title: Subgroup decomposition in Out(F_n), Part I: Geometric Models

abstract:
  This is the first in a series of four papers (with research announcement
posted on this arXiv) that together develop a decomposition theory for
subgroups of Out(F_n).
  In this paper we develop further the theory of geometric EG strata of
relative train track maps originally introduced in the work of Bestvina,
Feighn, and Handel on the Tits alternative, with our focus trained on certain
2-dimensional models of such strata called "geometric models" and on the
interesting properties of these models. A secondary purpose of this paper is to
serve as a central reference for the whole series regarding basic facts of the
general theory for elements of Out(F_n).


title: Subgroup decomposition in Out(F_n), Part II: A relative Kolchin theorem

abstract:
  This is the second in a series of four papers (with research announcement
posted on this arXiv) that together develop a decomposition theory for
subgroups of Out(F_n). In this paper we relativize the "Kolchin-type theorem"
from the work of Bestvina, Feighn, and Handel on the Tits alternative, which
describes a decomposition theory for subgroups H of Out(F_n) all of whose
elements have polynomial growth.
  The Relative Kolchin Theorem allows subgroups H whose elements have
exponential growth, as long as all such exponential growth is cordoned off in
some free factor system F which is invariant under every element of H. The
conclusion is that a certain finite index subgroup of H has an invariant
filtration by free factor systems going from F up to the full free factor
system by individual steps each of which is a "one-edge extension".
  We also study the kernel of the action of Out(F_n) on homology with Z/3
coefficients, and we prove Theorem B from the research announcement, which
describes strong finite permutation behavior of all elements of this kernel.


title: Rigidity of thin disk configurations, via fixed-point index

abstract:
  We prove some rigidity theorems for configurations of closed disks. First,
fix two collections $\mathcal{C}$ and $\tilde{\mathcal{C}}$ of closed disks in
the Riemann sphere $\hat{\mathbb{C}}$, sharing a contact graph which
(mostly-)triangulates $\hat{\mathbb{C}}$, so that for all corresponding pairs
of intersecting disks $D_i, D_j \in \mathcal{C}$ and $\tilde D_i, \tilde D_j
\in \tilde{\mathcal{C}}$ we have that the overlap angle between $D_i$ and $D_j$
agrees with that between $\tilde D_i$ and $\tilde D_j$. We require the extra
condition that the collections are "thin", meaning that no pair of disks of
$\mathcal{C}$ meet in the interior of a third, and similarly for
$\tilde{\mathcal{C}}$. Then $\mathcal{C}$ and $\tilde{\mathcal{C}}$ differ by a
M\"obius or anti-M\"obius transformation. We also prove the analogous
statements for collections of closed disks in the complex plane $\mathbb{C}$,
and in the hyperbolic plane $\mathbb{H}^2$.
  Our method of proof is elementary and self-contained, relying only on plane
topology arguments and manipulations by M\"obius transformations. In
particular, we generalize a fixed-point argument which was previously applied
by Schramm and He to prove the analogs of our theorems in the circle-packing
setting, that is, where the disks in question are pairwise interiorwise
disjoint. It was previously thought that these methods of proof depended too
crucially on the pairwise interiorwise disjointness of the disks for there to
be a hope for generalizing them to the setting of configurations of overlapping
disks.
  We end by stating some open problems and conjectures, including conjectured
generalizations both of our main result and of our main technical theorem.
Specifically, we conjecture that our thinness condition is unnecessary in the
statements of our main theorems.


title: On higher congruences between automorphic forms

abstract:
  We prove a commutative algebra result which has consequences for congruences
between automorphic forms modulo prime powers. If C denotes the congruence
module for a fixed automorphic Hecke eigenform \pi_0 we prove an exact relation
between the p-adic valuation of the order of C and the sum of the exponents of
p-power congruences between the Hecke eigenvalues of \pi_0 and other
automorphic forms. We apply this result to several situations including the
congruences described by Mazur's Eisenstein ideal.


title:
On circular Bragg regimes in ellipsometry spectra of ambichiral
  sculptured thin films

abstract:
  The generalized ellipsometry formalism is used for a right handed ambichiral
sculptured thin film.The amplitude ratios and phase differences of this
structure are extracted from the amplitude transmission ratios. The results
showed that the circular Bragg regimes appear with abruptly changes in
ellipsometry spectrum as wavelength, where the selective circular transmission
is maximized.


title: Surface gravities for non-Killing horizons

abstract:
  There are many logically and computationally distinct characterizations of
the surface gravity of a horizon, just as there are many logically rather
distinct notions of horizon. Fortunately, in standard general relativity, for
stationary horizons, most of these characterizations are degenerate. However,
in modified gravity, or in analogue spacetimes, horizons may be non-Killing or
even non-null, and hence these degeneracies can be lifted. We present a brief
overview of the key issues, specifically focusing on horizons in analogue
spacetimes and universal horizons in modified gravity.


title: Efficient Desynchronization of Thermostatically Controlled Loads

abstract:
  This paper considers demand side management in smart power grid systems
containing significant numbers of thermostatically controlled loads such as air
conditioning systems, heat pumps, etc. Recent studies have shown that the
overall power consumption of such systems can be regulated up and down
centrally by broadcasting small setpoint change commands without significantly
impacting consumer comfort. However, sudden simultaneous setpoint changes
induce undesirable power consumption oscillations due to sudden synchronization
of the on/off cycles of the individual units. In this paper, we present a novel
algorithm for counter-acting these unwanted oscillations, which requires
neither central management of the individual units nor communication between
units. We present a formal proof of convergence of homogeneous populations to
desynchronized status, as well as simulations that indicate that the algorithm
is able to effectively dampen power consumption oscillations for both
homogeneous and heterogeneous populations of thermostatically controlled loads.


title: Maximal linear spaces contained in the base loci of pencils of quadrics

abstract:
  The geometry of the Fano scheme of maximal linear spaces contained in the
base locus of a pencil of quadrics has been studied by algebraic geometers when
the base field is algebraically closed. In this paper, we work over an
arbitrary base field of characteristic not equal to 2 and show how these Fano
schemes are related to the Jacobians of hyperelliptic curves. In particular, if
$B$ is the base locus of a generic pencil of quadrics in $\bbp^{2n+1}$, and $F$
is the Fano variety of $n - 1$ planes contained in $B$, then $F$ is a component
of a disconnected commutative algebraic group $G = \picz(C) \dcup F \dcup
\pico(C) \dcup F'$, where $C$ is the hyperelliptic curve defined by the
discriminant form of the pencil. In the second half of this paper, we study
regular pencils of quadrics, where the hyperelliptic curve defined by the
discriminant is singular.


title:
On a connection between the reliability of multi-channel systems and the
  notion of controlled-invariance entropy

abstract:
  The purpose of this note is to establish a connection between the problem of
reliability (when there is an intermittent control-input channel failure that
may occur between actuators, controllers and/or sensors in the system) and the
notion of controlled-invariance entropy of a multi-channel system (with respect
to a subset of control-input channels and/or a class of control functions). We
remark that such a connection could be used for assessing the reliability (or
the vulnerability) of the system, when some of these control-input channels are
compromised with an external "malicious" agent that may try to prevent the
system from achieving more of its goal (such as from attaining invariance of a
given compact state and/or output subspace).


title: Hypergraph Turan numbers of linear cycles

abstract:
  A k-uniform linear cycle of length s is a cyclic list of k-sets A_1,..., A_s
such that consecutive sets intersect in exactly one element and nonconsecutive
sets are disjoint. For all k at least 5 and s at least 3 and sufficiently large
n we determine the largest size of a k-uniform set family on [n] not containing
a linear cycle of length s. For odd s=2t+1 the unique extremal family F_S
consists of all k-sets in [n] intersecting a fixed t-set S in [n]. For even
s=2t+2, the unique extremal family consists of F_S plus all the k-sets outside
S containing some fixed two elements.
  For k at least 4 and large n we also establish an exact result for so-called
minimal cycles. For all k at least 4 our results substantially extend Erdos'
result on largest k-uniform families without t+1 pairwise disjoint members and
confirm, in a stronger form, a conjecture of Mubayi and Verstraete. Our main
method is the delta system method.


title:
Scientific Potential of DECIGO Pathfinder and Testing GR with
  Space-Borne Gravitational Wave Interferometers

abstract:
  DECIGO Pathfinder (DPF) has an ability to detect gravitational waves from
galactic intermediate-mass black hole binaries. If the signal is detected, it
would be possible to determine parameters of the binary components.
Furthermore, by using future space-borne gravitational wave interferometers, it
would be possible to test alternative theories of gravity in the strong field
regime. In this review article, we first explain how the detectors like DPF and
DECIGO/BBO work and discuss the expected event rates. Then, we review how the
observed gravitational waveforms from precessing compact binaries with slightly
eccentric orbits can be calculated both in general relativity and in
alternative theories of gravity. For the latter, we focus on Brans-Dicke and
massive gravity theories. After reviewing these theories, we show the results
of the parameter estimation with DPF using the Fisher analysis. We also discuss
a possible joint search of DPF and ground-based interferometers. Then, we show
the results of testing alternative theories of gravity using future space-borne
interferometers. DECIGO/BBO would be able to place 4--5 orders of magnitude
stronger constraint on Brans-Dicke theory than the solar system experiment.
This is still 1--2 orders of magnitude stronger than the future solar system
mission such as ASTROD I. On the other hand, LISA should be able to put 4
orders of magnitude more stringent constraint on the mass of the graviton than
the current solar system bound. DPF may be able to place comparable constraint
on the massive gravity theories as the solar system bound. We also discuss the
prospects of using eLISA and ASTROD-GW in testing alternative theories of
gravity. The bounds using eLISA are similar to the LISA ones, but ASTROD-GW
performs the best in constraining massive gravity theories among all the
gravitational wave detectors considered in this article.


title:
The enclosure method for inverse obstacle scattering problems with
  dynamical data over a finite time interval: III. Sound-soft obstacle and
  bistatic data

abstract:
  This paper is concerned with an inverse obstacle problem which employs the
dynamical scattering data of acoustic wave over a finite time interval. The
unknown obstacle is assumed to be sound-soft one. The governing equation of the
wave is given by the classical wave equation. The wave is generated by the
initial data localized outside the obstacle and observed over a finite time
interval at a place which is not necessary the same as the support of the
initial data. The observed data are the so-called bistatic data. In this paper,
an enclosure method which employs the bistatic data and is based on two main
analytical formulae, is developed. The first one enables us to extract the
maximum spheroid with focal points at the center of the support of the initial
data and that of the observation points whose exterior encloses the unknown
obstacle of general shape. The second one, under some technical assumption for
the obstacle including convexity as an example, indicates the deviation of the
geometry of the boundary of the obstacle and the maximum spheroid at the
contact points. Several implications of those two formulae are also given. In
particular, a constructive proof of a uniqueness of a spherical obstacle using
the bistatic data is given.


title: Nef cone of flag bundles over a curve

abstract:
  Let $X$ be a smooth projective curve defined over an algebraically closed
field $k$, and let $E$ be a vector bundle on $X$. We compute the nef cone of
any flag bundle associated to $E$.


title: Numerical Investigation of Nonisothermal Reversed Stagnation-point Flow

abstract:
  This thesis investigates the nature of the development of two-dimensional
laminar nonisothermal flow of an incompressible fluid close to the reversed
stagnation-point. Proudman and Johnson (1962) \cite{proudman1962boundary} first
studied the flow and obtained an asymptotic solution by neglecting the viscous
terms. This is not practice in neglecting the viscous terms within the total
flow field. Viscous terms in this analysis are now included, and
two-dimensional nonisothermal reversed stagnation-point flow is investigated by
solving the Navier-Stokes equations coupled to energy equation.


title:
Low-damping epsilon-near-zero slabs: nonlinear and nonlocal optical
  properties

abstract:
  We investigate second harmonic generation, low-threshold multistability,
all-optical switching, and inherently nonlocal effects due to the free-electron
gas pressure in an epsilon-near-zero (ENZ) metamaterial slab made of
cylindrical, plasmonic nanoshells illuminated by TM-polarized light. Damping
compensation in the ENZ frequency region, achieved by using gain medium inside
the shells' dielectric cores, enhances the nonlinear properties. Reflection is
inhibited and the electric field component normal to the slab interface is
enhanced near the effective pseudo-Brewster angle, where the effective
\epsilon-near-zero condition triggers a non-resonant, impedance-matching
phenomenon. We show that the slab displays a strong effective, spatial
nonlocality associated with leaky modes that are mediated by the compensation
of damping. The presence of these leaky modes then induces further spectral and
angular conditions where the local fields are enhanced, thus opening new
windows of opportunity for the enhancement of nonlinear optical processes.


title: The Asymptotic Giant Branches of GCs: Selective Entry Only

abstract:
  The handful of available observations of AGB stars in Galactic Globular
Clusters suggest that the GC AGB populations are dominated by cyanogen-weak
stars. This contrasts strongly with the distributions in the RGB (and other)
populations, which generally show a 50:50 bimodality in CN band strength. If it
is true that the AGB populations show very different distributions then it
presents a serious problem for low mass stellar evolution theory, since such a
surface abundance change going from the RGB to AGB is not predicted by stellar
models. However this is only a tentative conclusion, since it is based on very
small AGB sample sizes. To test whether this problem really exists we have
carried out an observational campaign specifically targeting AGB stars in GCs.
We have obtained medium resolution spectra for about 250 AGB stars across 9
Galactic GCs using the multi-object spectrograph on the AAT (2df/AAOmega). We
present some of the preliminary findings of the study for the second parameter
trio of GCs: NGC 288, NGC 362 and NGC 1851. The results indeed show that there
is a deficiency of stars with strong CN bands on the AGB. To confirm that this
phenomenon is robust and not just confined to CN band strengths and their
vagaries, we have made observations using FLAMES/VLT to measure elemental
abundances for NGC 6752.We present some initial results from this study also.
Our sodium abundance results show conclusively that only a subset of stars in
GCs experience the AGB phase of evolution. This is the first direct, concrete
confirmation of the phenomenon.


title:
Study of the underlying event at forward rapidity in pp collisions at
  sqrt(s) = 0.9, 2.76, and 7 TeV

abstract:
  The underlying event activity in proton-proton collisions at forward
pseudorapidity (-6.6 < eta < -5.2) is studied with the CMS detector at the LHC,
using a novel observable: the ratio of the forward energy density, dE/d(eta),
for events with a charged-particle jet produced at central pseudorapidity
(abs(eta[jet]) < 2) to the forward energy density for inclusive events. This
forward energy density ratio is measured as a function of the central jet
transverse momentum, pt, at three different pp centre-of-mass energies (sqrt(s)
= 0.9, 2.76, and 7 TeV). In addition, the sqrt(s) evolution of the forward
energy density is studied in inclusive events and in events with a central jet.
The results are compared to those of Monte Carlo event generators for pp
collisions and are discussed in terms of the underlying event. Whereas the
dependence of the forward energy density ratio on jet pt at each sqrt(s)
separately can be well reproduced by some models, all models fail to
simultaneously describe the increase of the forward energy density with sqrt(s)
in both inclusive events and in events with a central jet.


title:
Signature Based Detection of User Events for Post-Mortem Forensic
  Analysis

abstract:
  This paper introduces a novel approach to user event reconstruction by
showing the practicality of generating and implementing signature-based
analysis methods to reconstruct high-level user actions from a collection of
low-level traces found during a post-mortem forensic analysis of a system.
Traditional forensic analysis and the inferences an investigator normally makes
when given digital evidence, are examined. It is then demonstrated that this
natural process of inferring high-level events from low-level traces may be
encoded using signature-matching techniques. Simple signatures using the
defined method are created and applied for three popular Windows-based programs
as a proof of concept.


title: Unbalanced low-density neutron matter

abstract:
  We consider polarized neutron matter at low densities. We have performed
Diffusion Monte Carlo simulations for normal neutron matter with different
population numbers for each species. We analyze the competition between
different phases in the grand canonical ensemble and mention aspects of
neutron-star phenomenology that are impacted by the effects described.


title: Cusp Kernels for Velocity-Changing Collisions

abstract:
  We introduce an analytical kernel, the "cusp" kernel, to model the effects of
velocity-changing collisions on optically pumped atoms in low-pressure buffer
gases. Like the widely used Keilson-Storer kernel [J. Keilson and J. E. Storer,
Q. Appl. Math. 10, 243 (1952)], cusp kernels are characterized by a single
parameter and preserve a Maxwellian velocity distribution. Cusp kernels and
their superpositions are more useful than Keilson-Storer kernels, because they
are more similar to real kernels inferred from measurements or theory and are
easier to invert to find steady-state velocity distributions.


title: Starlikeness and convexity of polyharmonic mappings

abstract:
  In this paper, we first find an estimate for the range of polyharmonic
mappings in the class $HC_{p}^{0}$. Then, we obtain two characterizations in
terms of the convolution for polyharmonic mappings to be starlike of order
$\alpha$, and convex of order $\beta$, respectively. Finally, we study the
radii of starlikeness and convexity for polyharmonic mappings, under certain
coefficient conditions.


title: Spectral Theory for $p$-adic Operators

abstract:
  We establish an algorithm for a criterion of the diagonalisability of a
matrix over a local field by a unitary matrix. For this sake, we define the
notion of normality of a $p$-adic operator, and give several criteria for the
normality. We study the relation between the normality and the reduction. In
the finite dimensional case, the normality of an operator is equivalent to the
diagonalisability of a matrix by a unitary matrix. Therefore we also study the
relation between the diagonalisability and the reduction. For example, we show
that the diagonalisation of the reduction gives a partition of unity
corresponding to the reduction of the spectrum, which gives a functorial lift
of the eigenspace decomposition of the reduction.


title:
Pathwise solutions and attractors for retarded SPDEs with time smooth
  diffusion coefficients

abstract:
  In this paper we study the longtime dynamics of mild solutions to retarded
stochastic evolution systems driven by a Hilbert-valued Brownian motion. As a
preparation for this purpose we have to show the existence and uniqueness of a
cocycle solution of such an equation. We do not assume that the noise is given
in additive form or that it is a very simple multiplicative noise. However, we
need some smoothing property for the coefficient in front of the noise. The
main idea of this paper consists of expressing the stochastic integral in terms
of non-stochastic integrals and the noisy path by using an integration by
parts. This latter term causes that in a first moment only a local mild
solution can be obtained, since in order to apply the Banach fixed point
theorem it is crucial to have the H\"older norm of the noisy path to be
sufficiently small. Later, by using appropriate stopping times, we shall derive
the existence and uniqueness of a global mild solution. Furthermore, the
asymptotic behavior is investigated by using the {\it Random Dynamical Systems
theory}. In particular, we shall show that the global mild solution generates a
random dynamical system that, under an appropriate smallness condition for the
time lag, have associated a random attractor.


title: Combining Probes of Large-Scale Structure with CosmoLike

abstract:
  Developing accurate analysis techniques to combine various probes of
cosmology is essential to tighten constraints on cosmological parameters and to
check for inconsistencies in our model of the Universe. In this paper we
develop a joint analysis framework for six different second-order statistics
calculated from three tracers of the dark matter density field, namely galaxy
position, shear, and magnification. We extend a data compression scheme
developed in the context of shear-shear statistics (the so-called COSEBIs) to
the other five second-order statistics, thereby significantly reducing the
number of data points in the joint data vector. We use CosmoLike, a newly
developed software framework for joint likelihood analyses, to forecast
parameter constraints for the Dark Energy Survey (DES). The simulated MCMCs
cover a five dimensional cosmological parameter space comparing the information
content of the individual probes to several combined probes (CP) data vectors.
Given the significant correlations of these second-order statistics we model
all cross terms in the covariance matrix; furthermore we go beyond the Gaussian
covariance approximation and use the halo model to include higher order
correlations of the density field. We find that adding magnification
information (including cross probes with shear and clustering) noticeably
increases the information content and that the correct modeling of the
covariance (i.e., accounting for non-Gaussianity and cross terms) is essential
for accurate likelihood contours from the CP data vector. We also identify
several nulltests based on the degeneracy of magnification and shear statistics
which can be used to quantify the contamination of data sets by astrophysical
systematics and/or calibration issues.


title:
Note on the Grothendieck group of subspaces of rational functions and
  Shokurov's b-divisors

abstract:
  In a previous paper the authors develop an intersection theory for subspaces
of rational functions on an algebraic variety X over complex numbers. In this
note, we first extend this intersection theory to an arbitrary algebraically
closed ground field. Secondly we give an isomorphism between the group of
b-divisors on the birational class of X and the Grothendieck group of the
semigroup of subspaces of rational functions on X. The constructed isomorphism
moreover preserves the intersection numbers. This provides an alternative
approach to b-divisors and their intersection theory.


title: Reflection and transmission resonances and accuracy of the wkb method

abstract:
  In this paper, we calculate the transmission and reflection amplitudes of
wave functions for different potentials such as the delta function, the
rectangular barrier, the Eckart potential, and the Hulthen potential. We
describe the relationship between these amplitudes and compute the reflection
resonances between each potential. We describe the transmission and reflection
probabilities using the WKB formula and compare the results with ones obtained
from matching the boundary conditions. Furthermore, we use a two by two
transfer matrix to calculate a rigorous bound on the transmission and
reflection probabilities.


title:
Bragg spectroscopy of clean and disordered lattice bosons in one
  dimension: a spectral fingerprint of the Bose glass

abstract:
  We study the dynamic structure factor of a one-dimensional Bose gas confined
in an optical lattice and modeled by the Bose-Hubbard Hamiltonian, using a
variety of numerical and analytical approaches. The dynamic structure factor,
experimentally measurable by Bragg spectroscopy, is studied in three relevant
cases: in the clean regime, featuring either a superfluid or a Mott phase; and
in the presence of two types of (quasi-)disordered external potentials: a
quasi-periodic potential obtained from a bichromatic superlattice and a
random-box disorder - both featuring a Bose glass phase. In the clean case, we
show the emergence of a gapped doublon mode (corresponding to a repulsively
bound state) for incommensurate filling, well separated from the low-energy
acoustic mode. In the disordered case, we show that the dynamic structure
factor provides a direct insight into the spatial structure of the excitations,
unveiling their localized nature, which represents a fundamental signature of
the Bose glass phase. Furthermore, it provides a clear fingerprint of the very
nature of the localization mechanism which differs for the two kinds of
disorder potentials we consider. In special cases, the dynamic structure factor
may provide an estimate of the position of the localization transition from
superfluid to Bose glass, in a complementary manner to the information deduced
from the momentum distribution.


title: Acyclic edge coloring of graphs

abstract:
  An {\em acyclic edge coloring} of a graph $G$ is a proper edge coloring such
that the subgraph induced by any two color classes is a linear forest (an
acyclic graph with maximum degree at most two). The {\em acyclic chromatic
index} $\chiup_{a}'(G)$ of a graph $G$ is the least number of colors needed in
an acyclic edge coloring of $G$. Fiam\v{c}\'{i}k (1978) conjectured that
$\chiup_{a}'(G) \leq \Delta(G) + 2$, where $\Delta(G)$ is the maximum degree of
$G$. This conjecture is well known as Acyclic Edge Coloring Conjecture (AECC).
A graph $G$ with maximum degree at most $\kappa$ is {\em
$\kappa$-deletion-minimal} if $\chiup_{a}'(G) > \kappa$ and $\chiup_{a}'(H)
\leq \kappa$ for every proper subgraph $H$ of $G$. The purpose of this paper is
to provide many structural lemmas on $\kappa$-deletion-minimal graphs. By using
the structural lemmas, we firstly prove that AECC is true for the graphs with
maximum average degree less than four (\autoref{NMAD4}). We secondly prove that
AECC is true for the planar graphs without triangles adjacent to cycles of
length at most four, with an additional condition that every $5$-cycle has at
most three edges contained in triangles (\autoref{NoAdjacent}), from which we
can conclude some known results as corollaries. We thirdly prove that every
planar graph $G$ without intersecting triangles satisfies $\chiup_{a}'(G) \leq
\Delta(G) + 3$ (\autoref{NoIntersect}). Finally, we consider one extreme case
and prove it: if $G$ is a graph with $\Delta(G) \geq 3$ and all the
$3^{+}$-vertices are independent, then $\chiup_{a}'(G) = \Delta(G)$. We hope
the structural lemmas will shed some light on the acyclic edge coloring
problems.


title: Proper holomorphic maps between bounded symmetric domains revisited

abstract:
  We prove that a proper holomorphic map between two bounded symmetric domains
of the same dimension, one of them being irreducible, is a biholomorphism. Our
methods allow us to give a single, all-encompassing argument that unifies the
various special cases in which this result is known. We discuss an application
of these methods to domains having noncompact automorphism groups that are not
assumed to act transitively.


title:
Comparative Molecular Mechanics and Quantum Mechanics Study of
  Microhydration of Nucleic Acid Bases

abstract:
  DNA is the most important biological molecule, and its hydration contributes
essentially to the structure and functions of the double helix. We analyze the
microhydration of the individual bases of nucleic acids and their methyl
derivatives using methods of molecular mechanics (MM) with the Poltev-Malenkov
(PM), AMBER and OPLS force fields, as well as ab initio Quantum Mechanics (QM)
calculations at MP2/6-31G(d,p) level of theory. A comparison is made between
the calculated interaction energies and the experimental enthalpies of
microhydration of bases, obtained from mass spectrometry at low temperatures.
Each local water-base interaction energy minimum obtained with MM corresponds
to the minimum obtained with QM. General qualitative agreement was observed in
the geometrical characteristics of the local minima obtained via the two groups
of methods. MM minima correspond to slightly more coplanar structures than
those obtained via QM methods, and the absolute MM energy values overestimate
corresponding values obtained with QM. For Adenine and Thymine the QM local
minima energy values are closer to those obtained by the PM potential (average
of 0.72 kcal/mol) than by the AMBER force field (1.86 kcal/mol). The
differences in energy between MM and QM results are more pronounced for Guanine
and Cytosine, especially for minima with the water molecule forming H-bonds
with two proton-acceptor centers of the base. Such minima are the deepest ones
obtained via MM methods while QM calculations result in the global minima
corresponding to water molecule H-bonded to one acceptor and one donor site of
the base. Calculations for trimethylated bases with a water molecule
corroborate the MM results. The energy profiles were obtained with some degrees
of freedom of the water molecule being frozen. This data will contribute to the
improvement of the molecular mechanics force fields.


title:
Minimal Markov basis for tests of main effect models for $2^{p-1}$
  fractional factorial designs of resolution $p$

abstract:
  We consider conditional exact tests of factor effects in designed experiments
for discrete response variables. Similarly to the analysis of contingency
tables, Markov chain Monte Carlo methods can be used for performing exact
tests, especially when large-sample approximations of the null distributions
are poor and the enumeration of the conditional sample space is infeasible. To
construct a connected Markov chain over the appropriate sample space, a common
approach is to compute a Markov basis. Theoretically, a Markov basis can be
characterized as a generator of a well-specified toric ideal in a polynomial
ring and is computed by computational algebraic softwares. However, the
computation of a Markov basis sometimes becomes infeasible even for problems of
moderate sizes. In this paper, we obtain the closed form expression of minimal
Markov bases for the main effect models of $2^{p-1}$ fractional factorial
designs of resolution $p$.


title:
The Experimental Status of $\theta_{13}$ from the Point of View of the
  Electron (Anti-) Neutrino Disappearance Experiments

abstract:
  A non zero, surprisingly large value of the third mixing angle $\theta_{13}$
has been measured in reactor neutrino experiments. Currently the most precise
measurement of $\sin^2 2\theta_{13}$ has been performed by the Daya Bay
experiment $\sin^22\theta_{13}=0.089\pm 0.010({\rm stat.})\pm0.005({\rm
syst.})$ (7.7 $\sigma$ significance of $\sin^22\theta_{13} > 0$),the RENO
experiment has measured the value $\sin^2 2\theta_{13} = 0.113 \pm 0.013(\rm
stat.) \pm 0.019(\rm syst.)$ (4.9 $\sigma$ significance) and the Double Chooz
experiment $\sin^2 2\theta_{13} = 0.109 \pm 0.030(\rm stat.) \pm 0.025(\rm
syst.)$ (2.9 $\sigma$ significance). These results are extremely important for
future searches of violation of combined CP parity in lepton sector of the
Standard model.


title:
High- and low-frequency phonon modes in dipolar quantum gases trapped in
  deep lattices

abstract:
  We study normal modes propagating on top of the stable uniform background in
arrays of dipolar Bose-Einstein condensate (BEC) droplets trapped in a deep
optical lattice. Both the on-site mean-field dynamics of the droplets and their
displacement due to the repulsive dipole-dipole interactions (DDIs) are taken
into account. Dispersion relations for two modes, \textit{viz}., high- and low-
frequency counterparts of optical and acoustic phonon modes in condensed
matter, are derived analytically and verified by direct simulations, for both
cases of the repulsive and attractive contact interactions. The (counterpart of
the) optical-phonon branch does not exist without the DDIs. These results are
relevant in the connection to emerging experimental techniques enabling
real-time imaging of the condensate dynamics and direct experimental
measurement of phonon dispersion relations in BECs.


title: Simple shear is not so simple

abstract:
  For homogeneous, isotropic, nonlinearly elastic materials, the form of the
homogeneous deformation consistent with the application of a Cauchy shear
stress is derived here for both compressible and incompressible materials. It
is shown that this deformation is not simple shear, in contrast to the
situation in linear elasticity. Instead, it consists of a triaxial stretch
superposed on a classical simple shear deformation, for which the amount of
shear cannot be greater than 1. In other words, the faces of a cubic block
cannot be slanted by an angle greater than 45deg by the application of a pure
shear stress alone. The results are illustrated for those materials for which
the strain energy function does not depend on the principal second invariant of
strain. For the case of a block deformed into a parallelepiped, the tractions
on the inclined faces necessary to maintain the derived deformation are
calculated.


title: Modification of the Bel-Robinson type energy-momentum

abstract:
  For describing the non-negative gravitational energy-momentum in terms of a
pure Bel-Robinson type energy-momentum in a quasilocal 2-surface, both the
Bel-Robinson tensor $B$ and tensor $V$ are suitable. We found that this
Bel-Robinson type energy-momentum can be modified such that it satisfies the
Lorentz covariant, future pointing and non-spacelike properties. We find that
these particular energy-momentum properties can be obtained from (i): $B$ or
$V$ plus a tensor $S$ in a quasilocal small cube limit, or (ii): directly
evaluating the energy-momentum of $B$ or $V$ in a quasilocal small box region.


title:
Generalized Potentials for a Mean-field Density Functional Theory of a
  Three-Phase Contact Line

abstract:
  We investigate generalized potentials for a mean-field density functional
theory of a three-phase contact line. Compared to the symmetrical potential
introduced in our previous article [1], the three minima of these potentials
form a small triangle located arbitrarily within the Gibbs triangle, which is
more realistic for ternary fluid systems. We multiply linear functions that
vanish at edges and vertices of the small triangle, yielding potentials in the
form of quartic polynomials. We find that a subset of such potentials has
simple analytic far-field solutions, and is a linear transformation of our
original potential. By scaling, we can relate their solutions to those of our
original potential. For special cases, the lengths of the sides of the small
triangle are proportional to the corresponding interfacial tensions. For the
case of equal interfacial tensions, we calculate a line tension that is
proportional to the area of the small triangle.


title: Coherent Raman spectro-imaging with laser frequency combs

abstract:
  Optical spectroscopy and imaging of microscopic samples have opened up a wide
range of applications throughout the physical, chemical, and biological
sciences. High chemical specificity may be achieved by directly interrogating
the fundamental or low-lying vibrational energy levels of the compound
molecules. Amongst the available prevailing label-free techniques, coherent
Raman scattering has the distinguishing features of high spatial resolution
down to 200 nm and three-dimensional sectioning. However, combining fast
imaging speed and identification of multiple - and possibly unexpected-
compounds remains challenging: existing high spectral resolution schemes
require long measurement times to achieve broad spectral spans. Here we
overcome this difficulty and introduce a novel concept of coherent anti-Stokes
Raman scattering (CARS) spectro-imaging with two laser frequency combs. We
illustrate the power of our technique with high resolution (4 cm-1) Raman
spectra spanning more than 1200 cm-1 recorded within less than 15 microseconds.
Furthermore, hyperspectral images combining high spectral (10 cm-1) and spatial
(2 micrometers) resolutions are acquired at a rate of 50 pixels per second.
Real-time multiplex accessing of hyperspectral images may dramatically expand
the range of applications of nonlinear microscopy.


title: Benson type algorithms for linear vector optimization and applications

abstract:
  New versions and extensions of Benson's outer approximation algorithm for
solving linear vector optimization problems are presented. Primal and dual
variants are provided in which only one scalar linear program has to be solved
in each iteration rather than two or three as in previous versions. Extensions
are given to problems with arbitrary pointed solid polyhedral ordering cones.
Numerical examples are provided, one of them involving a new set-valued risk
measure for multivariate positions.


title: Coupled valence and spin state transition in (Pr0.7Sm0.3)0.7Ca0.3CoO3

abstract:
  The coupled valence and spin state transition (VSST) taking place in
(Pr0.7Sm0.3)0.7Ca0.3CoO3 was investigated by soft x-ray absorption spectroscopy
(XAS) experiments carried out at the Pr-M4,5, Co-L2,3, and O-1s edges. This
VSST is found to be composed of a sharp Pr/Co valence and Co spin state
transition centered at T*=89.3 K, followed by a smoother Co spin-state
evolution at higher temperatures. At T < T*, we found that the praseodymium
displays a mixed valence Pr3+/Pr4+ with about 0.13 Pr4+/f.u., while all the
Co3+ is in the low-spin (LS) state. At T around T*, the sharp valence
transition converts all the Pr4+ to Pr3+ with a corresponding Co3+ to Co4+
compensation. This is accompanied by an equally sharp spin state transition of
the Co3+ from the low to an incoherent mixture of low and high spin (HS)
states. An involvement of the intermediate spin (IS) state can be discarded for
the Co3+. While above T* and at high temperatures the system shares rather
similar properties as Sr-doped LaCoO3, at low temperatures it behaves much more
like EuCoO3 with its highly stable LS configuration for the Co3+. Apparently,
the mechanism responsible for the formation of Pr4+ at low temperatures also
helps to stabilize the Co3+ in the LS configuration despite the presence of
Co4+ ions. We also found out that that the Co4+ is in an IS state over the
entire temperature range investigated in this study (10-290 K). The presence of
Co3+ HS and Co4+ IS at elevated temperatures facilitates the conductivity of
the material.


title: Schatten classes of integration operators on Dirichlet spaces

abstract:
  We address the question of describing the membership to Schatten-Von Neumann
ideals $\mathcal{S}_ p$ of integration operators $(T_ g
f)(z)=\int_{0}^{z}f(\zeta)\,g'(\zeta)\,d\zeta$ acting on Dirichlet type spaces.
We also study this problem for multiplication, Hankel and Toeplitz operators.
In particular, we provide an extension of Luecking's result on Toeplitz
operators.


title:
Effective Mean Field Approach to Kinetic Monte Carlo Simulations in
  Limit Cycle Dynamics with Reactive and Diffusive Rewiring

abstract:
  The dynamics of complex reactive schemes is known to deviate from the Mean
Field (MF) theory when restricted on low dimensional spatial supports. This
failure has been attributed to the limited number of species-neighbours which
are available for interactions. In the current study, we introduce effective
reactive parameters, which depend on the type of the spatial support and which
allow for an effective MF description. As working example the Lattice Limit
Cycle dynamics is used, restricted on a 2D square lattice with nearest
neighbour interactions. We show that the MF steady state results are recovered
when the kinetic rates are replaced with their effective values. The same
conclusion holds when reactive stochastic rewiring is introduced in the system
via long distance reactive coupling. Instead, when the stochastic coupling
becomes diffusive the effective parameters no longer predict the steady state.
This is attributed to the diffusion process which is an additional factor
introduced into the dynamics and is not accounted for, in the kinetic MF
scheme.


title: "`Painleve 34"' equation: equivalence test

abstract: Completely solved the equivalence problem for the "`Painleve 34"' equation.


title: Compressed Sensing with Incremental Sparse Measurements

abstract:
  This paper proposes a verification-based decoding approach for reconstruction
of a sparse signal with incremental sparse measurements. In its first step, the
verification-based decoding algorithm is employed to reconstruct the signal
with a fixed number of sparse measurements. Often, it may fail as the number of
sparse measurements may be not enough, possibly due to an underestimate of the
signal sparsity. However, we observe that even if this first recovery fails,
many component samples of the sparse signal have been identified. Hence, it is
natural to further employ incremental measurements tuned to the unidentified
samples with known locations. This approach has been proven very efficiently by
extensive simulations.


title: Measures and functions with prescribed homogeneous multifractal spectrum

abstract:
  In this paper we construct measures supported in $[0,1]$ with prescribed
multifractal spectrum. Moreover, these measures are homogeneously multifractal
(HM, for short), in the sense that their restriction on any subinterval of
$[0,1]$ has the same multifractal spectrum as the whole measure. The spectra
$f$ that we are able to prescribe are suprema of a countable set of step
functions supported by subintervals of $[0,1]$ and satisfy $f(h)\leq h$ for all
$h\in [0,1]$. We also find a surprising constraint on the multifractal spectrum
of a HM measure: the support of its spectrum within $[0,1]$ must be an
interval. This result is a sort of Darboux theorem for multifractal spectra of
measures. This result is optimal, since we construct a HM measure with spectrum
supported by $[0,1] \cup {2}$. Using wavelet theory, we also build HM functions
with prescribed multifractal spectrum.


title: Operator theoretic differences between Hardy and Dirichlet-type spaces

abstract:
  For $0<p<\infty $, the Dirichlet-type space $\Dp$ consists of those analytic
functions $f$ in the unit disc $\D$ such that $\int_\D|f'(z)|\sp
p(1-|z|)^{p-1}\,dA(z)<\infty$. Motivated by operator theoretic differences
between the Hardy space $H^p$ and $\Dp$, the integral operator {displaymath}
T_g(f)(z)=\int_{0}^{z}f(\zeta)\,g'(\zeta)\,d\zeta,\quad z\in\D, {displaymath}
acting from one of these spaces to another is studied. In particular, it is
shown, on one hand, that $T_g:\Dp\to H^p$ is bounded if and only if $g\in\BMOA$
when $0<p\le 2$, and, on the other hand, that this equivalence is very far from
being true if $p>2$. Those symbols $g$ such that $T_g:\Dp\to H^q$ is bounded
(or compact) when $p<q$ are also characterized. Moreover, the best known
sufficient $L^\infty$-type condition for a positive Borel measure $\mu$ on $\D$
to be a $p$-Carleson measures for $\Dp$, $p>2$, is significantly relaxed, and
the established result is shown to be sharp in a very strong sense.


title:
A new approach to the epsilon expansion of generalized hypergeometric
  functions

abstract:
  Assumed that the parameters of a generalized hypergeometric function depend
linearly on a small variable $\varepsilon$, the successive derivatives of the
function with respect to that small variable are evaluated at $\varepsilon=0$
to obtain the coefficients of the $\varepsilon$-expansion of the function. The
procedure, quite naive, benefits from simple explicit expressions of the
derivatives, to any order, of the Pochhammer and reciprocal Pochhammer symbols
with respect to their argument. The algorithm may be used algebraically,
irrespective of the values of the parameters. It reproduces the exact results
obtained by other authors in cases of especially simple parameters. Implemented
numerically, the procedure improves considerably the numerical expansions given
by other methods.


title: A local interstellar spectrum for galactic electrons

abstract:
  A heliopause spectrum at 122 AU from the Sun is presented for galactic
electrons over an energy range from 1 MeV to 50 GeV that can be considered the
lowest possible local interstellar spectrum (LIS). The focus is on the spectral
shape of the LIS below 1.0 GeV. The study is done by using a comprehensive
numerical model for solar modulation in comparison with Voyager 1 observations
at 110 AU from the Sun and PAMELA data at Earth. Below 1.0 GeV, this LIS
exhibits a power law,E to the power -(1.55+-0.05), where E is the kinetic
energy. However, reproducing the PAMELA electron spectrum averaged for 2009,
requires a LIS with a different power law of the form E to the power
-(3.15+-0.05) above about 5 GeV. Combining the two power laws with a smooth
transition from low to high energies yields a LIS over the full energy range
that is relevant and applicable to the modulation of cosmic ray electrons in
the heliosphere. The break occurs between 800 MeV and 2 GeV as a characteristic
feature of this LIS.


title: Determination of alpha_s from tau decays

abstract:
  Hadronic tau decays offer the possibility of determining the strong coupling
alpha_s at relatively low energy. Precisely for this reason, however, good
control over the perturbative QCD corrections, the non-perturbative condensate
contributions in the framework of the operator product expansion (OPE), as well
as the corrections going beyond the OPE, the duality violations (DVs), is
required. On the perturbative QCD side, the contour-improved versus fixed-order
resummation of the series is still an issue, and will be discussed. Regarding
the analysis, self-consistent fits to the data including all theory parameters
have to be performed, and this is also explained in some detail. The fit
quantities are moment integrals of the tau spectral function data in a certain
energy window and care should be taken to have acceptable perturbative
behaviour of those moments as well as control over higher-dimensional operator
corrections in the OPE.


title:
Coloring Hypergraphs Induced by Dynamic Point Sets and Bottomless
  Rectangles

abstract:
  We consider a coloring problem on dynamic, one-dimensional point sets: points
appearing and disappearing on a line at given times. We wish to color them with
k colors so that at any time, any sequence of p(k) consecutive points, for some
function p, contains at least one point of each color.
  We prove that no such function p(k) exists in general. However, in the
restricted case in which points appear gradually, but never disappear, we give
a coloring algorithm guaranteeing the property at any time with p(k)=3k-2. This
can be interpreted as coloring point sets in R^2 with k colors such that any
bottomless rectangle containing at least 3k-2 points contains at least one
point of each color. Here a bottomless rectangle is an axis-aligned rectangle
whose bottom edge is below the lowest point of the set. For this problem, we
also prove a lower bound p(k)>ck, where c>1.67. Hence for every k there exists
a point set, every k-coloring of which is such that there exists a bottomless
rectangle containing ck points and missing at least one of the k colors.
  Chen et al. (2009) proved that no such function $p(k)$ exists in the case of
general axis-aligned rectangles. Our result also complements recent results
from Keszegh and Palvolgyi on cover-decomposability of octants (2011, 2012).


title: Turbo DPSK in Bi-directional Relaying

abstract:
  In this paper, iterative differential phase-shift keying (DPSK) demodulation
and channel decoding scheme is investigated for the Joint Channel decoding and
physical layer Network Coding (JCNC) approach in two-way relaying systems. The
Bahl, Cocke, Jelinek, and Raviv (BCJR) algorithm for both coherent and
noncoherent detection is derived for soft-in soft-out decoding of DPSK
signalling over the two-user multiple-access channel with Rayleigh fading.
Then, we propose a pragmatic approach with the JCNC scheme for iteratively
exploiting the extrinsic information of the outer code. With coherent
detection, we show that DPSK can be well concatenated with simple convolutional
codes to achieve excellent coding gain just like in traditional point-to-point
communication scenarios. The proposed noncoherent detection, which essentially
requires that the channel keeps constant over two consecutive symbols, can work
without explicit channel estimation. Simulation results show that the iterative
processing converges very fast and most of the coding gain is obtained within
two iterations.


title:
Hydrodynamics and transport coefficients in an infrared-deformed
  soft-wall AdS/QCD model at finite temperature

abstract:
  We extend an infrared-deformed soft-wall anti de-Sitter/QCD model at zero
temperature to a model at finite temperature and perform hydrodynamics. To have
the infalling boundary condition to make the hydrodynamic analysis possible, we
treat the infrared energy scale factor in our metric as a temperature-depending
parameter. Then, by carrying out the hydrodynamic analysis, we compute the
transport coefficients, the diffusion constant, and the shear viscosity,
through the linear response theory.


title: Bayesian Classification of Astronomical Objects -- and what is behind it

abstract:
  We present a Bayesian method for the identification and classification of
objects from sets of astronomical catalogs, given a predefined classification
scheme. Identification refers here to the association of entries in different
catalogs to a single object, and classification refers to the matching of the
associated data set to a model selected from a set of parametrized models of
different complexity. By the virtue of Bayes' theorem, we can combine both
tasks in an efficient way, which allows a largely automated and still reliable
way to generate classified astronomical catalogs. A problem to the Bayesian
approach is hereby the handling of exceptions, for which no likelihoods can be
specified. We present and discuss a simple and practical solution to this
problem, emphasizing the role of the "evidence" term in Bayes' theorem for the
identification of exceptions. Comparing the practice and logic of Bayesian
classification to Bayesian inference, we finally note some interesting links to
concepts of the philosophy of science.

categories: astro-ph.IM physics.data-an physics.hist-ph stat.ME


title: On Computing the Maximum Parsimony Score of a Phylogenetic Network

abstract:
  Phylogenetic networks are used to display the relationship of different
species whose evolution is not treelike, which is the case, for instance, in
the presence of hybridization events or horizontal gene transfers. Tree
inference methods such as Maximum Parsimony need to be modified in order to be
applicable to networks. In this paper, we discuss two different definitions of
Maximum Parsimony on networks, "hardwired" and "softwired", and examine the
complexity of computing them given a network topology and a character. By
exploiting a link with the problem Multicut, we show that computing the
hardwired parsimony score for 2-state characters is polynomial-time solvable,
while for characters with more states this problem becomes NP-hard but is still
approximable and fixed parameter tractable in the parsimony score. On the other
hand we show that, for the softwired definition, obtaining even weak
approximation guarantees is already difficult for binary characters and
restricted network topologies, and fixed-parameter tractable algorithms in the
parsimony score are unlikely. On the positive side we show that computing the
softwired parsimony score is fixed-parameter tractable in the level of the
network, a natural parameter describing how tangled reticulate activity is in
the network. Finally, we show that both the hardwired and softwired parsimony
score can be computed efficiently using Integer Linear Programming. The
software has been made freely available.


title: Pion as a Longitudinal Axial-Vector Meson $q\bar{q}$ Bound State

abstract:
  The success of the Adler-Bell-Jackiw(ABJ) chiral anomaly prediction for
$\pi^{0}\to \gamma\gamma$ decay rate shows that non-anomaly terms would make a
negligible contribution to the decay rate, in agreement with the
Sutherland-Veltman theorem. Thus the conventional $q\bar{q}$ bound-state
description of the pion could not be valid since it would produce a $\pi^{0}\to
\gamma\gamma$ decay amplitude not suppressed in the soft pion limit, in
contradiction with the Sutherland-Veltman theorem. Therefore, if the pion is to
be treated as a $q\bar{q}$ bound state, this bound state would be a
longitudinal axial-vector meson. In this paper, we consider the pion to be a
longitudinal axial-vector meson $q\bar{q}$ bound state with derivative coupling
for the pion $q\bar{q}$ Bethe-Salpeter(BS) wave function. We shall show that
this BS wave function could produce a suppressed $\pi^{0}\to \gamma\gamma$
decay amplitude in the soft pion limit, in agreement with the
Sutherland-Veltman theorem. This explains the almost perfect agreement of the
anomaly prediction with experiment and the suppression of the virtual
one-photon exchange contribution in $\eta\to 3\pi$ decay. The Goldstone boson
equivalence theorem used for longitudinal gauge bosons scattering in the
electroweak standard model then identifies the longitudinal axial-vector meson
$q\bar{q}$ bound state with the pion.


title:
High-temperature measurements of VUV-absorption cross sections of CO2
  and their application to exoplanets

abstract:
  UV absorption cross sections are an essential ingredient of photochemical
atmosphere models. Exoplanet searches have unveiled a large population of
short-period objects with hot atmospheres, very different from what we find in
our solar system. Transiting exoplanets whose atmospheres can now be studied by
transit spectroscopy receive extremely strong UV fluxes and have typical
temperatures ranging from 400 to 2500 K. At these temperatures, UV photolysis
cross section data are severely lacking. Aims. Our goal is to provide
high-temperature absorption cross sections and their temperature dependency for
important atmospheric compounds. This study is dedicated to CO2, which is
observed and photodissociated in exoplanet atmospheres. We also investigate the
influence of these new data on the photochemistry of some exoplanets. We
performed these measurements for the 115 - 200 nm range at 300, 410, 480, and
550 K. In the 195 - 230 nm range, we worked at seven temperatures between 465
and 800 K. We implemented the measured cross section into a 1D photochemical
model. For wavelengths > 170 nm, the wavelength dependence of
ln(cross-section_CO2(wavelength, T)x1/Qv(T)) can be parametrized with a linear
law. Thus, we can interpolate cross-section_CO2(wavelength, T) at any
temperature between 300 and 800 K. Within the studied range of temperature, the
CO2 cross section can vary by more than two orders of magnitude. This, in
particular, makes the absorption of CO2 significant up to wavelengths as high
as 230 nm. The absorption cross section of CO2 is very sensitive to
temperature. The model predicts that accounting for this temperature dependency
of CO2 cross section can affect the computed abundances of NH3, CO2, and CO by
one order of magnitude in the atmospheres of hot Jupiter and hot Neptune. This
effect will be more important in hot CO2-dominated atmospheres.


title: On measures resisting multifractal analysis

abstract:
  Any ergodic measure of a smooth map on a compact manifold has a multifractal
spectrum with one point - the dimension of the measure itself - at the
diagonal. We will construct examples where this fails in the most drastic way
for invariant measures invariant under linear maps of the circle.


title:
Pairs of diagonal quadratic forms and linear correlations among sums of
  two squares

abstract:
  For suitable pairs of diagonal quadratic forms in 8 variables we use the
circle method to investigate the density of simultaneous integer solutions and
relate this to the problem of estimating linear correlations among sums of two
squares.


title: Comparison for upper tail probabilities of random series

abstract:
  Let $\{\xi_n\}$ be a sequence of independent and identically distributed
random variables. In this paper we study the comparison for two upper tail
probabilities $\mathbb{P}\{\sum_{n=1}^{\infty}a_n|\xi_n|^p\geq r\}$ and
$\mathbb{P}\{\sum_{n=1}^{\infty}b_n|\xi_n|^p\geq r\}$ as $r\rightarrow\infty$
with two different real series $\{a_n\}$ and $\{b_n\}.$ The first result is for
Gaussian random variables $\{\xi_n\},$ and in this case these two probabilities
are equivalent after suitable scaling. The second result is for more general
random variables, thus a weaker form of equivalence (namely, logarithmic level)
is proved.


title:
Extracting useful rules through improved decision tree induction using
  information entropy

abstract:
  Classification is widely used technique in the data mining domain, where
scalability and efficiency are the immediate problems in classification
algorithms for large databases. We suggest improvements to the existing C4.5
decision tree algorithm. In this paper attribute oriented induction (AOI) and
relevance analysis are incorporated with concept hierarchys knowledge and
HeightBalancePriority algorithm for construction of decision tree along with
Multi level mining. The assignment of priorities to attributes is done by
evaluating information entropy, at different levels of abstraction for building
decision tree using HeightBalancePriority algorithm. Modified DMQL queries are
used to understand and explore the shortcomings of the decision trees generated
by C4.5 classifier for education dataset and the results are compared with the
proposed approach.


title: Un scindage du morphisme de Frobenius quantique

abstract:
  We show that the quantum Frobenius morphism constructed by Lusztig in the
setting of the quantum enveloping algebra specialized at a root of unity admits
a multiplicative splitting (non unital). We also find a basis of the toral part
of the small quantum algebra consisting of pairwise orthogonal idempotents
summing up to 1, and likewise in the modular case of the algebra of
distributions for a semisimple algebraic group.


title:
Improved quantum correlations in second harmonic generation with a
  squeezed pump

abstract:
  We investigate the effects of a squeezed pump on the quantum properties and
conversion efficiency of the light produced in single-pass second harmonic
generation. Using stochastic integration of the two-mode equations of motion in
the positive-P representation, we find that larger violations of
continuous-variable harmonic entanglement criteria are available for lesser
effective interaction strengths than with a coherent pump. This enhancement of
the quantum properties also applies to violations of the Reid-Drummond
inequalities used to demonstrate a harmonic version of the
Einstein-Podolsky-Rosen paradox. We find that the conversion efficiency is
largely unchanged except for very low pump intensities and high levels of
squeezing.


title:
A Finite Element Implementation of a Ductile Damage Model for Small
  Strains

abstract:
  Lemaitre's ductile damage model and a simplified variant excluding kinematic
hardening were studied and implemented into computer code. For purposes of
verifying the model, results from computations with the finite element method
are compared to literature. It is found that the behavior expected from theory
is modeled by both implementations. Quadratic levels of convergence were
observed for the simplified model, while results show that convergence of the
kinematic hardening implementation deteriorates with damage. It is concluded
that further examination is needed to verify the correct implementation of the
kinematic hardening model.


title: Universality of 2d causal dynamical triangulations

abstract:
  The formalism of Causal Dynamical Triangulations (CDT) attempts to provide a
non-perturbative regularization of quantum gravity, viewed as an ordinary
quantum field theory. In two dimensions one can solve the lattice theory
analytically and the continuum limit is universal, not depending on the details
of the lattice regularization.


title:
Facets of the $m$-generalized cluster complex and regions in the
  $m$-extended Catalan arrangement of type $A_n$

abstract:
  In this paper we present a bijection $\omega_n$ between two well known
families of Catalan objects: the set of facets of the $m$-generalized cluster
complex $\Delta^m(A_n)$ and the set of dominant regions in the $m$-Catalan
arrangement ${\rm Cat}^m(A_n)$, where $m\in\mathbb{N}_{>0}$. In particular,
$\omega_n$ bijects the facets containing the negative simple root $-\alpha$ to
dominant regions having the hyperplane $\{v\in V\mid<v,\alpha >=m\}$ as
separating wall. As a result, $\omega_n$ restricts to a bijection between the
set of facets of the positive part of $\Delta^m(A_n)$ and the set of bounded
dominant regions in ${\rm Cat}^m(A_n)$. The map $\omega_n$ is a composition of
two bijections in which integer partitions in an $m$-staircase shape come into
play.


title: Godement resolutions and sheaf homotopy theory

abstract:
  The Godement cosimplicial resolution is available for a wide range of
categories of sheaves. In this paper we investigate under which conditions of
the Grothendieck site and the category of coefficients it can be used to obtain
fibrant models and hence to do sheaf homotopy theory. For instance, for which
Grothendieck sites and coefficients we can define sheaf cohomology and derived
functors through it.


title:
Feedback from Winds and Supernovae in Massive Stellar Clusters. I:
  Hydrodynamics

abstract:
  We use 3D hydrodynamical models to investigate the effects of massive star
feedback from winds and supernovae on inhomogeneous molecular material left
over from the formation of a massive stellar cluster. We simulate the
interaction of the mechanical energy input from a cluster with 3 O-stars into a
giant molecular cloud (GMC) clump containing 3240 solar masses of molecular
material within a 4 pc radius. The cluster wind blows out of the molecular
clump along low-density channels, into which denser clump material is
entrained. We find that the densest molecular regions are surprisingly
resistant to ablation by the cluster wind, in part due to shielding by other
dense regions closer to the cluster. Nonetheless, molecular material is
gradually removed by the cluster wind during which mass-loading factors in
excess of several 100 are obtained. Because the clump is very porous, 60-75 per
cent of the injected wind energy escapes the simulation domain, with the
difference being radiated. After 4.4 Myr, the massive stars in our simulation
begin to explode as supernovae. The highly structured environment into which
the SN energy is released allows even weaker coupling to the remaining dense
material and practically all of the SN energy reaches the wider environment.
The molecular material is almost completely dispersed and destroyed after 6
Myr. The escape fraction of ionizing radiation is estimated to be about 50 per
cent during the first 4 Myr of the cluster's life. A similar model with a
larger and more massive GMC clump reveals the same general picture, though more
time is needed for it to be destroyed.


title: The INTEGRAL/IBIS Complete Sample of Type 1 AGN

abstract:
  The determination of the broad (0.1-100 keV) spectra of active galaxies is
crucial for understanding and discriminating among emission models, for
estimating the properties of the Comptonising/reflecting region around the
central black hole and for obtaining a firm description of the contribution of
AGN to the Cosmic X-ray Background. Although broad-band X-ray measurements of
AGN have been made in the past, these did not generally pertain to a complete
sample of sources. Since few years, we have started a systematic analysis of
the 0.1-100 keV spectra of a complete sample of AGN selected in the hard X-ray
band (20-40 keV) using low energy data (not always of good quality) from a set
of operating X-ray telescopes. Thanks to data obtained through an XMM-Newton
Large Programme, we have now high quality 0.1-10 keV data for all sources in
the sample; these combined with high energy observations from INTEGRAL/IBIS and
Swift/BAT will allow us to study the spectral properties of this complete
sample. Here in particular, we report the progress made on type 1 AGN, focusing
in particular on the continuum and its high energy cut-off, the reflection
fraction, the absorption properties and the presence of soft excesses and warm
absorbers in our sources. More specifically we discuss the broad-band
properties of 4 sources IGR J00333+6122, Swift J0917.2-6221, GRS 1734-292 and
NGC 6814, which can be considered as the most representative objects of our
sample.


title: Half-knot in the spinor condensates

abstract:
  We present an exact solution to the stationary coupled nonlinear
Gross-Pitaevskii equations which govern the motion of the spinor Bose-Einstein
condensates. The solitonic solution is a twisted half-skyrmion in the
three-dimension (3D) space. By making a map from and the Cartesian coordinates
to the toroidal coordinates, we demonstrate it is a linked half-unknot with a
fractional Hopf charge.


title: Degree sequences of random digraphs and bipartite graphs

abstract:
  We investigate the joint distribution of the vertex degrees in three models
of random bipartite graphs. Namely, we can choose each edge with a specified
probability, choose a specified number of edges, or specify the vertex degrees
in one of the two colour classes. This problem can alternatively be described
in terms of the row and sum columns of random binary matrix or the in-degrees
and out-degrees of a random digraph, in which case we can optionally forbid
loops. It can also be cast as a problem in random hypergraphs, or as a
classical occupancy, allocation, or coupon collection problem. In each case,
provided the two colour classes are not too different in size nor the number of
edges too low, we define a probability space based on independent binomial
variables and show that its probability masses asymptotically equal those of
the degrees in the graph model almost everywhere. The accuracy is sufficient to
asymptotically determine the expectation of any joint function of the degrees
whose maximum is at most polynomially greater than its expectation.


title: Chasing extreme blazars with INTEGRAL

abstract:
  Within the blazar population, hard X-ray selected objects are of particular
interest as they tend to lie at each end of the blazar sequence. In particular,
flat spectrum radio quasars located at high redshifts display the most powerful
jets, the largest black hole masses and the most luminous accretion disks:
their spectral energy distribution has a Compton peak in the sub-MeV region
which favours their detection by instruments like INTEGRAL/IBIS and Swift/BAT.
These sources are even more extreme than blazars selected in other wavebands,
like, for example, the gamma-ray range explored by Fermi. Here we report on a
sample of 12 high redshift blazars detected so far by INTEGRAL, including 3
newly identified objects. Some properties of the combined IBIS/BAT sample of
high redshift blazars (z>2) are also compared to those of a similar similar
sample obtained by Fermi.


title:
An optimization approach to kinetic model reduction for combustion
  chemistry

abstract:
  Model reduction methods are relevant when the computation time of a full
convection-diffusion-reaction simulation based on detailed chemical reaction
mechanisms is too large. In this article, we review a model reduction approach
based on optimization of trajectories and show its applicability to realistic
combustion models. As most model reduction methods, it identifies points on a
slow invariant manifold based on time scale separation in the dynamics of the
reaction system. The numerical approximation of points on the manifold is
achieved by solving a semi-infinite optimization problem, where the dynamics
enter the problem as constraints. The proof of existence of a solution for an
arbitrarily chosen dimension of the reduced model (slow manifold) is extended
to the case of realistic combustion models including thermochemistry by
considering the properties of proper maps. The model reduction approach is
finally applied to three models based on realistic reaction mechanisms: 1.
ozone decomposition as a small test case; 2. simplified hydrogen combustion for
comparison with another model reduction method; 3. syngas combustion as a test
case including all features of a detailed combustion mechanism.


title:
Structure-dynamics relationship in coherent transport through disordered
  systems

abstract:
  Quantum transport is strongly influenced by interference with phase relations
that depend sensitively on the scattering medium. Since even small changes in
the geometry of the medium can turn constructive interference to destructive, a
clear relation between structure and fast, efficient transport is difficult to
identify. Here we present a complex network analysis of quantum transport
through disordered systems to elucidate the relationship between transport
efficiency and structural organization. Evidence is provided for the emergence
of structural classes with different geometries but similar high efficiency.
Specifically, a structural motif characterised by pair sites which are not
actively participating to the dynamics renders transport properties robust
against perturbations. Our results pave the way for a systematic
rationalization of the design principles behind highly efficient transport
which is of paramount importance for technological applications as well as to
address transport robustness in natural light harvesting complexes.


title: Anisotropy of the gap parameter in the hole-doped cuprates

abstract:
  The structure of the gap parameter ($\Delta_{k}$) for the hole-doped cuprates
has been studied. The obtained results indicate that the antinodal part of
$\Delta_{k}$ is very weakly temperature dependent and above the critical
temperature ($T_{C}$), it extends into the anomalous normal state to the
pseudogap temperature. On the other hand, the values of $\Delta_{k}$, which are
close to the nodal part, are strongly temperature dependent. The model has been
tested for the ${\rm YBa_{2}Cu_{3}O_{7-\delta}}$ superconductor. It has been
shown that the theoretical results agree with the experimental data.


title: Review on Active Galactic Nuclei at hard X-ray energies

abstract:
  Hard X-ray surveys are an important tool for the study of active galactic
nuclei (AGN): they provide almost an unbiased view of absorption in the
extragalactic population, allow the study of spectral features such as
reflection and high energy cut-off which would otherwise be unexplored and
favour the discovery of some blazars at high redshift. Here, we present the
absorption properties of a large sample of INTEGRAL detected AGN, including an
update on the fraction of Compton thick objects. For a sub-sample of 87
sources, which represent a complete set of bright AGN, we will discuss the hard
X-ray (20-100 keV) spectral properties, also in conjunction with Swift/BAT 58
month data, providing information on BAT/IBIS cross-calibration constant,
average spectral shape and spectral complexity. For this complete sample, we
will also present broad-band data using soft X-ray observations, in order to
explore the complexity of AGN spectra both at low and high energies and to
highlight the variety of shapes. Future prospects for AGN studies with INTEGRAL
will also be outlined.


title:
Exact distributions of the number of distinct and common sites visited
  by N independent random walkers

abstract:
  We study the number of distinct sites S_N(t) and common sites W_N(t) visited
by N independent one dimensional random walkers, all starting at the origin,
after t time steps. We show that these two random variables can be mapped onto
extreme value quantities associated to N independent random walkers. Using this
mapping, we compute exactly their probability distributions P_N^d(S,t) and
P_N^d(W,t) for any value of N in the limit of large time t, where the random
walkers can be described by Brownian motions. In the large N limit one finds
that S_N(t)/\sqrt{t} \propto 2 \sqrt{\log N} + \widetilde{s}/(2 \sqrt{\log N})
and W_N(t)/\sqrt{t} \propto \widetilde{w}/N where \widetilde{s} and
\widetilde{w} are random variables whose probability density functions (pdfs)
are computed exactly and are found to be non trivial. We verify our results
through direct numerical simulations.


title: Quasi-bialgebra Structures and Torsion-free Abelian Groups

abstract:
  We describe all the quasi-bialgebra structures of a group algebra over a
torsion-free abelian group. They all come out to be triangular in a unique way.
Moreover, up to an isomorphism, these quasi-bialgebra structures produce only
one (braided) monoidal structure on the category of their representations.
Applying these results to the algebra of Laurent polynomials, we recover two
braided monoidal categories introduced in \cite{CG} by S. Caenepeel and I.
Goyvaerts in connection with Hom-structures (Lie algebras, algebras,
coalgebras, Hopf algebras).


title:
Electronic properties of Fabre charge-transfer salts under various
  temperature and pressure conditions

abstract:
  Using density functional theory, we determine parameters of tight-binding
Hamiltonians for a variety of Fabre charge transfer salts, focusing in
particular on the effects of temperature and pressure. Besides relying on
previously published crystal structures, we experimentally determine two new
sets of structures; (TMTTF)$_2$SbF$_6$ at different temperatures and
(TMTTF)$_2$PF$_6$ at various pressures. We find that a few trends in the
electronic behavior can be connected to the complex phase diagram shown by
these materials. Decreasing temperature and increasing pressure cause the
systems to become more two-dimensional. We analyze the importance of
correlations by considering an extended Hubbard model parameterized using
Wannier orbital overlaps and show that while charge order is strongly activated
by the inter-site Coulomb interaction, the magnetic order is only weakly
enhanced. Both orders are suppressed when the effective pressure is increased.


title: Rational Subsets and Submonoids of Wreath Products

abstract:
  It is shown that membership in rational subsets of wreath products H \wr V
with H a finite group and V a virtually free group is decidable. On the other
hand, it is shown that there exists a fixed finitely generated submonoid in the
wreath product Z \wr Z with an undecidable membership problem.


title: The sine-Gordon model in the presence of defects

abstract:
  The sine-Gordon model in the presence of dynamical integrable defects is
investigated. This is an application of the algebraic formulation introduced
for integrable defects in earlier works. The quantities in involution as well
as the associated Lax pairs are explicitly extracted. Integrability i also
shown using certain sewing constraints, which emerge as suitable continuity
conditions.


title: Almost universality of a sum of norms

abstract:
  In this paper the author considers a particular type of polynomials with
integer coefficients, consisting of a perfect power and two norm forms of
abelian number fields with coprime discriminants. It is shown that such a
polynomial represents every natural number with only finitely many exceptions.
The circle method is used, and the local class field theory plays a central
role in estimating the singular series.


title:
Propagation of Alfv\'enic Waves From Corona to Chromosphere and
  Consequences for Solar Flares

abstract:
  How do magnetohydrodynamic waves travel from the fully ionized corona, into
and through the underlying partially ionized chromosphere, and what are the
consequences for solar flares? To address these questions, we have developed a
2-fluid model (of plasma and neutrals) and used it to perform 1D simulations of
Alfv\'en waves in a solar atmosphere with realistic density and temperature
structure. Studies of a range of solar features (faculae, plage, penumbra and
umbra) show that energy transmission from corona to chromosphere can exceed 20%
of incident energy for wave periods of one second or less. Damping of waves in
the chromosphere depends strongly on wave frequency: waves with periods 10
seconds or longer pass through the chromosphere with relatively little damping,
however, for periods of 1 second or less, a substantial fraction (37%-100%) of
wave energy entering the chromosphere is damped by ion-neutral friction in the
mid and upper chromosphere, with electron resistivity playing some role in the
lower chromosphere and in umbras. We therefore conclude that Alfv\'enic waves
with periods of a few seconds or less are capable of heating the chromosphere
during solar flares, and speculate that they could also contribute to electron
acceleration or exciting sunquakes.


title:
Chandra observation of the Galactic supernova remnant CTB 109
  (G109.1-1.0)

abstract:
  Context: We study the X-ray emission of the Galactic supernova remnant (SNR)
CTB 109 (G109.1-1.0), which is well-known for its enigmatic half-shell
morphology both in radio and in X-rays and is associated with the anomalous
X-ray pulsar (AXP) 1E2259+586. Aims: We want to understand the origin of the
X-ray bright feature inside the SNR called the Lobe and the details of the
interaction of the SNR shock wave with the ambient interstellar medium (ISM).
Methods: The Lobe and the northeastern part of the SNR were observed with
Chandra ACIS-I. We analysed the spectrum of the X-ray emission by dividing the
entire observed emission into small regions. The X-ray emission is best
reproduced with one-component or two-component non-equilibrium ionisation
models depending on the position. In the two-component model one emission
component represents the shocked ISM and the other the shocked ejecta. Results:
We detect enhanced element abundances, in particular for Si and Fe, in and
around the Lobe. There is one particular region next to the Lobe with a high Si
abundance of 3.3 (2.6 - 4.0) times the solar value. This is the first,
unequivocal detection of ejecta in CTB 109. Conclusions: The new Chandra data
confirm that the Lobe was created by the interaction of the SNR shock and the
supernova ejecta with dense and inhomogeneous medium in the environment of SNR
CTB 109. The newly calculated age of the SNR is t ~ 1.4 x 10^4 yr.


title:
Scheme of 2-dimensional atom localization for a three-level atom via
  quantum coherence

abstract:
  We present a scheme for two-dimensional (2D) atom localization in a
three-level atomic system. The scheme is based on quantum coherence via
classical standing wave fields between the two excited levels. Our results show
that conditional position probability is significantly phase dependent of the
applied field and frequency detuning of spontaneously emitted photons. We
obtain a single localization peak having probability close to unity by
manipulating the control parameters. The effect of atomic level coherence on
the sub-wavelength localization has also been studied. Our scheme may be
helpful in systems involving atom-field interaction.


title: Structure and magnetic interactions in the solid solution Ba3-xSrxCr2O8

abstract:
  Solid solutions of the magnetic insulators Ba3Cr2O8 and Sr3Cr2O8
(Ba3-xSrxCr2O8) have been prepared in polycrystalline form for the first time.
Single crys- talline material was obtained using a mirror image floating zone
technique. X-ray diffraction data taken at room temperature indicate that the
space group of Ba3-xSrxCr2O8 remains unchanged for all values of x, while the
cell parameters depend on the chemical composition, as expected. Magnetization
data, measured from 300 K down to 2 K, suggests that the interaction constant
Jd within the Cr5+ dimers varies in a peculiar way as a function of x, starting
at Jd = 25K for x = 0, then first slightly dropping to Jd = 18K for x = 0.75,
before reaching Jd = 62K for x = 3.


title: Multiple zeta value cycles in low weight

abstract:
  In a recent work, the author has constructed two families of algebraic cycles
in Bloch cycle algebra over the prjective line minus 3 points that are expected
to correspond to multiple polylogarithms in one variable and have a good
specialization at 1 related to multiple zeta values. This is a short
presentation, by the way of toy examples in low weight (5), of this contruc-
tion and could serve as an introduction to the general setting. Working in low
weight also makes it possible to push ("by hand") the construction further. In
particular, we will not only detail the construction of the cycle but we will
also associate to these cycles explicit elements in the bar construction over
the cycle algebra and make as explicit as possible the "bottow-left"
coefficient of the Hodge realization periods matrix. That is, in a few relevant
cases we will associated to each cycles an integral showing how the
specialization at 1 is related to multiple zeta values. We will be particularly
interested in a new weight 3 example .


title: Geometric structures on moment-angle manifolds

abstract:
  The moment-angle complex Z_K is cell complex with a torus action constructed
from a finite simplicial complex K. When this construction is applied to a
triangulated sphere K or, in particular, to the boundary of a simplicial
polytope, the result is a manifold. Moment-angle manifolds and complexes are
central objects in toric topology, and currently are gaining much interest in
homotopy theory, complex and symplectic geometry.
  The geometric aspects of the theory of moment-angle complexes are the main
theme of this survey. We review constructions of non-Kahler complex-analytic
structures on moment-angle manifolds corresponding to polytopes and complete
simplicial fans, and describe invariants of these structures, such as the Hodge
numbers and Dolbeault cohomology rings. Symplectic and Lagrangian aspects of
the theory are also of considerable interest. Moment-angle manifolds appear as
level sets for quadratic Hamiltonians of torus actions, and can be used to
construct new families of Hamiltonian-minimal Lagrangian submanifolds in a
complex space, complex projective space or toric varieties.


title: Dispersion forces inside metallic waveguides

abstract:
  We consider the dispersion energy of a pair of dipoles embedded in a metallic
waveguide with transverse dimension $a$ smaller than the characteristic dipolar
wavelength. We find that $a$ sets the scale that separates retarded,
Casimir-Polder-like, from quasistatic, van der Waals-like, interactions.
Whereas in the retarded regime, the energy decays exponentially with
inter-dipolar distance, typical of evanescent waves, in the van der Waals
regime, the known free-space result is obtained. This short-range scaling
implies that the additivity of the dispersion interactions inside a waveguide
extends to denser media, along with modifications to related Casimir effects in
such structures.


title: RIO: Minimizing User Interaction in Debugging of Knowledge Bases

abstract:
  The best currently known interactive debugging systems rely upon some
meta-information in terms of fault probabilities in order to improve their
efficiency. However, misleading meta information might result in a dramatic
decrease of the performance and its assessment is only possible a-posteriori.
Consequently, as long as the actual fault is unknown, there is always some risk
of suboptimal interactions. In this work we present a reinforcement learning
strategy that continuously adapts its behavior depending on the performance
achieved and minimizes the risk of using low-quality meta information.
Therefore, this method is suitable for application scenarios where reliable
prior fault estimates are difficult to obtain. Using diverse real-world
knowledge bases, we show that the proposed interactive query strategy is
scalable, features decent reaction time, and outperforms both entropy-based and
no-risk strategies on average w.r.t. required amount of user interaction.


title: Experimental generation of ring-shaped beams with random sources

abstract:
  We have experimentally reproduced ring shaped beams from the scattered
Laguerre-Gaussian and Bessel-Gaussian beams. A rotating ground glass plate is
used as a scattering medium and a plano convex lens collects the scattered
light to generate ring shaped beams at the Fourier plane. The obtained
experimental results are supported with the numerical results and are in good
agreement with the theoretical results proposed by Wang, Cai and Korotkova
(Opt. Exp. 17, 22366 (2009)).


title:
Limit points and Hopf bifurcation points for a one - parameter dynamical
  system associated to the Luo - Rudy I model

abstract:
  A one - parameter dynamical system is associated to the mathematical problem
governing the membrane excitability of a ventricular cardiomyocyte, according
to the Luo-Rudy I model. An algorithm used to construct the equilibrium curve
is presented. Some test functions are used in order to locate limit points and
Hopf bifurcation points. Two extended systems allow to calculate these points.
The numerical results are presented in a bifurcation diagram.


title: The wobbly Galaxy: kinematics north and south with RAVE red clump giants

abstract:
  The RAVE survey, combined with proper motions and distance estimates, can be
used to study in detail stellar kinematics in the extended solar neighbourhood
(solar suburb). Using the red clump, we examine the mean velocity components in
3D between an R of 6 and 10 kpc and a Z of -2 to 2 kpc, concentrating on
North-South differences. Simple parametric fits to the R, Z trends for VPHI and
the velocity dispersions are presented. We confirm the recently discovered
gradient in mean Galactocentric radial velocity, VR, finding that the gradient
is more marked below the plane, with a Z gradient also present. The vertical
velocity, VZ, also shows clear structure, with indications of a
rarefaction-compression pattern, suggestive of wave-like behaviour. We perform
a rigorous error analysis, tracing sources of both systematic and random
errors. We confirm the North-South differences in VR and VZ along the
line-of-sight, with the VR estimated independent of the proper motions. The
complex three-dimensional structure of velocity space presents challenges for
future modelling of the Galactic disk, with the Galactic bar, spiral arms and
excitation of wave-like structures all probably playing a role.


title: Performance of the CMS Level-1 Trigger

abstract:
  The first level trigger of the CMS experiment is comprised of custom
electronics that process data from the electromagnetic and hadron calorimeters
and three technologies of muon detectors in order to select the most
interesting events from LHC collisions, such as those consistent with the
production and decay of the Higgs boson. The rate of events selected by this
Level-1 trigger must be reduced from the beam crossing frequency to no more
than 100 kHz further processing can occur, a major challenge since the LHC
instantaneous luminosity has increased by six orders of magnitude since the
start of operations to more than 6E33 cm-2s-1 today. The performance of the
Level-1 trigger, in terms of rates and efficiencies of the main objects and
trigger algorithms, as measured from LHC proton collisions at 7 and 8 TeV
center-of-mass energies is presented here.


title: Critical level-statistics for weakly disordered graphene

abstract:
  In two dimensions chaotic level-statistics is expected for massless Dirac
fermions in the presence of disorder. For weakly disordered graphene flakes
with zigzag edges the obtained level-spacing distribution in the Dirac region
is neither chaotic (Wigner) nor localized (Poisson) but similar to that at the
critical point of the Anderson metal-insulator transition. The quantum
transport in finite graphene can occur via critical edge states as in
topological insulators, for strong disorder the Dirac region vanishes and
graphene behaves as ordinary Anderson insulator.


title: Remote entanglement preparation

abstract:
  We introduce a new multipartite communication scheme, with the aim to enable
the senders to remotely and obliviously provide the receivers with an arbitrary
amount of multipartite entanglement. The scheme is similar to Remote State
Preparation (RSP). However, we show that even though the receivers are
restricted to local unitary operations, the required resources for remote
entanglement preparation are less than for RSP. In order to do so we introduce
a novel canonical form of arbitrary multipartite pure states describing an
arbitrary number of qubits. Moreover, we show that if the receivers are enabled
to perform arbitrary local operations and classical communication, the required
resources can drastically be reduced. We employ this protocol to derive robust
entanglement purification protocols for arbitrary pure states and show that it
can also be used for sending classical information.


title: Quantifying the effects of social influence

abstract:
  How do humans respond to indirect social influence when making decisions? We
analysed an experiment where subjects had to repeatedly guess the correct
answer to factual questions, while having only aggregated information about the
answers of others. While the response of humans to aggregated information is a
widely observed phenomenon, it has not been investigated quantitatively, in a
controlled setting. We found that the adjustment of individual guesses depends
linearly on the distance to the mean of all guesses. This is a remarkable, and
yet surprisingly simple, statistical regularity. It holds across all questions
analysed, even though the correct answers differ in several orders of
magnitude. Our finding supports the assumption that individual diversity does
not affect the response to indirect social influence. It also complements
previous results on the nonlinear response in information-rich scenarios. We
argue that the nature of the response to social influence crucially changes
with the level of information aggregation. This insight contributes to the
empirical foundation of models for collective decisions under social influence.


title:
The restricted primitive model of ionic fluids with nonadditive
  diameters

abstract:
  The restricted primitive model with nonadditive hard-sphere diameters is
shown to have interesting and peculiar clustering properties. We report
accurate calculations of the cluster concentrations. Implementing efficient and
ad hoc Monte Carlo algorithms we determine the effect of nonadditivity on both
the clustering and the gas-liquid binodal. For negative nonadditivity, tending
to the extreme case of completely overlapping unlike ions, the prevailing
clusters are made of an even number of particles having zero total charge. For
positive nonadditivity, the frustrated tendency to segregation of like
particles and the reduced space available to the ions favors percolating
clusters at high densities.


title:
Generalizations of generating functions for hypergeometric orthogonal
  polynomials with definite integrals

abstract:
  We generalize generating functions for hypergeometric orthogonal polynomials,
namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These
generalizations of generating functions are accomplished through series
rearrangement using connection relations with one free parameter for these
orthogonal polynomials. We also use orthogonality relations to determine
corresponding definite integrals.


title:
Synthesis of arbitrary, two-mode, high visibility N-photon interference
  patterns

abstract:
  Using coherent states and linear optics, we demonstrate the synthesis of
arbitrary interference patterns and establish that neither the shape nor the
visibility of N-photon interference patterns can be used as a quantum signature
in general. Specific examples include saw-curve and rectangle curve
interference patterns, and phase super-resolution with period shortening of up
to 60 times compared to ordinary interference. The former two with a visibility
close to 100 % and the latter with a visibility in excess of 57 %.


title: Scaling laws in the dynamics of crime growth rate

abstract:
  The increasing number of crimes in areas with large concentrations of people
have made cities one of the main sources of violence. Understanding
characteristics of how crime rate expands and its relations with the cities
size goes beyond an academic question, being a central issue for contemporary
society. Here, we characterize and analyze quantitative aspects of murders in
the period from 1980 to 2009 in Brazilian cities. We find that the distribution
of the annual, biannual and triannual logarithmic homicide growth rates exhibit
the same functional form for distinct scales, that is, a scale invariant
behavior. We also identify asymptotic power-law decay relations between the
standard deviations of these three growth rates and the initial size. Further,
we discuss similarities with complex organizations.


title:
Quantum Zeno dynamics of qubits in a squeezed reservoir: effect of
  measurement selectivity

abstract:
  A complete suppression of the exponential decay in a qubit (interacting with
a squeezed vacuum reservoir) can be achieved by frequent measurements of
adequately chosen observables. The observables and initial states (Zeno
subspace) for which the effect occurs depend on the squeezing parameters of the
bath. We show these_quantum Zeno dynamics_ to be substantially different for
selective and non-selective measurements. In either case, the approach to the
Zeno limit for a finite number of measurements is also studied numerically. The
calculation is extended from one to two qubits, where we see both Zeno and
anti-Zeno effects depending on the initial state. The reason for the striking
differences with the situation in closed systems is discussed.


title:
Metamagnetic Transition in UCoAl Probed by Thermoelectricity
  Measurements

abstract:
  We report field and temperature dependent measurements of the thermoelectric
power (TEP) and the Nernst effect in the itinerant metamagnet UCoAl. The
magnetic field is applied along the easy magnetization c-axis in the hexagonal
crystal structure. The metamagnetic transition from the paramagnetic phase at
zero field to the field induced ferromagnetic (FM) state is of first order at
low temperatures and becomes a broad crossover above the critical temperature
$T^{\star}_{M} \sim 11$ K. The field-dependence of the TEP reveals that the
effective mass of the hole carriers changes significantly at the metamagnetic
transition. The TEP experiment reflects the existence of different carrier
types in good agreement with band structure calculations and previous Hall
effect experiments. According to the temperature dependence of the TEP, no
Fermi liquid behavior appears in the paramagnetic state down to 150 mK, but is
achieved only in the field induced ferromagnetic state.


title: On existence of noncritical vertices in digraphs

abstract:
  Let $D$ be a strongly connected digraphs on $n\ge 4$ vertices. A vertex $v$
of $D$ is noncritical, if the digraph $D-v$ is strongly connected. We prove,
that if sum of the degrees of any two adjacent vertices of $D$ is at least
$n+1$, then there exists a noncritical vertex in $D$, and if sum of the degrees
of any two adjacent vertices of $D$ is at least $n+2$, then there exist two
noncritical vertices in $D$. A series of examples confirm that these bounds are
tight.


title:
Diluted antiferromagnets in a field seem to be in a different
  universality class than the random-field Ising model

abstract:
  We perform large-scale Monte Carlo simulations using the Machta-Newman-Chayes
algorithms to study the critical behavior of both the diluted antiferromagnet
in a field with 30% dilution and the random-field Ising model with Gaussian
random fields for different field strengths. Analytical calculations by Cardy
[Phys. Rev. B 29, 505 (1984)] predict that both models map onto each other and
share the same universality class in the limit of vanishing fields. However, a
detailed finite-size scaling analysis of both the Binder cumulant and the
two-point finite-size correlation length suggests that even in the limit of
small fields, where the mapping is expected to work, both models are not in the
same universality class. Therefore, care should be taken when interpreting
(experimental) data for diluted antiferromagnets in a field using the
random-field Ising model. Based on our numerical data, we present analytical
expressions for the phase boundaries of both models.