title:
Giant enhancement of spin detection sensitivity in (Ga,Mn)As/GaAs Esaki
  diodes

abstract:
  We investigate the correlation between spin signals measured in
three-terminal (3T) geometry by the Hanle effect and the spin accumulation
generated in a semiconductor channel in a lateral (Ga,Mn)As/GaAs Esaki diode
device. We systematically compare measurements using a 3T configuration,
probing spin accumulation directly beneath the injecting contact, with results
from nonlocal measurements, where solely spin accumulation in the GaAs channel
is probed. We find that the spin signal detected in the 3T configuration is
dominated by a bias-dependent spin detection sensitivity, which in turn is
strongly correlated with charge-transport properties of the junction. This
results in a particularly strong enhancement of the detected spin signal in a
region of increased differential resistance. We find additionally that two-step
tunneling via localized states (LS) in the gap of (Ga,Mn)As does not compromise
spin injection into the semiconductor conduction band.


title: Laboratory studies of THGEM-based WELL structures with resistive anodes

abstract:
  In this work we investigate three variants of single amplification-stage
detector elements; they comprise THGEM electrodes closed at their bottom with
metallic or resistive anodes to form WELL-type configurations. We present the
results of a comparative study of the Thick-WELL (THWELL), Resistive-WELL
(RWELL) and Segmented Resistive WELL (SRWELL), focusing on their performance in
terms of spark-quenching capability, gain variation with position and counting
rate, pulse shapes and signal propagation to neighboring readout pads; the
study included both 30x30 and 100x100 mm$^2$ detectors. It was shown that the
WELL structures with resistive anodes offer stable operation even in a highly
ionizing environment, with effective spark quenching, as well as higher gain
than the standard THGEM/induction-gap configuration. Cross talk between
neighboring readout pads was shown to be effectively eliminated in the
segmented detector with a conductive grid underneath the resistive layer. The
latter multiplier should allow for the design of very thin detectors, e.g.
sampling elements in digital hadronic calorimeters planned for experiments in
future linear colliders.


title:
Long range universal quantum computation in large-size coupled cavity
  array independent of cavity number

abstract:
  We present a new approach for implementing a $\sqrt{\rm swap}$ gate between
two spatially far apart sites connected by a large-size coupled cavity array as
quantum bus. The duration is only related to the parity of cavity number but
independent of a specific number of cavity, thus it is possible to process
quantum information in an arbitrary long distance in principle without time
varied. Referring to the recent experimental progresses on coupled-cavity
array, we also make an assessment of the scalability and take the cavity number
$N$ = 5 as an example to illustrate the robustness of our proposal via quantum
process tomography.


title: Higher Spin Currents in the Holographic N=1 Coset Minimal Model

abstract:
  In the N=1 supersymmetric coset minimal model based on (B_N^{(1)} \oplus
D_N^{(1)}, D_N^{(1)}) at level (k,1) studied recently, the standard N=1 super
stress tensor of spins (3/2,2) is reviewed. By considering the stress tensor in
the coset (B_N^{(1)}, D_N^{(1)}) at level k, the higher spin-2' Casimir current
was obtained previously. By acting the above spin-3/2 current on the higher
spin-2' Casimir current, its superpartner, the higher spin-5/2 current, can be
generated and combined as the first higher spin supercurrent with spins (2',
5/2). By calculating the operator product expansions (OPE) between the higher
spin supercurrent and itself, the next higher spin supercurrent can be
generated with spins (7/2,4). Moreover, the other higher spin supercurrent with
spins (4',9/2) can be generated by calculating the OPE between the first higher
spin supercurrent with spins (2', 5/2) and the second higher spin supercurrent
with spins (7/2,4). Finally, the higher spin supercurrent, (11/2,6), can be
extracted from the right hand side of OPE between the higher spin
supercurrents, (2', 5/2) and (4', 9/2).


title: Extending complex Langevin simulations to full QCD at nonzero density

abstract:
  Simulations of full QCD at nonzero baryon density using light quark masses
are presented. The sign problem is evaded by the usage of the complex Langevin
equation. The simulations are stabilized by the gauge cooling procedure for
small lattice spacings. The method allows simulations at high densities, up to
the saturation. The sign average is measured in the full as well as the
phasequenched theory. Results are compared to the HQCD approach, in which the
spatial hopping terms of fermionic variables are dropped, and good agreement is
found at large masses.


title:
Imaging VLBI polarimetry data from Active Galactic Nuclei using the
  Maximum Entropy Method

abstract:
  Mapping the relativistic jets emanating from AGN requires the use of a
deconvolution algorithm to account for the effects of missing baseline
spacings. The CLEAN algorithm is the most commonly used algorithm in VLBI
imaging today and is suitable for imaging polarisation data. The Maximum
Entropy Method (MEM) is presented as an alternative with some advantages over
the CLEAN algorithm, including better spatial resolution and a more rigorous
and unbiased approach to deconvolution. We have developed a MEM code suitable
for deconvolving VLBI polarisation data. Monte Carlo simulations investigating
the performance of CLEAN and the MEM code on a variety of source types are
being carried out. Real polarisation (VLBA) data taken at multiple wavelengths
have also been deconvolved using MEM, and several of the resulting polarisation
and Faraday rotation maps are presented and discussed.


title: Evidence for shape coexistence in $^{98}$Mo

abstract:
  A $\gamma\gamma$ angular correlation experiment has been performed to
investigate the low-energy states of the nucleus $^{98}$Mo. The new data,
including spin assignments, multipole mixing ratios and lifetimes reveal
evidence for shape coexistence and mixing in $^{98}$Mo, arising from a proton
intruder configuration. This result is reproduced by a theoretical calculation
within the proton-neutron interacting boson model with configuration mixing,
based on microscopic energy density functional theory. The microscopic
calculation indicates the importance of the proton particle-hole excitation
across the Z=40 sub-shell closure and the subsequent mixing between spherical
vibrational and the $\gamma$-soft equilibrium shapes in $^{98}$Mo.


title:
Quantifying Environmental Effects on the Decay of Hole Transfer
  Couplings in Biosystems

abstract:
  In the past two decades, many research groups worldwide have tried to
understand and categorize simple regimes in the charge transfer of such
biological systems as DNA. Theoretically speaking, the lack of exact theories
for electron-nuclear dynamics on one side, and poor quality of the parameters
needed by model Hamiltonians and nonadiabatic dynamics alike (such as couplings
and site energies) on the other, are the two main difficulties for an
appropriate description of the charge transfer phenomena. In this work, we
present an application of a previously benchmarked and linear-scaling subsystem
DFT method for the calculation of couplings, site energies and superexchange
decay factors ($\beta$) of several biological donor-acceptor dyads, as well as
double stranded DNA oligomers comprised of up to 5 base pairs. The calculations
are all-electron, and provide a clear view of the role of the environment on
superexchange couplings in DNA - they follow experimental trends and confirm
previous semiempirical calculations. The subsystem DFT method is proven to be
an excellent tool for long-range, bridge-mediated coupling and site energy
calculations of embedded molecular systems.


title:
Anisotropy parameters in two-colour two-photon above threshold
  ionization

abstract:
  We employ the time-dependent R-Matrix (TDRM) method to calculate anisotropy
parameters for positive and negative sidebands of selected harmonics generated
by two-color two-photon above threshold ionization of argon. We consider odd
harmonics of an 800 nm field ranging from the 13th to 19th harmonic, overlapped
by a fundamental 800 nm IR field. The anisotropy parameters obtained using the
TDRM method are compared with those obtained using a second order perturbation
theory with a model potential (MP) approach and a soft photon approximation
(SPA) approach. Where available, a comparison is also made to published
experimental results. All three theoretical approaches provide similar values
for anisotropy parameters. The TDRM approach obtains values that are closest to
published experimental values. At high photon energies, the differences between
each of the theoretical methods become less significant.


title:
Functional Renormalization Group for multi-orbital Fermi Surface
  Instabilities

abstract:
  Technological progress in material synthesis, as well as artificial
realization of condensed matter scenarios via ultra-cold atomic gases in
optical lattices or epitaxial growth of thin films, is opening the gate to
investigate a plethora of unprecedented strongly correlated electron systems.
In a large subclass thereof, a metallic state of layered electrons undergoes an
ordering transition below some temperature into unconventional states of matter
driven by electronic correlations, such as magnetism, superconductivity, or
other Fermi surface instabilities. While this type of phenomena has been a
well-established direction of research in condensed matter for decades, the
variety of today's accessible scenarios pose fundamental new challenges to
describe them. A core complication is the multi-orbital nature of the
low-energy electronic structure of these systems, such as the multi-d orbital
nature of electrons in iron pnictides and transition-metal oxides in general,
but also electronic states of matter on lattices with multiple sites per unit
cell such as the honeycomb or kagome lattice. In this review, we propagate the
functional renormalization group (FRG) as a suited approach to investigate
multi-orbital Fermi surface instabilities. The primary goal of the review is to
describe the FRG in explicit detail and render it accessible to everyone both
at a technical and intuitive level. Summarizing recent progress in the field of
multi-orbital Fermi surface instabilities, we illustrate how the unbiased
fashion by which the FRG treats all kinds of ordering tendencies guarantees an
adequate description of electronic phase diagrams and often allows to obtain
parameter trends of sufficient accuracy to make qualitative predictions for
experiments. This review includes detailed and illustrative illustrations of
magnetism and, in particular, superconductivity for the iron pnictides from the
viewpoint of FRG. Furthermore, it discusses candidate scenarios for topological
bulk singlet superconductivity and exotic particle-hole condensates on
hexagonal lattices such as sodium-doped cobaltates, graphene doped to van Hove
Filling, and the kagome Hubbard model. In total, the FRG promises to be one of
the most versatile and revealing numerical approaches to address unconventional
Fermi surface instabilities in future fields of condensed matter research.


title:
Next-to-leading order QCD corrections to $HZW^{\pm}$ production at 14
  TeV LHC

abstract:
  Since the precise study of Higgs gauge couplings is important to test the
Standard Model (SM), we calculate the complete next-to-leading order QCD(NLO
QCD) correction to the $pp \to HZW^{\pm}$ production in the SM at 14 TeV LHC.
Our results show that the NLO QCD correction can enhance the leading-order
cross section of $pp \to HZW^{\pm}$ by 45%, when $ m_H $ = 125.3 GeV. We also
study the dependence of the LO and NLO corrected cross sections on the
renormalization and factorization scale $\mu$. Besides, due to the unbalance of
parton distribution functions, we investigate the charge asymmetry of $W^{\pm}$
in the production of $pp\to HZW^{\pm}$, which can reach 32.94% for
$\mu=(m_H+m_Z+m_W)/2$ at 14 TeV LHC.


title:
Phase diagram of Ca$_{1-x}$Ce$_x$MnO$_3$ thin films studied by X-ray
  magnetic circular dichroism

abstract:
  In the perovskite-type Ca$_{1-x}$Ce$_{x}$MnO$_{3}$ (CCMO), one can control
the transport and magnetic properties through varying Ce content. In the case
of thin films, the properties can also be controlled by epitaxial strain from
the substrate through changing it such as YAlO$_{3}$ (YAO), NdAlO$_{3}$ (NAO),
and LaSrAlO$_{4}$ (LSAO). However, one cannot measure the magnetization of thin
films on NAO substrates by conventional magnetization measurements because of
the strong paramagnetic signals from the Nd$^{3+}$ ions. In order to eliminate
the influence of Nd$^{3+}$ and to identify magnetic phases of the CCMO thin
films, we have performed element-selective X-ray magnetic circular dichroism
(XMCD) measurements of the Mn 2{\it p} core level. By studying the anisotropy
of the XMCD intensity, we could unambiguously determine the magnetic phase
diagram of the CCMO thin films.


title:
Multiple re-encounter approach to radical pair reactions and the role of
  nonlinear master equations

abstract:
  We formulate a multiple-encounter model of the radical pair mechanism that is
based on a random coupling of the radical pair to a minimal model environment.
These occasional pulse-like couplings correspond to the radical encounters and
give rise to both dephasing and recombination. While this is in agreement with
the original model of Haberkorn and its extensions that assume additional
dephasing, we show how a nonlinear master equation may be constructed to
describe the conditional evolution of the radical pairs prior to the detection
of their recombination. We propose a nonlinear master equation for the
evolution of an ensemble of independently evolving radical pairs whose
nonlinearity depends on the record of the fluorescence signal. We also
reformulate Haberkorn's original argument on the physicality of reaction
operators using the terminology of quantum optics/open quantum systems. Our
model allows one to describe multiple encounters within the exponential model
and connects this with the master equation approach. We include hitherto
neglected effects of the encounters, such as a separate dephasing in the
triplet subspace, and predict potential new effects, such as Grover reflections
of radical spins, that may be observed if the strength and time of the
encounters can be experimentally controlled.


title: Studying the high x frontier with A Fixed-Target ExpeRiment at the LHC

abstract:
  The opportunities which are offered by a next generation and multi-purpose
fixed-target experiment exploiting the proton and lead LHC beams extracted by a
bent crystal are outlined. In particular, such an experiment can greatly
complement facilities with lepton beams by unraveling the partonic structure of
polarised and unpolarised nucleons and of nuclei, especially at large momentum
fractions.


title: Velocity profiles in strongly turbulent Taylor-Couette flow

abstract:
  We derive the velocity profiles in strongly turbulent Taylor-Couette flow for
the general case of independently rotating cylinders. The theory is based on
the Navier-Stokes equations in the appropriate (cylinder) geometry. In
particular, we derive the axial and the angular velocity profiles as functions
of distance from the cylinder walls and find that both follow a logarithmic
profile, with downwards-bending curvature corrections, which are more
pronounced for the angular velocity profile as compared to the axial velocity
profile, and which strongly increase with decreasing ratio $\eta$ between inner
and outer cylinder radius. In contrast, the azimuthal velocity does not follow
a log-law. We then compare the angular and azimuthal velocity profiles with the
recently measured profiles in the ultimate state of (very) large Taylor
numbers. Though the {\em qualitative} trends are the same -- down-bending for
large wall distances and (properly shifted and non-dimensionalized) angular
velocity profile $\omega^+(r)$ being closer to a log-law than (properly shifted
and non-dimensionalized) azimuthal velocity profile $u^+_{\varphi}(r)$ -- {\em
quantitative} deviations are found for large wall distances. We attribute these
differences to the Taylor rolls and the height dependence of the profiles,
neither of which are considered in the theoretical approach.


title: Extraordinary absorption of decorated undoped graphene

abstract:
  We theoretically study absorption by an undoped graphene layer decorated with
arrays of small particles. We discuss periodic and random arrays within a
common formalism, which predicts a maximum absorption of $50\%$ for suspended
graphene in both cases. The limits of weak and strong scatterers are
investigated and an unusual dependence on particle-graphene separation is found
and explained in terms of the effective number of contributing evanescent
diffraction orders of the array. Our results can be important to boost
absorption by single layer graphene due to its simple setup with potential
applications to light harvesting and photodetection based on energy (F\"orster)
rather than charge transfer.


title:
An upper limit on hypertriton production in collisions of Ar(1.76
  AGeV)+KCl

abstract:
  A high-statistic data sample of Ar(1.76 AGeV)+KCl events recorded with HADES
is used to search for a hypertriton signal. An upper production limit per
centrality-triggered event of $1.04$ x $10^{-3}$ on the $3\sigma$ level is
derived. Comparing this value with the number of successfully reconstructed
$\Lambda$ hyperons allows to determine an upper limit on the ratio
$N_{_{\Lambda}^3H}/N_{\Lambda}$, which is confronted with statistical and
coalescence-type model calculations.


title:
Gemini multi-conjugate adaptive optics system review I: Design,
  trade-offs and integration

abstract:
  The Gemini Multi-conjugate adaptive optics System (GeMS) at the Gemini South
telescope in Cerro Pach{\'o}n is the first sodium-based multi-Laser Guide Star
(LGS) adaptive optics system. It uses five LGSs and two deformable mirrors to
measure and compensate for atmospheric distortions. The GeMS project started in
1999, and saw first light in 2011. It is now in regular operation, producing
images close to the diffraction limit in the near infrared, with uniform
quality over a field of view of two square arcminutes. The present paper (I) is
the first one in a two-paper review of GeMS. It describes the system, explains
why and how it was built, discusses the design choices and trade-offs, and
presents the main issues encountered during the course of the project. Finally,
we briefly present the results of the system first light.


title:
Dynamics of One-dimensional Self-gravitating Systems Using
  Hermite-Legendre Polynomials

abstract:
  The current paradigm for understanding galaxy formation in the universe
depends on the existence of self-gravitating collisionless dark matter.
Modeling such dark matter systems has been a major focus of astrophysicists,
with much of that effort directed at computational techniques. Not
surprisingly, a comprehensive understanding of the evolution of these
self-gravitating systems still eludes us, since it involves the collective
nonlinear dynamics of many-particle systems interacting via long-range forces
described by the Vlasov equation. As a step towards developing a clearer
picture of collisionless self-gravitating relaxation, we analyze the linearized
dynamics of isolated one-dimensional systems near thermal equilibrium by
expanding their phase space distribution functions f(x,v) in terms of Hermite
functions in the velocity variable, and Legendre functions involving the
position variable. This approach produces a picture of phase-space evolution in
terms of expansion coefficients, rather than spatial and velocity variables. We
obtain equations of motion for the expansion coefficients for both
test-particle distributions and self-gravitating linear perturbations of
thermal equilibrium. N-body simulations of perturbed equilibria are performed
and found to be in excellent agreement with the expansion coefficient approach
over a time duration that depends on the size of the expansion series used.


title:
Spectroscopic investigation of local mechanical impedance of living
  cells

abstract:
  The mechanical properties of PC12 living cells have been studied at the
nanoscale with a Force Feedback Microscope using two experimental approaches.
Firstly, the local mechanical impedance of the cell membrane has been mapped
simultaneously to the cell morphology at constant force. As the force of the
interaction is gradually increased, we observed the appearance of the
sub-membrane cytoskeleton. We shall compare the results obtained with this
method with the measurement of other existing techniques. Secondly, a
spectroscopic investigation has been performed varying the indentation of the
tip in the cell membrane and consequently the force applied on it. In contrast
with conventional dynamic atomic force microscopy techniques, here the small
oscillation amplitude of the tip is not necessarily imposed at the cantilever
first eigenmode. This allows the user to arbitrarily choose the excitation
frequency in developing spectroscopic AFM techniques. The mechanical response
of the PC12 cell membrane is found to be frequency dependent in the 1 kHz - 10
kHz range. The damping coefficient is reproducibly observed to decrease when
the excitation frequency is increased.


title: Less than one implies zero

abstract:
  In this paper we show that from the estimate $\sup_{t \geq 0}\|C(t) -
\cos(at)I\| <1$ we can conclude that $C(t)$ equals $\cos(at) I$. Here
$\left(C(t)\right)_{t \geq 0}$ is a strongly continuous cosine family on a
Banach space.


title:
If vacuum energy can be negative, why is mass always positive?: Uses of
  the subdominant trace energy condition

abstract:
  Diverse calculations have shown that a relativistic field confined to a
cavity by well defined boundary conditions can have a negative Casimir or
vacuum energy. Why then can one not make a finite system with negative mass by
confining the field in a some way? We recall, and justify in detail, the not so
familiar subdominant trace energy condition for ordinary (baryon-electron
nonrelativistic) matter. With its help we show, in two ways, that the
mass-energy of the cavity structure necessary to enforce the boundary
conditions must exceed the magnitude of the negative vacuum energy, so that all
systems of the type envisaged necessarily have positive mass-energy.


title:
Magnetoelastic coupling induced magnetic anisotropy in Co$_2$(Fe/Mn)Si
  thin films

abstract:
  The influence of epitaxial strain on uniaxial magnetic anisotropy of
Co$_{2}$FeSi (CFS) and Co$_{2}$MnSi (CMS) Heusler alloy thin films grown on
(001) SrTiO$_3$ (STO) and MgO is reported. The in-plane biaxial strain is
susceptible to tune by varying the thickness of the films on STO, while on MgO
the films show in-plane easy axis for magnetization (\overrightarrow{M})
irrespective of their thickness. A variational analysis of magnetic free energy
functional within the Stoner-Wohlfarth coherent rotation model with
out-of-plane uniaxial anisotropy for the films on STO showed the presence of
magnetoelastic anisotropy with magnetostriction constant $\approx$
(12.22$\pm$0.07)$\times 10^{-6}$ and (2.02$\pm$0.06)$\times 10^{-6}$, in
addition to intrinsic magnetocrystalline anisotropy $\approx$ -1.72$\times
10^{6}$ erg/cm$^{3}$ and -3.94$\times 10^{6}$ erg/cm$^{3}$ for CFS and CMS,
respectively. The single-domain phase diagram reveals a gradual transition from
in-plane to out-of-plane orientation of magnetization with the decreasing film
thickness. A maximum canting angle of 41.5$^{\circ}$ with respect to film plane
is predicted for the magnetization of the thinnest (12 nm) CFS film on STO. The
distinct behaviour of \overrightarrow{M} in the films with lower thickness on
STO is attributed to strain-induced tetragonal distortion.


title:
Parameterized algorithm for weighted independent set problem in
  bull-free graphs

abstract:
  The maximum stable set problem is NP-hard, even when restricted to
triangle-free graphs. In particular, one cannot expect a polynomial time
algorithm deciding if a bull-free graph has a stable set of size $k$, when $k$
is part of the instance. Our main result in this paper is to show the existence
of an FPT algorithm when we parameterize the problem by the solution size $k$.
A polynomial kernel is unlikely to exist for this problem. We show however that
our problem has a polynomial size Turing-kernel. More precisely, the hard cases
are instances of size $O(k^5)$. As a byproduct, if we forbid odd holes in
addition to the bull, we show the existence of a polynomial time algorithm for
the stable set problem. We also prove that the chromatic number of a bull-free
graph is bounded by a function of its clique number and the maximum chromatic
number of its triangle-free induced subgraphs. All our results rely on a
decomposition theorem of bull-free graphs due to Chudnovsky which is modified
here, allowing us to provide extreme decompositions, adapted to our
computational purpose.


title: State estimation: direct state measurement vs. tomography

abstract:
  We compare direct state measurement (DST or weak state tomography) to
conventional state reconstruction (tomography) through accurate Monte-Carlo
simulations. We show that DST is surprisingly robust to its inherent bias. We
propose a method to estimate such bias (which introduces an unavoidable error
in the reconstruction) from the experimental data. As expected we find that DST
is much less precise than tomography. We consider both finite and
infinite-dimensional states of the DST pointer, showing that they provide
comparable reconstructions.


title:
Neutron scattering measurements of $dd$ and spin-orbit excitations below
  the Mott-Hubbard gap in CoO

abstract:
  Neutron scattering is used to investigate the single-ion spin and orbital
excitations below the Mott-Hubbard gap in CoO. Three excitations are reported
at 0.870 $\pm$ 0.009 eV, 1.84 $\pm$ 0.03, and 2.30 $\pm$ 0.15 eV. These were
parameterized within a weak crystal field scheme with an intra-orbital exchange
of $J(dd)$=1.3 $\pm$ 0.2 eV and a crystal field splitting 10Dq=0.94 $\pm$ 0.10
eV. A reduced spin-orbit coupling of \lambda=-0.016 $\pm$ 0.003 eV is derived
from dilute samples of Mg$_{0.97}$Co$_{0.03}$O, measured to remove
complications due to spin exchange and structural distortion parameters which
split the cubic phase degeneracy of the orbital excitations complicating the
inelastic spectrum. The 1.84 eV, while reported using resonant x-ray and
optical techniques, was absent or weak for non resonant x-ray experiments and
overlaps with the expected position of a $^{4}A_{2}$ level. This transition is
absent in the dipolar approximation but expected to have a finite quadrupolar
matrix element that can be observed with neutron scattering techniques at
larger momentum transfers. Our results agree with a crystal field analysis (in
terms of Racah parameters and Tanabe-Sugano diagrams) and with previous
calculations performed using local-density band theory for Mott insulating
transition metal oxides. The results also demonstrate the use of neutron
scattering for measuring dipole forbidden transitions in transition metal oxide
systems.


title: Enumeration of one class of plane weighted trees

abstract:
  By weighted tree we understand such connected tree,that: a) each its vertex
and each edge have a positive integer weight; b) the weight of each vertex is
equal to the sum of weights of outgoing edges. Each tree has a binary structure
--- we can color its vertices in two colors, black and white so, that adjacent
vertices have different colors. A type is a set of pairwise non-isotopic plane
weighted trees with a given list of weights of white vertices and a given list
of weights of black vertices. In this work we present a method for computing
the cardinality of a given type.


title: Toward a hybrid dynamo model for the Milky Way

abstract:
  (Abridged) Based on the rapidly increasing all-sky data of Faraday rotation
measures and polarised synchrotron radiation, the Milky Way's magnetic field is
now modelled with an unprecedented level of detail and complexity. We aim to
complement this heuristic approach with a physically motivated, quantitative
Galactic dynamo model -- a model that moreover allows for the evolution of the
system as a whole, instead of just solving the induction equation for a fixed
static disc. Building on the framework of mean-field magnetohydrodynamics and
extending it to the realm of a hybrid evolution, we perform three-dimensional
global simulations of the Galactic disc. Closure coefficients embodying the
mean-field dynamo are calibrated against resolved box simulations of
supernova-driven interstellar turbulence. The emerging dynamo solutions
comprise a mixture of the dominant axisymmetric S0 mode, with even parity, and
a subdominant A0 mode, with odd parity. Notably, such a superposition of modes
creates a strong localised vertical field on one side of the Galactic disc. We
moreover find significant radial pitch angles, which decay with radius --
explained by flaring of the disc. In accordance with previous work, magnetic
instabilities appear to be restricted to the less-stirred outer Galactic disc.
Their main effect is to create strong fields at large radii such that the
radial scale length of the magnetic field increases from 4 kpc (for the case of
a mean-field dynamo alone) to about 10 kpc in the hybrid models. There remain
aspects (e.g., spiral arms, X-shaped halo fields, fluctuating fields) that are
not captured by the current model and that will require further development
towards a fully dynamical evolution. Nevertheless, the work presented
demonstrates that a hybrid modelling of the Galactic dynamo is feasible and can
serve as a foundation for future efforts.


title:
Finetuning the continuum limit in low-dimensional supersymmetric
  theories

abstract:
  Supersymmetry is a prominent candidate for physics beyond the standard model.
In order to compute the spectrum of supersymmetric theories, we employ
nonperturbative lattice QFT techniques which due to the discretisation of
spacetime violate supersymmetry at finite lattice spacings. Care has to be
taken then to restore supersymmetry in the continuum limit. We discuss a
discretisation of the supersymmetric Nonlinear O(N) Sigma model in two
dimensions and argue that supersymmetry may be restored by finetuning of a
single parameter. Furthermore, we show preliminary results for the vacuum
physics of N = 2 Super-Yang-Mills theory in three dimensions.


title: Crystal $\Bla$ in $B(\infty)$ for $G_2$ type Lie Algebra

abstract:
  A previous work gave a combinatorial description of the crystal $B(\infty)$,
in terms of certain simple Young tableaux referred to as the marginally large
tableaux, for finite dimensional simple Lie algebras. Using this result, we
present an explicit description of the crystal $B(\lambda)$, in terms of the
marginally large tableaux, for the $G_2$ Lie algebra type. We also provide a
new description of $B(\la)$, in terms of Nakajima monomials, that is in natural
correspondence with our tableau description.


title:
Some Computations in Equivariant cobordism in relation to Milnor
  manifolds

abstract:
  Let $\mathcal{N}_*$ be the unoriented cobordism algebra, let $G=(\Z_2)^n$ and
let $Z_*(G)$ denote the equivariant cobordism algebra of $G$-manifolds with
finite stationary point sets. Let $\epsilon_* :Z_*(G) \to \mathcal{N}_*$ be the
homomorphism which forgets the $G$-action. We use Milnor manifolds (degree 1
hypersurfaces in $\R P^m\times \R P^n$) to construct non-trivial elements in
$Z_*(G)$. We prove that these elements give rise to indecomposable elements in
$Z_*(G)$ in degrees up to $2^n - 5$. Moreover, in most cases these elements can
be arranged to be in $\mathit{Ker}(\epsilon_*)$.


title:
Competition and cooperation between antiferrodistortive and
  ferroelectric instabilities in SrTiO$_3$

abstract:
  We use density functional theory to explore the interplay between octahedral
rotations and ferroelectricity in the model compound SrTiO$_3$. We find that
over the experimentally relevant range octahedral rotations suppress
ferroelectricity as is generally assumed in the literature. Somewhat
surprisingly we observe that at larger angles the previously weakened
ferroelectric instability strengthens significantly. By analysing geometry
changes, energetics, force constants and charges, we explain the mechanisms
behind this transition from competition to cooperation with increasing
octahedral rotation angle.


title:
Understanding Collective Dynamics of Soft Active Colloids by Binary
  Scattering

abstract:
  Collective motion in actively propelled particle systems is triggered on the
very local scale by nucleation of coherently moving units consisting of just a
handful of particles. These units grow and merge over time, ending up in a
long-range ordered, coherently-moving state. So far, there exists no bottom-up
understanding of how the microscopic dynamics and interactions between the
constituents are related to the system's ordering instability. In this paper,
we study a class of models for propelled colloids allowing an explicit
treatment of the microscopic details of the collision process. Specifically,
the model equations are Newtonian equations of motion with separate force terms
for particles' driving, dissipation and interaction forces. Focusing on dilute
particle systems, we analyze the binary scattering behavior for these models,
and determine-based on the microscopic dynamics-the corresponding
collision-rule, i.e., the mapping of pre-collisional velocities and impact
parameter on post-collisional velocities. By studying binary scattering we also
find that the considered models for active colloids share the same principle
for parallel alignment: the first incoming particle (with respect to the center
of collision) is aligned to the second particle as a result of the encounter.
This behavior is distinctively different to alignment in non-driven dissipative
gases. Moreover, the obtained collision rule lends itself as a starting point
to apply kinetic theory for propelled particle systems in order to determine
the phase boundary to a long-range ordered, coherently-moving state. The
microscopic origin of the collision rule offers the opportunity to
quantitatively scrutinize the predictions of kinetic theory for propelled
particle systems through direct comparison with multi-particle simulations.


title: Hamiltonian Theory of Anisotropic Fractional Quantum Hall States

abstract:
  Rotationally invariant fractional quantum Hall (FQH) states have long been
understood in terms of composite bosons or composite fermions. Recent
investigations of both incompressible and compressible states in highly tilted
fields, which renders them anisotropic, have revealed puzzling features which
have so far defied quantitative explanation. The author's work with R. Shankar
in constructing and analyzing an operator-based theory in the rotationally
invariant FQHE is generalized here to the anisotropic case. We compute the
effective anisotropies of many principal fraction states in the lowest and the
first Landau levels and find good agreement with previous theoretical results.
We compare the effective anisotropy in a model potential with finite sample
thickness and find good agreement with experimental results.


title:
Quantum Harmonic Black Holes (Proceeding of the Karl Schwarzschild
  Meeting 2013)

abstract:
  Inspired by the recent conjecture that black holes are condensates of
gravitons, we investigate a simple model for the black hole degrees of freedom
that is consistent both from the point of view of Quantum mechanics and of
General Relativity. Since the two perspectives should "converge" into a unified
picture for small, Planck size, objects, we expect our construction is a useful
step for understanding the physics of microscopic, quantum black holes. In
particular, we show that a harmonically trapped condensate gives rise to two
horizons, whereas the extremal case (corresponding to a remnant with vanishing
Hawking temperature) is not contained in the spectrum.


title: Star-Forming Regions in Dwarf Galaxies of the Local Volume

abstract:
  We present the H-alpha flux measurements for 44 nearby dwarf galaxies,
derived from the observations at the 6-m BTA telescope. H-alpha fluxes were
used to determine the rate of integral star formation of galaxies, SFR. For the
observed galaxies the value of log SFR lies in the range from 0 to -8 M_sun/yr.
The specific star formation rate for all the sample galaxies does not exceed
the limit of log SSFR=-9.2 yr^{-1}. A burst of star formation was detected in
the center of a nearby dwarf galaxy UGC 2172.


title: The Effect of Cancellation in Neutrinoless Double Beta Decay

abstract:
  In light of recent experimental results, we carefully analyze the effects of
interference in neutrinoless double beta decay, when more than one mechanism is
operative. We assume a complete cancellation is at work for $^{136}\rm{Xe}$,
and find its implications on the half-life of other isotopes, such as
$^{76}\rm{Ge}$. For definiteness, we consider the role of light and heavy
sterile neutrinos. In this case, the effective Majorana mass parameter can be
redefined to take into account all contributions and its value gets suppressed.
Hence, larger values of neutrino masses are required for the same half-life.
The canonical light neutrino contribution can not saturate the present limits
of half-lives or the positive claim of observation of neutrinoless double beta
decay, once the stringent bounds from cosmology are taken into account. For the
case of cancellation, where all the sterile neutrinos are heavy, the tension
between the results from neutrinoless double beta decay and cosmology becomes
more severe. We show that the inclusion of light sterile neutrinos in this set
up can resolve this issue. Using the recent results from GERDA, we derive upper
limits on the active-sterile mixing angles and compare it with the case of no
cancellation. The required values of the mixing angles become larger, if a
cancellation is at work. A direct test of destructive interference in
$^{136}\rm{Xe}$ is provided by the observation of this process in other
isotopes and we study in detail the correlation between their half-lives.
Finally, we discuss the model realizations which can accommodate light and
heavy sterile neutrinos and the cancellation. We show that sterile neutrinos of
few hundred MeV or GeV mass range, coming from an Extended seesaw framework or
a further extension, can satisfy the required cancellation.


title: The number of varieties in a family which contain a rational point

abstract:
  We consider the problem of counting the number of varieties in a family over
a number field which contain a rational point. In particular, for products of
Brauer-Severi varieties and closely related counting functions associated to
Brauer group elements. Using harmonic analysis on toric varieties, we provide a
positive answer to a question of Serre on such counting functions in some
cases. We also formulate some conjectures on generalisations of Serre's
problem.


title:
Description of the translation-invariant splitting Gibbs measures for
  the Potts model on a Cayley tree

abstract:
  For the $q$-state Potts model on a Cayley tree of order $k\geq 2$ it is
well-known that at sufficiently low temperatures there are at least $q+1$
translation-invariant Gibbs measures which are also tree-indexed Markov chains.
Such measures are called translation-invariant splitting Gibbs measures
(TISGMs).
  In this paper we find all TISGMs, and show in particular that at sufficiently
low temperatures their number is $2^{q}-1$. We prove that there are $[q/2]$
(where $[a]$ is the integer part of $a$) critical temperatures at which the
number of TISGMs changes and give the exact number of TISGMs for each
intermediate temperature. For the binary tree we give explicit formulae for the
critical temperatures and the possible TISGMs.
  While we show that these measures are never convex combinations of each
other, the question which of these measures are extremals in the set of all
Gibbs measures will be treated in future work.


title: NuSTAR observations of magnetar 1E 1841-045

abstract:
  We report new spectral and temporal observations of the magnetar 1E 1841-045
in the Kes 73 supernova remnant obtained with the Nuclear Spectroscopic
Telescope Array (NuSTAR). Combined with new Swift and archival XMM-Newton and
Chandra observations, the phase-averaged spectrum is well characterized by a
blackbody plus double power-law model, in agreement with previous,
multi-mission X-ray results. However, we are unable to reproduce the spectral
results reported using Suzaku observations. The pulsed fraction of the source
is found to increase with photon energy. The measured rms pulsed fraction is
~12% and ~17% at ~20 keV and ~50 keV, respectively. We detect a new feature in
the 24--35 keV band pulse profile that is uniquely double-peaked. This feature
may be associated with a possible absorption or emission feature in the
phase-resolved spectrum. We fit the X-ray data using the recently developed
electron-positron outflow model of Beloborodov (2013) for the hard X-ray
emission from magnetars. This produces a satisfactory fit allowing a constraint
on the angle between the rotation and magnetic axes of the neutron star of ~20
degrees and on the angle between the rotation axis and line-of-sight of ~50
degrees. In this model, the soft X-ray component is inconsistent with a single
blackbody; adding a second blackbody or a power-law component fits the data.
The two-blackbody interpretation suggests a hot spot of temperature kT~0.9 keV
occupying ~1% of the stellar surface.


title: On Uniqueness of Weak Solutions for the Thin-Film Equation

abstract:
  In any number of space variables, we study the Cauchy problem related to the
thin-film equation in the simplest case of a linearly degenerate mobility. This
equation, derived from a lubrication approximation, also models the surface
tension dominated flow of a thin viscous film in the Hele-Shaw cell. Our focus
is on uniqueness of weak solutions in the "complete wetting" regime, when a
zero contact angle between liquid and solid is imposed. In this case, we
transform the problem by zooming into the free boundary and look at small
Lipschitz perturbations of a quadratic stationary solution. In the
perturbational setting, the main difficulty is to construct scale invariant
function spaces in such a way that they are compatible with the structure of
the nonlinear equation. Here we rely on the theory of singular integrals in
spaces of homogeneous type to obtain linear estimates in these functions spaces
which provide "optimal" conditions on the initial data under which a unique
solution exists. In fact, this solution can be used to define a class of
functions in which the original initial value problem has a unique (weak)
solution. Moreover, we show that the interface between empty and wetted regions
is an analytic hypersurface in time and space.


title: General Relativistic Simulations of the Collapsar Scenario

abstract:
  We are exploring the viability of the collapsar model for long-soft gamma-ray
bursts. For this we perform state-of-the-art general relativistic hydrodynamic
simulations in a dynamically evolving space-time with the CoCoNuT code. We
start from massive low metallicity stellar models evolved up to core
gravitational instability, and then follow the subsequent evolution until the
system collapses forming a compact remnant. A preliminary study of the collapse
outcome is performed by varying the typical parameters of the scenario, such as
the initial stellar mass, metallicity, and rotational profile of the stellar
progenitor. 1D models (without rotation) have been used to test our newly
developed neutrino leakage scheme. This is a fundamental piece of our approach
as it allows the central remnant (in all cases considered, a metastable
high-mass neutron star) to cool down, eventually collapsing to a black hole. In
two dimensions, we show that sufficiently fast rotating cores lead to the
formation of Kerr black holes, due to the fall-back of matter surrounding the
compact remnant, which has not been successfully unbounded by a precedent
supernova shock.


title: A Mixture of SDB Skew-t Factor Analyzers

abstract:
  Mixtures of skew-t distributions offer a flexible choice for model-based
clustering. A mixture model of this sort can be implemented using a variety of
formulations of the skew-t distribution. Herein we develop a mixture of skew-t
factor analyzers model for clustering of high-dimensional data using a flexible
formulation of the skew-t distribution. Methodological details of our approach,
which represents an extension of the mixture of factor analyzers model to a
flexible skew-t distribution, are outlined and details of parameter estimation
are provided. Clustering results are illustrated and compared to an alternative
formulation of the mixture of skew-t factor analyzers model as well as the
mixture of factor analyzers model.


title:
Confidential Continuous Variable Direct Communication Protocol by Using
  Fock-Coherent Entangled States

abstract:
  We propose a scheme for the secure direct communication based on the
entangled phase-coherent states, which shows an elevated level of
confidentiality. The protocol gives a simultaneous security control for every
bit of transferred information. The security-check-per-bit is provided by
sending an additional mode to prove the legitimate parties' authenticity. Other
benefit include increased transfer rate, since a separate control sequences is
unnecessary. We study the security of the scheme for both ideal and realistic
quantum channel. The protocol shows a robust security and prepares 50%
probability to detect the presence of the eavesdropper.


title:
Nonequilibrium dynamical renormalization group: Dynamical crossover from
  weak to infinite randomness in the transverse-field Ising chain

abstract:
  In this work we formulate the nonequilibrium dynamical renormalization group
(ndRG). The ndRG represents a general renormalization-group scheme for the
analytical description of the real-time dynamics of complex quantum many-body
systems. In particular, the ndRG incorporates time as an additional scale which
turns out to be important for the description of the long-time dynamics. It can
be applied to both translational invariant and disordered systems. As a
concrete application we study the real-time dynamics after a quench between two
quantum critical points of different universality classes. We achieve this by
switching on weak disorder in a one-dimensional transverse-field Ising model
initially prepared at its clean quantum critical point. By comparing to
numerically exact simulations for large systems we show that the ndRG is
capable of analytically capturing the full crossover from weak to infinite
randomness. We analytically study signatures of localization in both real space
and Fock space.


title: Controlled entanglement routing between two virtual pathways

abstract:
  We demonstrate controlled entanglement routing between bunching and
antibunching path-entangled two-photon states in an unbalanced Mach-Zehnder
interferometer (UMZI), in which the routing process is controlled by the
relative phase difference in the UMZI. Regarding bunching and antibunching
path-entangled two-photon states as two virtual ports, we can consider the UMZI
as a controlled entanglement router, which bases on the coherent manipulation
of entanglement. Half of the entanglement within the input two-photon state is
coherently routed between the two virtual ports, while the other is lost due to
the time distinguishability introduced by the UMZI. Pure bunching or
antibunching path entangled two-photon states are obtained based on this
controlled entanglement router. The results show that we can employ the UMZI as
general entanglement router for practical quantum information application.


title:
Spectral energy distribution and generalized Wien's law for photons,
  cosmic string loops and related physical objects

abstract:
  Physical objects with energy $u_w(l) \sim l^{-3w}$ with $l$ a characteristic
length and $w$ a numerical constant ($-1 \leq w \leq 1$), lead to an equation
of state $p=w\rho$, with $p$ the pressure and $\rho$ the energy density.
Special objects with this property are, for instance, photons ($u = hc/l$, with
$l$ the wavelength) with $w = 1/3$, and some models of cosmic string loops ($u
= (c^4/aG)l$, with $l$ the length of the loop and $a$ a numerical constant),
with $w = -1/3$, and maybe other kinds of objects as, for instance,
hypothetical cosmic membranes with lateral size $l$ and energy proportional to
the area, i.e. to $l^2$, for which $w = -2/3$, or the yet unknown constituents
of dark energy, with $w = -1$. Here, we discuss the general features of the
spectral energy distribution of these systems and the corresponding
generalization of Wien's law, which has the form $Tl_{mp}^{3w}=constant$, being
$l_{mp}$ the most probable size of the mentioned objects.


title: An alternative to the standard model

abstract:
  We present an extension of the standard model to dark sector with an unbroken
local dark $U(1)_X$ symmetry. Including various singlet portal interactions
provided by the standard model Higgs, right-handed neutrinos and kinetic
mixing, we show that the model can address most of phenomenological issues
(inflation, neutrino mass and mixing, baryon number asymmetry, dark matter,
direct/indirect dark matter searches, some scale scale puzzles of the standard
collisionless cold dark matter, vacuum stability of the standard model Higgs
potential, dark radiation) and be regarded as an alternative to the standard
model. The Higgs signal strength is equal to one as in the standard model for
unbroken $U(1)_X$ case with a scalar dark matter, but it could be less than one
independent of decay channels if the dark matter is a dark sector fermion or if
$U(1)_X$ is spontaneously broken, because of a mixing with a new neutral scalar
boson in the models.


title:
A duality-invariant Einstein-Planck relation and its consequences on
  micro black holes

abstract:
  We discuss the consequences of a duality-invariant Einstein-Planck relation
on the equation of state of micro black holes. The results are analogous to
those obtained from the "world crystal" model, but with some significative
differences, as for instance a limiting vanishing value for temperature for
very small black holes. The model leads to a total evaporation of micro black
holes but with the final stage being very slow.


title:
The IRAM-30m line survey of the Horsehead PDR: IV. Comparative chemistry
  of H2CO and CH3OH

abstract:
  Aims. We investigate the dominant formation mechanism of H2CO and CH3OH in
the Horsehead PDR and its associated dense core. Methods. We performed deep
integrations of several H2CO and CH3OH lines at two positions in the Horsehead,
namely the PDR and dense core, with the IRAM-30m telescope. In addition, we
observed one H2CO higher frequency line with the CSO telescope at both
positions. We determine the H2CO and CH3OH column densities and abundances from
the single-dish observations complemented with IRAM-PdBI high-angular
resolution maps (6") of both species. We compare the observed abundances with
PDR models including either pure gas-phase chemistry or both gas-phase and
grain surface chemistry. Results. We derive CH3OH abundances relative to total
number of hydrogen atoms of ~1.2e-10 and ~2.3e-10 in the PDR and dense core
positions, respectively. These abundances are similar to the inferred H2CO
abundance in both positions (~2e-10). We find an abundance ratio H2CO/CH3OH of
~2 in the PDR and ~1 in the dense core. Pure gas-phase models cannot reproduce
the observed abundances of either H2CO or CH3OH at the PDR position. Both
species are therefore formed on the surface of dust grains and are subsequently
photodesorbed into the gas-phase at this position. At the dense core, on the
other hand, photodesorption of ices is needed to explain the observed abundance
of CH3OH, while a pure gas-phase model can reproduce the observed H2CO
abundance. The high-resolution observations show that CH3OH is depleted onto
grains at the dense core. CH3OH is thus present in an envelope around this
position, while H2CO is present in both the envelope and the dense core itself.
Conclusions. Photodesorption is an efficient mechanism to release complex
molecules in low FUV-illuminated PDRs, where thermal desorption of ice mantles
is ineffective.


title: Principle of local reflexivity respecting subspaces

abstract:
  We obtain a strengthening of the principle of local reflexivity in a general
form. The added strength makes local reflexivity operators respect given
subspaces. Applications are given to bounded approximation properties of pairs,
consisting of a Banach space and its subspace.


title:
Damage in graphene due to electronic excitation induced by highly
  charged ions

abstract:
  Graphene is expected to be rather insensitive to ionizing particle radiation.
We demonstrate that single layers of exfoliated graphene sustain significant
damage from irradiation with slow highly charged ions. We have investigated the
ion induced changes of graphene after irradiation with highly charged ions of
different charge states (q = 28-42) and kinetic energies E_kin = 150-450 keV.
Atomic force microscopy images reveal that the ion induced defects are not
topographic in nature but are related to a significant change in friction. To
create these defects, a minimum charge state is needed. In addition to this
threshold behaviour, the required minimum charge state as well as the defect
diameter show a strong dependency on the kinetic energy of the projectiles.
From the linear dependency of the defect diameter on the projectile velocity we
infer that electronic excitations triggered by the incoming ion in the
above-surface phase play a dominant role for this unexpected defect creation in
graphene.


title: Energy-Momentum dispersion relation of plasmarons in bilayer graphene

abstract:
  The relation between the energy and momentum of plasmarons in bilayer
graphene is investigated within the Overhauser approach, where the
electron-plasmon interaction is described as a field theoretical problem. We
find that the Dirac-like spectrum is shifted by $\Delta E(\mathbf{k})\sim
100\div150\,{\rm meV}$ depending on the electron concentration $n_{e}$ and
electron momentum. The shift increases with electron concentration as the
energy of plasmons becomes larger. The dispersion of plasmarons is more
pronounced than in the case of single layer graphene, which is explained by the
fact that the energy dispersion of electrons is quadratic and not linear. We
expect that these predictions can be verified using angle-resolved
photoemission spectroscopy (ARPES).


title: Field control of single x-ray photons in nuclear forward scattering

abstract:
  Means to coherently control single x-ray photons in resonant scattering of
light off nuclei by electric or magnetic fields are investigated theoretically.
In order to derive the time response in nuclear forward scattering, we adapt
the Maxwell-Bloch equations known from quantum optics to describe the resonant
light pulse propagation through a nuclear medium. Two types of time-dependent
perturbations of nuclear forward scattering are considered for coherent control
of the resonantly scattered x-ray quanta. First, the simultaneous coherent
propagation of two pulses through the nuclear sample is addressed. We find that
the signal of a weak pulse can be enhanced or suppressed by a stronger pulse
simultaneously propagating through the sample in counter-propagating geometry.
Second, the effect of a time-dependent hyperfine splitting is investigated and
we put forward a scheme that allows parts of the spectrum to be shifted forward
in time. This is the inverse effect of coherent photon storage and may become a
valuable technique if single x-ray photon wavepackets are to become the
information carriers in future photonic circuits.


title:
A new sufficient two-weighted bump assumption for $L^p$ boundedness of
  Calder\'on-Zygmund operators

abstract:
  We present new results on the two-weighted boundedness of singular integral
operators and $L^p$ boundedness of the Orlicz maximal function. Namely, we
extend a theorem of P\'erez regarding the necessary and sufficient conditions
for the boundedness of the Orlicz maximal function as well as give a new
sufficient two-weighted boundedness assumption for Calder\'on-Zygmund singular
integrals.


title:
First observation of the thermal Sunyaev-Zel'dovich effect with kinetic
  inductance detectors

abstract:
  Clusters of galaxies provide valuable information on the evolution of the
Universe and large scale structures. Recent cluster observations via the
thermal Sunyaev-Zel'dovich (tSZ) effect have proven to be a powerful tool to
detect and study them. In this context, high resolution tSZ observations (~
tens of arcsec) are of particular interest to probe intermediate and high
redshift clusters. Observations of the tSZ effect will be carried out with the
millimeter dual-band NIKA2 camera, based on Kinetic Inductance Detectors (KIDs)
to be installed at the IRAM 30-meter telescope in 2015. To demonstrate the
potential of such an instrument, we present tSZ observations with the NIKA
camera prototype, consisting of two arrays of 132 and 224 detectors that
observe at 140 and 240 GHz with a 18.5 and 12.5 arcsec angular resolution,
respectively. The cluster RX J1347.5-1145 was observed simultaneously at 140
and 240 GHz. We used a spectral decorrelation technique to remove the
atmospheric noise and obtain a map of the cluster at 140 GHz. The efficiency of
this procedure has been characterized through realistic simulations of the
observations. The observed 140 GHz map presents a decrement at the cluster
position consistent with the tSZ nature of the signal. We used this map to
study the pressure distribution of the cluster by fitting a gNFW model to the
data. Subtracting this model from the map, we confirm that RX J1347.5-1145 is
an ongoing merger, which confirms and complements previous tSZ and X-ray
observations. For the first time, we demonstrate the tSZ capability of KID
based instruments. The NIKA2 camera with ~ 5000 detectors and a 6.5 arcmin
field of view will be well-suited for in-depth studies of the intra cluster
medium in intermediate to high redshifts, which enables the characterization of
recently detected clusters by the Planck satellite.


title: Quantum computation of discrete logarithms in semigroups

abstract:
  We describe an efficient quantum algorithm for computing discrete logarithms
in semigroups using Shor's algorithms for period finding and discrete log as
subroutines. Thus proposed cryptosystems based on the presumed hardness of
discrete logarithms in semigroups are insecure against quantum attacks. In
contrast, we show that some generalizations of the discrete log problem are
hard in semigroups despite being easy in groups. We relate a shifted version of
the discrete log problem in semigroups to the dihedral hidden subgroup problem,
and we show that the constructive membership problem with respect to $k \ge 2$
generators in a black-box abelian semigroup of order $N$ requires $\tilde
\Theta(N^{\frac{1}{2}-\frac{1}{2k}})$ quantum queries.


title: Entanglement entropy in a holographic p-wave superconductor model

abstract:
  In a recent paper, arXiv:1309.4877, a holographic p-wave model has been
proposed in an Einstein-Maxwell-complex vector field theory with a negative
cosmological constant. The model exhibits rich phase structure depending on the
mass and the charge of the vector field. We investigate the behavior of the
entanglement entropy of dual field theory in this model. When the above two
model parameters change, we observe the second order, first order and zeroth
order phase transitions from the behavior of the entanglement entropy at some
intermediate temperatures. These imply that the entanglement entropy can
indicate not only the occurrence of the phase transition, but also the order of
the phase transition. The entanglement entropy is indeed a good probe to phase
transition. Furthermore, the "retrograde condensation" which is a sub-dominated
phase is also reflected on the entanglement entropy.


title: Polarized hadron pair production from electron-positron annihilation

abstract:
  We study the production of two almost back-to-back hadrons from the
annihilation of an electron and a positron, allowing for the polarization of
all particles involved. In particular, we conduct a general (model-independent)
structure function decomposition of the cross section for the case $e^+e^- \to
\gamma^* \to h_ah_bX$. Moreover, using the parton model we calculate the
relevant structure functions in terms of twist-2 transverse momentum dependent
(TMD) fragmentation functions (FFs). We also give results for the situation
$e^+e^- \to Z^* \to h_ah_bX$ (including $\gamma$-$Z$ interference) within this
model. This is the first time a complete framework has been presented for the
examination of TMD FFs within $e^+e^-\to h_ah_bX$. We also specify certain
parts of our analysis that hold for the triple-polarized semi-inclusive
deep-inelastic scattering process and for di-hadron fragmentation. Furthermore,
we give an explicit prescription of how our work can be translated to the
Drell-Yan reaction, which provides for the first time full results for
double-polarized Drell-Yan that include electroweak effects. We further discuss
the relevance of our $e^+e^-\to h_ah_bX$ results for future experiments at
$e^+e^-$ machines.


title:
Collective Interactions in an Array of Atoms Coupled to a Nanophotonic
  Waveguide

abstract:
  A lattice of trapped atoms strongly coupled to a one-dimensional nanophotonic
waveguide is investigated in exploiting the concept of polariton as the system
natural eigenstate. We apply a bosonization procedure, which was presented
separately by P. W. Anderson and V. M. Agranovich, to transform excitation
spin-half operators into interacting bosons, and which shown here to confirm
the hard-core boson model. We derive polariton-polariton kinematic interactions
and study them by solving the scattering problem. In using the
excitation-photon detuning as a control parameter, we examine the regime in
which polaritons behave as weakly interacting photons, and propose the system
for realizing superfluidity of photons. We implement the kinematic interaction
as a mechanism for nonlinear optical processes that provide an observation tool
for the system properties, e.g. the interaction strength produces a blue shift
in pump-probe experiments.


title: A Random Laser as a Dynamical Network

abstract:
  The mode dynamics of a random laser is investigated in experiment and theory.
The laser consists of a ZnCdO/ZnO multiple quantum well with air-holes that
provide the necessary feedback. Time-resolved measurements reveal multimode
spectra with individually developing features but no variation from shot to
shot. These findings are qualitatively reproduced with a model that exploits
the specifics of a dilute system of weak scatterers and can be interpreted in
terms of a lasing network. Introducing the phase-sensitive node coherence
reveals new aspects of the self-organization of the laser field. Lasing is
carried by connected links between a subset of scatterers, the fields on which
are oscillating coherently in phase. In addition, perturbing feedback with
possibly unfitting phases from frustrated other scatterers is suppressed by
destructive superposition. We believe that our findings are representative at
least for weakly scattering random lasers. A generalization to random laser
with dense and strong scatterers seems to be possible when using a more complex
scattering theory for this case.


title:
Effect of the generalized uncertainty principle on Galilean and Lorentz
  transformations

abstract:
  Generalized Uncertainty Principle (GUP) was obtained in string theory and
quantum gravity and suggested the existence of a fundamental minimal length
which, as was established, can be obtained within the deformed Heisenberg
algebra. We use the deformed commutation relations or in classical case
(studied in this paper) the deformed Poisson brackets, which are invariant with
respect to the translation in configurational space. We have found
transformations relating coordinates and times of moving and rest frames of
reference in the space with GUP in the first order over parameter of
deformation. For the non-relativistic case we find the deformed Galilean
transformation which is similar to the Lorentz one written for Euclidean space
with signature $(+,+,+,+)$. The role of the speed of light here plays some
velocity $u$ related to the parameter of deformation, which as we estimate is
many order of magnitude larger than the speed of light $u\simeq 1.2 \times
10^{22} c$. The coordinates of the rest and moving frames of reference for
relativistic particle in the space with GUP satisfy the Lorentz transformation
with some effective speed of light. We estimate that the relative deviation of
this effective speed of light $\tilde c$ from $c$ is ${(\tilde c-c)/ c}\simeq
3.5\times 10^{-45}$. The influence of GUP on the motion of particle and the
Lorentz transformation in the first order over parameter of deformation is
hidden in $1/c^2$ relativistic effects.


title: On symmetric power L-invariants of Iwahori level Hilbert modular forms

abstract:
  We compute the arithmetic L-invariants (of Greenberg-Benois) of twists of
symmetric powers of p-adic Galois representations attached to Iwahori level
Hilbert modular forms (under some technical conditions). Our method uses the
automorphy of symmetric powers and the study of analytic Galois representations
on p-adic families of automorphic forms over symplectic and unitary groups.
Combining these families with some explicit plethysm in the representation
theory of GL(2), we construct global Galois cohomology classes with
coefficients in the symmetric powers and provide formulae for the L-invariants
in terms of logarithmic derivatives of Hecke eigenvalues.


title:
Radiative Levitation of Silicon in the Atmospheres of Two Hyades DA
  White Dwarfs

abstract:
  The presence of silicon at the surface of the two Hyades DA white dwarfs WD
0421+162 and WD 0431+126 requires mechanisms that counteract the effects of the
downward diffusion. Radiative levitation calculations indicate that the silicon
abundance observed in WD 0431+126 corresponds to the abundance supported by
radiative levitation. Detailed time-dependent diffusion calculations that take
into account radiative levitation and accretion indicate that accretion with
rates of dM/dt(Si) < 1.00E4 g/s could also be present without disrupting the
abundance supported by radiative levitation. In the case of WD 0421+162,
accretion with a rate of dM/dt(Si) = 1.25E5 g/s must be invoked, because its
observed silicon abundance is larger than the abundance supported by radiative
levitation. This accretion rate is lower than the accretion rate given by the
accretion-diffusion model, because the radiative levitation slows down the
downward diffusion of silicon. The silicon abundances observed in the two
Hyades white dwarfs cannot be interpreted solely in terms of accretion. The
interpretation of the silicon abundances must take into account the interplay
between radiative levitation and accretion.


title:
Scattering approach to two-colour light forces and self-ordering of
  polarizable particles

abstract:
  Collective coherent scattering of laser light by an ensemble of polarizable
point particles creates long range interactions, whose properties can be
tailored by choice of injected laser powers, frequencies and polarizations. We
use a transfer matrix approach to study the forces induced by non-interfering
fields of orthogonal polarization or different frequencies in a 1D geometry and
find long range self-ordering of particles without a prescribed order.
Adjusting laser frequencies and powers allows to tune inter-particle distances
and provides a wide range of possible dynamical couplings not accessible in
usual standing light wave geometries with prescribed order. In this work we
restrict the examples to two frequencies and polarisations but the framework
also allows to treat multicolour light beams with random phases. These
dynamical effects should be observable in existing experimental setups with
effective 1D geometries such as atoms or nanoparticles coupled to the field of
an optical nanofibre or transversely trapped in counterpropagating Gaussian
beams.


title: On L.S.-category of a family of rational elliptic spaces

abstract:
  Let X be a finite type simply connected rationally elliptic CW-complex with
Sullivan minimal model $(\Lambda V, d)$ and let $k \geq 2$ the biggest integer
such that $d=\sum \limits_{\underset{}{i\geq k}}d_i$ with $d_i(V) \subseteq
\Lambda^iV$.
  In \cite{murillo02} the authors showed that if $(\Lambda V,d_k)$ is morever
elliptic then $cat(\Lambda V,d)=(k-2)dimV^{even} + dimV^{odd}.$
  Our work focuses on the estimation of L.S.-category of such spaces in the
case when $k=3$ and when $(\Lambda V,d_3)$ is not necessarily elliptic.


title:
The Planetary System to KIC 11442793: A Compact Analogue to the Solar
  System

abstract:
  We announce the discovery of a planetary system with 7 transiting planets
around a Kepler target, a current record for transiting systems. Planets b, c,
e and f are reported for the first time in this work. Planets d, g and h were
previously reported in the literature (Batalha et al. 2013), although here we
revise their orbital parameters and validate their planetary nature. Planets h
and g are gas giants and show strong dynamical interactions. The orbit of
planet g is perturbed in such way that its orbital period changes by 25.7h
between two consecutive transits during the length of the observations, which
is the largest such perturbation found so far. The rest of the planets also
show mutual interactions: planets d, e and f are super-Earths close to a mean
motion resonance chain (2:3:4), and planets b and c, with sizes below 2 Earth
radii, are within 0.5% of the 4:5 mean motion resonance. This complex system
presents some similarities to our Solar System, with small planets in inner
orbits and gas giants in outer orbits. It is, however, more compact. The outer
planet has an orbital distance around 1 AU, and the relative position of the
gas giants is opposite to that of Jupiter and Saturn, which is closer to the
expected result of planet formation theories. The dynamical interactions
between planets are also much richer.


title: On Backward Uniqueness for the Heat Operator in Cones

abstract:
  Consider the system $|\partial_tu+\Delta u|\leq M(|u|+|\nabla u|)$,
$|u(x,t)|\leq Me^{M|x|^2}$ in $\mathcal{C}_{\theta}\times[0,T]$ and $u(x,0)=0$
in $\mathcal{C}_{\theta}$, where $\mathcal{C}_{\theta}$ is a cone with opening
angle $\theta$. L. Escauriaza constructed an example to show that such system
has a nonzero bounded solution when $\theta<90^\circ$, and it's conjectured
that the system has only zero solution for $\theta>90^\circ$. Recently Lu Li
and V. \v{S}ver\'{a}k \cite{LlS} proved that the claim is true for
$\theta>109.5^\circ$. Here we improve their result and prove that only zero
solution exists for this system when $\theta>99^\circ$ by exploring a new type
of Carleman inequality, which is of independent interest.


title:
Homage to Bob Brodkey at 85: Ejections, Sweeps and Reynolds Shear Stress
  Generation in Turbulent Pipe Flow

abstract:
  Almost 50 years ago Bob Brodkey and his student, Corino, conceived of and
carried out a visualization experiment for the very near wall region of a
turbulent pipe flow that, together with the turbulent boundary layer
visualization of Kline et al., excited the turbulence research community. Using
a high speed movie camera mounted on a lathe bed that recorded magnified images
in a frame of reference moving with the flow, they observed the motions of
sub-micron particles in the sub-, buffer- and log-layers. Surprisingly, these
motions were not nearly so locally random as was the general view of turbulence
at the time. Rather, connected regions of the near wall flow decelerated and
then erupted away from the wall in what they called "ejections". These
decelerated motions were followed by larger scale connected motions toward the
wall from above that they called "sweeps". They estimated that ejections
accounted for $70\%$ of the Reynolds shear stress at $Re_d = 20,000$ while only
occurring about $18\%$ of the time. This fluid dynamics video shows short
sequences, at three Reynolds numbers, from the original Corino and Brodkey
visual study. In the following decades it inspired numerous laboratory and
simulation studies aimed at unraveling the structure of bounded turbulent flows
and understanding the turbulent transport processes within them.


title:
Steady state entanglement, cooling, and tristability in a nonlinear
  optomechanical cavity

abstract:
  The interaction of a single-mode field with both a weak Kerr medium and a
parametric nonlinearity in an intrinsically nonlinear optomechanical system is
studied. The nonlinearities due to the optomechanical coupling and Kerr-down
conversion lead to the bistability and tristability in the mean intracavity
photon number. Also, our work demonstrates that the lower bound of the resolved
sideband regime and the minimum attainable phonon number can be less than that
of a bare cavity by controlling the parametric nonlinearity and the phase of
the driving field. Moreover, we find that in the system under consideration the
degree of entanglement between the mechanical and optical modes is dependent on
the two stability parameters of the system. For both cooling and entanglement,
while parametric nonlinearity increases the optomechanical coupling, the weak
Kerr nonlinearity is very useful for extending the domain of the stability
region to the desired range in which the minimum effective temperature and
maximal entanglement are attainable. Also, as shown in this paper, the present
scheme allows to have significant entanglement in the tristable regime for the
lower and middle branches which makes the current scheme distinct from the bare
optomechanical system.


title:
Comment on "Quantum versus classical instability of scalar fields in
  curved backgrounds"

abstract:
  I show that the claim of the paper [arXiv:1310.2185] on the absence of
instability for a minimally coupled scalar field on a static spherically
symmetric gravitational background is incorrect.


title: Incompleteness of complete kaon photoproduction

abstract:
  A possible roadmap for reaching a status of complete information in $\gamma p
\rightarrow K^ {+} \Lambda$ is outlined.


title: Viability of light-Higgs strongly-coupled scenarios

abstract:
  Contrary to what is sometimes stated, the current electroweak precision data
easily allow for massive composite resonance states at the natural EW scale,
i.e., well over the TeV. The oblique parameters S and T are analyzed by means
of an effective Lagrangian that implements the $SU(2)_L\otimes SU(2)_R\to
SU(2)_{L+R}$ pattern of electroweak symmetry breaking. They are computed at the
one-loop level and incorporating the newly discovered Higgs-like boson and
possible spin-1 composite resonances. Imposing a proper ultraviolet behaviour
is crucial and allows us to determine S and T at next-to-leading order in terms
of a few resonance parameters. Electroweak precision data force the vector and
axial-vector states to have masses above the TeV scale and suggest that the
W+W- and ZZ couplings to the Higgs-like scalar should be close to the Standard
Model value. Our findings are generic: they only rely on symmetry principles
and soft requirements on the short-distance properties of the underlying
strongly-coupled theory, which are widely satisfied in more specific scenarios.


title: Kinematic dynamo action in square and hexagonal patterns

abstract:
  We consider kinematic dynamo action in rapidly rotating Boussinesq convection
just above onset. The velocity is constrained to have either a square or a
hexagonal pattern. For the square pattern, large-scale dynamo action is
observed at onset, with most of the magnetic energy being contained in the
horizontally-averaged component. As the magnetic Reynolds number increases,
small-scale dynamo action becomes possible, reducing the overall growth rate of
the dynamo. For the hexagonal pattern, the breaking of symmetry between up and
down flows results in an effective pumping velocity. For intermediate rotation
rates, this additional effect can prevent the growth of any mean-field dynamo,
so that only a small-scale dynamo is eventually possible at large enough
magnetic Reynolds number. For very large rotation rates, this pumping term
becomes negligible, and the dynamo properties of square and hexagonal patterns
are qualitatively similar. These results hold for both perfectly conducting and
infinite magnetic permeability boundary conditions.


title:
Dark matter production from Goldstone boson interactions and
  implications for direct searches and dark radiation

abstract:
  The stability of the dark matter particle could be attributed to the remnant
$Z_2$ symmetry that arises from the spontaneous breaking of a global U(1)
symmetry. This plausible scenario contains a Goldstone boson which, as recently
shown by Weinberg, is a strong candidate for dark radiation. We show in this
paper that this Goldstone boson, together with the CP-even scalar associated to
the spontaneous breaking of the global U(1) symmetry, plays a central role in
the dark matter production. Besides, the mixing of the CP-even scalar with the
Standard Model Higgs boson leads to novel Higgs decay channels and to
interactions with nucleons, thus opening the possibility of probing this
scenario at the LHC and in direct dark matter search experiments. We carefully
analyze the latter possibility and we show that there are good prospects to
observe a signal at the future experiments LUX and XENON1T provided the dark
matter particle was produced thermally and has a mass larger than ~25 GeV.


title:
Dissociation and Propagation for Approximate Lifted Inference with
  Standard Relational Database Management Systems

abstract:
  Probabilistic inference over large data sets is a challenging data management
problem since exact inference is generally #P-hard and is most often solved
approximately with sampling-based methods today. This paper proposes an
alternative approach for approximate evaluation of conjunctive queries with
standard relational databases: In our approach, every query is evaluated
entirely in the database engine by evaluating a fixed number of query plans,
each providing an upper bound on the true probability, then taking their
minimum. We provide an algorithm that takes into account important schema
information to enumerate only the minimal necessary plans among all possible
plans. Importantly, this algorithm is a strict generalization of all known
PTIME self-join-free conjunctive queries: A query is in PTIME if and only if
our algorithm returns one single plan. Furthermore, our approach is a
generalization of a family of efficient ranking methods from graphs to
hypergraphs. We also adapt three relational query optimization techniques to
evaluate all necessary plans very fast. We give a detailed experimental
evaluation of our approach and, in the process, provide a new way of thinking
about the value of probabilistic methods over non-probabilistic methods for
ranking query answers. We also note that the techniques developed in this paper
apply immediately to lifted inference from statistical relational models since
lifted inference corresponds to PTIME plans in probabilistic databases.


title:
Rain water transport and storage in a model sandy soil with hydrogel
  particle additives

abstract:
  We study rain water infiltration and drainage in a dry model sandy soil with
superabsorbent hydrogel particle additives by measuring the mass of retained
water for non-ponding rainfall using a self-built 3D laboratory set-up. In the
pure model sandy soil, the retained water curve measurements indicate that
instead of a stable horizontal wetting front that grows downward uniformly, a
narrow fingered flow forms under the top layer of water-saturated soil. This
rain water channelization phenomenon not only further reduces the available
rain water in the plant root zone, but also affects the efficiency of soil
additives, such as superabsorbent hydrogel particles. Our studies show that the
shape of the retained water curve for a soil packing with hydrogel particle
additives strongly depends on the location and the concentration of the
hydrogel particles in the model sandy soil. By carefully choosing the particle
size and distribution methods, we may use the swollen hydrogel particles to
modify the soil pore structure, to clog or extend the water channels in sandy
soils, or to build water reservoirs in the plant root zone.


title: Stacked Patch Antenna With Cross Slot Electronic Band Gap Structure

abstract:
  A cross slotted electronic band gap (EBG) with stacked rectangular patches
shorted with a shorting pin is proposed in this paper. The study is being done
on how the various parameters are varied by changing the probe feed location.
The design is constructed by using stacking of patches, shorting pin and cross
slotted EBG to form an optimized antenna design with antenna efficiency of
approximately 99.06%. The radiation patterns are given at 2.586 GHz which can
be used for wireless communications.


title:
Stabilizing the electroweak vacuum by higher dimensional operators in a
  Higgs-Yukawa model

abstract:
  The Higgs boson discovery at the LHC with a mass of approximately 126 GeV
suggests, that the electroweak vacuum of the standard model may be metastable
at very high energies. However, any new physics beyond the standard model can
change this picture. We want to address this important question within a
lattice Higgs-Yukawa model as the limit of the standard model (SM). In this
framework we will probe the effect of a higher dimensional operator for which
we take a $(\phi^{\dagger}\phi)^3$-term. Such a term could easily originate as
a remnant of physics beyond the SM at very large scales.
  As a first step we investigate the phase diagram of the model including such
a $(\phi^{\dagger}\phi)^3$ operator. Exploratory results suggest the existence
of regions in parameter space where first order transitions turn to second
order ones, indicating the existence of a tri-critical line. We will explore
the phase structure and the consequences for the stability of the SM, both
analytically by investigating the constraint effective potential in lattice
perturbation theory, and by studying the system non-perturbatively using
lattice simulations.


title:
The Link between Magnetic Fields and Filamentary Clouds: Bimodal Cloud
  Orientations in the Gould Belt

abstract:
  The orientations of filamentary molecular clouds in the Gould Belt and their
local ICM (inter-cloud media) magnetic fields are studied using near-infrared
dust extinction maps and optical stellar polarimetry data. These filamentary
clouds are a few-to-ten parsecs in length, and we find that their orientations
tend to be either parallel or perpendicular to the mean field directions of the
local ICM. This bimodal distribution is not found in cloud simulations with
super-Alfvenic turbulence, in which the cloud orientations should be random.
ICM magnetic fields that are dynamically important compared to inertial-range
turbulence and self-gravity can readily explain both field-filament
configurations. Previous studies commonly recognize that strong magnetic fields
can guide gravitational contraction and result in filaments perpendicular to
them, but few discuss the fact that magnetic fields can also channel
sub-Alfvenic turbulence to form filaments aligned with them. This strong-field
scenario of cloud formation is also consistent with the constant field strength
observed from ICM to clouds (Crutcher et al. 2010) and is possible to explain
the "hub-filament" cloud structure (Myers 2009) and the density threshold of
cloud gravitational contraction (Kainulainen et al. 2009).


title:
Cohomological finiteness conditions for Mackey and cohomological Mackey
  functors

abstract:
  We study cohomological finiteness conditions for groups associated to Mackey
and cohomological Mackey functors, proving that the cohomological dimension
associated to cohomological Mackey functors is always equal to the
$\mathcal{F}$-cohomological dimension, and characterising the conditions
Mackey-$\mathrm{FP}_n$ and cohomological Mackey-$\mathrm{FP}_n$. We show that
all finiteness conditions for cohomological Mackey functors are unchanged when
considering only the family of $p$-subgroups, and we characterise cohomological
Mackey-$\mathrm{FP}_n$ conditions over the finite field $\mathbb{F}_p$.


title: Residual symmetries in the lepton mass matrices

abstract:
  It has been suggested that residual symmetries in the charged-lepton and
neutrino mass matrices can possibly reveal the flavour symmetry group of the
lepton sector. We review the basic ideas of this purely group-theoretical
approach and discuss some of its results. Finally, we also list its
shortcomings.


title:
Thermodynamic properties of liquid mercury to 520 K and 7 GPa from
  acoustic velocity measurements

abstract:
  Ultrafast acoustics measurements on liquid mercury have been performed at
high pressure and temperature in diamond anvils cell using picosecond acoustic
interferometry. We extract the density of mercury from adiabatic sound
velocities using a numerical iterative procedure. The pressure and temperature
dependence of the thermal expansion, the isothermal compressibilty, the
isothermal bulk modulus and its pressure derivative are derived up to 7 GPa and
520 K. In the high pressure regime, the sound velocity values, at a given
density, are shown to be only slightly dependent on the specific temperature
and pressure conditions. The density dependence of sound velocity at low
density is consistent with that observed with our data at high density in the
metallic liquid state.


title:
Optimal Transmit Filters for ISI Channels under Channel Shortening
  Detection

abstract:
  We consider channels affected by intersymbol interference with
reduced-complexity, mutual information optimized, channel-shortening detection.
For such settings, we optimize the transmit filter, taking into consideration
the reduced receiver complexity constraint. As figure of merit, we consider the
achievable information rate of the entire system and with functional analysis,
we establish a general form of the optimal transmit filter, which can then be
optimized by standard numerical methods. As a corollary to our main result, we
obtain some insight of the behavior of the standard waterfilling algorithm for
intersymbol interference channels. With only some minor changes, the general
form we derive can be applied to multiple-input multiple-output channels with
intersymbol interference. To illuminate the practical use of our results, we
provide applications of our theoretical results by deriving the optimal shaping
pulse of a linear modulation transmitted over a bandlimited additive white
Gaussian noise channel which has possible applications in the
faster-than-Nyquist/time packing technique.


title: Some New Results on Strong Integer Additive Set-Indexers of Graphs

abstract:
  Let $\mathbb{N}_0$ be the set of all non-negative integers. An integer
additive set-indexer of a graph $G$ is an injective function $f:V(G)\to
2^{\mathbb{N}_0}$ such that the induced function $g_f:E(G) \rightarrow
2^{\mathbb{N}_0}$ defined by $f^+(uv) = f(u)+ f(v)$ is also injective. An IASI
is said to be {\em $k$-uniform} if $|f^+(e)| = k$ for all $e\in E(G)$. In this
paper, we introduce the notions of strong integer additive set-indexers and
initiate a study of the graphs which admit strong integer additive
set-indexers.


title: The High-Ion Content and Kinematics of Low-Redshift Lyman Limit Systems

abstract:
  We study the high-ionization phase and kinematics of the circumgalactic
medium around low-redshift galaxies using a sample of 23 Lyman Limit Systems
(LLSs) at 0.08<z<0.93 observed with the Cosmic Origins Spectrograph onboard the
Hubble Space Telescope. In Lehner et al. (2013), we recently showed that low-z
LLSs have a bimodal metallicity distribution. Here we extend that analysis to
search for differences between the high-ion and kinematic properties of the
metal-poor and metal-rich branches. We find that metal-rich LLSs tend to show
higher O VI columns and broader O VI profiles than metal-poor LLSs. The total H
I line width (dv90 statistic) in LLSs is not correlated with metallicity,
indicating that the H I kinematics alone cannot be used to distinguish inflow
from outflow and gas recycling. Among the 17 LLSs with O VI detections, all but
two show evidence of kinematic sub-structure, in the form of O VI-H I centroid
offsets, multiple components, or both. Using various scenarios for how the
metallicity in the high-ion and low-ion phases of each LLS compare, we
constrain the ionized hydrogen column in the O VI phase to lie in the range log
N(H II)~17.6-20. The O VI phase of LLSs is a substantial baryon reservoir, with
M(high-ion)~10^{8.5-10.9}(r/150 kpc)^2 solar masses, similar to the mass in the
low-ion phase. Accounting for the O VI phase approximately doubles the
contribution of low-z LLSs to the cosmic baryon budget.


title: Compact bilinear commutators: the weighted case

abstract:
  Commutators of bilinear Calder\'on-Zygmund operators and multiplication by
functions in a certain subspace of the space of functions of bounded mean
oscillations are shown to be compact on appropriate products of weighted
Lebesgue spaces.


title:
Functorial tropicalization of logarithmic schemes: The case of constant
  coefficients

abstract:
  The purpose of this article is to develop foundational techniques from
logarithmic geometry in order to define a functorial tropicalization map for
fine and saturated logarithmic schemes in the case of constant coefficients.
Our approach crucially uses the theory of fans in the sense of K. Kato and
generalizes Thuillier's retraction map onto the non-Archimedean skeleton in the
toroidal case. For the convenience of the reader many examples as well as an
introductory treatment of the theory of Kato fans are included.


title: Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity

abstract:
  We apply the geometric theory of swimming at low Reynolds number to the study
of nearly circular swimmers in two-dimensional fluids with non-vanishing Hall,
or "odd", viscosity. The Hall viscosity gives an off-diagonal contribution to
the fluid stress-tensor, which results in a number of striking effects. In
particular, we find that a swimmer whose area is changing will experience a
torque proportional to the rate of change of the area, with the constant of
proportionality given by the coefficient $\eta^o$ of odd viscosity. After
working out the general theory of swimming in fluids with Hall viscosity for a
class of simple swimmers, we give a number of example swimming strokes which
clearly demonstrate the differences between swimming in a fluid with
conventional viscosity and a fluid which also has a Hall viscosity. A number of
more technical results, including a proof of the torque-area relation for
swimmers of more general shape, are explained in a set of appendices.


title: Optimal Sorting Networks

abstract:
  This paper settles the optimality of sorting networks given in The Art of
Computer Programming vol. 3 more than 40 years ago. The book lists efficient
sorting networks with n <= 16 inputs. In this paper we give general
combinatorial arguments showing that if a sorting network with a given depth
exists then there exists one with a special form. We then construct
propositional formulas whose satisfiability is necessary for the existence of
such a network. Using a SAT solver we conclude that the listed networks have
optimal depth. For n <= 10 inputs where optimality was known previously, our
algorithm is four orders of magnitude faster than those in prior work.


title: Cosmological networks

abstract:
  Networks often represent systems that do not have a long history of studies
in traditional fields of physics, albeit there are some notable exceptions such
as energy landscapes and quantum gravity. Here we consider networks that
naturally arise in cosmology. Nodes in these networks are stationary observers
uniformly distributed in an expanding open FLRW universe with any scale factor,
and two observers are connected if one can causally influence the other. We
show that these networks are growing Lorentz-invariant graphs with power-law
distributions of node degrees. These networks encode maximum information about
the observable universe available to a given observer.


title: Counting function for interior transmission eigenvalues

abstract:
  In this paper we give results on the counting function associated with the
interior transmission eigenvalues. For a complex refraction index we estimate
of the counting function by Ctn. In the case where the refraction index is
positive we give an equivalent of the counting function.


title:
Stochastic dynamics of adaptive trait and neutral marker driven by
  eco-evolutionary feedbacks

abstract:
  How the neutral diversity is affected by selection and adaptation is
investigated in an eco-evolutionary framework. In our model, we study a finite
population in continuous time, where each individual is characterized by a
trait under selection and a completely linked neutral marker. Population
dynamics are driven by births and deaths, mutations at birth, and competition
between individuals. Trait values influence ecological processes (demographic
events, competition), and competition generates selection on trait variation,
thus closing the eco-evolutionary feedback loop. The demographic effects of the
trait are also expected to influence the generation and maintenance of neutral
variation. We consider a large population limit with rare mutation, under the
assumption that the neutral marker mutates faster than the trait under
selection. We prove the convergence of the stochastic individual-based process
to a new measure-valued diffusive process with jumps that we call Substitution
Fleming-Viot Process (SFVP). When restricted to the trait space this process is
the Trait Substitution Sequence first introduced by Metz et al. (1996). During
the invasion of a favorable mutation, a genetical bottleneck occurs and the
marker associated with this favorable mutant is hitchhiked. By rigorously
analysing the hitchhiking effect and how the neutral diversity is restored
afterwards, we obtain the condition for a time-scale separation; under this
condition, we show that the marker distribution is approximated by a
Fleming-Viot distribution between two trait substitutions. We discuss the
implications of the SFVP for our understanding of the dynamics of neutral
variation under eco-evolutionary feedbacks and illustrate the main phenomena
with simulations. Our results highlight the joint importance of mutations,
ecological parameters, and trait values in the restoration of neutral diversity
after a selective sweep.


title: The right angle to look at orthogonal sets

abstract:
  If X and Y are orthogonal hyperdefinable sets such that X is simple, then any
group G interpretable in (X,Y) has a normal hyperdefinable X-internal subgroup
N such that G/N is Y-internal; N is unique up to commensurability. In order to
make sense of this statement, local simplicity theory for hyperdefinable sets
is developped. Moreover, a version of Schlichting's Theorem for hyperdefinable
families of commensurable subgroups is shown.


title: Singular integrals and maximal functions: the disk multiplier revisited

abstract:
  Several estimates for singular integrals, maximal functions and the spherical
summation operator are given in the spaces
$L^p_{\text{rad}}L^2_{\text{ang}}(\mathbb{R}^n)$, $n\geq 2$.


title: A posteriori analysis of Chorin-Temam scheme for Stokes equations

abstract:
  We consider Chorin-Temam scheme (the simplest pressure-correction projection
method) for the time-discretization of an unstationary Stokes problem. Inspired
by the analyses of the Backward Euler scheme performed by C.Bernardi and
R.Verf\"urth, we derive a posteriori estimators for the error on the velocity
gradient in L2 norm. Our invesigation is supported by numerical experiments.


title: Quantum invariants of deformed Fourier matrices

abstract:
  We study the deformed tensor products of complex Hadamard matrices,
$L_{ia,jb}=Q_{ib}H_{ij}K_{ab}$. One problem is that of reconstructing the
quantum group $G_L\subset S_{NM}^+$ out of the quantum groups $G_H\subset
S_N^+,G_K\subset S_M^+$ and of the parameter matrix $Q\in M_{N\times M}(\mathbb
T)$, and we obtain here several results, including complete results in the
Fourier matrix case, $H=F_N,K=F_M$, when the parameter matrix $Q$ is generic.