title:
Interplay of spin gap and nanoscopic quantum fluctuations in
  intermetallic CeCu2Ge2

abstract:
  Neutron scattering measurements are used to elucidate interplay of the
field-induced spin gap and the quantum fluctuations in archetypal heavy
electron system CeCu$_{2}$Ge$_{2}$. A spin gap of $\Delta$ = 0.56 meV is found
to develop near the field-induced quantum critical state at $H$$_{c}$$\simeq$ 8
T, driven by fluctuations of the long range antiferromagnetic order parameter.
The superconducting transition temperature in many magnetic superconductors is
found to exhibit one-to-one correspondence with the spin gap. In this regard,
the demonstration of an interplay of the spin gap with the nanoscopic dynamic
correlation provides new arena to explore direct relation between the quantum
critical behavior and the unconventional superconductivity, especially in heavy
electrons systems.


title:
A non-linear mathematical model of cell turnover, differentiation and
  tumorigenesis in the intestinal crypt

abstract:
  We present a development of a model of the relationship between cells in
three compartments of the intestinal crypt: stem cells, semi-differentiated
cells and fully differentiated cells. Stem and semi-differentiated cells may
divide to self-renew, undergo programmed death or progress to
semi-differentiated and fully differentiated cells respectively. The
probabilities of each of these events provide the most important parameters of
the model. Fully differentiated cells do not divide, but a proportion undergoes
programmed death in each generation. Our previous models showed that failure of
programmed death - for example, in tumorigenesis - could lead either to
exponential growth in cell numbers or to growth to some plateau. Our new models
incorporate plausible fluctuation in the parameters of the model and introduce
non-linearity by assuming that the parameters depend on the numbers of cells in
each state of differentiation. We find that the model is characterized by
bifurcation between increase in cell numbers to stable equilibrium or
'explosive' exponential growth; in a restricted number of cases, there may be
multiple stable equilibria. Fluctuation in cell numbers undergoing programmed
death, for example caused by tissue damage, generally makes exponential growth
more likely, as long as the size of the fluctuation exceeds a certain critical
value for a sufficiently long period of time. In most cases, once exponential
growth has started, this process is irreversible. In some circumstances,
exponential growth is preceded by a long plateau phase, of variable duration,
mimicking equilibrium: thus apparently self-limiting lesions may not be so in
practice.


title: Value distribution and linear operators

abstract:
  Nevanlinna's second main theorem is a far-reaching generalisation of Picard's
Theorem concerning the value distribution of an arbitrary meromorphic function
f. The theorem takes the form of an inequality containing a ramification term
in which the zeros and poles of the derivative f' appear. In this paper we show
that a similar result holds for special subfields of meromorphic functions
where the derivative is replaced by a more general linear operator, such as
higher-order differential operators and differential-difference operators. We
subsequently derive generalisations of Picard's Theorem and the defect
relations.


title:
Curvature Estimates for Critical 4-Manifolds with a Lower Ricci
  Curvature Bound

abstract:
  We draw elliptic regularity results for 4-manifolds with an elliptic system,
without Sobolev constant control. Direct use of analysis is circumvented; the
results come mainly through geometric and topological arguments. In contrast to
our previous paper, which worked predominantly on the scale of the curvature
radius, the results here provide curvature controls on a fixed scale.


title: GMC Origins and Turbulent Motions in Spiral and Dwarf Galaxies

abstract:
  CO clouds can be non-self-gravitating in high pressure environments, while
most should be strongly self-gravitating at low metallicities and ambient
pressures. In the LMC, which is HI-rich, GMC formation and destruction should
generally include molecule formation and destruction. In M51, which is CO-rich,
GMCs grow by coalescence. The Milky Way is between these two situations. In all
cases, large clouds form by accretion of gas and smaller clouds independently
of the presence of molecules. GMCs in the Milky Way are analogous to dust lanes
and spurs in other galaxies. The virial parameter alpha usually decreases
monotonically with increasing cloud mass in surveys, which implies that small
scale structure is formed by turbulence. Hierarchies of sequences with
decreasing alpha should be present in cloud complexes from sub-solar masses up
to the ambient Jeans mass (10^7 Msun).


title:
Tunable frequency reference by optical pumping-assisted intracavity
  V-type electromagnetically induced transparency

abstract:
  A tunable high resolution frequency reference is constructed using the
narrowed cavity-linewidth by the optical pumping-assisted V-type
electromagnetically induced transparency (EIT). At room temperature, the
optical pumping effect will increase the transparency for the V-type EIT and
therefore the cavity-linewidth can be narrowed apparently. For the seven EITs
observed in our previous study, cavity-linewidth narrowing is observed in all
of them. More importantly, we find that the cavity-linewidth can keep at 1.2MHz
in a wide frequency range of 100MHz by utilizing the central EIT. This property
provides a novel way for constructing high resolution tunable frequency
reference via the intracavity EIT.


title:
A general framework for modeling tumor-immune system competition and
  immunotherapy: mathematical analysis and biomedical inferences

abstract:
  In this work we propose and investigate a family of models, which admits as
particular cases some well known mathematical models of tumor-immune system
interaction, with the additional assumption that the influx of immune system
cells may be a function of the number of cancer cells. Constant, periodic and
impulsive therapies (as well as the non-perturbed system) are investigated both
analytically for the general family and, by using the model by Kuznetsov et al.
(V. A. Kuznetsov, I. A. Makalkin, M. A. Taylor and A. S. Perelson. Nonlinear
dynamics of immunogenic tumors: Parameter estimation and global bifurcation
analysis. Bulletin of Mathematical Biology 56(2): 295-321, (1994)), via
numerical simulations. Simulations seem to show that the shape of the function
modeling the therapy is a crucial factor only for very high values of the
therapy period $T$, whereas for realistic values of $T$, the eradication of the
cancer cells depends on the mean values of the therapy term. Finally, some
medical inferences are proposed.


title:
Planar AdS black holes in Lovelock gravity with a nonminimal scalar
  field

abstract:
  In arbitrary dimension D, we consider a self-interacting scalar field
nonminimally coupled with a gravity theory given by a particular Lovelock
action indexed by an integer k. To be more precise, the coefficients appearing
in the Lovelock expansion are fixed by requiring the theory to have a unique
AdS vacuum with a fixed value of the cosmological constant. This yields to
k=1,2,...,[(D-1)/2] inequivalent possible gravity theories; here the case k=1
corresponds to the standard Einstein-Hilbert Lagrangian. For each par (D,k), we
derive two classes of AdS black hole solutions with planar event horizon
topology for particular values of the nonminimal coupling parameter. The first
family of solutions depends on a unique constant and is valid only for k>1. In
fact, its GR counterpart k=1 reduces to the pure AdS metric with a vanishing
scalar field. The second family of solutions involves two independent constants
and corresponds to a stealth black hole configuration; that is a nontrivial
scalar field together with a black hole metric such that both side of the
Einstein equations (gravity and matter parts) vanishes identically. In this
case, the standard GR case k=1 reduces to the Schwarzschild-AdS-Tangherlini
black hole metric with a trivial scalar field. In both cases, the existence of
these solutions is strongly inherent of the presence of the higher order
curvature terms k>1 of the Lovelock gravity. We also establish that these
solutions emerge from a stealth configuration defined on the pure AdS metric
through a Kerr-Schild transformation. Finally, in the last part, we include
multiple exact (D-1)-forms homogenously distributed and coupled to the scalar
field. For a specific coupling, we obtain black hole solutions for arbitrary
value of the nonminimal coupling parameter generalizing those obtained in the
pure scalar field case.


title:
Importance sampling squared for Bayesian inference in latent variable
  models

abstract:
  We consider Bayesian inference by importance sampling when the likelihood is
analytically intractable but can be unbiasedly estimated. We refer to this
procedure as importance sampling squared (IS2), as we can often estimate the
likelihood itself by importance sampling. We provide a formal justification for
importance sampling when working with an estimate of the likelihood and study
its convergence properties. We analyze the effect of estimating the likelihood
on the resulting inference and provide guidelines on how to set up the
precision of the likelihood estimate in order to obtain an optimal tradeoff?
between computational cost and accuracy for posterior inference on the model
parameters. We illustrate the procedure in empirical applications for a
generalized multinomial logit model and a stochastic volatility model. The
results show that the IS2 method can lead to fast and accurate posterior
inference under the optimal implementation.


title:
A note on Jacobians, Tutte polynomials, and two-variable zeta functions
  of graphs

abstract:
  We address questions posed by Lorenzini about relations between Jacobians,
Tutte polynomials, and the Brill-Noether theory of finite graphs, as encoded in
his two-variable zeta functions. In particular, we give examples showing that
none of these invariants is determined by the other two.


title: Finite Part of Operator $K$-Theory for Groups with Rapid Decay

abstract:
  In this paper we study the part of the $K$-theory of the reduced
$C^*$-algebra arising from torsion elements of the group, and in particular we
study the pairing of $K$-theory with traces and when traces can detect certain
$K$-theory elements. In the case of groups with Property RD, we give a
condition on the growth of conjugacy classes that determines whether they can
be detected. Moreover, in the case that they can be detected, we show that
nonzero elements in the part of the $K$-theory generated by torsion elements
are not in the image of the assembly map $K^G_0(EG) \to K_0(C^*G)$. One
application of this is a lower bound for the structure groups of certain
manifolds.


title:
Subsonic solutions for steady Euler-Poisson system in two dimensional
  nozzles

abstract:
  In this paper, we prove the existence and stability of subsonic flows for
steady full Euler-Poisson system in a two dimensional nozzle of finite length
when imposing the electric potential difference on non-insulated boundary from
a fixed point at the entrance, and prescribing the pressure at the exit of the
nozzle. The Euler-Poisson system for subsonic flow is a hyperbolic-elliptic
coupled nonlinear system. One of the crucial ingredient of this work is the
combination of Helmholtz decomposition for the velocity field and stream
function formulation together. In terms of the Helmholtz decomposition, the
Euler-Poisson system is rewritten as a second order nonlinear elliptic system
of three equations and transport equations for entropy and pseudo-Bernoulli's
invariant. The associated elliptic system in a Lipschitz domain with nonlinear
boundary conditions is solved with the help of the estimates developed in [2]
based on its nice structure. The transport equations are resolved via the flow
map induced by the stream function formulation. Furthermore, the delicate
estimates for the flow map give the uniqueness of the solutions.


title: Inversions of the windowed ray transform

abstract:
  The windowed ray transform is a natural generalization of the
"Analytic-Signal Transform" which is developed to extend arbitrary functions
from $\RR^n$ to $\CC^n$. We present several inversion formulas here.


title:
Finite Difference Weighted Essentially Non-Oscillatory Schemes with
  Constrained Transport for Ideal Magnetohydrodynamics

abstract:
  In this work we develop a class of high-order finite difference weighted
essentially non-oscillatory (FD-WENO) schemes for solving the ideal
magnetohydrodynamic (MHD) equations in 2D and 3D. The philosophy of this work
is to use efficient high-order WENO spatial discretizations with high-order
strong stability-preserving Runge-Kutta (SSP-RK) time-stepping schemes.
Numerical results have shown that with such methods we are able to resolve
solution structures that are only visible at much higher grid resolutions with
lower-order schemes. The key challenge in applying such methods to ideal MHD is
to control divergence errors in the magnetic field. We achieve this by
augmenting the base scheme with a novel high-order constrained transport
approach that updates the magnetic vector potential. The predicted magnetic
field from the base scheme is replaced by a divergence-free magnetic field that
is obtained from the curl of this magnetic potential. The non-conservative
weakly hyperbolic system that the magnetic vector potential satisfies is solved
using a version of FD-WENO developed for Hamilton-Jacobi equations. The
resulting numerical method is endowed with several important properties: (1)
all quantities, including all components of the magnetic field and magnetic
potential, are treated as point values on the same mesh (i.e., there is no mesh
staggering); (2) both the spatial and temporal orders of accuracy are
fourth-order; (3) no spatial integration or multidimensional reconstructions
are needed in any step; and (4) special limiters in the magnetic vector
potential update are used to control unphysical oscillations in the magnetic
field. Several 2D and 3D numerical examples are presented to verify the order
of accuracy on smooth test problems and to show high-resolution on test
problems that involve shocks.


title: Giant dipole resonance in highly excited nuclei

abstract:
  The evolution of the giant dipole resonance's (GDR) width and shape at finite
temperature $T$ and angular momentum $J$ is described within the framework of
the phonon damping model (PDM). The PDM description is compared with the
established experimental systematics obtained from heavy-ion fusion and
inelastic scattering of light particles on heavy target nuclei, as well as with
predictions by other theoretical approaches. Extended to include the effect of
angular momentum $J$, its strength functions have been averaged over the
probability distributions of $T$ and $J$ for the heavy-ion fusion-evaporation
reaction, which forms the compound nucleus $^{88}$Mo at high $T$ and $J$. The
results of theoretical predictions are found in excellent agreement with the
experimental data. The predictions by PDM and the heavy-ion fusion data are
also employed to predict the viscosity of hot medium and heavy nuclei.


title: Instability of a Kerr black hole in f(R) gravity

abstract:
  We study the stability of a rotating (Kerr) black hole in the viable $f(R)$
gravity. The linearized-Ricci scalar equation shows the superradiant
instability, leading to the instability of the Kerr black hole in $f(R)$
gravity.


title: Cohomology and 1-parameter formal deformations of Hom-Lie triple systems

abstract:
  In this paper, we study the cohomology theory of Hom-Lie triple systems
generalizing the Yamaguti cohomology theory of Lie triple systems. We introduce
the central extension theory for Hom-Lie triple systems and show that there is
a one-to-one correspondence between equivalent classes of central extensions of
Hom-Lie triple systems and the third cohomology group. We develop the
1-parameter formal deformation theory of Hom-Lie triple systems, and prove that
it is governed by the cohomology group.


title:
Boundary partial regularity for the high dimensional Navier-Stokes
  equations

abstract:
  We consider suitable weak solutions of the incompressible Navier--Stokes
equations in two cases: the 4D time-dependent case and the 6D stationary case.
We prove that up to the boundary, the two-dimensional Hausdorff measure of the
set of singular points is equal to zero in both cases.


title: Spectra of tensor triangulated categories over category algebras

abstract:
  Let C be a finite EI category and k be a field. We consider the category
algebra kC. Suppose K(C)=D^b(kC-mod) is the bounded derived category of
finitely generated left modules. This is a tensor triangulated category and we
compute its spectrum in the sense of Balmer. When C=G*P is a finite transporter
category, the category algebra becomes Gorenstein so we can define the stable
module category \CM k(G*P), of maximal Cohen-Macaulay modules, as a quotient
category of K(G*P). Since \CM k(G*P) is also tensor triangulated, we compute
its spectrum as well.
  These spectra are used to classify tensor ideal thick subcategories of the
corresponding tensor triangulated categories, despite the fact that the
previously mentioned tensor categories are not rigid.


title:
The cross-power spectrum between 21cm emission and galaxies in
  hierarchical galaxy formation models

abstract:
  The correlation between 21cm fluctuations and galaxies is sensitive to the
astrophysical properties of the galaxies that drove reionization. Thus,
detailed measurements of the cross-power spectrum and its evolution could
provide a powerful measurement both of the properties of early galaxies and the
process of reionization. In this paper, we study the evolution of the
cross-power spectrum between 21cm emission and galaxies using a model which
combines the hierarchical galaxy formation model GALFORM implemented within the
Millennium-II dark matter simulation, with a semi-numerical scheme to describe
the resulting ionization structure. We find that inclusion of different
feedback processes changes the cross-power spectrum shape and amplitude. In
particular, the feature in the cross-power spectrum corresponding to the size
of ionized regions is significantly affected by supernovae feedback. We
calculate predicted observational uncertainties of the cross-correlation
coefficient based on specifications of the Murchison Widefield Array (MWA)
combined with galaxy surveys of varying area and depth. We find that the
cross-power spectrum could be detected over several square degrees of galaxy
survey with galaxy redshift errors less than 0.1.


title:
Electronically Driven Fragmentation of Silver Nanocrystals Revealed by
  Ultrafast Electron Crystallography

abstract:
  We report an ultrafast electron diffraction study of silver nanocrystals
under surface plasmon resonance excitation, leading to a concerted
fragmentation. By examining simultaneously transient structural, thermal, and
Coulombic signatures of the prefragmented state, an electronically driven
nonthermal fragmentation scenario is proposed.


title:
Category Equivalences Involving Graded Modules Over Weighted Path
  Algebras and Weighted Monomial Algebras

abstract:
  Let k be a field, Q a finite directed graph, and kQ its path algebra. Make kQ
an N-graded algebra by assigning each arrow a positive degree. Let I be an
ideal in kQ generated by a finite number of paths and write A = kQ/I. Let QGr A
denote the quotient of the category of graded right A-modules modulo the Serre
subcategory consisting of those graded modules that are the sum of their finite
dimensional submodules. This paper shows there is a finite directed graph Q'
with all its arrows placed in degree 1 and an equivalence of categories QGr A =
QGr kQ'. A result of Smith now implies that QGr A = Mod S, the category of
right modules over an ultramatricial, hence von Neumann regular, algebra S.


title:
A brief review: Ultrafast electron diffractive voltammetry: General
  formalism and applications

abstract:
  We present a general formalism of ultrafast diffractive voltammetry approach
as a contact-free tool to investigate the ultrafast surface charge dynamics in
nanostructured interfaces. As case studies, the photoinduced surface charging
processes in oxidized silicon surface and the hot electron dynamics in
nanoparticle-decorated interface are examined based on the diffractive
voltammetry framework. We identify that the charge redistribution processes
appear on the surface, sub-surface, and vacuum levels when driven by intense
femtosecond laser pulses. To elucidate the voltammetry contribution from
different sources, we perform controlled experiments using shadow imaging
techniques and N-particle simulations to aid the investigation of the
photovoltage dynamics in the presence of pho- toemission. We show that
voltammetry contribution associated with photoemission has a long decay tail
and plays a more visible role in the nanosecond timescale, whereas the
ultrafast voltammetry are dominated by local charge transfer, such as surface
charging and molecular charge transport at nanostructured interfaces. We also
discuss the general applicability of the diffractive voltammetry as an integral
part of quantitative ultrafast electron diffraction methodology in researching
different types of interfaces having distinctive surface diffraction and
boundary conditions.


title: Laurent polynomials, Eulerian numbers, and Bernstein's theorem

abstract:
  Erman, Smith, and V\'arilly-Alvarado showed that the expected number of
doubly monic Laurent polynomials $f(z) = z^{-m} + a_{-m+1}z^{-m+1} + \cdots +
a_{n-1}z^{n-1} + z^n$ whose first $m+n-1$ powers have vanishing constant term
is the Eulerian number $\brac{m+n-1}{m-1}$, as well as a more refined result
about sparse Laurent polynomials. We give an alternate proof of these results
using Bernstein's theorem that clarifies the connection between these objects.
In the process, we show that a refinement of Eulerian numbers gives a
combinatorial interpretation for volumes of certain rational hyperplane
sections of the hypercube.


title:
Hubbard-corrected DFT energy functionals: the LDA+U description of
  correlated systems

abstract:
  The aim of this review article is to assess the descriptive capabilities of
the Hubbard-rooted LDA+U method and to clarify the conditions under which it
can be expected to be most predictive. The paper illustrates the theoretical
foundation of LDA+U and prototypical applications to the study of correlated
materials, discusses the most relevant approximations used in its formulation,
and makes a comparison with other approaches also developed for similar
purposes. Open "issues" of the method are also discussed, including the
calculation of the electronic couplings (the Hubbard U), the precise expression
of the corrective functional and the possibility to use LDA+U for other classes
of materials. The second part of the article presents recent extensions to the
method and illustrates the significant improvements they have obtained in the
description of several classes of different systems. The conclusive section
finally discusses possible future developments of LDA+U to further enlarge its
predictive power and its range of applicability.


title: Unextendible maximally entangled bases and mutually unbiased bases

abstract:
  We study unextendible maximally entangled basis in arbitrary bipartite
spaces. A systematic way of constructing a set of $d^{2}$ orthonormal maximally
entangled states in
$\mathbb{C}^{d}\bigotimes\mathbb{C}^{d'}(\frac{d'}{2}<d<d')$ is provided. The
complementary space of the set of these $d^{2}$ orthonormal maximally entangled
states contains no maximally entangled states that are orthogonal to all of
them. Furthermore, we investigate mutually unbiased bases in which all the
bases are unextendible maximally entangled ones. We present two unextendible
maximally entangled bases in $\mathbb{C}^{2}\bigotimes\mathbb{C}^{3}$ which are
mutually unbiased.


title: Geometry of Quantum Computation with Qutrits

abstract:
  Determining the quantum circuit complexity of a unitary operation is an
important problem in quantum computation. By using the mathematical techniques
of Riemannian geometry, we investigate the efficient quantum circuits in
quantum computation with $n$ qutrits. We show that the optimal quantum circuits
are essentially equivalent to the shortest path between two points in a certain
curved geometry of $SU(3^n)$. As an example, three-qutrit systems are
investigated in detail.


title: The birth of a quasiparticle in Si observed in time-frequency space

abstract:
  The concept of quasiparticles in solid-state physics is an extremely powerful
way to describe complex many-body phenomena in terms of single particle
excitations. Introducing a simple particle such as electron, e, hole, h, or a
phonon, p, deforms a many-body system through interaction with other particles.
We say the added particle is dressed or renormalized by a self-energy cloud
that describes the response of the many-body system forming a new entity, the
quasiparticle. With ultrafast laser techniques we can impulsively generate bare
particles and observe their dressing by the many-body interactions, that is
quasiparticle formation, on the time and energy scales governed by the
Heisenberg uncertainty principle. Here we present the coherent response of Si
to excitation with a 10 femtosecond (10-14 s) laser pulse. The optical pulse
interacts with the sample via the complex second-order nonlinear susceptibility
to generate a force on the lattice driving coherent phonon excitation.
Transforming the transient reflectivity signal into frequency-time space by
wavelet transform reveals interference effects leading to the coherent phonon
generation and subsequent dressing of the phonon by electron-hole, e-h, pair
excitations.


title: Lattice effects on ferromagnetism in perovskite ruthenates

abstract:
  Ferromagnetism and its evolution in the orthorhombic perovskite system
Sr1-xCaxRuO3 have been widely believed to correlate with the structural
distortion. The recent development of high-pressure synthesis of the Ba
substituted Sr1-yBayRuO3 makes it possible to study ferromagnetism over a
broader phase diagram, which includes new orthorhombic Imma and the cubic
phases. However, the chemical substitutions introduce the A-site disorder
effect on Tc, which complicates determination of the relationship between
ferromagnetism and the structural distortion. By clarifying the site disorder
effect on Tc in several new series of ruthenates in which the average bond
length <A-O> keeps the same, but the bond-length variance varies, we are able
to demonstrate a parabolic curve of Tc versus mean bond length <A-O>. A much
higher Tc ~ 177 K than that found in orthorhombic SrRuO3 can be obtained from
the curve at a bond length <A-O> which makes the geometric factor t =
<A-O>/(sqrt(2)<Ru-O>) = 1. This new result reveals not only that the
ferromagnetism in the ruthenates is extremely sensitive to the lattice strain,
but also that it has an important implication for exploring the
structure-property relationship in a broad range of oxides with perovskite or
perovskite-related structure.


title: Luminosity function of GRBs

abstract:
  The luminosity function (LF) statistics applied to the BATSE GRBs (sources of
GUSBAD catalog) is the theme approached in this work. The LF is a strong
statistical tool to extract useful information from astrophysical samples,
where the key point of this statistical analysis is in the detector
sensitivity, where we have performed careful analysis. We applied the tool of
the LF statistics to three GRB classes predicted by the Fireshell model. One of
the main differences between the Fireshell and Fireball models is the
explanation of the GRB prompt emission, where the first claims that it is
divided in two physical processes: 1) transparency of a optically thick
Freshell producing the P-GRB emission and 2) interaction of a relativistic
shell (composed by baryons electron-positron-photon) against the CBM
(circumburst medium), producing the emission so-called extended afterglow peak
(EAP). However, the Fireball model, the most quoted one, claims that the prompt
emission is caused by interactions among several relativistic shells (composed
by electron-positron-photon) with different Lorentz factors, a process called
internal shocks. The transparency produces a strong short emission in the
beginning, called P-GRB. Thus, to the Fireshell model, the prompt emission is
P-GRB plus EAP. We produced, by LF statistics, predicted distributions of: peak
flux, redshift and peak luminosity for the three GRB classes predicted by
Fireshell model, we also used three GRB rates. We looked for differences among
the distributions, and in fact we found. We performed a comparison between the
distributions predicted and observed (with and without redshifts), where we had
to build a list with 220 GRBs with known redshifts. We also estimated the
effects of the Malmquist bias in all samples, and we looked for a correlation
between the isotropic luminosity and the Band peak spectral energy.


title: On volume-preserving vector fields and finite type invariants of knots

abstract:
  We consider the general nonvanishing, divergence-free vector fields defined
on a domain in three space and tangent to its boundary. Based on the theory of
finite type invariants, we define a family of invariants for such fields, in
the style of Arnold's asymptotic linking number. Our approach is based on the
configuration space integrals due to Bott and Taubes.


title: Baryon as dyonic instanton-II. Baryon mass versus chiral condensate

abstract:
  We discuss the description of baryon as the dyonic instanton in holographic
QCD. The solution generalizes the Skyrmion taking into account the infinite
tower of vector and axial mesons as well as the chiral condensate. We construct
the solution with unit baryon charge and study the dependence of its mass on
the chiral condensate. The elegant explanation of the Ioffe's formula has been
found and we speculate on the relation between physical scales of the chiral
and conformal symmetry breaking.


title:
Coherent phonon induced optical modulation in semiconductors at
  terahertz frequencies

abstract:
  The coherent modulation of electronic and vibrational nonlinearities in atoms
and molecular gases by intense few-cycle pulses has been used for high-harmonic
generation in the soft X-ray and attosecond regime, as well as for Raman
frequency combs that span multiple octaves from the Terahertz to Petahertz
frequency regions. In principle, similar high-order nonlinear processes can be
excited efficiently in solids and liquids on account of their high nonlinear
polarizability densities. In this paper, we demonstrate the phononic modulation
of the optical index of Si and GaAs for excitation and probing near their
direct band gaps, respectively at ~3.4 eV and ~3.0 eV. The large amplitude
coherent longitudinal optical polarization due to the excitation of
longitudinal optical (LO) phonon of Si (001) and LO phonon-plasmon coupled
modes in GaAs (001) excited by 10-fs laser pulses induces effective amplitude
and phase modulation of the reflected probe light. The combined action of the
amplitude and phase modulation in Si and GaAs generates phonon frequency combs
with more than 100 and 60 THz bandwidth, respectively.


title:
Mechanical control of heat conductivity in microscopic models of
  dielectrics

abstract:
  We discuss a possibility to control a heat conductivity in simple
one-dimensional models of dielectrics by means of external mechanical loads. To
illustrate such possibilities we consider first a well-studied chain with
degenerate double-well potential of the interparticle interaction. Contrary to
previous studies, we consider varying length of the chain with fixed number of
particles. Number of possible energetically degenerate ground states strongly
depends on the overall length of the chain, or, in other terms, on average
length of the link between neighboring particles. These degenerate states
correspond to mechanical equilibrium, therefore one can say that the transition
between them mimics to some extent a process of plastic deformation. We
demonstrate that such modification of the chain length can lead to quite
profound (almost five-fold) reduction of the heat conduction coefficient. Even
more profound effect is revealed for a model with single-well non-convex
potential. It is demonstrated that in certain range of constant external
forcing this model becomes "effectively"\ double-well, and has a multitude of
possible states of equilibrium for the same value of the external load. Thus,
the heat conduction coefficient can be reduced by two orders of magnitude. We
suggest a mechanical model of a chain with periodic double-well potential,
which allows control over the heat conduction. The models considered may be
useful for description of heat transport in biological macromolecules and for
control of the heat transport in microsystems.


title:
"The direct approach" for a proof of the generalized Ito-Wentzell
  formula for a generalized stochastic differential equation

abstract:
  This paper is complete proof of one method for obtaining the generalized
Ito-Wentzell formula, its basic idea was announced earlier in a pre-print
(arXiv:1309.3038v1). This proof sets the approach which uses the Ito formula
and the stochastic approximation theory.


title:
Phases and fluctuations in a model for asymmetric inhomogeneous fluid
  membranes

abstract:
  We propose and analyze a model for phase transitions in an inhomogeneous
fluid membrane, that couples local composition with curvature nonlinearly. For
asymmetric membranes, our model shows generic non-Ising behavior and the
ensuing phase diagram displays either a first- or a second-order phase
transition through a critical point (CP) or a tricritical point (TP), depending
upon the bending modulus. It predicts generic nontrivial enhancement in
fluctuations of asymmetric membranes that scales with system size in a power
law fashion at the CP and TP in two dimensions, not observed in symmetric
membranes. It also yields two-dimensional Ising universality class for
symmetric membranes, in agreement with experimental results.


title: Aurorae in Australian Aboriginal Traditions

abstract:
  Transient celestial phenomena feature prominently in the astronomical
knowledge and traditions of Aboriginal Australians. In this paper, I collect
accounts of the Aurora Australis from the literature regarding Aboriginal
culture. Using previous studies of meteors, eclipses, and comets in Aboriginal
traditions, I anticipate that the physical properties of aurora, such as their
generally red colour as seen from southern Australia, will be associated with
fire, death, blood, and evil spirits. The survey reveals this to be the case
and also explores historical auroral events in Aboriginal cultures, aurorae in
rock art, and briefly compares Aboriginal auroral traditions with other global
indigenous groups, including the Maori of New Zealand.


title: Nuclear astrophysics and electron beams

abstract:
  Electron beams provide important probes and constraints for nuclear
astrophysics. This is especially exciting at energies within the regime of
chiral effective field theory (EFT), which provides a systematic expansion for
nuclear forces and electroweak operators based on quantum chromodynamics. This
talk discusses some recent highlights and future directions based on chiral
EFT, including nuclear structure and reactions for astrophysics, the neutron
skin and constraints for the properties of neutron-rich matter in neutron stars
and core-collapse supernovae, and the dark matter response of nuclei.


title: Comment on "On the proper behavior of atoms" by Paul Anglin

abstract:
  Paul Anglin criticised our analysis of the neoclassical theory of the firm,
but makes a number of incorrect assertions about our assumptions. We correct
these misunderstandings, but acknowledge that one criticism he makes is
correct. We correct this flaw with a new argument that supersedes the flawed
strategic reaction argument we presented in our previous paper.


title:
A generalised family of ratio product estimator using transformation
  equation

abstract:
  In this paper we deal with the estimation of population variance of the study
variable y using auxiliary information on variable x. A family of ratio and
product-type estimators are proposed using suitable transformation on both
random variable x(auxiliary variable) and(study variable).Up to the first order
of approximation the expression of mean square error and Bias term are
obtained. An empirical study is carried out to illustrate the performance of
the constructed estimator over others.


title: Double core polarization contribution to atomic PNC and EDM calculations

abstract:
  We present a detailed study of the effect of the double core polarization
(the polarization of the core electrons due to the simultaneous action of the
electric dipole and parity-violating weak fields) for amplitudes of the s-s and
s-d parity non-conserving transitions in Rb, Cs, Ba +, La 2+, Tl, Fr, Ra +, Ac
2+ and Th 3+ as well as electron EDM enhancement factors for the ground states
of the above neutral atoms and Au. This effect is quite large and has the
potential to resolve some disagreement between calculations in the literature.
It also has significant consequences for the use of experimental data in the
accuracy analysis.


title:
The Kappa Andromedae System: New Constraints on the Companion Mass,
  System Age & Further Multiplicity

abstract:
  Kappa Andromedae is a B9IVn star at 52 pc for which a faint substellar
companion separated by 55 AU was recently announced. In this work, we present
the first spectrum of the companion, "kappa And B," using the Project 1640
high-contrast imaging platform. Comparison of our low-resolution YJH-band
spectra to empirical brown dwarf spectra suggests an early-L spectral type.
Fitting synthetic spectra from PHOENIX model atmospheres to our observed
spectrum allows us to constrain the effective temperature to ~2000K, as well as
place constraints on the companion surface gravity. Further, we use previously
reported log(g) and effective temperature measurements of the host star to
argue that the kappa And system has an isochronal age of 220 +/- 100 Myr, older
than the 30 Myr age reported previously. This interpretation of an older age is
corroborated by the photometric properties of kappa And B, which appear to be
marginally inconsistent with other 10-100 Myr low-gravity L-dwarfs for the
spectral type range we derive. In addition, we use Keck aperture masking
interferometry combined with published radial velocity measurements to rule out
the existence of any tight stellar companions to kappa And A that might be
responsible for the system's overluminosity. Further, we show that luminosity
enhancements due to a nearly "pole-on" viewing angle coupled with extremely
rapid rotation is unlikely. Kappa And A is thus consistent with its slightly
evolved luminosity class (IV) and we propose here that kappa And, with a
revised age of 220 +/- 100 Myr, is an interloper to the 30 Myr Columba
association with which it was previously associated. The photometric and
spectroscopic evidence for kappa And B combined with our re-assesment of the
system age implies a substellar companion mass of 50^{+16}_{-13} Jupiter
Masses, consistent with a brown dwarf rather than a planetary mass companion.


title: Electronic transport in DNA functionalized graphene sensors

abstract:
  A theoretical understanding of the experimental electronic transport
phenomena in gas sensors based on DNA functionalized graphene is presented by
quantitatively investigating the time-dependent electronic transport in these
devices using the nonequilibrium Green's function (NEGF) formalism and
tight-binding approximation. The time-dependent zeroth and first order
contributions to the current are calculated with derivations of the equation of
motion and Dyson equation. The zeroth order contribution is identified as the
time-dependent Landauer formula in terms of the slow time variable and the
first order contribution is found to be small in this experiment. The current
is explicitly calculated by deriving a formula for the transmission function
and considering a form for the hopping integral which includes the effect of
chemical vapors on the charge distribution of the carbon atoms and the
nearest-neighbor carbon-carbon distance $\rm a_{cc}$. Theoretical results are
found in agreement with the experimental results. A shift in the Fermi level
($\rm \varepsilon_f$) is calculated, which is a result of shift in the Dirac
point due to adsorption of vapors on the DNA functionalized graphene. The work
suggests that using the same values of change in $\rm a_{cc}$ due to the four
DNA bases for a specific target vapor, the theoretical values of the current
response can be predicted for different DNA sequences leading to the
application of the graphene sensors as a DNA analyser.


title:
Exact kinetic theory for the instability of an electron beam in a hot
  magnetized plasma

abstract:
  Efficiency of collective beam-plasma interaction strongly depends on the
growth rates of dominant instabilities excited in the system. Nevertheless,
exact calculations of the full unstable spectrum in the framework of
relativistic kinetic theory for arbitrary magnetic fields and particle
distributions were unknown until now. In this paper we give an example of such
a calculation answering the question whether the finite thermal spreads of
plasma electrons are able to suppress the fastest growing modes in the
beam-plasma system. It is shown that nonrelativistic temperatures of Maxwellian
plasmas can stabilize only the oblique instabilities of relativistic beam. On
the contrary, non-Maxwellian tails typically found in laboratory beam-plasma
experiments are able to substantially reduce the growth rate of the dominant
longitudinal modes affecting the efficiency of turbulent plasma heating.


title:
Hydrogen Burning on Accreting White Dwarfs: Stability, Recurrent Novae,
  and the Post-Novae Supersoft Source

abstract:
  We examine the properties of white dwarfs (WDs) accreting hydrogen-rich
matter in and near the stable burning regime of accretion rates as modeled by
time-dependent calculations done with Modules for Experiments in Stellar
Astrophysics (MESA). We report the stability boundary for WDs of masses between
0.51 solar masses and 1.34 solar masses as found via time-dependent
calculations. We also examine recurrent novae that are accreting at rates close
to, but below, the stable burning limit and report their recurrence times and
ignition masses. Our dense grid in accretion rates finds the expected minimum
possible recurrence times as a function of the WD mass. This enables inferences
to be made about the minimum WD mass possible to reach a specific recurrence
time. We compare our computational models of post-outburst novae to the stably
burning WDs and explicitly calculate the duration and effective temperature
(Teff) of the post-novae WD in the supersoft phase. We agree with the measured
turnoff time - Teff relation in M31 by Henze and collaborators, infer WD masses
in the 1.0-1.3 solar masses range, and predict ejection masses consistent with
those observed. We close by commenting on the importance of the hot helium
layer generated by stable or unstable hydrogen burning for the short- and
long-term evolution of accreting white dwarfs.


title:
Informational Confidence Bounds for Self-Normalized Averages and
  Applications

abstract:
  We present deviation bounds for self-normalized averages and applications to
estimation with a random number of observations. The results rely on a peeling
argument in exponential martingale techniques that represents an alternative to
the method of mixture. The motivating examples of bandit problems and context
tree estimation are detailed.


title:
On diffusion phenomena for the linear wave equation with space-dependent
  damping

abstract:
  In this paper, we prove the diffusion phenomenon for the linear wave equation
with space-dependent damping. We prove that the asymptotic profile of the
solution is given by a solution of the corresponding heat equation in the
$L^2$-sense.


title: Weak type estimates for the absolute value mapping

abstract:
  We prove that if A and B are bounded self-adjoint operators such that A-B
belongs to the trace class, then |A| -|B| belongs to the principal ideal
L_{1,\infty} in the algebra L(H) of all bounded operators on an
infinite-dimensional Hilbert space generated by an operator whose sequence of
eigenvalues is {1, 1/2, 1/3, 1/4, ...}. Moreover, \mu(j;|A| -|B|)\leq const(1 +
j)^{-1}\|A-B\|_1. We also obtain a semifinite version of this result, as well
as the corresponding commutator estimates.


title:
Quantum state transfer in the presence of non homogeneous external
  potentials

abstract:
  Heisenberg-type spin models in the limit of a low number of excitations are
useful tools to study basic mechanisms in strongly correlated and magnetic
systems. Many of these mechanisms can be experimentally tested using ultracold
atoms. Here, we discuss the implementation of a quantum state transfer protocol
in a tight-binding chain in the presence of an inhomogeneous external
potential. We show that it can be used to extend the parameter range in which
high fidelity state transfer can be achieved beyond the well established
weak-coupling regime. Among the class of mirror-reflecting potentials that
allow for high-fidelity quantum state transfer, the harmonic case is especially
relevant because it allows us to formulate a proposal for the experimental
implementation of the protocol in the context of optical lattices.


title:
Lowest-lying octet baryon masses in covariant baryon chiral perturbation
  theory

abstract:
  We report on a systematic study of the ground-state octet baryon masses in
the covariant baryon chiral perturbation theory with the extended-on-mass-shell
renormalization scheme up to next-to-next-to-next-to-leading order, taking into
account the contributions of the virtual decuplet baryons. A reasonable
description of the lattice results is achieved by fitting simultaneously all
the publicly available $n_f = 2+1$ lattice QCD data. It confirms that the
various lattice simulations are consistent with each other. We stress that a
self-consistent treatment of finite-volume corrections is important to obtain a
$\chi^2/\rm{d.o.f.}$ about 1.


title: Which finitely generated Abelian groups admit equal growth functions?

abstract:
  We show that finitely generated Abelian groups admit equal growth functions
with respect to symmetric generating sets if and only if they have the same
rank and the torsion parts have the same parity. In contrast, finitely
generated Abelian groups admit equal growth functions with respect to monoid
generating sets if and only if they have same rank. Moreover, we show that the
size of the torsion part is in fact determined by the set of all growth
functions of a finitely generated Abelian group.


title:
Microscopic analysis of $^{11}$Li elastic scattering on protons and
  breakup processes within $^{9}$Li+$2n$ cluster model

abstract:
  In the paper, the results of analysis of elastic scattering and breakup
processes in interactions of the $^{11}$Li nucleus with protons are presented.
The hybrid model of the microscopic optical potential (OP) is applied. This OP
includes the single-folding real part, while its imaginary part is derived
within the high-energy approximation (HEA) theory. For the $^{11}$Li$+p$
elastic scattering, the microscopic large-scale shell model (LSSM) density of
$^{11}$Li is used. The depths of the real and imaginary parts of OP are fitted
to the elastic scattering data at 62, 68.4, and 75 MeV/nucleon, being
simultaneously adjusted to reproduce the true energy dependence of the
corresponding volume integrals. The role of the spin-orbit potential is studied
and predictions for the total reaction cross sections are made. Also, the
cluster model, in which $^{11}$Li consists of $2n$-halo and the $^{9}$Li core
having its own LSSM form of density, is adopted. The respective microscopic
proton-cluster OP's are calculated and folded with the density probability of
the relative motion of both clusters to get the whole $^{11}$Li$+p$ optical
potential. The breakup cross sections of $^{11}$Li at 62 MeV/nucleon and
momentum distributions of the cluster fragments are calculated. An analysis of
the single-particle density of $^{11}$Li within the same cluster model
accounting for the possible geometric forms of the halo-cluster density
distribution is performed.


title: Stellar Core Collapse with Hadron-Quark Phase Transition

abstract:
  Hadronic matter undergoes a deconfinement transition to quark matter at high
temperature and/or high density. It would be realized in collapsing cores of
massive stars. In the framework of MIT bag model, the ambiguities of the
interaction are encapsulated in the bag constant. Some progenitor stars that
invoke the core collapses explode as supernovae, and other ones become black
holes. The fates of core collapses are investigated for various cases.
Equations of state including the hadron-quark phase transition are constructed
for the cases of the bag constant B=90, 150 and 250 MeV fm^{-3}. To describe
the mixed phase, the Gibbs condition is used. Adopting the equations of state
with different bag constants, the core collapse simulations are performed for
the progenitor models with 15 and 40Msolar. If the bag constant is small as
B=90 MeV fm^{-3}, an interval between the bounce and black hole formation is
shortened drastically for the model with 40Msolar and the second bounce revives
the shock wave leading to explosion for the model with 15Msolar.


title: On the Hochschild homology of open Frobenius algebras

abstract:
  We prove that the shifted Hochschild chain complex $C\_*(A,A)[m]$ of a
symmetric open Frobenius algebra $A$ of degree $m$ has a natural homotopy
coBV-algebra structure. As a consequence $HH\_*(A,A)[m]$ and
$HH^*(A,A^\vee)[-m]$ are respectively coBV and BV algebras. The underlying
coalgebra and algebra structure may not be resp. counital and unital. We also
introduce a natural homotopy BV-algebra structure on $C\_*(A,A)[m]$ hence a
BV-structure on $HH\_*(A,A)[m]$. Moreover we prove that the product and
coproduct on $HH\_*(A,A)[m]$ satisfy the Frobenius compatibility condition i.e.
$HH\_*(A,A)[m]$ is an open Frobenius algebras. If $A$ is commutative, we also
introduce a natural BV structure on the shifted relative Hochschild homology
$\widetilde{HH}\_*(A)[m-1]$. We conjecture that the product of this BV
structure is identical to the Goresky-Hingston\cite{GH} product on the
cohomology of free loop spaces when $A$ is a commutative cochain algebra model
for $M$.


title: Pion photo- and electroproduction with chiral MAID

abstract:
  We present a calculation of pion photo- and electroproduction in manifestly
Lorentz-invariant baryon chiral perturbation theory up to and including order
$q^4$. We fix the low-energy constants by fitting experimental data in all
available reaction channels. Our results can be accessed via a web interface,
the so-called chiral MAID. We explain how our program works and how it can be
used for further analysis.


title:
On spherical Monte Carlo simulations for multivariate normal
  probabilities

abstract:
  The calculation of multivariate normal probabilities is of great importance
in many statistical and economic applications. This paper proposes a spherical
Monte Carlo method with both theoretical analysis and numerical simulation.
First, the multivariate normal probability is rewritten via an inner radial
integral and an outer spherical integral by the spherical transformation. For
the outer spherical integral, we apply an integration rule by randomly rotating
a predetermined set of well-located points. To find the desired set, we derive
an upper bound for the variance of the Monte Carlo estimator and propose a set
which is related to the kissing number problem in sphere packings. For the
inner radial integral, we employ the idea of antithetic variates and identify
certain conditions so that variance reduction is guaranteed. Extensive Monte
Carlo experiments on some probabilities calculation confirm these claims.


title: A Subspace Technique for The Identification of Switched Affine Models

abstract:
  The problem of estimating parameters of switched affine systems with noisy
input-output observations is considered. The switched affine models is
transformed into a switched linear one by removing its intersection subspace,
which is estimated from observations. A subspace technique is proposed to
exploit the observations' permutation structure, which transforms the problem
of associating observations with subsystems into one of de-permutating a block
diagonal matrix, referred as adjacency matrix. Then a normalized spectral
clustering algorithm is presented to recover the block structure of adjacency
matrix, from which each observation is related to a particular subsystem. With
the labelled observations, parameters of the submodel are estimated via the
total least squares (TLS) estimator. The proposed technique is applicable to
switched affine systems with arbitrarily shaped domain partitions, and it
offers significantly improved performance and lowered computation complexity
than existing techniques.


title:
Self-field Effects and AC Losses in Pancake Coils Assembled from Coated
  Conductor Roebel Cables

abstract:
  In this contribution we develop a refined numerical model of pancake coils
assembled from a coated conductor Roebel cable, which includes the angular
dependence of the critical current density $J_c$ on the magnetic field and the
actual (three-dimensional) shape of the current lead used to inject the
current. Previous works of ours indicate that this latter has an important
influence on the measured value of the AC losses. For the simulation of the
superconductor, we used two alternative models based on different descriptions
of the superconductor's properties and implemented in different mathematical
schemes. For the simulation of the current lead we use a full three-dimensional
finite-element model. The results of the simulation are compared with
measurements and the main issues related to the modeling and the measurement of
Roebel coils are discussed in detail.


title:
Inclusive J/psi and psi(2S) production from b-hadron decay in p anti-p
  and pp collisions

abstract:
  We study the inclusive production of J/psi and psi(2S) mesons originating
from the decays of bottom-flavored hadrons produced in p anti-p collisions at
the Fermilab Tevatron and in pp collisions at the CERN LHC. We work at
next-to-leading order in the general-mass variable-flavor-number scheme
(GM-VFNS) implemented with nonperturbative fragmentation functions fitted to
e^+e^- data of inclusive b-hadron production exploiting their universality. The
three-momentum distributions of the charmonia used were extracted from B-decay
data in the framework of nonrelativistic-QCD factorization. Comparing the
theoretical predictions thus obtained with transverse-momentum distributions
measured by the CDF II, ALICE, ATLAS, CMS, and LHCb Collaborations, we find
excellent overall agreement as for both absolute normalization and lineshape,
which provides a nontrivial test of the GM-VFNS over wide ranges of
center-of-mass energy, transverse momentum, and rapidity.


title: The role of low-mass star clusters in massive star formation in Orion

abstract:
  To distinguish between the different theories proposed to explain massive
star formation, it is crucial to establish the distribution, the extinction,
and the density of low-mass stars in massive star-forming regions. We analyzed
deep X-ray observations of the Orion massive star-forming region using the
Chandra Orion Ultradeep Project (COUP) catalog. We found that pre-main sequence
(PMS) low-mass stars cluster toward the three massive star-forming regions: the
Trapezium Cluster (TC), the Orion Hot Core (OHC), and OMC1-S. We derived
low-mass stellar densities of 10^{5} stars pc^{-3} in the TC and OMC1-S, and of
10^{6} stars pc^{-3} in the OHC. The close association between the low-mass
star clusters with massive star cradles supports the role of these clusters in
the formation of massive stars. The X-ray observations show for the first time
in the TC that low-mass stars with intermediate extinction are clustered toward
the position of the most massive star, which is surrounded by a ring of
non-extincted low-mass stars. Our analysis suggests that at least two basic
ingredients are needed in massive star formation: the presence of dense gas and
a cluster of low-mass stars. The scenario that better explains our findings
assumes high fragmentation in the parental core, accretion at subcore scales
that forms a low-mass stellar cluster, and subsequent competitive accretion.


title: CosMO - A Cosmic Muon Observer Experiment for Students

abstract:
  What are cosmic particles and where do they come from? These are questions
which are not only fascinating for scientists in astrophysics. With the CosMO
experiment (Cosmic Muon Observer) students can autonomously study these
particles. They can perform their own hands-on experiments to become familiar
with modern scientific working methods and to obtain a direct insight into
astroparticle physics. In this contribution we present the experimental setup
and possible measurements. The detector consists of three scintillator boxes.
Events are triggered and read out by a data acquisition board developed for the
QuarkNet Project. With a Python program running on a netbook under Linux, the
trigger and data taking conditions can be defined. The program displays the
particle rates in real-time and stores the data for offline analysis. Possible
student experiments are the measurement of cosmic particle rates dependent on
the zenith angle, the distribution of geometrical size of particle showers, and
the lifetime of muons. Twenty CosMO detectors have been built at DESY. They are
used within the German outreach network Netzwerk Teilchenwelt at 15
astroparticle-research institutes and universities for project work with
students.


title: Some aspects of shift-like automorphisms of C^k

abstract:
  The goal of this article is two fold. First, using transcendental shift-like
automorphisms of C^k, k > 2 we construct two examples of non-degenerate entire
mappings with prescribed ranges. The first example exhibits an entire mapping
of C^k, k > 2 whose range avoids a given polydisc but contains the complement
of a slightly larger concentric polydisc. This generalizes a result of
Dixon-Esterle in C^2. The second example shows the existence of a
Fatou--Bieberbach domain in C^k,k > 2 that is constrained to lie in a
prescribed region. This is motivated by similar results of Buzzard and
Rosay-Rudin. In the second part we compute the order and type of entire
mappings that parametrize one dimensional unstable manifolds for shift-like
polynomial automorphisms and show how they can be used to prove a Yoccoz type
inequality for this class of automorphisms.


title:
State of the art in the determination of the fine structure constant:
  test of Quantum Electrodynamics and determination of h/mu

abstract:
  The fine structure constant $\alpha$ has a particular status in physics. Its
precise determination is required to test the quantum electrodynamics (QED)
theory. The constant $\alpha$ is also a keystone for the determination of other
fundamental physical constants, especially the ones involved in the framework
of the future International System of units. This paper presents Paris
experiment, where the fine structure constant is determined by measuring the
recoil velocity of a rubidium atom when it absorbs a photon. The impact of the
recent improvement of QED calculations of the electron moment anomaly and the
recent measurement of the cesium atom recoil at Berkeley will be discussed. The
opportunity to provide a precise value of the ratio $h/m_{\mathrm{u}}$ between
the Planck constant and the atomic mass constant will be investigated.


title:
Three-body model calculations for N=Z odd-odd nuclei with T=0 and T=1
  pairing correlations

abstract:
  We study the interplay between the isoscalar (T=0) and isovector (T=1)
pairing correlations in N=Z odd-odd nuclei from 14N to 58Cu by using three-body
model calculations. The strong spin-triplet T=0 pairing correlation dominates
in the ground state of 14N, 18F, 30P, and 58Cu with the spin-parity J^{\pi}=1+,
which can be well reproduced by the present calculations. The magnetic dipole
and Gamow-Teller transitions are found to be strong in 18F and 42Sc as a
manifestation of SU(4) symmetry in the spin-isospin space. We also discuss the
spin-quadrupole transitions in these nuclei.


title: Stars and Black Holes from the very Early Universe

abstract:
  A mechanism of creation of stellar-like objects in the very early universe,
from the QCD phase transition till BBN and somewhat later, is studied. It is
argued that in the considered process primordial black holes with masses above
a few solar masses up to super-heavy ones could be created. This may explain an
early quasar creation with evolved chemistry in surrounding medium and the low
mass cutoff of the observed black holes. It is also shown that dense primordial
stars can be created at the considered epoch. Such stars could later become
very early supernovae and in particular high redshift gamma-bursters. In a
version of the model some of the created objects can consist of antimatter.


title:
Visibility predicts priming within but not between people: a cautionary
  tale for studies of cognitive individual differences

abstract:
  With resurgent interest in individual differences in perception, cognition
and behavioural control, as early indicators of disease, endophenotypes, or a
means to relate brain structure to function, behavioural tasks are increasingly
being transferred from within-subject settings to between-group or
correlational designs. The assumption is that where we know the mechanisms
underlying within-subject effects, these effects can be used to measure
individual differences in those same mechanisms. However, between-subject
variability can arise from an entirely different source from that driving
within-subject effects, and here we report a clear-cut demonstration of this.
We examined the debated relationship between the visibility of a masked-prime
stimulus and the direction of priming it causes (positive or reversed). Such
reversal of priming has been hypothesized to reflect an automatic inhibitory
mechanism that controls partially activated responses and allows behavioural
flexibility. Within subjects, we found an unambiguous systematic transition
from reversed priming to positive priming as prime visibility increased,
replicated seven times, and using different stimulus manipulations. However,
across individuals there was never a relationship between prime discrimination
ability and priming. Specifically, these data resolve the controversial debate
on visibility and reversed priming, indicating that they arise from independent
processes relying on partially shared stimulus signals. More generally, they
stand as an exemplar case in which variance between individuals arises from a
different source from that produced by stimulus manipulations.


title:
Spin-transfer torque switching below 20 kA/cm$^2$ in perpendicular
  magnetic tunnel junctions

abstract:
  We demonstrate the reduction of critical spin-transfer torque (STT) switching
currents in Co-Fe-B/MgO based magnetic tunnel junctions (MTJ) with
perpendicular magnetization anisotropy (PMA). The junctions yield tunnel
magnetoresistance (TMR) ratios of up to 64% at 4 monolayer (ML) tunnel barrier
thickness. In this paper, the reduction of the critical switching current
density is studied. By optimizing the applied bias field during DC-STT
measurements, ultra low critical switching current densities of less than 20
kA/cm$^2$, even down to 9 kA/cm$^2$, are found. With the reduced switching
currents, our samples are ideal candidates for further experimental studies
such as the theoretical predicted thermally driven spin-transfer torque effect.


title:
Symmetric closed characteristics on symmetric compact convex
  hypersurfaces in $\mathbf{R}^8$: Special cases

abstract:
  Let $\Sigma$ be a $C^3$ compact symmetric convex hypersurface in
$\mathbf{R}^{8}$. For some special cases, we prove that when $\Sigma$ carries
exactly four geometrically distinct closed characteristics, then all of them
must be symmetric.


title: Grand canonical minority game as a sign predictor

abstract:
  In this paper the extended model of Minority game (MG), incorporating
variable number of agents and therefore called Grand Canonical, is used for
prediction. We proved that the best MG-based predictor is constituted by a
tremendously degenerated system, when only one agent is involved. The
prediction is the most efficient if the agent is equipped with all strategies
from the Full Strategy Space. Each of these filters is evaluated and, in each
step, the best one is chosen. Despite the casual simplicity of the method its
usefulness is invaluable in many cases including real problems. The significant
power of the method lies in its ability to fast adaptation if \lambda-GCMG
modification is used. The success rate of prediction is sensitive to the
properly set memory length. We considered the feasibility of prediction for the
Minority and Majority games. These two games are driven by different dynamics
when self-generated time series are considered. Both dynamics tend to be the
same when a feedback effect is removed and an exogenous signal is applied.


title:
GEANT4 Simulation of a Scintillating-Fibre Tracker for the Cosmic-ray
  Muon Tomography of Legacy Nuclear Waste Containers

abstract:
  Cosmic-ray muons are highly penetrative charged particles that are observed
at sea level with a flux of approximately one per square centimetre per minute.
They interact with matter primarily through Coulomb scattering, which is
exploited in the field of muon tomography to image shielded objects in a wide
range of applications. In this paper, simulation studies are presented that
assess the feasibility of a scintillating-fibre tracker system for use in the
identification and characterisation of nuclear materials stored within
industrial legacy waste containers. A system consisting of a pair of tracking
modules above and a pair below the volume to be assayed is simulated within the
GEANT4 framework using a range of potential fibre pitches and module
separations. Each module comprises two orthogonal planes of fibres that allow
the reconstruction of the initial and Coulomb-scattered muon trajectories. A
likelihood-based image reconstruction algorithm has been developed that allows
the container content to be determined with respect to the atomic number Z of
the scattering material. Images reconstructed from this simulation are
presented for a range of anticipated scenarios that highlight the expected
image resolution and the potential of this system for the identification of
high-Z materials within a shielded, concrete-filled container. First results
from a constructed prototype system are presented in comparison with those from
a detailed simulation. Excellent agreement between experimental data and
simulation is observed showing clear discrimination between the different
materials assayed throughout.


title: Evidence for Hot Fast Flow above a Solar Flare Aracade

abstract:
  Solar flares are one of the main forces behind space weather events. However
the mechanism that drives such energetic phenomena is not fully understood. The
standard eruptive flare model predicts that magnetic reconnection occurs high
in the corona where hot fast flows are created. Some imaging or spectroscopic
observations have indicated the presence of these hot fast flows but there have
been no spectroscopic scanning observation to date to measure the
two-dimensional structure quantitatively. We analyzed a flare that occurred on
the west solar limb on 27 January 2012 observed by the Hinode EUV Imaging
Spectrometer (EIS) and found that the hot (~30MK) fast (>500 km/s) component
was located above the flare loop. This is consistent with magnetic reconnection
taking place above the flare loop.


title: Unitarity and singular backgrounds

abstract:
  We compute the graviton Kaluza-Klein spectrum on a gravity-dilaton background
with a naked singularity for all possible boundary conditions at the
singularity which are consistent with unitary evolution. We apply methods from
non-relativistic quantum mechanics with singular Schr\"{o}dinger potentials. In
general the spectrum contains a tachyon, a sign of instability. Only for a
particular boundary condition at the singularity is the spectrum free of
tachyons. In this case the lowest-lying graviton mode is massless. We argue
that this result will also hold for other backgrounds with similar geometry
near the curvature singularity. We complete our study with a brief discussion
on radion perturbations and the Higgs mechanism on this singular background.


title: Towards a Definition of Locality in a Manifoldlike Causal Set

abstract:
  It is a common misconception that spacetime discreteness necessarily implies
a violation of local Lorentz invariance. In fact, in the causal set approach to
quantum gravity, Lorentz invariance follows from the specific implementation of
the discreteness hypothesis. However, this comes at the cost of locality. In
particular, it is difficult to define a "local" region in a manifoldlike causal
set, i.e., one that corresponds to an approximately flat spacetime region.
Following up on suggestions from previous work, we bridge this lacuna by
proposing a definition of locality based on the abundance of m-element
order-intervals as a function of m in a causal set. We obtain analytic
expressions for the expectation value of this function for an ensemble of
causal set that faithfully embeds into an Alexandrov interval in d-dimensional
Minkowski spacetime and use it to define local regions in a manifoldlike causal
set. We use this to argue that evidence of local regions is a necessary
condition for manifoldlikeness in a causal set. This in addition provides a new
continuum dimension estimator. We perform extensive simulations which support
our claims.


title:
Corrections to the expected signal in quantum metrology using highly
  anisotropic Bose-Einstein Condensates

abstract:
  In the quantum metrology protocol described by Tacla et al. [Tacla et al.,
Phys. Rev. A 82, 053636 (2010)] where a two mode Bose-Einstein condensate (BEC)
is used for parameter estimation, the measured quantity is to be obtained by
doing a one parameter fit of the observed data to a theoretically expected
signal. Here we look at different levels of approximation used to model the two
mode BEC to see how the estimate improves when increasing level of detail is
added to the theory while at the same time keeping the expected signal
computable.


title:
Slow-fast stochastic diffusion dynamics and quasi-stationary
  distributions for diploid populations

abstract:
  We are interested in the long-time behavior of a diploid population with
sexual reproduction, characterized by its genotype composition at one
bi-allelic locus. The population is modeled by a 3-dimensional birth-and-death
process with competition, cooperation and Mendelian reproduction. This
stochastic process is indexed by a scaling parameter $K$ that goes to infinity,
following a large population assumption. When the birth and natural death
parameters are of order $K$, the sequence of stochastic processes indexed by
$K$ converges toward a slow-fast dynamics. We indeed prove the convergence
toward 0 of a fast variable giving the deviation of the population from
Hardy-Weinberg equilibrium, while the sequence of slow variables giving the
respective numbers of occurrences of each allele converges toward a
2-dimensional diffusion process that reaches $(0,0)$ almost surely in finite
time. We obtain that the population size and the proportion of a given allele
converge toward a generalized Wright-Fisher diffusion with varying population
size and diploid selection. Using a non trivial change of variables, we next
study the absorption of this diffusion and its long time behavior conditioned
on non-extinction. In particular we prove that this diffusion starting from any
non-trivial state and conditioned on not hitting $(0,0)$ admits a unique
quasi-stationary distribution. We finally give numerical approximations of this
quasi-stationary behavior in three biologically relevant cases: neutrality,
overdominance, and separate niches.


title: Memory-assisted measurement-device-independent quantum key distribution

abstract:
  A protocol with the potential of beating the existing distance records for
conventional quantum key distribution (QKD) systems is proposed. It borrows
ideas from quantum repeaters by using memories in the middle of the link, and
that of measurement-device-independent QKD, which only requires optical source
equipment at the user's end. For certain fast memories, our scheme allows a
higher repetition rate than that of quantum repeaters, thereby requiring lower
coherence times. By accounting for various sources of nonideality, such as
memory decoherence, dark counts, misalignment errors, and background noise, as
well as timing issues with memories, we develop a mathematical framework within
which we can compare QKD systems with and without memories. In particular, we
show that with the state-of-the-art technology for quantum memories, it is
possible to devise memory-assisted QKD systems that, at certain distances of
practical interest, outperform current QKD implementations.


title: Reposition time in probabilistic imperfect memories

abstract:
  We present the analysis of behavior of N identical finite time memories with
the imperfections characterized by a step-function model, based on a study of
independent copies of the geometric distribution. We show a step-by-step
derivation of a formula for the average waiting time for obtaining N successes
within a given time span {\tau}, which was used recently in the analysis of
quantum repeater rates.


title: On the share of closed IL formulas which are also in GL

abstract:
  Normal forms for wide classes of closed IL formulas were given in [4]. Here
we quantify asymptotically, in exact numbers, how wide those classes are. As a
consequence, we show that the "majority" of closed IL formulas have
GL-equivalents, and by that, they have the same normal forms as GL formulas.
Our approach is entirely syntactical, except for applying the results of [4].
As a byproduct we devise a convenient way of computing asymptotic behaviors of
somewhat general classes of formulas given by their grammar rules. Its
applications do not require any knowledge of the recurrence relations,
generating functions, or the asymptotic enumeration methods, as all these are
incorporated into two fundamental parameters.


title:
Correlation between the phase diagram and the crystal-field wave
  functions of CeRh(1-x)Ir(x)In5

abstract:
  The 4f crystal-electric field ground state wave functions of
CeRh(1-x)Ir(x)In5 have been determined by linear polarization dependent soft
x-ray absorption spectroscopy (XAS) at T = 8 K. We demonstrate that these
ground state wave functions correlate with the phase diagram of the
substitution series, which covers long-range antiferromagnetic order,
unconventional superconductivity, and coexistence of these two states. We
discuss how certain wave functions could affect magnetic order and anisotropic
hybridization, facilitating the formation of a superconducting ground state at
low temperatures.


title: Thermomagnetic instability of a rotating magnetized plasma disk

abstract:
  We analyze the stability of a thin plasma disk which is rotating around a
compact astrophysical object and is embedded in the strong magnetic field of
such a source. The aim of this study is the determination of a new type of
unstable modes, able to replace the magneto-rotational instability profile for
low beta-values and for sufficiently small scales of the perturbations, where
it fails. In particular, we consider the magneto-hydrodynamical scheme
including a non-zero Nernst coefficient, corresponding to first-order
collisional effects. As a result, modes with imaginary frequency lead to an
instability regime when the magnetic tension vanishes. Finally, we show that,
even in the presence of resistive effects, it remains a good candidate to
ensure the onset of a turbulent behavior in the absence of the
magneto-rotational instability.


title:
Skyrmion spin texture in ferromagnetic semiconductor-superconductor
  heterostructures

abstract:
  We provide a derivation of a spin Skyrmion number classification for
two-dimensional topological superconductors constructed from ferromagnetic and
Rashba spin-orbit coupled semiconductor-superconductor heterostructures. We
show that in the non-trivial topological phase, characterized by a non-zero
Chern number, there is always a topological spin texture in the occupied bands
represented by a Skyrmion number. The Skyrmion number has the advantage of
being both physically intuitive and directly measurable using spin-sensitive
band structure imaging techniques. In addition, we show that the Skyrmion
classification can be extended to the equivalent one-dimensional topological
superconductors.


title: Power Suppression at Large Scales in String Inflation

abstract:
  We study a possible origin of the anomalous suppression of the power spectrum
at large angular scales in the cosmic microwave background within the framework
of explicit string inflationary models where inflation is driven by a closed
string modulus parameterizing the size of the extra dimensions. In this class
of models the apparent power loss at large scales is caused by the background
dynamics which involves a sharp transition from a fast-roll power law phase to
a period of Starobinsky-like slow-roll inflation. An interesting feature of
this class of string inflationary models is that the number of e-foldings of
inflation is inversely proportional to the string coupling to a positive power.
Therefore once the string coupling is tuned to small values in order to trust
string perturbation theory, enough e-foldings of inflation are automatically
obtained without the need of extra tuning. Moreover, in the less tuned cases
the sharp transition responsible for the power loss takes place just before the
last 50-60 e-foldings of inflation. We illustrate these general claims in the
case of Fibre Inflation where we study the strength of this transition in terms
of the attractor dynamics, finding that it induces a pivot from a blue to a
redshifted power spectrum which can explain the apparent large scale power
loss. We compute the effects of this pivot for example cases and demonstrate
how magnitude and duration of this effect depend on model parameters.


title: Low-l CMB Power Loss in String Inflation

abstract:
  The lack of power on large scales (l < 40) might have been observed by the
PLANCK satellite. We argue that this putative feature can be explained by a
phase of fast roll at the onset of inflation. We show that in the context of
single field models what is required is an asymmetric inflection point model of
which fibre inflation is a string motivated example. We study the ability of
fibre inflation to generate a suppression of the CMB 2-point function power at
low l, finding that the potential derived from string loops is not steep enough
for this purpose. We introduce a steeper contribution to the potential, that
dominates away from the inflationary region, and show that if properly tuned it
can indeed lead to a spectrum with lack of power at large scales.


title: Entangled phonons in atomic Bose-Einstein condensates

abstract:
  We theoretically study the entanglement between phonons spontaneously
generated in atomic Bose-Einstein condensates by analog Hawking and dynamical
Casimir processes. The quantum evolution of the system is numerically modeled
by a truncated Wigner method based on a full microscopic description of the
condensate and state non-separability is assessed by applying a generalized
Peres-Horodecki criterion. The peculiar distribution of entanglement is
described in both real and momentum spaces and its robustness against
increasing initial temperature is investigated. Viable strategies to
experimentally detect the predicted phonon entanglement are briefly discussed.


title: Charmonium Potentials At Non-Zero Temperature

abstract:
  The charmonium potential at non-zero temperature has been studied using gauge
configurations with anisotropic lattices and 2+1 dynamical flavors of light sea
quarks. We use the HAL QCD time-dependent method developed for the study of
nucleon-nucleon potentials. To serve as in-put, local-extended charmonium
correlators were calculated. The results are consistent with the expectation
that the potential between heavy quarks should become deconfining at high
temperatures.


title: Grassmannian BGG Complexes and Hodge numbers of irregular varieties

abstract:
  In this paper we investigate the exactness of the Grassmannian BGG complexes
introduced in a previous work (arXiv:1211.2486), and obtain some inequalities
between some Hodge numbers of some irregular varieties. In particular, we
obtain sharp lower bounds for the Hodge numbers of smooth subvarieties of
Abelian varieties, as well as some improvements of results of Lazarsfeld and
Popa and Lombardi concerning threefolds and fourfolds.


title:
Polarization effects on the effective temperature of an ultracold
  electron source

abstract:
  The influence has been studied of the ionization laser polarization on the
effective temperature of an ultracold electron source, which is based on
near-threshold photoionization. This source is capable of producing both
high-intensity and high-coherence electron pulses, with applications in for
example electron diffraction experiments. For both nanosecond and femtosecond
photoionization, a sinusoidal dependence of the temperature on polarization
angle has been found. For most experimental conditions, the temperature is
minimal when the polarization coincides with the direction of acceleration.
However, surprisingly, for nanosecond ionization a regime exists when the
temperature is minimal when the polarization is perpendicular to the
acceleration direction. This shows that in order to create electron bunches
with the highest transverse coherence length, it is important to control the
polarization of the ionization laser. The general trends and magnitudes of the
temperature measurements are described by a model, based on the analysis of
classical electron trajectories; this model further deepens our understanding
of the internal mechanisms during the photoionization process. Furthermore, for
nanosecond ionization, charge oscillations as a function of laser polarization
have been observed; for most situations the oscillation amplitude is small.


title:
A Novel Approach in detecting pose orientation of a 3D face required for
  face

abstract:
  In this paper we present a novel approach that takes as input a 3D image and
gives as output its pose i.e. it tells whether the face is oriented with
respect the X, Y or Z axes with angles of rotation up to 40 degree. All the
experiments have been performed on the FRAV3D Database. After applying the
proposed algorithm to the 3D facial surface we have obtained i.e. on 848 3D
face images our method detected the pose correctly for 566 face images,thus
giving an approximately 67 % of correct pose detection.


title: Long-time Behavior of Random Walks in Random Environment

abstract:
  We study behavior in space and time of random walks in an i.i.d. random
environment on Z^d, d>=3. It is assumed that the measure governing the
environment is isotropic and concentrated on environments that are small
perturbations of the fixed environment corresponding to simple random walk. We
develop a revised and extended version of the paper of Bolthausen and Zeitouni
(2007) on exit laws from large balls, which, as we hope, is easier to follow.
Further, we study mean sojourn times in balls.
  This work is part of the author's PhD thesis under the supervision of Erwin
Bolthausen. A generalization of the results on exit measures to certain
anisotropic random walks in random environment is available at arXiv:1309.3169.


title: 1/f noise in graphene

abstract:
  We present a novel and comprehensive model of 1/f noise in nanoscale graphene
devices that accounts for the unusual and so far unexplained experimental
characteristics. We find that the noise power spectral density versus carrier
concentration of single-layer sheet devices has a behavior characterized by a
shape going from the M to the Gamma type as the material inhomogeneity
increases, whereas the shape becomes of V type in bilayer sheet devices for any
inhomogeneity, or of M type at high carrier concentration. In single-layer
nanoribbons, instead, the ratio of noise to resistance versus the latter
quantity is approximately constant, whereas in the bilayer case it exhibits a
linear decrease on a logarithmic scale as resistance increases and its limit
for zero resistance equals the single-layer value. Noise at the Dirac point is
much greater in single-layer than in bilayer devices and it increases with
temperature. The origin of 1/f noise is attributed to the traps in the device
and to their relaxation time dispersion. The coupling of trap charge
fluctuations with the electrode current is computed according to the
electrokinematics theorem, by taking into account their opposite effects on
electrons and holes as well as the device inhomogeneities. The results agree
well with experiments.


title: Indexing by Latent Dirichlet Allocation and Ensemble Model

abstract:
  The contribution of this paper is two-fold. First, we present Indexing by
Latent Dirichlet Allocation (LDI), an automatic document indexing method. The
probability distributions in LDI utilize those in Latent Dirichlet Allocation
(LDA), a generative topic model that has been previously used in applications
for document retrieval tasks. However, the ad hoc applications, or their
variants with smoothing techniques as prompted by previous studies in LDA-based
language modeling, result in unsatisfactory performance as the document
representations do not accurately reflect concept space. To improve
performance, we introduce a new definition of document probability vectors in
the context of LDA and present a novel scheme for automatic document indexing
based on LDA. Second, we propose an Ensemble Model (EnM) for document
retrieval. The EnM combines basis indexing models by assigning different
weights and attempts to uncover the optimal weights to maximize the Mean
Average Precision (MAP). To solve the optimization problem, we propose an
algorithm, EnM.B, which is derived based on the boosting method. The results of
our computational experiments on benchmark data sets indicate that both the
proposed approaches are viable options for document retrieval.


title: Shear banding in soft glassy materials

abstract:
  Many soft materials, including foams, dense emulsions, micro gel bead
suspensions, star polymers, dense packing of surfactant onion micelles, and
textured morphologies of liquid crystals, share the basic "glassy" features of
structural disorder and metastability. These in turn give rise to several
notable features in the low frequency shear rheology (deformation and flow
properties) of these materials: in particular, the existence of a yield stress
below which the material behaves like a solid, and above which it flows like a
liquid. In the last decade, intense experimental activity has also revealed
that these materials often display a phenomenon known as shear banding, in
which the flow profile across the shear cell exhibits macroscopic bands of
different viscosity. Two distinct classes of yield stress fluid have been
identified: those in which the shear bands apparently persist permanently (for
as long as the flow remains applied), and those in which banding arises only
transiently during a process in which a steady flowing state is established out
of an initial rest state (for example, in a shear startup or step stress
experiment). After surveying the motivating experimental data, we describe
recent progress in addressing it theoretically, using the soft glassy rheology
model and a simple fluidity model. We also briefly place these theoretical
approaches in the context of others in the literature, including elasto-plastic
models, shear transformation zone theories, and molecular dynamics simulations.
We discuss finally some challenges that remain open to theory and experiment
alike.


title:
The behavior of transverse waves in nonuniform solar flux tubes. I.
  Comparison of ideal and resistive results

abstract:
  Magnetohydrodynamic (MHD) waves are ubiquitously observed in the solar
atmosphere. Kink waves are a type of transverse MHD waves in magnetic flux
tubes that are damped due to resonant absorption. The theoretical study of kink
MHD waves in solar flux tubes is usually based on the simplification that the
transverse variation of density is confined to a nonuniform layer much thinner
than the radius of the tube, i.e., the so-called thin boundary approximation.
Here, we develop a general analytic method to compute the dispersion relation
and the eigenfunctions of ideal MHD waves in pressureless flux tubes with
transversely nonuniform layers of arbitrary thickness. Results for kink waves
are produced and are compared with fully numerical resistive MHD eigenvalue
computations in the limit of small resistivity. We find that the frequency and
resonant damping rate are the same in both ideal and resistive cases. The
actual results for thick nonuniform layers deviate from the behavior predicted
in the thin boundary approximation and strongly depend on the shape of the
nonuniform layer. The eigenfunctions in ideal MHD are very different from those
in resistive MHD. The ideal eigenfunctions display a global character
regardless of the thickness of the nonuniform layer, while the resistive
eigenfunctions are localized around the resonance and are indistinguishable
from those of ordinary resistive Alfv\'en modes. Consequently, the spatial
distribution of wave energy in the ideal and resistive cases is dramatically
different. This poses a fundamental theoretical problem with clear
observational consequences.


title:
Photon-Assisted Tunneling through Molecular Conduction Junctions with
  Graphene Electrodes

abstract:
  Graphene electrodes provide a suitable alternative to metal contacts in
molecular conduction nanojunctions. Here, we propose to use graphene electrodes
as a platform for effective photon assisted tunneling through molecular
conduction nanojunctions. We predict dramatic increasing currents evaluated at
side-band energies $\sim n\hbar\omega$ ($n$ is a whole number) related to the
modification of graphene gapless spectrum under the action of external
electromagnetic field of frequency $\omega$. A side benifit of using doped
graphene electrodes is the polarization control of photocurrent related to the
processes occurring either in the graphene electrodes or in the molecular
bridge. The latter processes are accompanied by surface plasmon excitation in
the graphene sheet that makes them more efficient. Our results illustrate the
potential of graphene contacts in coherent control of photocurrent in molecular
electronics, supporting the possibility of single-molecule devices.


title:
A method for nose-tip based 3D face registration using maximum intensity
  algorithm

abstract:
  In this paper we present a novel technique of registering 3D images across
pose. In this context, we have taken into account the images which are aligned
across X, Y and Z axes. We have first determined the angle across which the
image is rotated with respect to X, Y and Z axes and then translation is
performed on the images. After testing the proposed method on 472 images from
the FRAV3D database, the method correctly registers 358 images thus giving a
performance rate of 75.84%.


title: Confinement-induced shape transitions in multilamellar vesicles

abstract:
  Morphologies of a vesicle confined in a spherical vesicle were explored
experimentally by fast confocal laser microscopy and numerically by a
dynamically-triangulated membrane model with area-difference elasticity. The
confinement was found to induce several novel shapes of the inner vesicles,
that had been never observed in unilamellar vesicles: double and quadruple
stomatocytes, slit vesicle, and vesicles of two or three compartments with
various shapes. The simulations reproduced the experimental results very well
and some of the shape transitions can be understood by a simple theoretical
model for axisymmetric shapes.


title:
Drift, diffusion, and third order derivatives in Fokker-Planck
  equations: one specific case

abstract:
  I present a case where there is an exact re-interpretation for the third
order derivative term in a Fokker-Planck equation, purely in terms of ordinary
drift and diffusion.


title: Dark matter vs. Pulsars: Catching the impostor

abstract:
  Evidence of excess GeV emission nearly coinciding with the Galactic Centre
has been interpreted as a possible signature of annihilating dark matter. In
this paper, we argue that it seems too early to discard pulsars as a viable
explanation for the observed excess. On the heels of the recently released
Second Fermi LAT Pulsar Catalogue (2FPC), it is still possible that a
population of hard (Gamma < 1) millisecond pulsars (MSPs) either endemic to the
innermost region or part of a larger nascent collection of hard MSPs that
appears to be emerging in the 2FPC could explain the GeV excess near the
Galactic Centre.


title: Linear maps preserving the dimension of fixed points of operators

abstract:
  Let B(X) be the algebra of all bounded linear operators on a complex Banach
space X with dim X greater than 3. In this paper, we characterize the forms of
surjective linear maps on B(X) which preserve the dimension of the vector space
containing of all fixed points of operators, whenever X is a fifinite
dimensional Banach space. Moreover, we characterize the forms of linear maps on
B(X) which preserve the vector space containing of all fixed points of
operators.


title:
The Stellar Abundances for Galactic Archaeology (SAGA) Database III -
  Analysis of Enrichment Histories for Elements and Two Modes of Star Formation
  during the Early Evolution of Milky Way

abstract:
  We study the enrichment histories for nine elements, C, four alpha-elements
of Mg, Si, Ca, and Ti, Sc, and three iron-peak elements of Co, Ni, and Zn, by
using a large number of stellar data, collected by the Stellar Abundances for
Galactic Archaeology (SAGA) database. We find statistically significant
changes, or breaks, of the mean abundance ratios to iron at three metallicities
of [Fe/H]-1.8, -2.2, and -3.3. Across the first one, the mean abundance ratios
decrease with the metallicity by similar extents for all the elements with the
sufficient data. Across the latter two, downward trends with the metallicity
are also detected but for limited elements, C, Co, Zn, and possibly Sc, and for
two of Co and Zn, respectively. The breaks define four stellar populations with
the different abundance patters which are dominant in each metallicity range
divided by the breaks, Pop IIa, IIb, IIc, and IId in order of increasing
metallicity. We also explore their spatial distributions with the spectroscopic
distances to demonstrate that Pops IIa and IIb spread over the Galactic halo
while Pops IIc and IId are observed near the Galactic plane. In particular, Pop
IIc stars emerge around [Fe/H] -2.6 and coexist with Pop IIb stars, segregated
by the spatial distributions. Our results reveal two distinct modes of star
formation during the early stages of Galaxy formation, which are associated
with the variations of IMF and the spatial distribution of remnant low-mass
stars. For the two lower-metallicity populations, the enhancements of Zn and Co
indicate a high-mass and top-heavy IMF together with the statistics on the
carbon-enhanced stars. We discuss the relevance to the kinematically resolved
structures of the Galactic halo and the possible sites of these populations
within the framework of hierarchical structure formation scenario.


title: Concentration analysis and cocompactness

abstract:
  Loss of compactness that occurs in may significant PDE settings can be
expressed in a well-structured form of profile decomposition for sequences.
Profile decompositions are formulated in relation to a triplet $(X,Y,D)$, where
$X$ and $Y$ are Banach spaces, $X\hookrightarrow Y$, and $D$ is, typically, a
set of surjective isometries on both $X$ and $Y$. A profile decomposition is a
representation of a bounded sequence in $X$ as a sum of elementary
concentrations of the form $g_kw$, $g_k\in D$, $w\in X$, and a remainder that
vanishes in $Y$. A necessary requirement for $Y$ is, therefore, that any
sequence in $X$ that develops no $D$-concentrations has a subsequence
convergent in the norm of $Y$. An imbedding $X\hookrightarrow Y$ with this
property is called $D$-cocompact, a property weaker than, but related to,
compactness. We survey known cocompact imbeddings and their role in profile
decompositions.


title: Multivariate Anisotropic Interpolation on the Torus

abstract:
  We investigate the error of periodic interpolation, when sampling a function
on an arbitrary pattern on the torus. We generalize the periodic Strang-Fix
conditions to an anisotropic setting and provide an upper bound for the error
of interpolation. These conditions and the investigation of the error
especially take different levels of smoothness along certain directions into
account.


title: Uniform openness of multiplication in Banach spaces $L_p$

abstract:
  We show that multiplication from $L_p\times L_q$ to $L_1$ (for $p,q\in
[1,\infty]$, $1/p+1/q=1$) is a uniformly open mapping. We also prove the
uniform openness of the multiplication from $\ell_1\times c_0$ to $\ell_1$.
This strengthens the former results obtained by M. Balcerzak, A. Majchrzycki
and A. Wachowicz.