title:
The solvable monodromy extension property and varieties of log general
  type

abstract:
  We speculate on the relationship between the solvable monodromy extension
(SME) property and log canonical models. A motivating example is the moduli
space of smooth curves which, by earlier work, is known to have this SME
property. In this case the maximal SME compactification is the moduli space of
stable nodal curves which coincides with its log canonical model.


title: Non-Adaptive Distributed Compression in Networks

abstract:
  In this paper, we discuss non-adaptive distributed compression of inter-node
correlated real-valued messages. To do so, we discuss the performance of
conventional packet forwarding via routing, in terms of the total network load
versus the resulting quality of service (distortion level). As a better
alternative for packet forwarding, we briefly describe our previously proposed
one-step Quantized Network Coding (QNC), and make motivating arguments on its
advantage when the appropriate marginal rates for distributed source coding are
not available at the encoder source nodes. We also derive analytic guarantees
on the resulting distortion of our one-step QNC scenario. Finally, we conclude
the paper by providing a mathematical comparison between the total network
loads of one-step QNC and conventional packet forwarding, showing a significant
reduction in the case of one-step QNC.


title: Conservation laws, financial entropy and the Eurozone crisis

abstract:
  The report attempts of apply econophysics concepts to the Eurozone crisis. It
starts by examining the idea of conservation laws as applied to market
economies. It formulates a measure of financial entropy and gives numerical
simulations indicating that this tends to rise. We discuss an analogue for free
energy released during this process. The concepts of real and symbolic
appropriation are introduced as a means to analyse debt and taxation.
  We then examine the conflict between the conservation laws that apply to
commodity exchange with the exponential growth implied by capital accumulation
and how these have necessitated a sequence of evolutionary forms for money, and
go on to present a simple stochastic model for the formation of rates of
interest and a model for the time evolution of the rate of profit.
  Finally we apply the conservation law model to examining the Euro Crisis and
the European Stability pact, arguing that if the laws we hypothesise actually
hold, then the goals of the stability pact are unobtainable.


title: Optical lock-in particle tracking in optical tweezers

abstract:
  We demonstrate a lock-in particle tracking scheme in optical tweezers based
on stroboscopic modulation of an illuminating optical field. This scheme is
found to evade low frequency noise sources while otherwise producing an
equivalent position measurement to continuous measurement. This was
demonstrated, and found to yield on average 20dB of noise suppression in the
frequency range 10-5000 Hz, where low frequency laser noise and electronic
noise was significant, and 35 dB of noise suppression in the range 550-710 kHz
where laser relaxation oscillations introduced laser noise. The setup is
simple, and compatible with any trapping optics.


title:
Multi-site campaign for transit timing variations of WASP-12 b: possible
  detection of a long-period signal of planetary origin

abstract:
  The transiting planet WASP-12 b was identified as a potential target for
transit timing studies because a departure from a linear ephemeris was reported
in the literature. Such deviations could be caused by an additional planet in
the system. We attempt to confirm the existence of claimed variations in
transit timing and interpret its origin. We organised a multi-site campaign to
observe transits by WASP-12 b in three observing seasons, using 0.5-2.6-metre
telescopes. We obtained 61 transit light curves, many of them with
sub-millimagnitude precision. The simultaneous analysis of the best-quality
datasets allowed us to obtain refined system parameters, which agree with
values reported in previous studies. The residuals versus a linear ephemeris
reveal a possible periodic signal that may be approximated by a sinusoid with
an amplitude of 0.00068+/-0.00013 d and period of 500+/-20 orbital periods of
WASP-12 b. The joint analysis of timing data and published radial velocity
measurements results in a two-planet model which better explains observations
than single-planet scenarios. We hypothesize that WASP-12 b might be not the
only planet in the system and there might be the additional 0.1 M_Jup body on a
3.6-d eccentric orbit. A dynamical analysis indicates that the proposed
two-planet system is stable over long timescales.


title:
Neutrino spin oscillations in gravitational fields in non-commutative
  Spaces

abstract:
  We study neutrino spin oscillations in gravitational fields in
non-commutative spaces. For the Schwarzschild metric the maximum frequency
decreases with increasing the noncommutativity parameter. In the case of
Reissner-Nordstrom (RN) metric, the maximum frequency of oscillation is a
monotonically increasing function of the noncommutativity parameter .In both
cases, the frequency of spin oscillations decreases as the distance from the
gravitational source grows. We present a phenomenological application of our
results. It is also shown that the noncommutativity parameter is bounded as 0.1
l_p.


title: Young type inequalities for weighted spaces

abstract:
  We establish sharp convolution and multiplication estimates in weighted
Lebesgue, Fourier Lebesgue and modulation spaces. Especially we recover some
known results.


title: Understanding metropolitan patterns of daily encounters

abstract:
  Understanding of the mechanisms driving our daily face-to-face encounters is
still limited; the field lacks large-scale datasets describing both individual
behaviors and their collective interactions. However, here, with the help of
travel smart card data, we uncover such encounter mechanisms and structures by
constructing a time-resolved in-vehicle social encounter network on public
buses in a city (about 5 million residents). This is the first time that such a
large network of encounters has been identified and analyzed. Using a
population scale dataset, we find physical encounters display reproducible
temporal patterns, indicating that repeated encounters are regular and
identical. On an individual scale, we find that collective regularities
dominate distinct encounters' bounded nature. An individual's encounter
capability is rooted in his/her daily behavioral regularity, explaining the
emergence of "familiar strangers" in daily life. Strikingly, we find
individuals with repeated encounters are not grouped into small communities,
but become strongly connected over time, resulting in a large, but
imperceptible, small-world contact network or "structure of co-presence" across
the whole metropolitan area. Revealing the encounter pattern and identifying
this large-scale contact network are crucial to understanding the dynamics in
patterns of social acquaintances, collective human behaviors, and --
particularly -- disclosing the impact of human behavior on various
diffusion/spreading processes.


title: Infinite Matroids and Determinacy of Games

abstract:
  Solving a problem of Diestel and Pott, we construct a large class of infinite
matroids. These can be used to provide counterexamples against the natural
extension of the Well-quasi-ordering-Conjecture to infinite matroids and to
show that the class of planar infinite matroids does not have a universal
matroid.
  The existence of these matroids has a connection to Set Theory in that it
corresponds to the Determinacy of certain games. To show that our construction
gives matroids, we introduce a new very simple axiomatization of the class of
countable tame matroids.


title: Measurement-Induced-Nonlocality via the Unruh effect

abstract:
  Treated beyond the single-mode approximation, Measurement-Induced-Nonlocality
(MIN) is investigated for both Dirac and Bosonic fields in non-inertial frames.
Two distinctly differences between the Dirac and Bosonic fields are: (i) the
MIN for Dirac fields persists for any acceleration, while the quantity for
Bosonic fields does decay to zero in the infinite acceleration limit; (ii) the
dynamic behaviors of the MIN for Dirac fields is quite different from the
Bosonic fields case. Besides, we also study the nonlocality for Dirac fields
and find that the MIN is more general than the quantum nonlocality related to
violation of Bell's inequalities. Meanwhile some discussions of geometric
discord are presented too.


title:
Superpotentials, quantum parameter space and phase transitions in N=1
  supersymmetric gauge theories

abstract:
  We study the superpotentials, quantum parameter space and phase transitions
that arise in the study of large N dualities between $\mathcal{N}=1$ SUSY U(N)
gauge theories and string models on local Calabi-Yau manifolds. The main tool
of our analysis is a notion of spectral curve characterized by a set of complex
partial 't Hooft parameters and cuts given by projections on the spectral curve
of minimal supersymmetric cycles of the underlying Calabi-Yau manifold. In
particular we show how prepotentials and superpotentials can be associated to
spectral curves without relying on any holomorphic matrix model. As an
application, we use a combination of analytical and numerical methods to study
the cubic model, determine the analytic condition satisfied by critical one-cut
spectral curves, and characterize the transition curves between the one-cut and
two-cut phases both in the space of spectral curves and in the quantum
parameter space.


title:
Asymmetry of localised states in a single quantum ring: polarization
  dependence of excitons and biexcitons

abstract:
  We performed spectroscopic studies of a single GaAs quantum ring with an
anisotropy in the rim height. The presence of an asymmetric localised state was
suggested by the adiabatic potential. The asymmetry was investigated in terms
of the polarization dependence of excitons and biexcitons, where a large energy
di erence (0.8 meV) in the exciton emission energy for perpendicular
polarizations was observed and the oscillator strengths were also compared
using the photoluminescence decay rate. For perpendicular polarizations the
biexciton exhibits twice the energy di erence seen for the exciton, a fact that
may be attributed to a possible change in the selection rules for the lowered
symmetry.


title:
Asymptotic behavior for a singular diffusion equation with gradient
  absorption

abstract:
  We study the large time behavior of non-negative solutions to the singular
diffusion equation with gradient absorption $$ \partial_t u-\Delta_{p}u+|\nabla
u|^q=0 \quad \hbox{in} \ (0,\infty)\times\real^N, $$ for $p_c:=2N/(N+1)


title: Curved differential graded algebras and corings

abstract:
  A relationship between curved differential algebras and corings is
established and explored. In particular it is shown that the category of
semi-free curved differential graded algebras is equivalent to the category of
corings with surjective counits. Under this equivalence, comodules over a
coring correspond to integrable connections or quasi-cohesive curved modules,
while contramodules over a coring correspond to a specific class of curved
modules introduced and termed Z-divergences in here.


title:
Autocorrelation and Linear Complexity of Quaternary Sequences of Period
  2p Based on Cyclotomic Classes of Order Four

abstract:
  We examine the linear complexity and the autocorrelation properties of new
quaternary cyclotomic sequences of period 2p. The sequences are constructed via
the cyclotomic classes of order four.


title: Nonlocality and Entanglement via the Unruh effect

abstract:
  Modeling the qubit by a two-level semiclassical detector coupled to a
massless scalar field, we investigate how the Unruh effect affects the
nonlocality and entanglement of two-qubit and three-qubit states when one of
the entangled qubits is accelerated. Two distinct differences with the results
of free field model in non-inertial frames are (i) for the two-qubit state, the
CHSH inequality can not be violated for sufficiently large but finite
acceleration, furthermore, the concurrence will experience "sudden death"; and
(ii) for the three-qubit state, not only the entanglement vanishes in the
infinite acceleration limit, but also the Svetlichny inequality can not be
violated in the case of large acceleration.


title: A decomposition method to construct cubature formulae of degree 3

abstract:
  Numerical integration formulas in $n$-dimensional Euclidean space of degree
three are discussed. For the integrals with permutation symmetry we present a
method to construct its third-degree integration formulas with $2n$ real
points. We present a decomposition method and only need to deal with $n$
one-dimensional moment problems independently.


title: Onset of Non-Linearity in the Elastic Bending of Blocks

abstract:
  The classical flexure problem of non-linear incompressible elasticity is
revisited assuming that the bending angle suffered by the block is specified
instead of the usual applied moment. The general moment-bending angle
relationship is then obtained and is shown to be dependent on only one
non-dimensional parameter: the product of the aspect ratio of the block and the
bending angle. A Maclaurin series expansion in this parameter is then found.
The first-order term is proportional to $\mu$, the shear modulus of linear
elasticity; the second-order term is identically zero, because the moment is an
odd function of the angle; and the third-order term is proportional to
$\mu(4\beta -1)$, where $\beta$ is the non-linear shear coefficient, involving
third-order and fourth-order elasticity constants. It follows that bending
experiments provide an alternative way of estimating this coefficient, and the
results of one such experiment are presented. In passing, the coefficients of
Rivlin's expansion in exact non-linear elasticity are connected to those of
Landau in weakly (fourth-order) non-linear elasticity.


title: \alpha-clustering effects in dissipative 12C+12C reactions at 95 MeV

abstract:
  Dissipative 12C+12C reactions at 95 MeV are fully detected in charge with the
GARFIELD and RCo apparatuses at LNL. A comparison to a dedicated
Hauser-Feshbach calculation allows to select events which correspond, to a
large extent, to the statistical evaporation of highly excited 24Mg, as well as
to extract information on the isotopic distribution of the evaporation residues
in coincidence with their complete evaporation chain. Residual deviations from
a statistical behaviour are observed in \alpha yields and attributed to the
persistence of cluster correlations well above the 24Mg threshold for 6
\alpha's decay.


title: Spin-orbit splitting of the Shockley surface state on Cu(111)

abstract:
  We present angle-resolved photoemission data from Cu(111). Using a focused 6
eV continuous wave laser for photo-excitation, we achieve a high effective
momentum resolution enabling the first detection of the Rashba spin splitting
in the Shockley surface state on Cu(111). The magnitude of the spin-splitting
of Delta k ~ 0.006 A^-1 is surprisingly large and exceeds values predicted for
the analogous surface state on Ag(111) but is reproduced by first principles
calculations. We further resolve a kink in the dispersion which we attribute to
electron-phonon coupling.


title:
Evolutionary stability and resistance to cheating in an indirect
  reciprocity model based on reputation

abstract:
  Indirect reciprocity is one of the main mechanisms to explain the emergence
and sustainment of altruism in societies. The standard approach to indirect
reciprocity are reputation models. These are games in which players base their
decisions on their opponent's reputation gained in past interactions with other
players (moral assessment). The combination of actions and moral assessment
leads to a large diversity of strategies, thus determining the stability of any
of them against invasions by all the others is a difficult task. We use a
variant of a previously introduced reputation-based model that let us
systematically analyze all these invasions and determine which ones are
successful. Accordingly we are able to identify the third-order strategies
(those which, apart from the action, judge considering both the reputation of
the donor and that of the recipient) that are evolutionarily stable. Our
results reveal that if a strategy resists the invasion of any other one sharing
its same moral assessment, it can resist the invasion of any other strategy.
However, if actions are not always witnessed, cheaters (i.e., individuals with
a probability of defecting regardless of the opponent's reputation) have a
chance to defeat the stable strategies for some choices of the probabilities of
cheating and of being witnessed. Remarkably, by analyzing this issue with
adaptive dynamics we find that whether a honest population resists the invasion
of cheaters is determined by a Hamilton-like rule---with the probability that
the cheat is discovered playing the role of the relatedness parameter.


title:
A Probabilistic Approach to Analysis of Reliability in n-D Meshes with
  Interconnect Router Failures

abstract:
  The routing algorithms for parallel computers, on-chip networks, multi-core
processors, and multiprocessors system-on-chip (MP-SoCs) exhibit router
failures must be able to handle interconnect router failures that render a
symmetrical mesh non-symmetrically. When developing a routing methodology, the
time complexity of calculation should be minimal, and thus complicated routing
strategies to introduce profitable paths may not be appropriate. Several
reports have been released in the literature on using the concept of fault
rings to provide detour paths to messages blocked by faults and to route
messages around the fault regions. In order to analyze the performance of such
algorithms, it is required to investigate the characteristics of fault rings.
In this paper, we introduce a novel performance index of network reliability
presenting the probability of message facing fault rings, and evaluating the
performance-related reliability of adaptive routing schemes in n-D mesh-based
interconnection networks with a variety of common cause fault patterns.
Sufficient simulation results of Monte-Carlo method are conducted to
demonstrate the correctness of the proposed analytical model.


title: On a Lagrangian formulation of the incompressible Euler equation

abstract:
  In this paper we show that the incompressible Euler equation on the Sobolev
space $H^s(\R^n)$, $s > n/2+1$, can be expressed in Lagrangian coordinates as a
geodesic equation on an infinite dimensional manifold. Moreover the Christoffel
map describing the geodesic equation is real analytic. The dynamics in
Lagrangian coordinates is described on the group of volume preserving
diffeomorphisms, which is an analytic submanifold of the whole diffeomorphism
group. Furthermore it is shown that a Sobolev class vector field integrates to
a curve on the diffeomorphism group.


title:
Plasmonic Nanolasers Without Cavity, Threshold and Diffraction Limit
  using Stopped Light

abstract:
  We present a plasmonic waveguide where light pulses are stopped at
well-accessed complex-frequency zero-group-velocity points. Introducing gain at
such points results in cavity-free, "thresholdless" nanolasers beating the
diffraction limit via a novel, stopped-light mode-locking mechanism.


title:
Revival of Single-Particle Transport Theory for the Normal State of
  High-Tc Superconductors: II. Vertex Correction

abstract:
  The vertex correction for the electric current is discussed on the basis of
the Fermi-liquid theory. It does not alter the qualitative description of the
electric transport by the relaxation-time approximation in the case of the
normal state of high-Tc superconductors. The failure of the transport theory
employing the fluctuation-exchange (FLEX) approximation is pointed out. It
becomes manifest by considering the Ward identity for the fluctuation mode.


title: On the well-posedness of the incompressible Euler Equation

abstract:
  In this thesis we prove that the homogeneous incompressible Euler equation of
hydrodynamics on the Sobolev spaces $H^s(\R^n)$, $n \geq 2$ and $s > n/2+1$,
can be expressed as a geodesic equation on an infinite dimensional manifold. As
an application of this geometric formulation we prove that the solution map of
the incompressible Euler equation, associating intial data in $H^s(\R^n)$ to
the corresponding solution at time $t > 0$, is nowhere locally uniformly
continuous and nowhere differentiable.


title: Soliton-radiation trapping in gas-filled photonic crystal fibers

abstract:
  We propose an optical trapping technique in which a fundamental soliton traps
an ultrashort small amplitude radiation in a symmetric hollow-core photonic
crystal fiber filled with a noble gas, preventing its dispersion. The system is
Raman- and plasma-free. Trapping is due to the cross phase modulation effect
between the two pulses. The trapped radiation inside the soliton-induced
potential will oscillate periodically due to the shock effect, similar to the
motion of a mechanical pendulum.


title: Constant Gaussian curvature surfaces in the 3-sphere via loop groups

abstract:
  In this paper we study constant positive Gauss curvature $K$ surfaces in the
3-sphere $S^3$ with $0<K<1$ as well as constant negative curvature surfaces. We
show that the so-called normal Gauss map for a surface in $S^3$ with Gauss
curvature $K<1$ is Lorentz harmonic with respect to the metric induced by the
second fundamental form if and only if $K$ is constant. We give a uniform loop
group formulation for all such surfaces with $K\neq 0$, and use the generalized
d'Alembert method to construct examples. This representation gives a natural
correspondence between such surfaces with $K<0$ and those with $0<K<1$.


title: On coisotropic deformations of holomorphic submanifolds

abstract:
  We describe the differential graded Lie algebras governing Poisson
deformations of a holomorphic Poisson manifold and coisotropic embedded
deformations of a coisotropic holomorphic submanifold. In both cases, under
some mild additional assumption, we show that the infinitesimal first order
deformations induced by the anchor map are unobstructed. Applications include
the analog of Kodaira stability theorem for coisotropic deformation and a
generalization of McLean-Voisin's theorem about the local moduli space of
lagrangian submanifold. Finally it is shown that our construction is homotopy
equivalent to the homotopy Lie algebroid, in the cases where this is defined.


title: Stability of non-homegeneous models and fine tuning of initial state

abstract:
  We apply phase space analysis to inhomogeneous cosmological model given by
Lema\^itre-Tolman model. We describe some general conditions required to
interpret the model stable enough and, in the present paper, apply them to two
special cases: dust filled homogeneous model with and without cosmological
constant. We find that such stability explaining all present astrophysical
observations can not be achieved due to instabilities in phase space. This
hints that non-homogeneous models are not likely to be physically viable,
although any conclusive analysis requires more realistic modeling of
non-homogeneous universe.


title:
Neutrino textures and charged lepton flavour violation in light of
  theta13, MEG and LHC data

abstract:
  In light of recent results from the LHC, MEG and neutrino experiments, we
revisit the issue of charged lepton flavour violation (LFV) in supersymmetric
theories with massive neutrinos, where flavour-violating soft
supersymmetry-breaking masses for sleptons are induced naturally by radiative
corrections. We link our results to the expectations for neutrino mixing angles
in SU(5) enhanced by an abelian flavour symmetry, with particular focus on
$\theta_{13}$. We focus on the radiative decays $\ell_i \rightarrow \ell_j
\gamma$ and on detection prospects at the LHC and a linear collider (LC). We
use supersymmetric parameters consistent with cosmological considerations and
with LHC searches for supersymmetry and the Higgs mass. We find a class of
scenarios where the LHC may be sensitive to LFV sparticle decays and LFV
processes could be detectable at a LC with centre-of-mass energy above 1 TeV,
whereas LFV lepton decays may be suppressed by cancellations in the decay
amplitudes.


title:
Niobium nitride-based normal metal-insulator-superconductor tunnel
  junction microthermometer

abstract:
  We have successfully fabricated micron-scale Cu-AlO$_{x} $-Al-NbN normal
metal-insulator-superconductor (NIS) tunnel junction devices, using pulsed
laser deposition (PLD) for NbN film growth, and electron-beam lithography and
shadow evaporation for the final device fabrication. The subgap conductance of
these devices exhibit a strong temperature dependence, rendering them suitable
for thermometry from $\sim$ 0.1 K all the way up to the superconducting
transition temperature of the NbN layer, which was here $\sim 11$ K, but could
be extended up to $\sim 16$ K in our PLD chamber. Our data fits well to the
single particle NIS tunnel junction theory, with an observed proximised
superconducting gap value $\sim $ 1 meV for a 40 nm thick Al overlayer.
Although this high value of the superconducting energy gap is promising for
potential electronic NIS cooling applications as well, the high value of the
tunneling resistance inhibits electronic cooling in the present devices. Such
opaque barriers are, however, ideal for thermometry purposes as self-induced
thermal effects are thus minimized.


title:
Semi-microscopic description of the double backbending in some deformed
  even-even rare earth nuclei

abstract:
  A semi-microscopic model to study the neutron and proton induced backbending
phenomena in some deformed even-even nuclei from the rare earth region, is
proposed. The space of particle-core states is defined by the angular momentum
projection of a quadrupole deformed product state. The backbending phenomena
are described by mixing four rotational bands, defined by a set of angular
momentum projected states, and a model Hamiltonian describing a set of paired
particles moving in a deformed mean field and interacting with a
phenomenological deformed core. The ground band corresponds to the
configuration where all particles are paired while the other rotational bands
are built on one neutron or/and one proton broken pair. Four rare earth
even-even nuclei which present the second anomaly in the observed moments of
inertia are successfully treated within the proposed model.


title:
Entropic uncertainty relation for pointer-based simultaneous
  measurements of conjugate observables

abstract:
  We present a family of entropic uncertainty relations for pointer-based
simultaneous measurements of conjugate observables. The lower bounds of these
relations explicitly incorporate the influence of the measurement apparatus. We
achieve this by using a mathematical theorem which states that the information
entropy of convoluted probability distributions is bound from below. As a
consequence of these results we can straightforwardly show that appropriately
squeezed states are minimal entropy states for simultaneous measurements.


title: Quasiuniversal connectedness percolation of polydisperse rod systems

abstract:
  The connectedness percolation threshold (eta_c) and critical coordination
number (Z_c) of systems of penetrable spherocylinders characterized by a length
polydispersity are studied by way of Monte Carlo simulations for several aspect
ratio distributions. We find that (i) \eta_c is a nearly universal function of
the weight-averaged aspect ratio, with an approximate inverse dependence that
extends to aspect ratios that are well below the slender rod limit and (ii)
that percolation of impenetrable spherocylinders displays a similar
quasiuniversal behavior. For systems with a sufficiently high degree of
polydispersity, we find that Z_c can become smaller than unity, in analogy with
observations reported for generalized and complex networks.


title: Immersive VR Visualizations by VFIVE. Part 1: Development

abstract:
  We have been developing a visualization application for CAVE-type virtual
reality (VR) systems for more than a decade. This application, VFIVE, is
currently used in several CAVE systems in Japan for routine visualizations. It
is also used as a base system of further developments of advanced
visualizations. The development of VFIVE is summarized.


title: Immersive VR Visualizations by VFIVE. Part 2: Applications

abstract:
  VFIVE is a scientific visualization application for CAVE-type immersive
virtual reality systems. The source codes are freely available. VFIVE is used
as a research tool in various VR systems. It also lays the groundwork for
developments of new visualization software for CAVEs. In this paper, we pick up
five CAVE systems in four different institutions in Japan. Applications of
VFIVE in each CAVE system are summarized. Special emphases will be placed on
scientific and technical achievements made possible by VFIVE.


title:
Unexpected phase locking of magnetic fluctuations in the multi-k magnet
  USb

abstract:
  The spin waves in the multi-k antiferromagnet, USb, soften and become
quasielastic well below the AFM ordering temperature, T_N. This occurs without
a magnetic or structural transition. It has been suggested that this change is
in fact due to de-phasing of the different multi-k components: a switch from
3-k to 1-k behaviour. In this work, we use inelastic neutron scattering with
tri-directional polarisation analysis to probe the quasielastic magnetic
excitations and reveal that the 3-k structure does not de-phase. More
surprisingly, the paramagnetic correlations also maintain the same clear phase
correlations well above T_N (up to at least 1.4T_N). This precursor regime has
not been observed before in a multi-k system.


title:
Analysis of the triplet production by the circularly polarized photon at
  high energies

abstract:
  The possibility in principle of the determining high energy photon circular
polarization by the measurement of the created electron polarization in the
process of triplet photoproduction $\gamma +e^-\rightarrow e^+e^- +e^-$ is
investigated. The respective event number which depend on polarization states
of photon and created electron does not decrease with the growth of the photon
energy, and this circumstance can ensure the high efficiency in such kind of
experiments. We study different double and single distributions of the created
electron (or positron), which allow to probe the photon circular polarization
and to measure its magnitude (the Stock's parameter $\xi_2$), using the
technique of the Sudakov's variables. Some experimental setups with different
rules for event selection are studied and corresponding numerical estimations
are presented.


title:
A Framework for Intelligent Medical Diagnosis using Rough Set with
  Formal Concept Analysis

abstract:
  Medical diagnosis process vary in the degree to which they attempt to deal
with different complicating aspects of diagnosis such as relative importance of
symptoms, varied symptom pattern and the relation between diseases them selves.
Based on decision theory, in the past many mathematical models such as crisp
set, probability distribution, fuzzy set, intuitionistic fuzzy set were
developed to deal with complicating aspects of diagnosis. But, many such models
are failed to include important aspects of the expert decisions. Therefore, an
effort has been made to process inconsistencies in data being considered by
Pawlak with the introduction of rough set theory. Though rough set has major
advantages over the other methods, but it generates too many rules that create
many difficulties while taking decisions. Therefore, it is essential to
minimize the decision rules. In this paper, we use two processes such as pre
process and post process to mine suitable rules and to explore the relationship
among the attributes. In pre process we use rough set theory to mine suitable
rules, whereas in post process we use formal concept analysis from these
suitable rules to explore better knowledge and most important factors affecting
the decision making.


title: CO(1-0) detection of molecular gas in the massive Spiderweb Galaxy (z=2)

abstract:
  The high-redshift radio galaxy MRC 1138-262 (`Spiderweb Galaxy'; z = 2.16),
is one of the most massive systems in the early Universe and surrounded by a
dense `web' of proto-cluster galaxies. Using the Australia Telescope Compact
Array, we detected CO(1-0) emission from cold molecular gas -- the raw
ingredient for star formation -- across the Spiderweb Galaxy. We infer a
molecular gas mass of M(H2) = 6x10^10 M(sun) (for M(H2)/L'(CO)=0.8). While the
bulk of the molecular gas coincides with the central radio galaxy, there are
indications that a substantial fraction of this gas is associated with
satellite galaxies or spread across the inter-galactic medium on scales of tens
of kpc. In addition, we tentatively detect CO(1-0) in the star-forming
proto-cluster galaxy HAE 229, 250 kpc to the west. Our observations are
consistent with the fact that the Spiderweb Galaxy is building up its stellar
mass through a massive burst of widespread star formation. At maximum star
formation efficiency, the molecular gas will be able to sustain the current
star formation rate (SFR ~ 1400 M(sun)/yr, as traced by Seymour et al.) for
about 40 Myr. This is similar to the estimated typical lifetime of a major
starburst event in infra-red luminous merger systems.


title: Dimension distortion by Sobolev mappings in foliated metric spaces

abstract:
  We quantify the extent to which a supercritical Sobolev mapping can increase
the dimension of subsets of its domain, in the setting of metric measure spaces
supporting a Poincar\'e inequality. For foliations of a metric space X defined
by a David--Semmes regular mapping we quantitatively estimate, in terms of
Hausdorff dimension, the size of the set of leaves of the foliation that are
mapped onto sets of higher dimension. We discuss key examples of such
foliations, including foliations of the Heisenberg group by left and right
cosets of horizontal subgroups. Examples are given demonstrating the extent to
which our results are sharp. In fact, we show that the set of mappings that
distort the dimensions of sets by the maximum possible amount is a prevalent
subset of the relevant function space; the latter result is new even in
Euclidean space.


title: GRB 110709B in the Induced Gravitational Collapse paradigm

abstract:
  Context: GRB110709B is the first source for which Swift BAT triggered twice,
with a time separation of ~10 min. The first emission (Ep. 1) goes from 40s
before the 1{\deg} trigger up to 60s after it. The second (Ep. 2) goes from 35s
before the 2{\deg} trigger to 100s after it.[...] Within the Induced
Gravitational Collapse (IGC) model, we assume the progenitor to be a close
binary system composed of a core of an evolved star and a Neutron Star (NS).
The evolved star explodes as a Supernova (SN) and ejects material that is
partially accreted by the NS. We identify this process with Ep. 1. The
accretion process brings the NS over its critical mass, thus gravitationally
collapsing to a BH. This process leads to the GRB emission, Ep. 2.[...] Aims:
We analyze the spectra and time variability of Ep. 1 and 2 and compute the
relevant parameters of the binary progenitor[...] in the IGC paradigm. Methods:
We perform a time-resolved spectral analysis of Ep. 1 with a blackbody (BB)
plus a power-law (PL) spectral model. We analyze Ep. 2 within the Fireshell
model, identifying the Proper-GRB (P-GRB) and simulating the light curve and
spectrum. We establish the redshift to be z=0.75 [...]. Results: We find for
Ep. 1 a BB temperature following a broken PL with time, with the PL slopes at
early and late times \alpha=0 and \beta=-4+/-2, respectively, and a break at
t=41.21s. The total energy of Ep. 1 and 2 are E_{iso}^1=1.42x10^{53}erg and
E_{iso}^2=2.43x10^{52}erg, respectively. We find at transparency a Lorentz
factor \Gamma~173, laboratory radius of 6.04x10^{13}cm, P-GRB observed
temperature kT_{P-GRB}=12.36keV, baryon load B=0.0057 and P-GRB energy
E_{P-GRB}=3.44x10^{50}erg. [...] Conclusions: We interpret GRB110709B as a
member of the IGC sources, together with GRB970828, GRB090618 and GRB101023.
The XRT data during Ep. 2 offers an unprecedented tool for improving the
diagnostic of GRBs emission.


title: On the complexity of controlling quantum many-body dynamics

abstract:
  We demonstrate that arbitrary time evolutions of many-body quantum systems
can be reversed even in cases when only part of the Hamiltonian can be
controlled. The reversed dynamics obtained via optimal control --contrary to
standard time-reversal procedures-- is extremely robust to external sources of
noise. We provide a lower bound on the control complexity of a many-body
quantum dynamics in terms of the dimension of the manifold supporting it,
elucidating the role played by integrability in this context.


title:
Centers for the restricted category O at the critical level over affine
  Kac-Moody algebras

abstract:
  The restricted category O at the critical level over an affine Kac-Moody
algebra is a certain subcategory of the ordinary BGG-category O. We study a
deformed version introduced by Arakawa and Fiebig and calculate the center of
the deformed restricted category O.


title:
Multi-variate joint PDF for non-Gaussianities: exact formulation and
  generic approximations

abstract:
  We provide an exact expression for the multi-variate joint probability
distribution function of non-Gaussian fields primordially arising from local
transformations of a Gaussian field. This kind of non-Gaussianity is generated
in many models of inflation. We apply our expression to the non- Gaussianity
estimation from Cosmic Microwave Background maps and the halo mass function
where we obtain analytical expressions. We also provide analytic approximations
and their range of validity. For the Cosmic Microwave Background we give a fast
way to compute the PDF which is valid up to 7{\sigma} for fNL values (both true
and sampled) not ruled out by current observations, which consists of
expressing the PDF as a combination of bispectrum and trispectrum of the
temperature maps. The resulting expression is valid for any kind of
non-Gaussianity and is not limited to the local type. The above results may
serve as the basis for a fully Bayesian analysis of the non-Gaussianity
parameter.


title:
A direct time measurements technique for the two-dimensional precision
  coordinate detectors based on thin-walled drift tubes

abstract:
  This article presents the results of a study of the longitudinal spatial
resolution of 2 m long straw tubes by means of the direct timing method (DTM).
The feasibility of achieving a coordinate resolution (r.m.s.) better than 2 cm
over full length of the straw is demonstrated. The spatial resolution
insignificantly changes when measured by detecting gammas from a Fe-55 gamma
ray source or minimum ionizing particles from a Ru-106 source. The use of the
same type of FEE for data taking both for measuring the drift time of
ionization electrons and propagation of a signal along the anode wire allows
one to construct a two-dimensional detector for precision coordinate
measurements.


title: A compactness tool for the analysis of nonlocal evolution equations

abstract:
  In this paper we give a new compactness criterion in the Lebesgue spaces
$L^p((0,T)\times \Omega)$ and use it to obtain the first term in the asymptotic
behaviour of the solutions of a nonlocal convection diffusion equation. We use
previous results of Bourgain, Brezis and Mironescu to give a new criterion in
the spirit of the Aubin-Lions-Simon Lemma.


title: Holography and hydrodynamics for EMD theory with two Maxwell fields

abstract:
  We use `generalized dimensional reduction' to relate a specific
Einstein-Maxwell-Dilaton (EMD) theory, including two gauge fields, three
neutral scalars and an axion, to higher-dimensional AdS gravity (with no
higher-dimensional Maxwell field). In general, this is a dimensional reduction
over compact Einstein spaces in which the dimension of the compact space is
continued to non-integral values. Specifically, we perform a non-diagonal
Kaluza-Klein (KK) reduction over a torus, involving two KK gauge fields. Our
aim is to determine the holographic dictionary and hydrodynamic behaviour of
the lower-dimensional theory by performing the generalized dimensional
reduction on AdS. We study a specific example of a black brane carrying a wave,
whose universal sector is described by gravity coupled to two Maxwell fields,
three neutral scalars and an axion, and compute the first order transport
coefficients of the dual theory. In these theories $\hat{\z}_s / \hat{\eta} <
2(1(d-1)-\hat{c}_s^2)$, where $\hat{c}_s$ is the speed of sound, violating a
conjectured bound, but an alternative bound is satisfied.


title: Fast algorithms for ell-adic towers over finite fields

abstract:
  Inspired by previous work of Shoup, Lenstra-De Smit and Couveignes-Lercier,
we give fast algorithms to compute in (the first levels of) the ell-adic
closure of a finite field. In many cases, our algorithms have quasi-linear
complexity.


title:
Improving the lifecycle of robotics components using Domain-Specific
  Languages

abstract:
  There is currently a large amount of robotics software using the
component-oriented programming paradigm. However, the rapid growth in number
and complexity of components may compromise the scalability and the whole
lifecycle of robotics software systems. Model-Driven Engineering can be used to
mitigate these problems. This paper describes how using Domain-Specific
Languages to generate and describe critical parts of robotic systems helps
developers to perform component managerial tasks such as component creation,
modification, monitoring and deployment. Four different DSLs are proposed in
this paper: i) CDSL for specifying the structure of the components, ii) IDSL
for the description of their interfaces, iii) DDSL for describing the
deployment process of component networks and iv) PDSL to define and configure
component parameters. Their benefits have been demonstrated after their
implementation in RoboComp, a general-purpose and component-based robotics
framework. Examples of the usage of these DSLs are shown along with experiments
that demonstrate the benefits they bring to the lifecycle of the components.


title: The semigroups of order 9 and their automorphism groups

abstract:
  We report the number of semigroups with 9 elements up to isomorphism or
anti-isomorphism to be 52,989,400,714,478 and up to isomorphism to be
105,978,177,936,292. We obtained these results by combining computer search
with recently published formulae for the number of nilpotent semigroups of
degree 3. We further provide a complete account of the automorphism groups of
the semigroups with at most 9 elements. We use this information to deduce that
there are 148,195,347,518,186 distinct associative binary operations on an
8-element set and 38,447,365,355,811,944,462 on a 9-element set.


title:
Exponential Convergence for Semilinear SDEs Driven by L\'evy Processes
  on Hilbert Spaces

abstract:
  In this paper, an integration by parts formula was derived for jump processes
on Hilbert spaces. Using this formula, we investigated derivative formula and
exponential ergodicity for nonlinear SPDEs driven by purely jump processes.


title:
Application of the sextic oscillator with centrifugal barrier and the
  spheroidal equation for some X(5) candidate nuclei

abstract:
  The eigenvalue equation associated to the Bohr-Mottelson Hamiltonian is
considered in the intrinsic reference frame and amended by replacing the
harmonic oscillator potential in the $\beta$ variable with a sextic oscillator
potential with centrifugal barrier plus a periodic potential for the $\gamma$
variable. After the separation of variables, the $\beta$ equation is
quasi-exactly solved, while the solutions for the $\gamma$ equation are just
the angular spheroidal functions. An anharmonic transition operator is used to
determine the reduced E2 transition probabilities. The formalism is
conventionally called the Sextic and Spheroidal Approach (SSA) and applied for
several X(5) candidate nuclei: $^{176,178,180,188,190}$Os, $^{150}$Nd,
$^{170}$W, $^{156}$Dy, $^{166,168}$Hf. The SSA predictions are in good
agreement with the experimental data of the mentioned nuclei. The comparison of
the SSA results with those yielded by other models, such as X(5) \cite{Iache9},
Infinite Square Well (ISW) \cite{Raduta}, and Davidson (D) like potential
\cite{Raduta} for the $\beta$, otherwise keeping the spheroidal functions for
the $\gamma$, and the Coherent State Model (CSM)
\cite{Rad1,Rad2,Rad3,Rad4,RaSa,Rad5} respectively, suggests that SSA represents
a good approach to describe nuclei achieving the critical point of the
U(5)$\rightarrow$SU(3) shape phase transition.


title:
Technique for Magnetic Susceptibility Determination in the High Doped
  Semiconductors by Electron Spin Resonance

abstract:
  Method for determining the magnetic susceptibility in the high doped
semiconductors is considered. A procedure that is based on double integration
of the positive part of the derivative of the absorption line having a Dyson
shape and takes into account the depth of the skin layer is described. Analysis
is made for the example of arsenic doped germanium samples at a rather high
concentration corresponding to the insulator metal phase transition.


title: Explorative Data Analysis for Changes in Neural Activity

abstract:
  Neural recordings are nonstationary time series, i.e. their properties
typically change over time. Identifying specific changes, e.g. those induced by
a learning task, can shed light on the underlying neural processes. However,
such changes of interest are often masked by strong unrelated changes, which
can be of physiological origin or due to measurement artifacts. We propose a
novel algorithm for disentangling such different causes of non-stationarity and
in this manner enable better neurophysiological interpretation for a wider set
of experimental paradigms. A key ingredient is the repeated application of
Stationary Subspace Analysis (SSA) using different temporal scales. The
usefulness of our explorative approach is demonstrated in simulations, theory
and EEG experiments with 80 Brain-Computer-Interfacing (BCI) subjects.


title: Excitons and Cavity Polaritons for Optical Lattice Ultracold Atoms

abstract:
  Ultracold atoms uniformly filling an optical lattice can be treated like an
artificial crystal. An implementation including the atomic occupation of a
single excited atomic state can be represented by a two-component Bose-Hubbard
model. Its phase diagram exhibits a quantum phase transition from a superfluid
to a Mott insulator phase. The dynamics of electronic excitations governed by
electrostatic dipole-dipole interactions in the ordered regime can be well
described by wave-like collective excitations called excitons. Here we present
an extensive study of such excitons for a wide range of geometries and
dimensionality. Their lifetimes can vary over many orders of magnitude from
metastable propagation to superradiant decay. Particularly strong effects occur
in one dimensional atomic chains coupled to tapered optical fibers. For an
optical lattice within a cavity the excitons are coupled to cavity photons and
the resulting collective cavity QED model can be efficiently formulated in
terms of polaritons. Their properties are explicitly calculated for different
lattices and they constitute a non-destructive monitoring tool for important
system properties. Even the formation of molecules in optical lattices
manifests itself in modified polariton properties as e.g. an anisotropic
optical spectrum. Partial dissipation of the exciton energy in the lattice
leads to heating, which can be microscopically understood through a mechanism
transferring atoms into higher Bloch bands via a resonant excitation transfer
among neighboring lattice sites. The presence of lattice defects like vacancies
in the Mott insulator induces a characteristic scattering of polaritons, which
can be optically observed to monitor the lattice integrity. Our models can be
applied to simulate and understand corresponding collective phenomena in solid
crystals, where many effects are often masked by noise and disorder.


title:
Spectrum of the Anomalous Microwave Emission in the North Celestial Pole
  with WMAP 7-Year data

abstract:
  We estimate the frequency spectrum of the diffuse anomalous microwave
emission (AME) on the North Celestial Pole (NCP) region of the sky with the
Correlated Component Analysis (CCA) component separation method applied to WMAP
7-yr data. The NCP is a suitable region for this analysis because the AME is
weakly contaminated by synchrotron and free-free emission. By modeling the AME
component as a peaked spectrum we estimate the peak frequency to be
$21.7\pm0.8$\,GHz, in agreement with previous analyses which favored $\nu_{\rm
p}<23$\,GHz. The ability of our method to correctly recover the position of the
peak is verified through simulations. We compare the estimated AME spectrum
with theoretical spinning dust models to constrain the hydrogen density $n_{\rm
H}$. The best results are obtained with densities around 0.2--0.3\,cm$^{-3}$,
typical of warm ionised medium (WIM) to warm neutral medium (WNM) conditions.
The degeneracy with the gas temperature prevents an accurate determination of
$n_{\rm H}$, especially for low hydrogen ionization fractions, where densities
of a few cm$^{-3}$ are also allowed.


title:
Atmospheric escape from HD 189733b observed in HI Lyman-alpha: detailed
  analysis of HST/STIS September 2011 observations

abstract:
  Observations of transits of the hot giant exoplanet HD 189733b in the
unresolved HI Lyman-alpha line show signs of hydrogen escaping the upper
atmosphere of the planet. New resolved Lyman-alpha observations obtained with
the STIS spectrograph onboard the Hubble Space Telescope in April 2010 and
September 2011 confirmed that the planet is evaporating, and furthermore
discovered significant temporal variations in the physical conditions of its
evaporating atmosphere. Here we present a detailed analysis of the September
2011 observations of HD 189733b, when an atmospheric signature was detected. We
present specific methods to find and characterize this absorption signature of
escaping hydrogen in the Lyman-alpha line, and to calculate its false-positive
probability, found to be 3.6%. Taking advantage of the spectral resolution and
high sensitivity of the STIS spectrograph, we also present new results on
temporal and spectro-temporal variability of this absorption feature. We also
report the observation of HD 189733b in other lines (SiIII at 1206.5A, NV at
1240A). Variations in these lines could be explained either by early
occultation by a bow-shock rich in highly ionized species, or by stellar
variations.


title: Single-electron source: Adiabatic versus non-adiabatic emission

abstract:
  We investigate adiabatic and non-adiabatic emission of single particles into
an edge state using an analytically solvable dynamical scattering matrix model
of an on-demand source. We compare adiabatic and non-adiabatic emissions by
considering two geometries: a collider geometry where two emitters are coupled
to two different edge states and a series geometry where two emitters are
coupled to the same edge state. Most effects observed for adiabatic emitters
also occur for non-adiabatic emitters. In particular this applies to effects
arising due to the overlap of wave-packets colliding at a quantum point
contact. Specifically we compare the Pauli peak (the fermionic analog of the
bosonic Hong-Ou-Mandel dip) for the adiabatic and non-adiabatic collider and
find them to be similar. In contrast we find a striking difference between the
two operating conditions in the series geometry in which particles are emitted
into the same edge state. Whereas the squared average charge current can be
nullified for both operating conditions, the heat current can be made to vanish
only with adiabatic emitters.


title:
On the origin and movement of the poles in the coupled channels model
  for $\bar{K}N$ interactions

abstract:
  The origin of the poles generated by chiral coupled-channel dynamics and
applied to $\bar{K}N$ interactions is related to the nonzero diagonal couplings
in the $\pi\Sigma$, $\bar{K}N$ and $K\Xi$ channels. An evolution of the poles
from the zero coupling limit and from a limit of restored SU(3) symmetry is
discussed.


title: Taylor Domination, Tur\'an lemma, and Poincar\'e-Perron Sequences

abstract:
  We consider "Taylor domination" property for an analytic function
$f(z)=\sum_{k=0}^{\infty}a_{k}z^{k},$ in the complex disk $D_R$, which is an
inequality of the form \[ |a_{k}|R^{k}\leq C\ \max_{i=0,\dots,N}\ |a_{i}|R^{i},
\ k \geq N+1. \] This property is closely related to the classical notion of
"valency" of $f$ in $D_R$. For $f$ - rational function we show that Taylor
domination is essentially equivalent to a well-known and widely used Tur\'an's
inequality on the sums of powers.
  Next we consider linear recurrence relations of the Poincar\'e type \[
a_{k}=\sum_{j=1}^{d}[c_{j}+\psi_{j}(k)]a_{k-j},\ \
k=d,d+1,\dots,\quad\text{with }\lim_{k\rightarrow\infty}\psi_{j}(k)=0. \] We
show that the generating functions of their solutions possess Taylor domination
with explicitly specified parameters. As the main example we consider moment
generating functions, i.e. the Stieltjes transforms \[
S_{g}\left(z\right)=\int\frac{g\left(x\right)dx}{1-zx}. \] We show Taylor
domination property for such $S_{g}$ when $g$ is a piecewise D-finite function,
satisfying on each continuity segment a linear ODE with polynomial
coefficients.


title:
Change in the order of magnetic transition in HoRhGe as probed by
  magnetoresistance and magnetocaloric studies

abstract:
  Magnetoresistance and magnetocaloric properties of polycrystalline HoRhGe
have been studied. This compound orders antiferromagnetically with a Neel
temperature (TN) of 5.5 K and undergoes a first order metamagnetic transition
at 2 K. It shows a large negative magnetoresistance of 25% at TN, for a field
of 50 kOe. However, at 2 K and in lower fields, the magnetoresistance is found
to be positive with a magnitude of about 12%, which is attributed to the first
order metamagnetic transition. The compound also shows large magnetocaloric
effect near its Neel temperature. Field dependence of magnetic entropy change
also reflects the change in the nature of magnetic transition as the field is
increased. The value of magnetic entropy change (-{\Delta}SM) is found to be
11.1 J/kg K for a field change of 50 kOe. Field dependence of magnetoresistance
and magnetocaloric effect clearly shows the change in the order of the
metamagnetic transition with increase in field.


title:
On the origin of W UMa type Contact binaries - a new method for
  computation of initial masses

abstract:
  W UMa type binaries have two defining characteristics. These are (i) the
effective temperatures of both components are very similar, and (ii) the
secondary (currently less massive) component is overluminous for its current
mass. We consider the latter to be an indication of its mass before the
mass-transfer event. For these stars we define a mass difference ($\delta M$)
between the mass determined from its luminosity and the present mass determined
from fitting the binary orbit. We compare the observed values of the mass
difference to stellar models with mass loss. The range of initial secondary
masses that we find for observed W UMa type binaries is 1.3-2.6 M$_{\odot}$. We
discover that the A- and the W-subtype contact binaries have different ranges
of initial secondary masses. Binary systems with an initial mass higher than
$1.8 \pm 0.1$ M$_{\odot}$ become A-subtype while systems with initial masses
lower than this become W-subtype. Only 6 per cent of systems violate this
behavior. We also obtain the initial masses of the primaries using the
following constraint for the reciprocal of initial mass ratio: $0 < 1/q_i < 1$.
The range of initial masses we find for the primaries is 0.2-1.5 M$_{\odot}$,
except for two systems. Finally in comparing our models to observed systems we
find evidence that the mass transfer process is not conservative. We find that
only 34 per cent of the mass from the secondary is transferred to the primary.
The remainder is lost from the system.


title: Itinerant ferromagnetism with finite ranged interactions

abstract:
  Quantum fluctuations are of central importance in itinerant ferromagnets; in
the case of the Stoner Hamiltonian, with contact interactions, they deliver a
rich phase diagram featuring a first order ferromagnetic transition preempted
by a spin spiral and a paired density wave. However, to date all analyses of
fluctuation corrections neglect the finite ranged nature of the Coulomb
interaction. We develop the formalism to consider the effects of fluctuations
with a realistic screened Coulomb potential. The finite ranged interaction
suppresses the tricritical point temperature of the first order ferromagnetic
transition, bringing theory into line with experiment, whilst retaining the
exotic spin spiral and paired density wave. In an ultracold atomic gas a finite
ranged interaction damps the competing molecular instability, permitting the
observation of ferromagnetic correlations.


title: SIDDHARTA impact on $\bar{K}N$ amplitudes used in in-medium applications

abstract:
  We have performed new fits of our chirally motivated coupled--channels model
for meson-baryon interactions and discussed the impact of the SIDDHARTA
measurement on the $\bar{K}N$ amplitudes in the free space and in nuclear
medium. The kaon--nucleon amplitudes generated by the model are fully
consistent with our earlier studies that used the older kaonic hydrogen data by
the DEAR collaboration. The subthreshold energy dependence of the in-medium
$\bar{K}N$ amplitudes plays a crucial role in $\bar{K}$--nuclear applications.


title: Gravothermal Catastrophe: the dynamical stability of a fluid model

abstract:
  A re-investigation of the gravothermal catastrophe is presented. By means of
a linear perturbation analysis, we study the dynamical stability of a spherical
self-gravitating isothermal fluid of finite volume and find that the conditions
for the onset of the gravothermal catastrophe, under different external
conditions, coincide with those obtained from thermodynamical arguments. This
suggests that the gravothermal catastrophe may reduce to Jeans instability,
rediscovered in an inhomogeneous framework. We find normal modes and
frequencies for the fluid system and show that instability develops on the
dynamical time scale. We then discuss several related issues. In particular:
(1) For perturbations at constant total energy and constant volume, we
introduce a simple heuristic term in the energy budget to mimic the role of
binaries. (2) We outline the analysis of the two-component case and show how
linear perturbation analysis can be carried out also in this more complex
context in a relatively straightforward way. (3) We compare the behavior of the
fluid model with that of the collisionless sphere. In the collisionless case
the instability seems to disappear, which is at variance with the linear Jeans
stability analysis in the homogeneous case; we argue that a key ingredient to
understand the difference (a spherical stellar system is expected to undergo
the gravothermal catastrophe only in the presence of some collisionality, which
suggests that the instability is dissipative and not dynamical) lies in the
role of the detailed angular momentum in a collisionless system. Finally, we
briefly comment on the meaning of the Boltzmann entropy and its applicability
to the study of the dynamics of self- gravitating inhomogeneous gaseous
systems.


title: Recycling Proof Patterns in Coq: Case Studies

abstract:
  Development of Interactive Theorem Provers has led to the creation of big
libraries and varied infrastructures for formal proofs. However, despite (or
perhaps due to) their sophistication, the re-use of libraries by non-experts or
across domains is a challenge. In this paper, we provide detailed case studies
and evaluate the machine-learning tool ML4PG built to interactively data-mine
the electronic libraries of proofs, and to provide user guidance on the basis
of proof patterns found in the existing libraries.


title: Search for \eta-->e+e- decay with the WASA experiment

abstract:
  Nowadays the field of searching for a new physics became a very interesting
subject in a light meson decays due to a recent results from KTeV collaboration
which found the 3.3\sigma\ disagreement between Standard Model theory and their
results of \pi 0-->e+e- branching ratio measurement. They propose to explain
this discrepancy with a new U boson particle that interacts both with meson and
virtual photon producing e+e- pair. The same effect could be observed in eta
meson decay into electron-positron. The current branching ratio limit is far
away from the predicted non-Standard Model theory and due to that fact it
cannot distinguish between Standard Model and more exotic explanation. The
following report shows the analysis highlights for searching for a such effect
in pp --> pp (\eta --> e+e-) at 1.4 GeV produced in WASA@COSY experiment.


title: Mosaic number of knots

abstract:
  Lomonaco and Kauffman developed knot mosaics to give a definition of a
quantum knot system. This definition is intended to represent an actual
physical quantum system. A knot $n$-mosaic is an $n \times n$ matrix of 11
kinds of specific mosaic tiles representing a knot or a link. The mosaic number
$m(K)$ of a knot $K$ is the smallest integer $n$ for which $K$ is representable
as a knot $n$-mosaic. In this paper we establish an upper bound on the mosaic
number of a knot or a link $K$ in terms of the crossing number $c(K)$. Let $K$
be a nontrivial knot or a non-split link except the Hopf link. Then $m(K) \leq
c(K) + 1$. Moreover if $K$ is prime and non-alternating except $6^3_3$ link,
then $m(K) \leq c(K) - 1$.


title: On de Rham and Dolbeault Cohomology of Solvmanifolds

abstract:
  For a simply connected (non-nilpotent) solvable Lie group $G$ with a lattice
$\Gamma$ the de Rham and Dolbeault cohomologies of the solvmanifold $G/\Gamma$
are not in general isomorphic to the cohomologies of the Lie algebra $\mathfrak
g$ of $G$. In this paper we construct, up to a finite group, a new Lie algebra
$\tilde{\mathfrak g}$ whose cohomology is isomorphic to the de Rham cohomology
of $G/\Gamma$ by using a modification of $G$ associated with a algebraic
sub-torus of the Zariski-closure of the image of the adjoint representation.
This technique includes the construction due to Guan and developed by the first
two authors. In this paper, we also give a Dolbeault version of such technique
for complex solvmanifolds, i.e. for solvmanifolds endowed with an invariant
complex structure. We construct a finite dimensional cochain complex which
computes the Dolbeault cohomology of a complex solvmanifold $G/\Gamma$ with
holomorphic Mostow bundle and we give a construction of a new Lie algebra
$\breve {\mathfrak g}$ with a complex structure whose cohomology is isomorphic
to the Dolbeault cohomology of $G/\Gamma$.


title:
Is Planck's Constant h a "Quantum" Constant? An Alternative Classical
  Interpretation

abstract:
  Although Planck's constant h is currently regarded as the elementary quantum
of action appearing in quantum theory, it can also be interpreted as the
multiplicative scale factor setting the scale of classical zero-point radiation
appearing in classical electromagnetic theory. Relativistic classical electron
theory with classical electromagnetic zero-point radiation gives many results
in agreement with quantum theory. The areas of agreement between this classical
theory and Nature seem worth further investigation.


title:
Implicit Methods for Equation-Free Analysis: Convergence Results and
  Analysis of Emergent Waves in Microscopic Traffic Models

abstract:
  We introduce a general formulation for an implicit equation-free method in
the setting of slow-fast systems. First, we give a rigorous convergence result
for equation-free analysis showing that the implicitly defined coarse-level
time stepper converges to the true dynamics on the slow manifold within an
error that is exponentially small with respect to the small parameter measuring
time scale separation. Second, we apply this result to the idealized traffic
modeling problem of phantom jams generated by cars with uniform behavior on a
circular road. The traffic jams are waves that travel slowly against the
direction of traffic. Equation-free analysis enables us to investigate the
behavior of the microscopic traffic model on a macroscopic level. The standard
deviation of cars' headways is chosen as the macroscopic measure of the
underlying dynamics such that traveling wave solutions correspond to equilibria
on the macroscopic level in the equation-free setup. The collapse of the
traffic jam to the free flow then corresponds to a saddle-node bifurcation of
this macroscopic equilibrium. We continue this bifurcation in two parameters
using equation-free analysis.


title: Newton-Machian analysis of Neo-tychonian model of planetary motions

abstract:
  The calculation of the trajectories in the Sun-Earth-Mars system will be
performed in two different models, both in the framework of Newtonian
mechanics. First model is well-known Copernican system, which assumes the Sun
is at rest and all the planets orbit around it. Second one is less-known model
developed by Tycho Brahe (1546-1601), according to which the Earth stands
still, the Sun orbits around the Earth, and other planets orbit around the Sun.
The term "Neo-tychonian system" refers to the assumption that orbits of distant
masses around the Earth are synchronized with the Sun's orbit. It is the aim of
this paper to show the kinematical and dynamical equivalence of these systems,
under the assumption of Mach's principle.


title: Experimenting an optical second with strontium lattice clocks

abstract:
  Progress in realizing the SI second had multiple technological impacts and
enabled to further constraint theoretical models in fundamental physics.
Caesium microwave fountains, realizing best the second according to its current
definition with a relative uncertainty of 2-4x10^(-16), have already been
superseded by atomic clocks referenced to an optical transition, both more
stable and more accurate. Are we ready for a new definition of the second? Here
we present an important step in this direction: our system of five clocks
connects with an unprecedented consistency the optical and the microwave
worlds. For the first time, two state-of-the-art strontium optical lattice
clocks are proven to agree within their accuracy budget, with a total
uncertainty of 1.6x10^(-16). Their comparison with three independent caesium
fountains shows a degree of reproducibility henceforth solely limited at the
level of 3.1x10^(-16) by the best realizations of the microwave-defined second.


title: Free boundary on a cone

abstract:
  We study two phase problems posed over a two dimensional cone generated by a
smooth curve $\gamma$ on the unit sphere. We show that when
$length(\gamma)<2\pi$ the free boundary avoids the vertex of the cone. When
$length(\gamma) \geq 2\pi$ we provide examples of minimizers such that the
vertex belongs to the free boundary.


title:
Polarization Bremsstrahlung in collissions of fast ions with multiatomic
  targets

abstract:
  We consider the processes of polarization bremsstrahlung in collisions of
fast ions with linear chains consisting of isolated atoms. We obtained
intensities and angular distributions of radiation spectra for arbitrary number
of atoms in the chain. It appeared that interference in the photon radiation
amplitudes lead to prominent variation of spectral angular distributions of
polarization bremsstrahlung as compared to these distribuitions in collisions
with an isolated atom. The mean loss of energy due to radiation or the
so-called rediative friction is estimated. The results obtained permit standard
generalization to the case of polarization bremsstrahlung in fast ion
chanelling above surfaces an and in solid body.


title:
The Interior Structure Constants as an Age Diagnostic for Low-Mass,
  Pre-Main Sequence Detached Eclipsing Binary Stars

abstract:
  We propose a novel method for determining the ages of low-mass, pre-main
sequence stellar systems using the apsidal motion of low-mass detached
eclipsing binaries. The apsidal motion of a binary system with an eccentric
orbit provides information regarding the interior structure constants of the
individual stars. These constants are related to the normalized stellar
interior density distribution and can be extracted from the predictions of
stellar evolution models. We demonstrate that low-mass, pre-main sequence stars
undergoing radiative core contraction display rapidly changing interior
structure constants (greater than 5% per 10 Myr) that, when combined with
observational determinations of the interior structure constants (with 5 -- 10%
precision), allow for a robust age estimate. This age estimate, unlike those
based on surface quantities, is largely insensitive to the surface layer where
effects of magnetic activity are likely to be most pronounced. On the main
sequence, where age sensitivity is minimal, the interior structure constants
provide a valuable test of the physics used in stellar structure models of
low-mass stars. There are currently no known systems where this technique is
applicable. Nevertheless, the emphasis on time domain astronomy with current
missions, such as Kepler, and future missions, such as LSST, has the potential
to discover systems where the proposed method will be observationally feasible.


title: Kinetically driven ordered phase formation in binary colloidal crystals

abstract:
  The aggregation of binary colloids of same size and balanced charges is
studied by Brownian dynamics simulations for dilute suspensions. It is shown
that, under appropriate conditions, the formation of colloidal crystals is
dominated by kinetic effects leading to the growth of well-ordered crystallites
of the sodium-chloride (NaCl) bulk phase. These crystallites form with very
high probability even when the cesium-chloride (CsCl) phase is more stable
thermodynamically. Global optimization searches show that this result is not
related to the most favorable structures of small clusters, that are either
amorphous or of CsCl structure. The formation of the NaCl phase is related to
the specific kinetics of the crystallization process, which takes place by a
two-step mechanism. In this mechanism, dense fluid aggregates form at first and
then crystallization follows. It is shown that the type of short-range order in
these dense fluid aggregates determines which phase is finally formed in the
crystallites. The role of hydrodynamic effects in the aggregation process is
analyzed by Stochastic Rotation Dynamics - Molecular Dynamics simulations,
finding that these effects do not play a major role in the formation of the
crystallites.


title: Optimal working points for continuous-variable quantum channels

abstract:
  The most important ability of a quantum channel is to preserve the quantum
properties of transmitted quantum states. We experimentally demonstrate a
continuous-variable system for efficient benchmarking of quantum channels. We
probe the tested quantum channels for a wide range of experimental parameters
such as amplitude, phase noise and channel lengths up to 40 km. The data is
analyzed using the framework of effective entanglement. We subsequently are
able to deduce an optimal point of operation for each quantum channel with
respect to the rate of distributed entanglement. This procedure is a promising
candidate for benchmarking quantum nodes and individual links in large quantum
networks of different physical implementations.


title:
The Role of the Equation of State in Resistive Relativistic
  Magnetohydrodynamics

abstract:
  We have investigated the role of the equation of state in resistive
relativistic magnetohydrodynamics using a newly developed resistive
relativistic magnetohydrodynamic code. A number of numerical tests in
one-dimension and multi-dimensions are carried out in order to check the
robustness and accuracy of the new code. The code passes all the tests in
situations involving both small and large uniform conductivities. Equations of
state which closely approximate the single-component perfect relativistic gas
are introduced. Results from selected numerical tests using different equations
of state are compared. The main conclusion is that the choice of the equation
of state as well as the value of the electric conductivity can result in
considerable dynamical differences in simulations involving shocks,
instabilities, and magnetic reconnection.


title: Differential Bloch Oscillating Transistor Pair

abstract:
  We examine a Bloch Oscillating Transistor pair as a differential stage for
cryogenic low-noise measurements. Using two oppositely biased, nearly symmetric
Bloch Oscillating Transistors, we measured the sum and difference signals in
the current gain and transconductance modes while changing the common mode
signal, either voltage or current. From the common mode rejection ratio we find
values $\sim 20$ dB even under non-optimal conditions. We also characterize the
noise properties and obtain excellent noise performance for measurements having
source impedances in the M$\Omega$ range.


title:
Magnetic penetration depth in single crystals of SrPd$_2$Ge$_2$
  superconductor

abstract:
  The in-plane magnetic penetration depth, $\lambda_m(T)$, was measured in
single crystals of SrPd$_2$Ge$_2$ superconductor in a dilution refrigerator
down to T=60 mK and in magnetic fields up to $H_{dc} = 1$ T by using a tunnel
diode resonator. The London penetration depth, $\lambda$, saturates
exponentially approaching $T\rightarrow 0$ indicating fully gapped
superconductivity. The thermodynamic Rutgers formula was used to estimate
$\lambda(0) = 426$ nm which was used to calculate the superfluid density,
$\rho_s(T)=\lambda^2(0)/\lambda^2(T)$. Analysis of $\rho_s(T)$ in the full
temperature range shows that it is best described by a single - gap behavior,
perhaps with somewhat stronger coupling. In a magnetic field, the measured
penetration depth is given by the Campbell penetration depth which was used to
calculate the theoretical critical current density $j_c$. For $H \le 0.45$ T,
the strongest pinning is achieved not at the lowest, but at some intermediate
temperature, probably due to matching effect between temperature - dependent
coherence length and relevant pinning lengthscale. Finally, we find a
compelling evidence for surface superconductivity. Combining all measurements,
the entire $H$-$T$ phase diagram of SrPd$_2$Ge$_2$ is constructed with an
estimated $H_{c2}(0)=0.4817$ T.


title: Experimental demonstration of metamaterial multiverse in a ferrofluid

abstract:
  Extraordinary light rays propagating inside a hyperbolic metamaterial look
similar to particle world lines in a 2+1 dimensional Minkowski spacetime [1].
Magnetic nanoparticles in a ferrofluid are known to form nanocolumns aligned
along the magnetic field, so that a hyperbolic metamaterial may be formed at
large enough nanoparticle concentration nH. Here we investigate optical
properties of such a metamaterial just below nH. While on average such a
metamaterial is elliptical, thermal fluctuations of nanoparticle concentration
lead to transient formation of hyperbolic regions (3D Minkowski spacetimes)
inside this metamaterial. Thus, thermal fluctuations in a ferrofluid look
similar to creation and disappearance of individual Minkowski spacetimes
(universes) in the cosmological multiverse. This theoretical picture is
supported by experimental measurements of polarization-dependent optical
transmission of a cobalt based ferrofluid at 1500 nm.


title: The monoidal structure of strictification

abstract:
  We study the monoidal structure of the standard strictification functor
$\textrm{st}:\mathbf{Bicat} \rightarrow \mathbf{2Cat}$. In doing so, we
construct monoidal structures on the 2-category whose objects are bicategories
and on the 2-category whose objects are 2-categories.


title: Beyond the Betz Theory - Blockage, Wake Mixing and Turbulence

abstract:
  Recent analytical models concerning the limiting efficiency of marine
hydrokinetic (MHK) turbines are reviewed with an emphasis on the significance
of blockages (of local as well as global flow passages) and wake mixing. Also
discussed is the efficiency of power generation from fully developed turbulent
open channel flows. These issues are primarily concerned with the
design/optimization of tidal turbine arrays; however, some of them are relevant
to wind turbines as well.


title:
Weighted Last-Step Min-Max Algorithm with Improved Sub-Logarithmic
  Regret

abstract:
  In online learning the performance of an algorithm is typically compared to
the performance of a fixed function from some class, with a quantity called
regret. Forster proposed a last-step min-max algorithm which was somewhat
simpler than the algorithm of Vovk, yet with the same regret. In fact the
algorithm he analyzed assumed that the choices of the adversary are bounded,
yielding artificially only the two extreme cases. We fix this problem by
weighing the examples in such a way that the min-max problem will be well
defined, and provide analysis with logarithmic regret that may have better
multiplicative factor than both bounds of Forster and Vovk. We also derive a
new bound that may be sub-logarithmic, as a recent bound of Orabona et.al, but
may have better multiplicative factor. Finally, we analyze the algorithm in a
weak-type of non-stationary setting, and show a bound that is sub-linear if the
non-stationarity is sub-linear as well.


title: Homologies of moduli space $\mathcal{M}_{2,1}$

abstract:
  We consider the space $\mathcal{M}_{2,1}$ --- the open moduli space of
complex curves of genus 2 with one marked point. Using language of chord
diagrams we describe the cell structure of $\mathcal{M}_{2,1}$ and cell
adjacency. This allows us to construct matrices of boundary operators and
compute Betty numbers of $\mathcal{M}_{2,1}$ over $\mathbb{Q}$.


title:
Extra-dimensional metamaterials: simple models of inflation and metric
  signature transitions

abstract:
  Lattices of topological defects, such as Abrikosov lattices and domain wall
lattices often arise as metastable ground states in higher-dimensional field
theoretical models. We demonstrate that such lattice states may be described as
extra-dimensional metamaterials via higher-dimensional effective medium theory.
A 4+1 dimensional extension of Maxwell electrodynamics with a compactified
time-like dimension has been considered as an example. It is demonstrated that
from the point of view of macroscopic electrodynamics an Abrikosov lattice
state in such a 4+1 dimensional spacetime may be described as a uniaxial
hyperbolic metamaterial. Extraordinary photons perceive this medium as a 3+1
dimensional Minkowski spacetime in which one of the original spatial dimensions
(the optical axis of the metamaterial) plays the role of a new time-like
coordinate. Since metric signature of this effective space-time depends on the
Abrikosov lattice periodicity, the described model may be useful in studying
metric signature transitions. A particular kind of metric signature transition
understood as a macroscopic medium effect may emulate cosmological inflation.


title:
Regularization of an autoconvolution problem in ultrashort laser pulse
  characterization

abstract:
  An ill-posed inverse problem of autoconvolution type is investigated. This
inverse problem occurs in nonlinear optics in the context of ultrashort laser
pulse characterization. The novelty of the mathematical model consists in a
physically required extension of the deautoconvolution problem beyond the
classical case usually discussed in literature: (i) For measurements of
ultrashort laser pulses with the self-diffraction SPIDER method, a stable
approximate solution of an autocovolution equation with a complex-valued kernel
function is needed. (ii) The considered scenario requires complex functions
both, in the solution and the rhs of the integral equation. Since, however,
noisy data are available not only for amplitude and phase functions of the rhs,
but also for the amplitude of the solution, the stable approximate
reconstruction of the associated smooth phase function represents the main goal
of the paper. An iterative regularization approach is described that is
specifically adapted to the physical situation in pulse characterization, using
a non-standard stopping rule for the iteration process of computing regularized
solutions. Our approach is illustrated by several case studies for synthetic
noisy data and physically realistic complex-valued kernel functions. Based on
an example with focus on amplitude perturbations, we show that the
autoconvolution equation is locally ill-posed everywhere. To date, the
analytical treatment of the impact of noisy data on phase perturbations remains
an open question. However, we show its influence with the help of numerical
experiments. Moreover, we formulate assertions on the non-uniqueness of the
complex-valued autoconvolution problem, at least for the simplified case of a
constant kernel. The presented results and figures associated with case studies
illustrate the ill-posedness phenomena also for the case of non-trivial complex
kernel functions.


title:
Approaching quantum criticality in a partially geometrically frustrated
  heavy-fermion metal

abstract:
  Quantum phase transitions have captured the interest of a large community in
condensed-matter and atom physics research. The common feature of these very
different material classes lies in the fact that the competition between
low-energy scales can be tuned by a nonthermal parameter, such as pressure,
magnetic or electric field, and chemical composition for the condensed-matter
systems. In heavy-fermion materials, the strong exchange J between f-electrons
and conduction electrons can lead to quenching of the f-electron-derived
(nearly) localized magnetic moments via the Kondo effect or, if J becomes
weaker, to long-range magnetic order via the Ruderman-Kittel-Kasuya-Yosida
interaction mediated by the conduction electrons. In addition it has been
suggested that magnetic order can be suppressed by quantum fluctuations which
may be enhanced by geometric frustration. Here we report on the observation of
a quantum phase transition in a partially frustrated antiferromagnetic metallic
system. In antiferromagnetic CePdAl the magnetic Ce ions form a network of
equilateral triangles in the (001) plane, similar to the kagom\'e lattice, with
one third of the Ce moments not participating in long-range order. The N\'eel
temperature T_N = 2.7 K can be driven to zero upon replacing 14.4% of Pd by Ni.
Here the specific heat C exhibits a C/T ~ - log T dependence. Within the
Hertz-Millis-Moriya model of quantum criticality, this behavior can be
attributed to two-dimensional critical antiferromagnetic fluctuations arising
from the decoupling of three-dimensional magnetic order by frustration. The
intermediate planes of frustrated moments are a possible candidate for a
two-dimensional spin-liquid. The simultaneous presence of magnetic order,
geometric frustration, and Kondo effect in this system might thus entail a new
route to quantum criticality.


title:
Arbitrarily Small Amounts of Correlation for Arbitrarily Varying Quantum
  Channels

abstract:
  As our main result we show that, in order to achieve the randomness assisted
message - and entanglement transmission capacities of a finite arbitrarily
varying quantum channel it is not necessary that sender and receiver share
(asymptotically perfect) common randomness. Rather, it is sufficient that they
each have access to an unlimited amount of uses of one part of a correlated
bipartite source. This access might be restricted to an arbitrary small
(nonzero) fraction per channel use, without changing the main result. We
investigate the notion of common randomness. It turns out that this is a very
costly resource - generically, it cannot be obtained just by local processing
of a bipartite source. This result underlines the importance of our main
result. Also, the asymptotic equivalence of the maximal- and average error
criterion for classical message transmission over finite arbitrarily varying
quantum channels is proven. At last, we prove a simplifed symmetrizability
condition for finite arbitrarily varying quantum channels.


title: Geodesic Monte Carlo on Embedded Manifolds

abstract:
  Markov chain Monte Carlo methods explicitly defined on the manifold of
probability distributions have recently been established. These methods are
constructed from diffusions across the manifold and the solution of the
equations describing geodesic flows in the Hamilton--Jacobi representation.
This paper takes the differential geometric basis of Markov chain Monte Carlo
further by considering methods to simulate from probability distributions that
themselves are defined on a manifold, with common examples being classes of
distributions describing directional statistics. Proposal mechanisms are
developed based on the geodesic flows over the manifolds of support for the
distributions and illustrative examples are provided for the hypersphere and
Stiefel manifold of orthonormal matrices.


title: Search for Charged Higgs bosons: Combined Results Using LEP Data

abstract:
  The four LEP collaborations, ALEPH, DELPHI, L3 and OPAL, have searched for
pair-produced charged Higgs bosons in the framework of Two Higgs Doublet Models
(2HDMs). The data of the four experiments are statistically combined. The
results are interpreted within the 2HDM for Type I and Type II benchmark
scenarios. No statistically significant excess has been observed when compared
to the Standard Model background prediction, and the combined LEP data exclude
large regions of the model parameter space. Charged Higgs bosons with mass
below 80 GeV/c^2 (Type II scenario) or 72.5 GeV/c^2 (Type I scenario, for
pseudo-scalar masses above 12 GeV/c^2) are excluded at the 95% confidence
level.


title:
The Hamiltonian structure and Euler-Poincar\'{e} formulation of the
  Vlasov-Maxwell and gyrokinetic systems

abstract:
  We present a new variational principle for the gyrokinetic system, similar to
the Maxwell-Vlasov action presented in Ref. 1. The variational principle is in
the Eulerian frame and based on constrained variations of the phase space fluid
velocity and particle distribution function. Using a Legendre transform, we
explicitly derive the field theoretic Hamiltonian structure of the system. This
is carried out with a modified Dirac theory of constraints, which is used to
construct meaningful brackets from those obtained directly from
Euler-Poincar\'{e} theory. Possible applications of these formulations include
continuum geometric integration techniques, large-eddy simulation models and
Casimir type stability methods.
  [1] H. Cendra et. al., Journal of Mathematical Physics 39, 3138 (1998)


title:
Optical tsunamis: shoaling of shallow water rogue waves in nonlinear
  fibers with normal dispersion

abstract:
  In analogy with ocean waves running up towards the beach, shoaling of
prechirped optical pulses may occur in the normal group-velocity dispersion
regime of optical fibers. We present exact Riemann wave solutions of the
optical shallow water equations and show that they agree remarkably well with
the numerical solutions of the nonlinear Schr\"odinger equation, at least up to
the point where a vertical pulse front develops. We also reveal that extreme
wave events or optical tsunamis may be generated in dispersion tapered fibers
in the presence of higher-order dispersion.


title:
Alternating minimal energy methods for linear systems in higher
  dimensions. Part I: SPD systems

abstract:
  We introduce a family of numerical algorithms for the solution of linear
system in higher dimensions with the matrix and right hand side given and the
solution sought in the tensor train format. The proposed methods are
rank--adaptive and follow the alternating directions framework, but in contrast
to ALS methods, in each iteration a tensor subspace is enlarged by a set of
vectors chosen similarly to the steepest descent algorithm. The convergence is
analyzed in the presence of approximation errors and the geometrical
convergence rate is estimated and related to the one of the steepest descent.
The complexity of the presented algorithms is linear in the mode size and
dimension and the convergence demonstrated in the numerical experiments is
comparable to the one of the DMRG--type algorithm.


title:
Cross-Ownership as a Structural Explanation for Over- and
  Underestimation of Default Probability

abstract:
  Based on the work of Suzuki (2002), we consider a generalization of Merton's
asset valuation approach (Merton, 1974) in which two firms are linked by
cross-ownership of equity and liabilities. Suzuki's results then provide no
arbitrage prices of firm values, which are derivatives of exogenous asset
values. In contrast to the Merton model, the assumption of lognormally
distributed assets does not result in lognormally distributed firm values,
which also affects the corresponding probabilities of default. In a simulation
study we see that, depending on the type of cross-ownership, the lognormal
model can lead to both, over- and underestimation of the actual probability of
default of a firm under cross-ownership. In the limit, i.e. if the levels of
cross-ownership tend to their maximum possible value, these findings can be
shown theoretically as well. Furthermore, we consider the default probability
of a firm in general, i.e. without a distributional assumption, and show that
the lognormal model is often able to yield only a limited range of
probabilities of default, while the actual probabilities may take any value
between 0 and 1.


title: A canonical parameterization of paths in $\mathbb{R}^n$

abstract:
  For sufficiently tame paths in $\mathbb{R}^n$, Euclidean length provides a
canonical parametrization of a path by length. In this paper we provide such a
parametrization for all continuous paths. This parametrization is based on an
alternative notion of path length, which we call $\mathsf{len}$. Like Euclidean
path length, $\mathsf{len}$ is invariant under isometries of $\mathbb{R}^n$, is
monotone with respect to sub-paths, and for any two points in $\mathbb{R}^n$
the straight line segment between them has minimal $\mathsf{len}$ length.
  Unlike Euclidean path length, the $\mathsf{len}$ length of any path is
defined (i.e., finite) and $\mathsf{len}$ is continuous relative to the uniform
distance between paths. We use this notion to obtain characterizations of those
families of paths which can be reparameterized to be equicontinuous or compact.
Finally, we use this parametrization to obtain a canonical homeomorphism
between certain families of arcs.


title:
A local CLT for convolution equations with an application to weakly
  self-avoiding random walks

abstract:
  We prove error bounds in a central limit theorem for solutions of certain
convolution equations. The main motivation for investigating these equations
stems from applications to lace expansions, in particular to weakly
self-avoiding random walks in high dimensions. As an application we treat such
self-avoiding walks in continuous space. The bounds obtained are sharper than
the ones obtained by other methods.


title:
Dynamical Embedding in Cubical Shifts & the Topological Rokhlin and
  Small Boundary Properties

abstract:
  According to a conjecture of Lindenstrauss and Tsukamoto, a topological
dynamical system $(X,T)$ is embeddable in the $d$-cubical shift
$(([0,1]^{d})^{\mathbb{Z}},\ shift)$ if both its mean dimension and periodic
dimension are strictly bounded by $\frac{d}{2}$. We verify the conjecture for
the class of systems admitting finite dimensional non-wandering sets (under the
additional assumption of closed periodic points set). The main tool in the
proof is the new concept of local markers. Continuing the investigation of
(global) markers initiated in previous work it is shown that the marker
property is equivalent to a topological version of the Rokhlin Lemma. Moreover
new classes of systems are found to have the marker property, in particular,
extensions of aperiodic systems with a countable number of minimal subsystems.
Extending work of Lindenstrauss we show that for systems with the marker
property vanishing mean dimension is equivalent to the small boundary property.
Finally we answer a question by Downarowicz in the affirmative: the small
boundary property is equivalent to admitting a zero-dimensional isomorphic
extension.


title: A $p$-adic Bertini theorem for unipotent local systems

abstract:
  In this short note we prove a version of Bertini's theorem for unipotent
rigid fundamental groups, stating that for every smooth, projective,
geometrically connected variety $X$ over an infinite perfect field $k$ of
characteristic $p>0$, there exists a smooth, projective, geometrically
connected curve $C\subset X$ such that the induced map on rigid fundamental
groups is surjective.


title: Trapped phonons

abstract:
  We analyze the effect of restricted geometries on the contribution of
Nambu-Goldstone bosons (phonons) to the shear viscosity, $\eta$, of a
superfluid. For illustrative purpose we examine a simplified system consisting
of a circular boundary of radius $R$, confining a two-dimensional rarefied gas
of phonons. Considering the Maxwell-type conditions, we show that phonons that
are not in equilibrium with the boundary and that are not specularly reflected
exert a shear stress on the boundary. In this case it is possible to define an
effective (ballistic) shear viscosity coefficient $\eta \propto \rho_{\rm ph}
\chi R$, where $\rho_{\rm ph}$ is the density of phonons and $\chi$ is a
parameter which characterizes the type of scattering at the boundary. For an
optically trapped superfluid our results corroborate the findings of Refs.
\cite{Mannarelli:2012su, Mannarelli:2012eg}, which imply that at very low
temperature the shear viscosity correlates with the size of the optical trap
and decreases with decreasing temperature.


title: Harmonic Vector Fields on Space Forms

abstract:
  A vector field s on a Riemannian manifold M is said to be harmonic if there
exists a member of a 2-parameter family of generalised Cheeger-Gromoll metrics
on TM with respect to which s is a harmonic section. If M is a simply-connected
non-flat space form other than the 2-sphere, examples are obtained of conformal
vector fields that are harmonic. In particular, the harmonic Killing fields and
conformal gradient fields are classified, a loop of non-congruent harmonic
conformal fields on the hyperbolic plane constructed, and the 2-dimensional
classification achieved for conformal fields. A classification is then given of
all harmonic quadratic gradient fields on spheres.


title: On Non-Gaussianities in Two-Field Poly-Instanton Inflation

abstract:
  In the context of Type IIB LARGE volume orientifold setup equipped with
poly-instanton corrections, the standard single-field poly-instanton inflation
driven by a 'Wilson' divisor volume modulus is generalized by the inclusion of
respective axion modulus. This two-field dynamics results in a "Roulette" type
inflation with the presence of several inflationary trajectories which could
produce 50 (or more) e-foldings. The evolution of various trajectories along
with physical observables are studied. The possibility of generating primordial
non-Gaussianities in the slow-roll as well as in the beyond slow-roll region is
investigated. We find that although the non- linearity parameters are quite
small during the slow-roll regime, the same are significantly enhanced in the
beyond slow-roll regime investigated up to the end of inflation.


title: TiC lattice dynamics from ab initio calculations

abstract:
  Ab initio calculations and a direct method have been applied to derive the
phonon dispersion curves and phonon density of states for the TiC crystal. The
results are compared and found to be in a good agreement with the experimental
neutron scattering data. The force constants have been determined from the
Hellmann-Feynman forces induced by atomic displacements in the 2x2x2 supercell.
The calculated phonon density of states suggests that vibrations of Ti atoms
form acoustic branches, whereas the motion of C atoms is confined to optic
branches. The elastic constants have been found using the deformation method
and compared with the results obtained from acoustic phonon slopes.


title: On weakly group-theoretical non-degenerate braided fusion categories

abstract:
  We show that the Witt class of a weakly group-theoretical non-degenerate
braided fusion category belongs to the subgroup generated by classes of
non-degenerate pointed braided fusion categories and Ising braided categories.
This applies in particular to solvable non-degenerate braided fusion
categories. We also give some sufficient conditions for a braided fusion
category to be weakly group-theoretical or solvable in terms of the
factorization of its Frobenius-Perron dimension and the Frobenius-Perron
dimensions of its simple objects. As an application, we prove that every
non-degenerate braided fusion category whose Frobenius-Perron dimension is a
natural number less than 1800, or an odd natural number less than 33075, is
weakly group-theoretical.