title: Nonlinear parabolic problems in Musielak--Orlicz spaces

abstract:
  Our studies are directed to the existence of weak solutions to a parabolic
problem containing a multi-valued term. The problem is formulated in the
language of maximal monotone graphs. We assume that the growth and coercivity
conditions of a nonlinear term are prescribed by means of time and space
dependent $N$--function. This results in formulation of the problem in
generalized Musielak-Orlicz spaces. We are using density arguments, hence an
important step of the proof is a uniform boundedness of appropriate convolution
operators in Musielak-Orlicz spaces. For this purpose we shall need to assume a
kind of logarithmic H\"older regularity with respect to $t$ and $x$.


title: Metric Dimension for Gabriel Unit Disk Graphs is NP-Complete

abstract:
  We show that finding a minimal number of landmark nodes for a unique virtual
addressing by hop-distances in wireless ad-hoc sensor networks is NP-complete
even if the networks are unit disk graphs that contain only Gabriel edges. This
problem is equivalent to Metric Dimension for Gabriel unit disk graphs. The
Gabriel edges of a unit disc graph induce a planar O(\sqrt{n}) distance and an
optimal energy spanner. This is one of the most interesting restrictions of
Metric Dimension in the context of wireless multi-hop networks.


title: Market-wide price co-movement around crashes in the Tokyo Stock Exchange

abstract:
  As described in this paper, we study market-wide price co-movements around
crashes by analyzing a dataset of high-frequency stock returns of the
constituent issues of Nikkei 225 Index listed on the Tokyo Stock Exchange for
the three years during 2007--2009. Results of day-to-day principal component
analysis of the time series sampled at the 1 min time interval during the
continuous auction of the daytime reveal the long range up to a couple of
months significant auto-correlation of the maximum eigenvalue of the
correlation matrix, which express the intensity of market-wide co-movement of
stock prices. It also strongly correlates with the open-to-close intraday
return and daily return of Nikkei 225 Index. We also study the market mode,
which is the first principal component corresponding to the maximum eigenvalue,
in the framework of Multi-fractal random walk model. The parameter of the model
estimated in a sliding time window, which describes the covariance of the
logarithm of the stochastic volatility, grows before almost all large intraday
price declines of less than -5%. This phenomenon signifies the upwelling of the
market-wide collective behavior before the crash, which might reflect a herding
of market participants.


title:
Natural optical activity and its control by electric field in
  electrotoroidic systems

abstract:
  We propose the existence, via analytical derivations, novel phenomenologies,
and first-principles-based simulations, of a new class of materials that are
not only spontaneously optically active, but also for which the sense of
rotation can be switched by an electric field applied to them-- via an induced
transition between the dextrorotatory and laevorotatory forms. Such systems
possess electric vortices that are coupled to a spontaneous electrical
polarization. Furthermore, our atomistic simulations provide a deep microscopic
insight into, and understanding of, this class of naturally optically active
materials.


title: Remarks on global regularity of 2D generalized MHD equations

abstract:
  In this paper, we investigate the global regularity of 2D generalized MHD
equations, in which the dissipation term and magnetic diffusion term are
$\nu(-\Delta)^\alpha u$ and $\eta (-\Delta)^\beta b$ respectively. Let $(u_{0},
b_{0})\in H^{s}$ with $s\geq2$, it is showed that the smooth solution
$(u(x,t),b(x,t))$ is globally regular for the case $ 0\leq\alpha\leq\{1}{2},
\alpha+\beta > \{3}{2}$.


title:
On the iteratively regularized Gauss--Newton method in Banach spaces
  with applications to parameter identification problems

abstract:
  In this paper we propose an extension of the iteratively regularized
Gauss--Newton method to the Banach space setting by defining the iterates via
convex optimization problems. We consider some a posteriori stopping rules to
terminate the iteration and present the detailed convergence analysis. The
remarkable point is that in each convex optimization problem we allow
non-smooth penalty terms including $L^1$ and total variation (TV) like penalty
functionals. This enables us to reconstruct special features of solutions such
as sparsity and discontinuities in practical applications. Some numerical
experiments on parameter identification in partial differential equations are
reported to test the performance of our method.


title:
Eliminating Spurious Velocities with a Stable Approximation of Viscous
  Incompressible Two-Phase Stokes Flow

abstract:
  We present a parametric finite element approximation of two-phase flow. This
free boundary problem is given by the Stokes equations in the two phases, which
are coupled via jump conditions across the interface. Using a novel variational
formulation for the interface evolution gives rise to a natural discretization
of the mean curvature of the interface. In addition, the mesh quality of the
parametric approximation of the interface does not deteriorate, in general,
over time; and an equidistribution property can be shown for a semidiscrete
continuous-in-time variant of our scheme in two space dimensions. Moreover, on
using a simple XFEM pressure space enrichment, we obtain exact volume
conservation for the two phase regions. Furthermore, our fully discrete finite
element approximation can be shown to be unconditionally stable. We demonstrate
the applicability of our method with some numerical results which, in
particular, demonstrate that spurious velocities can be avoided in the
classical test cases.


title: On Firing Rate Estimation for Dependent Interspike Intervals

abstract:
  If interspike intervals are dependent the instantaneous firing rate does not
catch important features of spike trains. In this case the conditional
instantaneous rate plays the role of the instantaneous firing rate for the case
of samples of independent interspike intervals. If the conditional distribution
of the interspikes intervals is unknown, it becomes difficult to evaluate the
conditional firing rate. We propose a non parametric estimator for the
conditional instantaneous firing rate for Markov, stationary and ergodic ISIs.
An algorithm to check the reliability of the proposed estimator is introduced
and its consistency properties are proved. The method is applied to data
obtained from a stochastic two compartment model and to in vitro experimental
data.


title: Adaptive Noisy Clustering

abstract:
  The problem of adaptive noisy clustering is investigated. Given a set of
noisy observations $Z_i=X_i+\epsilon_i$, $i=1,...,n$, the goal is to design
clusters associated with the law of $X_i$'s, with unknown density $f$ with
respect to the Lebesgue measure. Since we observe a corrupted sample, a direct
approach as the popular {\it $k$-means} is not suitable in this case. In this
paper, we propose a noisy $k$-means minimization, which is based on the
$k$-means loss function and a deconvolution estimator of the density $f$. In
particular, this approach suffers from the dependence on a bandwidth involved
in the deconvolution kernel. Fast rates of convergence for the excess risk are
proposed for a particular choice of the bandwidth, which depends on the
smoothness of the density $f$.
  Then, we turn out into the main issue of the paper: the data-driven choice of
the bandwidth. We state an adaptive upper bound for a new selection rule,
called ERC (Empirical Risk Comparison). This selection rule is based on the
Lepski's principle, where empirical risks associated with different bandwidths
are compared. Finally, we illustrate that this adaptive rule can be used in
many statistical problems of $M$-estimation where the empirical risk depends on
a nuisance parameter.


title:
Detection of Outer Rotations on 3D-Vector Fields with Iterative
  Geometric Correlation

abstract:
  Correlation is a common technique for the detection of shifts. Its
generalization to the multidimensional geometric correlation in Clifford
algebras has proven a useful tool for color image processing, because it
additionally contains information about rotational misalignment. In this paper
we prove that applying the geometric correlation iteratively can detect the
outer rotational misalignment for arbitrary three-dimensional vector fields.
Thus, it develops a foundation applicable for image registration and pattern
matching. Based on the theoretical work we have developed a new algorithm and
tested it on some principle examples.


title: Warming up D3 brane motion in the background of D5 brane and Inflation

abstract:
  The position of a mobile D-3 brane moving towards a stack of localized D-5
branes has been studied as a candidate driving inflation in the warm
inflationary scenario. We compare the results obtained by considering the
dissipation parameter $\Gamma$ as an arbitrary function of only the inflaton
field and a particular form derived by Bastro-Gil et al \cite{Berera8}. We find
that the observables remain well within the recent observational constraint for
a wide range of model parameters for the first case whereas the spectral index
in the later case is always predicted blue, other cosmological observables
remaining well within bound for a wider range of parameters though. We also
discuss the non-gaussianity generated during inflation in this model.


title: On the rank of higher inclusion matrices

abstract:
  Let r >= s >= 0 be integers and G be an r-graph. The higher inclusion matrix
M_s^r(G) is a {0,1}-matrix with rows indexed by the edges of G and columns
indexed by the subsets of V(G) of size s: the entry corresponding to an edge e
and a subset S is 1 if S is contained in e and 0 otherwise. Following a
question of Frankl and Tokushige and a result of Keevash, we define the
rank-extremal function rex(n,t,r,s) as the maximum number of edges of an
r-graph G having rank M_s^r(G) <=\binom{n}{s} - t. For t at most linear in n we
determine this function as well as the extremal r-graphs. The special case t=1
answers a question of Keevash.


title: Cosmic-Ray Positron Identification with the PAMELA experiment

abstract:
  The PAMELA satellite borne experiment is designed to study cosmic rays with
great accuracy in a wide energy range. One of PAMELA's main goal is the study
of the antimatter component of cosmic rays. The experiment, housed on board the
Russian satellite Resurs-DK1, was launched on June 15th 2006 and it is still
taking data. In this work we present the measurement of galactic positron
energy spectrum in the energy range between 500 MeV and few hundred GeV.


title:
Solving Poisson's equation for the standard weighted Laplacian in the
  unit disc

abstract:
  We will find Green's function for the standard weighted Laplacian and use the
corresponding Green's potential to solve Poisson's equation in the unit disc
with zero boundary values, in the sense of radial $L^1$-means, for complex
Borel measures $\mu$ satisfying the condition $\int_\mathbb{D}
(1-|w|^2)^{\alpha+1} d|\mu|(w) < \infty$ for $\alpha>-1$.


title:
High-Accuracy Analysis of Compton Scattering in Chiral Effective Field
  Theory: Status and Future

abstract:
  Theory and prospects of Compton scattering on nucleons and light nuclei below
500 MeV are outlined; cf. Refs. [1-3]. Invited contribution at the Workshop to
Explore Physics Opportunities with Intense, Polarized Electron Beams with
Energy up to 300 MeV, MIT, Cambridge (USA), 14th-16th March 2013.


title:
Detection of Total Rotations on 2D-Vector Fields with Geometric
  Correlation

abstract:
  Correlation is a common technique for the detection of shifts. Its
generalization to the multidimensional geometric correlation in Clifford
algebras additionally contains information with respect to rotational
misalignment. It has been proven a useful tool for the registration of vector
fields that differ by an outer rotation. In this paper we proof that applying
the geometric correlation iteratively has the potential to detect the total
rotational misalignment for linear two-dimensional vector fields. We further
analyze its effect on general analytic vector fields and show how the rotation
can be calculated from their power series expansions.


title: Imperfect Construction of Microclusters

abstract:
  Microclusters are the basic building blocks used to construct cluster states
capable of supporting fault-tolerant quantum computation. In this paper, we
explore the consequences of errors on microcluster construction using two error
models. To quantify the effect of the errors we calculate the fidelity of the
constructed microclusters and the fidelity with which two such microclusters
can be fused together. Such simulations are vital for gauging the capability of
an experimental system to achieve fault tolerance.


title: On the Green-Kubo relationship of the liquid-solid friction coefficient

abstract:
  In this paper, we propose a new derivation for the Green-Kubo relationship
for the liquid-solid friction coefficient, characterizing hydrodynamic slippage
at a wall. It is based on a general Langevin approach for the fluctuating wall
velocity, involving a non-markovian memory kernel with vanishing time integral.
The calculation highlights some subtleties of the wall-liquid dynamics, leading
to superdiffusive motion of the fluctuating wall position.


title: First experimental realization of the Dirac oscillator

abstract:
  We present the first experimental microwave realization of the
one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic
systems. The experiment relies on a relation of the Dirac oscillator to a
corresponding tight-binding system. This tight-binding system is implemented as
a microwave system by a chain of coupled dielectric disks, where the coupling
is evanescent and can be adjusted appropriately. The resonances of the finite
microwave system yields the spectrum of the one-dimensional Dirac oscillator
with and without mass term. The flexibility of the experimental set-up allows
the implementation of other one-dimensional Dirac type equations.


title:
Observation of Rb Two-Photon Absorption Directly Excited by an
  Erbium-Fiber-Laser-Based Optical Frequency Comb via Spectral Control

abstract:
  We demonstrated the observation of Rb two-photon absorption directly excided
by an optical frequency comb at fiber communication bands. A chain of comb
spectral control is elaborately implemented to increase the power of the second
harmonic optical frequency comb generation and the two-photon transition
strength. A two-photon transition spectrum is obtained with clearly resolved
transition lines. It provides a potential approach to realize the optical
frequency comb or optical clock at ~1.5{\mu}m with high stability and accuracy.


title: Neoclassical Theory of Elementary Charges with Spin of 1/2

abstract:
  We advance here our neoclassical theory of elementary charges by integrating
into it the concept of spin of 1/2. The developed spinorial version of our
theory has many important features identical to those of the Dirac theory such
as the gyromagnetic ratio, expressions for currents including the spin current,
and antimatter states. In our theory the concepts of charge and anticharge
relate naturally to their "spin" in its rest frame in two opposite directions.
An important difference with the Dirac theory is that both the charge and
anticharge energies are positive whereas their frequencies have opposite signs.


title:
In-in formalism on tunneling background: multi-dimensional quantum
  mechanics

abstract:
  We reformulate quantum tunneling in a multi-dimensional system where the
tunneling sector is non-linearly coupled to oscillators. The WKB wave function
is explicitly constructed under the assumption that the system was in the
ground state before tunneling. We find that the quantum state after tunneling
can be expressed in the language of the conventional in-in formalism. Some
implications of the result to cosmology are discussed.


title:
A symmetry property for q-weighted Robinson-Schensted algorithms and
  other branching insertion algorithms

abstract:
  In O'Connell-Pei(2013) a q-weighted version of the Robinson-Schensted
algorithm was introduced. In this paper we show that this algorithm has a
symmetry property analogous to the well known symmetry property of the normal
Robinson-Schensted algorithm. The proof uses a generalisation of the growth
diagram approach introduced by Fomin(1979,1986,1994,1995). This approach, which
uses "growth graphs", can also be applied to a wider class of insertion
algorithms which have a branching structure, including some of the other
q-weighted versions of the Robinson-Schensted algorithm which have recently
been introduced by Borodin-Petrov(2013).


title:
Attosecond Magnetic Field Pulse Generation by Intense Few Cycle
  Circularly Polarized UV Pulses

abstract:
  Intense attosecond magnetic field pulses are predicted to be produced by
intense few cycle circularly polarized UV pulses. Numerical solutions of the
time dependent Schr\"{o}dinger equation for H$_2^+$ are used to study the
dynamical process. Spiralling attosecond circular electron wave packets are
created with nanometer molecular dimensions, thus generating magnetic fields of
several tens of Teslas ($10^5$ Gauss). Simulations show that the induced
magnetic field is critically dependent on the pulse wavelength $\lambda$ and
pulse duration $n\tau$ ($n$ number of cycle) as predicted by a classical model.
For ultrashort few cycle circularly polarized attosecond pulses, molecular
orientation influences the generation of the induced magnetic fields as a
result of preferential ionization perpendicular to the molecular axis.


title: The action on cohomology by compositions of rational maps

abstract:
  We use intuitive results from algebraic topology and intersection theory to
clarify the pullback action on cohomology by compositions of rational maps. We
use these techniques to prove a simple sufficient criterion for functoriality
of a composition of two rational maps on all degrees of cohomology and we then
reprove the criteria of Diller-Favre, Bedford-Kim, and Dinh-Sibony. We conclude
with a cautionary example.


title:
A high-resolution mm and cm study of the obscured LIRG NGC 4418 - A
  compact obscured nucleus fed by in-falling gas?

abstract:
  The aim of this study is to constrain the dynamics, structure and feeding of
the compact nucleous of NGC4418, and to reveal the nature of the main hidden
power source: starburst or AGN. We obtained high spatial resolution
observations of NGC4418 at 1.4 and 5 GHz with MERLIN, and at 230 and 270 GHz
with the SMA very extended configuration. We use the continuum morphology and
flux density to estimate the size of the emitting region, the star formation
rate and the dust temperature. Emission lines are used to study the kinematics
through position-velocity diagrams. Molecular emission is studied with
population diagrams and by fitting an LTE synthetic spectrum. We detect bright
1mm line emission from CO, HC3N, HNC and C34S, and 1.4 GHz absorption from HI.
The CO 2-1 emission and HI absorption can be fit by two velocity components at
2090 and 2180 km s-1. We detect vibrationally excited HC3N and HNC, with Tvib
300K. Molecular excitation is consistent with a layered temperature structure,
with three main components at 80, 160 and 300 K. For the hot component we
estimate a source size of less than 5 pc. The nuclear molecular gas surface
density of 1e4 Msun pc-2 is extremely high, and similar to that found in the
ultra-luminous infrared galaxy (ULIRG) Arp220. Our observations confirm the the
presence of a molecular and atomic in-flow, previously suggested by Herschel
observations, which is feeding the activity in the center of NGC4418. Molecular
excitation confirms the presence of a very compact, hot dusty core. If a
starburst is responsible for the observed IR flux, this has to be at least as
extreme as the one in Arp220, with an age of 3-10 Myr and a star formation rate
>10 Msun yr-1. If an AGN is present, it must be extremely Compton-thick.


title:
A mesoscopic model for the rheology of soft amorphous solids, with
  application to mi- crochannel flows

abstract:
  We study a mesoscopic model for the flow of amorphous solids. The model is
based on the key features identified at the microscopic level, namely peri- ods
of elastic deformation interspersed with localised rearrangements of parti-
cles that induce long-range elastic deformation. These long-range deformations
are derived following a continuum mechanics approach, in the presence of solid
boundaries, and are included in full in the model. Indeed, they mediate spatial
cooperativity in the flow, whereby a localised rearrangement may lead a distant
region to yield. In particular, we simulate a channel flow and find
manifestations of spatial cooperativity that are consistent with published
experimental obser- vations for concentrated emulsions in microchannels. Two
categories of effects are distinguished. On the one hand, the coupling of
regions subject to different shear rates, for instance,leads to finite shear
rate fluctuations in the seemingly un- sheared "plug" in the centre of the
channel. On the other hand, there is convinc- ing experimental evidence of a
specific rheology near rough walls. We discuss diverse possible physical
origins for this effect, and we suggest that it may be associated with the
bumps of particles into surface asperities as they slide along the wall.


title:
Stimulated Raman Adiabatic Passage via bright state in Lambda medium of
  unequal oscillator strengths

abstract:
  We consider the population transfer process in a Lambda-type atomic medium of
unequal oscillator strengths by stimulated Raman adiabatic passage via
bright-state (b-STIRAP) taking into account propagation effects. Using both
analytic and numerical methods we show that the population transfer efficiency
is sensitive to the ratio q_p/q_s of the transition oscillator strengths. We
find that the case q_p>q_s is more detrimental for population transfer process
as compared to the case where $q_p \leq q_s$. For this case it is possible to
increase medium dimensions while permitting efficient population transfer. A
criterion determining the interaction adiabaticity in the course of propagation
process is found. We also show that the mixing parameter characterizing the
population transfer propagates superluminally.


title:
Stable higher order finite-difference schemes for stellar pulsation
  calculations

abstract:
  Context: Calculating stellar pulsations requires a sufficient accuracy to
match the quality of the observations. Many current pulsation codes apply a
second order finite-difference scheme, combined with Richardson extrapolation
to reach fourth order accuracy on eigenfunctions. Although this is a simple and
robust approach, a number of drawbacks exist thus making fourth order schemes
desirable. A robust and simple finite-difference scheme, which can easily be
implemented in either 1D or 2D stellar pulsation codes is therefore required.
  Aims: One of the difficulties in setting up higher order finite-difference
schemes for stellar pulsations is the so-called mesh-drift instability. Current
ways of dealing with this defect include introducing artificial viscosity or
applying a staggered grids approach. However these remedies are not well-suited
to eigenvalue problems, especially those involving non-dissipative systems,
because they unduly change the spectrum of the operator, introduce
supplementary free parameters, or lead to complications when applying boundary
conditions.
  Methods: We propose here a new method, inspired from the staggered grids
strategy, which removes this instability while bypassing the above
difficulties. Furthermore, this approach lends itself to superconvergence, a
process in which the accuracy of the finite differences is boosted by one
order.
  Results: This new approach is shown to be accurate, flexible with respect to
the underlying grid, and able to remove mesh-drift.


title:
Convective Amplification of Electromagnetic Ion Cyclotron Waves From
  Ring-distribution Protons in the Inner Magnetosphere

abstract:
  The growth of electromagnetic ion cyclotron waves (EMIC) due to a ring
distribution of Hydrogen ions is examined. Though these distributions are more
commonly implicated in the generation of equatorial noise, their potential for
exciting EMIC waves is considered here. It is shown that since the ring
distribution is non-monotonic in perpendicular velocity, the amplification
achieved by this instability is greater than bi-Maxwellian distributions for
typical anisotropies, because the waves can maintain resonance over a much
longer part of its trajectory. For ring speeds V_R close to the Alfven speed
V_A, the growth rate is maximum at parallel propagation but is much larger at
oblique angles compared with a bi-Maxwellian, and can have a second peak
approximately at kperp c/omegaPH V_R/V_A ~2.3 for ring speeds about the
parallel thermal speed. Strong wave gain is achieved for moderate ring speeds
V_R~V_A . The analysis suggests that EMIC wave activity should be closely
associated with equatorial noise.


title:
Angular Preisach analysis of Hysteresis loops and FMR lineshapes of
  ferromagnetic nanowire arrays

abstract:
  Preisach analysis is applied to the study of hysteresis loops measured for
different angles between the applied magnetic field and the common axis of
ferromagnetic Nickel nanowire arrays. When extended to Ferromagnetic Resonance
(FMR) lineshapes, with same set of parameters extracted from the corresponding
hysteresis loops, Preisach analysis shows that a different distribution of
interactions or coercivities ought to be used in order to explain experimental
results. Inspecting the behavior of hysteresis loops and FMR linewidth versus
field angle, we infer that angular dependence might be exploited in angle
sensing devices that could compete with Anisotropic (AMR) or Giant
Magnetoresistive (GMR) based devices.


title:
Multi-parameter complexity analysis for constrained size graph problems:
  using greediness for parameterization

abstract:
  We study the parameterized complexity of a broad class of problems called
"local graph partitioning problems" that includes the classical fixed
cardinality problems as max k-vertex cover, k-densest subgraph, etc. By
developing a technique "greediness-for-parameterization", we obtain fixed
parameter algorithms with respect to a pair of parameters k, the size of the
solution (but not its value) and \Delta, the maximum degree of the input graph.
In particular, greediness-for-parameterization improves asymptotic running
times for these problems upon random separation (that is a special case of
color coding) and is more intuitive and simple. Then, we show how these results
can be easily extended for getting standard-parameterization results (i.e.,
with parameter the value of the optimal solution) for a well known local graph
partitioning problem.


title: An Application of Periodic Unfolding on Manifolds

abstract:
  We show how the newly developed method of Periodic Unfolding on Riemannian
manifolds can be applied to PDE problems: We consider the homogenization of an
elliptic model problem. In the limit, we obtain a generalization of the
well-known limit- and cell-problem. By constructing an equivalence relation of
atlases, one can show the invariance of the limit problem with respect to this
equivalence relation. This implies e.g. that the homogenization limit is
independent of change of coordinates or scalings of the reference cell.


title:
Spectroscopic observations of blue stars with infrared excesses in NGC
  6611

abstract:
  The young open cluster NGC 6611 includes among its candidate members a class
of peculiar objects with interesting properties: blue stars with infrared IR
excesses. These stars show excesses in IR bands, signature of the presence of a
circumstellar disk, but optical colors typical of older field stars. In order
to confirm their membership to the cluster, it is therefore important to use
new spectroscopic observations, together with previous photometric data. We aim
at confirming the membership of these objects and at investigating their
physical properties to verify whether the observed colors are intrinsic or
altered by the presence of the disk or by the accretion processes. We analyze
the intermediate resolution spectroscopic data obtained for a subsample of blue
stars in NGC 6611 with FLAMES. In particular, we focus on the study of: 1) the
profile of the Ha emission line, to select stars with accretion and outflow
activity; 2) the Li absorption line, used as a youth indicator; 3) the radial
velocity. Using the spectroscopic analysis, it has been possible to investigate
the presence of the Li absorption line as well as to discriminate between stars
with inert or active disk. In particular, from the analysis of the Ha emission
line we were able to infer the activity due to the accretion and outflow
processes and the variability of the emission. We also investigated the
binarity of the blue stars and their membership to NGC 6611.


title:
Mixing and Transport of Short-Lived and Stable Isotopes and Refractory
  Grains in Protoplanetary Disks

abstract:
  Analyses of primitive meteorites and cometary samples have shown that the
solar nebula must have experienced a phase of large-scale outward transport of
small refractory grains as well as homogenization of initially spatially
heterogeneous short-lived isotopes. The stable oxygen isotopes, however, were
able to remain spatially heterogenous at the $\sim$ 6% level. One promising
mechanism for achieving these disparate goals is the mixing and transport
associated with a marginally gravitationally unstable (MGU) disk, a likely
cause of FU Orionis events in young low-mass stars. Several new sets of MGU
models are presented that explore mixing and transport in disks with varied
masses (0.016 to 0.13 $M_\odot$) around stars with varied masses (0.1 to 1
$M_\odot$) and varied initial $Q$ stability minima (1.8 to 3.1). The results
show that MGU disks are able to rapidly (within $\sim 10^4$ yr) achieve
large-scale transport and homogenization of initially spatially heterogeneous
distributions of disk grains or gas. In addition, the models show that while
single-shot injection heterogeneity is reduced to a relatively low level
($\sim$ 1%), as required for early solar system chronometry, continuous
injection of the sort associated with the generation of stable oxygen isotope
fractionations by UV photolysis leads to a sustained, relatively high level
($\sim$ 10%) of heterogeneity, in agreement with the oxygen isotope data. These
models support the suggestion that the protosun may have experienced at least
one FU Orionis-like outburst, which produced several of the signatures left
behind in primitive chondrites and comets.


title: Some formulas for the number of gluings

abstract:
  In this paper the number of ways to glue a surface of genus $g$ has been
investigated. We've proven formulas for the number of gluings sphere from three
polygons and from two bicolored polygons. Moreover, we've given a new proofs on
the formulas for the number of gluings sphere and torus from two polygons.


title:
Microscopic Theory of Polariton Lasing via Vibronically Assisted
  Scattering

abstract:
  Polariton lasing has recently been observed in strongly coupled crystalline
anthracene microcavities. A simple model is developed describing the onset of
the non-linear threshold based on a master equation including the relevant
relaxation processes and employing realistic material parameters. The mechanism
governing the build-up of the polariton population - namely bosonic stimulated
scattering from the exciton reservoir via a vibronically assisted process - is
characterized and its efficiency calculated on the basis of a microscopic
theory. The role of polariton-polariton bimolecular quenching is identified and
temperature dependent effects are discussed.


title:
Scale dependence and collinear subtraction terms for Higgs production in
  gluon fusion at N3LO

abstract:
  The full, explicit, scale dependence of the inclusive N3LO cross section for
single Higgs hadroproduction is obtained by calculating the convolutions of
collinear splitting kernels with lower-order partonic cross sections. We
provide results for all convolutions of splitting kernels and lower-order
partonic cross sections to the order in epsilon needed for the full N3LO
computation, as well as their expansions around the soft limit. We also discuss
the size of the total scale uncertainty at N3LO that can be anticipated with
existing information.


title: Impact mechanics of elastic bodies with point contact

abstract:
  This paper introduces a modeling framework that is suitable to resolve
singularities of impact phenomena encountered in applications. The method
involves an exact transformation that turns the continuum, often partial
differential equation description of the contact problem into a delay
differential equation. The new form of the physical model highlights the source
of singularities and suggests a simple criterion for regularity. To contrast
singular and regular behavior the impacting Euler-Bernoulli and Timoshenko beam
models are compared.


title: Normal holonomy of orbits and Veronese submanifolds

abstract:
  It was conjectured, twenty years ago, the following result that would
generalize the so-called rank rigidity theorem for homogeneous Euclidean
submanifolds: let M^n, n>=2, be a full and irreducible homogeneous submanifold
of the sphere $S^{N-1}\subset R^N$ and such that the normal holonomy group is
not transitive (on the unit sphere of the normal space to the sphere). Then M^n
must be an orbit of an irreducible s-representation (i.e. the isotropy
representation of a semisimple Riemannian symmetric space).
  If n=2, then the normal holonomy is always transitive, unless M is a
homogeneous isoparametric hypersurface of the sphere (and so the conjecture is
true in this case). We prove the conjecture when n=3. In this case M^3 must be
either isoparametric or a Veronese submanifold. The proof combines geometric
arguments with (delicate) topological arguments that uses information from two
different fibrations with the same total space (the holonomy tube and the
caustic fibrations).
  We also prove the conjecture for n>= 3 when the normal holonomy acts
irreducibly and the codimension is the maximal possible n(n+1)/2. This gives a
characterization of Veronese submanifolds in terms of normal holonomy. We also
extend this last result by replacing the homogeneity assumption by the
assumption of minimality (in the sphere).
  Another result of the paper, used for the case n=3, is that the number of
irreducible factors of the local normal holonomy group, for any Euclidean
submanifold M^n, is less or equal than [n/2] (which is the rank of the
orthogonal group SO(n)). This bound is sharp and improves the known bound
n(n-1)/2.


title: Scattering in a varying mass PT symmetric double heterojunction

abstract:
  We observe that the reflection and transmission coefficients of a particle
within a double, PT symmetric heterojunction with spatially varying mass, show
interesting features, depending on the degree of non Hermiticity, although
there is no spontaneous breakdown of PT symmetry. The potential profile in the
intermediate layer is considered such that it has a non vanishing imaginary
part near the heterojunctions. Exact analytical solutions for the wave function
are obtained, and the reflection and transmission coefficients are plotted as a
function of energy, for both left as well as right incidence. As expected, the
spatial dependence on mass changes the nature of the scattering solutions
within the heterojunctions, and the space-time (PT) symmetry is responsible for
the left-right asymmetry in the reflection and transmission coefficients.
However, the non vanishing imaginary component of the potential near the
heterojunctions gives new and interesting results.


title:
Symbolic-numerical algorithm for generating cluster eigenfunctions:
  identical particles with pair oscillator interactions

abstract:
  The quantum model of a cluster, consisting of A identical particles, coupled
by the internal pair interactions and affected by the external field of a
target, is considered. A symbolic-numerical algorithm for generating
A-1-dimensional oscillator eigenfunctions, symmetric or antisymmetric with
respect to permutations of A identical particles in the new symmetrized
coordinates, is formulated and implemented using the MAPLE computer algebra
system. Examples of generating the symmetrized coordinate representation for
A-1 dimensional oscillator functions in one-dimensional Euclidean space are
analyzed. The approach is aimed at solving the problem of tunnelling the
clusters, consisting of several identical particles, through repulsive
potential barriers of a target.


title: On the charge of nanograins in cold environments and Enceladus dust

abstract:
  In very-low energy plasmas, the size of nanograins is comparable to the
distance (the so-called Landau length) at which the interaction energy of two
electrons equals their thermal energy. In that case, the grain's polarization
induced by approaching charged particles increases their fluxes and reduces the
charging time scales. Furthermore, for grains of radius smaller than the Landau
length, the electric charge no longer decreases linearly with size, but has a
most probable equilibrium value close to one electron charge. We give
analytical results that can be used for nanograins in cold dense planetary
environments of the outer solar system. Application to the nanodust observed in
the plume of Saturn's moon Enceladus shows that most grains of radius about 1
nm should carry one electron, whereas an appreciable fraction of them are
positively charged by ion impacts. The corresponding electrostatic stresses
should destroy smaller grains, which anyway may not exist as crystals since
their number of molecules is close to the minimum required for crystallization.


title: Two coupled Levy queues with independent input

abstract:
  We consider a pair of coupled queues driven by independent
spectrally-positive Levy processes. With respect to the bi-variate workload
process this framework includes both the coupled processor model and the
two-server fluid network with independent Levy inputs. We identify the joint
transform of the stationary workload distribution in terms of Wiener-Hopf
factors corresponding to two auxiliary Levy processes with explicit Laplace
exponents. We reinterpret and extend the ideas of Cohen and Boxma (1983) to
provide a general and uniform result with a neat transform expression.


title:
Stochastic fluctuations and the detectability limit of network
  communities

abstract:
  We have analyzed the detectability limits of network communities in the
framework of the popular Girvan and Newman benchmark. By carefully taking into
account the inevitable stochastic fluctuations that affect the construction of
each and every instance of the benchmark, we come to the conclusions that the
native, putative partition of the network is completely lost even before the
in-degree/out-degree ratio becomes equal to the one of a structure-less
Erd\"os-R\'enyi network. We develop a simple iterative scheme, analytically
well described by an infinite branching-process, to provide an estimate of the
true detectability limit. Using various algorithms based on modularity
optimization, we show that all of them behave (semi-quantitatively) in the same
way, with the same functional form of the detectability threshold as a function
of the network parameters. Because the same behavior has also been found by
further modularity-optimization methods and for methods based on different
heuristics implementations, we conclude that indeed a correct definition of the
detectability limit must take into account the stochastic fluctuations of the
network construction.

categories: physics.soc-ph cond-mat.stat-mech cs.SI q-bio.QM


title: "Graph Paper" Trace Characterizations of Functions of Finite Energy

abstract:
  We characterize functions of finite energy in the plane in terms of their
traces on the lines that make up "graph paper" with squares of side length $mn$
for all $n$, and certain $\12-$order Sobolev norms on the graph paper lines. We
also obtain analogous results for functions of finite energy on two classical
fractals: the Sierpinski gasket and the Sierpinski carpet.


title: Nambu-Goldstone mesons in strong magnetic field

abstract:
  We study the q \bar q structure embedded in chiral mesons in response to
external magnetic fields, using the chiral Lagrangian with q \bar q degrees of
freedom derived earlier. We show that GMOR relations hold true for neutral
chiral mesons, while they are violated for the charged ones for eB>sigma=0.2
GeV^2. The standard chiral perturbation theory also fails in this region.
Masses of pi^+ and pi^0 mesons are calculated and compared to lattice data.


title: Andreev magneto-interferometry in topological hybrid junctions

abstract:
  We investigate the influence of the superconducting (S) proximity effect in
the quantum Hall (QH) regime by computing the charge conductance flowing
through a graphene-based QH/S/QH junction. This situation offers the exciting
possibility of studying the fate of topological edge states when they
experience tunneling processes through the superconductor. We predict the
appearance of conductance peaks at integer values of the Landau level filling
factor, as a consequence of the quantum interferences taking place at the
junction, and provide a semiclassical analysis allowing for a natural
interpretation of these interferences in terms of electron and hole
trajectories propagating along the QH/S interfaces. Our results suggest that
non-trivial junctions between topologically distinct phases could offer a
highly tunable means of partitioning the flow of edge states.


title:
Long distance nu_e -> nu_mu transitions and CP-violation with high
  intensity beta-beams

abstract:
  The recent experimental determinations of a large theta_13 angle have opened
the way to a determination of the mass hierarchy and of the CP-violating phase.
Experiments based on horn produced (anti-)neutrino conventional beams are
presently under development. The event rates are marginal for a definitive
search, since they require very intense beams and extremely large detector
masses. Zucchelli has proposed a method in which pure (anti-)nu_e beams are
generated by the beta-decay of relativistic radio-nuclides stored in a high
energy storage ring pointing towards a far away neutrino detector. Since they
have a much smaller transverse momentum distribution, the neutrino flux will be
much more narrowly concentrated than with a horn. The isomeric doublet Li-8
(anti-nu_e, tau_1/2=0.84s) and B-8 (nu_e, tau_1/2=0.77s) has been studied.
Neutrino and antineutrino beams are produced with an average transverse
momentum of about 6.5 MeV/c. Radioactive ions may be generated with a dedicated
table-top storage ring to supply a suitable ion source to be accelerated at
high energies either at FNAL or at CERN. Ions should then extracted from the
accelerator and accumulated in a decay storage ring with a long straight
section pointing toward the neutrino detector. A massive detector based on
liquid Argon technology is probably offering the best opportunities for such
future programme. The present ICARUS LAr-TPC experiment has already collected
at LNGS events in the relevant neutrino energy region. They should provide a
first evidence for a conclusive experimental study of the competing signals and
more generally for the actual feasibility of the beta-beam option in a search
of the CP violating phase. Additional data may be provided in the near future
with the ICARUS and MicroBooNe neutrino experiments located at a short distance
neutrino beam and that will collect a much larger number of neutrino events.


title:
Generation of a spin-polarized electron beam by multipoles magnetic
  fields

abstract:
  The propagation of an electron beam in the presence of transverse magnetic
fields possessing integer topological charges is presented. The spin--magnetic
interaction introduces a nonuniform spin precession of the electrons that gains
a space-variant geometrical phase in the transverse plane proportional to the
field's topological charge, whose handedness depends on the input electron's
spin state. A combination of our proposed device with an electron orbital
angular momentum sorter can be utilized as a spin-filter of electron beams in a
mid-energy range. We examine these two different configurations of a partial
spin-filter generator numerically. The results of these analysis could prove
useful in the design of improved electron microscope.


title: Esseen type bounds of the remainder in a combinatorial CLT

abstract:
  We derive Esseen type bounds of the remainder in a combinatorial central
limit theorem for independent random variables without third moments.


title: On SUSY curves

abstract:
  In this note we give a summary of some elementary results in the theory of
super Riemann surfaces (SUSY curves).


title:
Ab initio study of $Z_2$ topological phases in perovskite (111)
  $(\text{SrTiO}_3)_7/(\text{SrIrO}_3)_2$ and
  $(\text{KTaO}_3)_7/(\text{KPtO}_3)_2$ multilayers

abstract:
  Honeycomb structures formed by the growth of perovskite 5d transition metal
oxide heteroestructures along the (111) direction in $t_{2g}^5$ configuration
can give rise to topological ground states characterized by a topological index
$\nu$=1. Using a combination of a tight binding model and ab initio
calculations we study the multilayers $(\text{SrTiO}_3)_7/(\text{SrIrO}_3)_2$
and $(\text{KTaO}_3)_7/(\text{KPtO}_3)_2$ as a function of parity asymmetry,
on-site interaction and uniaxial strain and determine the nature and evolution
of the gap. $(\text{SrTiO}_3)_7/(\text{SrIrO}_3)_2$ is found to be a
topological semimetal. $(\text{KTaO}_3)_7/(\text{KPtO}_3)_2$ is a topological
Mott insulator that can be driven to a trivial insulating phase by an external
electric field.


title: First observation of the decay $B_s^0 \rightarrow \phi \bar{K}^{*0}$

abstract:
  The first observation of the decay $B_s^0 \rightarrow \phi \bar{K}^{*0}$ is
reported. The analysis is based on a data sample corresponding to an integrated
luminosity of 1.0 fb$^{-1}$ of $pp$ collisions at $\sqrt{s} = 7 TeV$, collected
with the LHCb detector. A yield of $30 \pm 6$ $B_s^0 \rightarrow
(K^+K^-)(K^-\pi^+)$ decays is found in the mass windows $1012.5 < M(K^+K^-) <
1026.5 MeV/c^2$ and $746 < M(K^-\pi^+)< 1046 MeV/c^2$. The signal yield is
found to be dominated by $B_s^0 \rightarrow \phi \bar{K}^{*0}$ decays, and the
corresponding branching fraction is measured to be ${\cal B}(B_s^0 \rightarrow
\phi \bar{K}^{*0}) = (1.10 \pm 0.24 (stat) \pm 0.14 (syst) \pm 0.08 (f_d/f_s))
\times 10^{-6}$, where the uncertainties are statistical, systematic and from
the ratio of fragmentation fractions $f_d/f_s$ which accounts for the different
production rate of $B^0$ and $B_s^0$ mesons. The significance of $B_s^0
\rightarrow \phi \bar{K}^{*0}$ signal is 6.1 standard deviations. The fraction
of longitudinal polarization in $B_s^0 \rightarrow \phi \bar{K}^{*0}$ decays is
found to be $f_0 = 0.51 \pm 0.15 (stat) \pm 0.07 (syst)$.


title:
Geometry and topology of complete Lorentz spacetimes of constant
  curvature

abstract:
  We study proper, isometric actions of nonsolvable discrete groups Gamma on
the 3-dimensional Minkowski space R^{2,1} as limits of actions on the
3-dimensional anti-de Sitter space AdS^3. To each such action is associated a
deformation of a hyperbolic surface group Gamma_0 inside O(2,1). When Gamma_0
is convex cocompact, we prove that Gamma acts properly on R^{2,1} if and only
if this group-level deformation is realized by a deformation of the quotient
surface that everywhere contracts distances at a uniform rate. We give two
applications in this case. (1) Tameness: A complete flat spacetime is
homeomorphic to the interior of a compact manifold. (2) Geometric degeneration:
A complete flat spacetime is the rescaled limit of collapsing AdS spacetimes.


title: Quantum-critical pairing in electron-doped cuprates

abstract:
  We revisit the problem of spin-mediated superconducting pairing at the
antiferromagnetic quantum-critical point with the ordering momentum
({\pi},{\pi}) = 2k_F. The problem has been previously considered by one of the
authors. However, it was later pointed out that that analysis neglected umklapp
processes for the spin polarization operator. We incorporate umklapp terms and
re-evaluate the normal state self-energy and the critical temperature of the
pairing instability. We show that the self-energy has a Fermi-liquid form and
obtain the renormalization of the quasiparticle residue Z, the Fermi velocity,
and the curvature of the Fermi surface. We argue that the pairing is a BCS-type
problem, but go one step beyond the BCS theory and calculate the critical
temperature T_c with the prefactor. We apply the results to electron-doped
cuprates near optimal doping and obtain T_c \geq 10 K, which matches the
experimental results quite well.


title:
Spectral density of a Wishart model for nonsymmetric Correlation
  Matrices

abstract:
  The Wishart model for real symmetric correlation matrices is defined as
$\mathsf{W}=\mathsf{AA}^{t}$, where matrix $\mathsf{A}$ is usually a
rectangular Gaussian random matrix and $\mathsf{A}^{t}$ is the transpose of
$\mathsf{A}$. Analogously, for nonsymmetric correlation matrices, a model may
be defined for two statistically equivalent but different matrices $\mathsf{A}$
and $\mathsf{B}$ as $\mathsf{AB}^{t}$. The corresponding Wishart model, thus,
is defined as $\mathbf{C}=\mathsf{AB}^{t}\mathsf{BA}^{t}$. We study the
spectral density of $\mathbf{C}$ for the case when $\mathsf{A}$ and
$\mathsf{B}$ are not statistically independent. The ensemble average of such
nonsymmetric matrices, therefore, does not simply vanishes to a null matrix. In
this paper we derive a Pastur self-consistent equation which describes spectral
density of large $\mathbf{C}$. We complement our analytic results with
numerics.


title:
mendelFix: a Perl script for checking Mendelian errors in high density
  SNP data of trio designs

abstract:
  Here we present mendelFix, a Perl script for checking Mendelian errors in
genome-wide SNP data of trio designs. The program takes 12-recoded PLINK PED
and MAP files as input to calculate a series of summary statistics for
Mendelian errors, sets missing offspring genotypes that present Mendelian
inconsistencies, and implements a simplistic procedure to infer missing
genotypes using parent information. The program can be easily incorporated in
any pipeline for family-based SNP data analysis, and is distributed as free
software under the GNU General Public License.


title: Local search on protein residue networks

abstract:
  Self-avoiding random walks were performed on protein residue networks.
Compared with protein residue networks with randomized links, the probability
of a walk being successful is lower and the length of successful walks shorter
in (non-randomized) protein residue networks. Fewer successful walks and
shorter successful walks point to higher communication specificity between
protein residues, a conceivably favourable attribute for proteins to have. The
use of random walks instead of shortest paths also produced lower node
centrality, lower edge betweeness and lower edge load for (non-randomized)
protein residue networks than in their respective randomized counterparts. The
implications of these properties for protein residue networks are discussed in
terms of communication congestion and network vulnerability. The randomized
protein residue networks have lower network clustering than the
(non-randomized) protein residue networks. Hence, our findings also shed light
on a hitherto neglected aspect: the importance of high network clustering in
protein residue networks. High clustering increases navigability of a network
for local search and the combination of a local search process on a highly
clustered small-world network topology such as protein residue networks reduces
communication congestion and network vulnerability.


title:
Effective Measure of Endogeneity for the Autoregressive Conditional
  Duration Point Processes via Mapping to the Self-Excited Hawkes Process

abstract:
  In order to disentangle the internal dynamics from exogenous factors within
the Autoregressive Conditional Duration (ACD) model, we present an effective
measure of endogeneity. Inspired from the Hawkes model, this measure is defined
as the average fraction of events that are triggered due to internal feedback
mechanisms within the total population. We provide a direct comparison of the
Hawkes and ACD models based on numerical simulations and show that our
effective measure of endogeneity for the ACD can be mapped onto the "branching
ratio" of the Hawkes model.


title: Element Abundances in Solar Energetic Particles and the Solar Corona

abstract:
  This is a study of abundances of the elements He, C, N, O, Ne, Mg, Si, S, Ar,
Ca, and Fe in solar energetic particles (SEPs) in the 2 - 15 MeV amu-1 region
measured on the Wind spacecraft during 54 large SEP events occurring between
November 1994 and June 2012. The origin of most of the temporal and spatial
variations in abundances of the heavier elements lies in rigidity-dependent
scattering during transport of the particles away from the site of acceleration
at shock waves driven out from the Sun by coronal mass ejections (CMEs).
Variation in the abundance of Fe is correlated with the Fe spectral index, as
expected from scattering theory but not previously noted. Clustering of Fe
abundances during the "reservoir" period, late in SEP events, is also newly
reported. Transport-induced enhancements in one region are balanced by
depletions in another, thus, averaging over these variations produces SEP
abundances that are energy independent, confirms previous SEP abundances in
this energy region, and provides a credible measure of element abundances in
the solar corona. These SEP-determined coronal abundances differ from those in
the solar photosphere by a well-known function that depends upon the first
ionization potential (FIP) or ionization time of the element.


title:
A Catalog of Globular Cluster Systems: What Determines the Size of a
  Galaxy's Globular Cluster Population?

abstract:
  We present a catalog of 422 galaxies with published measurements of their
globular cluster (GC) populations. Of these, 248 are E galaxies, 93 are S0
galaxies, and 81 are spirals or irregulars. Among various correlations of the
total number of GCs with other global galaxy properties, we find that N_GC
correlates well though nonlinearly with the dynamical mass of the galaxy bulge
M_dyn = 4 \sigma_e^2 R_e /G, where \sigma_e is the central velocity dispersion
and R_e the effective radius of the galaxy light profile. We also present
updated versions of the GC specific frequency S_N and specific mass S_M versus
host galaxy luminosity and baryonic mass. These graphs exhibit the previously
known U-shape: highest S_N or S_M values occur for either dwarfs or
supergiants, but in the midrange of galaxy size (10^9 - 10^10 L_Sun) the GC
numbers fall along a well defined baseline value of S_N ~ 1 or S_M ~ 0.1,
similar among all galaxy types. Along with other recent discussions, we suggest
that this trend may represent the effects of feedback, which systematically
inhibited early star formation at either very low or very high galaxy mass, but
which had its minimum effect for intermediate masses. Our results strongly
reinforce recent proposals that GC formation efficiency appears to be most
nearly proportional to the galaxy halo mass M_halo. The mean "absolute"
efficiency ratio for GC formation that we derive from the catalog data is
M_GCS/M_halo = 6 \times 10^-5. We suggest that the galaxy-to-galaxy scatter
around this mean value may arise in part because of differences in the relative
timing of GC formation versus field-star formation. Finally, we find that an
excellent empirical predictor of total GC population for galaxies of all
luminosities is N_GC \sim (R_e \sigma_e)^1.3$, a result consistent with
Fundamental Plane scaling relations.


title:
Same-Sign Dileptons from Colored Scalars in the Flavorful Top-Coloron
  Model

abstract:
  In this paper we study the phenomenology of color-octet and color-singlet
scalars in the flavorful Top-Coloron model. We discuss the relevant production
mechanisms at hadron colliders and the dominant decay modes, highlighting the
most promising signatures for discovery, and derive bounds on the masses of the
new scalars from LHC and Tevatron data. Of particular interest is the case in
which color-octet scalars are pair produced and each decay to t cbar or tbar c,
leading to a same-sign-dilepton final state. LHC data places a lower limit of
440 GeV on the octet mass in this scenario. The case of an octet lighter than
the top, where the octet only decays into jets, has been tested by the
Tevatron, which excludes the mass region from 50 to 125 GeV. The 8 TeV LHC is
not yet sensitive to the observation of the color-singlet states, which are
produced at rates much smaller than the octets. Nevertheless, the color-singlet
pseudoscalar can be discovered at the 14 TeV LHC by analyzing the channel where
it is produced from the decay of a color-octet vector boson.


title:
Multi-Path TCP with Network Coding for Mobile Devices in Heterogeneous
  Networks

abstract:
  Existing mobile devices have the capability to use multiple network
technologies simultaneously to help increase performance; but they rarely, if
at all, effectively use these technologies in parallel. We first present
empirical data to help understand the mobile environment when three
heterogeneous networks are available to the mobile device (i.e., a WiFi
network, WiMax network, and an Iridium satellite network). We then propose a
reliable, multi-path protocol called Multi-Path TCP with Network Coding
(MPTCP/NC) that utilizes each of these networks in parallel. An analytical
model is developed and a mean-field approximation is derived that gives an
estimate of the protocol's achievable throughput. Finally, a comparison between
MPTCP and MPTCP/NC is presented using both the empirical data and mean-field
approximation. Our results show that network coding can provide users in mobile
environments a higher quality of service by enabling the use of multiple
network technologies and the capability to overcome packet losses due to lossy,
wireless network connections.


title: Cyclic motions in Dekel-Scotchmer Game Experiments

abstract:
  TASP (Time Average Shapley Polygon, Bena{\=\i}m, Hofbauer and Hopkins,
\emph{Journal of Economic Theory}, 2009), as a novel evolutionary dynamics
model, predicts that a game could converge to cycles instead of fix points
(Nash equilibria). To verify TASP theory, using the four strategy
Dekel-Scotchmer games (Dekel and Scotchmer, \emph{Journal of Economic Theory},
1992), four experiments were conducted (Cason, Friedman and Hopkins,
\emph{Journal of Economic Theory}, 2010), in which, however, reported no
evidence of cycles (Cason, Friedman and Hopkins, \emph{The Review of Economic
Studies}, 2013). We reanalysis the four experiment data by testing the
stochastic averaging of angular momentum in period-by-period transitions of the
social state. We find, the existence of persistent cycles in Dekel-Scotchmer
game can be confirmed. On the cycles, the predictions from evolutionary models
had been supported by the four experiments.


title: Some Possible Solution of Problem of Sovereign Debts: a short plan

abstract:
  Possible solution of problem of sovereign debts is suggested. At the current
moment this solution still can be provided only by methods of the world
monetary policy.


title: An Insight to Covert Channels

abstract:
  This paper presents an overview of different concepts regarding covert
channels. It discusses the various classifications and the detailing of various
fields used to manipulate for the covert channel execution.Different evaluation
criterias are presented for measuring the strength of covert channels. The
defenses and prevention schemes for this covert channel will also be discussed.
This paper also discuss about an advanced timing channel i.e.Temperature Based
Covert Channel.


title:
Phase transition free regions in the Ising model via the Kac-Ward
  operator

abstract:
  We investigate the spectral radius and operator norm of the Kac-Ward
transition matrix for the Ising model on a general planar graph. We then use
the obtained results to identify regions in the complex plane where the free
energy density limits are analytic functions of the inverse temperature. The
bound turns out to be optimal in the case of isoradial graphs, i.e. it yields
criticality of the self-dual Z-invariant coupling constants.


title: Open and Closed Prefixes of Sturmian Words

abstract:
  A word is closed if it contains a proper factor that occurs both as a prefix
and as a suffix but does not have internal occurrences, otherwise it is open.
We deal with the sequence of open and closed prefixes of Sturmian words and
prove that this sequence characterizes every finite or infinite Sturmian word
up to isomorphisms of the alphabet. We then characterize the combinatorial
structure of the sequence of open and closed prefixes of standard Sturmian
words. We prove that every standard Sturmian word, after swapping its first
letter, can be written as an infinite product of squares of reversed standard
words.


title:
Revisiting the PT-symmetric Trimer: Bifurcations, Ghost States and
  Associated Dynamics

abstract:
  In this paper, we revisit one of the prototypical PT-symmetric oligomers,
namely the trimer. We find all the relevant branches of "regular" solutions and
analyze the bifurcations and instabilities thereof. Our work generalizes the
formulation that was proposed recently in the case of dimers for the so-called
"ghost states" of trimers, which we also identify and connect to
symmetry-breaking bifurcations from the regular states. We also examine the
dynamics of unstable trimers, as well as those of the ghost states in the
parametric regime where the latter are found to exist. Finally, we present the
current state of the art for optical experiments in PT-symmetric trimers, as
well as experimental results in a gain-loss-gain three channel waveguide
structure.


title:
Effect of a built-in electric field in asymmetric ferroelectric tunnel
  junctions

abstract:
  The contribution of a built-in electric field to ferroelectric phase
transition in asymmetric ferroelectric tunnel junctions is studied using a
multiscale thermodynamic model. It is demonstrated in details that there exists
a critical thickness at which an unusual ferroelectric-\'\' polar
non-ferroelectric\rq\rq phase transition occurs in asymmetric ferroelectric
tunnel junctions. In the \'\' polar non-ferroelectric\rq\rq phase, there is
only one non-switchable polarization which is caused by the competition between
the depolarizing field and the built-in field, and closure-like domains are
proposed to form to minimize the system energy. The transition temperature is
found to decrease monotonically as the ferroelectric barrier thickness is
decreased and the reduction becomes more significant for the thinner
ferroelectric layers. As a matter of fact, the built-in electric field does not
only result in smearing of phase transition but also forces the transition to
take place at a reduced temperature. Such findings may impose a fundamental
limit on the work temperature and thus should be further taken into account in
the future ferroelectric tunnel junction-type or ferroelectric capacitor-type
devices.


title:
Using the quaternion's representation of individuals in swarm
  intelligence and evolutionary computation

abstract:
  This paper introduces a novel idea for representation of individuals using
quaternions in swarm intelligence and evolutionary algorithms. Quaternions are
a number system, which extends complex numbers. They are successfully applied
to problems of theoretical physics and to those areas needing fast rotation
calculations. We propose the application of quaternions in optimization, more
precisely, we have been using quaternions for representation of individuals in
Bat algorithm. The preliminary results of our experiments when optimizing a
test-suite consisting of ten standard functions showed that this new algorithm
significantly improved the results of the original Bat algorithm. Moreover, the
obtained results are comparable with other swarm intelligence and evolutionary
algorithms, like the artificial bees colony, and differential evolution. We
believe that this representation could also be successfully applied to other
swarm intelligence and evolutionary algorithms.


title:
Performance of a GPU-based Direct Summation Algorithm for Computation of
  Small Angle Scattering Profile

abstract:
  Small Angle Scattering (SAS) of X-rays or neutrons is an experimental
technique that provides valuable structural information for biological
macromolecules under physiological conditions and with no limitation on the
molecular size. In order to refine molecular structure against experimental SAS
data, ab initio prediction of the scattering profile must be recomputed
hundreds of thousands of times, which involves the computation of the sinc
kernel over all pairs of atoms in a molecule. The quadratic computational
complexity of predicting the SAS profile limits the size of the molecules and
and has been a major impediment for integration of SAS data into structure
refinement protocols. In order to significantly speed up prediction of the SAS
profile we present a general purpose graphical processing unit (GPU) algorithm,
written in OpenCL, for the summation of the sinc kernel (Debye summation) over
all pairs of atoms. This program is an order of magnitude faster than a
parallel CPU algorithm, and faster than an FMM-like approximation method for
certain input domains. We show that our algorithm is currently the fastest
method for performing SAS computation for small and medium size molecules
(around 50000 atoms or less). This algorithm is critical for quick and accurate
SAS profile computation of elongated structures, such as DNA, RNA, and sparsely
spaced pseudo-atom molecules.


title:
PRISM (Polarized Radiation Imaging and Spectroscopy Mission): A White
  Paper on the Ultimate Polarimetric Spectro-Imaging of the Microwave and
  Far-Infrared Sky

abstract:
  PRISM (Polarized Radiation Imaging and Spectroscopy Mission) was proposed to
ESA in response to the Call for White Papers for the definition of the L2 and
L3 Missions in the ESA Science Programme. PRISM would have two instruments: (1)
an imager with a 3.5m mirror (cooled to 4K for high performance in the
far-infrared---that is, in the Wien part of the CMB blackbody spectrum), and
(2) an Fourier Transform Spectrometer (FTS) somewhat like the COBE FIRAS
instrument but over three orders of magnitude more sensitive. Highlights of the
new science (beyond the obvious target of B-modes from gravity waves generated
during inflation) made possible by these two instruments working in tandem
include: (1) the ultimate galaxy cluster survey gathering 10e6 clusters
extending to large redshift and measuring their peculiar velocities and
temperatures (through the kSZ effect and relativistic corrections to the
classic y-distortion spectrum, respectively) (2) a detailed investigation into
the nature of the cosmic infrared background (CIB) consisting of at present
unresolved dusty high-z galaxies, where most of the star formation in the
universe took place, (3) searching for distortions from the perfect CMB
blackbody spectrum, which will probe a large number of otherwise inaccessible
effects (e.g., energy release through decaying dark matter, the primordial
power spectrum on very small scales where measurements today are impossible due
to erasure from Silk damping and contamination from non-linear cascading of
power from larger length scales). These are but a few of the highlights of the
new science that will be made possible with PRISM.


title:
Efficient and Global Optimization-Based Smoothing Methods for
  Mixed-Volume Meshes

abstract:
  Some methods based on simple regularizing geometric element transformations
have heuristically been shown to give runtime efficient and quality effective
smoothing algorithms for meshes. We describe the mathematical framework and a
systematic approach to global optimization-based versions of such methods for
mixed volume meshes. In particular, we identify efficient smoothing algorithms
for certain algebraic mesh quality measures. We also provide explicit
constructions of potentially useful smoothing algorithms.


title:
Ion track reconstruction in 3D using alumina-based fluorescent nuclear
  track detectors

abstract:
  Fluorescent nuclear track detectors (FNTDs) based on Al2O3:C,Mg single
crystal combined with confocal microscopy provide 3D information on ion tracks
with a resolution only limited by light diffraction. FNTDs are also ideal
substrates to be coated with cells to engineer cell-fluorescent ion track
hybrid detectors. This radiobiological tool enables a novel platform linking
cell responses to physical dose deposition on a sub-cellular level in proton
and heavy ion therapies. To achieve spatial correlation between single ion hits
in the cell coating and its biological response the ion traversals have to be
reconstructed in 3D using the depth information gained by the FNTD read-out.
FNTDs were coated with a confluent human lung adenocarcinoma epithelial cell
layer. Carbon ion irradiation of the hybrid detector was performed
perpendicular and angular to the detector surface. In-situ imaging of the
fluorescently labeled cell layer and the FNTD was performed in a sequential
read-out. Making use of the trajectory information provided by the FNTD the
accuracy of 3D track reconstruction of single particles traversing the hybrid
detector was studied. The accuracy is strongly influenced by the irradiation
angle and therefore by complexity of the FNTD signal. Perpendicular irradiation
results in highest accuracy with error of smaller than 0.10{\deg}. The ability
of FNTD technology to provide accurate 3D ion track reconstruction makes it a
powerful tool for radiobiological investigations in clinical ion beams, either
being used as a substrate to be coated with living tissue or being implanted in
vivo.


title:
Dependence of Nebular Heavy-Element Abundance on H I Content for Spiral
  Galaxies

abstract:
  We analyze the galactic H I content and nebular log(O/H) for 60 spiral
galaxies in the Moustakas et al. (2006) spectral catalog. After correcting for
the mass-metallicity relationship, we show that the spirals in cluster
environments show a positive correlation for log(O/H) on DEF, the galactic H I
deficiency parameter, extending the results of previous analyses of the Virgo
and Pegasus I clusters. Additionally, we show for the first time that galaxies
in the field obey a similar dependence. The observed relationship between H I
deficiency and galactic metallicity resembles similar trends shown by
cosmological simulations of galaxy formation including inflows and outflows.
These results indicate the previously observed metallicity-DEF correlation has
a more universal interpretation than simply a cluster's effects on its member
galaxies. Rather, we observe in all environments the stochastic effects of
metal-poor infall as minor mergers and accretion help to build giant spirals.


title:
Spectrum of the totally asymmetric simple exclusion process on a
  periodic lattice - bulk eigenvalues

abstract:
  We consider the totally asymmetric simple exclusion process (TASEP) on a
periodic one-dimensional lattice of L sites. Using Bethe ansatz, we derive
parametric formulas for the eigenvalues of its generator in the thermodynamic
limit. This allows to study the curve delimiting the edge of the spectrum in
the complex plane. A functional integration over the eigenstates leads to an
expression for the density of eigenvalues in the bulk of the spectrum. The
density vanishes with an exponent 2/5 close to the eigenvalue 0.


title: Magnetospheric "anti-glitches" in magnetars

abstract:
  We attribute the rapid spindown of magnetar 1E 2259+586 observed by Archibald
et al. (2013), termed the "anti-glitch", to partial opening of the
magnetosphere during the X-ray burst, followed by changes of the structure of
the closed field line region. To account for the observed spin decrease during
the X- ray flare all that is needed is the transient opening, for just one
period, of a relatively small fraction of the magnetosphere, of the order of
only few percent. More generally, we argue that in magnetars all timing
irregularities have magnetospheric origin and are induced either by (i) the
fluctuations in the current structure of the magnetosphere (similar to the long
term torque variations in the rotationally powered pulsars); or, specifically
to magnetars, by (ii) opening of a fraction of the magnetosphere during bursts
and flares - the latter events are always accompanied by rapid spindown, an
"anti-glitch". Slow rotational motion of the neutron star crust, driven by
crustal magnetic fields, leads beyond some twist limit to explosive instability
of the external magnetic fields and transient opening of a large magnetic flux
in a CME-type event, the post-flares increase of magnetospheric currents
accompanied by enhanced X-luminosity and spindown rate, changing profiles, as
well as spectral hardening, all in agreement with the magnetospheric model of
torque fluctuations.


title: Shocks and Ejecta Mass: Radio Observations of Nova V1723 Aql

abstract:
  The radio light curves of novae rise and fall over the course of months to
years, allowing for detailed observations of the evolution of the nova shell.
However, the main parameter determined by radio models of nova explosions - the
mass of the ejecta - often seems to exceed theoretical expectations by an order
of magnitude. With the recent technological improvements on the Karl G. Jansky
Very Large Array (VLA), new observations can test the assumptions upon which
ejecta mass estimates are based. Early observations of the classical nova V1723
Aql showed an unexpectedly rapid rise in radio flux density and a distinct bump
in the radio light curve on the rise to radio maximum, which is inconsistent
with the simple model of spherical ejecta expelled in a single discrete event.
This initial bump appears to indicate the presence of shocked material in the
outer region of the ejected shell, with the emission from the shocks fading
over time. We explore possible origins for this emission and its relation to
the mass loss history of the nova. The evolution of the radio spectrum also
reveals the density profile, the mass of the ejected shell, and other
properties of the ejecta. These observations comprise one of the most complete,
longterm set of multi-wavelength radio observations for any classical nova to
date.


title:
A more general treatment of the philosophy of physics and the existence
  of universes

abstract:
  Natural philosophy necessarily combines the process of scientific observation
with an abstract (and usually symbolic) framework, which provides a logical
structure to the development of a scientific theory. The metaphysical
underpinning of science includes statements about the process of science
itself, and the nature of both the philosophical and material objects involved
in a scientific investigation. By developing a formalism for an abstract
mathematical description of inherently non-mathematical, physical objects, an
attempt is made to clarify the mechanisms and implications of the philosophical
tool of Ansatz. Outcomes of the analysis include a possible explanation for the
philosophical issue of the 'unreasonable effectiveness' of mathematics as
raised by Wigner, and an investigation into formal definitions of the terms:
principles, evidence, existence and universes that are consistent with the
conventions used in physics. It is found that the formalism places restrictions
on the mathematical properties of objects that represent the tools and terms
mentioned above. This allows one to make testable predictions regarding physics
itself (where the nature of the tools of investigation is now entirely
abstract) just as scientific theories make predictions about the universe at
hand. That is, the mathematical structure of objects defined within the new
formalism has philosophical consequences (via logical arguments) that lead to
profound insights into the nature of the universe, which may serve to guide the
course of future investigations in science and philosophy, and precipitate
inspiring new avenues of research.


title: Let's Annotate to Let Our Code Run in Parallel

abstract:
  This paper presents an approach that exploits Java annotations to provide
meta information needed to automatically transform plain Java programs into
parallel code that can be run on multicore workstation. Programmers just need
to decorate the methods that will eventually be executed in parallel with
standard Java annotations. Annotations are automatically processed at
launch-time and parallel byte code is derived. Once in execution the program
automatically retrieves the information about the executing platform and
evaluates the information specified inside the annotations to transform the
byte-code into a semantically equivalent multithreaded version, depending on
the target architecture features. The results returned by the annotated
methods, when invoked, are futures with a wait-by-necessity semantics.


title: Accomplishable Tasks in Knowledge Representation

abstract:
  Knowledge Representation (KR) is traditionally based on the logic of facts,
expressed in boolean logic. However, facts about an agent can also be seen as a
set of accomplished tasks by the agent. This paper proposes a new approach to
KR: the notion of task logical KR based on Computability Logic. This notion
allows the user to represent both accomplished tasks and accomplishable tasks
by the agent. This notion allows us to build sophisticated KRs about many
interesting agents, which have not been supported by previous logical
languages.


title:
Computation of extreme eigenvalues in higher dimensions using block
  tensor train format

abstract:
  We consider an approximate computation of several minimal eigenpairs of large
Hermitian matrices which come from high--dimensional problems. We use the
tensor train format (TT) for vectors and matrices to overcome the curse of
dimensionality and make storage and computational cost feasible. Applying a
block version of the TT format to several vectors simultaneously, we compute
the low--lying eigenstates of a system by minimization of a block Rayleigh
quotient performed in an alternating fashion for all dimensions. For several
numerical examples, we compare the proposed method with the deflation approach
when the low--lying eigenstates are computed one-by-one, and also with the
variational algorithms used in quantum physics.


title: Compressive Object Tracking using Entangled Photons

abstract:
  We present a compressive sensing protocol that tracks a moving object by
removing static components from a scene. The implementation is carried out on a
ghost imaging scheme to minimize both the number of photons and the number of
measurements required to form a quantum image of the tracked object. This
procedure tracks an object at low light levels with fewer than 3% of the
measurements required for a raster scan, permitting us to more effectively use
the information content in each photon.


title: Classical analog of extended phase space SUSY and its breaking

abstract:
  We derive the classical analog of the extended phase space quantum mechanics
of the particle with odd degrees of freedom which gives rise to
(N=2)-realization of supersymmetry (SUSY) algebra. By means of an iterative
procedure, we find the approximate groundstate solutions to the extended
Schr\"{o}dinger-like equation and use these solutions further to calculate the
parameters which measure the breaking of extended SUSY such as the groundstate
energy. Consequently, we calculate a more practical measure for the SUSY
breaking which is the expectation value of an auxiliary field. We analyze
non-perturbative mechanism for extended phase space SUSY breaking in the
instanton picture and show that this has resulted from tunneling between the
classical vacua of the theory. Particular attention is given to the algebraic
properties of shape invariance and spectrum generating algebra.


title:
Dirac Fermions in Solids - from High Tc cuprates and Graphene to
  Topological Insulators and Weyl Semimetals

abstract:
  Understanding Dirac-like Fermions has become an imperative in modern
condensed matter sciences: all across its research frontier, from graphene to
high T$_c$ superconductors to the topological insulators and beyond, various
electronic systems exhibit properties which can be well described by the Dirac
equation. Such physics is no longer the exclusive domain of quantum field
theories and other esoteric mathematical musings; instead, real physics of real
systems is governed by such equations, and important materials science and
practical implications hinge on our understanding of Dirac particles in two and
three dimensions. While the physics that gives rise to the massless Dirac
Fermions in each of the above mentioned materials is different, the low energy
properties are governed by the same Dirac kinematics. The aim of this article
is to review a selected cross-section of this vast field by highlighting the
generalities, and contrasting the specifics, of several physical systems.


title:
Using Coronal Cells to Infer the Magnetic Field Structure and Chirality
  of Filament Channels

abstract:
  Coronal cells are visible at temperatures of ~ 1.2 MK in Fe XII coronal
images obtained from the Solar Dynamics Observatory (SDO) and Solar Terrestrial
Relations Observatory (STEREO) spacecraft. We show that near a filament
channel, the plumelike tails of these cells bend horizontally in opposite
directions on the two sides of the channel like fibrils in the chromosphere.
Because the cells are rooted in magnetic flux concentrations of majority
polarity, these observations can be used with photospheric magnetograms to
infer the direction of the horizontal field in filament channels and the
chirality of the associated magnetic field. This method is similar to the
procedure for inferring the direction of the magnetic field and the chirality
of the fibril pattern in filament channels from H-alpha observations. However,
the coronal cell observations are easier to use and provide clear inferences of
the horizontal field direction for heights up to ~ 50 Mm into the corona.


title: TeV-PeV Neutrinos from Low-Power Gamma-Ray Burst Jets inside Stars

abstract:
  We study high-energy neutrino production in collimated jets inside
progenitors of gamma-ray bursts (GRBs) and supernovae, considering both
collimation and internal shocks. We obtain simple, useful constraints, using
the often overlooked point that shock acceleration of particles is ineffective
at radiation-mediated shocks. Classical GRBs may be too powerful to produce
high-energy neutrinos inside stars, which is consistent with IceCube
nondetections. We find that ultralong GRBs avoid such constraints and detecting
the TeV signal will support giant progenitors. Predictions for low-power GRB
classes including low-luminosity GRBs can be consistent with the astrophysical
neutrino background IceCube may detect, with a spectral steepening around PeV.
The models can be tested with future GRB monitors.


title:
Radiative Decays of Cosmic Background Neutrinos in Extensions of MSSM
  with a Vector Like Lepton Generation

abstract:
  An analysis of radiative decays of the neutrinos $\nu_j\to \nu_l \gamma$ is
discussed in MSSM extensions with a vector like lepton generation. Specifically
we compute neutrino decays arising from the exchange of charginos and charged
sleptons where the photon is emitted by the charged particle in the loop. It is
shown that while the lifetime of the neutrino decay in the Standard Model is
$\sim 10^{43}$ yrs for a neutrino mass of 50 meV, the current lower limit from
experiment from the analysis of the Cosmic Infrared Background is $\sim
10^{12}$ yrs and thus beyond the reach of experiment in the foreseeable future.
However, in the extensions with a vector like lepton generation the lifetime
for the decays can be as low as $\sim 10^{12}- 10^{14}$ yrs and thus within
reach of future improved experiments. The effect of CP phases on the neutrino
lifetime is also analyzed. It is shown that while both the magnetic and the
electric transition dipole moments contribute to the neutrino lifetime, often
the electric dipole moment dominates even for moderate size CP phases.


title: Magnetic Coupling in the Disks Around Young Gas Giant Planets

abstract:
  We examine the conditions under which the disks of gas and dust orbiting
young gas giant planets are sufficiently conducting to experience turbulence
driven by the magneto-rotational instability. By modeling the ionization and
conductivity in the disk around proto-Jupiter, we find that turbulence is
possible if the X-rays emitted near the Sun reach the planet's vicinity and
either (1) the gas surface densities are in the range of the minimum-mass
models constructed by augmenting Jupiter's satellites to Solar composition,
while dust is depleted from the disk atmosphere, or (2) the surface densities
are much less, and in the range of gas-starved models fed with material from
the Solar nebula, but not so low that ambipolar diffusion decouples the neutral
gas from the plasma. The results lend support to both minimum-mass and
gas-starved models of the protojovian disk: (1) The dusty minimum-mass models
have internal conductivities low enough to prevent angular momentum transfer by
magnetic forces, as required for the material to remain in place while the
satellites form. (2) The gas-starved models have magnetically-active surface
layers and a decoupled interior "dead zone". Similar active layers in the Solar
nebula yield accretion stresses in the range assumed in constructing the
circumjovian gas-starved models. Our results also point to aspects of both
classes of models that can be further developed. Non-turbulent minimum-mass
models will lose dust from their atmospheres by settling, enabling gas to
accrete through a thin surface layer. For the gas-starved models it is crucial
to learn whether enough stellar X-ray and ultraviolet photons reach the
circumjovian disk. Additionally the stress-to-pressure ratio ought to increase
with distance from the planet, likely leading to episodic accretion outbursts.


title:
Universal inhomogeneous magnetic-field response in the normal state of
  cuprate high-Tc superconductors

abstract:
  We report the results of a muon spin rotation (muSR) study of the bulk of
Bi{2+x}Sr{2-x}CaCu2O{8+\delta}, as well as pure and Ca-doped YBa2Cu3Oy, which
together with prior measurements reveal a universal inhomogeneous
magnetic-field response of hole-doped cuprates extending to temperatures far
above the critical temperature (Tc). The primary features of our data are
incompatible with the spatially inhomogeneous response being dominated by known
charge density wave (CDW) and spin density wave (SDW) orders. Instead the
normal-state inhomogeneous line broadening is found to scale with the maximum
value Tc^max for each cuprate family, indicating it is controlled by the same
energy scale as Tc. Since the degree of chemical disorder varies widely among
the cuprates we have measured, the observed scaling constitutes evidence for an
intrinsic electronic tendency toward inhomogeneity above Tc.


title: Multivector Differential Calculus

abstract:
  Universal geometric calculus simplifies and unifies the structure and
notation of mathematics for all of science and engineering, and for
technological applications. This paper treats the fundamentals of the
multivector differential calculus part of geometric calculus. The multivector
differential is introduced, followed by the multivector derivative and the
adjoint of multivector functions. The basic rules of multivector
differentiation are derived explicitly, as well as a variety of basic
multivector derivatives. Finally factorization, which relates functions of
vector variables and multivector variables is discussed, and the concepts of
both simplicial variables and derivatives are explained. Everything is proven
explicitly in a very elementary level step by step approach. The paper is thus
intended to serve as reference material, providing a number of details, which
are usually skipped in more advanced discussions of the subject matter. The
arrangement of the material closely follows {chapter 2 of D. Hestenes, G.
Sobczyk, Clifford Algebra to Geometric Calculus, Kluwer, Dordrecht, 1999}.


title: Single qubit gates in frequency-crowded transmon systems

abstract:
  Recent experimental work on superconducting transmon qubits in 3D cavities
show that their coherence times are increased by an order of magnitude compared
to their 2D cavity counterparts. However to take advantage of these coherence
times while scaling up the number of qubits it is advantageous to address
individual qubits which are all coupled to the same 3D cavity fields. The
challenge in controlling this system comes from spectral crowding, where
leakage transition of qubits are close to computational transitions in other.
Here it is shown that fast pulses are possible which address single qubits
using two quadrature control of the pulse envelope while the DRAG method alone
only gives marginal improvements over the conventional Gaussian pulse shape. On
the other hand, a first order result using the Magnus expansion gives a fast
analytical pulse shape which gives a high fidelity gate for a specific gate
time, up to a phase factor on the second qubit. Further numerical analysis
corroborates these results and yields to even faster gates, showing that
leakage state anharmonicity does not provide a fundamental quantum speed limit.


title: Charged Black Holes in Generalized Teleparallel Gravity

abstract:
  In this paper we investigate charged static black holes in 4D for generalized
teleparallel models of gravity, based on torsion as the geometric object for
describing gravity according to the equivalence principle. As a motivated idea,
we introduce a set of non-diagonal tetrads and derive the full system of non
linear differential equations. We prove that the common Schwarzschild gauge is
applicable only when we study linear f(T) case. We reobtain the
Reissner-Nordstrom-de Sitter (or RN-AdS) solution for the linear case of f(T)
and perform a parametric cosmological reconstruction for two nonlinear models.
We also study in detail a type of the no-go theorem in the framework of this
modified teleparallel gravity.


title: A Kernel Test for Three-Variable Interactions

abstract:
  We introduce kernel nonparametric tests for Lancaster three-variable
interaction and for total independence, using embeddings of signed measures
into a reproducing kernel Hilbert space. The resulting test statistics are
straightforward to compute, and are used in powerful interaction tests, which
are consistent against all alternatives for a large family of reproducing
kernels. We show the Lancaster test to be sensitive to cases where two
independent causes individually have weak influence on a third dependent
variable, but their combined effect has a strong influence. This makes the
Lancaster test especially suited to finding structure in directed graphical
models, where it outperforms competing nonparametric tests in detecting such
V-structures.


title:
No evidence for intense, cold accretion onto YSOs from measurements of
  Li in T-Tauri stars

abstract:
  We have used medium resolution spectra to search for evidence that
proto-stellar objects accrete at high rates during their early 'assembly
phase'. Models predict that depleted lithium and reduced luminosity in T-Tauri
stars are key signatures of 'cold' high-rate accretion occurring early in a
star's evolution.
  We found no evidence in 168 stars in NGC 2264 and the Orion Nebula Cluster
for strong lithium depletion through analysis of veiling corrected 6708
angstrom lithium spectral line strengths. This suggests that 'cold' accretion
at high rates (M_dot > 5 x 10-4 M_sol yr-1) occurs in the assembly phase of
fewer than 0.5 per cent of 0.3 < M < 1.9 M_sol stars.
  We also find that the dispersion in the strength of the 6708 angstrom lithium
line might imply an age spread that is similar in magnitude to the apparent age
spread implied by the luminosity dispersion seen in colour magnitude diagrams.
Evidence for weak lithium depletion (< 10 per cent in equivalent width) that is
correlated with luminosity is also apparent, but we are unable to determine
whether age spreads or accretion at rates less than 5 x 10-4 M_sol yr-1 are
responsible.


title:
A journey through resource control lambda calculi and explicit
  substitution using intersection types (an account)

abstract:
  In this paper we invite the reader to a journey through three lambda calculi
with resource control: the lambda calculus, the sequent lambda calculus, and
the lambda calculus with explicit substitution. All three calculi enable
explicit control of resources due to the presence of weakening and contraction
operators. Along this journey, we propose intersection type assignment systems
for all three resource control calculi. We recognise the need for three kinds
of variables all requiring different kinds of intersection types. Our main
contribution is the characterisation of strong normalisation of reductions in
all three calculi, using the techniques of reducibility, head subject
expansion, a combination of well-orders and suitable embeddings of terms.


title: A simple case of rationality of escalation

abstract:
  Escalation is the fact that in a game (for instance an auction), the agents
play forever. It is not necessary to consider complex examples to establish its
rationality. In particular, the $0,1$-game is an extremely simple infinite game
in which escalation arises naturally and rationally. In some sense, it can be
considered as the paradigm of escalation. Through an example of economic games,
we show the benefit economics can take of coinduction.


title:
Local in time results for local and non-local capillary Navier-Stokes
  systems with large data

abstract:
  In this article we study three capillary compressible models (the classical
local Navier-Stokes-Korteweg system and two non-local models) for large initial
data, bounded away from zero, and with a reference pressure state $\bar{\rho}$
which is not necessarily stable ($P'(\bar{\rho})$ can be non-positive). We
prove that these systems have a unique local in time solution and we study the
convergence rate of the solutions of the non-local models towards the local
Korteweg model. The results are given for constant viscous coefficients and we
explain how to extend them for density dependant coefficients.


title:
Demonstration of a novel technique to measure two-photon exchange
  effects in elastic $e^\pm p$ scattering

abstract:
  The discrepancy between proton electromagnetic form factors extracted using
unpolarized and polarized scattering data is believed to be a consequence of
two-photon exchange (TPE) effects. However, the calculations of TPE corrections
have significant model dependence, and there is limited direct experimental
evidence for such corrections. We present the results of a new experimental
technique for making direct $e^\pm p$ comparisons, which has the potential to
make precise measurements over a broad range in $Q^2$ and scattering angles. We
use the Jefferson Lab electron beam and the Hall B photon tagger to generate a
clean but untagged photon beam. The photon beam impinges on a converter foil to
generate a mixed beam of electrons, positrons, and photons. A chicane is used
to separate and recombine the electron and positron beams while the photon beam
is stopped by a photon blocker. This provides a combined electron and positron
beam, with energies from 0.5 to 3.2 GeV, which impinges on a liquid hydrogen
target. The large acceptance CLAS detector is used to identify and reconstruct
elastic scattering events, determining both the initial lepton energy and the
sign of the scattered lepton. The data were collected in two days with a
primary electron beam energy of only 3.3 GeV, limiting the data from this run
to smaller values of $Q^2$ and scattering angle. Nonetheless, this measurement
yields a data sample for $e^\pm p$ with statistics comparable to those of the
best previous measurements. We have shown that we can cleanly identify elastic
scattering events and correct for the difference in acceptance for electron and
positron scattering. The final ratio of positron to electron scattering:
$R=1.027\pm0.005\pm0.05$ for $<Q^2>=0.206$ GeV$^2$ and $0.830\leq \epsilon\leq
0.943$.


title: Isospin splittings in the light baryon octet from lattice QCD and QED

abstract:
  While electromagnetic and up-down quark mass difference effects on octet
baryon masses are very small, they have important consequences. The stability
of the hydrogen atom against beta decay is a prominent example. Here we include
these effects by adding them to valence quarks in a lattice QCD calculation
based on $N_f=2+1$ simulations with 5 lattice spacings down to 0.054 fm,
lattice sizes up to 6 fm and average up-down quark masses all the way down to
their physical value. This allows us to gain control over all systematic
errors, except for the one associated with neglecting electromagnetism in the
sea. We compute the octet baryon isomultiplet mass splittings, as well as the
individual contributions from electromagnetism and the up-down quark mass
difference. Our results for the total splittings are in good agreement with
experiment.