title:
New Results for the Heterogeneous Multi-Processor Scheduling Problem
  using a Fast, Effective Local Search and Random Disruption

abstract:
  The efficient scheduling of independent computational tasks in a
heterogeneous computing environment is an important problem that occurs in
domains such as Grid and Cloud computing. Finding optimal schedules is an
NP-hard problem in general, so we have to rely on approximate algorithms to
come up schedules that are as near to optimal as possible. In our previous work
on this problem, we applied a fast, effective local search to generate
reasonably good schedules in a short amount of time and used ant colony
optimisation (ACO) to incrementally improve those schedules over a longer time
period. In this work, we replace the ACO component with a random disruption
algorithm and find that this produces results which are competitive with the
current state of the art over a 90 second execution time. We also ran our
algorithm for a longer time period on 12 well-known benchmark instances and as
a result provide new upper bounds for these instances.


title:
Lagrangian for Frenkel electron and position's non-commutativity due to
  spin

abstract:
  We construct relativistic-invariant spinning-particle Lagrangian without
auxiliary variables. Spin is considered as a composed quantity constructed on
the base of non-Grassmann vector-like variable. The variational problem
guarantees both fixed value of spin and Frenkel condition on spin-tensor.
Taking into account the Frenkel condition, we obtain, inevitably, relativistic
corrections to the algebra of position variables: their classical brackets
became noncommutative, with the "parameter of non-commutativity" proportional
to the spin-tensor. This leads to a number of interesting consequences in
quantum theory. We construct the relativistic quantum mechanics in canonical
formalism (in physical-time parametrization) and in covariant formalism (in
arbitrary parametrization). We show how state-vectors and operators of
covariant formulation can be used to compute mean values of physical operators
of position and spin. This proves relativistic covariance of canonical
formalism. Various candidates for position and spin operators of an electron
acquire clear meaning and interpretation in the Lagrangian model of Frenkel
electron. We also establish the relation between Frenkel electron and
positive-energy sector of Dirac equation, this allowed us to turn to the
long-standing problem on spin and position operators of Dirac theory. Contrary
to widely assumed opinion, our results argue in favor of Pryce's (d)-type
operators. This implies that effects of non-commutativity could be presented at
the Compton wave length, in contrast to conventional expectations at the Planck
length. At last, we present the manifestly covariant form of spin and position
operators of Dirac equation.


title: Charm at Belle II - Status and Prospects

abstract:
  High-precision flavor physics measurements play a complementary role to the
direct searches for new physics by CMS and ATLAS experiments at LHC. Such
measurements will be performed with the Belle II detector at the upgraded KEKB
accelerator (SuperKEKB) in Japan. The physics potential with emphasis on the
charm sector, current status and future prospects of the Belle II experiment
are presented in these proceedings.


title: The Complexity of Fairness through Equilibrium

abstract:
  Competitive equilibrium with equal incomes (CEEI) is a well known fair
allocation mechanism; however, for indivisible resources a CEEI may not exist.
It was shown in [Budish '11] that in the case of indivisible resources there is
always an allocation, called A-CEEI, that is approximately fair, approximately
truthful, and approximately efficient, for some favorable approximation
parameters. This approximation is used in practice to assign students to
classes. In this paper we show that finding the A-CEEI allocation guaranteed to
exist by Budish's theorem is PPAD-complete. We further show that finding an
approximate equilibrium with better approximation guarantees is even harder:
NP-complete.


title: Electrokinetic Effects in Catalytic Pt-Insulator Janus Swimmers

abstract:
  The effect of added salt on the propulsion of Janus platinum-polystyrene
colloids in hydrogen peroxide solution is studied experimentally. It is found
that micromolar quantities of potassium and silver nitrate salts reduce the
swimming velocity by similar amounts, while leading to significantly different
effects on the overall rate of catalytic breakdown of hydrogen peroxide. It is
argued that the seemingly paradoxical experimental observations could be
theoretically explained by using a generalised reaction scheme that involves
charged intermediates and has the topology of two nested loops.


title:
Neutral edge modes in a superconductor -- topological-insulator hybrid
  structure in a perpendicular magnetic field

abstract:
  We study the low-energy edge states of a superconductor -- 3D
topological-insulator hybrid structure (NS junction) in the presence of a
perpendicular magnetic field. The hybridization of electron-like and hole-like
Landau levels due to Andreev reflection gives rise to chiral edge states within
each Landau level. We show that by changing the chemical potential of the
superconductor, this junction can be placed in a regime where the sign of the
effective charge of the edge state within the zeroth Landau level changes more
than once resulting in neutral edge modes with a finite value of the
guiding-center coordinate. We find that the appearance of these neutral edge
modes is related to the level repulsion between the zeroth and the first Landau
levels in the spectra. We also find that these neutral edge modes come in
pairs, one in the zeroth Landau level and its corresponding pair in the first.


title: Towards experimentally studying some puzzles of Hawking radiation

abstract:
  We investigate the features of the non-corrected thermal (non-thermal)
spectrum and the quantum corrected thermal (non-thermal) spectrum. We find
that: (i) using the quantum corrected non-thermal spectra, the black hole
radiation as tunneling is an entropy conservation process, and thus black hole
evaporation process is unitary; (ii) there are no obvious differences between
all spectra except for near the Planck mass scale by comparing their average
emission energies, average numbers of emissions and average emission energy
fluctuations; (iii) the energy covariances of Hawking radiations for all the
thermal spectra are exactly zero, while they are nontrivial for all the
non-thermal spectra. Especially, there are distinctly different maximums of
energy covariances for the temperature-corrected and energy-corrected
non-thermal spectra. Consequently, these differences provide a possible way
towards experimentally analyzing whether the radiation spectrum of black hole
is thermal or non-thermal with or without high order quantum corrections.


title:
Interaction between a moving electron and magnetic flux in Aharonov-Bohm
  effect

abstract:
  The back-action exerted by the moving electron on the magnetic flux in the
A-B effect is analyzed. It is emphasized that a reasonable interpretation on
the A-B effect should be consistent with the uncertain principle. If the
back-action on the magnetic flux is reduced to zero, the A-B effect should not
be observed, even through the vector potential still exists in space. To verify
this interpretation, a new experimental scheme is proposed in this paper.


title:
Sensitivity of Water Dynamics to Biologically Significant Surfaces of
  Monomeric Insulin: Role of Topology and Electrostatic Interactions

abstract:
  In addition to the biologically active monomer of the protein Insulin
circulating in human blood, the molecule also exists in dimeric and hexameric
forms that are used as storage. The Insulin monomer contains two distinct
surfaces, namely the dimer forming surface (DFS) and the hexamer forming
surface (HFS) that are specifically designed to facilitate the formation of the
dimer and the hexamer, respectively. In order to characterize the structural
and dynamical behaviour of interfacial water molecules near these two surfaces
(DFS and HFS), we performed atomistic molecular dynamics simulations of Insulin
with explicit water. Dynamical characterization reveals that the structural
relaxation of the hydrogen bonds formed between the residues of DFS and the
interfacial water molecules is faster than those formed between water and that
of the HFS. Furthermore, the residence times of water molecules in the protein
hydration layer for both the DFS and HFS are found to be significantly higher
than those for some of the other proteins studied so far, such as HP-36 and
lysozyme. The surface topography and the arrangement of amino acid residues
work together to organize the water molecules in the hydration layer in order
to provide them with a preferred orientation. HFS having a large polar solvent
accessible surface area and a convex extensive nonpolar region, drives the
surrounding water molecules to acquire predominantly a clathrate-like
structure. In contrast, near the DFS, the surrounding water molecules acquire
an inverted orientation owing to the flat curvature of hydrophobic surface and
interrupted hydrophilic residual alignment. We have followed escape trajectory
of several such quasi-bound water molecules from both the surfaces and
constructed free energy surfaces of these water molecules.These free energy
surfaces reveal the differences between the two hydration layers.


title: Odd order Brauer--Manin obstruction on diagonal quartic surfaces

abstract:
  We determine the odd order torsion subgroup of the Brauer group of diagonal
quartic surfaces over the field of rational numbers. We show that a
non-constant Brauer element of odd order always obstructs weak approximation
but never the Hasse principle.


title: Symplectic approach to the amplification process in a nonlinear fiber

abstract:
  We analyze the amplification processes occurring in a nonlinear fiber, either
driven with one or two pumps. After determining the solution for the signal and
idler fields resulting from these amplification processes, we analyze the
physical transformations that these fields undergo. To this aim, we use a
Bloch-Messiah decomposition for the symplectic transformation governing the
fields evolution. Although conceptually equivalent to other works in this area
[McKinstrie and Karlsson, Opt. Expr. 21, 1374 (2013)], this analysis is
intended to be particularly simple, gathering results spread in the literature,
which is useful for guiding practical implementations. Furthermore, we present
a study of the correlations of the signal-idler fields at the amplifier output.
We show that these fields are correlated, study their correlations as a
function of the pump power, and stress the impact of these correlations on the
amplifier noise figure. Finally, we address the effect of losses. We determine
whether it is advantageous to consider a link consisting in an amplifying
non-linear fiber, followed by a standard fiber based lossy transmission line,
or whether the two elements should be reversed, by comparing the respective
noise figures.


title:
Near-Field Microwave Magnetic Nanoscopy of Superconducting Radio
  Frequency Cavity Materials

abstract:
  A localized measurement of the RF critical field on superconducting radio
frequency (SRF) cavity materials is a key step to identify specific defects
that produce quenches of SRF cavities. Two new measurements are performed to
demonstrate these capabilities with a novel near-field scanning probe microwave
microscope. The first is a third harmonic nonlinear measurement on a high
Residual- Resistance-Ratio bulk Nb sample showing strong localized nonlinear
response for the first time, with surface RF magnetic field $B_{surface} \sim
10^{2}$ $mT$. The second is a raster scanned harmonic response image on a high
quality $MgB_{2}$ thin film demonstrating a quench defect-free surface over
large areas.


title:
Tirocinio Formativo Attivo nell'Ateneo di Palermo: Classe di
  Abilitazione A049 - Matematica e Fisica

abstract:
  We will describe the organization of the first cycle of the Course of
Tirocinio Formativo Attivo, Class A049 - Mathematics and Physics, at the
university of Palermo, both in terms of psycho-pedagogical activities and in
terms of subject activities. In particular, we will describe the organization
of the training done at school under the guidance of welcoming tutors and under
the guidance of the coordinating tutor. The strengths, weaknesses and critical
aspects of various activities will be highlighted and improvements will be
proposed for the subsequent cycles.


title: Generalized simulation model of teaching and its research on PC

abstract:
  One of the important problems of cyber pedagogy is the following: how,
knowing the parameters of the student, his initial level of knowledge and the
impact of the teacher to predict knowledge of student at subsequent times.
Simulation method allows you to create a computer program that simulates the
behavior of the 'teacher-student'-system and investigate the influence of
system parameters on the results of learning.


title: Exact Algorithms for Maximum Independent Set

abstract:
  We show that the maximum independent set problem (MIS) on an $n$-vertex graph
can be solved in $1.1996^nn^{O(1)}$ time and polynomial space, which even is
faster than Robson's $1.2109^{n}n^{O(1)}$-time exponential-space algorithm
published in 1986. We also obtain improved algorithms for MIS in graphs with
maximum degree 6 and 7, which run in time of $1.1893^nn^{O(1)}$ and
$1.1970^nn^{O(1)}$, respectively. Our algorithms are obtained by using fast
algorithms for MIS in low-degree graphs in a hierarchical way and making a
careful analyses on the structure of bounded-degree graphs.


title:
Unpolarised Transverse Momentum Dependent Distribution and Fragmentation
  Functions from SIDIS Multiplicities

abstract:
  The unpolarised transverse momentum dependent distribution and fragmentation
functions are extracted from HERMES and COMPASS experimental measurements of
SIDIS multiplicities for charged hadron production. The data are grouped into
independent bins of the kinematical variables, in which the TMD factorisation
is expected to hold. A simple factorised functional form of the TMDs is
adopted, with a Gaussian dependence on the intrinsic transverse momentum, which
turns out to be quite adequate in shape. HERMES data do not need any
normalisation correction, while fits of the COMPASS data much improve with a
$y$-dependent overall normalisation factor. A comparison of the extracted TMDs
with previous EMC and JLab data confirms the adequacy of the simple Gaussian
distributions. The possible role of the TMD evolution is briefly considered.


title: Poisson structures on manifolds with singularities

abstract:
  Configuration spaces of many real mechanical systems appear to be manifolds
with singularity. A singularity often indicates that geometry of motion may
change at the singular point of configuration space. We face conceptual problem
describing even mechanics of ideal models since the configuration space is not
a smooth manifold, thus, the fully developed means of Hamiltonian Mechanics
cannot be applied. In this report we present a way of conquering the
aforementioned conceptual problem by considering a certain algebra instead of
the configuration space. In this approach configuration space is the real
spectrum of the algebra. The structure of this algebra is completely determined
by the geometry of the singularity. For a broad class of singularities the
desired algebra can be described directly since it is the pullback of two
already known algebras. Availability of the algebra enables to use Differential
Operator Theory. The elementary examples of mechanical systems to which this
algorithm is applicable are flat linkages. In the frames of the presented
approach we build a Poisson structure on a manifold with a one-dimensional
singularity. The same result can be obtained to some other kinds of
singularities. For instance,at the end the we give some specific results for
the case of configuration space consisting of two curves on the plane with
arbitrary order of contact at the intersection point.


title:
Representing distributive lattices with Galois connections in terms of
  rough sets

abstract:
  This paper studies expansions of bounded distributive lattices equipped with
a Galois connection. We introduce GC-frames and canonical frames for these
algebras. The complex algebras of GC-frames are defined in terms of rough set
approximation operators. We prove that each bounded distributive lattice with a
Galois connection can be embedded into the complex algebra of its canonical
frame. We show that for every spatial Heyting algebra $L$ equipped with a
Galois connection, there exists a GC-frame such that $L$ is isomorphic to the
complex algebra of this frame, and an analogous result holds for weakly atomic
Heyting-Brouwer algebras with a Galois connection. In each case of
representation, given Galois connections are represented by rough set upper and
lower approximations.


title: Antiferromagnetic Slater Insulator Phase of Na2IrO3

abstract:
  Using a hybrid density-functional theory (DFT) calculation including
spin-orbit coupling (SOC), we predict that the zigzag antiferromagnetic (AFM)
ground state of the honeycomb layered compound Na2IrO3 opens the observed
insulating gap through a long-range magnetic order. We show that the effect of
SOC and the correction of self-interaction error inherent in previous local or
semilocal DFT calculations play crucial roles in predicting the band gap
formation in Na2IrO3. It is revealed that the itinerant AFM order with a strong
suppression of the Ir magnetic moment is attributed to a considerable
hybridization of the Ir 5d orbitals with the O 2p orbitals. Thus, our results
suggest that the insulating phase of Na2IrO3 can be represented as a Slater
insulator driven by itinerant magnetism.


title: Paley type inequality for the Fourier transform on the Heisenberg group

abstract:
  A Paley type inequality for the Fourier transform on $H^p(H^n);$ the Hardy
space on the Heisenberg group, is obtained for $0 < p \leq 1.$


title: Compact homogeneous lcK manifolds are Vaisman

abstract:
  We prove that any compact homogeneous locally conformally K\"ahler manifold
has parallel Lee form.


title: On linearization of line bundles

abstract:
  We study the linearization of line bundles and the local structure of actions
of connected linear algebraic groups, in the setting of seminormal varieties.
We show that several classical results about normal varieties extend to that
setting, if the Zariski topology is replaced with the \'etale topology.


title:
Quantum speed limits and optimal Hamiltonians for driven systems in
  mixed states

abstract:
  Inequalities of Mandelstam-Tamm and Margolus-Levitin type provide lower
bounds on the time it takes for a quantum system to evolve from one state into
another. Knowledge of such bounds, called quantum speed limits, is of utmost
importance in virtually all areas of physics, where determination of the
minimum time required for a quantum process is of interest. Most
Mandelstam-Tamm and Margolus-Levitin inequalities found in the literature have
been derived from growth estimates for the Bures length, which is a statistical
distance measure. In this paper we derive such inequalities by differential
geometric methods, and we compare the obtained quantum speed limits with those
involving the Bures length. We also characterize the Hamiltonians which
optimize the evolution time for generic finite-level quantum systems.


title:
Normal and anomalous densities in Bose-Einstein condensate with optical
  lattices

abstract:
  We study the quantum phase transition from the superfluid to the Mott
insulator state in two and three dimensional Bose-Einstein condensate (BEC)
with optical lattices using Bose-Hubbard Hamiltonian within the Generalized
Hatree-Fock-Bogoliubov (GHFB) approximation. The behavior of the depletion and
the anomalous fraction has been investigated in the Mott insulator phase. We
found that at T = 0, these quantities become significant in two and three
dimensions. It is shown also that the dimensionality of the lattice enhances
the anomalous density.


title:
Deconfinement phase transition in the Hamiltonian approach to Yang-Mills
  theory in Coulomb gauge

abstract:
  Recent results obtained for the deconfinement phase transition within the
Hamiltonian approach to Yang-Mills theory are reviewed. Assuming a
quasiparticle picture for the grand canonical gluon ensemble the thermal
equilibrium state is found by minimizing the free energy with respect to the
quasi-gluon energy. The deconfinement phase transition is accompanied by a
drastic change of the infrared exponents of the ghost and gluon propagators.
Above the phase transition the ghost form factor remains infrared divergent but
its infrared exponent is approximately halved. The gluon energy being infrared
divergent in the confined phase becomes infrared finite in the deconfined
phase. Furthermore, the effective potential of the order parameter for
confinement is calculated for SU$(N)$ Yang-Mills theory in the Hamiltonian
approach by compactifying one spatial dimension and using a background gauge
fixing. In the simplest truncation, neglecting the ghost and using the
ultraviolet form of the gluon energy, we recover the Weiss potential. From the
full non-perturbative potential (with the ghost included) we extract a critical
temperature of the deconfinement phase transition of $269$ MeV for the gauge
group SU$(2)$ and $283$ MeV for SU$(3)$.


title: Viscosity solutions, ends and ideal boundary

abstract:
  On a smooth, non-compact, complete, boundaryless, connected Riemannian
manifold $(M,g)$, there are three kinds of objects that have been studied
extensively:
  $\bullet$ Viscosity solutions to the Hamilton-Jacobi equation determined by
the Riemannian metric;
  $\bullet$ Ends introduced by Freudenthal and more general other remainders
from compactification theory;
  $\bullet$ Various kinds of ideal boundaries introduced by Gromov.
  In this paper, we will present some initial relationship among these three
kinds of objects and some related topics are also considered.


title:
The RCT 1.3-meter Robotic Telescope: Broad-band Color Transformation and
  Extinction Calibration

abstract:
  The RCT 1.3-meter telescope, formerly known as the Kitt Peak National
Observatory (KPNO) 50-inch telescope, has been refurbished as a fully robotic
telescope, using an autonomous scheduler to take full advantage of the
observing site without the requirement of a human presence. Here we detail the
current configuration of the RCT, and present as a demonstration of its
high-priority science goals, the broadband {\it UBVRI} photometric calibration
of the optical facility. In summary, we find the linear color transformation
and extinction corrections to be consistent with similar optical KPNO
facilities, to within a photometric precision of 10% (at $1\sigma$). While
there were identified instrumental errors likely adding to the overall
uncertainty, associated with since-resolved issues in engineering and
maintenance of the robotic facility, a preliminary verification of this
calibration gave good indication that the solution is robust, perhaps to a
higher precision than this initial calibration implies. The RCT has been
executing regular science operations since 2009, and is largely meeting the
science requirements set in its acquisition and re-design.


title: Parallel architectures for fuzzy triadic similarity learning

abstract:
  In a context of document co-clustering, we define a new similarity measure
which iteratively computes similarity while combining fuzzy sets in a
three-partite graph. The fuzzy triadic similarity (FT-Sim) model can deal with
uncertainty offers by the fuzzy sets. Moreover, with the development of the Web
and the high availability of storage spaces, more and more documents become
accessible. Documents can be provided from multiple sites and make similarity
computation an expensive processing. This problem motivated us to use parallel
computing. In this paper, we introduce parallel architectures which are able to
treat large and multi-source data sets by a sequential, a merging or a
splitting-based process. Then, we proceed to a local and a central (or global)
computing using the basic FT-Sim measure. The idea behind these architectures
is to reduce both time and space complexities thanks to parallel computation.


title: Time evolution of ADM and CMC center of mass in general relativity

abstract:
  It is shown by several authors going back to Huisken-Yau that asymptotically
Schwarzschildean time-slices possess a unique foliation by stable constant mean
curvature (CMC) spheres defining the so-called CMC center of mass. We analyze
how the leaves of this foliation evolve in time under the Einstein equations.
More precisely, we prove that, asymptotically, their time evolution is a
translation induced by the quotient of their linear momentum and mass, as to be
expected from the corresponding Newtonian setting. In particular, the
definitions of mass and linear momentum defined by Arnowitt-Deser-Misner (ADM)
are compatible with the interpretation of the CMC foliation as the center of
mass of the time-slice by Huisken-Yau. Furthermore, we prove that the
coordinate version of the center of mass by Arnowitt-Deser-Misner and the
coordinate version of the CMC center of mass coincide - without additional
conditions on the scalar curvature. This is even true in the sense of
existence, i.e. if one of the two exists then so does the other.


title:
On harmonic Functions of killed Random Walks in two dimensional convex
  Cones

abstract:
  We prove the existence of uncountably many positive harmonic functions for
random walks on the euclidean lattice with non-zero drift, killed when leaving
two dimensional convex cones with vertex in 0. Our proof is an adaption of the
proof for the positive quadrant from [Ignatiouk-Robert, Loree]. We also make
the natural conjecture about the Martin boundary for general convex cones in
two dimensions. This is still an open problem and here we only indicate where
the proof technique for the positive quadrant breaks down.


title: Inequalities Becker-Stark at extreme points

abstract:
  The aim of this work is to extend Becker-Stark inequalities near the origin
and {\pi}/2.


title: A subtly analysis of Wilker inequality

abstract:
  The aim of this work is to improve Wilker inequalities near the origin and
{\pi}/2.


title:
On some convergences to the constant e and improvements of Carlemans'
  inequality

abstract:
  We present inequalities and some applications to Kellers' limit and
Carlemans' inequality.


title:
Virtual amplitudes and threshold behaviour of hadronic top-quark
  pair-production cross sections

abstract:
  We present the two-loop virtual amplitudes for the production of a top-quark
pair in gluon fusion. The evaluation method is based on a numerical solution of
differential equations for master integrals in function of the quark velocity
and scattering angle starting from a boundary at high-energy. The results are
given for the renormalized infrared finite remainders on a large grid and have
recently been used in the calculation of the total cross sections at the
next-to-next-to-leading order. For convenience, we also give the known results
for the quark annihilation case on the same grid. Outside of the kinematical
range covered by the grid, we provide threshold and high-energy expansions.
  From expansions of the two-loop virtual amplitudes, we determine the
threshold behavior of the total cross sections at next-to-next-to-leading order
for the quark annihilation and gluon fusion channels including previously
unknown constant terms. In our analysis of the quark annihilation channel, we
uncover the presence of a velocity enhanced logarithm of Coulombic origin,
which was missed in a previous study.


title: Higgs boson decay into two photons in an electromagnetic background

abstract:
  The amplitude for Higgs boson decay into two photons in a homogeneous and
time-independent magnetic field is investigated by proper-time regularization
in a gauge invariant manner and is found to be singular at large field values.
The singularity is caused by the component of the charged vector boson field
that is tachyonic in a strong magnetic field. Also tools for the computation of
the amplitude in a more general electromagnetic background are developed.


title: Negative Index Materials: The Key to "White" Multilayer Fabry-Perot

abstract:
  The use of negative index materials is highly efficient for tayloring the
spectral dispersion properties of a quarter-wavelength Bragg mirror and for
obtaining a resonant behavior of a multilayer Fabry-Perot cavity over a very
large spectral range. An optimization method is proposed and validated on some
first promising devices.


title:
Dimension-free Concentration Bounds on Hankel Matrices for Spectral
  Learning

abstract:
  Learning probabilistic models over strings is an important issue for many
applications. Spectral methods propose elegant solutions to the problem of
inferring weighted automata from finite samples of variable-length strings
drawn from an unknown target distribution. These methods rely on a singular
value decomposition of a matrix $H_S$, called the Hankel matrix, that records
the frequencies of (some of) the observed strings. The accuracy of the learned
distribution depends both on the quantity of information embedded in $H_S$ and
on the distance between $H_S$ and its mean $H_r$. Existing concentration bounds
seem to indicate that the concentration over $H_r$ gets looser with the size of
$H_r$, suggesting to make a trade-off between the quantity of used information
and the size of $H_r$. We propose new dimension-free concentration bounds for
several variants of Hankel matrices. Experiments demonstrate that these bounds
are tight and that they significantly improve existing bounds. These results
suggest that the concentration rate of the Hankel matrix around its mean does
not constitute an argument for limiting its size.


title:
Measurement of the muon charge asymmetry in inclusive pp to WX
  production at sqrt(s) = 7 TeV and an improved determination of light parton
  distribution functions

abstract:
  Measurements of the muon charge asymmetry in inclusive pp to WX production at
sqrt(s) = 7 TeV are presented. The data sample corresponds to an integrated
luminosity of 4.7 inverse femtobarns recorded with the CMS detector at the LHC.
With a sample of more than twenty million W to mu nu events, the statistical
precision is greatly improved in comparison to previous measurements. These new
results provide additional constraints on the parton distribution functions of
the proton in the range of the Bjorken scaling variable x from 10E-3 to 10E-1.
These measurements and the recent CMS measurement of associated W + charm
production are used together with the cross sections for inclusive deep
inelastic ep scattering at HERA in a next-to-leading-order QCD analysis. The
determination of the valence quark distributions is improved, and the
strange-quark distribution is probed directly through the leading-order process
g + s to W + c in proton-proton collisions at the LHC.


title:
Local Strong Solutions for the Non-Linear Thermoelastic Plate Equation
  on Rectangular Domains in $L^p$-Spaces

abstract:
  We consider the non-linear thermoelastic plate equation in rectangular
domains $\Omega$. More precisely, $\Omega$ is considered to be given as the
Cartesian product of whole or half spaces and a cube. First the linearized
equation is treated as an abstract Cauchy problem in $L^p$-spaces. We take
advantage of the structure of $\Omega$ and apply operator-valued Fourier
multiplier results to infer an $\mathcal R$-bounded $\mathcal
H^\infty$-calculus. With the help of maximal $L^p$-regularity existence and
uniqueness of local real-analytic strong solutions together with analytic
dependency on the data is shown.


title:
Nonsolvability of the asymptotic Dirichlet problems for some quasilinear
  elliptic PDEs on Hadamard manifolds

abstract:
  We show, by modifying Borb\'ely's example, that there are $3$-dimen\-sional
Cartan-Hadamard manifolds $M$, with sectional curvatures $\le -1$, such that
the asymptotic Dirichlet problem for a class of quasilinear elliptic PDEs,
including the minimal graph equation, is not solvable.


title: Description of the lack of compactness in Orlicz spaces and applications

abstract:
  In this paper, we investigate the lack of compactness of the Sobolev
embedding of $H^1(\R^2)$ into the Orlicz space $L^{{\phi}_p}(\R^2)$ associated
to the function $\phi_p$ defined by $\phi_p(s):={\rm{e}^{s^2}}-\Sum_{k=0}^{p-1}
\frac{s^{2k}}{k!}\cdot$ We also undertake the study of a nonlinear wave
equation with exponential growth where the Orlicz norm $\|.\|_{L^{\phi_p}}$
plays a crucial role. This study includes issues of global existence,
scattering and qualitative study.


title: Monitoring Three-Dimensional Packings in Microgravity

abstract:
  We present results from experiments with granular packings in three
dimensions in microgravity as realized on parabolic flights. Two different
techniques are employed to monitor the inside of the packings during
compaction: (1) X-ray radiography is used to measure in transmission the
integrated fluctuations of particle positions. (2) Stress-birefringence in
three dimensions is applied to visualize the stresses inside the packing. The
particle motions below the transition into an arrested packing are found to
produce a well agitated state. At the transition, the particles lose their
energy quite rapidly and form a stress network. With both methods, non-arrested
particles (rattlers) can be identified. In particular, it is found that
rattlers inside the arrested packing can be excited to appreciable dynamics by
the rest-accelerations (g-jitter) during a parabolic flight without destroying
the packings. At low rates of compaction, a regime of slow granular cooling is
identified. The slow cooling extends over several seconds, is described well by
a linear law, and terminates in a rapid final collapse of dynamics before
complete arrest of the packing.


title:
Optical properties of multilayer optics including negative index
  materials

abstract:
  Negative indices are revisited through the thin-film admittance formalism.
Effective indices and phase delay associated with wave propagation through
negative index layers are carefully defined and computational rules easily
implementable in standard thin-film software are derived from this approach.
This admittance formalism is then used to recover the main features of the
perfect lens and to highlight the benefit of such negative index materials to
improve the performances of quarter-wavelength Bragg mirrors and Fabry-Perot
band-pass filters.


title:
The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg
  algebras

abstract:
  We investigate symmetries on unital Kirchberg algebras with respect to the
Rokhlin property and finite Rokhlin dimension. In stark contrast to the
restrictiveness of the Rokhlin property, every such outer action has Rokhlin
dimension at most 1. A consequence of these observations is a relationship
between the nuclear dimension of an $\mathcal{O}_\infty$-absorbing C*-algebra
and its $\mathcal{O}_2$-stabilization. A more direct and alternative approach
to this is given as well. Several applications of this relationship are
discussed to cover a fairly large class of $\mathcal{O}_\infty$-absorbing
C*-algebras that turn out to have finite nuclear dimension.


title: Information-based measure of nonlocality

abstract:
  Quantum nonlocality concerns correlations among spatially separated systems
that cannot be classically explained without post-measurement communication
among the parties. Thus, a natural measure of nonlocal correlations is provided
by the minimal amount of communication required for classically simulating
them. In this paper, we present a method to compute the minimal communication
cost, which we call nonlocal capacity, for any general nonsignaling
correlations. This measure turns out to have an important role in communication
complexity and can be used to discriminate between local and nonlocal
correlations, as an alternative to the violation of Bell's inequalities.


title: Random symmetric matrices on Clifford algebras

abstract:
  We consider Brownian motions and other processes (Ornstein-Uhlenbeck
processes, spherical Brownian motions) on various sets of symmetric matrices
constructed from algebra structures, and look at their associated spectral
measure processes. This leads to the identification of the multiplicity of the
eigenvalues, together with the identification of the spectral measures. For
Clifford algebras, we thus recover Bott's periodicity.


title: Local Conformal Rigidity in Codimension $\leq$ 5

abstract:
  In this paper, for an immersion $f$ of an $n$-dimensional Riemannian manifold
$M$ into $(n+d)$-Euclidean space we give a sufficient condition on $f$ so that,
in case $d\leq 5$, any immersion $g$ of $M$ into $(n+d+1)$-Euclidean space that
induces on $M$ a metric that is conformal to the metric induced by $f$ is
locally obtained, in a dense subset of $M$, by a composition of $f$ and a
conformal immersion from an open subset of $(n+d)$-Euclidean space into an open
subset of $(n+d+1)$-Euclidean space. Our result extends a theorem for
hypersurfaces due to M. Dajczer and E. Vergasta. The restriction on the
codimension is related to a basic lemma in the theory of rigidity obtained by
M. do Carmo and M. Dajczer.


title:
PRIMEBALL: a Parallel Processing Framework Benchmark for Big Data
  Applications in the Cloud

abstract:
  In this paper, we draw the specifications of a novel benchmark for comparing
parallel processing frameworks in the context of big data applications hosted
in the cloud. We aim at filling several gaps in already existing cloud data
processing benchmarks, which lack a real-life context for their processes, thus
losing relevance when trying to assess performance for real applications.
Hence, we propose a fictitious news site hosted in the cloud that is to be
managed by the framework under analysis, together with several objective use
case scenarios and measures for evaluating system performance. The main
strengths of our benchmark are parallelization capabilities supporting cloud
features and big data properties.


title:
Confocal supercritical angle fluorescence microscopy for cell membrane
  imaging

abstract:
  We demonstrate sub-wavelength sectioning on biological samples with a
conventional confocal microscope. This optical sectioning is achieved by the
phenomenon of supercritical angle fuorescence, wherein only a fluorophore next
to the interface of a refractive index discontinuity can emit propagating
components of radiation into the so-called forbidden angles. The simplicity of
this technique allows it to be integrated with a high numerical aperture
confocal scanning microscope by only a simple modification on the detection
channel. Confocal-SAF microscopy would be a powerful tool to achieve high
resolution surface imaging, especially for membrane imaging in biological
samples


title: K\"ahler classes on universal moduli spaces and volumina of Quot spaces

abstract:
  We study the natural K\"ahler metrics on moduli spaces of stable oriented
pairs in a very general framework, and we prove a universal formula expressing
the K\"ahler class of such a moduli space in terms of characteristic classes of
the universal bundle. We use these results to compute explicitly the volumina
of certain Quot spaces.


title: Luminosity Monitoring in ATLAS with MPX Detectors

abstract:
  The ATLAS-MPX detectors are based on the Medipix2 silicon devices designed by
CERN for the detection of multiple types of radiation. Sixteen such detectors
were successfully operated in the ATLAS detector at the LHC and collected data
independently of the ATLAS data-recording chain from 2008 to 2013. Each
ATLAS-MPX detector provides separate measurements of the bunch-integrated LHC
luminosity. An internal consistency for luminosity monitoring of about 2% was
demonstrated. In addition, the MPX devices close to the beam are sensitive
enough to provide relative-luminosity measurements during van der Meer
calibration scans, in a low-luminosity regime that lies below the sensitivity
of the ATLAS calorimeter-based bunch-integrating luminometers. Preliminary
results from these luminosity studies are presented for 2012 data taken at
sqrt(s)=8 TeV proton-proton collisions.


title:
Loewner positive entrywise functions, and classification of measurable
  solutions of Cauchy's functional equations

abstract:
  Entrywise functions preserving Loewner positivity have been studied by many
authors, most notably Schoenberg and Rudin. Following their work, it is known
that functions preserving positivity when applied entrywise to positive
semidefinite matrices of all dimensions are necessarily analytic with
nonnegative Taylor coefficients. When the dimension is fixed, it has been shown
by Vasudeva and Horn that such functions are automatically continuous and
sufficiently differentiable. A natural refinement of the aforementioned problem
consists of characterizing functions preserving positivity under rank
constraints. In this paper, we begin this study by characterizing entrywise
functions which preserve the cone of positive semidefinite real matrices of
rank $1$ with entries in a general interval. Classifying such functions is
intimately connected to the classical problem of solving Cauchy's functional
equations, which have non-measurable solutions. We demonstrate that under mild
local measurability assumptions, such functions are automatically smooth and
can be completely characterized. We then extend our results by classifying
functions preserving positivity on rank $1$ Hermitian complex matrices.


title:
Enhanced photon-extraction efficiency from deterministic quantum-dot
  microlenses

abstract:
  The prospect of realizing building blocks for long-distance quantum
communication is a major driving force for the development of advanced
nanophotonic devices. Significant progress has been achieved in this field with
respect to the fabrication of efficient quantum-dot-based single-photon
sources. More recently, even spin-photon entanglement and quantum teleportation
have been demonstrated in semiconductor systems. These results are considered
as crucial steps towards the realization of a quantum repeater. The related
work has almost exclusively been performed on self-assembled quantum dots (QDs)
and random device technology. At this point it is clear that further progress
in this field towards real applications will rely crucially on deterministic
device technologies which will, for instance, enable the processing of bright
quantum light sources with pre-defined emission energy. Here we report on
enhanced photon-extraction efficiency from monolithically integrated
microlenses which are coupled deterministically to single QDs. The microlenses
with diameters down to 800 nm were aligned to single QDs by in-situ
electron-beam lithography using a low-temperature cathodoluminescence setup.
This deterministic device technology allowed us to obtain an enhancement of
photon extraction efficiency for QDs integrated into microlenses as compared to
QDs in unstructured surfaces. The excellent optical quality of the structures
is demonstrated by cathodoluminescence and micro-photoluminescence
spectroscopy. A Hong-Ou-Mandel experiment states the emission of single
indistinguishable photons.


title:
Characterizing faint galaxies in the reionization epoch: LBT confirms
  two L<0.2L* sources at z=6.4 behind the CLASH/Frontier Fields cluster
  MACS0717.5+3745

abstract:
  We report the LBT/MODS1 spectroscopic confirmation of two images of faint
Lyman alpha emitters at $z=6.4$ behind the Frontier Fields galaxy cluster
MACSJ0717.5+3745. A wide range of lens models suggests that the two images are
highly magnified, with a strong lower limit of mu>5. These are the faintest z>6
candidates spectroscopically confirmed to date. These may be also multiple
images of the same z=6.4 source as supported by their similar intrinsic
properties, but the lens models are inconclusive regarding this interpretation.
To be cautious, we derive the physical properties of each image individually.
Thanks to the high magnification, the observed near-infrared (restframe
ultraviolet) part of the spectral energy distributions and Ly-alpha lines are
well detected with S/N(m_1500)>~10 and S/N(Ly-alpha)~10-15. Adopting mu>5, the
absolute magnitudes, M_1500, and Ly-alpha fluxes, are fainter than -18.7 and
2.8x10^(-18)erg/s/cm2, respectively. We find a very steep ultraviolet spectral
slope beta=-3.0+/-0.5 (F_lambda=lambda^(beta)), implying that these are very
young, dust-free and low metallicity objects, made of standard stellar
populations or even extremely metal poor stars (age<~30Myr, E(B-V)=0 and
metallicity 0.0-0.2 Z/Zsolar). The objects are compact (< 1 kpc^(2)), and with
a stellar mass M* < 10^(8) M_solar. The very steep beta, the presence of the
Ly-alpha line and the intrinsic FWHM (<300 km/s) of these newborn objects do
not exclude a possible leakage of ionizing radiation. We discuss the
possibility that such faint galaxies may resemble those responsible for cosmic
reionization.


title:
Event activity dependence of Y(nS) production in sqrt(s[NN]) = 5.02 TeV
  pPb and sqrt(s) = 2.76 TeV pp collisions

abstract:
  The production of Y(1S), Y(2S), and Y(3S) is investigated in pPb and pp
collisions at centre-of-mass energies per nucleon pair of 5.02 TeV and 2.76
TeV, respectively. The datasets correspond to integrated luminosities of about
31 inverse nanobarns (pPb) and 5.4 inverse picobarns (pp), collected in 2013 by
the CMS experiment at the LHC. Upsilons that decay into muons are reconstructed
within the rapidity interval abs(y[CM]) < 1.93 in the nucleon-nucleon
centre-of-mass frame. Their production is studied as a function of two measures
of event activity, namely the charged-particle multiplicity measured in the
pseudorapidity interval abs(eta) < 2.4, and the sum of transverse energy
deposited at forward pseudorapidity, 4.0 < abs(eta) < 5.2. The Y cross sections
normalized by their event activity integrated values, Y(nS)/<Y((nS)>, are found
to rise with both measures of the event activity in pp and pPb. In both
collision systems, the ratios of the excited to the ground state cross
sections, Y(nS)/Y(1S), are found to decrease with the charged-particle
multiplicity, while as a function of the transverse energy the variation is
less pronounced. The event activity integrated double ratios,
[Y(nS)/Y(1S)][pPb] / [Y(nS)/Y(1S)][pp], are also measured and found to be 0.83
+/- 0.05 (stat.) +/- 0.05 (syst.) and 0.71 +/- 0.08 (stat.) +/- 0.09 (syst.)
for Y(2S) and Y(3S), respectively.


title:
Functionalization of Single-Wall Carbon Nanotubes with Chromophores of
  Opposite Internal Dipole Orientation

abstract:
  We report the functionalization of carbon nanotubes with two azobenzene-based
chromophores with large internal dipole moments and opposite dipole
orientations. The molecules are attached to the nanotubes non-covalently via a
pyrene tether. A combination of characterization techniques shows uniform
molecular coverage on the nanotubes, with minimal aggregation of excess
chromophores on the substrate. The large on/off ratios and the sub-threshold
swings of the nanotube-based field-effect transistors (FETs) are preserved
after functionalization, and different shifts in threshold voltage are observed
for each chromophore. Ab initio calculations verify the properties of the
synthesized chromophores and indicate very small charge transfer, confirming a
strong, non-covalent functionalization.


title: Accretion of Jupiter-mass Planets in the Limit of Vanishing Viscosity

abstract:
  In the core-accretion model the nominal runaway gas-accretion phase brings
most planets to multiple Jupiter masses. However, known giant planets are
predominantly Jupiter-mass bodies. Obtaining longer timescales for gas
accretion may require using realistic equations of states, or accounting for
the dynamics of the circumplanetary disk (CPD) in low-viscosity regime, or
both. Here we explore the second way using global, three-dimensional isothermal
hydrodynamical simulations with 8 levels of nested grids around the planet. In
our simulations the vertical inflow from the circumstellar disk (CSD) to the
CPD determines the shape of the CPD and its accretion rate. Even without
prescribed viscosity Jupiter's mass-doubling time is $\sim 10^4$ years,
assuming the planet at 5.2 AU and a Minimum Mass Solar Nebula. However, we show
that this high accretion rate is due to resolution-dependent numerical
viscosity. Furthermore, we consider the scenario of a layered CSD, viscous only
in its surface layer, and an inviscid CPD. We identify two planet-accretion
mechanisms that are independent of the viscosity in the CPD: (i) the polar
inflow -- defined as a part of the vertical inflow with a centrifugal radius
smaller than 2 Jupiter-radii and (ii) the torque exerted by the star on the
CPD. In the limit of zero effective viscosity, these two mechanisms would
produce an accretion rate 40 times smaller than in the simulation.


title:
A Self-assembled Fluoride-Water Cyclic Cluster of $[F(H_2O)]_4^{4-}$ in
  a Molecular Box

abstract:
  We present an unprecedented fluoride-water cyclic cluster of
$[F(H_2O)]_4^{4-}$ assembled in a cuboid-shaped molecular box formed by two
large macrocycles. Structural characterization reveals that the
$[F(H_2O)]_4^{4-}$ is assembled by strong H-bonding interactions (OH...F =
2.684(3) to 2.724(3) {\AA}), where a fluoride anion plays the topological role
of a water molecule in the classical cyclic water octamer. The interaction of
fluoride was further confirmed by $^{19}$F NMR and $^1$H NMR spectroscopies,
indicating the encapsulation of the anionic species within the cavity in
solution. High level DFT calculations and Bader topological analyses fully
support the crystallographic results, demonstrating that the bonding
arrangement in the fluoride-water cluster arises from the unique geometry of
the host.


title: Traveling waves for a bistable equation with nonlocal-diffusion

abstract:
  We consider a single component reaction-diffusion equation in one dimension
with bistable nonlinearity and a nonlocal space-fractional diffusion operator
of Riesz-Feller type. Our main result shows the existence, uniqueness (up to
translations) and stability of a traveling wave solution connecting two stable
homogeneous steady states. In particular, we provide an extension to classical
results on traveling wave solutions involving local diffusion. This extension
to evolution equations with Riesz-Feller operators requires several technical
steps. These steps are based upon an integral representation for Riesz-Feller
operators, a comparison principle, regularity theory for space-fractional
diffusion equations, and control of the far-field behavior.


title: Output-Sensitive Tools for Range Searching in Higher Dimensions

abstract:
  Let $P$ be a set of $n$ points in ${\mathbb R}^{d}$. A point $p \in P$ is
$k$\emph{-shallow} if it lies in a halfspace which contains at most $k$ points
of $P$ (including $p$). We show that if all points of $P$ are $k$-shallow, then
$P$ can be partitioned into $\Theta(n/k)$ subsets, so that any hyperplane
crosses at most $O((n/k)^{1-1/(d-1)} \log^{2/(d-1)}(n/k))$ subsets. Given such
a partition, we can apply the standard construction of a spanning tree with
small crossing number within each subset, to obtain a spanning tree for the
point set $P$, with crossing number $O(n^{1-1/(d-1)}k^{1/d(d-1)}
\log^{2/(d-1)}(n/k))$. This allows us to extend the construction of Har-Peled
and Sharir \cite{hs11} to three and higher dimensions, to obtain, for any set
of $n$ points in ${\mathbb R}^{d}$ (without the shallowness assumption), a
spanning tree $T$ with {\em small relative crossing number}. That is, any
hyperplane which contains $w \leq n/2$ points of $P$ on one side, crosses
$O(n^{1-1/(d-1)}w^{1/d(d-1)} \log^{2/(d-1)}(n/w))$ edges of $T$. Using a
similar mechanism, we also obtain a data structure for halfspace range
counting, which uses $O(n \log \log n)$ space (and somewhat higher
preprocessing cost), and answers a query in time $O(n^{1-1/(d-1)}k^{1/d(d-1)}
(\log (n/k))^{O(1)})$, where $k$ is the output size.


title:
Spectroscopic, Structural, and Theoretical Studies of Halide Complexes
  with a Urea-based Tripodal Receptor

abstract:
  A urea-based tripodal receptor L substituted with p-cyanophenyl groups has
been studied for halide anions by $^1$H NMR spectroscopy, density functional
theory (DFT) calculations and X-ray crystallography. The $^1$H NMR titration
studies suggest that the receptor forms a 1:1 complex with an anion, showing
the binding trend in the order of fluoride > chloride > bromide > iodide. The
interaction of fluoride anion with the receptor was further confirmed by 2D
NOESY and $^{19}$F NMR spectroscopy in DMSO-d$_6$. DFT calculations indicate
that the internal halide anion is held by six NH...X interactions with L,
showing the highest binding energy for the fluoride complex. Structural
characterization of the chloride, bromide, and silicon hexafluoride complexes
of $[LH^+]$ reveals that the anion is externally located via hydrogen bonding
interactions. For the bromide or chloride complex, two anions are bridged with
two receptors to form a centrosymmetric dimer, while for the silicon
hexafluoride complex, the anion is located within a cage formed by six ligands
and two water molecules.


title:
Extensive study of HD 25558, a long-period double-lined binary with two
  SPB components

abstract:
  We carried out an extensive observational study of the Slowly Pulsating B
(SPB) star, HD 25558. The ~2000 spectra obtained at different observatories,
the ground-based and MOST satellite light curves revealed that this object is a
double-lined spectroscopic binary with an orbital period of about 9 years. The
observations do not allow the inference of an orbital solution. We determined
the physical parameters of the components, and found that both lie within the
SPB instability strip. Accordingly, both show line-profile variations due to
stellar pulsations. Eleven independent frequencies were identified in the data.
All the frequencies were attributed to one of the two components based on
Pixel-by-pixel variability analysis of the line profiles. Spectroscopic and
photometric mode identification was also performed for the frequencies of both
stars. These results suggest that the inclination and rotation of the two
components are rather different. The primary is a slow rotator with ~6 d
period, seen at ~60 deg inclination, while the secondary rotates fast with ~1.2
d period, and is seen at ~20 inclination. Spectropolarimetric measurements
revealed that the secondary component has a magnetic field with at least a few
hundred Gauss strength, while no magnetic field can be detected in the primary.


title: On the Gribov problem in Yang-Mills theory

abstract:
  I briefly review the Gribov ambiguity of Yang-Mills theory, some of its
features and attempts to control it, in particular the Gribov-Zwanziger
proposal to restrict the functional integration in the Landau gauge to the
Gribov region. This proposal is extended to an arbitrary gauge in such a way as
to guarantee BRST invariance. The key insight is that any gauge change in the
generating functional can be effected by a suitable field-dependent BRST
transformation. I derive a simple analytic formula for the Jacobian of such a
transformation, which yields an explicit recipe for the required
transformation-parameter functional and allows for the computation of the
Gribov horizon functional in any gauge, as I illustrate for the class of R_xi
gauges.


title: Diophantine equations in the primes

abstract:
  Let $\mathfrak{p}=(\mathfrak{p}_1,...,\mathfrak{p}_r)$ be a system of $r$
polynomials with integer coefficients of degree $d$ in $n$ variables
$\mathbf{x}=(x_1,...,x_n)$. For a given $r$-tuple of integers, say
$\mathbf{s}$, a general local to global type statement is shown via classical
Hardy-Littlewood type methods which provides sufficient conditions for the
solubility of $\mathfrak{p}(\mathbf{x})=\mathbf{s}$ under the condition that
each of the $x_i$'s is prime.


title:
The Scalable Brain Atlas: instant web-based access to public brain
  atlases and related content

abstract:
  The Scalable Brain Atlas (SBA) is a collection of web services that provide
unified access to a large collection of brain atlas templates for different
species. Its main component is an atlas viewer that displays brain atlas data
as a stack of slices in which stereotaxic coordinates and brain regions can be
selected. These are subsequently used to launch web queries to resources that
require coordinates or region names as input. It supports plugins which run
inside the viewer and respond when a new slice, coordinate or region is
selected. It contains 20 atlas templates in six species, and plugins to compute
coordinate transformations, display anatomical connectivity and fiducial
points, and retrieve properties, descriptions, definitions and 3d
reconstructions of brain regions. The ambition of SBA is to provide a unified
representation of all publicly available brain atlases directly in the web
browser, while remaining a responsive and light weight resource that
specializes in atlas comparisons, searches, coordinate transformations and
interactive displays.


title:
Soap bubbles and isoperimetric regions in the product of a closed
  manifold with Euclidean space

abstract:
  For any closed Riemannian manifold $X$ we prove that large isoperimetric
regions in $X\times{\mathbb R}^n$ are of the form $X\times$(Euclidean ball). We
prove that if $X$ has non-negative Ricci curvature then the only soap bubbles
enclosing a large volume are the products $X\times$(Euclidean sphere). We give
an example of a surface $X$, with Gaussian curvature negative somewhere, such
that the product $X\times{\mathbb R}$ contains stable soap bubbles of
arbitrarily large enclosed volume which do not even project surjectively onto
the $X$ factor.


title: Spectroscopic Properties of Nanotube-Chromophore Hybrids

abstract:
  Recently, individual single-walled carbon nanotubes (SWNTs) functionalized
with azo-benzene chromophores were shown to form a new class of hybrid
nanomaterials for optoelectronics applications. Here we use a number of
experimental techniques and theory to understand the binding, orientation, and
nature of coupling between chromophores and the nanotubes, all of which are of
relevance to future optimization of these hybrid materials. We find that the
binding energy between chromophores and nanotubes depends strongly on the type
of tether that is used to bind the chromophores to the nanotubes, with pyrene
tethers resulting in more than 90% of the bound chromophores during processing.
DFT calculations show that the binding energy of the chromophores to the
nanotubes is maximized for chromophores parallel to the nanotube sidewall, even
with the use of tethers; second harmonic generation shows that there is
nonetheless a partial radial orientation of the chromophores on the nanotubes.
We find weak electronic coupling between the chromophores and the SWNTs,
consistent with non-covalent binding. The chromophore-nanotube coupling, while
weak, is sufficient to quench the chromophore fluorescence. Stern-Volmer plots
are non-linear, which supports a combination of static and dynamic quenching
processes. The chromophore orientation is an important variable for
chromophore-nanotube phototransistors, and our experiments suggest the
possibility for further optimizing this orientational degree of freedom.


title:
Optically Detected Cross-Relaxation Spectroscopy of Electron Spins in
  Diamond

abstract:
  The application of magnetic resonance (MR) spectroscopy at progressively
smaller length scales may eventually permit "chemical imaging" of spins at the
surfaces of materials and biological complexes. In particular, the negatively
charged nitrogen-vacancy (NV-) centre in diamond has been exploited as an
optical transducer for nanoscale nuclear magnetic resonance. However, the
spectra of detected spins are generally broadened by their interaction with
proximate paramagnetic NV- centres through coherent and incoherent mechanisms.
Here we demonstrate a detection technique that can resolve the spectra of
electron spins coupled to NV- centres, namely substitutional nitrogen (NS) and
neutral nitrogen-vacancy (NV0) centres in diamond, through optically detected
cross-relaxation. The hyperfine spectra of these spins are a unique chemical
identifier, suggesting the possibility, in combination with recent results in
diamonds harbouring shallow NV- implants, that the spectra of spins external to
the diamond can be similarly detected.


title: Variational properties of the discrete Hilbert-Einstein functional

abstract:
  This is a survey on rigidity and geometrization results obtained with the
help of the discrete Hilbert-Einstein functional, written for the proceedings
of the "Discrete Curvature" colloquium in Luminy.


title: Exotic States in the Dynamical Casimir Effect

abstract:
  We consider the interaction of a qubit with a single mode of the quantized
electromagnetic field and show that, in the ultrastrong coupling regime and
when the qubit-field interaction is switched on abruptly, the dynamical Casimir
effect leads to the generation of a variety of exotic states of the field,
which cannot be simply described as squeezed states. Such effect also appears
when initially both the qubit and the field are in their ground state. The
non-classicality of the obtained exotic states is characterized by means of a
parameter based on the volume of the negative part of the Wigner function. A
transition to non-classical states is observed by changing either the
interaction strength or the interaction time. The observed phenomena appear as
a general feature of nonadiabatic quantum gates, so that the dynamical Casimir
effect can be the origin of a fundamental upper limit to the maximum speed of
quantum computation and communication protocols.


title: Atomistic Potentials for Palladium-Silver Hydrides

abstract:
  New EAM potentials for the ternary palladium-silver-hydrogen system are
developed by extending a previously developed palladium-hydrogen potential. The
ternary potentials accurately capture the heat of mixing and structural
properties associated with solid solution alloys of palladium-silver. Stable
hydrides are produced with properties that smoothly transition across the
compositions. Additions of silver to palladium are predicted to alter the
properties of the hydrides by decreasing the miscibility gap and increasing the
likelihood of hydrogen atoms occupying tetrahedral interstitial sites over
octahedral interstitial sites.


title: Outlier robust system identification: a Bayesian kernel-based approach

abstract:
  In this paper, we propose an outlier-robust regularized kernel-based method
for linear system identification. The unknown impulse response is modeled as a
zero-mean Gaussian process whose covariance (kernel) is given by the recently
proposed stable spline kernel, which encodes information on regularity and
exponential stability. To build robustness to outliers, we model the
measurement noise as realizations of independent Laplacian random variables.
The identification problem is cast in a Bayesian framework, and solved by a new
Markov Chain Monte Carlo (MCMC) scheme. In particular, exploiting the
representation of the Laplacian random variables as scale mixtures of
Gaussians, we design a Gibbs sampler which quickly converges to the target
distribution. Numerical simulations show a substantial improvement in the
accuracy of the estimates over state-of-the-art kernel-based methods.


title:
The Atlas3D project -- XXVII. Cold Gas and the Colours and Ages of
  Early-type Galaxies

abstract:
  We present a study of the cold gas contents of the Atlas3D early-type
galaxies, in the context of their optical colours, near-UV colours, and H\beta\
absorption line strengths. Early-type (elliptical and lenticular) galaxies are
not as gas-poor as previously thought, and at least 40% of local early-type
galaxies are now known to contain molecular and/or atomic gas. This cold gas
offers the opportunity to study recent galaxy evolution through the processes
of cold gas acquisition, consumption (star formation), and removal. Molecular
and atomic gas detection rates range from 10% to 34% in red sequence early-type
galaxies, depending on how the red sequence is defined, and from 50% to 70% in
blue early-type galaxies. Notably, massive red sequence early-type galaxies
(stellar masses > 5e10 Msun, derived from dynamical models) are found to have
HI masses up to M(HI)/Mstar ~ 0.06 and H_2 masses up to M(H$_2$)/Mstar ~ 0.01.
Some 20% of all massive early-type galaxies may have retained atomic and/or
molecular gas through their transition to the red sequence. However, kinematic
and metallicity signatures of external gas accretion (either from satellite
galaxies or the intergalactic medium) are also common, particularly at stellar
masses <= 5e10 Msun, where such signatures are found in ~ 50% of H$_2$-rich
early-type galaxies. Our data are thus consistent with a scenario in which fast
rotator early-type galaxies are quenched former spiral galaxies which have
undergone some bulge growth processes, and in addition, some of them also
experience cold gas accretion which can initiate a period of modest star
formation activity. We discuss implications for the interpretation of
colour-magnitude diagrams.


title: Mixed methods for elastodynamics with weak symmetry

abstract:
  We analyze the application to elastodynamic problems of mixed finite element
methods for elasticity with weak symmetry. Our approach leads to a semidiscrete
method which consists of a system of ordinary differential equations without
algebraic constraints. Our error analysis, which is based on a new elliptic
projection operator, applies to several mixed finite element spaces developed
for elastostatics. The error estimates we obtain are robust for nearly
incompressible materials.


title: Time-analyticity of Lagrangian particle trajectories in ideal fluid flow

abstract:
  It is known that the Eulerian and Lagrangian structures of fluid flow can be
drastically different; for example, ideal fluid flow can have a trivial
(static) Eulerian structure, while displaying chaotic streamlines. Here we show
that ideal flow with limited spatial smoothness (an initial vorticity that is
just a little better than continuous), nevertheless has time-analytic
Lagrangian trajectories before the initial limited smoothness is lost. For
proving such results we use a little-known Lagrangian formulation of ideal
fluid flow derived by Cauchy in 1815 in a manuscript submitted for a prize of
the French Academy. This formulation leads to simple recurrence relations among
the time-Taylor coefficients of the Lagrangian map from initial to current
fluid particle positions; the coefficients can then be bounded using elementary
methods. We first consider various classes of incompressible fluid flow,
governed by the Euler equations, and then turn to a case of compressible flow
of cosmological relevance, governed by the Euler-Poisson equations.

categories: math.AP astro-ph.CO math-ph math.MP nlin.CD physics.flu-dyn


title:
The virus of my virus is my friend: ecological effects of virophage with
  alternative modes of coinfection

abstract:
  Virophages are viruses that rely on the replication machinery of other
viruses to reproduce within eukaryotic hosts. Two different modes of
coinfection have been posited based on experimental observation. In one mode,
the virophage and virus enter the host independently. In the other mode, the
virophage adheres to the virus so both virophage and virus enter the host
together. Here we ask: what are the ecological effects of these different modes
of coinfection? In particular, what ecological effects are common to both
infection modes, and what are the differences particular to each mode? We
develop a pair of biophysically motivated ODE models of viral-host population
dynamics, corresponding to dynamics arising from each mode of infection. We
find both modes of coinfection allow for the coexistence of the virophage,
virus, and host either at a stable fixed point or through cyclical dynamics. In
both models, virophage tend to be the most abundant population and their
presence always reduces the viral abundance and increases the host abundance.
However, we do find qualitative differences between models. For example, via
extensive sampling of biologically relevant parameter space, we only observe
bistability when the virophage and virus enter the host together. We discuss
how such differences may be leveraged to help identify modes of infection in
natural environments from population level data.


title: Time in Fundamental Physics

abstract:
  The first three sections of this article contain a broad brush summary of the
profound changes in the notion of time in fundamental physics that were brought
about by three revolutions: the foundations of mechanics distilled by Newton in
his Principia, the discovery of special relativity by Einstein and its
reformulation by Minkowski, and, finally, the fusion of geometry and gravity in
Einstein's general relativity. The fourth section discusses two aspects of yet
another deep revision that waits in the wings as we attempt to unify general
relativity with quantum physics.


title: Global semantic typing for inductive and coinductive computing

abstract:
  Inductive and coinductive types are commonly construed as ontological
(Church-style) types, denoting canonical data-sets such as natural numbers,
lists, and streams. For various purposes, notably the study of programs in the
context of global semantics, it is preferable to think of types as semantical
properties (Curry-style). Intrinsic theories were introduced in the late 1990s
to provide a purely logical framework for reasoning about programs and their
semantic types. We extend them here to data given by any combination of
inductive and coinductive definitions. This approach is of interest because it
fits tightly with syntactic, semantic, and proof theoretic fundamentals of
formal logic, with potential applications in implicit computational complexity
as well as extraction of programs from proofs. We prove a Canonicity Theorem,
showing that the global definition of program typing, via the usual (Tarskian)
semantics of first-order logic, agrees with their operational semantics in the
intended model. Finally, we show that every intrinsic theory is interpretable
in a conservative extension of first-order arithmetic. This means that
quantification over infinite data objects does not lead, on its own, to
proof-theoretic strength beyond that of Peano Arithmetic. Intrinsic theories
are perfectly amenable to formulas-as-types Curry-Howard morphisms, and were
used to characterize major computational complexity classes Their extensions
described here have similar potential which has already been applied.


title:
Quantum phases in the frustrated Heisenberg model on the bilayer
  honeycomb lattice

abstract:
  We use a combination of analytical and numerical techniques to study the
phase diagram of the frustrated Heisenberg model on the bilayer honeycomb
lattice. Using the Schwinger boson description of the spin operators followed
by a mean field decoupling, the magnetic phase diagram is studied as a function
of the frustration coupling $J_{2}$ and the interlayer coupling $J_{\bot}$.
  The presence of both magnetically ordered and disordered phases is
investigated by means of the evaluation of ground-state energy, spin gap, local
magnetization and spin-spin correlations. We observe a phase with a spin gap
and short range N\'eel correlations that survives for non-zero
next-nearest-neighbor interaction and interlayer coupling. Furthermore, we
detect signatures of a reentrant behavior in the melting of N\'eel phase and
symmetry restoring when the system undergoes a transition from an on-layer
nematic valence bond crystal phase to an interlayer valence bond crystal phase.
We complement our work with exact diagonalization on small clusters and
dimer-series expansion calculations, together with a linear spin wave approach
to study the phase diagram as a function of the spin $S$, the frustration and
the interlayer couplings.


title: Symmetry-dependent transport behavior of graphene double dots

abstract:
  By means of an envelope function analysis, we perform a numerical
investigation of the conductance behavior of a graphene structure consisting of
two regions (dots) connected to the entrance and exit leads through
constrictions and separated by a potential barrier. We show that the
conductance of the double dot depends on the symmetry of the structure and that
this effect survives also in the presence of a low level of disorder, in
analogy of what we had previously found for a double dot obtained in a
semiconductor heterostructure. In graphene, this phenomenon is less dramatic
and, in particular, conductance is not enhanced by the addition of symmetric
constrictions with respect to that of the barrier alone.


title:
Some large deviation results for near intermediate random geometric
  graphs

abstract:
  We find large deviation principles for the degree distribution and the
proportion of isolated vertices for the near intermediate random geometric
graph models on n vertices placed uniformly in [0, 1]^d, for d in N. In the
course of the proof of these large deviation results we find joint large
deviation principle for the empirical locality measure of the coloured random
geometric graphs,(Canning & Penman, 2003).


title:
Homological stability for coloured configuration spaces and symmetric
  complements

abstract:
  We prove a homological stability theorem for certain complements of symmetric
spaces. This is a variant of a conjecture by Vakil and Matchett Wood for
subspaces of $\mathrm{Sym}^n(X)$ where $X$ is an open manifold admitting a
boundary. To do this we prove a homological stability result for a type of
"coloured" configuration space by adding points of the same colour.


title:
Large-scale stable interacting dark energy model: Cosmological
  perturbations and observational constraints

abstract:
  Dark energy might interact with cold dark matter in a direct,
nongravitational way. However, the usual interacting dark energy models (with
constant $w$) suffer from some catastrophic difficulties. For example, the
$Q\propto\rho_{\rm c}$ model leads to an early-time large-scale instability,
and the $Q\propto\rho_{\rm de}$ model gives rise to the future unphysical
result for cold dark matter density (in the case of a positive coupling). In
order to overcome these fatal flaws, we propose in this paper an interacting
dark energy model (with constant $w$) in which the interaction term is
carefully designed to realize that $Q\propto\rho_{\rm de}$ at the early times
and $Q\propto\rho_{\rm c}$ in the future, simultaneously solving the early-time
superhorizon instability and future unphysical $\rho_{\rm c}$ problems. The
concrete form of the interaction term in this model is $Q=3\beta H
\frac{\rho_{\rm{de}}\rho_{\rm{c}}}{\rho_{\rm{de}}+\rho_{\rm{c}}}$, where
$\beta$ is the dimensionless coupling constant. We show that this model is
actually equivalent to the decomposed new generalized Chaplygin gas (NGCG)
model, with the relation $\beta=-\alpha w$. We calculate the cosmological
perturbations in this model in a gauge-invariant way and show that the
cosmological perturbations are stable during the whole expansion history
provided that $\beta>0$. Furthermore, we use the Planck data in conjunction
with other astrophysical data to place stringent constraints on this model
(with eight parameters), and we find that indeed $\beta>0$ is supported by the
joint constraint at more than 1$\sigma$ level. The excellent theoretical
features and the support from observations all indicate that the decomposed
NGCG model deserves more attention and further investigation.


title: Total weight choosability in Hypergraphs

abstract:
  A total weighting of the vertices and edges of a hypergraph is called
vertex-coloring if the total weights of the vertices yield a proper coloring of
the graph, i.e., every edge contains at least two vertices with different
weighted degrees. In this note we show that such a weighting is possible if
every vertex has two, and every edge has three weights to choose from,
extending a recent result on graphs to hypergraphs.


title: Detecting Ancient Supernovae at z ~ 5 - 12 with CLASH

abstract:
  Supernovae are important probes of the properties of stars at high redshifts
because they can be detected at early epochs and their masses can be inferred
from their light curves. Finding the first cosmic explosions in the universe
will only be possible with the James Webb Space Telescope, the Wide-Field
Infrared Survey Telescope and the next generation of extremely large
telescopes. But strong gravitational lensing by massive clusters, like those in
the Cluster Lensing and Supernova Survey with Hubble (CLASH), could reveal such
events now by magnifying their flux by factors of 10 or more. We find that
CLASH will likely discover at least 2 - 3 core-collapse supernovae at 5 < z <
12 and perhaps as many as ten. Future surveys of cluster lenses similar in
scope to CLASH by the James Webb Space Telescope might find hundreds of these
events out to z ~ 15 - 17. Besides revealing the masses of early stars, these
ancient supernovae will also constrain cosmic star formation rates in the era
of first galaxy formation.


title: On modular computation of Groebner bases with integer coefficients

abstract:
  Let $I_1\subset I_2\subset\dots$ be an increasing sequence of ideals of the
ring $\Bbb Z[X]$, $X=(x_1,\dots,x_n)$ and let $I$ be their union. We propose an
algorithm to compute the Gr\"obner base of $I$ under the assumption that the
Gr\"obner bases of the ideal $\Bbb Q I$ of the ring $\Bbb Q[X]$ and the the
ideals $I\otimes(\Bbb Z/m\Bbb Z)$ of the rings $(\Bbb Z/m\Bbb Z)[X]$ are known.
  Such an algorithmic problem arises, for example, in the construction of
Markov and semi-Markov traces on cubic Hecke algebras.


title: Borcherds Products Everywhere

abstract:
  We prove the Borcherds Products Everywhere Theorem, Theorem 6.6, that
constructs holomorphic Borcherds Products from certain Jacobi forms that are
theta blocks without theta denominator. The proof uses generalized valuations
from formal series to partially ordered abelian semigroups of closed convex
sets. We present nine infinite families of paramodular Borcherds Products that
are simultaneously Gritsenko lifts. This is the first appearance of infinite
families with this property in the literature.


title: Fixation probabilities on superstars, revisited and revised

abstract:
  Population structures can be crucial determinants of evolutionary processes.
For the Moran process on graphs certain structures suppress selective pressure,
while others amplify it (Lieberman et al. 2005 Nature 433 312-316).
Evolutionary amplifiers suppress random drift and enhance selection. Recently,
some results for the most powerful known evolutionary amplifier, the superstar,
have been invalidated by a counter example (D\'iaz et al. 2013 Proc. R. Soc. A
469 20130193). Here we correct the original proof and derive improved upper and
lower bounds, which indicate that the fixation probability remains close to
$1-1/(r^4 H)$ for population size $N\to\infty$ and structural parameter
$H\gg1$. This correction resolves the differences between the two
aforementioned papers. We also confirm that in the limit $N,H\to\infty$
superstars remain capable of eliminating random drift and hence of providing
arbitrarily strong selective advantages to any beneficial mutation. In
addition, we investigate the robustness of amplification in superstars and find
that it appears to be a fragile phenomenon with respect to changes in the
selection or mutation processes.


title:
Test of the prototype of electron detector for LHAASO project using
  cosmic rays

abstract:
  LHAASO project is to be built in south-west China, which use an array of 5137
election detectors for the measurement of the incident electrons arriving at
the detector plane. For the quality control of the big quantity of electron
detectors, a cosmic ray hodoscope with two-dimensional spacial sensitivity and
good time resolution has been developed. The first prototype of electron
detector is tested with the hodoscope and the performance of the detector is
validated to be consistent with the design.


title: Spreading dynamics in complex networks

abstract:
  Searching for influential spreaders in complex networks is an issue of great
significance for applications across various domains, ranging from the epidemic
control, innovation diffusion, viral marketing, social movement to idea
propagation. In this paper, we first display some of the most important
theoretical models that describe spreading processes, and then discuss the
problem of locating both the individual and multiple influential spreaders
respectively. Recent approaches in these two topics are presented. For the
identification of privileged single spreaders, we summarize several widely used
centralities, such as degree, betweenness centrality, PageRank, k-shell, etc.
We investigate the empirical diffusion data in a large scale online social
community -- LiveJournal. With this extensive dataset, we find that various
measures can convey very distinct information of nodes. Of all the users in
LiveJournal social network, only a small fraction of them involve in spreading.
For the spreading processes in LiveJournal, while degree can locate nodes
participating in information diffusion with higher probability, k-shell is more
effective in finding nodes with large influence. Our results should provide
useful information for designing efficient spreading strategies in reality.


title:
How to enhance the dynamic range of excitatory-inhibitory excitable
  networks

abstract:
  We investigate the collective dynamics of excitatory-inhibitory excitable
networks in response to external stimuli. How to enhance dynamic range, which
represents the ability of networks to encode external stimuli, is crucial to
many applications. We regard the system as a two-layer network (E-Layer and
I-Layer) and explore the criticality and dynamic range on diverse networks.
Interestingly, we find that phase transition occurs when the dominant
eigenvalue of E-layer's weighted adjacency matrix is exactly one, which is only
determined by the topology of E-Layer. Meanwhile, it is shown that dynamic
range is maximized at critical state. Based on theoretical analysis, we propose
an inhibitory factor for each excitatory node. We suggest that if nodes with
high inhibitory factors are cut out from I-Layer, dynamic range could be
further enhanced. However, because of the sparseness of networks and passive
function of inhibitory nodes, the improvement is relatively small compared
tooriginal dynamic range. Even so, this provides a strategy to enhance dynamic
range.


title: A note on the degree-diameter problem for arc-transitive graphs

abstract:
  We give two lower bounds on the largest order of an arc-transitive graph of
diameter two and a given degree.


title: Adaptive two-regime method: application to front propagation

abstract:
  The Adaptive Two-Regime Method (ATRM) is developed for hybrid (multiscale)
stochastic simulation of reaction-diffusion problems. It efficiently couples
detailed Brownian dynamics simulations with coarser lattice-based models. The
ATRM is a generalization of the previously developed Two-Regime Method [Flegg
et al, Journal of the Royal Society Interface, 2012] to multiscale problems
which require a dynamic selection of regions where detailed Brownian dynamics
simulation is used. Typical applications include a front propagation or
spatio-temporal oscillations. In this paper, the ATRM is used for an in-depth
study of front propagation in a stochastic reaction-diffusion system which has
its mean-field model given in terms of the Fisher equation [Fisher, Annals of
Eugenics, 1937]. It exhibits a travelling reaction front which is sensitive to
stochastic fluctuations at the leading edge of the wavefront. Previous studies
into stochastic effects on the Fisher wave propagation speed have focused on
lattice-based models, but there has been limited progress using off-lattice
(Brownian dynamics) models, which suffer due to their high computational cost,
particularly at the high molecular numbers that are necessary to approach the
Fisher mean-field model. By modelling only the wavefront itself with the
off-lattice model, it is shown that the ATRM leads to the same Fisher wave
results as purely off-lattice models, but at a fraction of the computational
cost. The error analysis of the ATRM is also presented for a morphogen gradient
model.


title:
Resource Redistribution under Lack of Information: Short-Term Recovery
  after Large Scale Disasters

abstract:
  The paper is devoted to the problem of disaster mitigation. It develops an
emergent mechanism of resource redistribution aimed at recovering of a
socio-technological system affected by a large scale disaster. The basic
requirements to the short-term recovery are taken into account in constructing
this mechanism. The system at hand consists of many individual units (cities)
and the mechanism is based on their cooperative interaction, which makes the
resource redistribution efficient regardless of the particular position of
affected region. Previously we studied the dynamics of supply process governed
by this mechanism when all the information about the system is available and
actual from the beginning of the process (V. Lubashevskiy, T. Kanno, K. Furuta,
arXiv:1310.0648). In the present paper we analyze the effects of lack of
information on the resource delivery rate. Two scenarios of the lack of
information are allowed for. The first one is the delay of the information
about the city states. The second one is its incompleteness. As a result of
simulation, it is demonstrated that the duration of the resource redistribution
governed by the developed mechanism is weakly affected by the lack of
information.


title: Minkowski sum of polytopes and its normality

abstract:
  In this paper, we consider the normality or the integer decomposition
property (IDP, for short) for Minkowski sums of integral convex polytopes. We
discuss some properties on the toric rings associated with Minkowski sums of
integral convex polytopes. We also study Minkowski sums of edge polytopes and
give a sufficient condition for Minkowski sums of edge polytopes to have IDP.


title: Model Based Bootstrap Methods for Interval Censored Data

abstract:
  We investigate the performance of model based bootstrap methods for
constructing point-wise confidence intervals around the survival function with
interval censored data. We show that bootstrapping from the nonparametric
maximum likelihood estimator of the survival function is inconsistent for both
the current status and case 2 interval censoring models. A model based smoothed
bootstrap procedure is proposed and shown to be consistent. In addition,
simulation studies are conducted to illustrate the (in)-consistency of the
bootstrap methods. Our conclusions in the interval censoring model would extend
more generally to estimators in regression models that exhibit non-standard
rates of convergence.


title: Checkerboard embeddings of *-graphs into nonorientable surfaces

abstract:
  This paper considers *-graphs in which all vertices have degree 4 or 6, and
studies the question of calculating the genus of nonorientable surfaces into
which such graphs may be embedded. In a previous paper by the authors, the
problem of calculating whether a given *-graph in which all vertices have
degree 4 or 6 admits a Z2-homologically trivial embedding into a given
orientable surface was shown to be equivalent to a problem on matrices. Here we
extend those results to nonorientable surfaces. The embeddability condition
that we obtain yields quadratic-time algorithms to determine whether a *-graph
with all vertices of degree 4 or 6 admits a Z2-homologically trivial embedding
into the projective plane or into the Klein bottle.


title:
Dynamical Skyrmion State in a Spin Current Nano-Oscillator with
  Perpendicular Magnetic Anisotropy

abstract:
  We study the spectral characteristics of spin current nano-oscillators based
on the Pt/[Co/Ni] magnetic multilayer with perpendicular magnetic anisotropy.
By varying the applied magnetic field and current, both localized and
propagating spin wave modes of the oscillation are achieved. At small fields,
we observe an abrupt onset of the modulation sidebands. We use micromagnetic
simulations to identify this state as a dynamical magnetic skyrmion stabilized
in the active device region by spin current injection, whose current-induced
dynamics is accompanied by the gyrotropic motion of the core due to the skew
deflection. Our results demonstrate a practical route for controllable skyrmion
manipulation by spin current in magnetic thin films.


title: Relation Between Surface Codes and Hypermap-Homology Quantum Codes

abstract:
  Recently, a new class of quantum codes based on hypermaps were proposed.
These codes are obtained from embeddings of hypergraphs as opposed to surface
codes which are obtained from the embeddings of graphs. It is natural to
compare these two classes of codes and their relation to each other. In this
context two related questions are addressed in this paper: Can the parameters
of hypermap-homology codes be superior to those of surface codes and what is
precisely the relation between these two classes of quantum codes? We show that
a canonical hypermap code is identical to a surface code while a noncanonical
hypermap code can be transformed to a surface code by CNOT gates alone. Our
approach is constructive; we construct the related surface code and the
transformation involving CNOT gates.


title: A New Approach toward Transition State Spectroscopy

abstract:
  Chirped-Pulse millimetre-Wave (CPmmW) rotational spectroscopy provides a new
class of information about photolysis transition state(s). Measured intensities
in rotational spectra determine species-isomer-vibrational populations,
provided that rotational populations can be thermalized. The formation and
detection of S0 vinylidene is discussed in the limits of low and high initial
rotational excitation. CPmmW spectra of 193 nm photolysis of Vinyl Cyanide
(Acrylonitrile) contain J=0-1 transitions in more than 20 vibrational levels of
HCN, HNC, but no transitions in vinylidene or highly excited local-bender
vibrational levels of acetylene. Reasons for the non-observation of the
vinylidene co-product of HCN are discussed.


title:
Rydberg dressing: Understanding of collective many-body effects and
  implications for experiments

abstract:
  The strong interaction between Rydberg atoms can be used to control the
strength and character of the interatomic interaction in ultracold gases by
weakly dressing the atoms with a Rydberg state. Elaborate theoretical proposals
for the realization of various complex phases and applications in quantum
simulation exist. Also a simple model has been already developed that describes
the basic idea of Rydberg dressing in a two-atom basis. However, an
experimental realization has been elusive so far. We present a model describing
the ground state of a Bose-Einstein condensate dressed with a Rydberg level
based on the Rydberg blockade. This approach provides an intuitive
understanding of the transition from pure twobody interaction to a regime of
collective interactions. Furthermore it enables us to calculate the deformation
of a three-dimensional sample under realistic experimental conditions in
mean-field approximation. We compare full three-dimensional numerical
calculations of the ground state to an analytic expression obtained within
Thomas-Fermi approximation. Finally we discuss limitations and problems arising
in an experimental realization of Rydberg dressing based on our experimental
results. Our work enables the reader to straight forwardly estimate the
experimental feasibility of Rydberg dressing in realistic three-dimensional
atomic samples.


title:
13C(alpha,n)16O background in a liquid scintillator based neutrino
  experiment

abstract:
  Alpha from natural radioactivity may interact with a nucleus and emit a
neutron. The reaction introduces background to the liquid scintillator (LS)
based neutrino experiments. In the LS detector, alpha comes from 238U, 232Th
and 210Po decay chains. For Gadolinium-doped LS (Gd-LS) detector, alpha also
comes from 227Ac. The nucleus 13C is a natural component of Carbon which is
rich in the LS. The background rate and spectrum should be subtracted carefully
from the neutrino candidates. This paper describes the calculation of neutron
yield and spectrum with uncertainty estimated. The results are relevant for
many existing neutrino experiments and future LS or Gd-LS based experiments.


title: Higher-order accuracy of multiscale-double bootstrap for testing regions

abstract:
  We consider hypothesis testing for the null hypothesis being represented as
an arbitrary-shaped region in the parameter space. We compute an approximate
p-value by counting how many times the null hypothesis holds in bootstrap
replicates. This frequency, known as bootstrap probability, is widely used in
evolutionary biology, but often reported as biased in the literature. Based on
the asymptotic theory of bootstrap confidence intervals, there have been some
new attempts for adjusting the bias via bootstrap probability without direct
access to the parameter value. One such an attempt is the double bootstrap
which adjusts the bias by bootstrapping the bootstrap probability. Another new
attempt is the multiscale bootstrap which is similar to the m-out-of-n
bootstrap but very unusually extrapolating the bootstrap probability to $m=-n$.
In this paper, we employ these two attempts at the same time, and call the new
procedure as multiscale-double bootstrap. By focusing on the multivariate
normal model, we investigate higher-order asymptotics up to fourth-order
accuracy. Geometry of the region plays important roles in the asymptotic
theory. It was known in the literature that the curvature of the boundary
surface of the region determines the bias of bootstrap probability. We found
out that the curvature-of-curvature determines the remaining bias of double
bootstrap. The multiscale bootstrap removes these biases. The multiscale-double
bootstrap is fourth order accurate with coverage probability erring only
$O(n^{-2})$, and it is robust against computational error of parameter
estimation used for generating bootstrap replicates from the null distribution.


title: The Sybil Attacks and Defenses: A Survey

abstract:
  In this paper we have a close look at the Sybil attack and advances in
defending against it, with particular emphasis on the recent work. We identify
three major veins of literature work to defend against the attack: using
trusted certification, using resources testing, and using social networks. The
first vein of literature considers defending against the attack using trusted
certification, which is done by either centralized certification or distributed
certification using cryptographic primitives that can replace the centralized
certification entity. The second vein of literature considers defending against
the attack by resources testing, which can by in the form of IP testing,
network coordinates, recurring cost as by requiring clients to solve puzzles.
The third and last vein of literature is by mitigating the attack combining
social networks used as bootstrapping security and tools from random walk
theory that have shown to be effective in defending against the attack under
certain assumptions. Our survey and analyses of the different schemes in the
three veins of literature show several shortcomings which form several
interesting directions and research questions worthy of investigation.


title: Sparse Portfolio Selection via Quasi-Norm Regularization

abstract:
  In this paper, we propose $\ell_p$-norm regularized models to seek
near-optimal sparse portfolios. These sparse solutions reduce the complexity of
portfolio implementation and management. Theoretical results are established to
guarantee the sparsity of the second-order KKT points of the $\ell_p$-norm
regularized models. More interestingly, we present a theory that relates
sparsity of the KKT points with Projected correlation and Projected Sharpe
ratio. We also design an interior point algorithm to obtain an approximate
second-order KKT solution of the $\ell_p$-norm models in polynomial time with a
fixed error tolerance, and then test our $\ell_p$-norm modes on S&P 500
(2008-2012) data and international market data.\ The computational results
illustrate that the $\ell_p$-norm regularized models can generate portfolios of
any desired sparsity with portfolio variance and portfolio return comparable to
those of the unregularized Markowitz model with cardinality constraint. Our
analysis of a combined model lead us to conclude that sparsity is not directly
related to overfitting at all. Instead, we find that sparsity moderates
overfitting only indirectly. A combined $\ell_1$-$\ell_p$ model shows that the
proper choose of leverage, which is the amount of additional buying-power
generated by selling short can mitigate overfitting; A combined
$\ell_2$-$\ell_p$ model is able to produce extremely high performing portfolios
that exceeded the 1/N strategy and all $\ell_1$ and $\ell_2$ regularized
portfolios.


title: Depletion interaction between two ellipsoids

abstract:
  The depletion interactions between two ellipsoids in three configurations
were studied by both Monte Carlo simulation with the Wang-Landau algorithm and
the density functional theory in the curvature expansion approximation. Common
features of the depletion interactions were found and the results were as
expected. By comparing the results of the two methods, it is concluded that
density functional theory under the curvature expansion approximation gave very
good results to the depletion forces.