title: Kontsevich-Zagier Integrals for Automorphic Green's Functions. I

abstract:
  In the framework of Kontsevich-Zagier periods, we derive integral
representations for weight-$k$ automorphic Green's functions invariant under
modular transformations in $\varGamma_0(N)$ ($N\in\mathbb Z_{\geq1} $),
provided that there are no cusp forms on the respective Hecke congruence groups
with an even integer weight $k\geq4$. These Kontsevich-Zagier integral
representations for automorphic Green's functions give explicit formulae for
certain Eichler-Shimura maps connecting Eichler cohomology to Maa{\ss} cusp
forms. We construct integral representations for weight-4 Gross-Zagier
renormalized Green's functions (automorphic self-energy) from limit scenarios
of the respective Kontsevich-Zagier integrals. We reduce the weight-4
automorphic self-energy on $ X_0(4)(\mathbb C)=\varGamma_0(4)\setminus\mathfrak
H^*$ to an explicit form, which supports an algebraicity conjecture of Gross
and Zagier.


title:
From random Poincar\'e maps to stochastic mixed-mode-oscillation
  patterns

abstract:
  We quantify the effect of Gaussian white noise on fast--slow dynamical
systems with one fast and two slow variables, which display mixed-mode
oscillations owing to the presence of a folded-node singularity. The stochastic
system can be described by a continuous-space, discrete-time Markov chain,
recording the returns of sample paths to a Poincar\'e section. We provide
estimates on the kernel of this Markov chain, depending on the system
parameters and the noise intensity. These results yield predictions on the
observed random mixed-mode oscillation patterns. Our analysis shows that there
is an intricate interplay between the number of small-amplitude oscillations
and the global return mechanism. In combination with a local saturation
phenomenon near the folded node, this interplay can modify the number of
small-amplitude oscillations after a large-amplitude oscillation. Finally,
sufficient conditions are derived which determine when the noise increases the
number of small-amplitude oscillations and when it decreases this number.


title: Technical details of the multistep-multiscale bootstrap resampling

abstract:
  The technical details of the new bootstrap method of Shimodaira (2004) are
given here in mathematical proofs as well as a supporting computer program.
Approximately unbiased tests based on the bootstrap probabilities are
considered in Shimodaira (2004) for the exponential family of distributions
with unknown expectation parameter vector, where the null hypothesis is
represented as an arbitrary-shaped region with smooth boundaries. It has been
described in the lemmas of Shimodaira (2004) that the newly developed
three-step multiscale bootstrap method calculates an asymptotically third-order
accurate $p$-value. All the mathematical proofs of these lemmas are shown here.
The straightforward, though very tedious, calculations involving tensor
notations are verified in Shimodaira (2003), which is, in fact, a computer
program for Mathematica. Here we also give a brief explanation of this program.


title: Wavepacket of the Universe and its spreading

abstract:
  Wavepackets in quantum mechanics spread and the Universe in cosmology
expands. We discuss a formalism where the two effects can be unified. The basic
assumption is that the Universe is determined by a unitarily evolving
wavepacket defined on space-time. Space-time is static but the Universe is
dynamic. Spreading analogous to expansion known from observational cosmology is
obtained if one regards time evolution as a discrete process with probabilities
of jumps determined by a variational principle employing
Kolmogorov-Nagumo-R\'enyi averages. The choice of the R\'enyi calculus implies
that the form of the Universe involves an implicit fractal structure. The
formalism automatically leads to two types of "time" parameters: $\tau$, with
dimension of $x^0$, and dimensionless $\varepsilon=\ln \epsilon_\tau$, related
to the form of diffeomorphism that defines the dynamics. There is no preferred
time foliation, but effectively the dynamics leads to asymptotic concentration
of the Universe on spacelike surfaces that propagate in space-time. The
analysis is performed explicitly in $1+1$ dimensions, but the unitary evolution
operator is brought to a form that makes generalizations to other dimensions
and other fields quite natural.


title:
Cancer stem cells display extremely large evolvability: alternating
  plastic and rigid networks as a potential mechanism

abstract:
  Cancer is increasingly perceived as a systems-level, network phenomenon. The
major trend of malignant transformation can be described as a two-phase
process, where an initial increase of network plasticity is followed by a
decrease of plasticity at late stages of tumor development. The fluctuating
intensity of stress factors, like hypoxia, inflammation and the either
cooperative or hostile interactions of tumor inter-cellular networks, all
increase the adaptation potential of cancer cells. This may lead to the bypass
of cellular senescence, and to the development of cancer stem cells. We propose
that the central tenet of cancer stem cell definition lies exactly in the
indefinability of cancer stem cells. Actual properties of cancer stem cells
depend on the individual "stress-history" of the given tumor. Cancer stem cells
are characterized by an extremely large evolvability (i.e. a capacity to
generate heritable phenotypic variation), which corresponds well with the
defining hallmarks of cancer stem cells: the possession of the capacity to
self-renew and to repeatedly re-build the heterogeneous lineages of cancer
cells that comprise a tumor in new environments. Cancer stem cells represent a
cell population, which is adapted to adapt. We argue that the high evolvability
of cancer stem cells is helped by their repeated transitions between plastic
(proliferative, symmetrically dividing) and rigid (quiescent, asymmetrically
dividing, often more invasive) phenotypes having plastic and rigid networks.
Thus, cancer stem cells reverse and replay cancer development multiple times.
We describe network models potentially explaining cancer stem cell-like
behavior. Finally, we propose novel strategies including combination therapies
and multi-target drugs to overcome the Nietzschean dilemma of cancer stem cell
targeting: "what does not kill me makes me stronger".


title:
Nonclassical effects in two-photon interference experiments:
  event-by-event simulations

abstract:
  It is shown that both the visibility ${\cal V} = 1/2$ predicted for
two-photon interference experiments with two independent
sources\textcolor{black}{, like the Hanbury Brown-Twiss experiment,} and the
visibility ${\cal V} = 1$ predicted for two-photon interference experiments
with a parametric down-conversion source\textcolor{black}{, like the
Ghosh-Mandel experiment,} can be explained \textcolor{black}{by a discrete
event simulation. This simulation approach reproduces the statistical
distributions of wave theory not by requiring the knowledge of the solution of
the wave equation of the whole system but by generating detection events
one-by-one according to an unknown distribution.} There is thus no need to
invoke quantum theory to explain the so-called nonclassical effects in the
interference of signal and idler photons in parametric down conversion. Hence,
a revision of the commonly accepted criterion of the nonclassical nature of
light\textcolor{black}{, ${\cal V} > 1/2$,} is called for.


title: Which abelian tensor categories are geometric?

abstract:
  For a large class of geometric objects, the passage to categories of
quasi-coherent sheaves provides an embedding in the 2-category of abelian
tensor categories. The notion of weakly Tannakian categories introduced by the
author gives a characterization of tensor categories in the image of this
embedding.
  However, this notion requires additional structure to be present, namely a
fiber functor. For the case of classical Tannakian categories in characteristic
zero, Deligne has found intrinsic properties - expressible entirely within the
language of tensor categories - which are necessary and sufficient for the
existence of a fiber functor. In this paper we generalize Deligne's result to
weakly Tannakian categories in characteristic zero. The class of geometric
objects whose tensor categories of quasi-coherent sheaves can be recognized in
this manner includes both the gerbes arising in classical Tannaka duality and
more classical geometric objects such as projective varieties over a field of
characteristic zero.
  Our proof uses a different perspective on fiber functors, which we formalize
through the notion of geometric tensor categories. A second application of this
perspective allows us to describe categories of quasi-coherent sheaves on fiber
products.


title:
Normality and boundary behavior of arbitrary and meromorphic functions
  along simple curves and applications

abstract:
  We establish the theorems that give necessary and sufficient conditions for
an arbitrary function defined in the unit disk of complex plane in order to has
boundary values along classes of equivalencies of simple curves. Our results
generalize the well--known theorems on asymptotic and angular boundary behavior
of meromorphic functions (Lindolf, Lehto--Virtanen, and Seidel--Walsh type
theorems). The results are applied to the study of boundary behavior of
meromorphic functions along curves using $P-$sequences, as well as in the proof
of the uniqueness theorem similar to Saginjan's one.
  Constructed examples of functions show that the results cannot be improved.


title:
Event-by-event simulation of experiments to create entanglement and
  violate Bell inequalities

abstract:
  We discuss a discrete-event, particle-based simulation approach which
reproduces the statistical distributions of Maxwell's theory and quantum theory
by generating detection events one-by-one. This event-based approach gives a
unified cause-and-effect description of quantum optics experiments such as
single-photon Mach-Zehnder interferometer, Wheeler's delayed choice, quantum
eraser, double-slit, Einstein-Podolsky-Rosen-Bohm and Hanbury Brown-Twiss
experiments, and various neutron interferometry experiments at a level of
detail which is not covered by conventional quantum theoretical descriptions.
We illustrate the approach by application to single-photon
Einstein-Podolsky-Rosen-Bohm experiments and single-neutron interferometry
experiments that violate a Bell inequality.


title: Data analysis of Einstein-Podolsky-Rosen-Bohm laboratory experiments

abstract:
  Data sets produced by three different Einstein-Podolsky-Rosen-Bohm (EPRB)
experiments are tested against the hypothesis that the statistics of this data
is described by quantum theory. Although these experiments generate data that
violate Bell inequalities for suitable choices of the time-coincidence window,
the analysis shows that it is highly unlikely that these data sets are
compatible with the quantum theoretical description of the EPRB experiment,
suggesting that the popular statements that EPRB experiments agree with quantum
theory lack a solid scientific basis and that more precise experiments are
called for.


title:
An implicit wetting and drying approach for non-hydrostatic baroclinic
  flows in high aspect ratio domains

abstract:
  A new approach to modelling free surface flows is developed that enables, for
the first time, 3D consistent non-hydrostatic baroclinic physics that wets and
dries in the large aspect ratio spatial domains that characterise geophysical
systems. This is key in the integration of physical models to permit seamless
simulation in a single consistent arbitrarily unstructured multiscale and
multi-physics dynamical model. A high order continuum representation is
achieved through a general Galerkin finite element formulation that guarantees
local and global mass conservation, and consistent tracer advection. A flexible
spatial discretisation permits conforming domain bounds and a variable spatial
resolution, whilst atypical use of fully implicit time integration ensures
computational efficiency. Notably this brings the natural inclusion of
non-hydrostatic baroclinic physics and a consideration of vertical inertia to
flood modelling in the full 3D domain. This has application in improving
modelling of inundation processes in geophysical domains, where dynamics
proceeds over a large range of horizontal extents relative to vertical
resolution, such as in the evolution of a tsunami, or in urban environments
containing complex geometric structures at a range of scales.


title:
The main sequences of NGC2808: constraints on the early disc accretion
  scenario

abstract:
  [Abridged] A new scenario --early disc accretion-- has been proposed very
recently to explain the origin of the multiple population phenomenon in
Galactic globular clusters. It envisages the possibility that a fraction of
low- and very low-mass cluster stars may accrete the ejecta of interacting
massive binary (and possibly also fast rotating massive) stars during the fully
convective, pre-main sequence stage, to reproduce the CN and ONa
anticorrelations observed among stars in individual clusters. This scenario is
assumed to be able to explain the presence (and properties) of the multiple
populations in the majority of globular clusters in the Milky Way. Here we have
considered the well studied cluster NGC 2808, which displays a triple main
sequence with well defined and separate He abundances. Knowledge of these
abundances allowed us to put strong constraints on the He mass fraction and
amount of matter to be accreted by low-mass pre-main sequence stars. We find
that the minimum He mass fraction in the accreted gas has to be $\sim0.44$ to
produce the observed sequences and that at fixed initial mass of the accreting
star, different efficiencies for the accretion are required to produce stars
placed onto the multiple main sequences. This may be explained by differences
in the orbital properties of the progenitors and/or different spatial
distribution of intracluster gas with varying He abundances. Both O-Na and C-N
anticorrelations appear naturally along the main sequences, once considering
the predicted relationship between He and CNONa abundances in the ejecta of the
polluters. As a consequence of the accretion, we predict no discontinuity
between the abundance ranges covered by intermediate and blue main sequence
stars, but we find a sizeable (several 0.1 dex) discontinuity of the N and Na
abundances between objects on the intermediate and red main sequences.


title: A molecular line scan in the Hubble Deep Field North

abstract:
  We present a molecular line scan in the Hubble Deep Field North (HDF-N) that
covers the entire 3mm window (79-115 GHz) using the IRAM Plateau de Bure
Interferometer. Our CO redshift coverage spans z<0.45, 1<z<1.9 and all z>2. We
reach a CO detection limit that is deep enough to detect essentially all z>1 CO
lines reported in the literature so far. We have developed and applied
different line searching algorithms, resulting in the discovery of 17 line
candidates. We estimate that the rate of false positive line detections is
~2/17. We identify optical/NIR counterparts from the deep ancillary database of
the HDF-N for seven of these candidates and investigate their available SEDs.
Two secure CO detections in our scan are identified with star-forming galaxies
at z=1.784 and at z=2.047. These galaxies have colors consistent with the `BzK'
color selection and they show relatively bright CO emission compared with
galaxies of similar dust continuum luminosity. We also detect two spectral
lines in the submillimeter galaxy HDF850.1 at z=5.183. We consider an
additional 9 line candidates as high quality. Our observations also provide a
deep 3mm continuum map (1-sigma noise level = 8.6 $\mu$Jy/beam). Via a stacking
approach, we find that optical/MIR bright galaxies contribute only to <50% of
the SFR density at 1<z<3, unless high dust temperatures are invoked. The
present study represents a first, fundamental step towards an unbiased census
of molecular gas in `normal' galaxies at high-z, a crucial goal of
extragalactic astronomy in the ALMA era.


title:
A Molecular Line Scan in the Hubble Deep Field North: Constraints on the
  CO Luminosity Function and the Cosmic H2 Density

abstract:
  We present direct constraints on the CO luminosity function at high redshift
and the resulting cosmic evolution of the molecular gas density, $\rho_{\rm
H2}$(z), based on a blind molecular line scan in the Hubble Deep Field North
(HDF-N) using the IRAM Plateau de Bure Interferometer. Our line scan of the
entire 3mm window (79-115 GHz) covers a cosmic volume of ~7000 Mpc$^3$, and
redshift ranges z<0.45, 1.01<z<1.89 and z>2. We use the rich multiwavelength
and spectroscopic database of the HDF-N to derive some of the best constraints
on CO luminosities in high redshift galaxies to date. We combine the blind CO
detections in our molecular line scan (presented in a companion paper) with
stacked CO limits from galaxies with available spectroscopic redshifts (slit or
mask spectroscopy from Keck and grism spectroscopy from HST) to give first
blind constraints on high-z CO luminosity functions and the cosmic evolution of
the H2 mass density $\rho_{\rm H2}$(z) out to redshifts z~3. A comparison to
empirical predictions of $\rho_{\rm H2}$(z) shows that the securely detected
sources in our molecular line scan already provide significant contributions to
the predicted $\rho_{\rm H2}$(z) in the redshift bins <z>~1.5 and <z>~2.7.
Accounting for galaxies with CO luminosities that are not probed by our
observations results in cosmic molecular gas densities $\rho_{\rm H2}$(z) that
are higher than current predictions. We note however that the current
uncertainties (in particular the luminosity limits, number of detections, as
well as cosmic volume probed) are significant, a situation that is about to
change with the emerging ALMA observatory.


title:
Percolation on stationary tessellations: models, mean values and second
  order structure

abstract:
  We consider a stationary face-to-face tessellation $X$ of $\mathbb{R}^d$ and
introduce several percolation models by colouring some of the faces black in a
consistent way. Our main model is cell percolation, where cells are declared
black with probability $p$ and white otherwise. We are interested in geometric
properties of the union $Z$ of black faces. Under natural integrability
assumptions we first express asymptotic mean-values of intrinsic volumes in
terms of Palm expectations associated with the faces. In the second part of the
paper we study asymptotic covariances of intrinsic volumes of $Z\cap W$, where
the observation window $W$ is assumed to be a polytope. Here we need to assume
the existence of suitable asymptotic covariances of the face processes of $X$.
We check these assumptions in the important special case of a Poisson Voronoi
tessellation. In the case of cell percolation on a normal tessellation,
especially in the plane, our formulae simplify considerably.


title:
A scattering matrix formulation of the topological index of interacting
  fermions in one-dimensional superconductors

abstract:
  We construct a scattering matrix formulation for the topological
classification of one-dimensional superconductors with effective time reversal
symmetry in the presence of interactions. For a closed geometry, Fidkowski and
Kitaev have shown that such systems have a $\mathbb{Z}_8$ topological
classification. We show that in the weak coupling limit, these systems retain a
unitary scattering matrix at zero temperature, with a topological index given
by the trace of the Andreev reflection matrix, $\mbox{tr}\, r_{\rm he}$. With
interactions, $\mbox{tr}\, r_{\rm he}$ generically takes on the finite set of
values $0$, $\pm 1$, $\pm 2$, $\pm 3$, and $\pm 4$. We show that the two
topologically equivalent phases with $\mbox{tr}\, r_{\rm he} = \pm 4$ support
emergent many-body end states, which we identify to be a topologically
protected Kondo-like resonance. The path in phase space that connects these
equivalent phases crosses a non-fermi liquid fixed point where a multiple
channel Kondo effect develops. Our results connect the topological index to
transport properties, thereby highlighting the experimental signatures of
interacting topological phases in one dimension.


title:
One-step achievement of robust multipartite Greenberger-Horne-Zeilinger
  state and controlled-phase gate via Rydberg interaction

abstract:
  We present a proposal for generation of a robust tripartite
Greenberger-Horne-Zeilinger state among three-individual neutral Rydberg atoms.
By modulating the relation between two-photon detuning and Rydberg interaction
strength $U_{ij}(r)$, an effective Raman coupling is obtained between the
hyperfine ground states $|F=2,M=2\rangle$ of three $^{87}$Rb atoms and the
Rydberg states $|rrr\rangle$ via the third-order perturbation theory. This
method is also capable of implementing a three-qubit controlled-phase gate with
each qubit encoded into the hyperfine ground states $|F=1,M=1\rangle$ and
$|F=2,M=2\rangle$. As an extension, we generalize our scheme to the case of
multipartite GHZ state and quantum gate in virtue of high-order perturbation
theory.


title: A new approach to constant term identities and Selberg-type integrals

abstract:
  Selberg-type integrals that can be turned into constant term identities for
Laurent polynomials arise naturally in conjunction with random matrix models in
statistical mechanics. Built on a recent idea of Karasev and Petrov we develop
a general interpolation based method that is powerful enough to establish many
such identities in a simple manner. The main consequence is the proof of a
conjecture of Forrester related to the Calogero--Sutherland model. In fact we
prove a more general theorem, which includes Aomoto's constant term identity at
the same time. We also demonstrate the relevance of the method in additive
combinatorics.


title:
An Efficient Edge Detection Technique by Two Dimensional Rectangular
  Cellular Automata

abstract:
  This paper proposes a new pattern of two dimensional cellular automata linear
rules that are used for efficient edge detection of an image. Since cellular
automata is inherently parallel in nature, it has produced desired output
within a unit time interval. We have observed four linear rules among 512 total
linear rules of a rectangular cellular automata in adiabatic or reflexive
boundary condition that produces an optimal result. These four rules are
directly applied once to the images and produced edge detected output. We
compare our results with the existing edge detection algorithms and found that
our results shows better edge detection with an enhancement of edges.


title: The universal family of semi-stable p-adic Galois representations

abstract:
  Let $K$ be a finite field extension of $Q_p$ and let $G_K$ be its absolute
Galois group. We construct the universal family of filtered $(\phi,N)$-modules,
or (more generally) the universal family of $(\phi,N)$-modules with a
Hodge-Pink lattice, and study its geometric properties. Building on this, we
construct the universal family of semi-stable $G_K$-representations in
$Q_p$-algebras. All these universal families are parametrized by moduli spaces
which are Artin stacks in schemes or in adic spaces locally of finite type over
$Q_p$ in the sense of Huber. This has conjectural applications to the $p$-adic
local Langlands program.


title: Phase Space Distribution Near Self-Excited Oscillation Threshold

abstract:
  We study phase space distribution of an optomechanical cavity near the
threshold of self-excited oscillation. A fully on-fiber optomechanical cavity
is fabricated by patterning a suspended metallic mirror on the tip of the
fiber. Optically induced self-excited oscillation of the suspended mirror is
observed above a threshold value of the injected laser power. A theoretical
analysis based on Fokker-Planck equation evaluates the expected phase space
distribution near threshold. A tomography technique is employed for extracting
phase space distribution from the measured reflected optical power vs. time in
steady state. Comparison between theory and experimental results allows the
extraction of device's parameters.


title: Two-cocycle twists and Atiyah-Patodi-Singer index theory

abstract:
  We construct eta- and rho-invariants for Dirac operators, on the universal
covering of a closed manifold, that are invariant under the projective action
associated to a 2-cocycle of the fundamental group. We prove an
Atiyah-Patodi-Singer index theorem in this setting, as well as its higher
generalization. Applications concern the classification of positive scalar
curvature metrics on closed spin manifolds. We also investigate the properties
of these twisted invariants for the signature operator and the relation to the
higher invariants.


title: Note on Mutual Information between Two Intervals of Extremal BTZ

abstract:
  In this note we compute mutual information between two intervals in CFTs dual
to extremal BTZ (UV CFT) and near horizon limit of extremal BTZ (IR CFT) using
the replica technique in some limiting regimes, which can be compared with
holographic description.


title:
Fixed points and their stability in the functional renormalization group
  of random field models

abstract:
  We consider the zero-temperature fixed points controlling the critical
behavior of the $d$-dimensional random-field Ising, and more generally $O(N)$,
models. We clarify the nature of these fixed points and their stability in the
region of the $(N,d)$ plane where one passes from a critical behavior
satisfying the $d\rightarrow d-2$ dimensional reduction to one where it breaks
down due to the appearance of strong enough nonanalyticities in the functional
dependence of the cumulants of the renormalized disorder. We unveil an
intricate and unusual behavior.


title:
Transfer reactions in inverse kinematics, an experimental approach for
  fission investigations

abstract:
  Inelastic and multi-nucleon transfer reactions between a $^{238}$U beam,
accelerated at 6.14 MeV/u, and a $^{12}$C target were used for the production
of neutron-rich, fissioning systems from U to Cm. A Si telescope, devoted to
the detection of the target-like nuclei, provided a characterization of the
fissioning systems in atomic and mass numbers, as well as in excitation energy.
Cross-sections, angular and excitation-energy distributions were measured for
the inelastic and transfer channels. Possible excitations of the target-like
nuclei were experimentally investigated for the first time, by means of g -ray
measurements. The decays from the first excited states of $^{12}$C, $^{11}$B
and $^{10}$Be were observed with probabilities of 0.12 - 0.14, while no
evidence for the population of higher-lying states was found. Moreover, the
fission probabilities of $^{238}$U, $^{239}$Np and $^{240,241,242}$Pu and
$^{244}$Cm were determined as a function of the excitation energy.


title: Sub-terahertz sound excitation and detection by long Josephson junction

abstract:
  The paper reports on experimental observation of sub-terahertz sound wave
generation and detection by a long Josephson junction. This effect was
discovered at spectral measurements of sub-terahertz electromagnetic emission
from a flux-flow oscillator (FFO) deposited on optically polished Si substrate.
The back action of the acoustic waves generated by the FFO and reflected by the
bottom surface of the Si substrate results in the appearance of resonant steps
in the FFO IVCs with spacing as small as 29 nV for 0.3 mm substrate thickness;
these steps manifest themselves in a pronounced resonant structure in the
emission spectra with spacing of about 14 MHz precisely according to the
Josephson relation. The mechanism of acoustic wave generation and detection by
the FFO is discussed; a possibility for employing the discovered effect for FFO
frequency stabilization has been demonstrated. A simple and reliable way to
suppress the superfine resonant structure has been developed and proven; this
invention allows for continuous frequency tuning and FFO phase locking at any
desired frequency, all of which is vitally important for most applications.


title:
On the higher topological Hochschild homology of $\mathbb{F}_p$ and
  commutative $\mathbb{F}_p$-group algebras

abstract:
  We extend Torleif Veen's calculation of higher topological Hochschild
homology ${\sf THH}^{[n]}_*(\mathbb{F}_p)$ from $n\leq 2p$ to $n\leq 2p+2$ for
$p$ odd, and from $n=2$ to $n\leq 3$ for $p=2$. We calculate higher Hochschild
homology ${\sf HH}_*^{[n]}(k[x])$ over $k$ for any integral domain $k$, and
${\sf HH}_*^{[n]}(\mathbb{F}_p[x]/x^{p^\ell})$ for all $n>0$. We use this and
\'etale descent to calculate ${\sf HH}_*^{[n]}(\mathbb{F}_p[G])$ for all $n>0$
for any cyclic group $G$, and therefore also for any finitely generated abelian
group $G$. We show a splitting result for higher ${\sf THH}$ of commutative
$\mathbb{F}_p$-group algebras and use this technique to calculate higher
topological Hochschild homology of such group algebras for as large an $n$ as
${\sf THH}^{[n]}_*(\mathbb{F}_p) $ is known for.


title:
Reversals of the solar magnetic dipole in the light of observational
  data and simple dynamo models

abstract:
  Observations show that the photospheric solar magnetic dipole usually does
not vanish during the reversal of the solar magnetic field, which occurs in
each solar cycle. In contrast, mean-field solar dynamo models predict that the
dipole field does become zero. In a recent paper Moss et al. (2013) suggested
that this contradiction can be explained as a large-scale manifestation of
small-scale magnetic fluctuations of the surface poloidal field. Here we
compare this interpretation with WSO (Wilcox Solar Observatory) photospheric
magnetic field data in order to determine the amplitude of magnetic
fluctuations required to explain the phenomenon and to compare the results with
predictions from a simple dynamo model which takes these fluctuations into
account. We demonstrate that the WSO data concerning the magnetic dipole
reversals are very similar to the predictions of our very simple solar dynamo
model, which includes both mean magnetic field and fluctuations. The ratio
between the rms value of the magnetic fluctuations and the mean field is
estimated to be about 2, in reasonable agreement with estimates from sunspot
data. The reversal epoch, during which the fluctuating contribution to the
dipole is larger than that from the mean field, is about 4 months. The memory
time of the fluctuations is about 2 months. Observations demonstrate that the
rms of the magnetic fluctuations is strongly modulated by the phase of the
solar cycle. This gives additional support to the concept that the solar
magnetic field is generated by a single dynamo mechanism rather than also by
independent small-scale dynamo action. A suggestion of a weak nonaxsymmetric
magnetic field of a fluctuating nature arises from the analysis, with a
lifetime of about 1 year.


title: Bulk Viscosity in Holographic Lifshitz Hydrodynamics

abstract:
  We compute the bulk viscosity in holographic models dual to theories with
Lifshitz scaling and/or hyperscaling violation, using a generalization of the
bulk viscosity formula derived in arXiv:1103.1657 from the null focusing
equation. We find that only a class of models with massive vector fields are
truly Lifshitz scale invariant, and have a vanishing bulk viscosity. For other
holographic models with scalars and/or massless vector fields we find a
universal formula in terms of the dynamical exponent and the hyperscaling
violation exponent.

categories: hep-th cond-mat.stat-mech cond-mat.str-el physics.flu-dyn


title:
Electron energy and temperature relaxation in graphene on a
  piezoelectric substrate

abstract:
  We study the energy and temperature relaxation of electrons in graphene on a
piezoelectric substrate. Scattering from the combined potential of extrinsic
piezoelectric surface acoustical (PA) phonons of the substrate and intrinsic
deformation acoustical (DA) phonons of graphene is considered in a
(non-)degenerate gas of Dirac fermions. It is shown that in the regime of low
energies or temperatures the PA phonons dominate the relaxation and change
qualitatively its character. This prediction is relevant for quantum metrology
and electronic applications using graphene devices and suggests a new
experimental setup for probing electron-phonon coupling in graphene.


title:
Residue Formulas for Prepotentials, Instanton Expansions and Conformal
  Blocks

abstract:
  We study the extended prepotentials for the S-duality class of quiver gauge
theories, considering them as quasiclassical tau-functions, depending on gauge
theory condensates and bare couplings. The residue formulas for the third
derivatives of extended prepotentials are proven, which lead to effective way
of their computation, as expansion in the weak-coupling regime. We discuss also
the differential equations, following from the residue formulas, including the
WDVV equations, proven to be valid for the $SU(2)$ quiver gauge theories. As a
particular example we consider the constrained conformal quiver gauge theory,
corresponding to the Zamolodchikov conformal blocks by 4d/2d duality. In this
case part of the found differential equations turn into nontrivial relations
for the period matrices of hyperelliptic curves.


title: Percolation modeling of hydraulic hysteresis in a porous media

abstract:
  In this paper we consider various models of hydraulic hysteresis in invasive
mercury porosimetry. For simulating the hydraulic hysteresis is used isotropic
site percolation on three-dimensional square lattices with $(1,
d)$-neighborhood. The relationship between the percolation model parameters and
invasive porosimetry data is studied phenomenologically. The implementation of
the percolation model is based on libraries SPSL and SECP, released under
license GNU GPL-3 using the free programming language R.


title:
A gluing formula for the analytic torsion on hyperbolic manifolds with
  cusps

abstract:
  For an odd-dimensional oriented hyperbolic manifold with cusps and strongly
acyclic coefficient systems we define the Reidemeister torsion of the
Borel-Serre compactification of the manifold using bases of cohomology classes
defined via Eisenstein series by the method of Harder. In the main result of
this paper we relate this combinatorial torsion to the regularized analytic
torsion. Together with results on the asymptotic behaviour of the regularized
analytic torsion, established previously, this should have applications to
study the growth of torsion in the cohomology of arithmetic groups. Our main
result is established via a gluing formula and here our approach is heavily
inspired by a recent paper of Lesch.


title:
Potential multi-component structure of the debris disk around HIP 17439
  revealed by Herschel/DUNES

abstract:
  [abridged]
  Aims. Our Herschel Open Time Key Programme DUNES aims at detecting and
characterizing debris disks around nearby, sun-like stars. In addition to the
statistical analysis of the data, the detailed study of single objects through
spatially resolving the disk and detailed modeling of the data is a main goal
of the project.
  Methods. We obtained the first observations spatially resolving the debris
disk around the sun-like star HIP 17439 (HD23484) using the instruments PACS
and SPIRE on board the Herschel Space Observatory. Simultaneous
multi-wavelength modeling of these data together with ancillary data from the
literature is presented.
  Results. A standard single component disk model fails to reproduce the major
axis radial profiles at 70 um, 100 um, and 160 um simultaneously. Moreover, the
best-fit parameters derived from such a model suggest a very broad disk
extending from few au up to few hundreds of au from the star with a nearly
constant surface density which seems physically unlikely. However, the
constraints from both the data and our limited theoretical investigation are
not strong enough to completely rule out this model. An alternative, more
plausible, and better fitting model of the system consists of two rings of dust
at approx. 30 au and 90 au, respectively, while the constraints on the
parameters of this model are weak due to its complexity and intrinsic
degeneracies.
  Conclusions. The disk is probably composed of at least two components with
different spatial locations (but not necessarily detached), while a single,
broad disk is possible, but less likely. The two spatially well-separated rings
of dust in our best-fit model suggest the presence of at least one high mass
planet or several low-mass planets clearing the region between the two rings
from planetesimals and dust.


title:
Approximation of mixed order Sobolev functions on the $d$-torus --
  Asymptotics, preasymptotics and $d$-dependence

abstract:
  We investigate the approximation of $d$-variate periodic functions in Sobolev
spaces of dominating mixed (fractional) smoothness $s>0$ on the $d$-dimensional
torus, where the approximation error is measured in the $L_2-$norm. In other
words, we study the approximation numbers of the Sobolev embeddings $H^s_{\rm
mix}(\mathbb{T}^d)\hookrightarrow L_2(\mathbb{T}^d)$, with particular emphasis
on the dependence on the dimension $d$. For any fixed smoothness $s>0$, we find
the exact asymptotic behavior of the constants as $d\to\infty$. We observe
super-exponential decay of the constants in $d$, if $n$, the number of linear
samples of $f$, is large. In addition, motivated by numerical implementation
issues, we also focus on the error decay that can be achieved by low rank
approximations. We present some surprising results for the so-called
``preasymptotic'' decay and point out connections to the recently introduced
notion of quasi-polynomial tractability of approximation problems.


title: Topological Blocking in Quantum Quench Dynamics

abstract:
  We study the non-equilibrium dynamics of quenching through a quantum critical
point in topological systems, focusing on one of their defining features:
ground state degeneracies and associated topological sectors. We present the
notion of 'topological blocking', experienced by the dynamics due to a mismatch
in degeneracies between two phases and we argue that the dynamic evolution of
the quench depends strongly on the topological sector being probed. We
demonstrate this interplay between quench and topology in models stemming from
two extensively studied systems, the transverse Ising chain and the Kitaev
honeycomb model. Through non-local maps of each of these systems, we
effectively study spinless fermionic $p$-wave paired superconductors. Confining
the systems to ring and toroidal geometries, respectively, enables us to
cleanly address degeneracies, subtle issues of fermion occupation and parity,
and mismatches between topological sectors. We show that various features of
the quench, which are related to Kibble-Zurek physics, are sensitive to the
topological sector being probed, in particular, the overlap between the
time-evolved initial ground state and an appropriate low-energy state of the
final Hamiltonian. While most of our study is confined to translationally
invariant systems, where momentum is a convenient quantum number, we briefly
consider the effect of disorder and illustrate how this can influence the
quench in a qualitatively different way depending on the topological sector
considered.


title: A^1-connected components of schemes

abstract:
  A conjecture of Morel asserts that the sheaf of A^1-connected components of a
simplicial sheaf X is A^1-invariant. A conjecture of Asok-Morel asserts that
A^1-connected components of smooth k-schemes coincide with their
A^1-chain-connected components and are birational invariants of smooth proper
schemes. In this article, we exhibit examples of schemes for which Asok-Morel's
conjectures fail to hold and whose Sing_* is not A^1-local. We also give
equivalent conditions for Morel's conjecture to hold. A method suggested by
these results is then used to prove Morel's conjecture for non-uniruled
surfaces over a field k.


title:
A New Efficient Method for Calculation of Frenkel Exciton Parameters in
  Molecular Aggregates

abstract:
  The Frenkel exciton Hamiltonian is at the heart of many simulations of
excitation energy transfer in molecular aggregates. It separates the aggregate
into Coulomb-coupled monomers. Here it is shown that the respective parameters,
i.e. monomeric excitation energies and Coulomb couplings between transition
densities, can be efficiently calculated using time-dependent
tight-binding-based density functional theory (TD-DFTB). Specifically, Coulomb
couplings are expressed in terms of self-consistently determined Mulliken
transition charges. The determination of the sign of the coupling requires an
additional super-molecule calculation. The approach is applied to two dimer
systems. First, formaldehyde oxime for which a detailed comparison with
standard DFT using the B3LYP and the PBE functionals is provided. Second, the
Coulomb coupling is explored in dependence on the intermolecular coordinates
for a perylene bisimide dimer. This provides structural evidence for the
previously observed biphasic aggregation behavior of this dye.


title: The nature of the ferromagnetic ground state in the Mn4 molecular magnet

abstract:
  Using ab initio band structure and model calculations we studied magnetic
properties of one of the Mn$_4$ molecular magnets (Mn4(hmp)6), where two types
of the Mn ions exist: Mn3+ and Mn2+. The direct calculation of the exchange
constants in the GGA+U approximation shows that in contrast to a common belief
the strongest exchange coupling is not between two Mn3+ ions (J_{bb}), but
along two out of four exchange paths connecting Mn3+ and Mn2+ ions (J_{wb}).
The microscopic analysis performed within the perturbation theory allowed to
establish the mechanism for this largest ferromagnetic exchange constant. The
charge ordering of the Mn ions results in the situation when the energy of the
excited state in the exchange process is defined not by the large on-site
Coulomb repulsion U, but by much smaller energy V, which stabilizes the charge
ordered state. Together with strong Hund's rule coupling and specific orbital
order this leads to a large ferromagnetic exchange interaction for two out of
four Mn2+ --Mn3+ pairs.

categories: cond-mat.str-el cond-mat.mtrl-sci cond-mat.other quant-ph


title: Explicit Riemannian manifolds with unexpectedly behaving center of mass

abstract:
  The (relativistic) center of mass of an asymptotically flat Riemannian
manifold is often defined by certain surface integral expressions evaluated
along a foliation of the manifold near infinity, e. g. by Arnowitt, Deser, and
Misner (ADM). There are also what we call 'abstract' definitions of the center
of mass in terms of a foliation near infinity itself, going back to the
constant mean curvature (CMC-) foliation studied by Huisken and Yau; these give
rise to surface integral expressions when equipped with suitable systems of
coordinates. We discuss subtle asymptotic convergence issues regarding the ADM-
and the coordinate expressions related to the CMC-center of mass. In
particular, we give explicit examples demonstrating that both can diverge -- in
a setting where Einstein's equation is satisfied. We also give explicit
examples of the same asymptotic order of decay with prescribed mass and center
of mass. We illustrate both phenomena by providing analogous examples in
Newtonian gravity. Our examples conflict with some results in the literature.


title: Magnetic phase diagram and first principles study of Pb3TeCo3V2O14

abstract:
  An antiferromagnetic ordering in Pb3TeCo3V2O14 takes place through formation
of short range correlation regime with T* ~ 10.5 K and succession of second
order phase transition at TN1 = 8.9 K and first order phase transition at TN2 =
6.3 K. An external magnetic field rapidly destroys magnetic structure at T <
TN2 and influences the magnetic order at TN2 < T < TN1 resulting in complex
magnetic phase diagram of Pb3TeCo3V2O14 as derived from magnetization and
specific heat measurements. The first principles calculations indicate that in
variance with layered crystal structure the magnetic subsystem of Pb3TeCo3V2O14
is quasi-one-dimensional and highly unusual consisting of weakly coupled
triangular tubes.


title:
Privacy Preserving Enforcement of Sensitive Policies in Outsourced and
  Distributed Environments

abstract:
  The enforcement of sensitive policies in untrusted environments is still an
open challenge for policy-based systems. On the one hand, taking any
appropriate security decision requires access to these policies. On the other
hand, if such access is allowed in an untrusted environment then confidential
information might be leaked by the policies. The key challenge is how to
enforce sensitive policies and protect content in untrusted environments. In
the context of untrusted environments, we mainly distinguish between outsourced
and distributed environments. The most attractive paradigms concerning
outsourced and distributed environments are cloud computing and opportunistic
networks, respectively.
  In this dissertation, we present the design, technical and implementation
details of our proposed policy-based access control mechanisms for untrusted
environments. First of all, we provide full confidentiality of access policies
in outsourced environments, where service providers do not learn private
information about policies. We support expressive policies and take into
account contextual information. The system entities do not share any encryption
keys. For complex user management, we offer the full-fledged Role-Based Access
Control (RBAC) policies.
  In opportunistic networks, we protect content by specifying expressive
policies. In our proposed approach, brokers match subscriptions against
policies associated with content without compromising privacy of subscribers.
As a result, unauthorised brokers neither gain access to content nor learn
policies and authorised nodes gain access only if they satisfy policies
specified by publishers. Our proposed system provides scalable key management
in which loosely-coupled publishers and subscribers communicate without any
prior contact. Finally, we have developed a prototype of the system that runs
on real smartphones and analysed its performance.


title:
Completely bounded Paley projections on anisotropic Sobolev spaces on
  tori

abstract:
  We study the existence of certain completely bounded Paley projection on the
anisotropic Sobolev spaces on tori. Our result should be viewed as a
generalization of a similar result obtained by Pe{\l}czy{\'n}ski and
Wojciechowski. By a transference method, we obtain similar results on the
Sobolev spaces on quantum tori.


title: Novel Symmetries in Vector Schwinger Model

abstract:
  We derive nilpotent and absolutely anticommuting (anti-)co-BRST symmetry
transformations for the bosonized version of (1+1)-dimensional (2D) vector
Schwinger model. These symmetry transformations turn out to be the analogue of
co-exterior derivative of differential geometry as the total gauge-fixing term
remains invariant under it. The exterior derivative is realized in terms of the
(anti-)BRST symmetry transformations of the theory whereas the bosonic
symmetries find their analogue in the Laplacian operator. The algebra obeyed by
these symmetry transformations turns out to be exactly same as the algebra
obeyed by the de Rham cohomological operators of differential geometry.


title: Approximate Dynamical Systems

abstract:
  Working notes on setting up approximate dynamical systems and nonlinear
eigenvalue problems, here embedded within the theory of complex nonlinear
dynamics. Computations parallel those of linear quantum theory except that we
use functional methods rather than Hilbert space.


title: Equivariant and scale-free Tucker decomposition models

abstract:
  Analyses of array-valued datasets often involve reduced-rank array
approximations, typically obtained via least-squares or truncations of array
decompositions. However, least-squares approximations tend to be noisy in
high-dimensional settings, and may not be appropriate for arrays that include
discrete or ordinal measurements. This article develops methodology to obtain
low-rank model-based representations of continuous, discrete and ordinal data
arrays. The model is based on a parameterization of the mean array as a
multilinear product of a reduced-rank core array and a set of index-specific
orthogonal eigenvector matrices. It is shown how orthogonally equivariant
parameter estimates can be obtained from Bayesian procedures under invariant
prior distributions. Additionally, priors on the core array are developed that
act as regularizers, leading to improved inference over the standard
least-squares estimator, and providing robustness to misspecification of the
array rank. This model-based approach is extended to accommodate discrete or
ordinal data arrays using a semiparametric transformation model. The resulting
low-rank representation is scale-free, in the sense that it is invariant to
monotonic transformations of the data array. In an example analysis of a
multivariate discrete network dataset, this scale-free approach provides a more
complete description of data patterns.


title:
Entanglement Swapping in the Transactional Interpretation of Quantum
  Mechanics

abstract:
  The transactional interpretation of quantum mechanics, which uses retarded
and advanced solutions of the Schrodinger equation and its complex conjugate,
offers an original way to visualize and understand quantum processes. After a
brief review, we show how it can be applied to different quantum situations,
emphasizing the importance of specifying a complete configuration of absorbers.
We consider in more detail the phenomenon of entanglement swapping, and see how
the apparent retroactive enforcement of entanglement can be understood in the
transactional interpretation.


title: Evidence for resonant structures in e+e- to pi+pi-h_c

abstract:
  The cross sections of e+e- to pi+pi-h_c at center-of-mass energies from 3.90
to 4.42 GeV were measured by the BESIII and the CLEO-c experiments. Resonant
structures are evident in the e+e- to pi+pi-h_c line shape, the fit to the line
shape results in a narrow structure at a mass of (4216\pm 18) MeV/c^2 and a
width of (39\pm 32) MeV, and a possible wide structure of mass (4293\pm 9)
MeV/c^2 and width (222\pm 67) MeV. Here the errors are combined statistical and
systematic errors. This may indicate that the Y(4260) state observed in e+e- to
pi+pi-J/psi has fine structure in it.


title:
Explicit absolute parallelism for $2$-nondegenerate real hypersurfaces
  $M^5 \subset \mathbb{C}^3$ of constant Levi rank $1$

abstract:
  We study the local equivalence problem for five dimensional real
hypersurfaces $M^5$ of $\mathbb{C}^3$ which are $2$-nondegenerate and of
constant Levi rank $1$ under biholomorphisms. We find two invariants, $J$ and
$W$, which are expressed explicitly in terms of the graphing function $F$ of
$M$, the annulation of which give a necessary and sufficient condition for $M$
to be locally biholomorphic to a model hypersurface, the tube over the light
cone. If one of the two invariants $J$ or $W$ does not vanish on $M$, we show
that the equivalence problem under biholomophisms reduces to an equivalence
problem between $\{e \}$-structures, that is we construct an absolute
parallelism on $M$.


title:
Observation of low-field Fano-Feshbach resonances in ultracold gases of
  dysprosium

abstract:
  We report the observation of resonance-like loss in the trap population of
ultracold dysprosium as a function of magnetic field, which we attribute to
anisotropy-induced Fano-Feshbach resonances arising from Dy's large magnetic
dipole moment and nonzero electronic orbital angular momentum. We recorded
these resonances for four different isotopes, three bosonic and one fermionic,
over a field range of 0-6 G and show that the number of resonances changes
significantly as a function of temperature, even in the nK regime. Most of the
observed resonances are of very narrow width. The fermionic isotope, unlike its
bosonic counterparts, possesses nonzero nuclear spin and exhibits a much higher
density of resonances.


title:
On minimal singular metrics of certain class of line bundles whose
  section ring is not finitely generated

abstract:
  Our interest is a regularity of a minimal singular metric of a line bundle.
One main conclusion of our general result in this paper is the existence of
continuous Hermitian metrics with semi-positive curvatures on the so-called
Zariski's example of a line bundle defined over the blow-up of $\mathbb{P}^2$
at some twelve points. This is an example of a line bundle which is nef, big,
not semi-ample, and whose section ring is not finitely generated. We generalize
this result to the higher dimensional case when the stable base locus of a line
bundle is a smooth hypersurface with a holomorphic tubular neighborhood.


title:
The triangle wave versus the cosine: How classical systems can optimally
  approximate EPR-B correlations

abstract:
  The famous singlet correlations of a composite quantum system consisting of
two spatially separated components exhibit notable features of two kinds. The
first kind consists of striking certainty relations: perfect correlation and
perfect anti-correlation in certain settings. The second kind consists of a
number of symmetries, in particular, invariance under rotation, as well as
invariance under exchange of components, parity, or chirality. In this note, I
investigate the class of correlation functions that can be generated by
classical composite physical systems when we restrict attention to systems
which reproduce the certainty relations exactly, and for which the rotational
invariance of the correlation function is the manifestation of rotational
invariance of the underlying classical physics. I call such correlation
functions classical EPR-B correlations. It turns out that the other three
(binary) symmetries can then be obtained "for free": they are exhibited by the
correlation function, and can be imposed on the underlying physics by adding an
underlying randomisation level. We end up with a simple probabilistic
description of all possible classical EPR-B correlations in terms of a
"spinning coloured disk" model, and a research programme: describe these
functions in a concise analytic way. We survey open problems, and we show that
the widespread idea that "quantum correlations are more extreme than classical
physics allows" is at best highly inaccurate, through giving a concrete example
of a classical correlation which satisfies all the symmetries and all the
certainty relations and which exceeds the quantum correlations over a whole
range of settings


title: Newton force from wave function collapse: speculation and test

abstract:
  The Diosi-Penrose model of quantum-classical boundary postulates
gravity-related spontaneous wave function collapse of massive degrees of
freedom. The decoherence effects of the collapses are in principle detectable
if not masked by the overwhelming environmental decoherence. But the DP (or any
other, like GRW, CSL) spontaneous collapses are not detectable themselves, they
are merely the redundant formalism of spontaneous decoherence. To let DP
collapses become testable physics, recently we extended the DP model and
proposed that DP collapses are responsible for the emergence of the Newton
gravitational force between massive objects. We identified the collapse rate,
possibly of the order of 1/ms, with the rate of emergence of the Newton force.
A simple heuristic emergence (delay) time was added to the Newton law of
gravity. This non-relativistic delay is in peaceful coexistence with Einstein's
relativistic theory of gravitation, at least no experimental evidence has so
far surfaced against it. We derive new predictions of such a `lazy' Newton law
that will enable decisive laboratory tests with available technologies. The
simple equation of 'lazy' Newton law deserves theoretical and experimental
studies in itself, independently of the underlying quantum foundational
considerations.


title:
Tunable high-temperature thermodynamics of weakly-interacting dipolar
  gases

abstract:
  We consider dilute gases of dipolar bosons or fermions in the
high-temperature limit in a spherically symmetric harmonic trapping potential.
We examine the system using a virial expansion up to second order in the
fugacity. Using the Born approximation and assuming purely dipolar
interactions, we find that the second-order virial coefficient for both bosons
and fermions depends quadratically on the dipole length and is negative at high
temperature, indicating that to lowest order in the dipole-dipole interactions
the dipolar single-component quantum gases are repulsive. If the $s$-wave
scattering length for the bosonic system is tunable and its absolute value is
made small, then the $s$-wave interactions dominate and the dipolar as behaves
like a weakly-interacting Bose gas with isotropic $s$-wave interactions. If the
generalized scattering lengths for the fermionic system are tunable, then the
dipole length can enter linearly in the virial equation of state, enhancing the
dipole-dipole effects in the thermodynamic observables.


title: Ion Acoustic Travelling Waves

abstract:
  Models for travelling waves in multi-fluid plasmas give essential insight
into fully nonlinear wave structures in plasmas, not readily available from
either numerical simulations or from weakly nonlinear wave theories. We
illustrate these ideas using one of the simplest models of an electron-proton
multi-fluid plasma for the case where there is no magnetic field or a constant
normal magnetic field present. We show that the travelling waves can be reduced
to a single first order differential equation governing the dynamics. We also
show that the equations admit a multi-symplectic Hamiltonian formulation in
which both the space and time variables can act as the evolution variable. An
integral equation useful for calculating adiabatic, electrostatic solitary wave
signatures for multi-fluid plasmas with arbitrary mass ratios is presented. The
integral equation arises naturally from a fluid dynamics approach for a two
fluid plasma, with a given mass ratio of the two species (e.g. the plasma could
be an electron proton or an electron positron plasma). Besides its intrinsic
interest, the integral equation solution provides a useful analytical test for
numerical codes that include a proton-electron mass ratio as a fundamental
constant, such as for particle in cell (PIC) codes. The integral equation is
used to delineate the physical characteristics of ion acoustic travelling waves
consisting of hot electron and cold proton fluids.


title: Multivariate Markov-Switching models and tail risk interdependence

abstract:
  Markov switching models are often used to analyze financial returns because
of their ability to capture frequently observed stylized facts. In this paper
we consider a multivariate Student-t version of the model as a viable
alternative to the usual multivariate Gaussian distribution, providing a
natural robust extension that accounts for heavy-tails and time varying
non-linear correlations. Moreover, these modelling assumptions allow us to
capture extreme tail co-movements which are of fundamental importance to assess
the underlying dependence structure of asset returns during extreme events such
as financial crisis. For the considered model we provide new risk
interdependence measures which generalize the existing ones, like the
Conditional Value-at-Risk (CoVaR). The proposed measures aim to capture
interconnections among multiple connecting market participants which is
particularly relevant during period of crisis when several institutions may
contemporaneously experience distress instances. Those measures are
analytically evaluated on the predictive distribution of the modes in order to
provide a forward-looking risk quantification. Application on a set of U.S.
banks is considered to show that the right specification of the model
conditional distribution along with a multiple risk interdependence measure may
help to better understand how the overall risk is shared among institutions.


title:
PPPC 4 DM$\nu$: A Poor Particle Physicist Cookbook for Neutrinos from DM
  annihilations in the Sun

abstract:
  We provide ingredients and recipes for computing neutrino signals of
TeV-scale Dark Matter annihilations in the Sun. For each annihilation channel
and DM mass we present the energy spectra of neutrinos at production,
including: state-of-the-art energy losses of primary particles in solar matter,
secondary neutrinos, electroweak radiation. We then present the spectra after
propagation to the Earth, including (vacuum and matter) flavor oscillations and
interactions in solar matter. We also provide a numerical computation of the
capture rate of DM particles in the Sun. These results are available in
numerical form.


title:
The Quantum Corrected Mode Function and Power Spectrum for a Scalar
  Field during Inflation

abstract:
  We compute the one- and two-loop corrected mode function of a massless
minimally coupled scalar endowed with a quartic self-interaction in the locally
de Sitter background of an inflating universe for a state which is released in
Bunch-Davies vacuum at time $t=0$. We then employ it to correct the scalar's
tree-order scale invariant power spectrum $\Delta^2_\varphi$. The corrections
are secular, and have scale dependent part that can be expanded in even powers
of $k/(Ha)$, where $k$ is the comoving wave number, $H$ is the expansion rate
and $a$ is the cosmic scale factor. At one-loop, the scale invariant shift in
the power spectrum grows as $(Ht)^2$ in leading order. The $k$-dependent
shifts, however, are constants for each mode, in the late time limit. At
two-loop order, on the other hand, the scale invariant shift grows as $(Ht)^4$
whereas the $k$-dependent shifts grow as $(Ht)^2$, in leading order. We finally
calculate the scalar's spectral index $n_\varphi$ and the running of the
spectral index $\alpha_\varphi$. They imply that the spectrum is slightly
red-tilted; hence, the amplitudes of fluctuations grow slightly towards the
larger scales.


title: A Survey on Eye-Gaze Tracking Techniques

abstract:
  Study of eye-movement is being employed in Human Computer Interaction (HCI)
research. Eye - gaze tracking is one of the most challenging problems in the
area of computer vision. The goal of this paper is to present a review of
latest research in this continued growth of remote eye-gaze tracking. This
overview includes the basic definitions and terminologies, recent advances in
the field and finally the need of future development in the field.


title: Duality and Tilting for Commutative DG Rings

abstract:
  We consider commutative DG rings (better known as nonpositive strongly
commutative associative unital DG algebras). For such a DG ring $A$ we define
the notions of perfect, tilting, dualizing, Cohen-Macaulay and rigid DG
$A$-modules. Geometrically perfect DG modules are defined by a local condition
on $\operatorname{Spec} \bar{A}$, where $\bar{A} := \operatorname{Spec} \,
\operatorname{H}^0(A)$. Algebraically perfect DG modules are those that can be
obtained from $A$ by finitely many shifts, direct summands and cones. Tilting
DG modules are those that have inverses w.r.t. the derived tensor product;
their isomorphism classes form the derived Picard group
$\operatorname{DPic}(A)$. Dualizing DG modules are a generalization of
Grothendieck's original definition (and here $A$ has to be cohomologically
pseudo-noetherian). Cohen-Macaulay DG modules are the duals (w.r.t. a given
dualizing DG module) of finite $\bar{A}$-modules. Rigid DG $A$-modules,
relative to a commutative base ring $K$, are defined using the squaring
operation, and this is a generalization of Van den Bergh's original definition.
  The techniques we use are the standard ones of derived categories, with a few
improvements. We introduce a new method for studying DG $A$-modules: Cech
resolutions of DG $A$-modules corresponding to open coverings of
$\operatorname{Spec} \bar{A}$.
  Here are some of the new results obtained in this paper:... [truncated]
  The functorial properties of Cohen-Macaulay DG modules that we establish here
are needed for our work on rigid dualizing complexes over commutative rings,
schemes and Deligne-Mumford stacks.
  We pose several conjectures regarding existence and uniqueness of rigid DG
modules over commutative DG rings.


title:
Presentations of the principal subspaces of the higher-level standard
  $\widehat{\mathfrak{sl}(3)}$-modules

abstract:
  Using the theory of vertex operator algebras and intertwining operators, we
obtain presentations for the principal subspaces of all the standard
$\widehat{\goth{sl}(3)}$-modules. Certain of these presentations had been
conjectured and used in work of Calinescu to construct exact sequences leading
to the graded dimensions of certain principal subspaces. We prove the
conjecture in its full generality for all standard
$\widehat{\goth{sl}(3)}$-modules. We then provide a conjecture for the case of
$\widehat{\goth{sl}(n+1)}$.


title:
Analytic results for spatial coherence and information entropy of an
  optical vortex field

abstract:
  Optical vortex fields have applications in information processing and storage
and in the manipulation of microscopic particles. We present analytic results
for quantities describing the extent of spatial coherence and entropy of
one-dimensional projections of a vortex field. Sums of squares of values of
certain Jacobi polynomials are important in the analysis. A family of summation
identities is presented that provides the moments of an associated discrete
probability distribution.


title: Baseline zone estimation in two dimensions

abstract:
  We consider the problem of estimating the region on which a non-parametric
regression function is at its baseline level in two dimensions. The baseline
level typically corresponds to the minimum/maximum of the function and
estimating such regions or their complements is pertinent to several problems
arising in edge estimation, environmental statistics, fMRI and related fields.
We assume the baseline region to be convex and estimate it via fitting a
`stump' function to approximate $p$-values obtained from tests for deviation of
the regression function from its baseline level. The estimates, obtained using
an algorithm originally developed for constructing convex contours of a
density, are studied in two different sampling settings, one where several
responses can be obtained at a number of different covariate-levels
(dose-response) and the other involving limited number of response values per
covariate (standard regression). The shape of the baseline region and the
smoothness of the regression function at its boundary play a critical role in
determining the rate of convergence of our estimate: for a regression function
which is `p-regular' at the boundary of the convex baseline region, our
estimate converges at a rate $N^{2/(4p+3)}$ in the dose-response setting, $N$
being the total budget, and its analogue in the standard regression setting
converges at a rate of $N^{1/(2p+2)}$. Extensions to non-convex baseline
regions are explored as well.


title:
Measurement Analysis and Channel Modeling for TOA-Based Ranging in
  Tunnels

abstract:
  A robust and accurate positioning solution is required to increase the safety
in GPS-denied environments. Although there is a lot of available research in
this area, little has been done for confined environments such as tunnels.
Therefore, we organized a measurement campaign in a basement tunnel of
Link\"{o}ping university, in which we obtained ultra-wideband (UWB) complex
impulse responses for line-of-sight (LOS), and three non-LOS (NLOS) scenarios.
This paper is focused on time-of-arrival (TOA) ranging since this technique can
provide the most accurate range estimates, which are required for range-based
positioning. We describe the measurement setup and procedure, select the
threshold for TOA estimation, analyze the channel propagation parameters
obtained from the power delay profile (PDP), and provide statistical model for
ranging. According to our results, the rise-time should be used for NLOS
identification, and the maximum excess delay should be used for NLOS error
mitigation. However, the NLOS condition cannot be perfectly determined, so the
distance likelihood has to be represented in a Gaussian mixture form. We also
compared these results with measurements from a mine tunnel, and found a
similar behavior.


title:
A Geometric Monte Carlo Algorithm for the Antiferromagnetic Ising model
  with "Topological" Term at $\theta=\pi$

abstract:
  In this work we study the two and three-dimensional antiferromagnetic Ising
model with an imaginary magnetic field $i\theta$ at $\theta=\pi$. In order to
perform numerical simulations of the system we introduce a new geometric
algorithm not affected by the sign problem. Our results for the $2D$ model are
in agreement with the analytical solutions. We also present new results for the
$3D$ model which are qualitatively in agreement with mean-field predictions.


title: Spreading Dynamics of Nanodrops: A Lattice Boltzmann Study

abstract:
  Spreading of nano-droplets is an interesting and technologically relevant
phenomenon where thermal fluctuations lead to unexpected deviations from
well-known deterministic laws. Here, we apply the newly developed fluctuating
non-ideal lattice Boltzmann method [Gross et al., J. Stat. Mech., P03030
(2011)] for the study of this issue. Confirming the predictions of Davidovich
and coworkers [PRL 95, 244905 (2005)], we provide the first independent
evidence for the existence of an asymptotic, self-similar noise-driven
spreading regime in both two- and three-dimensional geometry. The cross over
from the deterministic Tanner's law, where the drop's base radius $b$ grows (in
3D) with time as $b \sim t^{1/10}$ and the noise dominated regime where $b \sim
t^{1/6}$ is also observed by tuning the strength of thermal noise.


title: Certification of modular Galois representations

abstract:
  We show how the output of the algorithm to compute modular Galois
representations described in our previous article can be certified. We have
used this process to compute certified tables of such Galois representations
obtained thanks to an improved version of this algorithm, including
representations modulo primes up to 31 and representations attached to a
newform with non-rational (but of course algebraic) coefficients, which had
never been done before. These computations take place in the Jacobian of
modular curves of genus up to 26. The resulting data are available on the
author's webpage,
http://www2.warwick.ac.uk/fac/sci/maths/people/staff/mascot/galreps.


title: Vacuum refractive indices and helicity flip in strong-field QED

abstract:
  Vacuum birefringence is governed by the amplitude for a photon to flip
helicity or polarisation state in an external field. Here we calculate the flip
and non-flip amplitudes in arbitrary plane wave backgrounds, along with the
induced spacetime-dependent refractive indices of the vacuum. We compare the
behaviour of the amplitudes in the low energy and high energy regimes, and
analyse the impact of pulse shape and energy. We also provide the first
lightfront-QED derivation of the coefficients in the Heisenberg-Euler effective
action.


title: Spectral data and solvent theory for regular matrix polynomials

abstract:
  This paper contains a re-evaluation of the spectral approach and
factorizability for regular matrix polynomials. In addition, solvent theory is
extended from the monic and comonic cases to the regular case. The
classification of extended solvents (bisolvents) is shown to be equivalent to
the classification of all the regular first order right factors for a general
matrix polynomial.


title: Output Synchronization of Nonlinear Systems under Input Disturbances

abstract:
  We study synchronization of nonlinear systems that satisfy an incremental
passivity property. We consider the case where the control input is subject to
a class of disturbances, including constant and sinusoidal disturbances with
unknown phases and magnitudes and known frequencies. We design a distributed
control law that recovers the synchronization of the nonlinear systems in the
presence of the disturbances. Simulation results of Goodwin oscillators
illustrate the effectiveness of the control law. Finally, we highlight the
connection of the proposed control law to the dynamic average consensus
estimator developed in [1].


title:
A General Criterion for Liquefaction in Granular Layers with
  Heterogeneous Pore Pressure

abstract:
  Fluid-saturated granular and porous layers can undergo liquefaction and lose
their shear resistance when subjected to shear forcing. In geosystems, such a
process can lead to severe natural hazards of soil liquefaction, accelerating
slope failure, and large earthquakes. Terzaghi's principle of effective stress
predicts that liquefaction occurs when the pore pressure within the layer
becomes equal to the applied normal stress on the layer. However, under dynamic
loading and when the internal permeability is relatively small the pore
pressure is spatially heterogeneous and it is not clear what measurement of
pore pressure should be used in Terzaghi's principle. Here, we show
theoretically and demonstrate using numerical simulations a general criterion
for liquefaction that applies also for the cases in which the pore pressure is
spatially heterogeneous. The general criterion demands that the average pore
pressure along a continuous surface within the fluid-saturated granular or
porous layer is equal to the applied normal stress.


title: Conformal maps of Carnot groups

abstract:
  If f is a conformal mapping defined on a connected open subset of a Carnot
group G, then either f is the composition of a translation, a dilation and an
isometry, or G is the nilpotent Iwasawa component of a real rank 1 simple Lie
group S, and f arises from the action of S on G, viewed as an open subset of
S/P, where P is a parabolic subgroup of G and NP is open and dense in S.


title: Homological stability for complements of closures

abstract:
  We prove Conjecture F from [VW12] which states that the complements of
closures of certain strata of the symmetric power of a smooth irreducible
complex variety exhibit rational homological stability. Moreover, we generalize
this conjecture to the case of connected manifolds of dimension at least 2 and
give an explicit homological stability range.


title:
The Last 50 Years of General Relativity and Gravitation: From GR3 to
  GR20 Warsaw Conferences

abstract:
  This article has a dual purpose: i) to provide a flavor of the scientific
highlights of the landmark conference, GR3, held in July 1962 at Jablonna, near
Warsaw; and, ii) to present a bird's eye view of the tremendous advances that
have occurred over the half century that separates GR3 and GR20, which was
again held in Warsaw in July 2013.


title: Opacity with Orwellian Observers and Intransitive Non-interference

abstract:
  Opacity is a general behavioural security scheme flexible enough to account
for several specific properties. Some secret set of behaviors of a system is
opaque if a passive attacker can never tell whether the observed behavior is a
secret one or not. Instead of considering the case of static observability
where the set of observable events is fixed off line or dynamic observability
where the set of observable events changes over time depending on the history
of the trace, we consider Orwellian partial observability where unobservable
events are not revealed unless a downgrading event occurs in the future of the
trace. We show how to verify that some regular secret is opaque for a regular
language L w.r.t. an Orwellian projection while it has been proved undecidable
even for a regular language L w.r.t. a general Orwellian observation function.
We finally illustrate relevancy of our results by proving the equivalence
between the opacity property of regular secrets w.r.t. Orwellian projection and
the intransitive non-interference property.


title:
Canonical Structure of Field Theories with Boundaries and Applications
  to Gauge Theories

abstract:
  In this paper, we present a review of the canonical structure of field
theories defined on manifolds with time-like boundaries. The notion of
differentiable generator is shown to be a requirement coming from the
consistency of the symplectic structure. We show how this structure can be
applied to classify the possible boundary conditions of a general gauge theory.
We then review the definition and properties of surface charges. We show how
the notion of differentiable generators allows the direct computation of the
phase-space of boundary gauge degrees of freedom.


title: Le syst\`eme d'Euler de Kato en famille (II)

abstract:
  This article is the second article on the generalization of Kato's Euler
system. The main subject of this article is to construct a family of Kato's
Euler systems over the cuspidal eigencurve, which interpolate the Kato's Euler
systems associated to the modular forms parametrized by the cuspidal
eigencurve. We also explain how to use this family of Kato's Euler system to
construct a family of distributions on $Z_p$ over the cuspidal eigencurve; this
distribution gives us a two variable $p$-adic L function which interpolate the
$p$-adic L function of modular forms.


title:
Shear and bulk viscosities of the hadron gas within relaxation time
  approximation and its test

abstract:
  We concentrate on calculation of the shear and bulk viscosities of the hadron
gas. They define its dissipative dynamics and influence its experimentally
measurable elliptic flow. Due to difficulty of this calculation the relaxation
time approximation (RTA) was used in previous works. As those results have
approached the realistic ones, there is a need to find out how accurate the RTA
is. For this sake we calculate the viscosities in the RTA using cross sections
extracted from the ultrarelativistic quantum molecular dynamics (UrQMD) model
and compare them with the same ones calculated without the RTA. This allows us
to find the estimates of errors due to the application of RTA in the
calculations of the viscosities, which are valid also for other similar models.
For instance, in the temperature region $100 MeV \lesssim T \lesssim 160 MeV$
at zero chemical potentials the shear viscosity becomes smaller up to $1.57$
times, or up to $1.45$ times if the averaged relaxation time is used. This has
important consequences for interpretation of the previously made calculations
of the viscosities and some other related calculations. Within the RTA, we also
find estimation of the enhancement of the bulk viscosity of the hadron gas
because of nonconservation of particle numbers. This is a little more extended
version in compare to the published paper, where we were limited in paper's
size and time.


title:
Growing Regression Forests by Classification: Applications to Object
  Pose Estimation

abstract:
  In this work, we propose a novel node splitting method for regression trees
and incorporate it into the regression forest framework. Unlike traditional
binary splitting, where the splitting rule is selected from a predefined set of
binary splitting rules via trial-and-error, the proposed node splitting method
first finds clusters of the training data which at least locally minimize the
empirical loss without considering the input space. Then splitting rules which
preserve the found clusters as much as possible are determined by casting the
problem into a classification problem. Consequently, our new node splitting
method enjoys more freedom in choosing the splitting rules, resulting in more
efficient tree structures. In addition to the Euclidean target space, we
present a variant which can naturally deal with a circular target space by the
proper use of circular statistics. We apply the regression forest employing our
node splitting to head pose estimation (Euclidean target space) and car
direction estimation (circular target space) and demonstrate that the proposed
method significantly outperforms state-of-the-art methods (38.5% and 22.5%
error reduction respectively).


title: Complex short pulse and coupled complex short pulse equations

abstract:
  In the present paper, we propose a complex short pulse equation and a coupled
complex short equation to describe ultra-short pulse propagation in optical
fibers. They are shown to be integrable due to the existence of Lax pairs and
infinite number of conservation laws. Furthermore, we construct their
multi-soliton solutions in terms of pfaffians by virtue of Hirota bilinear
method. One- and two-soliton solutions are investigated in details, showing
favorable properties in modeling ultra-short pulses with a few optical cycles.
Especially, same as the coupled nonlinear Schrodinger equation, interactions
between two solitons are basically inelastic, which deserve further study and
has potential applications.


title:
Uniform Ergodicity of the Iterated Conditional SMC and Geometric
  Ergodicity of Particle Gibbs samplers

abstract:
  We establish quantitative bounds for rates of convergence and asymptotic
variances for iterated conditional sequential Monte Carlo (i-cSMC) Markov
chains and associated particle Gibbs samplers. Our main findings are that the
essential boundedness of potential functions associated with the i-cSMC
algorithm provide necessary and sufficient conditions for the uniform
ergodicity of the i-cSMC Markov chain, as well as quantitative bounds on its
(uniformly geometric) rate of convergence. Furthermore, we show that the i-cSMC
Markov chain cannot even be geometrically ergodic if this essential boundedness
does not hold in many applications of interest. Our sufficiency and
quantitative bounds rely on a novel non-asymptotic analysis of the expectation
of a standard normalizing constant estimate with respect to a "doubly
conditional" SMC algorithm. In addition, our results for i-cSMC imply that the
rate of convergence can be improved arbitrarily by increasing N, the number of
particles in the algorithm, and that in the presence of mixing assumptions, the
rate of convergence can be kept constant by increasing N linearly with the time
horizon. We translate the sufficiency of the boundedness condition for i-cSMC
into sufficient conditions for the particle Gibbs Markov chain to be
geometrically ergodic and quantitative bounds on its geometric rate of
convergence, which imply convergence of properties of the particle Gibbs Markov
chain to those of its corresponding Gibbs sampler. These results complement
recently discovered, and related, conditions for the particle marginal
Metropolis-Hastings (PMMH) Markov chain.


title: The 14th case VHS via K3 fibrations

abstract:
  We present a study of certain singular one-parameter subfamilies of
Calabi-Yau threefolds realized as anticanonical hypersurfaces or complete
intersections in toric varieties. Our attention to these families is motivated
by the Doran-Morgan classification of variations of Hodge structure which can
underlie families of Calabi-Yau threefolds with $h^{2,1} = 1$ over the
thrice-punctured sphere. We explore their torically induced fibrations by
$M$-polarized K3 surfaces and use these fibrations to construct an explicit
geometric transition between an anticanonical hypersurface and a nef complete
intersection through a singular subfamily of hypersurfaces. Moreover, we show
that another singular subfamily provides a geometric realization of the missing
"14th case" variation of Hodge structure from the Doran-Morgan list.


title: Families of lattice polarized K3 surfaces with monodromy

abstract:
  We extend the notion of lattice polarization for K3 surfaces to families over
a (not necessarily simply connected) base, in a way that gives control over the
action of monodromy on the algebraic cycles, and discuss the uses of this new
theory in the study of families of K3 surfaces admitting fibrewise symplectic
automorphisms. We then give an application of these ideas to the study of
Calabi-Yau threefolds admitting fibrations by lattice polarized K3 surfaces.


title: Impact of Low Rotational Inertia on Power System Stability and Operation

abstract:
  Large-scale deployment of RES has led to significant generation shares of
variable RES in power systems worldwide. RES units, notably inverter-connected
wind turbines and PV that as such do not provide rotational inertia, are
effectively displacing conventional generators and their rotating machinery.
The traditional assumption that grid inertia is sufficiently high with only
small variations over time is thus not valid for power systems with high RES
shares. This has implications for frequency dynamics and power system stability
and operation. Frequency dynamics are faster in power systems with low
rotational inertia, making frequency control and power system operation more
challenging. This paper investigates the impact of low rotational inertia on
power system stability and operation, contributes new analysis insights and
offers mitigation options for low inertia impacts.


title: Multisymplectic geometry and Lie groupoids

abstract:
  We study higher-degree generalizations of symplectic groupoids, referred to
as {\em multisymplectic groupoids}. Recalling that Poisson structures may be
viewed as infinitesimal counterparts of symplectic groupoids, we describe
"higher'' versions of Poisson structures by identifying the infinitesimal
counterparts of multisymplectic groupoids. Some basic examples and features are
discussed.


title: Pressure Excitation and Ionisation:a Simple One-Dimensional Example

abstract:
  In interiors of celestial objects matter is subdued to extremely high values
of pressure.Theoretical analysis of the behaviour of atoms and molecules under
high pressure is a complex quantum mechanical and statistical problem. The aim
of the present letter is to demonstrate, on a known one-dimensional quantum
mechanical system, the reality of excitation and ultimately ionisation of atoms
and/or molecules under the influence of high external pressure.


title: Variations on the Sum-Product Problem

abstract:
  This paper considers various formulations of the sum-product problem. It is
shown that, for a finite set $A\subset{\mathbb{R}}$,
$$|A(A+A)|\gg{|A|^{\frac{3}{2}+\frac{1}{178}}},$$ giving a partial answer to a
conjecture of Balog. In a similar spirit, it is established that
$$|A(A+A+A+A)|\gg{\frac{|A|^2}{\log{|A|}}},$$ a bound which is optimal up to
constant and logarithmic factors. We also prove several new results concerning
sum-product estimates and expanders, for example, showing that
$$|A(A+a)|\gg{|A|^{3/2}}$$ holds for a typical element of $A$.


title:
Sequence Capture Versus Restriction Site Associated DNA Sequencing for
  Phylogeography

abstract:
  Genomic datasets generated with massively parallel sequencing methods have
the potential to propel systematics in new and exciting directions, but
selecting appropriate markers and methods is not straightforward. We applied
two approaches with particular promise for systematics, restriction site
associated DNA sequencing (RAD-Seq) and sequence capture (Seq-cap) of
ultraconserved elements (UCEs), to the same set of samples from a non-model,
Neotropical bird. We found that both RAD-Seq and Seq-cap produced genomic
datasets containing thousands of loci and SNPs and that the inferred population
assignments and species trees were concordant between datasets. However,
model-based estimates of demographic parameters differed between datasets,
particularly when we estimated the parameters using a method based on allele
frequency spectra. The differences we observed may result from differences in
assembly, alignment, and filtering of sequence data between methods, and our
findings suggest that caution is warranted when using allele frequencies to
estimate parameters from low-coverage sequencing data. We further explored the
differences between methods using simulated Seq-cap- and RAD-Seq-like datasets.
Analyses of simulated data suggest that increasing the number of loci from 500
to 5000 increased phylogenetic concordance factors and the accuracy and
precision of demographic parameter estimates, but increasing the number of loci
past 5000 resulted in minimal gains. Increasing locus length from 64 bp to 500
bp improved phylogenetic concordance factors and minimal gains were observed
with loci longer than 500 bp, but locus length did not influence the accuracy
and precision of demographic parameter estimates. We discuss our results
relative to the diversity of data collection methods available, and we provide
advice for harnessing next-generation sequencing for systematics research.


title:
Measurement of four-jet production in proton-proton collisions at
  sqrt(s) = 7 TeV

abstract:
  Measurements of the differential cross sections for the production of exactly
four jets in proton-proton collisions are presented as a function of the
transverse momentum pt and pseudorapidity eta, together with the correlations
in azimuthal angle and the pt balance among the jets. The data sample was
collected in 2010 at a center-of-mass energy of 7 TeV with the CMS detector at
the LHC, with an integrated luminosity of 36 inverse picobarns. The cross
section for a final state with a pair of hard jets with pt > 50 GeV and another
pair with pt > 20 GeV within abs(eta) < 4.7 is measured to be sigma = 330 +- 5
(stat.) +- 45 (syst.) nb. It is found that fixed-order matrix element
calculations including parton showers describe the measured differential cross
sections in some regions of phase space only, and that adding contributions
from double parton scattering brings the Monte Carlo predictions closer to the
data.


title:
Crystal growth, transport phenomena and two gap superconductivity in the
  mixed alkali metal $(K_{1-z}Na_z)_{x}Fe_{2-y}Se_2$ iron selenide

abstract:
  Using the self-flux technique we grew superconducting
$(K_{1-z}Na_z)_{x}Fe_{2-y}Se_2$ (z = 0.3) single crystals. The EDX mapping
revealed the uniform elements distribution on the crystal surface while the XRD
measurements indicate that the crystals are compositionally inhomogenous on
nanoscale. The physical properties of the as-prepared sample are characterized
by electrical resistivity, magnetization and specific heat measurements.
Resistivity measurements show the onset of the superconducting transition at 33
K and zero resistivity at 31.7 K. The large upper critical field $H_{c2}$(0)
was estimated as high as about of 140 T for the in-plane field and 38 T for the
out-of-plane field. The anisotropy of $H_{c2}^{ab}(0)/H_{c2}^{c}(0)$ and
coherence lengths $\xi^{ab}(0)/\xi^{c}$(0) was found to be around 3.7. The
pioneer studies by multiple Andreev reflections effect spectroscopy
("break-junction" technique) revealed the presence of two anisotropic
superconducting gaps $\Delta_L\,=\,(9.3\pm1.5)\,meV$,
$\Delta_S\,=\,(1.9\pm0.4)\,meV$, and provided measuring of the $\Delta_L$(T)
temperature dependence. The BCS-ratio for the large gap
$2\Delta_L/k_BT_c^{bulk}\,\approx\,6.3$ points to a strong electron-boson
coupling in the "driving" condensate characterized by $\Delta_L$ order
parameter.


title: Light-induced atomic desorption in a compact system for ultracold atoms

abstract:
  In recent years, light-induced atomic desorption (LIAD) of alkali atoms from
the inner surface of a vacuum chamber has been employed in cold atom
experiments for the purpose of modulating the alkali background vapour. This is
beneficial because larger trapped atom samples can be loaded from vapour at
higher pressure, after which the pressure is reduced to increase the lifetime
of the sample. We present an analysis, based on the case of rubidium atoms
adsorbed on pyrex, of various aspects of LIAD that are useful for this
application. Firstly, we study the intensity dependence of LIAD by fitting the
experimental data with a rate-equation model, from which we extract a correct
prediction for the increase in trapped atom number. Following this, we quantify
a figure of merit for the utility of LIAD in cold atom experiments and we show
how it can be optimised for realistic experimental parameters.


title: Global inequality in energy consumption from 1980 to 2010

abstract:
  We study the global probability distribution of energy consumption per capita
around the world using data from the U.S. Energy Information Administration
(EIA) for 1980-2010. We find that the Lorenz curves have moved up during this
time period, and the Gini coefficient G has decreased from 0.66 in 1980 to 0.55
in 2010, indicating a decrease in inequality. The global probability
distribution of energy consumption per capita in 2010 is close to the
exponential distribution with G=0.5. We attribute this result to the
globalization of the world economy, which mixes the world and brings it closer
to the state of maximal entropy. We argue that global energy production is a
limited resource that is partitioned among the world population. The most
probable partition is the one that maximizes entropy, thus resulting in the
exponential distribution function. A consequence of the latter is the law of
1/3: the top 1/3 of the world population consumes 2/3 of produced energy. We
also find similar results for the global probability distribution of CO2
emissions per capita.


title: A note on the undercut procedure

abstract:
  The undercut procedure was presented by Brams et al. [2] as a procedure for
identifying an envy-free allocation when agents have preferences over sets of
objects. They assumed that agents have strict preferences over objects and
their preferences are extended over to sets of objects via the responsive set
extension. We point out some shortcomings of the undercut procedure. We then
simplify the undercut procedure of Brams et al. [2] and show that it works
under a more general condition where agents may express indifference between
objects and they may not necessarily have responsive preferences over sets of
objects. Finally, we show that the procedure works even if agents have unequal
claims.


title:
Concurrent multi-domain simulations in linear structural dynamics using
  multiple grid multiple time-scale (MGMT) method

abstract:
  Work presented in this paper describes a general algorithm and its finite
element implementation for performing concurrent multiple sub-domain
simulations in linear structural dynamics. Using this approach one can solve
problems in which the domain under analysis can be selectively discretized
spatially and temporally, hence allowing the user to obtain a desired level of
accuracy in critical regions while improving computational efficiency globally.
The mathematical background for this approach is largely based upon the
fundamental principles of domain decomposition methods (DDM) and Lagrange
multipliers, used to obtain coupled equations of motion for distinct regions of
a continuous domain. These methods when combined together systematically yield
constraint forces that not only ensure conservation of energy but also enforce
continuity of velocities across sub-domain interfaces. Multiple grid (MG)
connections between non-conforming sub-domains are modeled using mortar
elements whereas coupled multiple time-scale (MT) equations are derived for the
classical Newmark integration algorithm (and its constituents). Fully
discretized equations of motion for component sub-domains, augmented with an
interface condition are then solved using block elimination method and Crout
factorization.
  A proof of stability is provided using Energy method and overall efficiency,
accuracy and stability of multiple sub-domain coupling is evaluated using a
series of numerical examples. Primary observations are made for the evolution
and distribution of kinematic quantities and structural wave propagation across
connecting sub-domain. Numerical stability is verified by ensuring energy
balance at global as well as component sub-domain level. Discussed examples
highlight the greatest advantage of MGMT method; which is high simulation
speedups (at the cost of reasonably small errors).


title:
Localized ASD moduli spaces based on the reduced cohomology group over
  Casson handles

abstract:
  In this paper, we introduce a deformation analysis of index theory over non
compact manifolds, by use of new functional spaces which are the reduced
version of Sobolev spaces. It allows to construct Fredholm theory for elliptic
differential operators over non compact spaces which possibly do not have
closed range with respect to the standard Sobolev spaces. We apply it to
construct moduli theory mainly over Casson handles, and obtain another approach
to see high complexity of their smooth structure.


title: Incremental Network Design with Maximum Flows

abstract:
  We study an incremental network design problem, where in each time period of
the planning horizon an arc can be added to the network and a maximum flow
problem is solved, and where the objective is to maximize the cumulative flow
over the entire planning horizon. After presenting two mixed integer
programming (MIP) formulations for this NP-complete problem, we describe
several heuristics and prove performance bounds for some special cases. In a
series of computational experiments, we compare the performance of the MIP
formulations as well as the heuristics.


title: Radial modulation enhances critical fields in 2d superconductors

abstract:
  The 1964 reports of Fulde, Ferrell, Larkin, and Ovchinnikov (FFLO or LOFF) on
paramagnetic enhancement of superconductivity suggested that superconductivity
can persist at applied magnetic fields above both its orbital and paramagnetic
limits. By forming spatially alternating superconducting and paramagnetic
regions, the increase in local magnetic field in the paramagnetic region allows
a reduction in field inside the superconductor. We present an FFLO phase
diagram model for layered organic superconductors and confirm it with high
magnetic field data from four materials. Our work suggests that paramagnetic
and superconducting regions form as radially alternating rings about each
vortex rather than plane waves, as FFLO is usually described.