid Models

abstract:
  We try to find some exact analytical models of spherically symmetric
spacetime of collapsing fluid under shearfree condition. We consider two types
of solutions: one is to impose a condition on the mass function while the other
is to restrict the pressure. We obtain totally of five exact models, and some
of them satisfy the Darmois conditions.


title: Chemical Freeze-Out and Higher Order Multiplicity Moments

abstract:
  We calculate the non-normalized moments of the particle multiplicity within
the framework of the hadron resonance gas (HRG) model. At finite chemical
potential $\mu$, a non-monotonic behavior is observed in the thermal evolution
of third order moment (skewness $S$) and the higher order ones as well. Among
others, this observation likely reflects dynamical fluctuations and strong
correlations. The signatures of non-monotonicity in the normalized fourth order
moment (kurtosis $\kappa$) and its products get very clear. Based on these
findings, we introduce a novel condition characterizing the universal
freeze-out curve. The chemical freeze-out parameters $T$ and $\mu$ are
described by vanishing $\kappa\, \sigma^2$ or equivalently $m_4=3\,\chi^2$,
where $\sigma$, $\chi$ and $m_4$ are the standard deviation, susceptibility and
fourth order moment, respectively. The fact that the HRG model is not able to
release information about criticality related to the confinement and chiral
dynamics should not veil the observations related to the chemical freeze-out.
Recent lattice QCD studies strongly advocate the main conclusion of the present
paper.


title:
X-Ray Observation of the Galactic Supernova Remnant G355.6-0.0 with
  Suzaku

abstract:
  We present results of the Galactic supernova remnant (SNR) G355.6-0.0
observed with Suzaku. We resolved the diffuse emission detected with ASCA into
two objects, G355.6-0.0 and a point-like source, Suzaku J173530-3236. The X-ray
emission from G355.6-0.0 exhibits a center-filled morphology within the radio
shell. The X-ray spectrum is well represented by a thin thermal plasma model
with enhanced metal abundances. The spatial and spectral properties imply that
G355.6-0.0 is a member of the mixed-morphology SNRs. The NH value of ~ 6 x
10^{22} cm^{-2} supports that G355.6-0.0 is a distant SNR. Suzaku J173530-3236
exhibits a hard X-ray spectrum with a strong Fe emission line, similar to those
of cataclysmic variables. The NH value of ~ 3 x 10^{22} cm^{-2} is smaller than
that of G355.6-0.0, and hence Suzaku J173530-3236 is located at the near side
of G355.6-0.0.


title: Experimental test of the tradeoff relation in weak measurement

abstract:
  An upper bound between the information gain and state reversibility of weak
measurement was first developed by Y. K. Cheong and S. W. Lee [Phys. Rev. Lett.
109, 150402 (2012)]. Their results are valid for arbitrary d-level quantum
systems. In light of the commonly used qubit system in quantum information, a
sharp tradeoff relation can be obtained. In this letter, this tradeoff relation
is experimentally verified with polarization encoded single photons from a
quantum dot. Furthermore, a complete traversal of weak measurement operators is
realized, and the mapping to the least upper bound of this tradeoff relation is
obtained. Our results complement the theoretical work and provide a universal
ruler for the characterization of weak measurements.


title:
Deviation test construction and power comparison for marked spatial
  point patterns

abstract:
  The deviation test belong to core tools in point process statistics, where
hypotheses are typically tested considering differences between an empirical
summary function and its expectation under the null hypothesis, which depend on
a distance variable r. This test is a classical device to overcome the multiple
comparison problem which appears since the functional differences have to be
considered for a range of distances r simultaneously. The test has three basic
ingredients: (i) choice of a suitable summary function, (ii) transformation of
the summary function or scaling of the differences, and (iii) calculation of a
global deviation measure. We consider in detail the construction of such tests
both for stationary and finite point processes and show by two toy examples and
a simulation study for the case of the random labelling hypothesis that the
points (i) and (ii) have great influence on the power of the tests.


title:
Major role of multielectronic K-L inter-shell resonant recombination
  processes in Li- to O-like ions of Ar, Fe, and Kr

abstract:
  Dielectronic and higher-order resonant electron recombination processes
including a K-shell excitation were systematically measured at high resolution
in electron beam ion traps. Storing highly charged Ar, Fe, and Kr ions, the
dependence on atomic number Z of the contribution of these processes to the
total recombination cross section was studied and compared with theoretical
calculations. Large higher-order resonant recombination contributions are
found, especially for systems with 10<Z<36. In some cases, they even surpass
the strength of the dielectronic channel, which was hitherto presumed to be
always the dominant one. These findings have consequences for the modeling of
high-temperatur plasmas. Features attributed to inter-shell quadruelectronic
recombination were also observed. The experimental data obtained for the
He-like to O-like isoelectronic sequences compare well with the results of
advanced relativistic distorted-wave calculations employing multiconfiguration
Dirac-Fock bound state wave functions that include threefold and fourfold
excitations.


title:
A combined experimental and computational study of the pressure
  dependence of the vibrational spectrum of solid picene C_22H_14

abstract:
  We present high-quality optical data and density functional perturbation
theory calculations for the vibrational spectrum of solid picene
(C$_{22}$H$_{14}$) under pressure up to 8 GPa. First-principles calculations
reproduce with a remarkable accuracy the pressure effects on both frequency and
intensities of the phonon peaks experimentally observed . Through a detailed
analysis of the phonon eigenvectors, We use the projection on molecular
eigenmodes to unambiguously fit the experimental spectra, resolving complicated
spectral structures, in a system with hundreds of phonon modes. With these
projections, we can also quantify the loss of molecular character under
pressure. Our results indicate that picene, despite a \sim 20 % compression of
the unit cell, remains substantially a molecular solid up to 8 GPa, with phonon
modes displaying a smooth and uniform hardening with pressure. The Grueneisen
parameter of the 1380 cm^{-1} a_1 Raman peak ($\gamma_p=0.1$) is much lower
than the effective value ($\gamma_d=0.8$) due to K doping. This is an
indication that the phonon softening in K doped samples is mainly due to charge
transfer and electron-phonon coupling.


title: LLAMA: Leveraging Learning to Automatically Manage Algorithms

abstract:
  Algorithm portfolio and selection approaches have achieved remarkable
improvements over single solvers. However, the implementation of such systems
is often highly customised and specific to the problem domain. This makes it
difficult for researchers to explore different techniques for their specific
problems. We present LLAMA, a modular and extensible toolkit implemented as an
R package that facilitates the exploration of a range of different portfolio
techniques on any problem domain. It implements the algorithm selection
approaches most commonly used in the literature and leverages the extensive
library of machine learning algorithms and techniques in R. We describe the
current capabilities and limitations of the toolkit and illustrate its usage on
a set of example SAT problems.


title:
Sharpness versus robustness of the percolation transition in 2D contact
  processes

abstract:
  We study versions of the contact process with three states, and with
infections occurring at a rate depending on the overall infection density.
Motivated by a model described in [17] for vegetation patterns in arid
landscapes, we focus on percolation under invariant measures of such processes.
We prove that the percolation transition is sharp (for one of our models this
requires a reasonable assumption). This is shown to contradict a form of
'robust critical behaviour' with power law cluster size distribution for a
range of parameter values, as suggested in [17].


title:
The irreducible representations of the alternating group which remain
  irreducible in characteristic p

abstract:
  Let p be an odd prime, and A_n the alternating group of degree n. We
determine which ordinary irreducible representations of A_n remain irreducible
in characteristic p, verifying the author's conjecture from [Represent. Theory
14, 601-626]. Given the preparatory work done in [op. cit.], our task is to
determine which self-conjugate partitions label Specht modules for the
symmetric group in characteristic p having exactly two composition factors.
This is accomplished through the use of the Robinson-Brundan-Kleshchev
'i-restriction' functors, together with known results on decomposition numbers
for the symmetric group and additional results on the Mullineux map and
homomorphisms between Specht modules.


title:
ROTUNDE - A Smart Meeting Cinematography Initiative: Tools, Datasets,
  and Benchmarks for Cognitive Interpretation and Control

abstract:
  We construe smart meeting cinematography with a focus on professional
situations such as meetings and seminars, possibly conducted in a distributed
manner across socio-spatially separated groups. The basic objective in smart
meeting cinematography is to interpret professional interactions involving
people, and automatically produce dynamic recordings of discussions, debates,
presentations etc in the presence of multiple communication modalities. Typical
modalities include gestures (e.g., raising one's hand for a question,
applause), voice and interruption, electronic apparatus (e.g., pressing a
button), movement (e.g., standing-up, moving around) etc. ROTUNDE, an instance
of smart meeting cinematography concept, aims to: (a) develop
functionality-driven benchmarks with respect to the interpretation and control
capabilities of human-cinematographers, real-time video editors, surveillance
personnel, and typical human performance in everyday situations; (b) Develop
general tools for the commonsense cognitive interpretation of dynamic scenes
from the viewpoint of visuo-spatial cognition centred perceptual
narrativisation. Particular emphasis is placed on declarative representations
and interfacing mechanisms that seamlessly integrate within large-scale
cognitive (interaction) systems and companion technologies consisting of
diverse AI sub-components. For instance, the envisaged tools would provide
general capabilities for high-level commonsense reasoning about space, events,
actions, change, and interaction.


title: Effective Photon-Photon Interactions in Largely Detuned Optomechanics

abstract:
  We propose to realize effective beam-splitter-like and two-mode-squeezing
photon-photon interactions in a strong coupling optomechanical interface by
exploiting detuned driving lasers. In this interface, the transitions between
the optical system and the mechanical oscillator are suppressed by the large
energy offsets, therefore protecting the photon-photon interactions from
mechanical dissipations. Moreover, the destructive quantum interference between
the eigenmodes of the interface is capable of further reducing the effects of
initial mechanical thermal occupations. The interface can serve as a universal
block for photon state engineering and hybrid quantum networks in
high-temperature thermal bath and without the requirement of cooling the
mechanical oscillator to the ground state.


title: swMATH - a new information service for mathematical software

abstract:
  An information service for mathematical software is presented. Publications
and software are two closely connected facets of mathematical knowledge. This
relation can be used to identify mathematical software and find relevant
information about it. The approach and the state of the art of the information
service are described here.


title: The Jungle Universe

abstract:
  In this paper, we exploit the fact that the dynamics of homogeneous and
isotropic Friedmann-Lemaitre universes is a special case of generalized
Lotka-Volterra system where the competitive species are the barotropic fluids
filling the Universe. Without coupling between those fluids, Lotka-Volterra
formulation offers a pedagogical and simple way to interpret usual
Friedmann-Lemaitre cosmological dynamics. A natural and physical coupling
between cosmological fluids is proposed which preserve the structure of the
dynamical equations. Using the standard tools of Lotka-Volterra dynamics, we
obtain the general Lyapunov function of the system when one of the fluids is
coupled to dark energy. This provides in a rigorous form a generic asymptotic
behavior for cosmic expansion in presence of coupled species, beyond the
standard de Sitter, Einstein-de Sitter and Milne cosmologies. Finally, we
conjecture that chaos can appear for at least four interacting fluids.


title:
Angular dependence of antiferromagnetic order induced by paramagnetism
  in d-wave superconductor

abstract:
  Antiferromagnetic (AFM) order and a spatial order peculiar to
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states, previously indicated in the
quasi two-dimensional d-wave superconductors CeCoIn_5 with strong paramagnetic
pair breaking (PPB) in a magnetic-field parallel to the basal plane, are
considered in the field configurations tilted from the basal plane within an
approach assuming that the wavelength of the FFLO modulation is relatively
long. It is demonstrated that, with increasing the tilt angle, both the AFM and
FFLO orders are gradually suppressed, and that disappearance of the AFM order
in zero temperature limit occurs at a lower angle than that of the FFLO state.
Consequently, a nonmagnetic FFLO-ordered high field SC phase is realized in an
intermediate range of the tilt angle even at low enough temperatures. As the
perpendicular field configuration (${\bf H} \parallel c$) is approached by the
field-tilt, the AFM order in real space is found close to the FFLO nodal planes
in contrast to the high field behavior in ${\bf H} \perp c$ case. Further, in
the field v.s. temperature (H-T) phase diagram, the AFM order reduces, at a
higher angle, to an AFM quantum critical point (QCP) lying at a lower field
than H_{c2}(0) as a consequence of competition between the field dependences of
the nesting condition and of PPB. These features of the AFM order and the
resulting H-T phase diagram strikingly coincide with those seen in a recent NMR
measurement on CeCoIn_5 in tilted field configurations.


title: Magnitudes of V(xb) CKM matrix elements

abstract:
  We review the current status of the absolute values of the CKM matrix
elements V(xb), with particular attention to latest determinations.


title: BeppoSAX and XMM-Newton spectral study of 4U 1735-44

abstract:
  Low-mass X-ray binary systems consist of a neutron star and a main-sequence
companion star. The compact object accretes matter via Roche-lobe overflow,
which leads to an accretion disk. In addition to a broad-band continuum
emission of a thermal component and a Comptonization part, evidence for a broad
iron K{\alpha} line is found in several sources. Some of them show an
asymmetric line profile as well, which could originate from relativistic
effects. To understand the spectral behavior of the system 4U 1735-44, we study
the broad-band spectrum and especially the iron line feature between 6.4 and
6.97 keV. The shape of the line allows one to determine the region where the
line is produced. Together with the continuum models, a geometrical model of
the source can be proposed. Furthermore, the effects of pile-up in the
XMM-Newton observation are investigated. We analyzed data obtained with the
X-ray satellites BeppoSAX and XMM-Newton. The XMM-Newton data were analyzed,
specifically taking into account pile-up effects. With the help of the data of
these two satellites, we performed a detailed spectral study in an energy range
from 0.2-24 keV. During the observations, the source was in the so-called
banana state of an atoll source. Fitting the BeppoSAX data, we found line
features that we were able to model with a reflection model, whereas the
continuum was modeled with a combination of a thermal component and a
Comptonization part. The analysis of the XMM-Newton data gave evidence for a
broad but not asymmetric iron line. We found no broadening or asymmetry of the
line because of pile-up.


title:
Understanding polarization vs. charge dynamics effects in
  ferroelectric-carbon nanotube devices

abstract:
  To optimize the performance of multifunctional carbon nanotube-ferroelectric
devices, it is necessary to understand both the polarization and charge
dynamics effects on their transconductance. Directly comparing ferroelectric
Pb(Zr0.2Ti0.8)O3 and dielectric SrTiO3 field effect transistors, we show that
the two effects strongly compete, with transient charge dynamics initially
masking up to 40% of the ferroelectric field effect. For applications, it is
therefore crucial to maximize the quality of the ferroelectric film and the
interface with the carbon nanotube to take full advantage of the switchable
polarization.


title:
Effect of edge reconstruction and electron-electron interactions on
  quantum transport in graphene nanoribbons

abstract:
  We present numerical studies of conduction in graphene nanoribbons with
reconstructed edges based on the standard tight-binding model of the graphene
and the extended Huckel model of the reconstructed defects. We performed atomic
geometry relaxation of individual defects using density functional theory and
then explicitly calculated the tight-binding parameters used to model electron
transport in graphene with reconstructed edges. The calculated conductances
reveal strong backscattering and electron-hole asymmetry depending on the edge
and defect type. This is related to an additional defect-induced band whose
wave function is poorly matched to the propagating states of the pristine
ribbon. We find a transport gap to open near the Dirac point and to scale
inversely with the ribbon width, similarly to what has been observed in
experiments. We predict the largest transport gap to occur for armchair edges
with Stone-Wales defects, while heptagon and pentagon defects cause about equal
backscattering for electrons and holes, respectively. Choosing the heptagon
defect as an example, we show that although electron interactions in the
Hartree approximation cause accumulation of charge carriers on the defects,
surprisingly, their effect on transport is to reduce carrier backscattering by
the defects and thus to enhance the conductance.


title: Structural Intervention Distance (SID) for Evaluating Causal Graphs

abstract:
  Causal inference relies on the structure of a graph, often a directed acyclic
graph (DAG). Different graphs may result in different causal inference
statements and different intervention distributions. To quantify such
differences, we propose a (pre-) distance between DAGs, the structural
intervention distance (SID). The SID is based on a graphical criterion only and
quantifies the closeness between two DAGs in terms of their corresponding
causal inference statements. It is therefore well-suited for evaluating graphs
that are used for computing interventions. Instead of DAGs it is also possible
to compare CPDAGs, completed partially directed acyclic graphs that represent
Markov equivalence classes. Since it differs significantly from the popular
Structural Hamming Distance (SHD), the SID constitutes a valuable additional
measure. We discuss properties of this distance and provide an efficient
implementation with software code available on the first author's homepage (an
R package is under construction).


title: Field-induced ferromagnetism in one-dimensional tight-binding lattices

abstract:
  We theoretically show the possibility to induce magnetic ordering in
non-magnetic one-dimensional systems of strongly interacting electrons hopping
on a tight-binding lattice. Our analysis is provided within the framework of
the t1-t2 Hubbard Model, assuming non-zero second neighbor hopping rate. It is
shown that a high-frequency electric field can be exploited to induce
artificial ferromagnetism and eventually control
anti-ferromagnetic/ferromagnetic phase transition. Our analysis is validated by
numerical simulations in a low-density system of 2-particles on a lattice with
11 sites.


title: On invertible nonnegative Hamiltonian operator matrices

abstract:
  Some new characterizations of nonnegative Hamiltonian operator matrices are
given. Several necessary and sufficient conditions for an unbounded nonnegative
Hamiltonian operators to be invertible are obtained; so that the main results
in the previously published papers are corollaries of the new theorems. Most of
all we want to stress the method of proof. It is based on the connections
between Pauli operator matrices and nonnegative Hamiltonian matrices.


title:
Two-dimensional Numerical Study for Rayleigh-Taylor and
  Richtmyer-Meshkov Instabilities in Relativistic Jets

abstract:
  We study the stability of a non-rotating single-component jet using
two-dimensional special relativistic hydrodynamic simulations. By assuming
translational invariance along the jet axis, we exclude the destabilization
effect by Kelvin-Helmholtz mode. The nonlinear evolution of the transverse
structure of the jet with a normal jet velocity is highlighted. An intriguing
finding in our study is that Rayleigh-Taylor and Richtmeier-Meshkov type
instabilities can destroy cylindrical jet configuration as a result of
spontaneously induced radial oscillating motion. This is powered by in-situ
energy conversion between the thermal and bulk kinetic energies. The effective
inertia ratio of the jet to the surrounding medium $\eta$ determines a
threshold for the onset of instabilities. The condition $\eta < 1$ should be
satisfied for the transverse structure of the jet being persisted.


title:
Saari's Conjecture and Variational Minimal Solutions for $N$-Body
  Problems

abstract:
  In this paper, we will prove Saari's conjecture in a particular case by using
a arithmetic fact, and then, apply it to prove that for any given positive
masses, the variational minimal solutions of the N-body problem in
${\mathbb{R}}^2$ are precisely a relative equilibrium solution whose
configuration minimizes the function $IU^2$ in ${{\mathbb{R}}}^2$.


title:
Spectral and transport properties of time-periodic PT-symmetric
  tight-binding lattices

abstract:
  We investigate the spectral properties and dynamical features of a
time-periodic PT-symmetric Hamiltonian on a one-dimensional tight-binding
lattice. It is shown that a high-frequency modulation can drive the system
under a transition between the broken-PT and the unbroken-PT phases. The
time-periodic modulation in the unbroken-PT regime results in a significant
broadening of the quasi-energy spectrum, leading to a hyper-ballistic transport
regime. Also, near the PT-symmetry breaking the dispersion curve of the lattice
band becomes linear, with a strong reduction of quantum wave packet spreading.


title: Completeness of the isomorphism problem for separable C*-algebras

abstract:
  We prove that the isomorphism problem for separable nuclear C*-algebras is
complete in the class of orbit equivalence relations. In fact, already the
isomorphism of simple, separable AI C*-algebras is a complete orbit equivalence
relation. This means that any isomorphism problem arsing from a continuous
action of a separable completely metrizable group can be reduced to the
isomorphism of simple, separable AI C*-algebras. As a consequence, we get that
the isomorphism problems for separable nuclear C*-algebras and for separable
C*-algebras have the same complexity. This answers questions posed by Elliott,
Farah, Paulsen, Rosendal, Toms and T\"ornquist.


title: Kinetic Simulations of Plasmoid Chain Dynamics

abstract:
  The dynamics of a plasmoid chain is studied with three dimensional
Particle-in-Cell simulations. The evolution of the system with and without a
uniform guide field, whose strength is 1/3 the asymptotic magnetic field, is
investigated. The plasmoid chain forms by spontaneous magnetic reconnection:
the tearing instability rapidly disrupts the initial current sheet generating
several small-scale plasmoids, that rapidly grow in size coalescing and
kinking. The plasmoid kink is mainly driven by the coalescence process. It is
found that the presence of guide field strongly influences the evolution of the
plasmoid chain. Without a guide field, a main reconnection site dominates and
smaller reconnection regions are included in larger ones, leading to an
hierarchical structure of the plasmoid-dominated current sheet. On the contrary
in presence of a guide field, plasmoids have approximately the same size and
the hierarchical structure does not emerge, a strong core magnetic field
develops in the center of the plasmoid in the direction of the existing guide
field, and bump-on-tail instability, leading to the formation of electron
holes, is detected in proximity of the plasmoids.


title:
Effects of Stratification and Flows on P1/P2 Ratios and Anti-Node Shifts
  within Closed Loop Structures

abstract:
  The solar atmosphere is a dynamic environment, constantly evolving to form a
wide range of magnetically dominated structures (coronal loops, spicules,
prominences, etc.) which cover a significant percentage of the surface at any
one time. Oscillations and waves in many of these structures are now widely
observed and have led to the new analytic technique of solar
magneto-seismology, where inferences of the background conditions of the plasma
can be deduced by studying magneto-hydrodynamic (MHD) waves. Here, we
generalise a novel magneto-seismological method designed to infer the density
distribution of a bounded plasma structure from the relationship of its
fundamental and first harmonics. Observations of the solar atmosphere have
emphatically shown that stratification, leading to complex density profiles
within plasma structures, is common thereby rendering this work instantly
accessible to solar physics. We show, in a dynamic waveguide, how the period
ratio differs from the idealised harmonic ratios prevalent in homogeneous
structures. These ratios show strong agreement with recent observational work.
Next, anti-node shifts are also analysed. Using typical scaling parameters for
bulk flows within atmospheric waveguides, e.g., coronal loops, it is found that
significant anti-node shifts can be predicted, even to the order of 10 Mm. It
would be highly encouraged to design specific observations to confirm the
predicted anti-node shifts and apply the developed theory of solar
magneto-seismology to gain more accurate waveguide diagnostics of the solar
atmosphere.


title: Fast Dual Variational Inference for Non-Conjugate LGMs

abstract:
  Latent Gaussian models (LGMs) are widely used in statistics and machine
learning. Bayesian inference in non-conjugate LGMs is difficult due to
intractable integrals involving the Gaussian prior and non-conjugate
likelihoods. Algorithms based on variational Gaussian (VG) approximations are
widely employed since they strike a favorable balance between accuracy,
generality, speed, and ease of use. However, the structure of the optimization
problems associated with these approximations remains poorly understood, and
standard solvers take too long to converge. We derive a novel dual variational
inference approach that exploits the convexity property of the VG
approximations. We obtain an algorithm that solves a convex optimization
problem, reduces the number of variational parameters, and converges much
faster than previous methods. Using real-world data, we demonstrate these
advantages on a variety of LGMs, including Gaussian process classification, and
latent Gaussian Markov random fields.


title:
Halo Models of Large Scale Structure and Reliability of Cosmological
  N-Body Simulations

abstract:
  Halo models of the large scale structure of the Universe are critically
examined, focusing on the definition of halos as smooth distributions of cold
dark matter. This definition is essentially based on the results of
cosmological N-body simulations. By a careful analysis of the standard
assumptions of halo models and N-body simulations and by taking into account
previous studies of self-similarity of the cosmic web structure, we conclude
that N-body cosmological simulations are not fully reliable in the range of
scales where halos appear. Therefore, to have a consistent definition of halos,
it is necessary either to define them as entities of arbitrary size with a
grainy rather than smooth structure or to define their size in terms of
small-scale baryonic physics.


title: Analytical Results for a Small Multiple-layer Parking System

abstract:
  in this article a multilayer parking system of size n=3 is studied. We prove
that the asymptotic limit of the particle density in the center approaches a
maximum of 1/2 in higher layers. This means a significant increase of capacity
compared to the first layer where this value is 1/3. This is remarkable because
the process is solely driven by randomness. We conjecture that the results
applies to all finite parking systems with n larger or equal than 2.


title: Optimal control of singular Fourier multipliers by maximal operators

abstract:
  We control a broad class of singular (or "rough") Fourier multipliers by
geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$
norm inequalities. The multipliers involved are related to those of
Coifman--Rubio de Francia--Semmes, satisfying certain weak Marcinkiewicz-type
conditions that permit highly oscillatory factors of the form
$e^{i|\xi|^\alpha}$ for both $\alpha$ positive and negative. The maximal
functions that arise are of some independent interest, involving fractional
averages associated with tangential approach regions (related to those of Nagel
and Stein), and more novel "improper fractional averages" associated with
"escape" regions. Some applications are given to the theory of $L^p-L^q$
multipliers, oscillatory integrals and dispersive PDE, along with natural
extensions to higher dimensions.


title: Remarks on Uniformly Symmetrically Continuous Functions

abstract:
  We give the definition of uniform symmetric continuity for functions defined
on a nonempty subset of the real line. Then we investigate the properties of
uniformly symmetrically continuous functions and compare them with those of
symmetrically continuous functions and uniformly continuous functions. We
obtain some characterizations of uniformly symmetrically continuous functions.
Several examples are also given.


title: Generic Correlation Increases Noncoherent MIMO Capacity

abstract:
  We study the high-SNR capacity of MIMO Rayleigh block-fading channels in the
noncoherent setting where neither transmitter nor receiver has a priori channel
state information. We show that when the number of receive antennas is
sufficiently large and the temporal correlation within each block is "generic"
(in the sense used in the interference-alignment literature), the capacity
pre-log is given by T(1-1/N) for T<N, where T denotes the number of transmit
antennas and N denotes the block length. A comparison with the widely used
constant block-fading channel (where the fading is constant within each block)
shows that for a large block length, generic correlation increases the capacity
pre-log by a factor of about four.


title:
Quantum gravity from the point of view of locally covariant quantum
  field theory

abstract:
  We construct perturbative quantum gravity in a generally covariant way. In
particular our construction is background independent. It is based on the
locally covariant approach to quantum field theory and the renormalized
Batalin-Vilkovisky formalism. We do not touch the problem of
nonrenormalizability and interpret the theory as an effective theory at large
length scales.


title: Valid post-selection inference

abstract:
  It is common practice in statistical data analysis to perform data-driven
variable selection and derive statistical inference from the resulting model.
Such inference enjoys none of the guarantees that classical statistical theory
provides for tests and confidence intervals when the model has been chosen a
priori. We propose to produce valid ``post-selection inference'' by reducing
the problem to one of simultaneous inference and hence suitably widening
conventional confidence and retention intervals. Simultaneity is required for
all linear functions that arise as coefficient estimates in all submodels. By
purchasing ``simultaneity insurance'' for all possible submodels, the resulting
post-selection inference is rendered universally valid under all possible model
selection procedures. This inference is therefore generally conservative for
particular selection procedures, but it is always less conservative than full
Scheffe protection. Importantly it does not depend on the truth of the selected
submodel, and hence it produces valid inference even in wrong models. We
describe the structure of the simultaneous inference problem and give some
asymptotic results.


title:
Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT
  proposal

abstract:
  The hidden Kerr/CFT proposal implies that the massless scalar wave equation
in the near-region and low-frequency limit respects a hidden
SL(2,R)$\times$SL(2,R) invariance in the Kerr black hole spacetime. We may use
this symmetry to determine quasinormal frequencies (QNFs) of the massless
scalar wave propagating around the Kerr black hole algebraically. It is shown
that QNFs obtained using the hidden conformal symmetry near the horizon
correspond approximately to not only those of scalar perturbation around the
near-horizon region of a nearly extremal Kerr (NEK) black hole, but also those
of non-equatorial scalar modes around the NEK black hole. This indicates that
the hidden Kerr/CFT proposal could determine quasinormal modes and frequencies
of the massless scalar wave around the NEK (rapidly rotating) black hole
approximately.


title:
La variante infinit\'esimale de la formule des traces de Jacquet-Rallis
  pour les groupes unitaires

abstract:
  We establish an infinitesimal version of the Jacquet-Rallis trace formula for
unitary groups. Our formula is obtained by integrating a truncated kernel \`a
la Arthur. It has a geometric side which is a sum of distributions
$J_{\mathfrak{o}}$ indexed by classes of elements of the Lie algebra of
$U(n+1)$ stable by $U(n)$-conjugation as well as the "spectral side" consisting
of the Fourier transforms of the aforementioned distributions. We prove that
the distributions $J_{\mathfrak{o}}$ are invariant and depend only on the
choice of the Haar measure on $U(n)(\mathbb{A})$. For regular semi-simple
classes $\mathfrak{o}$, $J_{\mathfrak{o}}$ is a relative orbital integral of
Jacquet-Rallis. For classes $\mathfrak{o}$ called relatively regular
semi-simple, we express $J_{\mathfrak{o}}$ in terms of relative orbital
integrals regularised by means of z\^eta functions.


title: An alternative proof of a result of Takaoka

abstract:
  In Karatzas and Kardaras's paper on semimartingale financial models, it is
proved that the NUPBR condition is a property of the local characteristic of
the asset process alone. In Takaoka's paper on NUPBR, it is proved that the
NUPBR condition is equivalent to the existence of a simga-martingale deflator.
However, Takaoka's paper founds its proof on Delbaen and Schachermayer's
fundamental asset pricing theorem, i.e. the NFLVR condition, which is not a
pure property of the local characteristic of the asset process. In this paper
we give an alternative proof of the result of Takaoka, which makes use only the
properties of the local characteristic of the asset process.


title:
Reactivity monitoring using the area method for the subcritic al VENUS-F
  core within the framework of the FREYA Project

abstract:
  Accelerator-Driven Systems (ADS) could be employed to incinerate minor
actinides and so partly contribute to answer the problem of nuclear waste
management. An ADS consists of the coupling of a subcritical fast reactor to a
particle accelerator via a heavy material spallation target. The on-line
reactivity monitoring of such an ADS is a serious issue regarding its safety.
In order to study the methodology of this monitoring, zero-power
experimentswere undertaken at the GUINEVERE facility within the framework of
the FP6-IP-EUROTRANS programme. Such experiments have been under completion
within the FREYA FP7 project. The GUINEVERE facility is hosted at the SCK-CEN
site in Mol (Belgium). It couples the VENUS-F subcritical fast core with the
GENEPI-3C accelerator. The latter delivers a beam of deuterons, which are
converted into 14-MeV neutrons via fusion reactions on a tritiated target. This
paper presents one of the investigated methods for ADS on-line reactivity
monitoring which has to be validated in the program of the FREYA project. It
describes the results obtained when Pulsed Neutron Source experiments are
analysed using the so called Area Method, in order to estimate the reactivity
of a few sub-critical configurations of the VENUS-F reactor, around keff= 0.96.
First the GUINEVERE facility is described. Then, following general
considerations on the Area method, the results of its application to the
neutron population time decrease spectra measured after a pulse by several
fission chambers spread out over the whole reactor are discussed. Finally the
reactivity values extracted are compared to the static reactivity values
obtained using the Modified Source Multiplication (MSM) method.


title: A short note on Jacobsthal's function

abstract:
  The function g(n) represents the smallest number Q such that every sequence
of Q consecutive integers contains an integer coprime to n. We give a new and
explicit upper bound on this function.


title: The first spectroscopically identified L dwarf in Praesepe

abstract:
  We have obtained a low-resolution optical spectrum for one of the faintest
cluster member candidates in Praesepe with the Optical System for Imaging and
low Resolution Integrated Spectroscopy mounted on the 10.4m Gran Telescopio de
Canarias. We confirm spectroscopically the first L dwarf member in Praesepe,
UGCS J084510.66+214817.1. We derived an optical spectral type of L0.3+/-0.4 and
estimated its effective temperature to Teff=2279+/-371 K and a mass of
71.1+/-23.0M_Jup, according to state-of-the-art models, placing it at the
hydrogen-burning boundary. We measured the equivalent width of the
gravity-sensitive sodium doublet at 8182/8194 A, which adds credit to the
membership of this new L dwarf to Praesepe. We also derived a probability of
~20.5% that our candidate would be a field L0 dwarf. We conclude that this
object is likely to be a true member of Praesepe, with evidence of being a
binary system.


title: Bayesian Differential Privacy through Posterior Sampling

abstract:
  Differential privacy formalises privacy-preserving mechanisms that provide
access to a database. We pose the question of whether Bayesian inference itself
can be used directly to provide private access to data, with no modification.
The answer is affirmative: under certain conditions on the prior, sampling from
the posterior distribution can be used to achieve a desired level of privacy
and utility. To do so, we generalise differential privacy to arbitrary dataset
metrics, outcome spaces and distribution families. This allows us to also deal
with non-i.i.d or non-tabular datasets. We prove bounds on the sensitivity of
the posterior to the data, which gives a measure of robustness. We also show
how to use posterior sampling to provide differentially private responses to
queries, within a decision-theoretic framework. Finally, we provide bounds on
the utility and on the distinguishability of datasets. The latter are
complemented by a novel use of Le Cam's method to obtain lower bounds. All our
general results hold for arbitrary database metrics, including those for the
common definition of differential privacy. For specific choices of the metric,
we give a number of examples satisfying our assumptions.


title: Collective baryon decay and gravitational collapse

abstract:
  While it is widely believed that the gravitational collapse of a sufficiently
large mass will lead to a density singularity and an event horizon, we propose
that this never happens when quantum effects are taken into account. In
particular, we propose that when the conditions become ripe for a trapped
surface to form, a quantum critical surface sweeps over the collapsing body,
transforming the nucleons in the collapsing matter into a lepton/photon gas
together with a positive vacuum energy. This will happen regardless of the
matter density at the time a trapped surface starts to form, and as a result we
predict that at least in all cases of gravitational collapse involving ordinary
matter, a large fraction of the rest mass of the collapsing matter will be
converted into a burst of neutrinos, and {\gamma}-rays. We predict that the
peak luminosity of these bursts is only weakly dependent on the mass of the
collapsing object, and is on the order of ({\epsilon}_q/m_Pc^2)^1/4c^5/G, where
{\epsilon}_q is the mean energy of a nucleon parton and m_P is the Planck mass.
The duration of the bursts will depend the mass of the collapsing objects; in
the case of stellar core collapse we predict that the duration of both the
neutrino and {\gamma}-ray bursts will be on the order of 10 seconds.


title:
Software Process Models and Analysis on Failure of Software Development
  Projects

abstract:
  The software process model consists of a set of activities undertaken to
design, develop and maintain software systems. A variety of software process
models have been designed to structure, describe and prescribe the software
development process. The software process models play a very important role in
software development, so it forms the core of the software product. Software
project failure is often devastating to an organization. Schedule slips, buggy
releases and missing features can mean the end of the project or even financial
ruin for a company. Oddly, there is disagreement over what it means for a
project to fail. In this paper, discussion is done on current process models
and analysis on failure of software development, which shows the need of new
research.


title: Reachability in Higher-Order-Counters

abstract:
  Higher-order counter automata (\HOCS) can be either seen as a restriction of
higher-order pushdown automata (\HOPS) to a unary stack alphabet, or as an
extension of counter automata to higher levels. We distinguish two principal
kinds of \HOCS: those that can test whether the topmost counter value is zero
and those which cannot.
  We show that control-state reachability for level $k$ \HOCS with $0$-test is
complete for \mbox{$(k-2)$}-fold exponential space; leaving out the $0$-test
leads to completeness for \mbox{$(k-2)$}-fold exponential time. Restricting
\HOCS (without $0$-test) to level $2$, we prove that global (forward or
backward) reachability analysis is $\PTIME$-complete. This enhances the known
result for pushdown systems which are subsumed by level $2$ \HOCS without
$0$-test.
  We transfer our results to the formal language setting. Assuming that $\PTIME
\subsetneq \PSPACE \subsetneq \mathbf{EXPTIME}$, we apply proof ideas of
Engelfriet and conclude that the hierarchies of languages of \HOPS and of \HOCS
form strictly interleaving hierarchies. Interestingly, Engelfriet's
constructions also allow to conclude immediately that the hierarchy of
collapsible pushdown languages is strict level-by-level due to the existing
complexity results for reachability on collapsible pushdown graphs. This
answers an open question independently asked by Parys and by Kobayashi.


title:
Lagrangian Formulation of a Magnetostatic Field in the Presence of a
  Minimal Length Scale Based on the Kempf Algebra

abstract:
  In the 1990s, Kempf and his collaborators Mangano and Mann introduced a
$D$-dimensional $(\beta,\beta')$-two-parameter deformed Heisenberg algebra
which leads to an isotropic minimal length $(\triangle
X^{i})_{min}=\hbar\sqrt{D\beta+\beta'}\;,\forall i\in \{1,2, \cdots,D\}$. In
this work, the Lagrangian formulation of a magnetostatic field in three spatial
dimensions $(D=3)$ described by Kempf algebra is presented in the special case
of $\beta'=2\beta$ up to the first order over $\beta$. We show that at the
classical level there is a similarity between magnetostatics in the presence of
a minimal length scale (modified magnetostatics) and the magnetostatic sector
of the Abelian Lee-Wick model in three spatial dimensions. The integral form of
Ampere's law and the energy density of a magnetostatic field in the modified
magnetostatics are obtained. Also, the Biot-Savart law in the modified
magnetostatics is found. By studying the effect of minimal length corrections
to the gyromagnetic moment of the muon, we conclude that the upper bound on the
isotropic minimal length scale in three spatial dimensions is
$4.42\times10^{-19}m$. The relationship between magnetostatics with a minimal
length and the Gaete-Spallucci non-local magnetostatics (J. Phys. A: Math.
Theor. \textbf{45}, 065401 (2012)) is investigated.


title:
From AdS to Schr\"odinger/Lifshitz dual space-times without or with
  hyperscaling violation

abstract:
  It is observed that the (intersecting) branes of M/string theory, which are
known to give AdS geometry (directly or upto a conformal transformation) in the
near horizon limit, do also lead to Schr\" odinger/Lifshitz dual space-times
(without or with hyperscaling violation) upon using appropriate solution
generating transformation and dimensional reduction. We show that the dynamical
exponents of the Schr\" odinger and the Lifshitz space-times obtained in this
way always add upto 2. We illustrate this by several examples, including M2-,
M5-branes of M-theory and D$(p+1)$-branes ($p\neq 4$, since in this case the
near horizon limit does not give AdS geometry) of string theory as well as many
of their intersecting solutions. The Schr\" odinger space-time can be obtained
by the standard wave generating technique along one of the brane directions
(for single brane) or one of the common brane directions (for intersecting
branes) and then interchanging the light-cone coordinates by double Wick
rotations, whereas, the Lifshitz space-time can be obtained by dimensionally
reducing (for M-theory) along the wave direction or taking T-duality (for
string theory) along the same direction. We thus obtain Schr\" odinger/Lifshitz
dual space-times without or with hyperscaling violation from the same M/string
theory solutions and they preserve some fraction of the supersymmetry.


title: Diffraction and ultraperipheral collisions at ALICE

abstract:
  The ALICE experiment measured J/psi photoproduction in Pb+Pb ultraperipheral
collisions at sqrt(s_NN) = 2.76 TeV at forward and central rapidity. The
coherent J/psi cross section is found to be in good agreement with those models
which include nuclear gluon shadowing consistent with EPS09 parametrization.
Results on rho_0 photoproduction in ultra-peripheral Pb+Pb collisions are also
briefly discussed. Studies on exclusive J/psi in p+Pb and on diffraction in pp
collisions are mentioned.