title:
Correlation of $h\rightarrow\gamma\gamma$ and $Z\gamma$ in Type-II
  seesaw neutrino model

abstract:
  We study the charged scalar contributions to the Higgs decay channels of
$h\rightarrow \gamma\gamma$ and $h\rightarrow Z\gamma$ in the Type-II seesaw
neutrino model. In most of the allowed parameter space in the model, the new
contribution to $h\rightarrow Z\gamma$ is positively correlated with that to
$h\rightarrow\gamma\gamma$. If the current excess of the $h\rightarrow
\gamma\gamma$ rate measured by the ATLAS Collaboration persists, the
$h\rightarrow Z\gamma$ rate should be also larger than the corresponding
standard model prediction. We demonstrate that the anti-correlation between
$h\rightarrow\gamma\gamma$ and $h\rightarrow Z\gamma$ only exists in some
special region.


title: Could ART increase the population level incidence of TB?

abstract:
  HIV increases the likelihood that a person will develop TB. Starting them on
anti-retroviral therapy (ART) reduces their risk of TB but not to the level in
HIV negative people. Since HIV-positive people who are on ART can expect to
live a normal life for several decades this raises the possibility that their
elevated risk of infection, lasting for a long time, could lead to an increase
in the population level incidence of TB. Here we investigate the conditions
under which this could happen and show that provided HIV-positive people start
ART when their CD4+ cell count is greater than 350/microL and that there is
high coverage, ART will not lead to a long-term increase in HIV. Only if people
start ART very late and there is low coverage of ART might starting people on
ART increase the population level incidence of TB.


title:
Tilting objects in the stable category of vector bundles on the weighted
  projective line of type (2,2,2,2;\lambda)

abstract:
  We construct a tilting object for the stable category of vector bundles on a
weighted projective line X of type (2,2,2,2;\lambda), consisting of five rank
two bundles and one rank three bundle, whose endomorphism algebra is a
canonical algebra associated with X of type (2,2,2,2).


title: General formula for stability testing of fractional-delay systems

abstract:
  An easy-to-use and effective formula for stability testing of a system with
fractional-delay characteristic equation in the general form of
$\Delta(s)=P_0(s)+\sum_{i=1}^N P_i(s)\exp(-\zeta_i s^{\beta_i}) =0$, where
$P_i(s)$ ($i=0,..., N$) are the so-called fractional-order polynomials and
$\zeta_i$ and $\beta_i$ are positive real constants, is proposed in this paper.
The proposed formula determines the number of unstable roots of the
characteristic equation (i.e., those located in the right half-plane of the
first Riemann sheet) by applying Rouche's theorem. Numerical simulations are
also presented to confirm the efficiency of the proposed formula.


title:
Comparison between hybrid and fully kinetic models of asymmetric
  magnetic reconnection: coplanar and guide field configurations

abstract:
  Magnetic reconnection occurring in collisionless environments is a
multi-scale process involving both ion and electron kinetic processes. Because
of their small mass, the electron scales are difficult to resolve in numerical
and satellite data, it is therefore critical to know whether the overall
evolution of the reconnection process is influenced by the kinetic nature of
the electrons, or is unchanged when assuming a simpler, fluid, electron model.
This paper investigate this issue in the general context of an asymmetric
current sheet, where both the magnetic field amplitude and the density vary
through the discontinuity. A comparison is made between fully kinetic and
hybrid kinetic simulations of magnetic reconnection in coplanar and guide field
systems. The models share the initial condition but differ in their electron
modeling. It is found that the overall evolution of the system, including the
reconnection rate, is very similar between both models. The best agreement is
found in the guide field system, which confines particle better than the
coplanar one, where the locality of the moments is violated by the electron
bounce motion. It is also shown that, contrary to the common understanding,
reconnection is much faster in the guide field system than in the coplanar one.
Both models show this tendency, indicating that the phenomenon is driven by ion
kinetic effects and not electron ones.


title: Group actions on spheres with rank one isotropy

abstract:
  Let G be a rank two finite group, and let $\cH$ denote the family of rank one
p-subgroups of G, at all primes where G has p-rank two. We show that a rank two
finite group G which satisfies certain group-theoretic conditions admits a
finite G-CW-complex X with isotropy in $\cH$, whose fixed sets are homotopy
spheres. Our construction provides an infinite family of new non-linear
G-CW-complex examples.


title:
Measurement of the t t-bar production cross section in the all-jet final
  state in pp collisions at sqrt(s) = 7 TeV

abstract:
  A measurement is presented of the t t-bar cross section (sigma[ttbar]) in
proton-proton collisions at a centre-of-mass energy of 7 TeV, in the all-jet
final state that contains at least six jets, two of which are tagged as
originating from b quarks. The data correspond to an integrated luminosity of
3.54 inverse femtobarns, collected with the CMS detector at the LHC. The cross
section is determined through an unbinned maximum likelihood fit of background
and t t-bar signal to the reconstructed mass spectrum of t t-bar candidates in
the data, in which events are subjected to a kinematic fit assuming a t t-bar
to W+ b W- b-bar to 6 jets hypothesis. The measurement yields sigma[ttbar] =
139 +/- 10 (stat.) +/- 26 (syst.) +/- 3 (lum.) pb, a result consistent with
those obtained in other t t-bar decay channels, as well as with predictions of
the standard model.


title:
Banks of templates for all-sky narrow-band searches of gravitational
  waves from spinning neutron stars

abstract:
  We construct efficient banks of templates suitable for all-sky narrow-band
searches of almost monochromatic gravitational waves originating from spinning
neutron stars in our Galaxy in data collected by interferometric detectors. We
consider waves with one spindown parameter included and we assume that both the
position of the gravitational-wave source in the sky and the wave's frequency
together with spindown parameter are unknown. In the construction we employ
simplified model of the signal with constant amplitude and phase which is a
linear function of unknown parameters. Our template banks enable usage of the
fast Fourier transform algorithm in the computation of the maximum-likelihood
$\mathcal{F}$-statistic for nodes of the grids defining the bank and fulfill an
additional constraint needed to resample the data to barycentric time
efficiently. All these template bank features were employed in the recent
all-sky $\mathcal{F}$-statistic-based search for continuous gravitational waves
in Virgo VSR1 data [J.Aasi et al., Classical Quantum Gravity 31, 165014
(2014)]. Here we improve that template bank by constructing templates suitable
for larger range of search parameters and of smaller thicknesses for certain
values of search parameters. One of our template banks has thickness 12%
smaller than the thickness of the template bank used in the all-sky search of
Virgo VSR1 data and only 4% larger than the thickness of 4-dimensional optimal
lattice covering $A_4^\star$.


title:
Unification scheme of radio galaxies and quasars falsified by their
  observed size distributions

abstract:
  In the currently popular orientation-based unified scheme, a radio galaxy
appears as a quasar when its principal radio-axis happens to be oriented within
a certain cone opening angle around the observer's line of sight. Due to
geometrical projection, the observed sizes of quasars should therefore appear
smaller than those of radio galaxies. We show that this simple, unambiguous
prediction of the unified scheme is not borne out by the actually observed
angular sizes of radio galaxies and quasars. Except in the original 3CR sample,
based on which the unified scheme was proposed, in other much larger samples no
statistically significant difference is apparent in the size distributions of
radio galaxies and quasars. The population of low-excitation radio galaxies
with apparently no hidden quasars inside, which might explain the observed
excess number of radio galaxies at low redshifts, cannot still account for the
absence of any foreshortening of the sizes of quasars at large redshifts. On
the other hand from infrared and X-ray studies there is evidence of hidden
quasar within a dusty torus in many RGs, at $z>0.5$. It seems difficult how to
reconcile this with the absence of foreshortening of quasar sizes at even these
redshifts, and perhaps one has to allow that the major radio axis may not have
anything to do with the optical axis of the torus. Otherwise to resolve the
dichotomy of radio galaxies and quasars, a scheme quite different from the
present might be required.


title:
A CMOS Tailed Tent Map for the Generation of Uniformly Distributed
  Chaotic Sequences

abstract:
  This paper describes the design of a modified tent map characterized by a
uniform probability density function. The use of this map is proposed as an
alternative to the tent map and the Bernoulli shift. It is shown that practical
circuits implementing the latter two maps may possess parasitic stable
equilibria, fact which would prevent the desired chaotic behavior of the
system. On the other hand, commonly used strategies to avoid the parasitic
equilibria onset also affect the uniformity of the probability density
function. Conversely, the use of the proposed tailed tent map allows to assure
a certain degree of parameter deviation robustness, without compromising on the
statistical properties of the system.


title: A Renormalisable Cosmodynamic Model

abstract:
  The fermionic gyromagnetic ratio g= 2 of the Kerr-Newman spacetime cannot be
a computational "coincidence". This naturally immerges in a four dimensional
generally covariant modified Yang-Mills action, which depends on the lorentzian
complex structure of spacetime and not its metric. This metric independence
makes the model renormalizable. It is a counter example to the general belief
that "string theory is the only selfconsistent quantum model which includes
gravity". The other properties of the model are phenomenologically very
interesting too. The modified Yang-Mills action generates a linear potential,
instead of the Coulomb-like (1/r) potential of the ordinary action. Therefore
the Yang-Mills excitations must be perturbatively confined. This separates the
solutions of the model into the vacuum bosonic sector of the periodic
configurations, the "leptonic" sector with fermionic solitons and their gauge
field excitations, the "hadronic" sector. Simple integrability conditions of
the pure geometric equations imply a limited number of "leptonic" and
"hadronic" families. The geometric surfaces are generally inside the SU(2,2)
classical domain. Soliton spin and gravity measure how much the surface
penetrates inside the classical domain. The i0 point of infinity breaks the
SU(2,2) symmetry down to the Poincare and dilation groups. A scaling breaking
mechanism is presented. Hence the pure geometric modes and asymptotically flat
solitons of the model must belong to representations of the Poincare group. The
metrics compatible to the lorentzian complex structure are induced by a Kaehler
metric and the spacetime is a totally real lagrangian submanifold of a Kaehler
manifold. This opens up the possibility to use the geometric quantization
directly to the solitonic surfaces of the model, considering their
corresponding Kaehler symplectic manifold as their phase space.


title:
On the images and poles of degenerate Eisenstein series for
  $GL_n(\mathbb A_{\mathbb Q})$ and $GL_n(\mathbb R)$

abstract:
  I this paper we determine poles in the right--half plane and images of
degenerate Eisenstein series for $GL_n(\Bbb A_\mathbb Q)$ induced from a
character on a maximal parabolic subgroup. We apply those results to determine
poles of degenerate Eisenstein series for $GL_n(\Bbb R)$.


title: Model-Free Multi-Probe Lensing Reconstruction of Cluster Mass Profiles

abstract:
  Lens magnification by galaxy clusters induces characteristic spatial
variations in the number counts of background sources, amplifying their
observed fluxes and expanding the area of sky, the net effect of which, known
as magnification bias, depends on the intrinsic faint-end slope of the source
luminosity function. The bias is strongly negative for red galaxies, dominated
by the geometric area distortion, whereas it is mildly positive for blue
galaxies, enhancing the blue counts toward the cluster center. We generalize
the Bayesian approach of Umetsu et al. for reconstructing projected cluster
mass profiles, by incorporating multiple populations of background sources for
magnification bias measurements and combining them with complementary lens
distortion measurements, effectively breaking the mass-sheet degeneracy and
improving the statistical precision of cluster mass measurements. The approach
can be further extended to include strong-lensing projected mass estimates,
thus allowing for non-parametric absolute mass determinations in both the weak
and strong regimes. We apply this method to our recent CLASH lensing
measurements of MACS J1206.2-0847, and demonstrate how combining multi-probe
lensing constraints can improve the reconstruction of cluster mass profiles.
This method will also be useful for a stacked lensing analysis, combining all
lensing-related effects in the cluster regime, for a definitive determination
of the averaged mass profile.


title:
Anomalous roughening in competitive growth models with time-decreasing
  rates of correlated dynamics

abstract:
  Lattice growth models where uncorrelated random deposition competes with some
aggregation dynamics that generates correlations are studied with rates of the
correlated component decreasing as a power law. These models have anomalous
roughening, with anomalous exponents related to the normal exponents of the
correlated dynamics, to an exponent characterizing the aggregation mechanism
and to that power law exponent. This is shown by a scaling approach extending
the Family-Vicsek relation previously derived for the models with
time-independent rates, thus providing a connection of normal and anomalous
growth models. Simulation results for several models support those conclusions.
Remarkable anomalous effects are observed even for slowly decreasing rates of
the correlated component, which may correspond to feasible temperature changes
in systems with activated dynamics. The scaling exponents of the correlated
component can be obtained only from the estimates of three anomalous exponents,
without knowledge of the aggregation mechanism, and a possible application is
discussed. For some models, the corresponding Edwards-Wilkinson and
Kardar-Parisi-Zhang equations are also discussed.


title: More on the nonuniform Berry--Esseen bound

abstract:
  Certain smoothing inequalities were proposed in the recent paper posted on
arXiv at arxiv:1301.2828 in order to lessen the very large gap between the best
correctly established upper and lower bounds on the constant factor in the
nonuniform Berry-Esseen bound. As an illustration of the possible uses of those
inequalities, a quick proof of Nagaev's classical nonuniform bound was given
there. Here we describe another, apparently more effective class of smoothing
inequalities, and give a yet quicker and simpler proof of Nagaev's result.


title: On the optimal multilinear Bohnenblust--Hille constants

abstract:
  The upper estimates for the optimal constants of the multilinear
Bohnenblust--Hille inequality obtained in [J. Funct. Anal. 264 (2013),
429--463] are here improved to: {0.1cm}
  {enumerate} For real scalars: $K_{n}\leq\sqrt{2}(n-1)^{0.526322}$. For
complex scalars: $K_{n}\leq\frac{2}{\sqrt{\pi}}(n-1)^{0.304975}$.{enumerate}
{0.1cm} \noindent We also obtain sharper estimates for higher values of $n$.
For instance, \[ K_{n}<1.30379(n-1) ^{0.526322}\] for real scalars and
$n>2^{8}$ and \[ K_{n}<0.99137(n-1) ^{0.304975}\] for complex scalars and $n >
2^{15}.$


title: Inclusive tau lepton decay: the effects due to hadronization

abstract:
  The inclusive tau lepton hadronic decay and its description within Dispersive
approach to Quantum Chromodynamics are briefly discussed.


title: Langevin equations for competitive growth models

abstract:
  Langevin equations for several competitive growth models in one dimension are
derived. For models with crossover from random deposition (RD) to some
correlated deposition (CD) dynamics, with small probability p of CD, the
surface tension \nu and the nonlinear coefficient \lambda of the associated
equations have linear dependence on p due solely to this random choice.
However, they also depend on the regularized step functions present in the
analytical representations of the CD, whose expansion coefficients scale with p
according to the divergence of local height differences when p->0. The
superposition of those scaling factors gives \nu ~ p^2 for random deposition
with surface relaxation (RDSR) as the CD, and \nu ~ p, \lambda ~ p^{3/2} for
ballistic deposition (BD) as the CD, in agreement with simulation and other
scaling approaches. For bidisperse ballistic deposition (BBD), the same scaling
of RD-BD model is found. The Langevin equation for the model with competing
RDSR and BD, with probability p for the latter, is also constructed. It shows
linear p-dependence of \lambda, while the quadratic dependence observed in
previous simulations is explained by an additional crossover before the
asymptotic regime. The results highlight the relevance of scaling of the
coefficients of step function expansions in systems with steep surfaces, which
is responsible for noninteger exponents in some p-dependent stochastic
equations, and the importance of the physical correspondence of aggregation
rules and equation coefficients.


title: A new notion of angle between three points in a metric space

abstract:
  We give a new notion of angle in general metric spaces; more precisely, given
a triple a points $p,x,q$ in a metric space $(X,d)$, we introduce the notion of
angle cone ${\angle_{pxq}}$ as being an interval
${\angle_{pxq}}:=[\angle^-_{pxq},\angle^+_{pxq}]$, where the quantities
$\angle^\pm_{pxq}$ are defined in terms of the distance functions from $p$ and
$q$ via a duality construction of differentials and gradients holding for
locally Lipschitz functions on a general metric space. Our definition in the
Euclidean plane gives the standard angle between three points and in a
Riemannian manifold coincides with the usual angle between the geodesics, if
$x$ is not in the cut locus of $p$ or $q$. We show that in general the angle
cone is not single valued (even in case the metric space is a smooth Riemannian
manifold, if $x$ is in the cut locus of $p$ or $q$), but if we endow the metric
space with a positive Borel measure $m$ obtaining the metric measure space
$(X,d,m)$ then under quite general assumptions (which include many fundamental
examples as Riemannian manifolds, finite dimensional Alexandrov spaces with
curvature bounded from below, Gromov-Hausdorff limits of Riemannian manifolds
with Ricci curvature bounded from below, and normed spaces with strictly convex
norm), fixed $p,q \in X$, the angle cone at $x$ is single valued for $m$-a.e.
$x \in X$. We prove some basic properties of the angle cone (such as the
invariance under homotheties of the space) and we analyze in detail the case
$(X,d,m)$ is a measured-Gromov-Hausdorff limit of a sequence of Riemannian
manifolds with Ricci curvature bounded from below, showing the consistency of
our definition with a recent construction of Honda.


title: Continued Fractions of Quadratic Numbers

abstract:
  In this paper, we will first summarize known results concerning continued
fractions. Then we will limit our consideration to continued fractions of
quadratic numbers. The second author described periods and sometimes precise
form of continued fractions of $\sqrt{N}$, where $N$ is a natural number. In
cases where we were able to find such results in literature, we recall the
original authors, however many results seem to be new.


title:
Minimum Distance Distribution of Irregular Generalized LDPC Code
  Ensembles

abstract:
  In this paper, the minimum distance distribution of irregular generalized
LDPC (GLDPC) code ensembles is investigated. Two classes of GLDPC code
ensembles are analyzed; in one case, the Tanner graph is regular from the
variable node perspective, and in the other case the Tanner graph is completely
unstructured and irregular. In particular, for the former ensemble class we
determine exactly which ensembles have minimum distance growing linearly with
the block length with probability approaching unity with increasing block
length. This work extends previous results concerning LDPC and regular GLDPC
codes to the case where a hybrid mixture of check node types is used.


title:
Biquaternions algebra and its applications by solving of some
  theoretical physics equations

abstract:
  The functional space of biquaternions is considered on Minkovskiy space. The
scalar-vector biquaternions representation is used which was offered by W.
Hamilton for quaternions. With introduction of differential operator - a mutual
complex gradient (bigradients), which generalize the notion of a gradient on
biquaternions space, biquaternionic wave (biwave) equations are considered,
their invariance for group of the Lorentz-Puancare transformations is shown and
their generalized solutions are obtained.
  Biquaternionic form of generalized Maxwell-Dirac equation is constructed and
its solutions are researched on base of the differential biquaternions algebra.
Its generalized decisions are built with use of scalar potential. The new
equation for these potential are constructed which unites known equations of
quantum mechanics (Klein-Gordon and Schrodinger Eq.). The nonstationary,
steady-state and harmonic on time scalar fields and generated by them the
spinors and spinors fields in biquaternionic form are constructed.


title: Cohomological aspects of non-K\"ahler manifolds

abstract:
  In this thesis, we study cohomological properties of non-K\"ahler manifolds.
In particular, we are concerned in investigating the cohomology of compact
(almost-)complex manifolds, and of manifolds endowed with special structures,
e.g., symplectic structures, D-complex structures in the sense of F. R. Harvey
and H. B. Lawson, exhaustion functions satisfying positivity conditions.


title: Multicomponent fluid of nonadditive hard spheres near a wall

abstract:
  A recently proposed rational-function approximation [Phys. Rev. E
\textbf{84}, 041201 (2011)] for the structural properties of nonadditive hard
spheres is applied to evaluate analytically (in Laplace space) the local
density profiles of multicomponent nonadditive hard-sphere mixtures near a
planar nonadditive hard wall. The theory is assessed by comparison with $NVT$
Monte Carlo simulations of binary mixtures with a size ratio 1:3 in three
possible scenarios: a mixture with either positive or negative nonadditivity
near an additive wall, an additive mixture with a nonadditive wall, and a
nonadditive mixture with a nonadditive wall. It is observed that, while the
theory tends to underestimate the local densities at contact (especially in the
case of the big spheres) it captures very well the initial decay of the
densities with increasing separation from the wall and the subsequent
oscillations.


title: Invertible coupled KdV and coupled Harry Dym hierarchies

abstract:
  In this paper we discuss the conditions under which the coupled KdV and
coupled Harry Dym hierarchies possess inverse (negative) parts. We further
investigate the structure of nonlocal parts of tensor invariants of these
hierarchies, in particular, the nonlocal terms of vector fields, conserved
one-forms, recursion operators, Poisson and symplectic operators. We show that
the invertible cKdV hierarchies possess Poisson structures that are at most
weakly nonlocal while coupled Harry Dym hierarchies have Poisson structures
with nonlocalities of the third order.


title:
Moments of the boundary hitting function for the geodesic flow on a
  hyperbolic manifold

abstract:
  In this paper we consider finite volume hyperbolic manifolds X with non-empty
totally geodesic boundary. We consider the distribution of the times for the
geodesic flow to hit the boundary and derive a formula for the moments of the
associated random variable in terms of the orthospectrum. We show that the the
first two moments correspond to two cases of known identities for the
orthospectrum. We further obtain an explicit formula in terms of the
trilogarithm functions for the average time for the geodesic flow to hit the
boundary in the surface case, using the third moment.


title:
Bosonization and entanglement spectrum for one-dimensional polar bosons
  on disordered lattices

abstract:
  The extended Bose-Hubbard model subjected to a disordered potential is
predicted to display a rich phase diagram. In the case of uniform random
disorder one finds two insulating quantum phases -- the Mott-insulator and the
Haldane insulator -- in addition to a superfluid and a Bose glass phase. In the
case of a quasiperiodic potential further phases are found, eg the
incommensurate density wave, adiabatically connected to the Haldane insulator.
For the case of weak random disorder we determine the phase boundaries using a
perturbative bosonization approach. We then calculate the entanglement spectrum
for both types of disorder, showing that it provides a good indication of the
various phases.


title: Slow-Roll Inflation in Non-geometric Flux Compactification

abstract:
  By implementing a genetic algorithm we search for stable vacua in Type IIB
non-geometric flux compactification on an isotropic torus with orientifold
3-planes. We find that the number of stable dS and AdS vacua are of the same
order. Moreover we find that in all dS vacua the multi-field slow-roll
inflationary conditions are fulfilled. Specifically we observe that inflation
is driven by the axio-dilaton and the K\"ahler moduli. We also comment on the
existence of one stable dS vacuum in the presence of exotic orientifolds.


title:
Real solutions to the nonlinear Helmholtz equation with local
  nonlinearity

abstract:
  In this paper, we study real solutions of the nonlinear Helmholtz equation $$
- \Delta u - k^2 u = f(x,u),\qquad x\in \R^N $$ satisfying the asymptotic
conditions $$ u(x)=O(|x|^{\frac{1-N}{2}}) \quad \text{and} \quad
\frac{\partial^2 u}{\partial r^2}(x)+k^2 u(x)) =o(|x|^{\frac{1-N}{2}}) \qquad
\text{as $r=|x| \to \infty$.} $$ We develop the variational framework to prove
the existence of nontrivial solutions for compactly supported nonlinearities
without any symmetry assumptions. In addition, we consider the radial case in
which, for a larger class of nonlinearities, infinitely many solutions are
shown to exist. Our results give rise to the existence of standing wave
solutions of corresponding nonlinear Klein-Gordon equations with arbitrarily
large frequency.


title:
Search for pair-produced dijet resonances in four-jet final states in pp
  collisions at sqrt(s) = 7 TeV

abstract:
  A search for the pair production of a heavy, narrow resonance decaying into
two jets has been performed using events collected in sqrt(s) = 7 TeV pp
collisions with the CMS detector at the LHC. The data sample corresponds to an
integrated luminosity of 5.0 inverse femtobarns. Events are selected with at
least four jets and two dijet combinations with similar dijet mass. No
resonances are found in the dijet mass spectrum. The upper limit at 95%
confidence level on the product of the resonance pair production cross section,
the branching fractions into dijets, and the acceptance varies from 0.22 to
0.005 pb, for resonance masses between 250 and 1200 GeV. Pair-produced colorons
decaying into q q' are excluded for coloron masses between 250 and 740 GeV.


title: Nonlocal theories of gravity: the flat space propagator

abstract:
  It was recently found that there are classes of nonlocal gravity theories
that are free of ghosts and singularities in their Newtonian limit [PRL, 108
(2012), 031101]. In these proceedings, a detailed and pedagogical derivation of
a main result, the flat space propagator for an arbitrary covariant metric
theory of gravitation, is presented. The result is applied to analyse f(R)
models, Gauss-Bonnet theory, Weyl-squared gravity and the potentially
asymptotically free nonlocal theories.


title: Low-Complexity Reduced-Rank Beamforming Algorithms

abstract:
  A reduced-rank framework with set-membership filtering (SMF) techniques is
presented for adaptive beamforming problems encountered in radar systems. We
develop and analyze stochastic gradient (SG) and recursive least squares
(RLS)-type adaptive algorithms, which achieve an enhanced convergence and
tracking performance with low computational cost as compared to existing
techniques. Simulations show that the proposed algorithms have a superior
performance to prior methods, while the complexity is lower.


title: A Concept for A Dark Matter Detector Using Liquid Helium-4

abstract:
  Direct searches for light dark matter particles (mass $<10$ GeV) are
especially challenging because of the low energies transferred in elastic
scattering to typical heavy nuclear targets. We investigate the possibility of
using liquid Helium-4 as a target material, taking advantage of the favorable
kinematic matching of the Helium nucleus to light dark matter particles. Monte
Carlo simulations are performed to calculate the charge, scintillation, and
triplet helium molecule signals produced by recoil He ions, for a variety of
energies and electric fields. We show that excellent background rejection can
be achieved based on the ratios between different signal channels. We also
present some concepts for a liquid-helium-based dark matter detector. Key to
the proposed approach is the use of a large electric field to extract electrons
from the event site, and the amplification of this charge signal, through
proportional scintillation, liquid electroluminescence, or roton emission. The
sensitivity of the proposed detector to light dark matter particles is
estimated for various electric fields and light collection efficiencies.

categories: astro-ph.IM astro-ph.CO hep-ex physics.ins-det


title: Topological charge membranes and Goldstone boson propagation in QCD

abstract:
  Both theoretical arguments and Monte Carlo observations indicate that the
topological structure of the QCD vacuum consists of a laminated array of
extended, coherent codimension-one membranes of alternating sign. Large-$N_c$
arguments, supported by gauge/string holography, indicate that these membranes
are domain walls which separate discrete "flux vacua" with values of the
topological $\theta$ parameter which differ by $\pm 2\pi$. This exposes a close
analogy with 2D U(1) gauge theory, where $\theta$ can be interpreted as
electric polarization, and the domain walls are pointlike charged particles. In
4D QCD, the $\theta$ parameter represents background Ramond-Ramond flux, which
can be interpreted as a polarization of the charged membranes in the vacuum. In
this framework, the chiral condensate is formed from the quark surface modes on
the membranes. Massless Goldstone boson propagation takes place due to a
coordination between bulk oscillations of the polarization field $\theta$ and
the surface currents represented by the Chern-Simons 3-form on the brane
surface. This coordination is enforced by overall gauge invariance which
imposes an anomaly inflow constraint between bulk and surface currents.


title:
Electromagnetic quasinormal modes of rotating black strings and the
  AdS/CFT correspondence

abstract:
  We investigate the quasinormal spectrum of electromagnetic perturbations of
rotating black strings. Among the solutions of Einstein equations in the
presence of a negative cosmological constant there are asymptotically anti-de
Sitter (AdS) black holes whose horizons have the topology of a cylinder. The
stationary version of these AdS black holes represents rotating black strings.
The conformal field theory (CFT) dual of a black string lives in a Minkowski
space with a compact dimension. On the basis of the AdS/CFT duality, we
interpret a CFT plasma moving with respect to the preferred rest frame
introduced by the topology as the holographic dual to a rotating black string.
We explore the consequences of this correspondence by investigating the
electromagnetic perturbations of a black string for different rotation
parameter values. As usual the electromagnetic quasinormal modes (QNM)
correspond to the poles of retarded Green's functions of $R$-symmetry currents
in the boundary field theory. The hydrodynamic regime of the QNM dispersion
relations are analytically studied. Finally, we investigate numerically the
effect of rotation on all the family of black-string electromagnetic
quasinormal modes. We interpret these results from the CFT perspective and
notice the emergence of effects like Doppler shift of the frequencies and
dilation of the thermalization times.


title: Basis of financial arithmetic from the viewpoint of the utility theory

abstract:
  The main goal of this paper is presentation a modern axiomatic approach to
financial arithmetic. At the first, the axiomatic financial arithmetic theory
was proposed by Peccati who has introduced the axiomatic definition of the
future value. This theory has been extensively developed in past years.
Proposed approach to financial arithmetic is based on the financial flow
utility concept. This utility function is defined as linear extension of
multicriteria comparison determined by the time preference and the capital
preference. Then the present value is equal to financial flow utility.
Therefore, the law of diminishing marginal wealth utility has been considered
as additional feature of the present value. The future value is defined as the
inverse of utility function. This definition is a generalization of the Peccati
one. The net present value is given as the unique additive extension of
financial flow utility. Moreover, the synergy effect and the diversification
effect will be discussed. At the end, the axiomatic present value definition
will be specified in three ways.


title: On return rate implied by behavioural present value

abstract:
  The future value of a security is described as a random variable.
Distribution of this random variable is the formal image of risk uncertainty.
On the other side, any present value is defined as a value equivalent to the
given future value. This equivalence relationship is a subjective. Thus
follows, that present value is described as a fuzzy number, which is depend on
the investor's susceptibility to behavioural factors. All above reasons imply,
that return rate is given as a fuzzy probabilistic set. The basic properties of
such image of return rate are studied. At the last the set of effective
securities is distinguished as a fuzzy set.


title: Behavioural present value

abstract:
  Impact of chosen behavioural factors on imprecision of present value is
discussed here. The formal model of behavioural present value is offered as a
result of this discussion. Behavioural present value is described here by fuzzy
set. These considerations were illustrated by means of extensive numerical case
study. Finally there are shown that in proposed model the return rate is given,
as a fuzzy probabilistic set.


title:
A game-theoretic framework for classifier ensembles using weighted
  majority voting with local accuracy estimates

abstract:
  In this paper, a novel approach for the optimal combination of binary
classifiers is proposed. The classifier combination problem is approached from
a Game Theory perspective. The proposed framework of adapted weighted majority
rules (WMR) is tested against common rank-based, Bayesian and simple majority
models, as well as two soft-output averaging rules. Experiments with ensembles
of Support Vector Machines (SVM), Ordinary Binary Tree Classifiers (OBTC) and
weighted k-nearest-neighbor (w/k-NN) models on benchmark datasets indicate that
this new adaptive WMR model, employing local accuracy estimators and the
analytically computed optimal weights outperform all the other simple
combination rules.


title: Evolution of starshaped hypersurfaces by general curvature functions

abstract:
  We consider the evolution of starshaped hypersurfaces in the Euclidean space
by general curvature functions. Under appropriate conditions on the curvature
function, we prove the global existence and convergence of the flow to a
hypersurface of prescribed curvature.


title:
On Inviscid Limits for the Stochastic Navier-Stokes Equations and
  Related Models

abstract:
  We study inviscid limits of invariant measures for the 2D Stochastic
Navier-Stokes equations. As shown in \cite{Kuksin2004} the noise scaling
$\sqrt{{\nu}}$ is the only one which leads to non-trivial limiting measures,
which are invariant for the 2D Euler equations. We show that any limiting
measure $\mu_{0}$ is in fact supported on bounded vorticities. Relationships of
$\mu_{0}$ to the long term dynamics of Euler in the $L^{\infty}$ with the
weak$^{*}$ topology are discussed. In view of the Batchelor-Krainchnan 2D
turbulence theory, we also consider inviscid limits for the weakly damped
stochastic Navier-Stokes equation. In this setting we show that only an order
zero noise (i.e. the noise scaling $\nu^0$) leads to a nontrivial limiting
measure in the inviscid limit.


title: Pointwise partial hyperbolicity in 3-dimensional nilmanifolds

abstract:
  We show the existence of a family of manifolds on which all (pointwise or
absolutely) partially hyperbolic systems are dynamically coherent. This family
is the set of 3-manifolds with nilpotent, non-abelian fundamental group. We
further classify the partially hyperbolic systems on these manifolds up to leaf
conjugacy. We also classify those systems on the 3-torus which do not have an
attracting or repelling periodic 2-torus. These classification results allow us
to prove some dynamical consequences, including existence and uniqueness
results for measures of maximal entropy and quasi-attractors.


title:
Surface polar optical phonon interaction induced many-body effects and
  hot-electron relaxation in graphene

abstract:
  We theoretically study various aspects of the electron-surface optical phonon
interaction effects in graphene on a substrate made of polar materials. We
calculate the electron self-energy in the presence of the surface
phonon-mediated electron-electron interaction focusing on how the linear chiral
graphene dispersion is renormalized by the surface phonons. The electron
self-energy as well as the quasiparticle spectral function in graphene are
calculated, taking into account electron-polar optical phonon interaction by
using a many body perturbative formalism. The scattering rate of free electrons
due to polar interaction with surface optical phonons in a dielectric substrate
is calculated as a function of the electron energy, temperatures, and carrier
density. Effects of screening on the self-energy and scattering rate are
discussed. Our theory provides a comprehensive quantitative (and qualitative)
picture for surface phonon interaction induced many-body effects and hot
electron relaxation in Dirac materials.


title:
A Green's function formalism of energy and momentum transfer in
  fluctuational electrodynamics

abstract:
  Radiative energy and momentum transfer due to fluctuations of electromagnetic
fields arising due to temperature difference between objects is described in
terms of the cross-spectral densities of the electromagnetic fields. We derive
relations between thermal non-equilibrium contributions to energy and momentum
transfer and surface integrals of tangential components of the dyadic Green's
functions of the vector Helmholtz equation. The expressions derived here are
applicable to objects of arbitrary shapes, dielectric functions, as well as
magnetic permeabilities. For the case of radiative transfer, we derive
expressions for the generalized transmissivity and generalized conductance that
are shown to obey reciprocity and agree with theory of black body radiative
transfer in the appropriate limit.


title: Spectral Sets

abstract:
  This is a survey about spectral sets, to appear in the second edition of
Handbook of Linear Algebra (L. Hogben, ed.). Spectral sets and K-spectral sets,
introduced by John von Neumann, offer a possibility to estimate the norm of
functions of matrices in terms of the sup-norm of the function. Examples of
such spectral sets include the numerical range or the pseudospectrum of a
matrix, discussed in Chapters 16 and 18. Estimating the norm of functions of
matrices is an essential task in numerous fields of pure and applied
mathematics, such as (numerical) linear algebra, functional analysis, and
numerical analysis. More specific examples include probability, semi-groups and
existence results for operator-valued differential equations, the study of
numerical schemes for the time discretization of evolution equations, or the
convergence rate of GMRES (Section 41.7). The notion of spectral sets involves
many deep connections between linear algebra, operator theory, approximation
theory, and complex analysis.


title: Fractional Classical Mechanics

abstract:
  Fractional classical mechanics has been introduced and developed as a
classical counterpart of the fractional quantum mechanics. Lagrange, Hamilton
and Hamilton-Jacobi frameworks have been implemented for the fractional
classical mechanics. The Lagrangian of fractional classical mechanics has been
introduced, and equation of motion has been obtained. Fractional oscillator
model has been launched and solved in 1D case. A new equation for the period of
oscillations of fractional classical oscillator has been found. The interplay
between the energy dependency of the period of classical oscillations and the
non-equidistant distribution of the energy levels for fractional quantum
oscillator has been discussed. We discuss as well, the relationships between
new equations of fractional classical mechanics and the well-known fundamental
equations of classical mechanics.


title: Ramanujan-type formulae for $1/\pi$: the art of translation

abstract:
  We outline an elementary method for proving numerical hypergeometric
identities, in particular, Ramanujan-type identities for $1/\pi$. The principal
idea is using algebraic transformations of arithmetic hypergeometric series to
translate non-singular points into singular ones, where the required constants
can be computed using asymptotic analysis.


title: Restricted Galileons

abstract:
  We study Galileon theories that emerge in ghost-free massive gravity. In
particular, we focus on a sub-class of these theories where the Galileons can
be completely decoupled from the tensor Lagrangian. These Galileons differ from
generic ones -- they have interrelated coefficients of the cubic and quartic
terms, and most importantly, a non-standard coupling to external
stress-tensors, governed by the same coefficient. We show that this theory has
no static stable spherically symmetric solutions that would interpolate from
the Vainshtein region to flat space; these two regions cannot be smoothly
matched for the sign of the coefficient for which fluctuations are stable.
Instead, for this sign choice, a solution in the Vainshtein domain is matched
onto a cosmological background. Small fluctuations above this solution are
stable, and sub-luminal. We discuss observational constraints on this theory,
within the quantum effective Lagrangian approach, and argue that having a
graviton mass of the order of the present-day Hubble parameter, is consistent
with the data. Last but not least, we also present a general class of
cosmological solutions in this theory, some of which exhibit the de-mixing
phenomenon, previously found for the self-accelerated solution.


title:
Effects of Strong Interactions in a Half Metallic Magnet: a Determinant
  Quantum Monte Carlo Study

abstract:
  Understanding the effects of electron-electron interactions in half metallic
magnets (HMs), which have band structures with one gapped spin channel and one
metallic channel, poses fundamental theoretical issues as well as having
importance for their potential applications. Here we use determinant quantum
Monte Carlo to study the impacts of an on-site Hubbard interaction $U$, finite
temperature, and an external (Zeeman) magnetic field on a bilayer tight-binding
model which is a half-metal in the absence of interactions, by calculating the
spectral density, conductivity, spin polarization of carriers, and local
magnetic properties. We quantify the effect of $U$ on the degree of thermal
depolarization, and follow relative band shifts and monitor when significant
gap states appear, each of which can degrade the HM character. For this model,
Zeeman coupling induces, at fixed particle number, two successive transitions:
compensated half-metal with spin-down band gap $\rightarrow$ metallic
ferromagnet $\rightarrow$ saturated ferromagnetic insulator. However, over much
of the more relevant parameter regime, the half-metallic properties are rather
robust to $U$.


title: Measurement of the CP Violation Parameters in B0 -> pi+ pi- Decays

abstract:
  We present a measurement of the time-dependent charge-parity (CP) violation
parameters in B0 -> pi+ pi- decays. The results are obtained from the final
data sample containing 772 million BBbar pairs collected at the Upsilon(4S)
resonance with the Belle detector at the KEKB asymmetric-energy e+e- collider.
We obtain the CP violation parameters Acp = +0.33 +/- 0.06 (stat) +/- 0.03
(syst) and Scp = -0.64 +/- 0.08 (stat) +/- 0.03 (syst), where Acp and Scp
represent the direct and mixing-induced CP asymmetry, respectively. Using an
isospin analysis including results from other Belle measurements, we find 23.8
< phi2 < 66.8 degrees is disfavored at the 1 sigma level, where phi2 is one of
the three interior angles of the CKM unitarity triangle related to B_{u,d}
decays.


title: Adaptation in a stochastic multi-resources chemostat model

abstract:
  We are interested in modeling the Darwinian evolution resulting from the
interplay of phenotypic variation and natural selection through ecological
interactions, in the specific scales of the biological framework of adaptive
dynamics. Adaptive dynamics so far has been put on a rigorous footing only for
direct competition models (Lotka-Volterra models) involving a competition
kernel which describes the competition pressure from one individual to another
one. We extend this to a multi-resources chemostat model, where the competition
between individuals results from the sharing of several resources which have
their own dynamics. Starting from a stochastic birth and death process model,
we prove that, when advantageous mutations are rare, the population behaves on
the mutational time scale as a jump process moving between equilibrium states
(the polymorphic evolution sequence of the adaptive dynamics literature). An
essential technical ingredient is the study of the long time behavior of a
chemostat multi-resources dynamical system. In the small mutational steps limit
this process in turn gives rise to a differential equation in phenotype space
called canonical equation of adaptive dynamics. From this canonical equation
and still assuming small mutation steps, we prove a rigorous characterization
of the evolutionary branching points.


title:
Inhomogeneous Fulde-Ferrell superfluidity in spin-orbit coupled atomic
  Fermi gases

abstract:
  Inhomogeneous superfluidity lies at the heart of many intriguing phenomena in
quantum physics. It is believed to play a central role in unconventional
organic or heavy-fermion superconductors, chiral quark matter, and neutron star
glitches. However, so far even the simplest form of inhomogeneous
superfluidity, the Fulde-Ferrell (FF) pairing state with a single
centre-of-mass momentum, is not conclusively observed due to the intrinsic
complexibility of any realistic Fermi systems in nature. Here we theoretically
predict that the controlled setting of ultracold fermionic atoms with synthetic
spin-orbit coupling induced by a two-photon Raman process, demonstrated
recently in cold-atom laboratories, provides a promising route to realize the
long-sought FF superfluidity. At experimentally accessible low temperatures
(i.e., $0.05T_{F}$, where $T_{F}$ is the Fermi temperature), the FF superfluid
state dominates the phase diagram, in sharp contrast to the conventional case
without spin-orbit coupling. We show that the finite centre-of-mass momentum
carried by Cooper pairs is directly measurable via momentum-resolved
radio-frequency spectroscopy. Our work opens the way to direct observation and
characterization of inhomogeneous superfluidity.


title: A Degree Theorem for the Space of Ribbon Graphs

abstract:
  This paper extends results of Hatcher and Vogtmann's work "Cerf Theory for
Graphs" to ribbon graphs. Given an orientable, punctured and basepointed
surface Sigma, we prove that the space of ribbon graphs that can be drawn in
Sigma is filtered by simplicial complexes. The k-th simplicial complex is
(k-1)-dimensional, (k-2)-connected and invariant under the action of the
basepoint preserving mapping class group of Sigma.


title: Algebraic Curves for Factorized String Solutions

abstract:
  We show how to construct an algebraic curve for factorized string solution in
the context of the AdS/CFT correspondence. We define factorized solutions to be
solutions where the flat-connection becomes independent of one of the
worldsheet variables by a similarity transformation with a matrix $S$
satisfying $S^{-1}d S=const$. Using the factorization property we construct a
well defined Lax operator and an associated algebraic curve. The construction
procedure is local and does not require the introduction of a monodromy matrix.
The procedure can be applied for string solutions with any boundary conditions.
We study the properties of the curve and give several examples for the
application of the procedure.


title: Lower bounds on the modified K-energy and complex deformations

abstract:
  Let (X,L) be a polarized K\"ahler manifold that admits an extremal K\"ahler
metric in c1(L). We show that on a nearby polarized deformation that preserves
the symmetry induced by the extremal vector field of (X,L), the modified
K-energy is bounded from below. This generalizes a result of Chen,
Sz\'ekelyhidi and Tosatti to extremal metrics. Our proof also extends a
convexity inequality on the space of K\"ahler potentials due to X.X. Chen to
the extremal metric setup. As an application, we compute explicit polarized
4-points blow-ups of CP1\times CP1 that carry no extremal metric but with
modified K-energy bounded from below.


title: Optomechanical light storage in a silica microresonator

abstract:
  Coherent inter-conversion between an optical and a mechanical excitation in
an optomechanical resonator can be used for the storage of an optical pulse as
an excitation in a mechanical oscillator. This optomechanical light storage is
enabled by external writing and readout pulses at one mechanical frequency
below the optical resonance. In this paper, we expand an earlier experimental
study [Phys. Rev. Lett. 107, 133601 (2011)] on storing an optical pulse as a
radial breathing mode in a silica microsphere. We show that the heterodyne
beating between a readout pulse and the corresponding retrieved pulse features
a periodic oscillation with a well-defined phase and with the beating period
given by the mechanical frequency, demonstrating directly the coherent nature
of the light storage process. The coherent inter-conversion accelerates with
increasing optomechanical coupling rates, providing an effective mechanism for
tailoring the temporal profile of the retrieved pulse. Experimental studies on
both light storage and optomechanically induced transparency under nearly the
same conditions also illustrate the connections between these two
closely-related processes.


title: Evolutionary dynamics of time-resolved social interactions

abstract:
  Cooperation among unrelated individuals is frequently observed in social
groups when their members combine efforts and resources to obtain a shared
benefit that is unachievable by an individual alone. However, understanding why
cooperation arises despite the natural tendency of individuals towards selfish
behavior is still an open problem and represents one of the most fascinating
challenges in evolutionary dynamics. Recently, the structural characterization
of the networks in which social interactions take place has shed some light on
the mechanisms by which cooperative behavior emerges and eventually overcomes
the natural temptation to defect. In particular, it has been found that the
heterogeneity in the number of social ties and the presence of tightly knit
communities lead to a significant increase in cooperation as compared with the
unstructured and homogeneous connection patterns considered in classical
evolutionary dynamics. Here, we investigate the role of social-ties dynamics
for the emergence of cooperation in a family of social dilemmas. Social
interactions are in fact intrinsically dynamic, fluctuating, and intermittent
over time, and they can be represented by time-varying networks. By considering
two experimental data sets of human interactions with detailed time
information, we show that the temporal dynamics of social ties has a dramatic
impact on the evolution of cooperation: the dynamics of pairwise interactions
favors selfish behavior.


title:
Many-body \textit{T}-matrix theory of a strongly interacting spin-orbit
  coupled Fermi gas: Momentum-resolved radio-frequency spectroscopy and
  fermionic pairing

abstract:
  Interacting Fermi gases with spin-orbit coupling are responsible for many
intriguing phenomena such as topological superfluids and Majorana fermions.
Here we characterize theoretically fermionic pairing in a strongly interacting
spin-orbit coupled Fermi gas, by using momentum-resolved radio-frequency
spectroscopy. We develop a strong-coupling $T$-matrix theory and present a
phase diagram near the unitary resonance limit. A smooth transition from atomic
to molecular responses in the momentum-resolved spectroscopy is predicted, with
a clear signature of anisotropic pairing at and below resonance. Our prediction
with many-body pairing can be directly tested in a spin-orbit coupled Fermi gas
of $^{40}$K or $^{6}$Li atoms near broad Feshbach resonances.


title: X-ray behaviour of GRBs detected by INTEGRAL/JEM-X

abstract:
  INTEGRAL's JEM-X instrument offers a very rare opportunity to observe the
full prompt X-ray emission from GRBs and the transition to the afterglow phase.
A study of prompt X-ray flares in some bursts from the INTEGRAL GRB sample and
the early X-ray post-GRB emission from 3-35 keV is presented here. Significant
post-GRB emission above 10 keV is observed for GRB 041219A and GRB 081003A.


title: Breaking the coherence barrier: A new theory for compressed sensing

abstract:
  This paper provides an extension of compressed sensing which bridges a
substantial gap between existing theory and its current use in real-world
applications. It introduces a mathematical framework that generalizes the three
standard pillars of compressed sensing - namely, sparsity, incoherence and
uniform random subsampling - to three new concepts: asymptotic sparsity,
asymptotic incoherence and multilevel random sampling. The new theorems show
that compressed sensing is also possible, and reveals several advantages, under
these substantially relaxed conditions. The importance of this is threefold.
First, inverse problems to which compressed sensing is currently applied are
typically coherent. The new theory provides the first comprehensive
mathematical explanation for a range of empirical usages of compressed sensing
in real-world applications, such as medical imaging, microscopy, spectroscopy
and others. Second, in showing that compressed sensing does not require
incoherence, but instead that asymptotic incoherence is sufficient, the new
theory offers markedly greater flexibility in the design of sensing mechanisms.
Third, by using asymptotic incoherence and multi-level sampling to exploit not
just sparsity, but also structure, i.e. asymptotic sparsity, the new theory
shows that substantially improved reconstructions can be obtained from fewer
measurements.


title: Reduction of weakly nonlinear parabolic partial differential equations

abstract:
  It is known that the Swift-Hohenberg equation $\partial u/\partial t =
-(\partial_x^2 + 1)^2u + \varepsilon (u-u^3)$ can be reduced to the
Ginzburg-Landau equation (amplitude equation) $\partial A/\partial t =
4\partial_x^2 A + \varepsilon (A-3A|A|^2)$ by means of the singular
perturbation method. This means that if $\varepsilon >0$ is sufficiently small,
a solution of the latter equation provides an approximate solution of the
former one. In this paper, a reduction of a certain class of a system of
nonlinear parabolic equations $\partial u/\partial t = \mathcal{P}u +
\varepsilon f(u)$ is proposed. An amplitude equation of the system is defined
and an error estimate of solutions is given. Further, it is proved under
certain assumptions that if the amplitude equation has a stable steady state,
then a given equation has a stable periodic solution . In particular, near the
periodic solution, the error estimate of solutions holds uniformly in $t>0$.


title: Triple-Star Candidates Among the Kepler Binaries

abstract:
  We present the results of a search through the photometric database of
eclipsing Kepler binaries (Prsa et al. 2011; Slawson et al. 2011) looking for
evidence of hierarchical triple star systems. The presence of a third star
orbiting the binary can be inferred from eclipse timing variations. We apply a
simple algorithm in an automated determination of the eclipse times for all
2157 binaries. The "calculated" eclipse times, based on a constant period
model, are subtracted from those observed. The resulting O-C (observed minus
calculated times) curves are then visually inspected for periodicities in order
to find triple-star candidates. After eliminating false positives due to the
beat frequency between the ~1/2-hour Kepler cadence and the binary period, 39
candidate triple systems were identified. The periodic O-C curves for these
candidates were then fit for contributions from both the classical Roemer delay
and so-called "physical" delay, in an attempt to extract a number of the system
parameters of the triple. We discuss the limitations of the information that
can be inferred from these O-C curves without further supplemental input, e.g.,
ground-based spectroscopy. Based on the limited range of orbital periods for
the triple star systems to which this search is sensitive, we can extrapolate
to estimate that at least 20% of all close binaries have tertiary companions.


title: An antipode formula for the natural Hopf algebra of a set operad

abstract:
  A set-operad is a monoid in the category of combinatorial species with
respect to the operation of substitution. From a set-operad, we give here a
simple construction of a Hopf algebra that we call {\em the natural Hopf
algebra} of the operad. We obtain a combinatorial formula for its antipode in
terms of Shr\"oder trees, generalizing the Hayman-Schmitt formula for the Fa\'a
di Bruno Hopf algebra. From there we derive more readable formulas for specific
operads. The classical Lagrange inversion formula is obtained in this way from
the set-operad of pointed sets. We also derive antipodes formulas for the
natural Hopf algebra corresponding to the operads of connected graphs, the NAP
operad, and for its generalization, the set-operad of trees enriched with a
monoid. When the set operad is left cancellative, we can construct a family of
posets. The natural Hopf algebra is then obtained as an incidence reduced Hopf
algebra, by taking a suitable equivalence relation over the intervals of that
family of posets. We also present a simple combinatorial construction of an
epimorphism from the natural Hopf algebra corresponding to the NAP operad, to
the Connes and Kreimer Hopf algebra.


title:
Testing the existence of regions of stable orbits at small radii around
  black hole candidates

abstract:
  Black hole candidates in X-ray binary systems and at the centers of galaxies
are expected to be the Kerr black holes of General Relativity, but the actual
nature of these objects has yet to be verified. In this paper, we consider the
possibility that they are exotic compact objects and we describe their exterior
gravitational field with a subclass of the Manko-Novikov metrics, which are
exact solutions of the vacuum Einstein's equations and can describe the
spacetime geometry around bodies with arbitrary mass-multipole moments. We
point out that around a Manko-Novikov object there may exist many disconnected
non-plunging regions at small radii, with no counterpart in the Kerr
background, and that their existence may be tested. For instance, in the
presence of an accretion disk, they may be filled by the accreting gas, forming
a ring structure that might remind the rings of Saturn. We suggest that the
existence of these regions may have a clear observational signature in the
waveform of the gravitational radiation emitted by an EMRI: in the last stage
of the inspiral, the waveform would be the combination of "regular chirps",
produced when the small object orbits in one of the non-plunging regions, and
"bursts", released when the small object jumps from a non-plunging region to
another one at smaller radii. Our conclusions are supported by some numerical
calculations of trajectories in the geodesic approximation, in which a particle
plunges from the ISCO and then seems to get trapped in the potential well at
smaller radii.


title: Orbit Problem Revisited

abstract:
  In this letter, we revisit the {\em orbit problem}, which was studied in
\cite{HAR69,SHA79,KL86}. In \cite{KL86}, Kannan and Lipton proved that this
problem is decidable in polynomial time. In this paper, we study the {\em
approximate orbit problem}, and show that this problem is decidable except for
one case.


title:
Current Sheet Statistics in Three-Dimensional Simulations of Coronal
  Heating

abstract:
  In a recent numerical study [Ng et al., Astrophys. J. {\bf 747}, 109, 2012],
with a three-dimensional model of coronal heating using reduced
magnetohydrodynamics (RMHD), we have obtained scaling results of heating rate
versus Lundquist number based on a series of runs in which random photospheric
motions are imposed for hundreds to thousands of \al time in order to obtain
converged statistical values. The heating rate found in these simulations
saturate to a level that is independent of the Lundquist number. This scaling
result was also supported by an analysis with the assumption of the
Sweet-Parker scaling of the current sheets, as well as how the width, length
and number of current sheets scale with Lundquist number. In order to test
these assumptions, we have implemented an automated routine to analyze
thousands of current sheets in these simulations and return statistical
scalings for these quantities. It is found that the Sweet-Parker scaling is
justified. However, some discrepancies are also found and require further
study.

categories: physics.space-ph astro-ph.SR physics.comp-ph physics.plasm-ph


title: Inflation with negative potentials and the signature reversal symmetry

abstract:
  We discuss recent papers by Hartle, Hawking and Hertog, which proposed that
quantum cosmology could predict an inflating universe in models with negative
scalar potentials. Here we show that this is a result of an underlying symmetry
which is manifest in both classical and quantum theory. Moreover, we show that
inflating solutions in such models generally develop tachyonic and ghost
instabilities and are therefore unphysical in realistic theories.


title: A Class of Three-Weight Cyclic Codes

abstract:
  Cyclic codes are a subclass of linear codes and have applications in consumer
electronics, data storage systems, and communication systems as they have
efficient encoding and decoding algorithms. In this paper, a class of
three-weight cyclic codes over $\gf(p)$ whose duals have two zeros is
presented, where $p$ is an odd prime. The weight distribution of this class of
cyclic codes is settled. Some of the cyclic codes are optimal. The duals of a
subclass of the cyclic codes are also studied and proved to be optimal.


title: Quantum coherence-assisted propagation of surface plasmon polaritons

abstract:
  We theoretically demonstrate coherent control over propagation of surface
plasmon polaritons(SPP), at both telecommunication and visible wavelengths, on
a metallic surface adjacent to quantum coherence (phaseonium) medium composed
of three-level quantum emitters (semiconductor quantum dots, atoms, rare-earth
ions, etc.) embedded in a dielectric host. The coherent drive allows us to
provide sufficient gain for lossless SPP propagation and also lowers the
pumping requirements. In case of lossy propagation, an order of magnitude
enhancement in propagation length can be achieved. Optical control over SPP
propagation dynamics via an external coherent drive holds promise for quantum
control in the field of nanophotonics.


title: Compression of Periodic Complementary Sequences and Applications

abstract:
  A collection of complex sequences of length v is complementary if the sum of
their periodic autocorrelation function values at all non-zero shifts is
constant. For a complex sequence A=[a_0,a_1,...,a_{v-1}] of length v=dm we
define the m-compressed sequence A^{(d)} of length d whose terms are the sums
a_i + a_{i+d} + ... + a_{i+(m-1)d}. We prove that the m-compression of a
complementary collection of sequences is also complementary. The compression
procedure can be used to simplify the construction of complementary
{+1,-1}-sequences of composite length. In particular, we construct several
supplementary difference sets (v;r,s;lambda) with v even and lambda=(r+s)-v/2,
given here for the first time. There are 15 normalized parameter sets
(v;r,s;lambda) with v <= 50 for which the existence question was open. We
resolve all but one of these cases.


title:
Simple particle model for low-density granular flow interacting with
  ambient fluid

abstract:
  To understand the process of pattern formation in a low-density granular
flow, we propose a simple particle model. This model considers spherical
particles moving over an inclined flat surface based on three forces: gravity
as the driving force, repulsive force due to particle collision, and drag force
as the particle-- interaction through the ambient fluid. Numerical simulations
of this model are conducted in two different types of two-dimensional planes,
i.e., the monolayer was treated. In the horizontal plane parallel to the slope,
particles aggregate at the moving front of the granular flow; and subsequently,
flow instability occurs as a wavy pattern. This flow pattern is caused by the
interparticle interaction arising from the drag force. Additionally, a vortex
convection of particles is formed inside the aggregations. Meanwhile, in the
vertical plane on the slope, particle aggregation is also found at the moving
front of the granular flow. The aggregation resembles a head--tail structure,
where the frontal angle against the slope approaches 60 degree from a larger
angle as time progresses. Comparing the numerical result by varying the
particle size, the qualitative dynamics of the granular flow are independent of
size. To elucidate this reason, we perform a nondimensionalization for this
model. The result indicates that our model can be simplified to dimensionless
equations with one dimensionless parameter that represents the ratio of the
gravity term to the excluded volume effect.


title: Stationary black-hole binaries: A non-existence proof

abstract:
  We resume former discussions of the question, whether the spin-spin repulsion
and the gravitational attraction of two aligned black holes can balance each
other. Based on the solution of a boundary problem for disconnected (Killing)
horizons and the resulting violation of characteristic black hole properties,
we present a non-existence proof for the equilibrium configuration in question.
From a mathematical point of view, this result is a further example for the
efficiency of the inverse ("scattering") method in non-linear theories.


title:
Inflation-rate Derivatives: From Market Model to Foreign Currency
  Analogy

abstract:
  In this paper, we establish a market model for the term structure of forward
inflation rates based on the risk-neutral dynamics of nominal and real
zero-coupon bonds. Under the market model, we can price inflation caplets as
well as inflation swaptions with a formula similar to the Black's formula, thus
justify the current market practice. We demonstrate how to further extend the
market model to cope with volatility smiles. Moreover, we establish a
consistency condition on the volatility of real zero-coupon bonds using
arbitrage arguments, and with that re-derive the model of Jarrow and Yildirim
(2003) with real forward rates based on "foreign currency analogy", and thus
interconnect the two modeling paradigms.


title:
A New 100-GHz Band Two-Beam Sideband-Separating SIS Receiver for
  Z-Machine on the NRO 45-m Radio Telescope

abstract:
  We have developed a two-beam waveguide-type dual-polarization
sideband-separating SIS receiver system in the 100-GHz band for {\it z}-machine
on the 45-m radio telescope at the Nobeyama Radio Observatory. The receiver is
intended for astronomical use in searching for highly redshifted spectral lines
from galaxies of unknown redshift. This receiver has two beams, which have
45$^{\prime\prime}$ of beam separation and allow for observation with the
switch in the on-on position. The receiver of each beam is composed of an
ortho-mode transducer and two sideband-separating SIS mixers, which are both
based on a waveguide technique, and the receiver has four intermediate
frequency bands of 4.0--8.0 GHz. Over the radio frequency range of 80--116 GHz,
the single-sideband receiver noise temperature is lower than about 50 K, and
the image rejection ratios are greater than 10 dB in most of the same frequency
range. The new receiver system has been installed in the telescope, and we
successfully observed a $^{12}$CO ({\it J}=3--2) emission line toward a
cloverleaf quasar at {\it z} = 2.56, which validates the performance of the
receiver system. The SSB noise temperature of the system, including the
atmosphere, is typically 150--300 K at a radio frequency of 97 GHz. We have
begun blind search of high-{\it J} CO toward high-{\it z} submillimeter
galaxies.


title:
Effects of non-magnetic defects in hole doped cuprates: exploration of
  the roles of the underlying electronic correlations

abstract:
  The effects of non-magnetic iso-valent defects inside the CuO2 plane(s) on
superconducting transition temperature, Tc, dc charge transport, and the bulk
magnetic susceptibility, \c{hi}(T), were investigated for the
YBa2(Cu1-yZny)3O7-d (Zn-YBCO) and La2-xSrxCu1-yZnyO4 (Zn-LSCO) superconductors
over a wide range of hole concentrations, p, and Zn contents (y) in the CuO2
plane(s). From the analysis of the \c{hi}(T, y) data, the pseudogap energy
scale, {\epsilon}g, was found to be almost independent of the defect content at
a given value of p. The Zn induced rate of suppression of Tc, dTc(p)/dy, was
found to be strongly p-dependent and showed a systematic variation with hole
concentration, except in the vicinity of p ~ 0.125, i.e., near the so-called
1/8th anomaly where the charge and spin stripe orderings are at their strongest
in various families of hole doped cuprates. Near p ~ 0.125, the static striped
charge ordering is largely believed to dominate the T-p electronic phase
diagram. dTc(p)/dy decreased strongly around this composition, i.e., Zn
abruptly became less effective in degrading Tc when p ~ 0.125. This
observation, together with the facts that (i) Zn suppresses Tc most effectively
and (ii) the characteristic pseudogap energy scale remains insensitive to the
level of Zn substitution, provide us with important clues regarding the nature
and interplay of the underlying electronic correlations present in high-Tc
cuprates. We have discussed the possible connections among the stripe ordering,
superconducting correlations and the pseudogap phenomenon in details in view of
the above findings.


title: Tau function and the Prym class

abstract:
  We use the formalism of the Bergman tau functions to study the geometry of
moduli spaces of holomorphic quadratic differentials on complex algebraic
curves. We introduce two natural tau functions and interpret them as
holomorphic sections of certain line bundles on the moduli space. Analyzing the
asymptotic behavior of these tau functions near the boundary of the moduli
space we get two non-trivial relation in the rational Picard group of the
moduli space of quadratic differential.


title:
Ferromagnetic Quantum Critical Point Induced by Tuning the Magnetic
  Dimensionality of the Heavy-Fermion Iron Oxypnictide Ce(Ru$_{1-x}$Fe$_x$)PO

abstract:
  We have performed 31P-NMR measurements of the c-axis-aligned poly-crystal
Ce(Ru1-xFex)PO with a two-dimensional layered structure in order to understand
the origin of TCurie suppression by Fe substitution. The variation in the
magnetic-fluctuation character with respect to x is investigated from the
in-plane and out-of plane fluctuations and the relationship between the static
spin susceptibility and the in-plane fluctuation. It was found that
three-dimensional ferromagnetic (FM) correlations are dominant and give rise to
the FM ordering in CeRuPO. The out-of-plane fluctuations are significantly
suppressed with increasing x, and it was revealed that the FM fluctuations
become two dimensional near a FM quantum critical point (QCP). Our NMR results
strongly suggest that a unique FM QCP in Ce(Ru1-xFex)PO is induced by the
suppression of the magnetic correlations along the c-axis, which is a different
mechanism from that presumed in heavy-fermion compounds.


title: A Universal Quantum Circuit Scheme For Finding Complex Eigenvalues

abstract:
  We present a general quantum circuit design for finding eigenvalues of
non-unitary matrices on quantum computers using the iterative phase estimation
algorithm. In particular, we show how the method can be used for the simulation
of resonance states for quantum systems.


title:
Complexity of equivalence relations and preorders from computability
  theory

abstract:
  We study the relative complexity of equivalence relations and preorders from
computability theory and complexity theory. Given binary relations $R, S$, a
componentwise reducibility is defined by $ R\le S \iff \ex f \, \forall x, y \,
[xRy \lra f(x) Sf(y)]. $ Here $f$ is taken from a suitable class of effective
functions. For us the relations will be on natural numbers, and $f$ must be
computable. We show that there is a $\Pi_1$-complete equivalence relation, but
no $\Pi k$-complete for $k \ge 2$.
  We show that $\Sigma k$ preorders arising naturally in the above-mentioned
areas are $\Sigma k$-complete. This includes polynomial time $m$-reducibility
on exponential time sets, which is $\Sigma 2$, almost inclusion on r.e.\ sets,
which is $\Sigma 3$, and Turing reducibility on r.e.\ sets, which is $\Sigma
4$.


title:
SMML estimators for exponential families with continuous sufficient
  statistics

abstract:
  The minimum message length principle is an information theoretic criterion
that links data compression with statistical inference. This paper studies the
strict minimum message length (SMML) estimator for $d$-dimensional exponential
families with continuous sufficient statistics, for all $d \ge 1$. The
partition of an SMML estimator is shown to consist of convex polytopes (i.e.
convex polygons when $d=2$) which can be described explicitly in terms of the
assertions and coding probabilities. While this result is known, we give a new
proof based on the calculus of variations, and this approach gives some
interesting new inequalities for SMML estimators. We also use this result to
construct an SMML estimator for a $2$-dimensional normal random variable with
known variance and a normal prior on its mean.


title:
A Thermal Infrared Imaging Study of Very Low-Mass, Wide Separation Brown
  Dwarf Companions to Upper Scorpius Stars: Constraining Circumstellar
  Environments

abstract:
  We present a 3-5um LBT/MMT adaptive optics imaging study of three Upper
Scorpius stars with brown dwarf (BD) companions with very low-masses/mass
ratios (M_BD < 25M_Jup; M_BD / M_star ~ 1-2%), and wide separations (300-700
AU): GSC 06214, 1RXS 1609, and HIP 78530. We combine these new thermal IR data
with existing 1-4um and 24um photometry to constrain the properties of the BDs
and identify evidence for circumprimary/secondary disks in these unusual
systems. We confirm that GSC 06214B is surrounded by a disk, further showing
this disk produces a broadband IR excess due to small dust near the dust
sublimation radius. An unresolved 24um excess in the system may be explained by
the contribution from this disk. 1RXS 1609B exhibits no 3-4um excess, nor does
its primary; however, the system as a whole has a modest 24um excess, which may
come from warm dust around the primary and/or BD. Neither object in the HIP
78530 system exhibits near- to mid-IR excesses. We additionally find that the
1-4um colors of HIP 78530B match a spectral type of M3+-2, inconsistent with
the M8 spectral type assigned based on its near-IR spectrum, indicating it may
be a low-mass star rather than a BD. We present new upper limits on additional
low-mass companions in the system (<5M_Jup beyond 175AU). Finally, we examine
the utility of circumsecondary disks as probes of the formation histories of
wide BD companions, finding that the presence of a disk may disfavor BD
formation near the primary with subsequent outward scattering.


title:
Efficient Importance Sampling for Rare Event Simulation with
  Applications

abstract:
  Importance sampling has been known as a powerful tool to reduce the variance
of Monte Carlo estimator for rare event simulation. Based on the criterion of
minimizing the variance of Monte Carlo estimator within a parametric family, we
propose a general account for finding the optimal tilting measure. To this end,
when the moment generating function of the underlying distribution exists, we
obtain a simple and explicit expression of the optimal alternative
distribution. The proposed algorithm is quite general to cover many interesting
examples, such as normal distribution, noncentral $\chi^2$ distribution, and
compound Poisson processes. To illustrate the broad applicability of our
method, we study value-at-risk (VaR) computation in financial risk management
and bootstrap confidence regions in statistical inferences.


title: Bogomolov multipliers of some groups of order $p^{6}$

abstract:
  Let $G$ be a finite group, $V$ a faithful finite-dimensional representation
of $G$ over the complex field $\mathbb{C}$ and $\mathbb{C}(V)^{G}$ be the
corresponding invariant field. The Bogomolov multiplier $B_{0}(G)$ of $G$ is
canonically isomorphic to the unramified cohomological group
$H_{\textrm{nr}}^{2}(\mathbb{C}(V)^{G},\mathbb{Q}/\mathbb{Z})$, which has been
used by Saltman (1984) and Bogomolov (1988) to provide counter-examples to the
rationality problem of $\mathbb{C}(V)^{P}$ for finite $p$-groups $P$ over
$\mathbb{C}$. In this paper, we investigate the vanishing property of
$B_{0}(P)$, where $P$ denotes a $p$-group of order $p^{6}$ for $p\geqslant 3$.


title:
Wireless Information and Power Transfer: A Dynamic Power Splitting
  Approach

abstract:
  Scavenging energy from ambient radio signals, namely wireless energy
harvesting (WEH), has recently drawn significant attention. In this paper, we
consider a point-to-point wireless link over the flat-fading channel, where the
receiver replenishes energy via WEH from the signals sent by the transmitter.
We consider a SISO (single-input single-output) system where the single-antenna
receiver cannot decode information and harvest energy independently from the
same signal received. Under this practical constraint, we propose a dynamic
power splitting (DPS) scheme, where the received signal is split into two
streams with adjustable power levels for information decoding and energy
harvesting separately based on the instantaneous channel condition that is
assumed to be known at the receiver. We derive the optimal power splitting rule
at the receiver to achieve various trade-offs between the maximum ergodic
capacity for information transfer and the maximum average harvested energy for
power transfer. Moreover, for the case when the channel state information is
also known at the transmitter, we investigate the joint optimization of
transmitter power control and receiver power splitting. Finally, we extend the
result for DPS to the SIMO (single-input multiple-output) system and
investigate a low-complexity power splitting scheme termed antenna switching.


title:
Quasi-periodic solutions for p-Laplacian equations with jumping
  nonlinearity and unbounded potential terms

abstract:
  In this paper, we are concerned with the boundedness of all the solutions for
a kind of second order differential equations with p-Laplacian term
$(\phi_p(x'))'+a\phi_p(x^+)-b\phi_p(x^-)+f(x)=e(t)$, where $x^+=\max (x,0)$,
$x^- =\max(-x,0)$, $\phi_p(s)=|s|^{p-2}s$, $p\geq2$, $a$ and $b$ are positive
constants $(a\not=b)$, and satisfy
$\frac{1}{a^{\frac{1}{p}}}+\frac{1}{b^{\frac{1}{p}}}=2\omega^{-1} $,where
$\omega \in \RR^+ \backslash \QQ$, the perturbation $f$ is unbounded, $e(t)\in
{\cal C}^{6}$ is is a smooth $2\pi_p$-periodic function on $t$, where
$\pi_p=\frac{2\pi(p-1)^{\frac{1}{p}}}{p\sin\frac{\pi}{p}}$.


title:
Families of nondiffeomorphic 4-manifolds with the same Seiberg-Witten
  invariants

abstract:
  In this article, we show that, at least for non-simply connected case, there
exist an infinite family of nondiffeomorphic symplectic 4-manifolds with the
same Seiberg-Witten invariants. The main techniques are knot surgery and a
covering method developed in Fintushel and Stern's paper (Geometry and
Topology, 1999).


title: Jaynes-Cummings model in a finite Kerr medium

abstract:
  We introduce a spin model which exhibits the main properties of a Kerr medium
to describe an intensity dependent coupling between a two-level atom and the
radiation field. We select a unitary irreducible representation of the su(2)
Lie algebra such that the number of excitations of the field is bounded from
above. We analyze the behavior of both the atomic and the field quantum
properties and its dependence on the maximal number of excitations.


title: On multiplicative subgroups in division rings

abstract:
  Let $D$ be a division ring. In this paper, we investigate properties of
subgroups of an arbitrary subnormal subgroup of the multiplicative group $D^*$
of $D$. The new obtained results generalize some previous results on subgroups
of $D^*$.


title: Robust Hedging with Proportional Transaction Costs

abstract:
  Duality for robust hedging with proportional transaction costs of path
dependent European options is obtained in a discrete time financial market with
one risky asset. Investor's portfolio consists of a dynamically traded stock
and a static position in vanilla options which can be exercised at maturity.
Both the stock and the option trading is subject to proportional transaction
costs. The main theorem is duality between hedging and a Monge-Kantorovich type
optimization problem. In this dual transport problem the optimization is over
all the probability measures which satisfy an approximate martingale condition
related to consistent price systems in addition to the usual marginal
constraints.


title: General Solution to Unidimensional Hamilton-Jacobi Equation

abstract:
  A method for finding the general solution to the partial differential
equations: \ $F(u_x,u_y)=0$; \ $F(f(x)\:u_x,u_y)=0$ \ (or \
$F(u_x,h(y)\:u_y)=0$) \ is presented, founded on a Legendre like transformation
and a theorem for Pfaffian differential forms. As the solution obtained depends
on an arbitrary function, then it is a general solution. As an extension of the
method it is obtained a general solution to PDE: \ $F(f(x)\:u_x,u_y)=G(x)$, and
then applied to unidimensional Hamilton-Jacobi equation.


title: The integration theory of linear ordinary differential equations

abstract: The Integration Theory of Linear Ordinary Differential Equation.


title:
Quantum electrodynamics corrections to energies, transition amplitudes
  and parity nonconservation in Rb, Cs, Ba$^+$, Tl, Fr and Ra$^+$

abstract:
  We use previously developed radiative potential method to calculate quantum
electrodynamic (QED) corrections to energy levels and electric dipole
transition amplitudes for atoms which are used for the study of the parity
non-conservation (PNC) in atoms. The QED shift in energies and dipole
amplitudes leads to noticeable change in the PNC amplitudes. This study
compliments the previously considered QED corrections to the weak matrix
elements. We demonstrate that the QED corrections due to the change in energies
and dipole matrix elements are comparable in value to those due to change in
weak matrix elements.


title:
Using the Higgs boson to probe the littlest Higgs model with T-parity
  through $Z_H W_H$ production at the LHC

abstract:
  In the littlest Higgs model with T-parity, the production cross section of
the T-odd heavy gauge boson pair $Z_H W_H$ is quite sizable at the LHC. In
addition, both the $W_H$ and $Z_H$ bosons have almost exclusively one decay
channel into $W A_H$ and $H A_H$ respectively, where the dark matter candidate
$A_H$ yields a large missing energy signal. Upon the discovery of the Higgs
boson at 125 GeV, we study the discovery sensitivity of the final state $ pp
\to b\bar{b} l+\rlap{\,/}{E}_T$ to probe the model at the LHC. We find that the
standard model backgrounds are manageable by applying suitable kinematic cuts.
The LHC running at $\sqrt{s}=14$ TeV with a 100/fb total luminosity is
sensitive to the model if the symmetry breaking scale $f$ is below about 850
GeV.


title:
Fast and Accurate Computation of Exact Nonreflecting Boundary Condition
  for Maxwell's Equations

abstract:
  We report in this paper a fast and accurate algorithm for computing the exact
spherical nonreflecting boundary condition (NRBC) for time-dependent Maxwell's
equations. It is essentially based on a new formulation of the NRBC, which
allows for the use of an analytic method for computing the involved inverse
Laplace transform. This tool can be generically integrated with the interior
solvers for challenging simulations of electromagnetic scattering problems. We
provide some numerical examples to show that the algorithm leads to very
accurate results.


title: Multiplicative groups of division rings

abstract:
  Exactly 170 years ago, the construction of the real quaternion algebra by
William Hamilton was announced in the Proceedings of the Royal Irish Academy.
It became the first example of non-commutative division rings and a major
turning point of algebra. To this day, the multiplicative group structure of
quaternion algebras have not completely been understood. This article is a long
survey of the recent developments on the multiplicative group structure of
division rings.


title: Decompositions of Weighted Conditional Expectation Type Operators

abstract:
  In this paper we investigate boundedness, polar decomposition and spectral
decomposition of weighted conditional expectation type operators on
L^2(\Sigma).


title:
Majorana Fermions in Topological Superconducting Metallic Nanowires
  probed by a Superconducting Condensate

abstract:
  We report on several low temperature experiments supporting the presence of
Majorana fermions in superconducting lead nanowires fabricated with a scanning
tunneling microscope. These nanowires are the connecting bridges between the
STM tip and the sample resulting from indentation processes. We show here that
by a controlled tuning of the geometry of the nanowire region, in which
superconductivity is confined by applied magnetic fields, the conductance
curves obtained in these situations are indicative of topological
superconductivity and Majorana fermions. The most prominent feature of this
behavior is the emergence of a zero bias peak in the conductance curves,
superimposed on a background characteristic of the conductance between a normal
metal and a superconductor in the Andreev regime. The zero bias peak emerges in
some nanowires when a magnetic field larger that the lead bulk critical field
is applied. This field drives one of the electrodes into the normal state while
the other, the tip, remains superconducting on its apex. Meanwhile a
topological superconducting state appears in the connecting nanowire of
nanometric size.


title: The Renormalization Scale-Setting Problem in QCD

abstract:
  A key problem in making precise perturbative QCD predictions is to set the
proper renormalization scale of the running coupling. The conventional
scale-setting procedure assigns an arbitrary range and an arbitrary systematic
error to fixed-order pQCD predictions. In fact, this {\it ad hoc} procedure
gives results which depend on the choice of the renormalization scheme, and it
is in conflict with the standard scale-setting procedure used in QED.
Predictions for physical results should be independent of the choice of scheme
or other theoretical conventions. We review current ideas and points of view on
how to deal with the renormalization scale ambiguity and show how to obtain
renormalization scheme- and scale- independent estimates. We begin by
introducing the renormalization group (RG) equation and an extended version,
which expresses the invariance of physical observables under both the
renormalization scheme and scale-parameter transformations. The RG equation
provides a convenient way for estimating the scheme- and scale- dependence of a
physical process. We then discuss self-consistency requirements of the RG
equations, such as reflexivity, symmetry, and transitivity, which must be
satisfied by a scale-setting method. Four typical scale setting methods
suggested in the literature, {\it i.e.,} the Fastest Apparent Convergence (FAC)
criterion, the Principle of Minimum Sensitivity (PMS), the
Brodsky-Lepage-Mackenzie method (BLM), and the Principle of Maximum
Conformality (PMC), are introduced. Basic properties and their applications are
discussed. We pay particular attention to the PMC, which satisfies all of the
requirements of RG invariance...... [full Abstract is in the paper].


title: Ascertaining the Uncertainty Relations via Quantum Correlations

abstract:
  We propose a new scheme to express the uncertainty principle in form of
inequality of the bipartite correlation functions for a given multipartite
state, which provides an experimentally feasible and model-independent way to
verify various uncertainty and measurement disturbance relations. By virtue of
this scheme the implementation of experimental measurement on the measurement
disturbance relation to a variety of physical systems becomes practical. The
inequality in turn also imposes a constraint on the strength of correlation,
i.e. it determines the maximum value of the correlation function for two-body
system and a monogamy relation of the bipartite correlation functions for
multipartite system.


title:
Further Study on the Doubly Heavy Baryon Production around the $Z^0$
  Peak at A High Luminosity $e^+ e^-$ Collider

abstract:
  The doubly heavy baryon $\Xi_{QQ^{\prime}}$ ($Q^{(\prime)}$ = $b$ or $c$) is
different from the ordinary baryons. The production of the doubly heavy baryon
can provide valuable insight on how the colored $(QQ^{\prime})$-diquark can be
transformed into the color-singlet baryon. As a sequential work of Ref.[2], we
make a further study on the doubly heavy baryon production through the $e^+
e^-$ annihilation channel, $e^{+} + e^{-}\rightarrow\gamma/Z^0 \rightarrow
\Xi_{QQ^{\prime}} +\bar{Q} +\bar{Q^{\prime}}$, within the nonrelativistic QCD
framework. In addition to the total cross sections, we present the baryon
transverse momentum and the rapidity distributions for all these channels.
Typical baryon transverse momentum and rapidity cuts are adopted to show the
properties of these distributions clearly. At a $e^+ e^-$ collider that runs
around the $Z^0$-boson mass with a high luminosity up to ${\cal L} =
10^{34-36}{\rm cm}^{-2} {\rm s}^{-1}$, in comparison to the Belle and BABAR
experiments, it is found that sizable $\Xi_{cc}$, $\Xi_{bc}$ and $\Xi_{bb}$
events can be produced even after performing baryon's transverse momentum and
rapidity cuts due to $Z^0$-boson resonance effect.


title: Decomposition of Singular Matrices into Idempotents

abstract:
  In this paper we provide concrete constructions of idempotents to represent
typical singular matrices over a given ring as a product of idempotents and
apply these factorizations for proving our main results. We generalize works
due to Laffey (Products of idempotent matrices. Linear Multilinear A. 1983) and
Rao (Products of idempotent matrices. Linear Algebra Appl. 2009) to
noncommutative setting and fill in the gaps in the original proof of Rao's main
theorems. We also consider singular matrices over B\'ezout domains as to when
such a matrix is a product of idempotent matrices.


title:
Tunneling spectroscopy of phosphorus impurity atom on Ge(111)-(2x1)
  surface. {Ab initio} study

abstract:
  We have performed the numerical modeling of Ge(111)-(2x1) surface electronic
properties in vicinity of P donor impurity atom located near the surface. We
have found a notable increase of surface $LDOS$ around surface dopant near the
bottom of empty surface states band $\pi^*$, which we called split state due to
its limited spatial extent and energetic position inside the band gap. We show,
that despite of well established bulk donor impurity energy level position at
the very bottom of conduction band, surface donor impurity on Ge(111)-(2x1)
surface might produce energy level below Fermi energy, depending on impurity
atom local environment. It was demonstrated, that impurity, located in
subsurface atomic layers, is visible in STM experiment on Ge(111)-(2x1)
surface. The quasi-1D character of impurity image, observed in STM experiments,
is confirmed by our computer simulations with a note that a few $\pi$-bonded
dimer rows may be affected by the presence of impurity atom.


title:
Borel summation of the small time expansion of the heat kernel with a
  vector potential

abstract:
  We study the Borel summability of the small time expansion of the heat kernel
associated to a first order perturbation of a Laplacian. An explicit formula
for this kernel plays a central role. As a consequence, we get a Poisson
formula on the torus.


title: Compression Instabilities of Tissues with Localized Strain Softening

abstract:
  The stress-strain relationship of biological soft tissues affected by
Marfan's syndrome is believed to be non-convex. More specifically, Haughton and
Merodio recently proposed a strain-energy density leading to localized strain
softening, in order to model the unusual mechanical behavior of these
isotropic, incompressible tissues. Here we investigate how this choice of
strain energy affects the results of some instabilities studies, such as those
concerned with the compression of infinite and semi-infinite solids, slabs, and
cylinders, or with the bending of blocks, and draw comparisons with known
results established previously for the case of a classical neo-Hookean solid.
We find that the localized strain softening effect leads to early instability
only when instability occurs at severe compression ratios for neo-Hookean
solids, as is the case for bulk, surface, and bending instabilities.


title: MAD with Aliens? Interstellar deterrence and its implications

abstract:
  The possibility that extraterrestrial intelligences (ETIs) could be hostile
to humanity has been raised as a reason to avoid even trying to contact ETIs.
However, there is a distinct shortage of analytical discussion about the risks
of an attack, perhaps because of an implicit premise that we cannot analyze the
decision making of an alien civilization. This paper argues that we can draw
some inferences from the history of the Cold War and nuclear deterrence in
order to show that at least some attack scenarios are likely to be exaggerated.
In particular, it would seem to be unlikely that the humanity would be attacked
simply because it might, some time in the future, present a threat to the ETI.
Even if communication proves to be difficult, rational decision-makers should
avoid unprovoked attacks, because their success would be very difficult to
assure. In general, it seems believable that interstellar conflicts between
civilizations would remain rare. The findings advise caution for proposed
interstellar missions, however, as starfaring capability itself might be seen
as a threat. On the other hand, attempting to contact ETIs seems to be a
relatively low-risk strategy: paranoid ETIs must also consider the possibility
that the messages are a deception designed to lure out hostile civilizations
and preemptively destroy them.