title:
Baryonic Matter in the Hidden Local Symmetry Induced from Holographic
  QCD Models

abstract:
  Baryonic matter is studied in the Skyrme model by taking into account the
roles of $\pi,$ $\rho$, and $\omega$ mesons through the hidden local symmetry
up to $\mathcal{O}(p^4)$ terms including the homogeneous Wess-Zumino (hWZ)
terms. Using the master formulas for the low energy constants derived from
holographic QCD models the skyrmion matter properties can be quantitatively
calculated with the input values of the pion decay constant $f_\pi$ and the
vector meson mass $m_\rho^{}$. We find that the hWZ terms are responsible for
the repulsive interactions of the $\omega$ meson. In addition, the
self-consistently included $\mathcal{O}(p^4)$ terms with the hWZ terms is found
to increase the half skyrmion phase transition point above the normal nucleon
density.


title: Bochner formula and Bernstein type estimates on locally finite graphs

abstract:
  In this paper, we consider three typical problems on a locally finite
connected graph. The first one is to study the Bochner formula for the
Laplacian operator on a locally finite connected graph. We use the Bochner
formula to derive the Bernstein type estimate of the heat equation. The second
is to derive the Reilly type formula of the Laplacian operator. The last one is
to obtain global positive solution to porous-media equation via the use of
Aronson-Benilan argument. There is not much work in the direction of the study
of nonlinear heat equations on locally finite connected graphs.


title:
Realization of 2D Spin-orbit Interaction and Exotic Topological Orders
  in Cold Atoms

abstract:
  Majorana zero bound mode exists in the vortex core of a chiral $p+ip$
superconductor or superfluid, which can be driven from an s-wave pairing state
by two-dimensional (2D) spin-orbit (SO) coupling. We propose here a novel
scheme based on realistic cold atom platforms to generate 2D SO interactions in
a blue-detuned square optical lattice, and predict both the quantum anomalous
Hall effect and chiral topological superfluid phase in the experimentally
accessible parameter regimes. This work opens a new direction with experimental
feasibility to observe non-Abelian topological orders in cold atom systems.


title: Semiconcave functions in Alexandrov's geometry

abstract:
  The following is a compilation of some techniques in Alexandrov's geometry
which are directly connected to convexity.


title:
What can we learn from the 126 GeV Higgs boson for the Planck scale
  physics ? - Hierarchy problem and the stability of the vacuum -

abstract:
  The discovery of the Higgs particle at around 126 GeV has given us a big hint
towards the origin of the Higgs potential. The running quartic self-coupling
decreases and crosses zero somewhere in the very high energy scale. It is
usually considered as a signal of the instability of the standard model (SM)
vacuum, but it can also indicate a link between the physics in the electroweak
scale and the Planck scale. Furthermore, the LHC experiments as well as the
flavor physics experiments give strong constraints on the physics beyond the
SM. It urges us to reconsider the widely taken approach to the physics beyond
the SM (BSM), namely the approach based on the gauge unification below the
Planck scale and the resulting hierarchy problem. Motivated by the recent
experiments, we first revisit the hierarchy problem and consider an alternative
appoach based on a classical conformality of the SM without the Higgs mass
term.
  In this talk, I review our recent proposal of a B-L extension of the SM with
a flat Higgs potential at the Planck scale. This model can be an alternative
solution to the hierarchy problem as well as being phenomenologically viable to
explain the neutrino oscillations and the baryon asymmetry of the universe.
With an assumption that the Higgs has a flat potential at the Planck scale, we
show that the B-L symmetry is radiatively broken at the TeV scale via the
Coleman-Weinberg mechanism, and it triggers the electroweak symmetry breaking
through a radiatively generated scalar mixing. The ratio of these two breaking
scales is dynamically determined by the B-L gauge coupling.


title:
On a representation of time space-harmonic polynomials via symbolic
  L\'evy processes

abstract:
  In this paper, we review the theory of time space-harmonic polynomials
developed by using a symbolic device known in the literature as the classical
umbral calculus. The advantage of this symbolic tool is twofold. First a moment
representation is allowed for a wide class of polynomial stochastic involving
the L\'evy processes in respect to which they are martingales. This
representation includes some well-known examples such as Hermite polynomials in
connection with Brownian motion. As a consequence, characterizations of many
other families of polynomials having the time space-harmonic property can be
recovered via the symbolic moment representation. New relations with
Kailath-Segall polynomials are stated. Secondly the generalization to the
multivariable framework is straightforward. Connections with cumulants and Bell
polynomials are highlighted both in the univariate case and in the multivariate
one. Open problems are addressed at the end of the paper.


title: Numerical Ranges of KMS Matrices

abstract:
  A KMS matrix is one of the form $$J_n(a)=[{array}{ccccc} 0 & a & a^2 &... &
a^{n-1} & 0 & a & \ddots & \vdots & & \ddots & \ddots & a^2 & & & \ddots & a 0
& & & & 0{array}]$$ for $n\ge 1$ and $a$ in $\mathbb{C}$. Among other things,
we prove the following properties of its numerical range: (1) $W(J_n(a))$ is a
circular disc if and only if $n=2$ and $a\neq 0$, (2) its boundary $\partial
W(J_n(a))$ contains a line segment if and only if $n\ge 3$ and $|a|=1$, and (3)
the intersection of the boundaries $\partial W(J_n(a))$ and $\partial
W(J_n(a)[j])$ is either the singleton $\{\min\sigma(\re J_n(a))\}$ if $n$ is
odd, $j=(n+1)/2$ and $|a|>1$, or the empty set $\emptyset$ if otherwise, where,
for any $n$-by-$n$ matrix $A$, $A[j]$ denotes its $j$th principal submatrix
obtained by deleting its $j$th row and $j$th column ($1\le j\le n$), $\re A$
its real part $(A+A^*)/2$, and $\sigma(A)$ its spectrum.


title: Zero-dilation Index of a Finite Matrix

abstract:
  For an $n$-by-$n$ complex matrix $A$, we define its zero-dilation index
$d(A)$ as the largest size of a zero matrix which can be dilated to $A$. This
is the same as the maximum $k$ ($\ge 1$) for which 0 is in the rank-$k$
numerical range of $A$. Using a result of Li and Sze, we show that if $d(A) >
\lfloor 2n/3\rfloor$, then, under unitary similarity, $A$ has the zero matrix
of size $3d(A)-2n$ as a direct summand. It complements the known fact that if
$d(A)>\lfloor n/2\rfloor$, then 0 is an eigenvalue of $A$. We then use it to
give a complete characterization of $n$-by-$n$ matrices $A$ with $d(A)=n-1$,
namely, $A$ satisfies this condition if and only if it is unitarily similar to
$B\oplus 0_{n-3}$, where $B$ is a 3-by-3 matrix whose numerical range $W(B)$ is
an elliptic disc and whose eigenvalue other than the two foci of $\partial
W(B)$ is 0. We also determine the value of $d(A)$ for any normal matrix and any
weighted permutation matrix $A$.


title:
Sensitivity to thermal noise of atomic Einstein-Podolsky-Rosen
  entanglement

abstract:
  We examine the prospect of demonstrating Einstein-Podolsky-Rosen (EPR)
entanglement for massive particles using spin-changing collisions in a spinor
Bose-Einstein condensate. Such a demonstration has recently been attempted by
Gross et al. [Nature 480, 219 (2011)] using a condensate of Rb-87 atoms trapped
in an optical lattice potential. For the condensate initially prepared in the
(F,m_{F})=(2,0) hyperfine state, with no population in the m_{F}=+-1 states, we
predict a significant suppression of the product of inferred quadrature
variances below the Heisenberg uncertainty limit, implying strong EPR
entanglement. However, such EPR entanglement is lost when the collisions are
initiated in the presence of a small (currently undetectable) thermal
population n_{th} in the m_{F}=+-1 states. For condensates containing 150 to
200 atoms, we predict an upper bound of n_{th}~1 that can be tolerated in this
experiment before EPR entanglement is lost.


title:
Pressure Induced Superconductivity and Structural Transitions in
  Ba(Fe0.9Ru0.1)2As2

abstract:
  High pressure electrical resistance and x-ray diffraction measurements have
been performed on ruthenium-doped Ba(Fe0.9Ru0.1)2As2, up to pressures of 32 GPa
and down to temperatures of 10 K, using designer diamond anvils under
quasi-hydrostatic conditions. At 3.9 GPa, there is an evidence of
pressure-induced superconductivity with Tc onset of 24 K and zero resistance at
Tc zero of ~14.5 K. The superconducting transition temperature reaches maximum
at ~5.5 GPa and then decreases gradually with increase in pressure before
completely disappearing above 11.5 GPa. Upon increasing pressure at 200 K, an
isostructural phase transition from a tetragonal (I4/mmm) phase to a collapsed
tetragonal phase is observed at 14 GPa and the collapsed phase persists up to
at least 30 GPa. The changes in the unit cell dimensions are highly anisotropic
across the phase transition and are qualitatively similar to those observed in
undoped BaFe2As2 parent.


title: Amalgam width of matroids

abstract:
  We introduce a new matroid width parameter based on the operation of matroid
amalgamation, which we call amalgam-width. The parameter is linearly related to
branch-width on finitely representable matroids (which is not possible for
branch-width). In particular, any property expressible in the monadic second
order logic can be decided in linear time for matroids with bounded
amalgam-width. We also prove that the Tutte polynomial can be computed in
polynomial time for matroids with bounded amalgam width.


title:
Oxygen-Vacancy-Induced Antiferromagnetism to Ferromagnetism
  Transformation in Multiferroic Thin Films

abstract:
  Oxygen vacancies (VOs) effects on magnetic ordering in
Eu0.5Ba0.5TiO3-{\delta} (EBTO3-{\delta}) thin films have been investigated
using a combination of experimental measurements and first-principles
density-functional calculations. Two kinds of EBTO3-{\delta}thin films with
different oxygen deficiency have been fabricated. A nuclear resonance
backscattering spectrometry technique has been used to quantitatively measure
contents of the VOs. Eu0.5Ba0.5TiO3 ceramics have been known to exhibit
ferroelectric (FE) and G-type antiferromagnetic (AFM) properties. While, a
ferromagnetic (FM) behavior with a Curie temperature of 1.85 K has been found
in the EBTO3-{\delta} thin films. Spin-polarized Ti3+ ions, which originated
from the VOs, has been proven to mediate a FM coupling between the local Eu 4f
spins and were believed to be responsible for the great change of the magnetic
ordering. Our work opens up a new avenue for developing FM-FE materials by
manipulating the oxygen deficiency in AFM-FE multiferroics.


title:
Limitations on the quantum non-Gaussian characteristic of
  Schr\"{o}dinger kitten state generation

abstract:
  A quantitative analysis is conducted on the impacts of experimental
imperfections in the input state, the detector properties, and their
interactions on photon-subtracted squeezed vacuum states in terms of a quantum
non-Gaussian character witness and Wigner function. Limitations of the
non-classicality and quantum non-Gaussian characteristic of Schr\"{o}dinger
kitten states are identified and addressed. The detrimental effects of a
photon-number detector on the generation of odd Schr\"{o}dinger kitten state at
near-infrared wavelengths ($\sim$ 860 nm) and telecommunication wavelengths
($\sim$ 1550 nm) are presented and analysed. This analysis demonstrates that
the high dark count probability of telecommunication-wavelength photon-number
detectors significantly undermines the negativity of the Wigner function in
Schr\"{o}dinger kitten state generation experiments. For a
one-photon-subtracted squeezed vacuum state at $\sim$ 1550 nm, an APD-based
photon-number-resolving detector provides no significant advantage over a
non-photon-number-resolving detector when imperfections, such as dark count
probability and inefficiency, are taken into account.


title: The characterization of Hermitian surfaces by the number of points

abstract:
  The nonsingular Hermitian surface of degree $\sqrt{q} +1$ is characterized by
its number of $\Bbb{F}_q$-points among the irreducible surfaces over
$\Bbb{F}_q$ of degree $\sqrt{q} +1$ in the projective 3-space.


title: Model problems for two equations, which type depends on solution

abstract:
  In this work there are considered model problems for two nonlinear equations,
which type depends on the solution. One of the equations may be called a
nonlinear analog of the Lavrent'ev-Bitsadze equation.


title:
Non-classical two-photon interference between independent telecom light
  pulses converted by difference-frequency generation

abstract:
  We experimentally demonstrated the Hong-Ou-Mandel (HOM) interference between
two photons after visible-to-telecommunication wavelength conversion. In the
experiment, we prepared a heralded single photon by using spontaneous
parametric down-conversion and the other photon from a weak laser source at 780
nm. We converted the wavelength of both photons to the telecommunication
wavelength of 1522 nm by using difference-frequency generation in a
periodically-poled lithium niobate, and then observed the HOM interference
between the photons. The observed visibility is $0.76\pm 0.12$ which clearly
shows the non-classical interference of the two photons. The high-visibility
interference is an important step for fiber-based quantum communications of
photons generated from visible photon emitters.


title:
On the number of generators of ideals defining Gorenstein Artin algebras
  with Hilbert function $ (1,n+1, 1+{n+1\choose 2},...,{n+1\choose 2}+1,
  n+1,1)$

abstract:
  Let $R = k[w, x_1,..., x_n]/I$ be a graded Gorenstein Artin algebra . Then $I
= \ann F$ for some $F$ in the divided power algebra $k_{DP}[W, X_1,..., X_n]$.
If $RI_2$ is a height one idealgenerated by $n$ quadrics, then $I_2 \subset
(w)$ after a possible change of variables. Let $J = I \cap k[x_1,..., x_n]$.
Then $\mu(I) \le \mu(J)+n+1$ and $I$ is said to be generic if $\mu(I) = \mu(J)
+ n+1$. In this article we prove necessary conditions, in terms of $F$, for an
ideal to be generic. With some extra assumptions on the exponents of terms of
$F$, we obtain a characterization for $I = \ann F$ to be generic in codimension
four.


title: Twisted reduction in large $N$ QCD with adjoint Wilson fermions

abstract:
  The twisted reduced model of large $N$ QCD with two adjoint Wilson fermions
is studied numerically using the Hybrid Monte Carlo method. This is the
one-site model, whose large $N$ limit (large volume limit) is expected to be
conformal or nearly conformal. The string tension calculated at $N$=289
approaches zero as we decrease quark mass and the preliminary value of the mass
anomalous dimension $\gamma_*$ is close to one if we assume that the theory is
governed by an infrared fixed point. We also discuss the twisted reduced model
with single adjoint Wilson fermion. The string tension remains finite as the
quark mass decreases to zero, supporting that this is the confining theory.


title:
On two classes of perturbations: Role of signs of second-order
  Rayleigh-Schr\"odinger energy corrections

abstract:
  We distinguish two extreme classes of perturbation problems depending on the
signs of second-order energy corrections and argue why it is generally much
more probable to obtain a negative value of the same for any state in the
standard Rayleigh-Schr\"odinger perturbation theory. The classes are seen to
differ in reproducing results of finite-dimensional matrix perturbations. A few
related issues are also discussed, some of which are based on available
analytical results.


title:
Nambu-Goldstone modes and the Josephson supercurrent in the bilayer
  quantum Hall system

abstract:
  An interlayer phase coherence develops spontaneously in the bilayer quantum
Hall system at the filling factor $\nu =1$. On the other hand, the spin and
pseudospin degrees of freedom are entangled coherently in the canted
antiferromagnetic phase of the bilayer quantum Hall system at the filling
factor $\nu =2$. There emerges a complex Nambu-Goldstone mode with a linear
dispersion in the zero tunneling-interaction limit for both cases. Then its
phase field provokes a Josephson supercurrent in each layer, which is
dissipationless as in a superconductor. We study what kind of phase coherence
the Nambu-Goldstone mode develops in association with the Josephson
supercurrent and its effect on the Hall resistance in the bilayer quantum Hall
system at $\nu=1,2$, by employing the Grassmannian formalism.


title: Robust Strong Lensing Time Delay Estimation

abstract:
  Strong gravitational lensing of time variable sources such as quasars and
supernovae creates observable time delays between the multiple images. Time
delays can provide a powerful cosmographic probe through the "time delay
distance" involving the ratio of lens, source, and lens-source distances.
However, lightcurves of lensed images have measurement gaps, noise, systematics
such as microlensing from substructure along an image line of sight, and no a
priori functional model, making robust time delay estimation challenging. Using
Gaussian process techniques, we demonstrate success in accurate blind
reconstruction of time delays and reduction in uncertainties for real data.


title: The Everett axiom of parallelism

abstract:
  In this work we consider the meaningfulness of the concept parallel worlds.
To that extent we propose the model of the infinite-dimensionaly multievent
space, generating everettics altervers in each point of Minkowski space time.
Our research reveals fractal character of such alterverse.


title:
The Advanced Superconducting Test Accelerator (ASTA) at Fermilab: A
  User-Driven Facility Dedicated to Accelerator Science \& Technology

abstract:
  Fermilab is currently constructing a superconducting electron linac that will
eventually serve as the backbone of a user-driven facility for accelerator
science. This contribution describes the accelerator and summarizes the enabled
research thrusts. A detailed description of the facility can be found at
[\url{http://apc.fnal.gov/programs2/ASTA_TEMP/index.shtml}].


title: Lattice QCD with 12 Quark Flavors: A Careful Scrutiny

abstract:
  With a substantial amount of simulations, we have explored the system across
a wide range of lattice scales. We have located a lattice artifact, first order
bulk transition, have studied its properties, and found that the flavor-singlet
scalar meson mass vanishes at the critical endpoint. We will discuss the
lattice phase diagrams and the continuum limits for both a spontaneous chiral
symmetry breaking phase and an infrared conformal phase, and compare results
with other groups.


title: Initial forms of stable invariants for additive group actions

abstract:
  The Derksen--Hadas--Makar-Limanov theorem (2001) says that the invariants for
nontrivial actions of the additive group on a polynomial ring have no intruder.
In this paper, we generalize this theorem to the case of stable invariants.


title:
Decay behavior of localized states at reconstructed armchair graphene
  edges

abstract:
  Density functional theory calculations are used to investigate the electronic
structures of localized states at reconstructed armchair graphene edges. We
consider graphene nanoribbons with two different edge types and obtain the
energy band structures and charge densities of the edge states. By examining
the imaginary part of the wavevector in the forbidden energy region, we reveal
the decay behavior of the wavefunctions in graphene. The complex band
structures of graphene in the armchair and zigzag directions are presented in
both tight-binding and first-principles frameworks.


title: CMB likelihood approximation for banded probability distributions

abstract:
  We investigate sets of random variables that can be arranged sequentially
such that a given variable only depends conditionally on its immediate
predecessor. For such sets, we show that the full joint probability
distribution may be expressed exclusively in terms of uni- and bivariate
marginals. Under the assumption that the CMB power spectrum likelihood only
exhibits correlations within a banded multipole range, \Delta l, we apply this
expression to two outstanding problems in CMB likelihood analysis. First, we
derive a statistically well-defined hybrid likelihood estimator, merging two
independent (e.g., low- and high-l) likelihoods into a single expression that
properly accounts for correlations between the two. Applying this expression to
the WMAP likelihood, we verify that the effect of correlations on cosmological
parameters in the transition region is negligible in terms of cosmological
parameters for WMAP; the largest relative shift seen for any parameter is
0.06\sigma. However, because this may not hold for other experimental setups
(e.g., for different instrumental noise properties or analysis masks), but must
rather be verified on a case-by-case basis, we recommend our new hybridization
scheme for future experiments for statistical self-consistency reasons. Second,
we use the same expression to improve the convergence rate of the Blackwell-Rao
likelihood estimator, reducing the required number of Monte Carlo samples by
several orders of magnitude, and thereby extend it to high-l applications.


title:
Low Rank Approximation Method for Efficient Green's Function Calculation
  of Dissipative Quantum Transport

abstract:
  In this work, the low rank approximation concept is extended to the
non-equilibrium Green's function (NEGF) method to achieve a very efficient
approximated algorithm for coherent and incoherent electron transport. This new
method is applied to inelastic transport in various semiconductor nanodevices.
Detailed benchmarks with exact NEGF solutions show 1) a very good agreement
between approximated and exact NEGF results, 2) a significant reduction of the
required memory, and 3) a large reduction of the computational time (a factor
of speed up as high as 150 times is observed). A non-recursive solution of the
inelastic NEGF transport equations of a 1000 nm long resistor on standard
hardware illustrates nicely the capability of this new method.


title: Four-body structure of neutron-rich hypernucleus $^6_{\Lambda}$H

abstract:
  The structure of heavy hyperhydrogen $^6_{\Lambda}$H is studied within the
framework of a $tnn\Lambda$ four-body cluster model. Interactions among the
constituent subunits are determined so as to reproduce reasonably well the
observed low-energy properties of the $tn, t\Lambda$ and $tnn$ subsystems. As
long as we reproduce the energy and width of $^5$H within the error bar, the
ground state of $^6_{\Lambda}$H is obtained as a resonant state.


title: Universality in the three-dimensional random-field Ising model

abstract:
  We solve a long-standing puzzle in Statistical Mechanics of disordered
systems. By performing a high-statistics simulation of the D=3 random-field
Ising model at zero temperature for different shapes of the random-field
distribution, we show that the model is ruled by a single universality class.
We compute the complete set of critical exponents for this class, including the
correction-to-scaling exponent, and we show, to high numerical accuracy, that
scaling is described by two independent exponents. Discrepancies with previous
works are explained in terms of strong scaling corrections.


title:
Quantum Teleportation of Dynamics and Effective Interactions Between
  Remote Systems

abstract:
  Most protocols for Quantum Information Processing consist of a series of
quantum gates, which are applied sequentially. In contrast, interactions, for
example between matter and fields, as well as measurements such as homodyne
detection of light, are typically continuous in time. We show how the ability
to perform quantum operations continuously and deterministically can be
leveraged for inducing non-local dynamics between two separate parties. We
introduce a scheme for the engineering of an interaction between two remote
systems and present a protocol which induces a dynamics in one of the parties,
which is controlled by the other one. Both schemes apply to continuous variable
systems, run continuously in time and are based on real-time feedback.


title:
Further investigation of the relativistic symmetry by similarity
  renormalization group

abstract:
  Following a recent rapid communications[Phys.Rev.C85,021302(R) (2012)], we
present more details on the investigation of the relativistic symmetry by use
of the similarity renormalization group. By comparing the contributions of the
different components in the diagonal Dirac Hamiltonian to the pseudospin
splitting, we have found that two components of the dynamical term make similar
influence on the pseudospin symmetry. The same case also appears in the
spin-orbit interactions. Further, we have checked the influences of every term
on the pseudospin splitting and their correlations with the potential
parameters for all the available pseudospin partners. The result shows that the
spin-orbit interactions always play a role in favor of the pseudospin symmetry,
and whether the pseudospin symmetry is improved or destroyed by the dynamical
term relating the shape of the potential as well as the quantum numbers of the
state. The cause why the pseudospin symmetry becomes better for the levels
closer to the continuum is disclosed.


title:
First and High Order Sliding Mode-Multimodel Stabilizing Control
  Synthesis using Single and Several Sliding Surfaces for Nonlinear Systems:
  Simulation on an Autonomous Underwater Vehicles (AUV)

abstract:
  This paper provides new analytic tools for a rigorous control formulation and
stability analysis of sliding mode-multimodel controller (SM-MMC). In this way
to minimise the chattering effect we will adopt as a starting point the
multimodel approach to change the commutation of the sliding mode control (SMC)
into fusion using a first order then a high order sliding mode control with
single sliding surface and, then, with several sliding surfaces. For that the
stability conditions invoke the existence of two Lyapunov-type functions, the
first associated to the passage to the sliding set in finite time, and the
second with convergence to the desired state. The approaches presented in this
work are simulated on the immersion control of a submarine mobile which
presents a problem for the actuators because of the high level of system non
linearity and because of the external disturbances. Simulation results show
that this control strategy can attain excellent performances with no chattering
problem and low control level.


title:
Charge Asymmetry of Weak Boson Production at the LHC and the Charm
  Content of the Proton

abstract:
  We investigate the production of the weak bosons $W^+$, $W^-$ and $Z$ at the
LHC as a function of their rapidity, reconstructed {\it experimentally} from
their leptonic decay. We show that the measurements provide a powerful tool for
constraining the parton distribution functions, as was already the case for the
lower energy $p\bar{p}$ collider data. We study the charge asymmetry
determining the $u$ and $d$ distribution functions using the reconstructed
$W^+$, $W^-$ rapidities. We also show how the ratio of the $W$ and $Z$ boson
rapidity distributions directly probes the charm quark distribution function of
the proton.


title:
Symmetric quiver Hecke algebras and R-matrices of quantum affine
  algebras

abstract:
  Let $J$ be a set of pairs consisting of good modules over an affine quantum
algebra and invertible elements. The distribution of poles of the normalized
R-matrices yields Khovanov-Lauda-Rouquier algebras $R^J$. We define a functor
$F$ from the category $S_J$ of finite-dimensional graded $R^J$-modules to the
category of finite-dimensional integrable $U_q(g)$-modules. The functor $F$
sends convolution products of $R^J$-modules to tensor products of
$U_q(g)$-modules. It is exact if $R^J$ is of finite type A,D,E.
  When $J$ is the vector representation of $A^{(1)}_{n-1}$, we recover the
affine Schur-Weyl duality. Focusing on this case, we obtain an abelian rigid
graded tensor category $T_J$ by localizing the category $S_J$. The functor $F$
factors through $T_J$. Moreover, the Grothendieck ring of the category $C_J$,
the image of $F$, is isomorphic to the Grothendieck ring of $T_J$ at $q=1$.


title:
The positron density in the intergalactic medium and the galactic 511
  keV line

abstract:
  The 511 keV electron-positron annihilation line, most recently characterized
by the INTEGRAL/SPI experiment, is highly concentrated towards the Galactic
centre. Its origin remains unknown despite decades of scrutiny. We propose a
novel scenario in which known extragalactic positron sources such as radio jets
of active galactic nuclei (AGN) fill the intergalactic medium with MeV e+e-
pairs, which are then accreted into the Milky Way. We show that interpreting
the diffuse cosmic radio background (CRB) as arising from radio sources with
characteristics similar to the observed cores and radio lobes in powerful AGN
jets suggests that the intergalactic positron-to-electron ratio could be as
high as 10^{-5}, although this can be decreased if the CRB is not all produced
by pairs and if not all positrons escape to the intergalactic medium. Assuming
an accretion rate of one solar mass per year of matter into the Milky Way, a
positron-to-electron ratio of only 10^{-7} is already enough to account for
much of the 511 keV emission of the Galaxy. A simple spherical accretion model
predicts an emission profile highly peaked in the central bulge, consistent
with INTEGRAL observations. However, a realistic model of accretion with
angular momentum would likely imply a more extended emission over the disk,
with uncertainties depending on the magnetic field structure and turbulence in
the galactic halo.


title: Wave Function of the Roper from Lattice QCD

abstract:
  We apply the eigenvectors from a variational analysis in lattice QCD to
successfully extract the wave function of the Roper state, and a higher mass
P_11 state of the nucleon. We use the 2+1 flavour 32^3x64 PACS-CS
configurations at a near physical pion mass of 156 MeV. We find that both
states exhibit a structure consistent with a constituent quark model. The Roper
d-quark wave function contains a single node consistent with a 2S state, and
the third state wave function contains two, consistent with a 3S state. A
detailed comparison with constituent quark model wave functions is carried out,
obtained from a Coulomb plus ramp potential. These results validate the
approach of accessing these states by constructing a variational basis composed
of different levels of fermion source and sink smearing. Furthermore,
significant finite volume effects are apparent for these excited states which
mix with multi-particle states, driving their masses away from physical values
and enabling the extraction of resonance parameters from lattice QCD
simulations.


title: Motivic equivalence of algebraic groups

abstract:
  Two semisimple algebraic groups of the same type are said to be motivic
equivalent if the motives of the associated projective homogeneous varieties of
the same type are isomorphic. We give general criteria of motivic equivalence
in terms of the so-called higher Tits p-indices of algebraic groups. These
results allow to give a complete classification of absolutely simple classical
groups up to motivic equivalence in terms of the underlying algebraic
structures. Among other applications of this classification, we deduce that
there is a bijection between the stable birational equivalence classes of
Severi-Brauer varieties of fixed dimension and the motivic equivalence classes
of projective linear groups of the same rank.


title:
What determines the density structure of molecular clouds ? A case study
  of Orion B with Herschel

abstract:
  A key parameter to the description of all star formation processes is the
density structure of the gas. In this letter, we make use of probability
distribution functions (PDFs) of Herschel column density maps of Orion B,
Aquila, and Polaris, obtained with the Herschel Gould Belt survey (HGBS). We
aim to understand which physical processes influence the PDF shape, and with
which signatures. The PDFs of Orion B (Aquila) show a lognormal distribution
for low column densities until Av 3 (6), and a power-law tail for high column
densities, consistent with a rho r^-2 profile for the equivalent spherical
density distribution. The PDF of Orion B is broadened by external compression
due to the nearby OB stellar aggregates. The PDF of a quiescent subregion of
the non-star-forming Polaris cloud is nearly lognormal, indicating that
supersonic turbulence governs the density distribution. But we also observe a
deviation from the lognormal shape at Av>1 for a subregion in Polaris that
includes a prominent filament. We conclude that (i) the point where the PDF
deviates from the lognormal form does not trace a universal Av-threshold for
star formation, (ii) statistical density fluctuations, intermittency and
magnetic fields can cause excess from the lognormal PDF at an early cloud
formation stage, (iii) core formation and/or global collapse of filaments and a
non-isothermal gas distribution lead to a power-law tail, and (iv) external
compression broadens the column density PDF, consistent with numerical
simulations.


title:
Walsh spaces containing smooth functions and quasi-Monte Carlo rules of
  arbitrary high order

abstract:
  We define a Walsh space which contains all functions whose partial mixed
derivatives up to order $\delta \ge 1$ exist and have finite variation. In
particular, for a suitable choice of parameters, this implies that certain
Sobolev spaces are contained in these Walsh spaces. For this Walsh space we
then show that quasi-Monte Carlo rules based on digital
$(t,\alpha,s)$-sequences achieve the optimal rate of convergence of the
worst-case error for numerical integration. This rate of convergence is also
optimal for the subspace of smooth functions. Explicit constructions of digital
$(t,\alpha,s)$-sequences are given hence providing explicit quasi-Monte Carlo
rules which achieve the optimal rate of convergence of the integration error
for arbitrarily smooth functions.


title:
Explicit constructions of quasi-Monte Carlo rules for the numerical
  integration of high dimensional periodic functions

abstract:
  In this paper we give explicit constructions of point sets in the $s$
dimensional unit cube yielding quasi-Monte Carlo algorithms which achieve the
optimal rate of convergence of the worst-case error for numerically integrating
high dimensional periodic functions. In the classical measure $P_{\alpha}$ of
the worst-case error introduced by Korobov the convergence is of
$\landau(N^{-\min(\alpha,d)} (\log N)^{s\alpha-2})$ for every even integer
$\alpha \ge 1$, where $d$ is a parameter of the construction which can be
chosen arbitrarily large and $N$ is the number of quadrature points. This
convergence rate is known to be best possible up to some $\log N$ factors. We
prove the result for the deterministic and also a randomized setting. The
construction is based on a suitable extension of digital $(t,m,s)$-nets over
the finite field $\integer_b$.


title: Orbital resonances around Black holes

abstract:
  We compute the length and timescales associated with resonant orbits in the
Kerr Metric for all orbital and spin parameters. Resonance induced effects are
potentially observable when the Event Horizon telescope resolves the inner
structure of Sgr A*, space-based gravitational wave detectors record
phase-shifts in the waveform during the resonant passage of a neutron star as
it spirals in to the black hole and in the frequencies of quasi periodic
oscillations for accreting black holes. The onset of geodesic chaos for
non-Kerr spacetimes should occur at the resonance locations quantified here.


title:
Holomorphic Deformations of Balanced Calabi-Yau
  $\partial\bar\partial$-Manifolds

abstract:
  Given a compact complex $n$-fold $X$ satisfying the
$\partial\bar\partial$-lemma and supposed to have a trivial canonical bundle
$K_X$ and to admit a balanced (=semi-K\"ahler) Hermitian metric $\omega$, we
introduce the concept of deformations of $X$ that are {\bf co-polarised} by the
balanced class $[\omega^{n-1}]\in H^{n-1,\,n-1}(X,\,\C)\subset
H^{2n-2}(X,\,\C)$ and show that the resulting theory of balanced co-polarised
deformations is a natural extension of the classical theory of K\"ahler
polarised deformations in the context of Calabi-Yau or even holomorphic
symplectic compact complex manifolds. The concept of Weil-Petersson metric
still makes sense in this strictly more general, possibly non-K\"ahler context,
while the Local Torelli Theorem still holds.


title: Limit theorems for reflected Ornstein-Uhlenbeck processes

abstract:
  This paper studies one-dimensional Ornstein-Uhlenbeck processes, with the
distinguishing feature that they are reflected on a single boundary (put at
level 0) or two boundaries (put at levels 0 and d>0). In the literature they
are referred to as reflected OU (ROU) and doubly-reflected OU (DROU)
respectively. For both cases, we explicitly determine the decay rates of the
(transient) probability to reach a given extreme level. The methodology relies
on sample-path large deviations, so that we also identify the associated most
likely paths. For DROU, we also consider the `idleness process' $L_t$ and the
`loss process' $U_t$, which are the minimal nondecreasing processes which make
the OU process remain $\geqslant 0$ and $\leqslant d$, respectively. We derive
central limit theorems for $U_t$ and $L_t$, using techniques from stochastic
integration and the martingale central limit theorem.


title:
Towards radiation pressure acceleration of protons using linearly
  polarized ultrashort petawatt laser pulses

abstract:
  Particle acceleration using ultraintense, ultrashort laser pulses is one of
the most attractive topics in relativistic laser-plasma research. We report
proton/ion acceleration in the intensity range of 5x1019 W/cm2 to 3.3x1020
W/cm2 by irradiating linearly polarized, 30-fs, 1-PW laser pulses on 10- to
100-nm-thick polymer targets. The proton energy scaling with respect to the
intensity and target thickness was examined. The experiments demonstrated, for
the first time with linearly polarized light, a transition from the target
normal sheath acceleration to radiation pressure acceleration and showed a
maximum proton energy of 45 MeV when a 10-nm-thick target was irradiated by a
laser intensity of 3.3x1020 W/cm2. The experimental results were further
supported by two- and three-dimensional particle-in-cell simulations. Based on
the deduced proton energy scaling, proton beams having an energy of ~ 200 MeV
should be feasible at a laser intensity of 1.5x1021 W/cm2.


title:
On complex singularity analysis for some linear partial differential
  equations in $\mathbb{C}^3$

abstract:
  We investigate the existence of local holomorphic solutions $Y$ of linear
partial differential equations in three complex variables whose coefficients
are singular along an analytic variety $\Theta$ in $\mathbb{C}^{2}$. The
coefficients are written as linear combinations of powers of a solution $X$ of
some first order nonlinear partial differential equation following an idea we
have initiated in a previous work \cite{mast}. The solutions $Y$ are shown to
develop singularities along $\Theta$ with estimates of exponential type
depending on the growth's rate of $X$ near the singular variety. We construct
these solutions with the help of series of functions with infinitely many
variables which involve derivatives of all orders of $X$ in one variable.
Convergence and bounds estimates of these series are studied using a majorant
series method which leads to an auxiliary functional equation that contains
differential operators in infinitely many variables. Using a fixed point
argument, we show that these functional equations actually have solutions in
some Banach spaces of formal power series.


title:
Composite pairing and superfluidity in a one-dimensional resonant
  Bose-Fermi mixture

abstract:
  We study the ground-state properties of one-dimensional mixtures of bosonic
and fermionic atoms resonantly coupled to fermionic Feshbach molecules. When
the particle densities of fermionic atoms and Feshbach molecules differ, the
system undergoes various depletion transitions between binary and ternary
mixtures, as a function of the detuning parameter. However, when the particle
densities of fermionic atoms and Feshbach molecules are identical, the
molecular conversion and disassociation processes induce a gap in a sector of
low-energy excitations, and the remaining system can be described by a
two-component Tomonaga-Luttinger liquid. Using a bosonization scheme, we derive
the effective low-energy Hamiltonian for the system, which has a similar form
as that of the two-chain problem of coupled Tomonaga-Luttinger liquids. With
the help of improved perturbative renormalization group analysis of the latter
problem, we determine the ground-state phase diagram and find that it contains
a phase dominated by composite superfluid or pairing correlations between the
open and closed resonant channels.


title:
A high-mobility two-dimensional electron gas at the heteroepitaxial
  spinel/perovskite complex oxide interface of {\gamma}-Al2O3/SrTiO3

abstract:
  The discovery of two-dimensional electron gases (2DEGs) at the
heterointerface between two insulating perovskite-type oxides, such as LaAlO3
and SrTiO3, provides opportunities for a new generation of all-oxide electronic
and photonic devices. However, significant improvement of the interfacial
electron mobility beyond the current value of approximately 1,000 cm2V-1s-1 (at
low temperatures), remains a key challenge for fundamental as well as applied
research of complex oxides. Here, we present a new type of 2DEG created at the
heterointerface between SrTiO3 and a spinel {\gamma}-Al2O3 epitaxial film with
excellent quality and compatible oxygen ions sublattices. This
spinel/perovskite oxide heterointerface exhibits electron mobilities more than
one order of magnitude higher than those of perovskite/perovskite oxide
interfaces, and demonstrates unambiguous two-dimensional conduction character
as revealed by the observation of quantum magnetoresistance oscillations.
Furthermore, we find that the spinel/perovskite 2DEG results from
interface-stabilized oxygen vacancies and is confined within a layer of 0.9 nm
in proximity to the heterointerface. Our findings pave the way for studies of
mesoscopic physics with complex oxides and design of high-mobility all-oxide
electronic devices.


title:
Phase competitions in epitaxial
  Pr$_{0.5}$Ca$_{0.5}$MnO$_3$/La$_{0.5}$Sr$_{0.5}$MnO$_3$ superlattices

abstract:
  We studied the charge-orbital ordering in the superlattice of charge-ordered
insulating Pr$_{0.5}$Ca$_{0.5}$MnO$_3$ and ferromagnetic metallic
La$_{0.5}$Sr$_{0.5}$MnO$_3$ by resonant soft x-ray diffraction. A
temperature-dependent incommensurability is found in the orbital order. In
addition, a large hysteresis is observed that is caused by phase competition
between insulating charge ordered and metallic ferromagnetic states. No
magnetic phase transitions are observed in contrast to bulk, confirming the
unique character of the superlattice. The deviation from the commensurate
orbital order can be directly related to the decrease of ordered-layer
thickness that leads to a decoupling of the orbital-ordered planes along the c
axis.


title:
Existence of equilibrium for multiobjective games in abstract convex
  spaces

abstract:
  In this paper we use the minimax inequalities obtained by S. Park (2011) to
prove the existence of weighted Nash equilibria and Pareto Nash equilibria of a
multiobjective game defined on abstract convex spaces.


title: Minimax theorems for set-valued maps without continuity assumptions

abstract:
  We introduce several classes of set-valued maps with generalized convexity.
We obtain minimax theorems for set-valued maps which satisfy the introduced
properties and are not continuous, by using a fixed point theorem for weakly
naturally quasi-concave set-valued maps defined on a simplex in a topological
vector space.


title: Stochastic Contraction in Riemannian Metrics

abstract:
  Stochastic contraction analysis is a recently developed tool for studying the
global stability properties of nonlinear stochastic systems, based on a
differential analysis of convergence in an appropriate metric. To date,
stochastic contraction results and sharp associated performance bounds have
been established only in the specialized context of state-independent metrics,
which restricts their applicability. This paper extends stochastic contraction
analysis to the case of general time- and state-dependent Riemannian metrics,
in both discrete-time and continuous-time settings, thus extending its
applicability to a significantly wider range of nonlinear stochastic dynamics.


title: Beyond the SM scalar boson searches at the Tevatron

abstract:
  Recent results from the Tevatron are reported on Higgs boson searches in
models beyond the standard model (SM). The models include fermiophobic Higgs
bosons, the extension of the SM to a fourth generation of fermions,
supersymmetric scenarios and heavy Higgs boson cascade decays.


title:
Synthetic Biology in Leishmaniasis: Design,simulation and validation of
  constructed Genetic circuit

abstract:
  Building circuits and studying their behavior in cells is a major goal of
systems and synthetic biology. Synthetic biology enables the precise control of
cellular states for systems studies, the discovery of novel parts, control
strategies, and interactions for the design of robust synthetic systems. To the
best of our knowledge,there are no literature reports for the synthetic circuit
construction for protozoan parasites. This paper describes the construction of
genetic circuit for the targeted enzyme inositol phosphorylceramide synthase
belonging to the protozoan parasite Leishmania. To explore the dynamic nature
of the circuit designed, simulation was done followed by circuit validation by
qualitative and quantitative approaches. The genetic circuit designed for
inositol phosphorylceramide synthase shows responsiveness, oscillatory and
bistable behavior, together with intrinsic robustness.


title: Grand Unification in High-scale Supersymmetry

abstract:
  A constraint on masses of superheavy gauge and Higgs multiplets at the grand
unification (GUT) scale is obtained from the gauge coupling unification in the
case of high-scale supersymmetry. We found that all of the particles may lie
around a scale of 10^16 GeV so that the threshold corrections to the gauge
coupling constants at the GUT scale are smaller than those in the case of the
low-energy supersymmetry. In addition, the GUT scale tends to be slightly lower
when the gauginos are heavier and, thus, the proton decay rate via the X-boson
exchange process is expected to be enhanced.


title:
First-principles investigation of half-metallic ferromagnetism of
  half-Heusler compounds XYZ

abstract:
  We investigate the electronic structure and magnetism of half-Heusler
compounds XYZ (X, Y=V, Cr, Mn, Fe, Co and Ni; Z=Al, Ga, In, Si, Ge, Sn, P, As,
and Sb) using the ab initio density functional theory calculations. Nine
half-metals with half-Heusler structure have been predicted with the
half-metallic gap of 0.07-0.67 eV. The calculations show that the formation
energies for these nine half-Heusler compounds range from -1.32 to -0.12
eV/f.u., and for CoCrSi, CoCrGe, CoFeGe, CoMnSi, CoMnGe, FeMnGe and FeMnAs, the
total energy differences between the half-Heusler structure and the
corresponding ground-state structure are small (0.07-0.76 eV/f.u.), thus it is
expected that they would be realized in the form of thin films under metastable
conditions for spintronic applications. The stability of the half-metallicity
of CoCrGe and FeMnAs to the lattice distortion is also investigated in detail.


title:
The doubly heavies: (Qbar Q qbar q), (Q Q qbar qbar) tetraquarks and (Q
  Q q) baryons

abstract:
  Recent discoveries by Belle and BESIII of charged exotic quarkonium-like
resonances provide fresh impetus for study of heavy exotic hadrons. In the
limit N_c --> infinity, M_Q --> infinity, the (Qbar Q qbar q') tetraquarks
(TQ-s) are expected to be narrow and slightly below or above the (Qbar q') and
(Q qbar) two-meson threshold. The isoscalar TQ-s manifest themselves by decay
to (Qbar Q) pi pi, and the ~30 MeV heavier charged isotriplet TQ-s by decays
into (Qbar Q) pi. The new data strongly suggest that the real world with N_c=3,
Q=c,b and q,q' = u,d is qualitatively described by the above limit. We discuss
the relevant theoretical estimates and suggest new signatures for TQ-s in light
of the recent discoveries. We also consider "baryon-like" states (Q Q' qbar
qbar'), which if found will be direct evidence not just for near-threshold
binding of two heavy mesons, but for genuine tetraquarks with novel color
networks. We stress the importance of experimental search for doubly-heavy
baryons in this context.


title: On the Scaling Relations of Disk Galaxies

abstract:
  The physical background of scaling laws of disk galaxies is reviewed. The
match between analytically derived and observed scaling laws is briefly
discussed. Accurate modeling of the fraction of baryons that end populating a
disk, and the conversion efficiency of those into stars, remains a challenging
task for numerical simulations. The measurement of rotational velocity tends to
be made with criteria of convenience rather than through rigorous definition.
And yet, the Tully-Fisher and the disk size vs. rotational velocity relations
exhibit surprisingly low scatter. Practical recipes (and costs) to optimize the
quality of template relations are considered.


title:
Centrality dependence of the pseudorapidity density distribution for
  charged particles in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV

abstract:
  We present the first wide-range measurement of the charged-particle
pseudorapidity density distribution, for different centralities (the 0-5%,
5-10%, 10-20%, and 20-30% most central events) in Pb-Pb collisions at
$\sqrt{s_{\rm NN}} = 2.76$ TeV at the LHC. The measurement is performed using
the full coverage of the ALICE detectors, $-5.0 < \eta < 5.5$, and employing a
special analysis technique based on collisions arising from LHC "satellite"
bunches. We present the pseudorapidity density as a function of the number of
participating nucleons as well as an extrapolation to the total number of
produced charged particles ($N_{\rm ch} = 17165 \pm 772$ for the 0-5% most
central collisions). From the measured ${\rm d}N_{\rm ch}/{\rm d}\eta$
distribution we derive the rapidity density distribution, ${\rm d}N_{\rm
ch}/{\rm d}y$, under simple assumptions. The rapidity density distribution is
found to be significantly wider than the predictions of the Landau model. We
assess the validity of longitudinal scaling by comparing to lower energy
results from RHIC. Finally the mechanisms of the underlying particle production
are discussed based on a comparison with various theoretical models.


title:
Investigation of the spectral lag - energy relation of GRBs registered
  by INTEGRAL

abstract:
  We investigated the dependence of spectral lag on energy band based on 28
bright GRBs detected by the SPI and IBIS/ISGRI instruments on the INTEGRAL
observatory. It is found that for simple structured bursts or well separated
pulses of multi-pulse bursts the spectral lag can be approximated by the
relation t=Alog(E), where A is a positive parameter, which correlates with
pulse duration. We have not found any negative lag in simple structured bursts
or in well separated pulses. While investigating the time profile of the whole
burst negative lag may appear due to different spectral parameters of the
pulses.


title: Influence of surface stressing on stellar coronae and winds

abstract:
  The large-scale field of the Sun is well represented by its lowest energy (or
potential) state. Recent observations, by comparison, reveal that many
solar-type stars show large-scale surface magnetic fields that are highly
non-potential - that is, they have been stressed above their lowest-energy
state. This non-potential component of the surface field is neglected by
current stellar wind models. The aim of this paper is to determine its effect
on the coronal structure and wind. We use Zeeman-Doppler surface magnetograms
of two stars - one with an almost potential, one with a non-potential surface
field - to extrapolate a static model of the coronal structure for each star.
We find that the stresses are carried almost exclusively in a band of
uni-directional azimuthal field that is confined to mid-latitudes. Using this
static solution as an initial state for an MHD wind model, we then find that
the final state is determined primarily by the potential component of the
surface magnetic field. The band of azimuthal field must be confined close to
the stellar surface as it is not compatible with a steady-state wind. By
artificially increasing the stellar rotation rate we demonstrate that the
observed azimuthal fields can not be produced by the action of the wind but
must be due to processes at or below the stellar surface. We conclude that the
background winds of solar-like stars are largely unaffected by these
highly-stressed surface fields. Nonetheless, the increased flare activity and
associated coronal mass ejections that may be expected to accompany such
highly-stressed fields may have a significant impact on any surrounding
planets.


title:
Extremal effective divisors on the moduli space of n-pointed genus one
  curves

abstract:
  For every $n\geq 3$, we exhibit infinitely many extremal effective divisors
on the moduli space of genus one curves with $n$ marked points.


title: Bijective counting of humps and peaks in $(k,a)$-paths

abstract:
  Recently, Mansour and Shattuck related the total number of humps in all of
the $(k, a)$-paths of order $n$ to the number of super $(k, a)$-paths, which
generalized previous results concerning the cases when $k = 1$ and $a = 1$ or
$a = \infty$. They also derived a relation on the total number of peaks in all
of the $(k, a)$-paths of order $n$ and the number of super $(k, a)$-paths, and
asked for bijective proofs. In this paper, we will give bijective proofs of
these two relations.


title: An A-infinity operad in spineless cacti

abstract:
  The d.g. operad C of cellular chains on the operad of spineless cacti is
isomorphic to the Gerstenhaber-Voronov operad codifying the cup product and
brace operations on the Hochschild cochains of an associative algebra, and to
the suboperad F_2X of the surjection operad. Its homology is the Gerstenhaber
operad G. We construct an operad map psi from A-infinity to C such that
psi(m_2) is commutative and the homology of psi is the canonical map A \to Com
\to G. This formalises the idea that, since the cup product is commutative in
homology, its symmetrisation is a homotopy associative operation. Our explicit
A-infinty structure does not vanish on non-trivial shuffles in higher degrees,
so does not give a map from Com-infinity to C. If such a map could be written
down explicitly, it would immediately lead to a G-infinity structure on C and
on Hochschild cochains, that is, to a direct proof of the Deligne conjecture.


title:
An Information-Theoretic Test for Dependence with an Application to the
  Temporal Structure of Stock Returns

abstract:
  Information theory provides ideas for conceptualising information and
measuring relationships between objects. It has found wide application in the
sciences, but economics and finance have made surprisingly little use of it. We
show that time series data can usefully be studied as information -- by noting
the relationship between statistical redundancy and dependence, we are able to
use the results of information theory to construct a test for joint dependence
of random variables. The test is in the same spirit of those developed by
Ryabko and Astola (2005, 2006b,a), but differs from these in that we add extra
randomness to the original stochatic process. It uses data compression to
estimate the entropy rate of a stochastic process, which allows it to measure
dependence among sets of random variables, as opposed to the existing
econometric literature that uses entropy and finds itself restricted to
pairwise tests of dependence. We show how serial dependence may be detected in
S&P500 and PSI20 stock returns over different sample periods and frequencies.
We apply the test to synthetic data to judge its ability to recover known
temporal dependence structures.


title: Yet more on the circumbinary disk of SS 433

abstract:
  The H and He emission lines of the microquasar SS 433 contain features that
look very like emission from a circumbinary ring. Phenomenological models have
been successful but contain certain ad hoc features. In this note the lines are
treated as recombination lines from a highly ionized environment and
differences between H and He, previously unexplained, are understood in terms
of the different ionization potentials. It now seems inconceivable that these
spectral features have origin other than in a circumbinary ring orbiting at
approximately 250 km/s - in which case the system mass is approximately 40
solar masses.


title: Linear Fractional Network Coding and Representable Discrete Polymatroids

abstract:
  A linear Fractional Network Coding (FNC) solution over $\mathbb{F}_q$ is a
linear network coding solution over $\mathbb{F}_q$ in which the message
dimensions need not necessarily be the same and need not be the same as the
edge vector dimension. Scalar linear network coding, vector linear network
coding are special cases of linear FNC. In this paper, we establish the
connection between the existence of a linear FNC solution for a network over
$\mathbb{F}_q$ and the representability over $\mathbb{F}_q$ of discrete
polymatroids, which are the multi-set analogue of matroids. All previously
known results on the connection between the scalar and vector linear
solvability of networks and representations of matroids and discrete
polymatroids follow as special cases. An algorithm is provided to construct
networks which admit FNC solution over $\mathbb{F}_q,$ from discrete
polymatroids representable over $\mathbb{F}_q.$ Example networks constructed
from discrete polymatroids using the algorithm are provided, which do not admit
any scalar and vector solution, and for which FNC solutions with the message
dimensions being different provide a larger throughput than FNC solutions with
the message dimensions being equal.


title:
Robustness of Interdependent Networks: The case of communication
  networks and the power grid

abstract:
  In this paper, we study the robustness of interdependent networks, in which
the state of one network depends on the state of the other network and vice
versa. In particular, we focus on the interdependency between the power grid
and communication networks, where the grid depends on communications for its
control, and the communication network depends on the grid for power. A
real-world example is the Italian blackout of 2003, when a small failure in the
power grid cascaded between the two networks and led to a massive blackout. In
this paper, we study the minimum number of node failures needed to cause total
blackout (i.e., all nodes in both networks to fail). In the case of
unidirectional interdependency between the networks we show that the problem is
NP-hard, and develop heuristics to find a near-optimal solution. On the other
hand, we show that in the case of bidirectional interdependency this problem
can be solved in polynomial time. We believe that this new interdependency
model gives rise to important, yet unexplored, robust network design problems
for interdependent networked infrastructures.


title: The Smartphone Brain Scanner: A Mobile Real-time Neuroimaging System

abstract:
  Combining low cost wireless EEG sensors with smartphones offers novel
opportunities for mobile brain imaging in an everyday context. We present a
framework for building multi-platform, portable EEG applications with real-time
3D source reconstruction. The system - Smartphone Brain Scanner - combines an
off-the-shelf neuroheadset or EEG cap with a smartphone or tablet, and as such
represents the first fully mobile system for real-time 3D EEG imaging. We
discuss the benefits and challenges of a fully portable system, including
technical limitations as well as real-time reconstruction of 3D images of brain
activity. We present examples of the brain activity captured in a simple
experiment involving imagined finger tapping, showing that the acquired signal
in a relevant brain region is similar to that obtained with standard EEG lab
equipment. Although the quality of the signal in a mobile solution using a
off-the-shelf consumer neuroheadset is lower compared to that obtained using
high density standard EEG equipment, we propose that mobile application
development may offset the disadvantages and provide completely new
opportunities for neuroimaging in natural settings.


title:
Probing non-Abelian anyonic statistics with cold atoms in an optical
  lattice

abstract:
  We propose a scheme to probe the non-Abelian statistics of the collective
anyonic excitation in Kitaev's honeycomb model with cold atoms in an optical
lattice. The generation of the anyonic excitation can be realized by simple
rotating operation acting on an effective spin-1/2 system, which is encoded in
the atomic hyperfine energy levels. The non-Abelian nature of the anyonic
excitation is manifested by the braiding of four vortices, which leads to
different operations on the subspace of degenerate ground states, and thus
results in different final states. Here, by introducing an ancilla atom, the
effective control over the lattice atoms can be realized and the final
different states can also be imprinted on the ancilla and further distinguished
by measurement.


title: Detecting transition radiation from a magnetic moment

abstract:
  Electromagnetic radiation can be emitted not only by particle charges but
also by magnetic moments and higher electric and magnetic multipoles. However
experimental proofs of this fundamental fact are extremely scarce. In
particular, the magnetic moment contribution has never been observed in any
form of polarization radiation. Here, we propose to detect it using vortex
electrons carrying large orbital angular momentum (OAM) \ell. The relative
contribution of the OAM-induced magnetic moment, \ell \hbar \omega/E_e, becomes
much larger than the spin-induced contribution \hbar \omega/E_e, and it can be
observed experimentally. As a particular example, we consider transition
radiation from vortex electrons obliquely incident on an interface between a
vacuum and a dispersive medium, in which the magnetic moment contribution
manifests itself via a left-right angular asymmetry. For electrons with E_e =
300 keV and \ell = 100-1000, we predict an asymmetry of the order of 0.1%-1%,
which could be measured with existing technology. Thus, vortex electrons emerge
as a new tool in the physics of electromagnetic radiation.

categories: physics.optics hep-ph physics.acc-ph quant-ph


title: On semi-barrelled spaces

abstract:
  The aim of this paper is to clarify the properties of semi-barrelled spaces
(also called countably quasi-barrelled spaces in the literature). These spaces
were studied by several authors, in particular in the classical book of N.
Bourbaki "Espaces vectoriels topologiques". However, six incorrect statements
can be found in this reference. In particular: a Hausdorff and quasi-complete
semi-barrelled space is complete, a semi-barrelled, semi-reflexive space is
complete, a locally convex hull of semi-barrelled semi-reflexive spaces is
semi-reflexive, a locally convex hull of semi-barrelled reflexive spaces is
reflexive. We show through counterexamples that these statements are false. To
conclude, we show how these false claims can be corrected and we collect some
properties of semi-barrelled spaces.


title: Water Transport through Carbon Nanotubes with the Radial Breathing Mode

abstract:
  Molecular dynamics simulations are performed to investigate the water
permeation across the single-walled carbon nanotube (SWCNT) with the radial
breathing mode (RBM) vibration. It is found that the RBM can play a significant
role in breaking hydrogen bonds of the water chain, accordingly increasing the
net flux dramatically, and reducing drastically the average number of water
molecules inside the tube with the frequency ranging from 5000 to 11000 GHz,
while far away from this frequency region the transport properties of water
molecules are almost unaffected by the RBM. This phenomenon can be understood
as the resonant response of the water molecule chain to the RBM. Our findings
are expected to be helpful for the design of high-flux nanochannels and the
understanding of biological activities especially the water channelling.


title:
Two Dimensional Incommensurate and Three Dimensional Commensurate
  Magnetic Order and Fluctuations in $La_{2-x}Ba_{x}CuO_{4}$

abstract:
  We present neutron scattering measurements on single crystals of lightly
doped $La_{2-x}Ba_{x}CuO_{4}$, with $0 \leq x \leq? 0.035$. These reveal the
evolution of the magnetism in this prototypical doped Mott insulator from a
three dimensional (3D) commensurate (C) antiferromagnetic ground state, which
orders at a relatively high TN, to a two dimensional (2D) incommensurate (IC)
ground state with finite ranged static correlations, which appear below a
relatively low effective TN. At low temperatures, the 2D IC magnetism co-exists
with the 3D C magnetism for doping concentrations as low as ? 0.0125. We find
no signal of a 3D C magnetic ground state by x $\sim$? 0.025, consistent with
the upper limit of x $\sim$? 0.02 observed in the sister family of doped Mott
insulators, $La_{2-x}Sr_{x}CuO_{4}$. The 2D IC ground states observed for
$0.0125 \leq x \leq 0.035$ are diagonal, and are rotated by 45 degrees within
the orthorhombic basal plane compared with those previously reported for
samples with superconducting ground states: $La_{2-x}Ba_{x}CuO_{4}$, with $0.05
\leq? x \leq? 0.095. We construct a phase diagram based solely on magnetic
order parameter measurements, which displays much of the complexity of standard
high temperature superconductivity phase diagrams discussed in the literature.
Analysis of high energy-resolution inelastic neutron scattering at moderately
low temperatures shows a progressive depletion of the very low energy dynamic
magnetic susceptibility as x increases from 0.0125 to 0.035. This low energy,
dynamic susceptibility falls off? with increasing temperature on a scale much
higher than the effective 2D IC TN appropriate to these materials. Appreciable
dynamic 2D IC magnetic fluctuations inhabit much of the "pseudogap" regime of
the phase diagram.


title: Multifield Inflation after Planck: The Case for Nonminimal Couplings

abstract:
  Multifield models of inflation with nonminimal couplings are in excellent
agreement with the recent results from {\it Planck}. Across a broad range of
couplings and initial conditions, such models evolve along an effectively
single-field attractor solution and predict values of the primordial spectral
index and its running, the tensor-to-scalar ratio, and non-Gaussianities
squarely in the observationally most-favored region. Such models also can
amplify isocurvature perturbations, which could account for the low power
recently observed in the CMB power spectrum at low multipoles. Future
measurements of primordial isocurvature perturbations and the tensor-to-scalar
ratio may serve to distinguish between the currently viable possibilities.


title: Producing GHZ state of nitrogen-vacancy centers in cavity QED

abstract:
  We propose a scheme to generate GHZ state of nitrogen-vacancy centers coupled
to a whispering-gallery mode cavity. The implemented evolution is independent
on the cavity field state with the assistant of a strong classical field, and
thus not sensitive to the thermal state of the cavity. Meanwhile, it is fast
compare to the convectional dispersive interaction induced operation in a
cavity-assisted system. The scheme is readily scalable to multiqubit scenario.


title: Spin interactions in mesons in strong magnetic field

abstract:
  Spin interactions in relativistic quark-antiquark system in magnetic field is
considered in the framework of the relativistic Hamiltonian, derived from the
QCD path integral. The formalism allows to separate spin-dependent terms from
the basic spin-independent interaction, contained in the Wilson loop, and
producing confining and gluon exchange interaction. As a result one obtains
relativistic spin-spin interaction $V_{ss}$, generalizing its nonrelativistic
analog. It is shown, that in large magnetic field $eB, V_{ss}$ modifies and
produces hyperfine shifts which grow linearly with $eB$ and preclude the use of
perturbation theory. We also show, that tensor forces for $eB \neq 0$ are
active in all meson states, but do not grow with $eB$


title: Stability of the holographic description of the Universe

abstract:
  We investigate the stability of the holographic description of the universe.
By treating the perturbation globally, we discover that this description is
stable, which is support for the holographic description of the universe.


title: Deficiency Symmetries of Surgeries in $S^3$

abstract:
  We examine certain symmetries in the deficiencies of a rational surgery on a
knot in $S^3$ by comparing the $\text{Spin}^c$-structures on the rational
surgery with those on a related integral surgery. We then provide an
application of these symmetries in the form of a theorem that obstructs Dehn
surgeries in $S^3$. This last part unifies and generalises theorems by Greene
underlying his work on the cabling conjecture, the lens space realisation
problem, and the unknotting number of alternating 3-braids.


title: An Iterated Az\'{e}ma-Yor Type Embedding for Finitely Many Marginals

abstract:
  We solve the $n$-marginal Skorokhod embedding problem for a continuous local
martingale and a sequence of probability measures $\mu_1,...,\mu_n$ which are
in convex order and satisfy an additional technical assumption. Our
construction is explicit and is a multiple marginal generalisation of the Azema
and Yor (1979) solution. In particular, we recover the stopping boundaries
obtained by Brown et al. (2001) and Madan and Yor (2002). Our technical
assumption is necessary for the explicit embedding, as demonstrated with a
counterexample. We discuss extensions to the general case giving details when
$n=3$.
  In our analysis we compute the law of the maximum at each of the n stopping
times. This is used in Henry-Labordere et al. (2013) to show that the
construction maximises the distribution of the maximum among all solutions to
the $n$-marginal Skorokhod embedding problem. The result has direct
implications for robust pricing and hedging of Lookback options.


title:
A R{\o}mer time-delay determination of the gravitational-wave
  propagation speed

abstract:
  In 1676 Olaus R{\o}mer presented the first observational evidence for a
finite light velocity $\cem$. He formed his estimate by attributing the
periodically varying discrepancy between the observed and expected occultation
times of the Galilean satellite Io by its planetary host Jupiter to the time it
takes light to cross Earth's orbital diameter. Given a stable celestial clock
that can be observed in gravitational waves the same principle can be used to
measure the propagation speed $\cgw$ of gravitational radiation. Space-based
"LISA"-like detectors will, and terrestrial LIGO-like detectors may, observe
such clocks and thus be capable of directly measuring the propagation velocity
of gravitational waves. In the case of space-based detectors the clocks will be
galactic close white dwarf binary systems; in the case of terrestrial
detectors, the most likely candidate clock is the periodic gravitational
radiation from a rapidly rotating non-axisymmetric neutron star. Here we
evaluate the accuracy that may be expected of such a R{\o}mer-type measurement
of $\cgw$ by foreseeable future space-based and terrestrial detectors. For
space-based, LISA-like detectors, periodic sources are plentiful: by the end of
the first year of scientific operations a LISA-like detector will have measured
$\cgw$ to better than a part in a thousand. Periodic sources may not be
accessible in terrestrial detectors available to us in the foreseeable future;
however, if such a source is detected then with a year of observations we could
measure $\cgw$ to better than a part in a million.


title: High precision astrometry with a diffractive pupil telescope

abstract:
  Astrometric detection and mass determination of Earth-mass exoplanets
requires sub-microarcsec accuracy, which is theoretically possible with an
imaging space telescope using field stars as an astrometric reference. The
measurement must however overcome astrometric distortions which are much larger
than the photon noise limit. To address this issue, we propose to generate
faint stellar diffraction spikes using a two-dimensional grid of regularly
spaced small dark spots added to the surface of the primary mirror (PM).
Accurate astrometric motion of the host star is obtained by comparing the
position of the spikes to the background field stars. The spikes do not
contribute to scattered light in the central part of the field and therefore
allow unperturbed coronagraphic observation of the star's immediate
surrounding. Because the diffraction spikes are created on the PM and imaged on
the same focal plane detector as the background stars, astrometric distortions
affect equally the diffraction spikes and the background stars, and are
therefore calibrated. We describe the technique, detail how the data collected
by the wide-field camera are used to derive astrometric motion, and identify
the main sources of astrometric error using numerical simulations and
analytical derivations. We find that the 1.4 m diameter telescope, 0.3 sq.deg
field we adopt as a baseline design achieves 0.2 microarcsec single measurement
astrometric accuracy. The diffractive pupil concept thus enables
sub-microarcsec astrometry without relying on the accurate pointing, external
metrology or high stability hardware required with previously proposed high
precision astrometry concepts.


title: On the Structure of Boolean Functions with Small Spectral Norm

abstract:
  In this paper we prove results regarding Boolean functions with small
spectral norm (the spectral norm of f is
$\|\hat{f}\|_1=\sum_{\alpha}|\hat{f}(\alpha)|$). Specifically, we prove the
following results for functions $f:\{0,1\}^n \to \{0,1\}$ with
$\|\hat{f}\|_1=A$.
  1. There is a subspace $V$ of co-dimension at most $A^2$ such that $f|_V$ is
constant.
  2. f can be computed by a parity decision tree of size $2^{A^2}n^{2A}$. (a
parity decision tree is a decision tree whose nodes are labeled with arbitrary
linear functions.)
  3. If in addition f has at most s nonzero Fourier coefficients, then f can be
computed by a parity decision tree of depth $A^2 \log s$.
  4. For every $0<\epsilon$ there is a parity decision tree of depth $O(A^2 +
\log(1/\epsilon))$ and size $2^{O(A^2)} \cdot
\min\{1/\epsilon^2,O(\log(1/\epsilon))^{2A}\}$ that \epsilon-approximates f.
Furthermore, this tree can be learned, with probability $1-\delta$, using
$\poly(n,\exp(A^2),1/\epsilon,\log(1/\delta))$ membership queries.
  All the results above also hold (with a slight change in parameters) to
functions $f:Z_p^n\to \{0,1\}$.


title:
Anomalous radiative transitions between $h_b(nP)$ and $\eta_b(mS)$ and
  hadronic loop effect

abstract:
  In this work, we introduce the hadronic loop contribution to explain the
anomalous radiative transitions between $h_b(nP)$ and $\eta_b(mS)$, which was
recently observed by the Belle Collaboration. Our calculation shows that the
hadronic loop mechanism associated with these known decay mechanisms can
explain why there exist anomalous radiative transitions between $h_b(nP)$ and
$\eta_b(mS)$. This study deepens our understanding of the decay mechanism of
higher bottomonium radiative decays.


title:
Simultaneous Exoplanet Characterization and deep wide-field imaging with
  a diffractive pupil telescope

abstract:
  High-precision astrometry can identify exoplanets and measure their orbits
and masses, while coronagraphic imaging enables detailed characterization of
their physical properties and atmospheric compositions through spectroscopy. In
a previous paper, we showed that a diffractive pupil telescope (DPT) in space
can enable sub-microarcsecond accuracy astrometric measurements from wide-field
images by creating faint but sharp diffraction spikes around the bright target
star. The DPT allows simultaneous astrometric measurement and coronagraphic
imaging, and we discuss and quantify in this paper the scientific benefits of
this combination for exoplanet science investigations: identification of
exoplanets with increased sensitivity and robustness, and ability to measure
planetary masses to high accuracy. We show how using both measurements to
identify planets and measure their masses offers greater sensitivity and
provides more reliable measurements than possible with separate missions, and
therefore results in a large gain in mission efficiency. The combined
measurements reliably identify potentially habitable planets in multiple
systems with a few observations, while astrometry or imaging alone would
require many measurements over a long time baseline. In addition, the combined
measurement allows direct determination of stellar masses to percent-level
accuracy, using planets as test particles. We also show that the DPT maintains
the full sensitivity of the telescope for deep wide-field imaging, and is
therefore compatible with simultaneous scientific observations unrelated to
exoplanets. We conclude that astrometry, coronagraphy, and deep wide-field
imaging can be performed simultaneously on a single telescope without
significant negative impact on the performance of any of the three techniques.


title:
Software Cognitive Information Measure based on Relation Between
  Structures

abstract:
  Cognitive complexity measures quantify human difficulty in understanding the
source code based on cognitive informatics foundation. The discipline derives
cognitive complexity on a basis of fundamental software factors i.e, inputs,
outputs, and internal processing architecture. An approach to integrating
Granular Computing into the new measure called Structured Cognitive Information
Measure or SCIM. The proposed measure unifies and re-organizes complexity
factors analogous to human cognitive process. However, according to the
methodology of software and the scope of the variables, Information Complexity
Number(ICN) of variables is depended on change of variable value and cognitive
complexity is measured in several ways. In this paper, we define the Scope
Information Complexity Number (SICN) and present the cognitive complexity based
on functional decomposition of software, including theoretical validation
through nine Weyuker's properties.


title:
Existence of equilibrium for an abstract economy with private
  information and a countable space of actions

abstract:
  We define the model of an abstract economy with private information and a
countable set of actions. We generalize the H. Yu and Z. Zhang's model (2007),
considering that each agent is characterised by a preference correspondence
instead of having an utility function. We establish two different equilibrium
existence results.


title: The Bishop-Phelps-Bollob\'as moduli of a Banach space

abstract:
  We introduce two Bishop-Phelps-Bollob\'as moduli which measure, for a given
Banach space, what is the best possible Bishop-Phelps-Bollob\'as theorem in
this space. We show that there is a common upper bound for these moduli for all
Banach spaces and we present an example showing that this bound is sharp. We
prove the continuity of these moduli and an inequality with respect to duality.
We calculate the two moduli for Hilbert spaces and also present many examples
for which the moduli have the maximum possible value (among them, there are
$C(K)$ spaces and $L_1(\mu)$ spaces). Finally, we show that if a Banach space
has the maximum possible value of any of the moduli, then it contains almost
isometric copies of the real space $\ell_\infty^{(2)}$ and present an example
showing that this condition is not sufficient.


title:
Shifted convolution of divisor function $d_3$ and Ramanujan $\tau$
  function

abstract:
  We study the shifted convolution sum of the divisor function $d_3$ and the
Ramanujan $\tau$ function.


title: Fully Dynamic $(1+\epsilon)$-Approximate Matchings

abstract:
  We present the first data structures that maintain near optimal maximum
cardinality and maximum weighted matchings on sparse graphs in sublinear time
per update. Our main result is a data structure that maintains a $(1+\epsilon)$
approximation of maximum matching under edge insertions/deletions in worst case
$O(\sqrt{m}\epsilon^{-2})$ time per update. This improves the 3/2 approximation
given in [Neiman,Solomon,STOC 2013] which runs in similar time. The result is
based on two ideas. The first is to re-run a static algorithm after a chosen
number of updates to ensure approximation guarantees. The second is to
judiciously trim the graph to a smaller equivalent one whenever possible.
  We also study extensions of our approach to the weighted setting, and combine
it with known frameworks to obtain arbitrary approximation ratios. For a
constant $\epsilon$ and for graphs with edge weights between 1 and N, we design
an algorithm that maintains an $(1+\epsilon)$-approximate maximum weighted
matching in $O(\sqrt{m} \log N)$ time per update. The only previous result for
maintaining weighted matchings on dynamic graphs has an approximation ratio of
4.9108, and was shown in [Anand,Baswana,Gupta,Sen, FSTTCS 2012, arXiv 2012].


title:
First-Principles Study of the Electronic and Magnetic Properties of
  Defects in Carbon Nanostructures

abstract:
  Understanding the magnetic properties of graphenic nanostructures is
instrumental in future spintronics applications. These magnetic properties are
known to depend crucially on the presence of defects. Here we review our recent
theoretical studies using density functional calculations on two types of
defects in carbon nanostructures: Substitutional doping with transition metals,
and sp$^3$-type defects created by covalent functionalization with organic and
inorganic molecules. We focus on such defects because they can be used to
create and control magnetism in graphene-based materials. Our main results are
summarized as follows: i)Substitutional metal impurities are fully understood
using a model based on the hybridization between the $d$ states of the metal
atom and the defect levels associated with an unreconstructed D$_{3h}$ carbon
vacancy. We identify three different regimes, associated with the occupation of
distinct hybridization levels, which determine the magnetic properties obtained
with this type of doping; ii) A spin moment of 1.0 $\mu_B$ is always induced by
chemical functionalization when a molecule chemisorbs on a graphene layer via a
single C-C (or other weakly polar) covalent bond. The magnetic coupling between
adsorbates shows a key dependence on the sublattice adsorption site. This
effect is similar to that of H adsorption, however, with universal character;
iii) The spin moment of substitutional metal impurities can be controlled using
strain. In particular, we show that although Ni substitutionals are
non-magnetic in flat and unstrained graphene, the magnetism of these defects
can be activated by applying either uniaxial strain or curvature to the
graphene layer. All these results provide key information about formation and
control of defect-induced magnetism in graphene and related materials.


title: Z_c(3900) - what is inside?

abstract:
  The models for the internal structure of the newly found four-quark
charmonium-like resonance $Z_c(3900)$ are discussed: the molecular model as
well as the hadro-charmonium and tetraquark schemes. It is argued that it would
be possible to resolve between these models by combining measurements of the
quantum numbers of the resonance and of its decay rates into yet unseen
channels $\pi \psi'$, $\pi h_c$, $\rho \eta_c$ and into pairs of heavy mesons
$D^* \bar D$ and $D \bar D^*$. The models also predict different related
four-quark states, which can be sought for in the existing and future data.


title: Anomaly mediated supersymmetric models and Higgs data from the LHC

abstract:
  Anomaly mediation models are well motivated supersymmetry breaking scenarios
which appear as alternatives to the mSUGRA paradigm. These models are quite
compelling from the theoretical point of view and it is therefore important to
test if they are also viable models for phenomenology. We perform a study of
these models in the light of all standard flavour, collider and dark matter
constraints, including also the recent Higgs boson measurements for the mass
and signal strengths in the different decay channels. The minimal AMSB scenario
can satisfy in part of its parameter space the dark matter requirement but is
only marginally consistent with the current Higgs boson mass value. The
HyperCharge-AMSB and Mixed Moduli-AMSB scenarios can better describe present
data from dark matter, flavour, low energy physics and are consistent with the
measured mass of the Higgs boson. The inclusion of the preferred signal
strengths for the Higgs boson decay channels shows that for tan(beta) > 5 the
HC-AMSB and MM-AMSB models can be consistent with the present Higgs boson data.
In contrast the minimal AMSB has a narrower allowed range in tan(beta). These
different AMSB scenarios, while consistent with present Higgs boson
measurements, can be further tested by future more precise data in the Higgs
sector.


title:
Covariant action and equations of motion for the eleven dimensional
  multiple M0-brane system

abstract:
  We study the properties of the covariant supersymmetric and kappa-symmetric
action for a system of N nearly coincident M0-branes (mM0 system) in flat
eleven dimensional (11D) superspace and obtain supersymmetric equations for
this dynamical system. Although a single M0-brane is the massless 11D
superparticle, center of energy motion of the mM0 system is characterized by a
nonnegative constant mass M constructed from the matrix fields describing the
relative motion of mM0 constituents. We show that a bosonic solution of the mM0
equations can be supersymmetric iff this effective mass vanishes, M=0, and that
all the supersymmetric bosonic solutions preserve just one half of the 11D
supersymmetry.


title:
An Efficient Bilinear Pairing-Free Certificateless Two-Party
  Authenticated Key Agreement Protocol in the eCK Model

abstract:
  Recent study on certificateless authenticated key agreement focuses on
bilinear pairing-free certificateless authenticated key agreement protocol. Yet
it has got limitations in the aspect of computational amount. So it is
important to reduce the number of the scalar multiplication over elliptic curve
group in bilinear pairing-free protocols. This paper proposed a new bilinear
pairing-free certificateless two-party authenticated key agreement protocol,
providing more efficiency among related work and proof under the random oracle
model.


title: Microwave View on Particle Acceleration in Flares

abstract:
  The thermal-to-nonthermal partition was found to vary greatly from one flare
to another resulting in a broad variety of cases from 'heating without
acceleration' to 'acceleration without heating'. Recent analysis of microwave
data of these differing cases suggests that a similar acceleration mechanism,
forming a power-law nonthermal tail up to a few MeV or even higher, operates in
all the cases. However, the level of this nonthermal spectrum compared to the
original thermal distribution differs significantly from one case to another,
implying a highly different thermal-to-nonthermal energy partition in various
cases. This further requires a specific mechanism capable of extracting the
charged particles from the thermal pool and supplying them to a bulk
acceleration process to operate in flares \textit{in addition} to the bulk
acceleration process itself, which, in contrast, efficiently accelerates the
seed particles, while cannot accelerate the thermal particles. Within this
'microwave' view on the flare energy partition and particle acceleration I
present a few contrasting examples of acceleration regions detected with
microwave data and compare them with the most popular acceleration
mechanisms---in DC fields, in collapsing traps, and stochastic acceleration by
a turbulence spectrum - to identify the key elements needed to conform with
observations. In particular, I point out that the turbulence needed to drive
the particle acceleration is generated in nonpotential magnetic structures,
which results in nonzero helicity of the turbulence. This helicity, in its
turn, produces a nonzero mean DC electric field on top of stochastic turbulent
fields driving the main stochastic acceleration; thus, acceleration by helical
turbulence combines properties of the standard stochastic acceleration with
some features of acceleration in DC electric fields, exactly what is demanded
by observation.


title:
Normal and anti-normal ordered expressions for annihilation and creation
  operators

abstract:
  We give the normal and anti-normal order expressions of the number operator
to the power $k$ by using the commutation relation between the annihilation and
creation operators. We use those expressions to give general formulae for
functions of the number operator in normal and anti-normal order.


title: Precision vs discovery: a simple benchmark

abstract:
  The discovery of the Standard Model Scalar Boson (Brout-Englert-Higgs
particle) opens a new field of research, namely the structure of the scalar
sector. Numerous extensions exist, and imply extra particles, including
additional scalars. Two main alleys are open to investigate such deviations
from the minimal standard model: precision measurements could indicate a
deviation from the usual expectations, or a direct discovery of new scalar
partners (or other particles) would establish an alternative. In this short
note, we concentrate on a very simple model, for which the respective reaches
of the two approaches can be compared. This note also provides a strong
incentive to pursue searches for extra "Standard Model Scalar-like" particles
in the whole available energy spectrum.


title:
Fulde-Ferrell superfluidity in ultracold Fermi gases with Rashba
  spin-orbit coupling

abstract:
  We theoretically investigate the inhomogeneous Fulde-Ferrell (FF)
superfluidity in a three dimensional atomic Fermi gas with Rashba spin-orbit
coupling near a broad Feshbach resonance. We show that within mean-field theory
the FF superfluid state is always more favorable than the standard
Bardeen-Cooper-Schrieffer (BCS) superfluid state when an in-plane Zeeman field
is applied. We present a qualitative finite-temperature phase diagram near
resonance and argue that the predicted FF superfluid is observable with
experimentally attainable temperatures (i.e., $T\sim0.2T_{F}$, where $T_{F}$ is
the characteristic Fermi degenerate temperature).


title:
Improved algorithm for analytical solution of the heat conduction
  problem in doubly periodic 2D composite materials

abstract:
  We consider a boundary value problem in unbounded 2D doubly periodic
composite with circular inclusions having arbitrary constant conductivities. By
introducing complex potentials, the boundary value problem for the Laplace
equation is transformed to a special R-linear BVP for doubly periodic analytic
functions. This problem is solved with use of the method of functional
equations. The R-linear BVP is transformed to a system of functional equations.
A new improved algorithm for solution of the system is proposed. It allows one
not only to compute the average property but to reconstruct the solution
components (temperature and flux) at an arbitrary point of the composite.
Several computational examples are discussed in details demonstrating high
efficiency of the method. Indirect estimate of the algorithm accuracy has been
also provided.


title: Fano resonances and their control in optomechanics

abstract:
  The Fano line profiles, originally discovered in the context of
photoionization, have been found to occur in a large class of systems like
resonators, metamaterials, plasmonics. We demonstrate the existence of such
resonances in cavity optomechanics by identifying the interfering contributions
to the fields generated at antiStokes and Stokes frequencies. Unlike the atomic
systems, the optomechanical systems provide great flexibility as the width of
the resonance is controlled by the coupling field. We further show how the
double cavities coupled by a single optomechanical mirror can lead to the
splitting of the Fano resonance and how the second cavity can be used to tune
the Fano resonances. The Fano resonances are quite sensitive to the decay
parameters associated with cavities and the mechanical mirror. Such resonances
can be studied by both pump probe experiments as well as via the spectrum of
the quantum fluctuations in the output fields.


title: Generalized qubits of the vibrational motion of a trapped ion

abstract:
  We present a method to generate qubits of the vibrational motion of an ion.
The method is developed in the non-rotating wave approximation regime,
therefore we consider regimes where the dynamics has not been studied. Because
the solutions are valid for a more extended range of parameters we call them
generalized qubits.


title: Injectivity radii of hyperbolic integer homology 3-spheres

abstract:
  We construct hyperbolic integer homology 3-spheres where the injectivity
radius is arbitrarily large for nearly all points of the manifold. As a
consequence, there exists a sequence of closed hyperbolic 3-manifolds which
Benjamini-Schramm converge to H^3 whose normalized Ray-Singer analytic torsions
do not converge to the L^2-analytic torsion of H^3. This contrasts with the
work of Abert et. al. who showed that Benjamini-Schramm convergence forces
convergence of normalized betti numbers. Our results shed light on a conjecture
of Bergeron and Venkatesh on the growth of torsion in the homology of
arithmetic hyperbolic 3-manifolds, and we give experimental results which
support this and related conjectures.


title: Berry phase investigation of spin-S ladders

abstract:
  We investigate the properties of antiferromagnetic spin-S ladders with the
help of local Berry phases defined by imposing a twist on one or a few local
bonds. In gapped systems with time reversal symmetry, these Berry phases are
quantized, hence able in principle to characterize different phases. In the
case of a fully frustrated ladder where the total spin on a rung is a conserved
quantity that changes abruptly upon increasing the rung coupling, we show that
two Berry phases are relevant to detect such phase transitions: the rung Berry
phase defined by imposing a twist on one rung coupling, and the twist Berry
phase defined by twisting the boundary conditions along the legs. In the case
of non-frustrated ladders, we have followed the fate of both Berry phases when
interpolating between standard ladders and dimerized spin chains. A careful
investigation of the spin gap and of edge states shows that a change of twist
Berry phase is associated to a quantum phase transition at which the bulk gap
closes, and at which, with appropriate boundary conditions, edge states appear
or disappear, while a change of rung Berry phase is not necessarily associated
to a quantum phase transition. The difference is particularly acute for regular
ladders, in which the twist Berry phase does not change at all upon increasing
the rung coupling from zero to infinity while the rung Berry phase changes 2S
times. By analogy with the fully frustrated ladder, these changes are
interpreted as cross-overs between domains in which the rungs are in different
states of total spin from 0 in the strong rung limit to 2S in the weak rung
limit. This interpretation is further supported by the observation that these
cross-overs turn into real phase transitions as a function of rung coupling if
one rung is strongly ferromagnetic, or equivalently if one rung is replaced by
a spin 2S impurity.


title: Approximating Minimization Diagrams and Generalized Proximity Search

abstract:
  We investigate the classes of functions whose minimization diagrams can be
approximated efficiently in \Re^d. We present a general framework and a
data-structure that can be used to approximate the minimization diagram of such
functions. The resulting data-structure has near linear size and can answer
queries in logarithmic time. Applications include approximating the Voronoi
diagram of (additively or multiplicatively) weighted points. Our technique also
works for more general distance functions, such as metrics induced by convex
bodies, and the nearest furthest-neighbor distance to a set of point sets.
Interestingly, our framework works also for distance functions that do not
comply with the triangle inequality. For many of these functions no near-linear
size approximation was known before.


title: On the space of super maps between smooth supermanifolds

abstract:
  Mapping spaces of supermanifolds are usually thought as exclusively in
functorial terms (i.e. trough the Grothendieck functor of points). In this work
we provide a geometric description of such mapping spaces in terms of
infinite-dimensional super-vector bundles.