title:
Fusion hierarchies, T-systems and Y-systems of logarithmic minimal
  models

abstract:
  A Temperley-Lieb (TL) loop model is a Yang-Baxter integrable lattice model
with nonlocal degrees of freedom. On a strip of width N, the evolution operator
is the double-row transfer tangle D(u), an element of the TL algebra TL_N(beta)
with loop fugacity beta=2cos(lambda). Similarly on a cylinder, the single-row
transfer tangle T(u) is an element of the enlarged periodic TL algebra. The
logarithmic minimal models LM(p,p') comprise a subfamily of the TL loop models
for which the crossing parameter lambda=(p'-p)pi/p' is parameterised by coprime
integers 0<p<p'. For these special values, additional symmetries allow for
particular degeneracies in the spectra that account for the logarithmic nature
of these theories. For critical dense polymers LM(1,2), D(u) and T(u) are known
to satisfy inversion identities that allow us to obtain exact eigenvalues in
any representation and for all system sizes N. The generalisation for p'>2
takes the form of functional relations for D(u) and T(u) of polynomial degree
p'. These derive from fusion hierarchies of commuting transfer tangles
D^{m,n}(u) and T^{m,n}(u) where D(u)=D^{1,1}(u) and T(u)=T^{1,1}(u). The fused
transfer tangles are constructed from (m,n)-fused face operators involving
Wenzl-Jones projectors P_k on k=m or k=n nodes. Some projectors P_k are
singular for k>p'-1, but we argue that D^{m,n}(u) and T^{m,n}(u) are well
defined for all m,n. For generic lambda, we derive the fusion hierarchies and
the associated T- and Y-systems. For the logarithmic theories, the closure of
the fusion hierarchies at n=p' translates into functional relations of
polynomial degree p' for D^{m,1}(u) and T^{m,1}(u). We also derive the closure
of the Y-systems for the logarithmic theories. The T- and Y-systems are the key
to exact integrability and we observe that the underlying structure of these
functional equations relate to Dynkin diagrams of affine Lie algebras.

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


title: The representation theory of generalized hyperoctahedral groups

abstract:
  We give an explicit decomposition of $\hbox{Ind}(1)_{B_n}^{S_{2n}}$,
following Barbasch and Vogan [1]. We define two natural generalizations of
$B_n$, and extend the proof in [1] to recursively compute these decompositions.
Although the decompositions do not appear to follow a simple pattern, we prove
enough of their structure to show that they are almost never multiplicity-free.


title:
On the necessity of composition-dependent low-temperature opacity in
  metal-poor AGB stars

abstract:
  The vital importance of composition-dependent low-temperature opacity in
low-mass (M < 3Msun) asymptotic giant branch (AGB) stellar models of
metallicity Z > 0.001 has recently been demonstrated (e.g. Marigo 2002; Ventura
& Marigo 2010). Its significance to more metal-poor, intermediate mass (M >
2.5Msun) models has yet to be investigated. We show that its inclusion in
lower-metallicity models ([Fe/H] < -2) is essential, and that there exists no
threshold metallicity below which composition-dependent molecular opacity may
be neglected. We find it to be crucial in all intermediate-mass models
investigated ([Fe/H] < -2 and 2.5 < M/Msun < 5), because of the evolution of
the surface chemistry, including the orders of magnitude increase in the
abundance of molecule-forming species. Its effect on these models mirrors that
previously reported for higher-metallicity models - increase in radius,
decrease in Teff, faster mass loss, shorter thermally pulsing AGB lifetime,
reduced enrichment in third dredge-up products (by a factor of three to ten),
and an increase in the mass limit for hot bottom burning. We show that the
evolution of low-metallicity models with composition-dependent low-temperature
opacity is relatively independent of initial metal abundance because its
contribution to the opacity is far outweighed by changes due to dredge-up. Our
results imply a significant reduction in the expected number of
nitrogen-enhanced metal-poor stars, which may help explain their observed
paucity. We note that these findings are partially a product of the
macrophysics adopted in our models, in particular the Vassiliadis & Wood (1993)
mass loss rate which is strongly dependent on radius.


title:
Thermoluminescence measurements of neutron streaming through JET Torus
  Hall ducts

abstract:
  Thermoluminescence detectors (TLD) were used for dose measurements at JET.
Several hundreds of LiF detectors of various types, standard LiF:Mg,Ti and
highly sensitive LiF:Mg,Cu,P were produced. LiF detectors consisting of natural
lithium are sensitive to slow neutrons, their response to neutrons being
enhanced by 6Li-enriched lithium or suppressed by using lithium consisting
entirely of 7Li. Pairs of 6LiF/7LiF detectors allow distinguishing between
neutron/non-neutron components of a radiation field. For detection of neutrons
of higher energy, polyethylene (PE-300) moderators were used. TLDs, located in
the centre of cylindrical moderators, were installed at eleven positions in the
JET hall and the hall labyrinth in July 2012, and exposure took place during
the last two weeks of the experimental campaign. Measurements of the gamma dose
were obtained for all positions over a range of about five orders of magnitude
variation. As the TLDs were also calibrated in a thermal neutron field, the
neutron fluence at the experimental position could be derived. The experimental
results are compared with calculations using the MCNP code. The results confirm
that the TLD technology can be usefully applied to measurements of neutron
streaming through JET Torus Hall ducts.


title:
NNLO QCD corrections to Higgs pair production via vector boson fusion at
  hadron colliders

abstract:
  The measurement of the Higgs pair production via vector boson fusion can be
used to test the trilinear Higgs self-coupling and the $VVHH$ $(V=Z,W)$ quartic
gauge interactions. In this paper we present the calculations of the
next-to-next-to-leading-order QCD corrections to the SM Higgs boson pair
production via vector boson fusion at hadron colliders with the center-of-mass
energy of $14$, $33$, and $100 {\rm TeV}$ by using the structure function
approach, and study the residual uncertainties from the
factorization/renormalization scale, parton distribution functions and
$\alpha_s$ on the total cross section. We also provide the distributions of
transverse momenta, rapidities, invariant mass and azimuthal angle separations
of final Higgs bosons. We observe a considerable quantitative reduction in the
scale uncertainty due to the next-to-next-to-leading-order QCD corrections, and
find that the total cross section is sensitive to the trilinear Higgs
self-coupling.


title:
Transversal instability for the thermodiffusive reaction-diffusion
  system

abstract:
  The propagation of unstable interfaces is at the origin of remarkable
patterns that are observed in various areas of science as chemical reactions,
phase transitions, growth of bacterial colonies. Since a scalar equation
generates usually stable waves, the simplest mathematical description relies on
two by two reaction-diffusion systems. Our interest is the extension of the
Fisher/KPP equation to a two species reaction which represents reactant
concentration and temperature when used for flame propagation, bacterial
population and nutrient concentration when used in biology. We study in which
circumstances instabilities can occur and in particular the effect of
dimension. It is observed numerically that spherical waves can be unstable
depending on the coefficients. A simpler mathematical framework is to study
transversal instability, that means a one dimensional wave propagating in two
space dimensions. Then, explicit analytical formulas give explicitely the range
of paramaters for instability.


title: On the Higgs-like Quintessence for Dark Energy

abstract:
  We propose a dynamical (quintessence) model of dark energy in the current
universe with a renormalizable (Higgs-like) scalar potential. We prove the
viability of our model (after fine tuning) for the certain range of the average
scalar curvature values, and study the cosmological signatures distinguishing
our model from the standard description of dark energy in terms of a
cosmological constant.


title:
Statistical isotropy violation in WMAP CMB maps resulting from
  non-circular beams

abstract:
  Statistical isotropy (SI) of Cosmic Microwave Background (CMB) fluctuations
is a key observational test to validate the cosmological principle underlying
the standard model of cosmology. While a detection of SI violation would have
immense cosmological ramification, it is important to recognise their possible
origin in systematic effects of observations. WMAP seven year (WMAP-7) release
claimed significant deviation from SI in the bipolar spherical harmonic
(BipoSH) coefficients $A_{ll}^{20}$ and $A_{l-2l}^{20}$. Here we present the
first explicit reproduction of the measurements reported in WMAP-7, confirming
that beam systematics alone can completely account for the measured SI
violation. The possibility of such a systematic origin was alluded to in WMAP-7
paper itself and other authors but not as explicitly so as to account for it
accurately. We simulate CMB maps using the actual WMAP non-circular beams and
scanning strategy. Our estimated BipoSH spectra from these maps match the
WMAP-7 results very well. It is also evident that only a very careful and
adequately detailed modelling, as carried out here, can conclusively establish
that the entire signal arises from non-circular beam effect. This is important
since cosmic SI violation signals are expected to be subtle and dismissing a
large SI violation signal as observational artefact based on simplistic
plausibility arguments run the serious risk of "throwing the baby out with the
bathwater".


title: Focusing Testing by Using Inspection and Product Metrics

abstract:
  A well-known approach for identifying defect-prone parts of software in order
to focus testing is to use different kinds of product metrics such as size or
complexity. Although this approach has been evaluated in many contexts, the
question remains if there are further opportunities to improve test focusing.
One idea is to identify other types of information that may indicate the
location of defect-prone software parts. Data from software inspections, in
particular, appear to be promising. This kind of data might already lead to
software parts that have inherent difficulties or programming challenges, and
in consequence might be defect-prone. This article first explains how
inspection and product metrics can be used to focus testing activities. Second,
we compare selected product and inspection metrics commonly used to predict
defect-prone parts (e.g., size and complexity metrics, inspection defect
content metrics, and defect density metrics). Based on initial experience from
two case studies performed in different environments, the suitability of
different metrics for predicting defect-prone parts is illustrated. The studies
revealed that inspection defect data seems to be a suitable predictor, and a
combination of certain inspection and product metrics led to the best
prioritizations in our contexts. In addition, qualitative experience is
presented, which substantiates the expected benefit of using inspection results
to optimize testing.


title: A Simplified Game for Resolution of Singularities

abstract:
  We will describe a combinatorial game that models the problem of resolution
of singularities of algebraic varieties over a field of characteristic zero. By
giving a winning strategy for this game, we give another proof of the existence
of resolution.


title: Algebraic connections on projective modules with prescribed curvature

abstract:
  In this paper we generalize classical results on Lie algebras and universal
enveloping algebras of Lie algebras to Lie-Rinehart algebras. We define for any
Lie-Rinehart algebra $L$ and any cocycle $f$ in $Z^2(L,B)$, a universal
enveloping algebra $U(B,L,f)$ with the property that the category of left
modules on $U(B,L,f)$ is equivalent to the category of modules with an
$L$-connection where the curvature has "type $f$". A connection of curvature
"type $f$" is a special case of a non-flat connection. We also study
deformations of filtered algebras and prove a relationship between the
deformation groupoid $A(\operatorname{Sym}_B^*(L))$ of the Lie-Rinehart algebra
$L$ and $H^2(L,B)$. We also give an explicit realization of the category of
$L$-connections as a category of left modules on an associative ring $U(L)$. We
use the associative ring $U(L)$ to give a definition of cohomology and homology
of arbitrary $L$-Connections. In the construction of the ring $U(L)$ we
implicitly introduce the notion "D-Lie algebra" for the first time.


title: Metastability limit for the nucleation of NaCl crystals in confinement

abstract:
  We study the spontaneous nucleation and growth of sodium chloride crystals
induced by controlled evaporation in confined geometries (microcapillaries)
spanning several orders of magnitude in volume. In all experiments, the
nucleation happens reproducibly at a very high supersaturation S~1.6 and is
independent of the size, shape and surface properties of the microcapillary. We
show from classical nucleation theory that this is expected: S~1.6 corresponds
to the point where nucleation first becomes observable on experimental time
scales. A consequence of the high supersaturations reached at the onset of
nucleation is the very rapid growth of a single skeletal (Hopper) crystal.
Experiments on porous media reveal also the formation of Hopper crystals in the
entrapped liquid pockets in the porous network and consequently underline the
fact that sodium chloride can easily reach high supersaturations, in spite of
what is commonly assumed for this salt.


title:
Non-perturbative Analysis of Various Mass Generation by Gluonic Dressing
  Effect with the Schwinger-Dyson Formalism in QCD

abstract:
  As a topic of "quantum color dynamics", we study various mass generation of
colored particles and gluonic dressing effect in a non-perturbative manner,
using the Schwinger-Dyson (SD) formalism in (scalar) QCD. First, we review
dynamical quark-mass generation in QCD in the SD approach as a typical
fermion-mass generation via spontaneous chiral-symmetry breaking. Second, using
the SD formalism for scalar QCD, we investigate the scalar diquark, a
bound-state-like object of two quarks, and its mass generation, which is
clearly non-chiral-origin. Here, the scalar diquark is treated as an extended
colored scalar field, like a meson in effective hadron models, and its
effective size $R$ is introduced as a form factor. As a diagrammatical
difference, the SD equation for the scalar diquark has an additional 4-point
interaction term, in comparison with the single quark case. The diquark size
$R$ is taken to be smaller than a hadron, $R\sim 1$ fm, and larger than a
constituent quark, $R\sim 0.3$ fm. We find that the compact diquark with
$R\simeq 0.3$ fm has a large effective mass of about 900 MeV, and therefore
such a compact diquark is not acceptable in effective models for hadrons. We
also consider the artificial removal of 3- and 4-point interaction,
respectively, to see the role of each term, and find that the 4-point
interaction plays the dominant role of the diquark self-energy. From the above
two different cases, quarks and diquarks, we guess that the mass generation of
colored particles is a general result of non-perturbative gluonic dressing
effect.


title: Unconventional quantum criticality in the kicked rotor

abstract:
  The quantum kicked rotor (QKR) driven by $d$ incommensurate frequencies
realizes the universality class of $d$-dimensional disordered metals. For
$d>3$, the system exhibits an Anderson metal-insulator transition which has
been observed within the framework of an atom optics realization. However, the
absence of genuine randomness in the QKR reflects in critical phenomena beyond
those of the Anderson universality class. Specifically, the system shows strong
sensitivity to the algebraic properties of its effective Planck constant
$\tilde h \equiv 4\pi /q$. For integer $q$, the system may be in a globally
integrable state, in a `super-metallic' configuration characterized by
diverging response coefficients, Anderson localized, metallic, or exhibit
transitions between these phases. We present numerical data for different
$q$-values and effective dimensionalities, with the focus being on parameter
configurations which may be accessible to experimental investigations.


title: Van der Corput inequalities for Bessel functions

abstract:
  In this note we offer some log-concavity properties of certain functions
related to Bessel functions of the first kind and modified Bessel functions of
the first and second kind, by solving partially a recent conjecture on the
log-convexity/log-concavity properties for modified Bessel functions of the
first kind and their derivatives. Moreover, we give an application of the
mentioned results by extending two inequalities of van der Corput to Bessel and
modified Bessel functions of the first kind. Similar inequalities are proved
also for modified Bessel functions of the second kind, as well as for
log-concave probability density functions.


title:
Optical fiber Sagnac interferometer for sensing scalar directional
  refraction: application to magnetochiral birefringence

abstract:
  We present a set-up dedicated to the measurement of the small scalar
directional anisotropies associated to the magnetochiral interaction. The
apparatus, based on a polarization-independent fiber Sagnac interferometer, is
optimized to be insensitive to circular anisotropies and to residual
absorption. It can thus characterize samples of biological interests, for which
the two enantiomers are not available and/or which present poor transmission.
The signal-to-noise ratio is shown to be limited only by the source intensity
noise, leading to a detection limit of Df = 500 nrad.Hz-1/2. It yields a limit
on the magnetochiral index nMC < 4 10-13 T-1 at 1550 nm for the organic
molecules tested.


title: Topological dynamics of unordered Ramsey structures

abstract:
  In this paper we investigate the connections between Ramsey properties of
Fraisse classes K and the universal minimal flow M(G_K) of the automorphism
group G_K of their Fraisse limits. As an extension of a result of Kechris,
Pestov and Todorcevic we show that if the class K has finite Ramsey degree for
embeddings, then this degree equals the size of M(G_K). We give a partial
answer to a question of Angel, Kechris and Lyons showing that if K is a
relational Ramsey class and G_K is amenable, then M(G_K) admits a unique
invariant Borel probability measure that is concentrated on a unique generic
orbit.


title:
Bulgeless Galaxies at Intermediate Redshift: Sample Selection, Colour
  Properties, and the Existence of Powerful AGN

abstract:
  We present a catalogue of bulgeless galaxies, which includes 19225 objects
selected in four of the deepest, largest multi-wavelength datasets available --
COSMOS, AEGIS, GEMS and GOODS -- at intermediate redshift ($0.4 \leq z \leq
1.0$). The morphological classification was provided by the Advanced Camera for
Surveys General Catalogue (ACS-GC), which used publicly available data obtained
with the ACS instrument on the Hubble Space Telescope. Rest-frame photometric
quantities were derived using kcorrect. We analyse the properties of the sample
and the evolution of pure-disc systems with redshift. Very massive [$\log
(M_\star/M_{\odot}) > 10.5$] bulgeless galaxies contribute to ~30% of the total
galaxy population number density at $z \geq 0.7$, but their number density
drops substantially with decreasing redshift. We show that only a negligible
fraction of pure discs appear to be quiescent systems, and red sequence
bulgeless galaxies show indications of dust-obscured star formation. X-ray
catalogues were used to search for X-ray emission within our sample. After
visual inspection and detailed parametric morphological fitting we identify 30
AGN that reside in galaxies without a classical bulge. The finding of such
peculiar objects at intermediate redshift shows that while AGN growth in
merger-free systems is a rare event (0.2% AGN hosts in this sample of bulgeless
galaxies), it can indeed happen relatively early in the Universe history.


title: Molecfit: A Package for Telluric Absorption Correction

abstract:
  Correcting for the sky signature usually requires supplementary calibration
data which are very expensive in terms of telescope time. In addition, the
scheduling flexibility is restricted as these data have to be taken usually
directly before/after the science observations due to the high variability of
the telluric absorption which depends on the state and the chemical composition
of the atmosphere at the time of observations. Therefore, a tool for sky
correction, which does not require this supplementary calibration data, saves a
significant amount of valuable telescope time and increases its efficiency. We
developed a software package aimed at performing telluric feature corrections
on the basis of synthetic absorption spectra.


title:
X-ray and EUV spectroscopy of various astrophysical and laboratory
  plasmas -- Collisional, photoionization and charge-exchange plasmas

abstract:
  Several laboratory facilities were used to benchmark theoretical spectral
models those extensively used by astronomical communities. However there are
still many differences between astrophysical environments and laboratory
miniatures that can be archived. Here we setup a spectral analysis system for
astrophysical and laboratory (SASAL) plasmas to make a bridge between them, and
investigate the effects from non-thermal electrons, contribution from
metastable level-population on level populations and charge stage distribution
for coronal-like, photoionized, and geocoronal plasmas. Test applications to
laboratory measurement (i.e. EBIT plasma) and astrophysical observation (i.e.
Comet, Cygnus X-3) are presented. Time evolution of charge stage and level
population are also explored for collisional and photoionized plasmas.


title: How bilayer excitons can greatly enhance thermoelectric efficiency

abstract:
  Currently, one of the major nanotechnological challenges is to design
thermoelectric devices that have a high figure of merit. To that end, we
propose to use bilayer excitons. Bilayer exciton systems are shown to have an
improved thermopower and an enhanced electric counterflow and thermal
conductivity, with respect to regular semiconductor-based thermoelectrics. Here
we present a roadmap towards experimental realization of a bilayer exciton
thermocouple. A bilayer exciton heterostructures of $p$- and $n$-doped
Bi$_2$Te$_3$ can have a figure of merit $zT \sim 60$. Another material
suggestion is to make a bilayer out of electron-doped SrTiO$_3$ and hole-doped
Ca$_3$Co$_4$O$_9$.


title: Dynamical local and non-local Casimir atomic phases

abstract:
  We develop an open-system dynamical theory of the Casimir interaction between
coherent atomic waves and a material surface. The system --- the external
atomic waves --- disturbs the environment --- the electromagnetic field and the
atomic dipole degrees of freedom --- in a non- local manner by leaving
footprints on distinct paths of the atom interferometer. This induces a
non-local dynamical phase depending simultaneously on two distinct paths,
beyond usual atom-optics methods, and comparable to the local dynamical phase
corrections. Non-local and local atomic phase coherences are thus equally
important to capture the interplay between the external atomic motion and the
Casimir interaction. Such dynamical phases are obtained for finite-width
wavepackets by developing a diagrammatic expansion of the disturbed environment
quantum state.


title:
Spectrum Sensing Via Reconfigurable Antennas: Is Cooperation of
  Secondary Users Indispensable?

abstract:
  This work presents an analytical framework for characterizing the performance
of cooperative and noncooperative spectrum sensing schemes by figuring out the
tradeoff between the achieved diversity and coding gains in each scheme. Based
on this analysis, we try to answer the fundamental question: can we dispense
with SUs cooperation and still achieve an arbitrary diversity gain? It is shown
that this is indeed possible via a novel technique that can offer diversity
gain for a single SU using a single antenna. The technique is based on the
usage of a reconfigurable antenna that changes its propagation characteristics
over time, thus creating an artificial temporal diversity. It is shown that the
usage of reconfigurable antennas outperforms cooperative as well as
non-cooperative schemes at low and high Signal-to-Noise Ratios (SNRs).
Moreover, if the channel state information is available at the SU, an
additional SNR gain can also be achieved.


title:
Cold gas properties of the Herschel Reference Survey. I. 12CO(1-0) and
  HI data

abstract:
  We present new 12CO(1-0) observations of 59 late-type galaxies belonging to
the Herschel Reference Survey (HRS), a complete K-band-selected, volume-limited
(15 <D< 25 Mpc) sample of nearby galaxies spanning a wide range in
morphological type and luminosity. We studied different recipes to correct
single-beam observations of nearby galaxies of different sizes and inclinations
for aperture effects. This was done by comparing single-beam and multiple-beam
observations along the major axis, which were corrected for aperture effects
using different empirical or analytical prescriptions, to integrated maps of
several nearby galaxies, including edge-on systems observed by different
surveys. The resulting recipe is an analytical function determined by assuming
that late-type galaxies are 3D exponentially declining discs with a
characteristic scale length r_CO} = 0.2 r_24.5, where r_24.5 is the optical, g-
(or B-) band isophotal radius at the 24.5 mag arcsec^-2 (25 mag arcsec^-2), as
well as a scale height z_CO = 1/100 r_24.5. Our new CO data are then combined
with those available in the literature to produce the most updated catalogue of
CO observations for the HRS, now including 225 out of the 322 galaxies of the
complete sample. The 3D exponential disc integration is applied to all the
galaxies of the sample to measure their total CO fluxes, which are later
transformed into molecular gas masses using a constant and a
luminosity-dependent X_CO conversion factor. We also collect HI data for 315
HRS galaxies from the literature and present it in a homogenised form.


title:
Slow and velocity-tunable beams of metastable He$_2$ by multistage
  Zeeman deceleration

abstract:
  Metastable helium molecules (He$_2^*$) have been generated by striking a
discharge in a supersonic expansion of helium gas from a pulsed valve. When
operating the pulsed valve at room temperature, 77K, and 10K, the mean velocity
of the supersonic beam was measured to be 1900m/s, 980m/s, and 530m/s,
respectively. A 55-stage Zeeman decelerator operated in a phase-stable manner
was then used to further reduce the beam velocity and tune it in the range
between 100 and 150m/s. The internal-state distribution of the decelerated
sample was established by photoionization spectroscopy.


title: Homological Descent for Motivic Homology Theories

abstract:
  We show that motivic homology, motivic Borel-Moore homology and higher Chow
groups satisfy homological descent for hyperenvelopes, and l-hyperenvelopes
after inverting l.


title: Origin of subdiffusion of water molecules on cell membrane surfaces

abstract:
  Water molecules play an important role in providing unique environments for
biological reactions on cell membranes. It is widely believed that water
molecules form bridges that connect lipid molecules and stabilize cell
membranes. Using all-atom molecular dynamics simulations, we show that
translational and rotational diffusion of water molecules on lipid membrane
surfaces exhibit subdiffusion. Moreover, we provide evidence that both
divergent mean trapping time (continuous-time random walk) and long-correlated
noise (fractional Brownian motion) contribute to this subdiffusion. These
results suggest that subdiffusion on cell membranes causes the water
retardation, an enhancement of cell membrane stability, and a higher reaction
efficiency.


title:
Arithmetic hom-Lie algebras, twisted derivations and non-commutative
  arithmetic schemes

abstract:
  Hom-Lie algebras are non-associative algebras generalizing Lie algebras by
twisting the Jacobi identity by an endomorphism. The main examples are algebras
of twisted derivations (i.e., linear maps with a generalized Leibniz rule).
Such generalized derivations seem to pop up in different guises in many parts
of number theory and arithmetic geometry. In fact, any place something like
$\mathrm{id}-\phi$, where $\phi$ is (possibly extended to) a ring morphism,
appears, such as in $p$-adic Hodge theory, Iwasawa theory, e.t.c., there is a
twisted derivation hiding. Therefore, hom-Lie algebras appear to have a natural
r\^ole to play in many number-theoretical disciplines. This paper is a first
step in a study of these operators and associated algebras in an
arithmetic-/geometric context.


title:
Control and calculation of the titanium sublimation pumping speed and
  re-ionisation in the MAST Neutral Beam Injectors

abstract:
  A high pumping speed is required in neutral beam injectors to minimise
re-ionisation of the neutral beams. The neutral beam injectors on MAST use
titanium sublimation pumps. These pumps do not have a constant pumping speed;
their pumping speed depends on the gettering surface history and on both the
integrated and applied gas load. In this paper we report a method of
maintaining a constant pumping speed,through different evaporation schemes,
suitable for operations of the MAST beamline for both short and relatively long
beam pulses by measurement of the pressure in the beamline. In addition the
MCNP code is then used to calculate the gas profile in the beamline by
adjusting the input pumping speed to match the measured pressure. This allows
the resulting gas profile to be used for calculation of the re-ionisation
levels and an example is given.


title: Constraining the true nature of an exotic binary in the core of NGC 6624

abstract:
  We report on the identification of the optical counterpart to Star1, the
exotic object serendipitously discovered by Deutsch et al. in the core of the
Galactic globular cluster NGC 6624. Star1 has been classified by Deutsch et al.
as either a quiescent Cataclysmic Variable or a low-mass X-ray binary. Deutsch
et al. proposed StarA as possible optical counterpart to this object. We used
high-resolution images obtained with the Hubble Space Telescope to perform a
variability analysis of the stars close to the nominal position of Star1. While
no variability was detected for StarA, we found another star, here named
COM_Star1, showing a clear sinusoidal light modulation with amplitude \Delta
m_F435W~0.7 mag and orbital period of P_orb~98 min. The shape of the light
curve is likely caused by strong irradiation by the primary heating one
hemisphere of the companion, thus suggesting a quite hot primary.


title:
Cooperative order in the weakly magnetic domain of
  LaFeAsO$_{1-x}$F$_{x}$ near the doping phase boundary

abstract:
  Spatial phase separation into mesoscopic domains of non-magnetic
[superconducting (SC) below Tc = 25.5 K] and two kinds of magnetic phases, one
showing disordered spin density wave (d-SDW) order and another associated with
glassy weak magnetism (WM), are observed below ~100 K by muon spin rotation
(muSR) in LaFeAsO1-xFx for x = 0.057(3) which is near the boundary of these
phases on the doping phase diagram. In contrast to the competing order observed
in the regular SDW phase of Ba(Fe1-xCox)2As2, the WM domain exhibits
cooperative coupling of superconducting and magnetic order parameters as
inferred from strong diamagnetism and associated negative shift of muSR
frequency just below Tc.


title: Decomposition of balls in $\mathbb{R}^d$

abstract:
  We investigate the decomposition problem of balls into finitely many
congruent pieces in dimension $d=2k$. In addition, we prove that the $d$
dimensional unit ball $B_d$ can be divided into finitely many congruent pieces
if $d=4$ or $d\ge 6$. We show that the minimal number of required pieces is
less than $20d$ if $d \ge 10$.


title: A cohomological Hasse principle over two-dimensional local rings

abstract:
  Let $K$ be the fraction field of a two-dimensional henselian, excellent,
equi-characteristic local domain. We prove a local-global principle for Galois
cohomology with finite coefficients over $K$. We use classical machinery from
\'etale cohomology theory, drawing upon an idea in Saito's work on
two-dimensional local class field theory. This approach works equally well over
the function field of a curve over an equi-characteristic henselian discrete
valuation field, thereby giving a different proof of (a slightly generalized
version of) a recent result of Harbater, Hartmann and Krashen. We also present
two applications. One is the Hasse principle for torsors under quasi-split
semisimple simply connected groups without $E_8$ factor. The other gives an
explicit upper bound for the Pythagoras number of a Laurent series field in
three variables. This bound is sharper than earlier estimates.


title: Detached topological charge on capillary bridges

abstract:
  We numerically investigate crystalline order on negative Gaussian curvature
capillary bridges. In agreement with the experimental results in [W. Irvine et
al., Nature, "Pleats in crystals on curved surfaces", 2010, (468), 947]} we
observe for decreasing integrated Gaussian curvature a sequence of transitions,
from no defects to isolated dislocations, pleats, scars and isolated sevenfold
disclinations. We especially focus on the dependency of the detached
topological charge on the integrated Gaussian curvature, for which we observe,
again in agreement with the experimental results, no net disclination for an
integrated curvature down to -10, and a linear behaviour from there on until
the disclinations match the integrated curvature of -12. The results are
obtained using a phase field crystal approach on catenoid-like surfaces and are
highly sensitive to the initialization.


title: Spin-orbit correlations in the nucleon

abstract:
  We investigate the correlations between the quark spin and orbital angular
momentum inside the nucleon. Similarly to the Ji relation, we show that these
correlations can be expressed in terms of specific moments of measurable parton
distributions. This provides a whole new piece of information about the
partonic structure of the nucleon.


title: A z ~ 5.7 Ly{\alpha} Emission Line with an Ultra Broad Red Wing

abstract:
  Using Ly{\alpha} emission line as a tracer of high redshift star forming
galaxies, hundreds of Ly{\alpha} emission line galaxies (LAEs) at z > 5 have
been detected. These LAEs are considered to be low mass young galaxies,
critical to the reionization of the universe and the metal enrichment of
circumgalactic medium (CGM) and intergalactic medium (IGM). It is assumed that
outflows in LAEs can help ionizing photons and Ly{\alpha} photons escape out of
galaxies. However we still know little about the outflows in high redshifts
LAEs due to observational difficulties, especially at redshift > 5. Models of
Ly{\alpha} radiative transfer predict asymmetric Ly{\alpha} line profiles with
broad red wing in LAEs with outflows. Here we report a z ~ 5.7 Ly{\alpha}
emission line with a broad red wing extending to > 1000 km/s relative to the
peak of Ly{\alpha} line, which has been detected in only a couple of z > 5 LAEs
till now. If the broad red wing is ascribed to gas outflow instead of AGN
activity, the outflow velocity could be larger than the escape velocity (~ 500
km/s) of typical halo mass of z ~ 5.7 LAEs, being consistent with the picture
that outflows in LAEs disperse metals to CGM and IGM.


title: Uniformisation of a once-punctured annulus

abstract:
  The universal cover or the covering group of a hyperbolic Riemann surface $X$
is important but hard to express explicitly. It can be, however, detected by
the uniformisation and a suitable description of $X$. Beardon proposed five
different ways to describe twice-punctured disks using fundamental domain,
hyperbolic length, collar and extremal length in 2012. We parameterize a
once-punctured annulus $A$ in terms of five parameter pairs and give explicit
formulas about the hyperbolic structure and the complex structure of $A$.
Several degenerating cases are also treated.


title:
Temperature dependent spin transport properties of Platinum inferred
  from spin Hall magnetoresistance measurements

abstract:
  We study the temperature dependence of the spin Hall magnetoresistance (SMR)
in yttrium iron garnet/platinum hybrid structures via magnetization orientation
dependent magnetoresistance measurements. Our experiments show a decrease of
the SMR magnitude with decreasing temperature. Using the sensitivity of the SMR
to the spin transport properties of the normal metal, we interpret our data in
terms of a decrease of the spin Hall angle in platinum from 0.11 at room
temperature to 0.075 at 10K, while the spin diffusion length and the spin
mixing conductance of the ferrimagnetic insulator/normal metal interface remain
almost constant.


title:
New developments for dual methods in lattice field theory at non-zero
  density

abstract:
  In recent years the complex action problem of lattice field theory at finite
density was overcome for several system by mapping them to dual variables (flux
lines and surfaces). We illustrate this mapping for the case of the U(1) gauge
Higgs system and present some representative physics results for this model.
Conceptual challenges such as spectroscopy in the dual approach, as well as
algorithmic developments are discussed and related ideas for systems with
fermions are addressed. Models where the dual variables approach solves the
complex action problem can serve as reference systems for other approaches to
finite density lattice field theory and we discuss some examples. Finally we
address the strategy of a partial dualization in certain limits, e.g., for
strong coupling and large mass.

categories: hep-lat cond-mat.stat-mech hep-ph hep-th


title:
Improved description of the pion-nucleon scattering phenomenology in
  covariant baryon chiral perturbation theory

abstract:
  We highlight some of the recent advances in the application of chiral
effective field theory (chiral EFT) with baryons to the $\pi N$ scattering
process. We recall some problems that cast doubt on the applicability of chiral
EFT to $\pi N$ and show how the relativistic formalism, once the
$\Delta(1232)$-resonance is included as an explicit degree of freedom, solves
these issues. Finally it is shown how this approach can be used to extract the
$\sigma$-terms from phenomenological information.


title: Estimation of Minkowski tensors from digital grey-scale images

abstract:
  It has been shown that local algorithms based on grey-scale images sometimes
lead to asymptotically unbiased estimators for surface area and integrated mean
curvature. This paper extends the results to estimators for Minkowski tensors.
In particular, asymptotically unbiased local algorithms for estimation of all
volume and surface tensors and certain mean curvature tensors are given. This
requires an extension of the known asymptotic formulas to estimators with
position dependent weights.


title: Probing the gaseous disk of T Tau N with CN 5-4 lines

abstract:
  We present spectrally resolved Herschel/HIFI observations of the young
multiple system T Tau in atomic and molecular lines. While CO, H2O, [C II], and
SO lines trace the envelope and the outflowing gas up to velocities of 33 km/s
with respect to systemic, the CN 5-4 hyperfine structure lines at 566.7, 566.9
GHz show a narrow double-peaked profile centered at systemic velocity,
consistent with an origin in the outer region of the compact disk of T Tau N.
Disk modeling of the T Tau N disk with the thermo-chemical code ProDiMo
produces CN line fluxes and profiles consistent with the observed ones and
constrain the size of the gaseous disk (R_out = 110 (+10, -20) AU) and its
inclination (i = 25 \pm 5 degree). The model indicates that the CN lines
originate in a disk upper layer at 40-110 AU from the star, which is irradiated
by the stellar UV field and heated up to temperatures of 50-700 K. With respect
to previously observed CN 2-1 millimeter lines, the CN 5-4 lines appear to be
less affected by envelope emission, due to their larger critical density and
excitation temperature. Hence, high-J CN lines are a unique confusion-free
tracer of embedded disks, such as the disk of T Tau N.


title: Petrov type I Spacetime and Dual Relativistic Fluids

abstract:
  The Petrov type I condition for the solutions of vacuum Einstein equations in
both of the non-relativistic and relativistic hydrodynamic expansions is
checked. We show that it holds up to the third order of the non-relativistic
hydrodynamic expansion parameter, but it is violated at the fourth order even
if we choose a general frame. On the other hand, it is found that the condition
holds at least up to the second order of the derivative expansion parameter.
Turn the logic around, through imposing the Petrov type I condition and
Hamiltonian constraint on a finite cutoff surface, we show that the stress
tensor of the relativistic fluid can be recovered with correct first order and
second order transport coefficients dual to the solutions of vacuum Einstein
equations.


title:
A field-theoretical approach to entanglement in neutrino mixing and
  oscillations

abstract:
  The phenomena of particle mixing and flavor oscillations in elementary
particle physics can be addressed by the point of view of quantum information
theory, and described in terms of multi-mode entanglement of single-particle
states. In this paper we show that such a description can be extended to the
domain of quantum field theory, where we uncover a fine structure of quantum
correlations associated with multi-mode, multi-particle entanglement. By means
of an entanglement measure based on the linear entropies associated with all
the possible bipartitions, we analyze the entanglement in the states of flavor
neutrinos and anti-neutrinos. Remarkably, we show that the entanglement is
connected with experimentally measurable quantities, i.e. the variances of the
lepton numbers and charges.


title: Approximations of Stochastic Partial Differential Equations

abstract:
  In this paper we show that solutions of stochastic partial differential
equations driven by Brownian motion can be approximated by stochastic partial
differential equations forced by pure jump noise/random kicks. Applications to
stochastic Burgers equations are discussed.


title:
Comparative Computational Study of the Energetics of Li, Na, and Mg
  Storage in Amorphous and Crystalline Silicon

abstract:
  To assess the potential of amorphous Si (a-Si) as an anode for Li, Na, and
Mg-ion batteries, the energetics of Li, Na, and Mg atoms in a-Si are computed
from first-principles and compared to those in crystalline Si (c-Si). It is
shown that Si preamorphization increases the average anode voltage and reduces
the volume expansion of the anode during the insertion of the metal atoms.
Analysis of computed formation energies of Li, Na, and Mg defects in a-Si and
c-Si suggests that the energetics of the single atoms into a-Si are
thermodynamically more favorable. For instance, defect formation energies of
Li, Na, and Mg defects in a-Si are respectively 0.71, 1.72, and 1.82 eV lower
compared to those in c-Si. Moreover, the defect formation energies of Li, Na,
and Mg defects (vs. vacuum reference states) in a-Si are comparable with the
metal cohesive energies and consequently the insertion of the metal atoms might
be possible with appropriate control of charging process. This is in contrast
to c-Si, where the storage of Na and Mg atoms is limited due to high energy
cost of Na and Mg insertion into c-Si.


title: Showering Cosmogenic Muons in A Large Liquid Scintillator

abstract:
  We present the results of FLUKA simulations of the propagation of cosmogenic
muons in a 20 kton spherical liquid scintillator detector underneath 700 to 900
meters of rock. A showering muon is one which deposits at least 3 GeV in the
detector in addition to ionization energy. We find that 20 percent of muons are
showering and a further 10 percent of muon events are muon bundles of which
more than one muon enters the detector. In this range the showering and bundle
fractions are robust against changes in the depth and topography, thus the
total shower and bundle rate for a given experiment can be obtained by
combining our results with an estimate for the total muon flux. One consequence
is that a straightforward adaptation of the full detector showering muon cuts
used by KamLAND to JUNO or RENO 50 would yield a nearly vanishing detector
efficiency.


title:
On the weighted reverse order laws for the Moore-Penrose inverse and
  K-inverses

abstract:
  The main objective of this article is to study several generalizations of the
reverse order law for the Moore-Penrose inverse in ring with involution.


title:
Kinetic description of optimal control problems and applications to
  opinion consensus

abstract:
  In this paper an optimal control problem for a large system of interacting
agents is considered using a kinetic perspective. As a prototype model we
analyze a microscopic model of opinion formation under constraints. For this
problem a Boltzmann-type equation based on a model predictive control
formulation is introduced and discussed. In particular, the receding horizon
strategy permits to embed the minimization of suitable cost functional into
binary particle interactions. The corresponding Fokker-Planck asymptotic limit
is also derived and explicit expressions of stationary solutions are given.
Several numerical results showing the robustness of the present approach are
finally reported.


title: Introducing Morphit, a new type of spreadsheet technology

abstract:
  This paper describes a new type of spreadsheet which mitigates the errors
caused by incorrect range referencing in formulae. This spreadsheet is composed
of structured worksheets called tables which contain a hierarchical
organization of fields. Formulae are defined at the field-level removing the
need for positional references. In addition, relationships can be defined
between fields in tables, allowing data to be modeled rather than simply
processed and providing a re-usable framework for authoring spreadsheets. We
shall describe the key features of tables with an emphasis on error detection
and avoidance.


title: Graded Clifford algebras of prime global dimension with an action of H_p

abstract:
  In this article we study graded Clifford algebras with a gradation preserving
action of automorphisms given by $H_p$, the Heisenberg group of order $p^3$
with $p$ prime. After reviewing results in dimensions 3 and 4, we will
determine the graded Clifford algebras that are AS-regular algebras of global
dimension 5 and generalize certain results to arbitrary dimension $p$. More
specifically, we prove that there is a nice correspondence between
$\mathbb{P}^1_{\mathbb{F}_p}$ and the algebras isomorphic to the quantum space
$\mathbb{C}_{-1}[x_0,\ldots,x_{p-1}]$.


title:
How to Bootstrap Aalen-Johansen Processes for Competing Risks?
  Handicaps, Solutions and Limitations

abstract:
  Statistical inference in competing risks models is often based on the famous
Aalen-Johansen estimator. Since the corresponding limit process lacks
independent increments, it is typically applied together with Lin's (1997)
resampling technique involving standard normal multipliers. Recently, it has
been seen that this approach can be interpreted as a wild bootstrap technique
and that other multipliers, as e.g. centered Poissons, may lead to better
finite sample performances, see Beyersmann et al. (2013). Since the latter is
closely related to Efron's classical bootstrap, the question arises whether
this or more general weighted bootstrap versions of Aalen-Johansen processes
lead to valid results. Here we analyze their asymptotic behaviour and it turns
out that such weighted bootstrap versions in general possess the wrong
covariance structure in the limit. However, we explain that the weighted
bootstrap can nevertheless be applied for specific null hypotheses of interest
and also discuss its limitations for statistical inference. To this end, we
introduce different consistent weighted bootstrap tests for the null hypothesis
of stochastically ordered cumulative incidence functions and compare their
finite sample performance in a simulation study.


title:
Spectral density of products of Wishart dilute random matrices. Part I:
  the dense case

abstract:
  In this work we study the spectral density of products of Wishart diluted
random matrices of the form $X(1)\cdots X(M)(X(1)\cdots X(M))^T$ using the
Edwards-Jones trick to map this problem into a system of interacting particles
with random couplings on a multipartite graph. We apply the cavity method to
obtain recursive relations in typical instances from which to obtain the
spectral density. As this problem is fairly rich, we start by reporting in part
I a lengthy analysis for the case of dense matrices. Here we derive that the
spectral density is a solution of a polynomial equation of degree $M+1$ and
obtain exact expressions of it for $M=1$, $2$ and $3$. For general $M$, we are
able to find the exact expression of the spectral density only when all the
matrices $X(t)$ for $t=1,\ldots, M$ are square. We also make some observations
for general $M$, based admittedly on some weak numerical evidence, which we
expect to be correct.


title:
Modelling Lipid Competition Dynamics in Heterogeneous Protocell
  Populations

abstract:
  In addressing the origins of Darwinian evolution, recent experimental work
has been focussed on the discovery of simple physical effects which would
provide a relevant selective advantage to protocells competing with each other
for a limited supply of lipid. In particular, data coming from Szostak's lab
suggest that the transition from simple prebiotically plausible lipid membranes
to more complex and heterogeneous ones, closer to real biomembranes, may have
been driven by changes in the fluidity of the membrane and its affinity for the
available amphiphilic compound, which in turn would involve changes in vesicle
growth dynamics. Earlier work from the same group reported osmotically-driven
competition effects, whereby swelled vesicles grow at the expense of isotonic
ones. In this paper, we try to expand on these experimental studies by
providing a simple mathematical model of a population of competing vesicles,
studied at the level of lipid kinetics. In silico simulations of the model are
able to reproduce qualitatively and often quantitatively the experimentally
reported competition effects in both scenarios. We also develop a method for
numerically solving the equilibrium of a population of competing model
vesicles, which is quite general and applicable to different vesicle kinetics
schemes.


title:
Analysis of the proton longitudinal structure function from the gluon
  distribution function

abstract:
  We make a critical, next-to-leading order, study of the relationship between
the longitudinal structure function FL and the gluon distribution proposed in
Cooper- Sarkar et al. (Z. Phys. C 39:281, 1988; Acta Phys. Pol. B 34:2911
2003), which is frequently used to extract the gluon distribution from the
proton longitudinal structure function at small x. The gluon density is
obtained by expanding at particular choices of the point of expansion and
compared with the hard Pomeron behavior for the gluon density. Comparisons with
H1 data are made and predictions for the proposed best approach are also
provided.


title: On finite volume effects in the chiral extrapolation of baryon masses

abstract:
  We perform an analysis of the QCD lattice data on the baryon octet and
decuplet masses based on the relativistic chiral Lagrangian. The baryon self
energies are computed in a finite volume at next-to-next-to-next-to leading
order (N$^3$LO), where the dependence on the physical meson and baryon masses
is kept. The number of free parameters is reduced significantly down to 12 by
relying on large-$N_c$ sum rules. Altogether we describe accurately more than
220 data points from six different lattice groups, BMW, PACS-CS, HSC, LHPC,
QCDSF-UKQCD and NPLQCD. Values for all counter terms relevant at N$^3$LO are
predicted. In particular we extract a pion-nucleon sigma term of 39$_{-1}^{+2}$
MeV and a strangeness sigma term of the nucleon of $\sigma_{sN} = 84^{+
28}_{-\;4}$ MeV. The flavour SU(3) chiral limit of the baryon octet and
decuplet masses is determined with $(802 \pm 4)$ MeV and $(1103 \pm 6)$ MeV.
Detailed predictions for the baryon masses as currently evaluated by the ETM
lattice QCD group are made.


title: Ising model on random networks and the canonical tensor model

abstract:
  We introduce a statistical system on random networks of trivalent vertices
for the purpose of studying the canonical tensor model, which is a rank-three
tensor model in the canonical formalism. The partition function of the
statistical system has a concise expression in terms of integrals, and has the
same symmetries as the kinematical ones of the canonical tensor model. We
consider the simplest non-trivial case of the statistical system corresponding
to the Ising model on random networks, and find that its phase diagram agrees
with what is implied by regrading the Hamiltonian vector field of the canonical
tensor model with N = 2 as a renormalization group flow. Along the way, we
obtain an explicit exact expression of the free energy of the Ising model on
random networks in the thermodynamic limit by the Laplace method. This paper
provides a new example connecting a model of quantum gravity and a random
statistical system.


title:
An Equivalent Presentation of the Bezem-Coquand-Huber Category of
  Cubical Sets

abstract:
  Staton has shown that there is an equivalence between the category of
presheaves on (the opposite of) finite sets and partial bijections and the
category of nominal restriction sets: see [2, Exercise 9.7]. The aim here is to
see that this extends to an equivalence between the category of cubical sets
introduced in [1] and a category of nominal sets equipped with a
"01-substitution" operation. It seems to me that presenting the topos in
question equivalently as 01-substitution sets rather than cubical sets will
make it easier (and more elegant) to carry out the constructions and
calculations needed to build the intended univalent model of intentional
constructive type theory.


title:
Switching the Conductance of a Molecular Junction using a Proton
  Transfer Reaction

abstract:
  A novel mechanism for switching a molecular junction based on a proton
transfer reaction triggered by an external electrostatic field is proposed. As
a specific example to demonstrate the feasibility of the mechanism, the
tautomers [2,5-(4-hydroxypyridine)] and {2,5-[4(1H)-pyridone]} are considered.
Employing a combination of first-principles electronic structure calculations
and Landauer transport theory, we show that both tautomers exhibit very
different conductance properties and realize the "on" and "off" states of a
molecular switch. Moreover, we provide a proof of principle that both forms can
be reversibly converted into each other using an external electrostatic field.


title: The Bound-State Beta Decay of the Neutron Revisited

abstract:
  This paper is addressed to the analysis of the set of observables of the
bound-state beta-decay, which can be used for the experimental investigation of
contributions of i) interactions beyond the Standard Model (SM) and of ii) the
left-handed polarisation state of antineutrinos. For this aim we calculate the
branching ratio, probabilities and angular distributions of probabilities of
hydrogen in the hyperfine states and of the proton-electron pair in different
spinorial states, induced by left-handed and right-handed hadronic and leptonic
currents. The branching ratio of the bound-state beta-decay is calculated by
taking into account radiative corrections. We show that the probabilities of
the bound-state beta-decay can be good observables for experimental
investigations of contributions of interactions beyond the SM, whereas the
angular distributions of probabilities are good observables for experimental
searches of contributions of the left-handed polarisation state of
antineutrinos.


title: Spectroscopic characterization and detection of Ethyl Mercaptan in Orion

abstract:
  New laboratory data of ethyl mercaptan, CH$_{3}$CH$_{2}$SH, in the millimeter
and submillimeter-wave domains (up to 880 GHz) provided very precise values of
the spectroscopic constants that allowed the detection of
$gauche$-CH$_3$CH$_2$SH towards Orion KL. 77 unblended or slightly blended
lines plus no missing transitions in the range 80-280 GHz support this
identification. A detection of methyl mercaptan, CH$_{3}$SH, in the spectral
survey of Orion KL is reported as well. Our column density results indicate
that methyl mercaptan is $\simeq$ 5 times more abundant than ethyl mercaptan in
the hot core of Orion KL.


title: Morse cohomology in a Hilbert space via the Conley Index

abstract:
  Main theorem of this paper states that Floer cohomology groups in a Hilbert
space are isomorphic to the cohomological Conley Index. It is also shown that
calculating cohomological Conley Index does not require finite dimensional
approximations of the vector field. Further directions are discussed.


title:
Note About Non-Relativistic Diffeomorphism Invariant Gravity Action in
  Three Dimensions

abstract:
  This short note is devoted to the Hamiltonian analysis of three dimensional
gravity action that was proposed recently in [arXiv:1309.7231]. We modify given
action in order to be invariant under non-relativistic diffeomorphism. Then we
perform Hamiltonian analysis of given action and determine the number of
physical degrees of freedom.


title: Compact Quiescent Galaxies at Intermediate Redshifts

abstract:
  From several searches of the area common to the Sloan Digital Sky Survey and
the United Kingdom Infrared Telescope Infrared Deep Sky Survey, we have
selected 22 luminous galaxies between $z \sim$ 0.4 and $z \sim$ 0.9 that have
colors and sizes similar to those of the compact quiescent galaxies at $z>2$.
By exploring structural parameters and stellar populations, we found that most
of these galaxies actually formed most of their stars at $z<2$ and are
generally less compact than those found at $z > 2$. Several of these young
objects are disk-like or possibly prolate. This lines up with several previous
studies which found that massive quiescent galaxies at high redshifts often
have disk-like morphologies. If these galaxies were to be confirmed to be
disk-like, their formation mechanism must be able to account for both
compactness and disks. On the other hand, if these galaxies were to be
confirmed to be prolate, the fact that prolate galaxies do not exist in the
local universe would indicate that galaxy formation mechanisms have evolved
over cosmic time. We also found five galaxies forming over 80% of their stellar
masses at $z>2$. Three of these galaxies appear to have been modified to have
spheroid-like morphologies, in agreement with the scenario of "inside-out"
buildup of massive galaxies. The remaining galaxies, SDSS\,J014355.21+133451.4
and SDSS\,J115836.93+021535.1, have truly old stellar populations and disk-like
morphologies. These two objects would be good candidates for nearly unmodified
compact quiescent galaxies from high redshifts that are worth future study.


title: A Maintainability Checklist for Spreadsheets

abstract:
  Spreadsheets are widely used in industry, because they are flexible and easy
to use. Often, they are even used for business-critical applications. It is
however difficult for spreadsheet users to correctly assess the maintainability
of spreadsheets. Maintainability of spreadsheets is important, since
spreadsheets often have a long lifespan, during which they are used by several
users. In this paper, we present a checklist aimed at measuring the
maintainability of a spreadsheet. This is achieved via asking several
questions, and can indicate whether the spreadsheet is safe to use now and in
the future. We demonstrate the applicability of our approach on 11 spreadsheets
from the EUSES corpus.


title:
Infrared luminescence in Bi-doped Ge-S and As-Ge-S chalcogenide glasses
  and fibers

abstract:
  Experimental and theoretical studies of spectral properties of chalcogenide
Ge-S and As-Ge-S glasses and fibers are performed. A broad infrared (IR)
luminescence band which covers the 1.2-2.3~$\mu$m range with a lifetime about
6~$\mu$s is discovered. Similar luminescence is also present in optical fibers
drawn from these glasses. Arsenic addition to Ge-S glass significantly enhances
both its resistance to crystallization and the intensity of the luminescence.
Computer modeling of Bi-related centers shows that interstitial Bi$^+$ ions
adjacent to negatively charged S vacancies are most likely responsible for the
IR luminescence.


title:
Turbulence in the highly restricted dynamics of a closure at second
  order: comparison with DNS

abstract:
  S3T (Stochastic Structural Stability Theory) employs a closure at second
order to obtain the dynamics of the statistical mean turbulent state. When S3T
is implemented as a coupled set of equations for the streamwise mean and
perturbation states, nonlinearity in the dynamics is restricted to interaction
between the mean and perturbations. The S3T statistical mean state dynamics can
be approximately implemented by similarly restricting the dynamics used in a
direct numerical simulation (DNS) of the full Navier-Stokes equations (referred
to as the NS system). Although this restricted nonlinear system (referred to as
the RNL system) is greatly simplified in its dynamics in comparison to the
associated NS, it nevertheless self-sustains a turbulent state in wall-bounded
shear flow with structures and dynamics comparable to that in observed
turbulence. Moreover, RNL turbulence can be analyzed effectively using
theoretical methods developed to study the closely related S3T system. In order
to better understand RNL turbulence and its relation to NS turbulence, an
extensive comparison is made of diagnostics of structure and dynamics in these
systems. Although quantitative differences are found, the results show that
turbulence in the RNL system closely parallels that in NS and suggest that the
S3T/RNL system provides a promising reduced complexity model for studying
turbulence in wall-bounded shear flows.


title: A direct view at excess electrons in TiO$_2$ rutile and anatase

abstract:
  A combination of Scanning Tunneling Microscopy/Spectroscopy and Density
Functional Theory (DFT+U) is used to characterize excess electrons in TiO$_2$
rutile and anatase, two prototypical materials with identical chemical
composition but different crystal lattices. In rutile, excess electrons can
localize at any lattice Ti atom, forming a small polaron, which can easily hop
to neighboring sites. In contrast, electrons in anatase prefer a free-carrier
state, and can only be trapped near oxygen vacancies or form shallow donor
states bound to Nb dopants. The present study conclusively explains the
differences between the two polymorphs and indicates that even small structural
variations in the crystal lattice can lead to a very different behavior.


title: Filter convergence and decompositions for vector lattice-valued measures

abstract:
  Filter convergence of vector lattice-valued measures is considered, in order
to deduce theorems of convergence for their decompositions. First the
$\sigma$-additive case is studied, without particular assumptions on the
filter; later the finitely additive case is faced, first assuming uniform
$s$-boundedness (without restrictions on the filter), then relaxing this
condition but imposing stronger properties on the filter. In order to obtain
the last results, a Schur-type convergence theorem is used.


title:
Higher Moments and Prediction Based Estimation for the COGARCH(1,1)
  model

abstract:
  COGARCH models are continuous time version of the well known GARCH models of
financial returns. They are solution of a stochastic differential equation
driven by a L\'evy process. The first aim of this paper is to show how the
method of Prediction-Based Estimating Functions (PBEFs) can be applied to draw
statistical inference from a discrete sample of observations of a COGARCH(1,1)
model as far as the higher order structure of the process is clarified.
Motivated by the search for an optimal PBEF, a second aim of the paper is to
provide recursive expressions for the joint moments of any fixed order of the
process, whenever they exist. Asymptotic results are given and a simulation
study shows that the method of PBEF outperforms the other available estimation
methods.


title: Embeddings of the black holes in a flat space

abstract:
  We study the explicit embeddings of static black holes. We obtain two new
minimal embeddings of the Schwarzchild-de Sitter metric which smoothly cover
both horizons of this metric. The lines of time for these embeddings are more
complicated than hyperbolas. Also we shortly discuss the possibility of using
non-hyperbolic embeddings for calculation of the black hole Hawking temperature
in the Deser and Levin approach.


title: Spatial Modelling Techniques in Microsoft Excel

abstract:
  We begin by considering the expectations of the creators of VisiCalc, the
first spreadsheet. The emphasis is on the nature of the spreadsheet grid. The
grid is taken as a presentational method for showing a solution to a Sudoku
puzzle. We consider methods or approaches for the solution. We look at the
relationship between this model and academic papers on the methods for
describing and categorising end-user models generally. We consider whether the
type of model described here should be categorised separately. The complexity
of the model is reviewed in the context of commendations to minimise overly
sophisticated presentational constructs and formulae.


title:
Exchange-correlation functionals from the strongly-interacting limit of
  DFT: Applications to model chemical systems

abstract:
  We study model one-dimensional chemical systems (representative of their
three-dimensional counterparts) using the strictly-correlated electrons (SCE)
functional, which, by construction, becomes asymptotically exact in the limit
of infinite coupling strength. The SCE functional has a highly non-local
dependence on the density and is able to capture strong correlation within
Kohn- Sham theory without introducing any symmetry breaking. Chemical systems,
however, are not close enough to the strong-interaction limit so that, while
ionization energies and the stretched H2 molecule are accurately described,
total energies are in general way too low. A correction based on the exact next
leading order in the expansion at infinite coupling strength of the
Hohenberg-Kohn functional largely improves the results.


title: Universal sequences for the order-automorphisms of the rationals

abstract:
  In this paper, we consider the group Aut$(\mathbb{Q}, \leq)$ of
order-automorphisms of the rational numbers, proving a result analogous to a
theorem of Galvin's for the symmetric group. In an announcement, Kh\'elif
states that every countable subset of Aut$(\mathbb{Q}, \leq)$ is contained in
an $N$-generated subgroup of Aut$(\mathbb{Q}, \leq)$ for some fixed
$N\in\mathbb{N}$. We show that the least such $N$ is $2$. Moreover, for every
countable subset of Aut$(\mathbb{Q}, \leq)$, we show that every element can be
given as a prescribed product of two generators without using their inverses.
More precisely, suppose that $a$ and $b$ freely generate the free semigroup
$\{a,b\}^+$ consisting of the non-empty words over $a$ and $b$. Then we show
that there exists a sequence of words $w_1, w_2,\ldots$ over $\{a,b\}$ such
that for every sequence $f_1, f_2, \ldots\in\,$Aut$(\mathbb{Q}, \leq)$ there is
a homomorphism $\phi:\{a,b\}^{+}\to$ Aut$(\mathbb{Q},\leq)$ where
$(w_i)\phi=f_i$ for every $i$.
  As a corollary to the main theorem in this paper, we obtain a result of
Droste and Holland showing that the strong cofinality of Aut$(\mathbb{Q},
\leq)$ is uncountable, or equivalently that Aut$(\mathbb{Q}, \leq)$ has
uncountable cofinality and Bergman's property.


title: Inexact spectral deferred corrections

abstract:
  Spectral deferred correction (SDC) methods are an attractive approach to
iteratively computing collocation solutions to an ODE by performing so-called
sweeps with a low-order time stepping method. SDC allows to easily construct
high order split methods where e.g. stiff terms of the ODE are treated
implicitly. This requires the solution to full accuracy of multiple linear
systems of equations during each sweep, e.g. with a multigrid method. In this
paper, we present an inexact variant of SDC, where each solve of a linear
system is replaced by a single multigrid V-cycle and thus significantly reduces
the cost for each sweep. For the investigated examples, this strategy results
only in a small increase of the number of required sweeps and we demonstrate
that "inexact spectral deferred corrections" can provide a dramatic reduction
of the overall number of multigrid V-cycles required to complete an SDC time
step.


title: Classical fields and quantum measurement for Bose-Einstein condensate

abstract:
  We analyze a process of splitting of the Bose-Einstein condensate and the
mutual coherence of two separated atomic clouds. Within the classical fields
approximation we show that coherence between clouds is degraded if atoms
interact and if we account for the sufficiently long observation time. We also
show, that upon recombination, the coherence across the sample is restored. The
coherence is not fully degraded if the splitting potential remains sufficiently
penetrable. We calculate the variance of atom number difference for this
time-averaging measurement and show that for low temperatures it can be well
below Poissonian limit like it was observed in the experiments.


title: The result for the grundy number on p4 classes

abstract:
  Our work becomes integrated into the general problem of the stability of the
network ad hoc. Some, works attacked (affected) this problem. Among these
works, we find the modelling of the network ad hoc in the form of a graph. We
can resume the problem of coherence of the network ad hoc of a problem of
allocation of frequency We study a new class of graphs, the fat-extended P4
graphs, and we give a polynomial time algorithm to calculate the Grundy number
of the graphs in this class. This result implies that the Grundy number can be
found in polynomial time for many graphs


title: Equivariant K-theory of compact Lie groups with involution

abstract:
  For a compact simply connected simple Lie group $G$ with an involution
$\alpha$, we compute the $G\rtimes \Z/2$-equivariant K-theory of $G$ where $G$
acts by conjugation and $\Z/2$ acts either by $\alpha$ or by $g\mapsto
\alpha(g)^{-1}$. We also give a representation-theoretic interpretation of
those groups, as well as of $K_G(G)$.


title: Codes over a subset of Octonion Integers

abstract:
  In this paper we define codes over some Octonion integers. We prove that in
some conditions these codes can correct up to two errors for a transmitted
vector and the code rate of the codes is grater than the code rate of the codes
defined on some subset of Quaternion integers.


title:
Parareal for diffusion problems with space- and time-dependent
  coefficients

abstract:
  For the time-parallel Parareal method, there exists both numerical and
analytical proof that it converges very well for diffusive problems like the
heat equation. Many applications, however, do not lead to simple homogeneous
diffusive scenarios but feature strongly inhomogeneous and possibly anisotropic
coefficients. The paper presents results from a numerical study of how space-
and time-dependent coefficients in a diffusion setup affect Parareal's
convergence behaviour. It is shown that, for the presented examples,
non-constant diffusion coefficients have only marginal influence on how fast
Parareal converges. Furthermore, an example is shown that illustrates how for
linear problems the maximum singular value of the Parareal iteration matrix can
be used to estimate convergence rates.


title: The range of tree-indexed random walk in low dimensions

abstract:
  We study the range $R_n$ of a random walk on the $d$-dimensional lattice
$\mathbb{Z}^d$ indexed by a random tree with $n$ vertices. Under the assumption
that the random walk is centered and has finite fourth moments, we prove in
dimension $d\leq3$ that $n^{-d/4}R_n$ converges in distribution to the Lebesgue
measure of the support of the integrated super-Brownian excursion (ISE). An
auxiliary result shows that the suitably rescaled local times of the
tree-indexed random walk converge in distribution to the density process of
ISE. We obtain similar results for the range of critical branching random walk
in $\mathbb{Z}^d$, $d\leq3$. As an intermediate estimate, we get exact
asymptotics for the probability that a critical branching random walk starting
with a single particle at the origin hits a distant point. The results of the
present article complement those derived in higher dimensions in our earlier
work.


title:
Vortex-phase filtering technique for extracting spatial information from
  unresolved sources

abstract:
  A white light vortex coronagraph was used to experimentally achieve
sub-resolution detection. The angular location of the centroid, $\gamma$, and
the angular extent of circular pinhole sources, $\Theta$, were measured to
within errors of $\delta\gamma = \pm0.015\,\lambda/D$ and $\delta\Theta =
\pm0.026\,\lambda/D$. This technique has two advantages over conventional
imaging: simple power measurements are made and shorter exposure times may be
required to achieve a sufficient signal-to-noise ratio.


title: Noncommutative Extension of AdS-CFT and Holographic Superconductors

abstract:
  In this Letter, we consider a Non-Commutative (NC) extension of AdS-CFT
correspondence and its effects on holographic superconductors. NC corrections
are incorporated via the NC generalization of Schwarzschild black hole metric
in AdS with the probe limit. We study NC effects on the relations connecting
the charge density and the critical temperature of the Holographic
Superconductors. Furthermore, condensation operator of the superconductor has
been analyzed. Our results suggest that generically, NC effects increase the
critical temperature of the holographic superconductor.


title: Polarization of active Janus particles

abstract:
  We study the collective motion of Janus particles in a temperature or
concentration gradient. Because of the torque exerted by an external or
self-generated field, the particles align their axis on this gradient. In a
swarm of self-driven particles, this polarization enhances the
interactiondriven confinement. Self-polarization in a non-uniform laser beam
could be used for guiding hot particles along a given trajectory.


title:
Unifying the PST and the auxiliary tensor field formulations of 4D
  self-duality

abstract:
  We unify the Lorentz- and O(2) duality-covariant approach to 4D self-dual
theories by Pasti, Sorokin and Tonin (PST) with the formulation involving an
auxiliary tensor field. We present the basic features of the new hybrid
approach, including symmetries of the relevant generalized PST action. Its
salient peculiarity is the unique form of the realization of the PST gauge
symmetries. The corresponding transformations do not affect the auxiliary
tensor field, which guarantees the self-duality of the nonlinear actions in
which the O(2) invariant interactions are constructed out of the tensor field.


title:
Vitali-type theorems for filter convergence related to vector
  lattice-valued modulars and applications to stochastic processes

abstract:
  A Vitali-type theorem for vector lattice-valued modulars with respect to
filter convergence is proved. Some applications are given to modular
convergence theorems for moment operatorsin the vector lattice setting, and
also for the Brownian motion and related stochastic processes.


title: Low-energy constraints to $\alpha_s$

abstract:
  We briefly review some of the lower-energy constraints to the perturbative
behaviour of the strong coupling $\alpha_s$, with some emphasis on the
determination coming from the energy between two static sources calculated on
the lattice.


title:
A new correlation between solar energy radiation and some atmospheric
  parameters

abstract:
  The energy balance for an atmospheric layer near the soil is evaluated. By
integrating it over the whole day period a linear relationship between the
global daily solar radiation incident on a horizontal surface and the product
of the sunshine hours at clear sky with the maximum temperature variation in
the day is achieved. The results show a comparable accuracy with some well
recognized solar energy models such as the \ang-Prescott one, at least for
Mediterranean climatic area. Validation of the result has been performed using
old dataset which are almost contemporary and relative to the same sites with
the ones used for comparison.


title: Dynamic Stride Length Adaptation According to Utility And Personal Space

abstract:
  Pedestrians adjust both speed and stride length when they navigate difficult
situations such as tight corners or dense crowds. They try to avoid collisions
and to preserve their personal space. State-of-the-art pedestrian motion models
automatically reduce speed in dense crowds simply because there is no space
where the pedestrians could go. The stride length and its correct adaptation,
however, are rarely considered. This leads to artefacts that impact macroscopic
observation parameters such as densities in front of bottlenecks and, through
this, flow. Hence modelling stride adaptation is important to increase the
predictive power of pedestrian models. To achieve this we reformulate the
problem as an optimisation problem on a disk around the pedestrian. Each
pedestrian seeks the position that is most attractive in a sense of balanced
goals between the search for targets, the need for individual space and the
need to keep a distance from obstacles. The need for space is modelled
according to findings from psychology defining zones around a person that, when
invaded, cause unease. The result is a fully automatic adjustment that allows
calibration through meaningful social parameters and that gives visually
natural results with an excellent fit to measured experimental data.


title:
Dispersive homogenized models and coefficient formulas for waves in
  general periodic media

abstract:
  We analyze a homogenization limit for the linear wave equation of second
order. The spatial operator is assumed to be of divergence form with an
oscillatory coefficient matrix $a^\varepsilon$ that is periodic with
characteristic length scale $\varepsilon$; no spatial symmetry properties are
imposed. Classical homogenization theory allows to describe solutions
$u^\varepsilon$ well by a non-dispersive wave equation on fixed time intervals
$(0,T)$. Instead, when larger time intervals are considered, dispersive effects
are observed. In this contribution we present a well-posed weakly dispersive
equation with homogeneous coefficients such that its solutions $w^\varepsilon$
describe $u^\varepsilon$ well on time intervals $(0,T\varepsilon^{-2})$. More
precisely, we provide a norm and uniform error estimates of the form $\|
u^\varepsilon(t) - w^\varepsilon(t) \| \le C\varepsilon$ for $t\in
(0,T\varepsilon^{-2})$. They are accompanied by computable formulas for all
coefficients in the effective models. We additionally provide an
$\varepsilon$-independent equation of third order that describes dispersion
along rays and we present numerical examples.


title: On the Random Dynamics of Volterra Quadratic Operators

abstract:
  We consider random dynamical systems generated by a special class of Volterra
quadratic stochastic operators on the simplex $S^{m-1}$. We prove that in
contrast to the deterministic set-up the trajectories of the random dynamical
system almost surely converge to one of the vertices of the simplex $S^{m-1}$
implying the survival of only one species. We also show that the minimal random
point attractor of the system equals the set of all vertices. The convergence
proof relies on a martingale-type limit theorem which we prove in the appendix.


title:
Square Function Estimates in Spaces of Homogeneous Type and on Uniformly
  Rectifiable Euclidean Sets

abstract:
  We announce a local $T(b)$ theorem, an inductive scheme, and $L^p$
extrapolation results for $L^2$ square function estimates related to the
analysis of integral operators that act on Ahlfors-David regular sets of
arbitrary codimension in ambient quasi-metric spaces. The inductive scheme is a
natural application of the local $T(b)$ theorem and it implies the stability of
$L^2$ square function estimates under the so-called big pieces functor. In
particular, this analysis implies $L^p$ and Hardy space square function
estimates for integral operators on uniformly rectifiable subsets of the
Euclidean space.


title:
Analysis of Compatible Discrete Operator Schemes for the Stokes
  Equations on Polyhedral Meshes

abstract:
  Compatible Discrete Operator schemes preserve basic properties of the
continuous model at the discrete level. They combine discrete differential
operators that discretize exactly topological laws and discrete Hodge operators
that approximate constitutive relations. We devise and analyze two families of
such schemes for the Stokes equations in curl formulation, with the pressure
degrees of freedom located at either mesh vertices or cells. The schemes ensure
local mass and momentum conservation. We prove discrete stability by
establishing novel discrete Poincar\'e inequalities. Using commutators related
to the consistency error, we derive error estimates with first-order
convergence rates for smooth solutions. We analyze two strategies for
discretizing the external load, so as to deliver tight error estimates when the
external load has a large irrotational or divergence-free part. Finally,
numerical results are presented on three-dimensional polyhedral meshes.


title:
Random Aharonov-Bohm vortices and some exact families of integrals: Part
  III

abstract:
  As a sequel to [1] and [2], I present some recent progress on Bessel
integrals $\int_0^{\infty}{\rmd u}\; uK_0(u)^{n}$, $\int_0^{\infty}{\rmd u}\;
u^{3}K_0(u)^{n}$, ... where the power of the integration variable is odd and
where $n$, the Bessel weight, is a positive integer. Some of these integrals
for weights n=3 and n=4 are known to be intimately related to the zeta numbers
zeta(2) and zeta(3). Starting from a Feynman diagram inspired representation in
terms of n dimensional multiple integrals on an infinite domain, one shows how
to partially integrate to n-2 dimensional multiple integrals on a finite
domain. In this process the Bessel integrals are shown to be periods.
Interestingly enough, these "reduced" multiple integrals can be considered in
parallel with some simple integral representations of zeta numbers. One also
generalizes the construction of [2] on a particular sum of double nested Bessel
integrals to a whole family of double nested integrals. Finally a strong PSLQ
numerical evidence is shown to support a surprisingly simple expression of
zeta(5) as a linear combination with rational coefficients of Bessel integrals
of weight n= 8.


title: F-theory on Genus-One Fibrations

abstract:
  We argue that M-theory compactified on an arbitrary genus-one fibration, that
is, an elliptic fibration which need not have a section, always has an F-theory
limit when the area of the genus-one fiber approaches zero. Such genus-one
fibrations can be easily constructed as toric hypersurfaces, and various
$SU(5)\times U(1)^n$ and $E_6$ models are presented as examples. To each
genus-one fibration one can associate a $\tau$-function on the base as well as
an $SL(2,\mathbb{Z})$ representation which together define the IIB axio-dilaton
and 7-brane content of the theory. The set of genus-one fibrations with the
same $\tau$-function and $SL(2,\mathbb{Z})$ representation, known as the
Tate-Shafarevich group, supplies an important degree of freedom in the
corresponding F-theory model which has not been studied carefully until now.
  Six-dimensional anomaly cancellation as well as Witten's zero-mode count on
wrapped branes both imply corrections to the usual F-theory dictionary for some
of these models. In particular, neutral hypermultiplets which are localized at
codimension-two fibers can arise. (All previous known examples of localized
hypermultiplets were charged under the gauge group of the theory.) Finally, in
the absence of a section some novel monodromies of Kodaira fibers are allowed
which lead to new breaking patterns of non-Abelian gauge groups.


title:
Dust in Protoplanetary Disks: A Clue as to the Critical Mass of
  Planetary Cores

abstract:
  Dust in protoplanetary disks is recognized as the building blocks of planets.
In the core accretion scenario, the abundance of dust in disks (or metallicity)
is crucial for forming cores of gas giants. We present our recent progress on
the relationship between the metallicity and planet formation, wherein planet
formation frequencies (PFFs) as well as the critical mass of planetary cores
($M_{c,crit}$) that can initiate gas accretion are statistically examined. We
focus on three different planetary populations that are prominent for observed
exoplanets in the mass-semimajor axis diagram: hot Jupiters, exo-Jupiters that
are densely populated around 1 AU, and low-mass planets in tight orbits. We
show that the resultant PFFs for both Jovian planets are correlated positively
with the metallicity whereas low-mass planets form efficiently for a wide range
of metallicities. This is consistent with the observed Planet-Metallicity
correlation. Examining the statistically averaged value of $M_{c,crit}$
(defined as $<M_{c,crit}>$), we find that the correlation originates from the
behavior of $<M_{c,crit}>$ that increases steadily with metallicity for two
kinds of the Jovian planets while the low-mass planets obtain a rather constant
value for $<M_{c,crit}>$. Such a difference in $<M_{c,crit}>$ can define
transition metallicities (TMs) above which the Jovian planets gain a larger
value of $<M_{c,crit}>$ than the low-mass planets, and hence gas giant
formation takes place more efficiently. We find that TMs are sensitive to the
important parameter that involves $M_{c,crit}$. We show, by comparing with the
observations, that a most likely value of $M_{c,crit}$ is $\simeq 5M_{\oplus}$,
which is smaller than the conventional value in the literature ($\simeq
10M_{\oplus}$). Our results suggest that opacities in planetary atmospheres
play an important role for lowering $M_{c,crit}$.


title: Optimal power control in Cognitive MIMO systems with limited feedback

abstract:
  In this paper, the problem of optimal power allocation in Cognitive Radio
(CR) Multiple Input Multiple Output (MIMO) systems is treated. The focus is on
providing limited feedback solutions aiming at maximizing the secondary system
rate subject to a constraint on the average interference caused to primary
communication. The limited feedback solutions are obtained by reducing the
information available at secondary transmitter (STx) for the link between STx
and the secondary receiver (SRx) as well as by limiting the level of available
information at STx that corresponds to the link between the STx and the primary
receiver PRx. Monte Carlo simulation results are given that allow to quanitfy
the performance achieved by the proposed algorithms.


title:
High-precision percolation thresholds and Potts-model critical manifolds
  from graph polynomials

abstract:
  The critical curves of the q-state Potts model can be determined exactly for
regular two-dimensional lattices G that are of the three-terminal type.
Jacobsen and Scullard have defined a graph polynomial P_B(q,v) that gives
access to the critical manifold for general lattices. It depends on a finite
repeating part of the lattice, called the basis B, and its real roots in the
temperature variable v = e^K - 1 provide increasingly accurate approximations
to the critical manifolds upon increasing the size of B. These authors computed
P_B(q,v) for large bases (up to 243 edges), obtaining determinations of the
ferromagnetic critical point v_c > 0 for the (4,8^2), kagome, and (3,12^2)
lattices to a precision (of the order 10^{-8}) slightly superior to that of the
best available Monte Carlo simulations.
  In this paper we describe a more efficient transfer matrix approach to the
computation of P_B(q,v) that relies on a formulation within the periodic
Temperley-Lieb algebra. This makes possible computations for substantially
larger bases (up to 882 edges), and the precision on v_c is hence taken to the
range 10^{-13}. We further show that a large variety of regular lattices can be
cast in a form suitable for this approach. This includes all Archimedean
lattices, their duals and their medials. For all these lattices we tabulate
high-precision estimates of the bond percolation thresholds p_c and Potts
critical points v_c. We also trace and discuss the full Potts critical manifold
in the (q,v) plane, paying special attention to the antiferromagnetic region v
< 0. Finally, we adapt the technique to site percolation as well, and compute
the polynomials P_B(p) for certain Archimedean and dual lattices (those having
only cubic and quartic vertices), using very large bases (up to 243 vertices).
This produces the site percolation thresholds p_c to a precision of the order
10^{-9}.


title:
Realizing three generations of the Standard Model fermions in the type
  IIB matrix model

abstract:
  We discuss how the Standard Model particles appear from the type IIB matrix
model, which is considered to be a nonperturbative formulation of superstring
theory. In particular, we are concerned with a constructive definition of the
theory, in which we start with finite-N matrices and take the large-N limit
afterwards. In that case, it was pointed out recently that realizing chiral
fermions in the model is more difficult than it had been thought from formal
arguments at N=infinity and that introduction of a matrix version of the warp
factor is necessary. Based on this new insight, we show that two generations of
the Standard Model fermions can be realized by considering a rather generic
configuration of fuzzy S^2 and fuzzy S^2 * S^2 in the extra dimensions. We also
show that three generations can be obtained by squashing one of the S^2's that
appear in the configuration. Chiral fermions appear at the intersections of the
fuzzy manifolds with nontrivial Yukawa couplings to the Higgs field, which can
be calculated from the overlap of their wave functions.


title: Simulation of motional averaging using a superconducting circuit

abstract:
  The possibility of using a quantum system to simulate another one has been
recognized for a long time as an important research direction in quantum
information and quantum computing. In Ref. [J. Li et. al, Nat. Commun. 4, 1420
(2013)], a superconducting circuit (a transmon) was employed to simulate a NMR
(nuclear magnetic resonance) effect known as motional averaging. In this paper
we analyze the results of numerical integration of the time evolution of the
density matrix of a qubit with random frequency fluctuations, and compare the
results with those obtained by using the method of quantum trajectories. We
show that both methods produce equivalent results, although some differences
may appear in the range of intermediate modulation frequencies.


title: Asymptotic proportion of arbitrage points in fractional binary markets

abstract:
  A fractional binary market is an approximating sequence of binary models for
the fractional Black-Scholes model, which Sottinen constructed by giving an
analogue of the Donsker's theorem. In a binary market the arbitrage condition
can be expressed as a condition on the nodes of a binary tree. We call
"arbitrage points" the points in the binary tree which verify such an arbitrage
condition and "arbitrage paths" the paths in the binary tree which cross at
least one arbitrage point. Using this terminology, a binary market admits
arbitrage if and only if there is at least one arbitrage point in the binary
tree or equivalently if there is at least one arbitrage path. Following the
lines of Sottinen, who showed that the arbitrage persists in the fractional
binary market, we further prove that starting from any point in the tree, we
can reach an arbitrage point. This implies that, in the limit, there is an
infinite number of arbitrage points. Next, we provide an in-depth analysis of
the asymptotic proportion of arbitrage points at asymptotic levels and of
arbitrage paths in the fractional binary market. All these results are obtained
by studying a rescaled disturbed random walk. We moreover show that, when $H$
is close to $1$, with probability $1$ a path in the binary tree crosses an
infinite number of arbitrage points. In particular, for such $H$, the
asymptotic proportion of arbitrage paths is equal to $1$.


title: Short gamma ray bursts: formation and offsets

abstract:
  Short gamma ray bursts have been observed a variety of galaxies types with
varying angular offsets from the centre of their host galaxies. To investigate
the properties of short gamma ray burst offsets, a sample of short gamma ray
bursts with host galaxies has been gathered. Two formation channels proposed to
explain the observed offsets of short gamma ray bursts from their host galaxies
are discussed. The classification of short gamma ray bursts into these
formation channels is demonstrated for short gamma ray bursts with host
galaxies. The possibility of faint dwarf galaxies as host environments for the
observed short gamma ray bursts is also investigated. However, by extrapolating
the distribution of dwarf galaxies around the Milky Way to redshifts
corresponding to the short gamma ray bursts, we show that it is unlikely that
dwarf galaxies are the hosts of short gamma ray bursts.


title: Controlled Algebra for Simplicial Rings and Algebraic K-theory

abstract:
  We develop a version of controlled algebra for simplicial rings. This
generalizes the methods which lead to successful proofs of the algebraic K-
theory isomorphism conjecture (Farrell-Jones Conjecture) for a large class of
groups. This is the first step to prove the algebraic K-theory isomorphism
conjecture for simplicial rings. We construct a category of controlled
simplicial modules, show that it has the structure of a Waldhausen category and
discuss its algebraic K-theory.
  We lay emphasis on detailed proofs. Highlights include the discussion of a
simplicial cylinder functor, the gluing lemma, a simplicial mapping telescope
to split coherent homotopy idempotents, and a direct proof that a weak
equivalence of simplicial rings induces an equivalence on their algebraic
K-theory. Because we need a certain cofinality theorem for algebraic K-theory,
we provide a proof and show that a certain assumption, sometimes omitted in the
literature, is necessary. Last, we remark how our setup relates to ring
spectra.


title:
Revealing multiple density wave orders in non-superconducting titanium
  oxypnictide Na$_2$Ti$_2$As$_2$O

abstract:
  We report an optical spectroscopy study on the single crystal of
Na$_2$Ti$_2$As$_2$O, a sister compound of superconductor BaTi$_2$Sb$_2$O. The
study reveals unexpectedly two density wave phase transitions. The first
transition at 320 K results in the formation of a large energy gap and removes
most part of the Fermi surfaces. But the compound remains metallic with
residual itinerant carriers. Below 42 K, another density wave phase transition
with smaller energy gap scale occurs and drives the compound into
semiconducting ground state. These experiments thus enable us to shed light on
the complex electronic structure in the titanium oxypnictides.


title: Describing units of integral group rings up to commensurability

abstract:
  We restrict the type of $2 \times 2$-matrices which can occur as simple
components in the Wedderburn decomposition of the rational group algebra of a
finite group. This results in a description up to commensurability of the group
of units of the integral group ring $\mathbb Z G$ for all finite groups $G$
that do not have a non-commutative Frobenius complement as a quotient.


title:
Second-order homogenization of periodic materials based on asymptotic
  approximation of the strain energy: formulation and validity limits

abstract:
  In this paper a second-order homogenization approach for periodic material is
derived from an appropriate representation of the down-scaling that correlates
the microdisplacement field to the macro-displacement field and the
macro-strain tensors involving unknown perturbation functions. These functions
take into account of the effects of the heterogeneities and are obtained by the
solution of properly defined recursive cell problems. Moreover, the
perturbation functions and therefore the micro-displacement fields result to be
sufficiently regular to guarantee the anti-periodicity of the traction on the
periodic unit cell. A generalization of the macro-homogeneity condition is
obtained through an asymptotic expansion of the mean strain energy at the
micro-scale in terms of the microstructural characteristic size e; the obtained
overall elastic moduli result to be not affected by the choice of periodic
cell. The coupling between the macro- and microstress tensor in the periodic
cell is deduced from an application of the generalised macrohomogeneity
condition applied to a representative portion of the heterogeneous material
(cluster of periodic cell). The correlation between the proposed asymptotic
homogenization approach and the computational second-order homogenization
methods is obtained through an approximation of the macrodisplacement field
based on a second-order Taylor expansion. The form of the overall elastic
moduli obtained through the two homogenization approaches, here proposed, is
analyzed and the differences are highlighted.