title: What is a leader of opinion formation in bounded confidence models?

abstract:
  Taking a decision in democratic social groups is based on the opinion of the
majority or on the consensus. So, the study of opinion dynamics is of great
interest in analyzing social phenomena. Among the different models of opinion
dynamics, bounded confidence models have been studied in different contexts and
shown interesting dynamics [1-3]. In [E. Kurmyshev, H.A. Ju\'arez, and R.A.
Gonz\'alez-Silva, Phys. A 390, 16 (2011)] we proposed a new bounded confidence
model and studied the self-formation of opinion in heterogeneous societies
composed by agents of two psychological types, concord (C-) and partial
antagonism (PA-) agents. In this work we study the influence of "leaders" on
the clustering of opinions. Mixed C/PA-societies along with the pure C- and
PA-society are studied. The influence of the leader's connectivity in the
network, his toughness or tolerance and his opinion on the opinion dynamics is
studied as a function of the initial opinion uncertainty (tolerance) of the
population. Numerical results obtained with leaders at low, high and average
tolerance show complex bifurcation patterns of the group opinion; a decrease or
even the total lost of control of the leader over the society is observed in
different intervals of tolerance of agents in the case of C/PA-societies. We
found that in the C-society a leader showing high opinion tolerance has more
control over the population. In the PA-society a leader changes the bifurcation
pattern of group opinion in a drastic and unexpected way, contrary to the
common sense, and generates stronger polarization in the opposite opinion
groups; the connectivity of the leader is an important factor that usually
improves the adhesion of agents to the leader's opinion. A low tolerance
(authoritarian) leader has greater control over a PA-society than that of a
high tolerance (democratic) one; the opposite result is obtained in the
C-society.


title: Polytropic equilibrium and normal modes in cold atomic traps

abstract:
  The compressibility limit of a cold gas confined in a magneto-optical trap
due to multiple scattering of light is a long-standing problem. This scattering
mechanism induces long-range interactions in the system, which is responsible
for the occurrence of plasma-like phenomena. In the present paper, we
investigate the importance of the long-range character of the mediated
atom-atom interaction in the equilibrium and dynamical features of a
magneto-optical trap. Making use of a hydrodynamical formulation, we derive a
generalized Lane-Emden equation modeling the polytropic equilibirum of a
magneto-optical trap, allowing us to describe the cross-over between the two
limiting cases: temperature dominated and multiple-scattering dominated traps.
The normal collective modes of the system are also computed.


title: Understanding quantum entanglement by thermo field dynamics

abstract:
  We propose a new method to understand quantum entanglement using the thermo
field dynamics (TFD) described by a double Hilbert space. The entanglement
states show a quantum-mechanically complicated behavior. Our new method using
TFD makes it easy to understand the entanglement states, because the states in
the tilde space in TFD play a role of tracer of the initial states. For our new
treatment, we define an extended density matrix on the double Hilbert space.
From this study, we make a general formulation of this extended density matrix
and examine some simple cases using this formulation. Consequently, we have
found that we can distinguish intrinsic quantum entanglement from the thermal
fluctuations included in the definition of the ordinary quantum entanglement at
finite temperatures. Through the above examination, our method using TFD can be
applied not only to equilibrium states but also to non-equilibrium states. This
is shown using some simple finite systems in the present paper.


title: Closed characteristics on compact convex hypersurfaces in $\R^8$

abstract:
  In this paper, we prove there exist at least four geometrically distinct
closed characteristics on every compact convex hypersurface $\Sg$ in $\R^8$.
This gives a confirmed answer in the case $n=4$ to a long standing conjecture
in Hamiltonian analysis since the time of A. M. Liapounov in 1892 (cf. P. 235
of \cite{Eke3}).


title:
On the blow-up criterion and small data global existence for the
  Hall-magnetohydrodynamics

abstract:
  In this paper, we establish an optimal blow-up criterion for classical
solutions to the incompressible resistive Hall-magnetohydrodynamic equations.
We also prove two global-in-time existence results of the classical solutions
for small initial data, the smallness conditions of which are given by the
suitable Sobolev and the Besov norms respectively. Although the Sobolev space
version is already an improvement of the corrresponding result in
\cite{Chae-Degond-Liu}, the optimality in terms of the scaling property is
achieved via the Besov space estimate.
  The special property of the energy estimate in terms of $\dot{B}^s_{2,1}$
norm is essential for this result.
  Contrary to the usual MHD the global well-posedness in the $2\frac12$
dimensional Hall-MHD is wide open.


title:
Joint Space Decomposition-and-Synthesis Theory for K-User MIMO Channels:
  Interference Alignment and DoF Region

abstract:
  This paper studies DoF of interference alignment in K-user MIMO interference
channels.


title: Local rigidity of Schottky maps

abstract:
  We introduce Schottky maps-conformal maps between relative Schottky sets, and
study their local rigidity properties. This continues the investigations of
relative Schottky sets initiated in [S. Merenkov, "Planar relative Schottky
sets and quasisymmetric maps", Proc. London Math. Soc. (3) 104 (2012),
455-485]. Besides being of independent interest, the latter and current works
provide key ingredients in the forthcoming proof of quasisymmetric rigidity of
Sierpi\'nski carpet Julia sets of rational functions.


title: End-to-end interstellar communication system design for power efficiency

abstract:
  Radio communication over interstellar distances is studied, accounting for
noise, dispersion, scattering and motion. Large transmitted powers suggest
maximizing power efficiency (ratio of information rate to average signal power)
as opposed to restricting bandwidth. The fundamental limit to reliable
communication is determined, and is not affected by carrier frequency,
dispersion, scattering, or motion. The available efficiency is limited by noise
alone, and the available information rate is limited by noise and available
average power. A set of five design principles (well within our own
technological capability) can asymptotically approach the fundamental limit; no
other civilization can achieve greater efficiency. Bandwidth can be expanded in
a way that avoids invoking impairment by dispersion or scattering. The
resulting power-efficient signals have characteristics very different from
current SETI targets, with wide bandwidth relative to the information rate and
a sparse distribution of energy in both time and frequency. Information-free
beacons achieving the lowest average power consistent with a given receiver
observation time are studied. They need not have wide bandwidth, but do
distribute energy more sparsely in time as average power is reduced. The
discovery of both beacons and information-bearing signals is analyzed, and most
closely resembles approaches that have been employed in optical SETI. No
processing is needed to account for impairments other than noise. A direct
statistical tradeoff between a larger number of observations and a lower
average power (including due to lower information rate) is established. The
"false alarms" in current searches are characteristic signatures of these
signals. Joint searches for beacons and information-bearing signals require
straightforward modifications to current SETI pattern recognition approaches.

categories: astro-ph.IM cs.IT math.IT physics.pop-ph


title: Machian Classical and Semiclassical Emergent Time

abstract:
  Classical and semiclassical schemes are presented that are timeless at the
primary level and recover time from Mach's `time is to be abstracted from
change' principle at the emergent secondary level. The semiclassical scheme is
a Machian variant of the Semiclassical Approach to the Problem of Time in
Quantum Gravity. The classical scheme is Barbour's, cast here explicitly as the
classical precursor of the Semiclassical Approach. Thus the two schemes have
been married up, as equally-Machian and necessarily distinct, since quantum
change is part of whence the latter's timestandard is abstracted.


title:
Aplicacion de las Redes Neuronales al Reconocimiento de Sistemas
  Operativos

abstract:
  In this work we present a family of neural networks, the multi-layer
perceptron networks, and some of the algorithms used to train those networks
(we hope that with enough details and precision as to satisfy a mathematical
public). Then we study how to use those networks to solve a problem that arises
from the field of information security: the remote identification of Operating
Systems (part of the information gathering steps of the penetration testing
methodology). This is the contribution of this work: it is an application of
classic Artificial Intelligence techniques to a classification problem that
gave better results than the classic techniques used to solve it.


title:
From semi-orthogonal decompositions to polarized intermediate Jacobians
  via Jacobians of noncommutative motives

abstract:
  Let X and Y be complex smooth projective varieties, and D^b(X) and D^b(Y) the
associated bounded derived categories of coherent sheaves. Assume the existence
of a triangulated category T which is admissible both in D^b(X) as in D^b(Y).
Making use of the recent theory of Jacobians of noncommutative motives, we
construct out of this categorical data a morphism t of abelian varieties (up to
isogeny) from the product of the intermediate algebraic Jacobians of X to the
product of the intermediate algebraic Jacobians of Y. When the orthogonal
complement of T in D^b(X) has a trivial Jacobian (e.g. when it is generated by
exceptional objects), the morphism t is split injective. When this also holds
for the orthogonal complement of T in D^b(Y), t becomes an isomorphism.
Furthermore, in the case where X and Y have a single intermediate algebraic
Jacobian carrying a principal polarization, we prove that the morphism t
preserves this extra structure. As an application, we obtain categorical
Torelli theorems, an incompatibility between two conjectures of Kuznetsov (one
concerning Fourier-Mukai functors and another one concerning Fano threefolds),
a new proof of a classical theorem of Clemens-Griffiths on blow-ups of
threefolds, and several new results on quadric fibrations and intersection of
quadrics.


title:
Bulk viscosity and conformal symmetry breaking in the dilute Fermi gas
  near unitarity

abstract:
  The dilute Fermi gas at unitarity is scale invariant and its bulk viscosity
vanishes. We compute the leading contribution to the bulk viscosity when the
scattering length is not infinite. A measure of scale breaking is provided by
the ratio $(P-\frac{2}{3}{\cal E})/P$, where $P$ is the pressure and ${\cal E}$
is the energy density. In the high temperature limit this ratio scales as
$\frac{z\lambda}{a}$, where $z$ is the fugacity, $\lambda$ is the thermal wave
length, and $a$ is the scattering length. We show that the bulk viscosity
$\zeta$ scales as the second power of this parameter, $\zeta \sim
(\frac{z\lambda}{a})^2 \lambda^{-3}$.


title:
Free expansion of quasi-2D Bose-Einstein condensates with quantized
  vortices

abstract:
  We observe that a density-depleted vortex core evolves into concentric
density ripples in a freely expanding quasi-two-dimensional Bose-Einstein
condensate. The atomic density of the expanding condensate rapidly reduces due
to the fast expansion along the tightly confining axial direction, and thus the
transverse expansion of the condensate is not significantly affected by the
atom-atom interactions. We find that the observed density profiles of the
vortex cores are in good quantitative agreement with numerical simulations
assuming no interactions. We analyze the defocused images of the vortex cores,
where defocussing is caused by the free fall of the condensate during the
expansion time. In the defocused images, the vortex core becomes magnified and
appears to be filled after a certain expansion time which depends on the vortex
charge number.


title: Does a proton "bubble" structure exist in the low-lying states of 34Si?

abstract:
  The possible existence of a "bubble" structure in the proton density of
$^{34}$Si has recently attracted a lot of research interest. To examine the
existence of the "bubble" structure in low-lying states, we establish a
relativistic version of configuration mixing of both particle number and
angular momentum projected quadrupole deformed mean-field states and apply this
state-of-the-art beyond relativistic mean-field method to study the density
distribution of the low-lying states in $^{34}$Si. An excellent agreement with
the data of low-spin spectrum and electric multipole transition strengths is
achieved without introducing any parameters. We find that the central
depression in the proton density is quenched by dynamic quadrupole shape
fluctuation, but not as significantly as what has been found in a beyond
non-relativistic mean-field study. Our results suggest that the existence of
proton "bubble" structure in the low-lying excited $0^+_2$ and $2^+_1$ states
is very unlikely.


title:
Binding carriers to a non-magnetic impurity in a two-dimensional square
  Ising antiferromagnet

abstract:
  A hole in a two-dimensional Ising antiferromagnet was believed to be
infinitely heavy due to the string of wrongly oriented spins it creates as it
moves, which should trap it near its original location. Trugman showed that, in
fact, the hole acquires a finite effective mass due to contributions from
so-called {\it Trugman loop} processes, where the hole goes nearly twice around
closed loops, first creating and then removing wrongly-oriented spins, and
ending up at a different lattice site. This generates effective second- and
third-nearest-neighbor hopping terms which keep the quasiparticle on the
sublattice it was created on. Here, we investigate the trapping of the
quasiparticle near a single attractive non-magnetic impurity placed at one
lattice site. We consider the two cases with the quasiparticle and impurity
being on the same versus on different sublattices. The main result is that even
though the quasiparticle can not see the bare disorder in the latter case, the
coupling to magnons generates an effective renormalized disorder on its own
sublattice which is strong enough to lead to bound states, which however have a
very different spectrum than when the quasiparticle and impurity are on the
same sublattice.


title: Pulsating Fronts in a 2D Reactive Boussinesq System

abstract:
  We consider a reactive Boussinesq system with no stress boundary conditions
in a periodic domain which is unbounded in one direction. Specifically, we
couple the reaction-advection-diffusion equation for the temperature, $T$, and
the linearized Navier-Stokes equation with the Boussinesq approximation for the
fluid flow, $u$. We show that this system admits smooth pulsating front
solutions that propagate with a positive, fixed speed.


title: Dimerization, Trimerization and Quantum pumping

abstract:
  We study one-dimensional topological models with dimerization and
trimerization and show that these models can be generated using interaction or
optical superlattice. The topological properties of these models are
demonstrated by the appearance of edge states and the mechanism of dimerization
and trimerization is analyzed. Then we show that a quantum pumping process can
be constructed based on each one-dimensional topological model. The quantum
pumping process is explicitly demonstrated by the instantaneous energy spectrum
and local current. The result shows that the pumping is assisted by the gapless
states connecting the bands and one charge is pumped during a cycle, which also
defines a nonzero Chern number. Our study systematically shows the connection
of one-dimensional topological models and quantum pumping, and is useful for
the experimental studies on topological phases in optical lattices and photonic
quasicrystals.


title: Glauber gluons in pion-induced Drell-Yan processes

abstract:
  We point out that the existence of Glauber gluons in the $k_T$ factorization
theorem can account for the violation of the Lam-Tung relation, namely, the
anomalous lepton angular distribution, observed in pion-induced Drell-Yan
processes. Radiations, that balance the lepton-pair transverse momentum, cause
the responsible spin-transverse-momentum correlation in the Glauber-gluon
background. It is argued that the Glauber effect is significant in the pion due
to its unique role of being a Nambu-Goldstone boson and a $q\bar q$ bound state
simultaneously. This mechanism is compared to other resolutions in the
literature by means of vacuum effects and Boer-Mulders functions. We propose to
discriminate the above resolutions by measuring the $p\bar p$ Drell-Yan process
at GSI and J-PARC.


title:
Topological relics of symmetry breaking: Winding numbers and scaling
  tilts from random vortex-antivortex pairs

abstract:
  I show that random distributions of vortex-antivortex pairs (rather than of
individual vortices) lead to scaling of typical winding numbers W trapped
inside a loop of circumference C with the square root of C when the expected
winding numbers are large. Such scaling is consistent with the Kibble-Zurek
mechanism (KZM). By contrast, distribution of individual vortices with randomly
assigned topological charges would result in the dispersion of W scaling with
the square root of the area inside C. Scaling of the dispersion of W and of the
probability of detection of non-zero W with C can be also studied for loops so
small that non-zero windings are rare. In this case I show a doubling of the
scaling of dispersion with C when compared to the scaling of dispersion in the
large W regime. Moreover, probability of trapping of a non-zero W becomes, in
this case, proportional to the area subtended by C (hence, to the square of
circumference). This quadruples, as compared with large winding numbers regime,
the exponent in the power law dependence of the frequency of trapping of W=+1
or W=-1 on C. Such change of the power law exponent by a FACTOR OF FOUR implies
quadrupling of the scaling of the frequency of winding number trapping with the
quench rate, and is of key importance for experimental tests of KZM.


title: Tight Bounds for Set Disjointness in the Message Passing Model

abstract:
  In a multiparty message-passing model of communication, there are $k$
players. Each player has a private input, and they communicate by sending
messages to one another over private channels. While this model has been used
extensively in distributed computing and in multiparty computation, lower
bounds on communication complexity in this model and related models have been
somewhat scarce. In recent work \cite{phillips12,woodruff12,woodruff13}, strong
lower bounds of the form $\Omega(n \cdot k)$ were obtained for several
functions in the message-passing model; however, a lower bound on the classical
Set Disjointness problem remained elusive.
  In this paper, we prove tight lower bounds of the form $\Omega(n \cdot k)$
for the Set Disjointness problem in the message passing model. Our bounds are
obtained by developing information complexity tools in the message-passing
model, and then proving an information complexity lower bound for Set
Disjointness. As a corollary, we show a tight lower bound for the task
allocation problem \cite{DruckerKuhnOshman} via a reduction from Set
Disjointness.


title: Additive Eigenvalue Problem (a survey), (With appendix by M. Kapovich)

abstract:
  The classical Hermitian eigenvalue problem addresses the following question:
What are the possible eigenvalues of the sum A+B of two Hermitian matrices A
and B, provided we fix the eigenvalues of A and B. A systematic study of this
problem was initiated by H. Weyl (1912). By virtue of contributions from a long
list of mathematicians, notably Weyl (1912), Horn (1962), Klyachko (1998) and
Knutson-Tao (1999), the problem is finally settled. The solution asserts that
the eigenvalues of A+B are given in terms of certain system of linear
inequalities in the eigenvalues of A and B. These inequalities are given
explicitly in terms of certain triples of Schubert classes in the singular
cohomology of Grassmannians and the standard cup product. Belkale (2001) gave
an optimal set of inequalities for the problem in this case. The Hermitian
eigenvalue problem has been extended by Berenstein-Sjamaar (2000) and
Kapovich-Leeb-Millson (2005) for any semisimple complex algebraic group G.
Their solution is again in terms of a system of linear inequalities obtained
from certain triples of Schubert classes in the singular cohomology of the
partial flag varieties G/P (P being a maximal parabolic subgroup) and the
standard cup product. However, their solution is far from being optimal. In a
joint work with P. Belkale, we define a deformation of the cup product in the
cohomology of G/P and use this new product to generate our system of
inequalities which solves the problem for any G optimally (as shown by
Ressayre). This article is a survey (with more or less complete proofs) of this
additive eigenvalue problem.


title:
Multi-bump solutions of $-\Delta u=K(x)u^{\frac{n+2}{n-2}}$ on lattices
  in $R^n$

abstract:
  We consider critical exponent semi-linear elliptic equation with coefficient
K(x) periodic in its first k variables, with 2k smaller than n-2. Under some
natural conditions on K near a critical point, we prove the existence of
multi-bump solutions where the centers of bumps can be placed in some lattices
in Rk, including infinite lattices. We also show that for 2k greater than or
equal to n-2, no such solutions exist.


title: Action of derived automorphisms on infinity-morphisms

abstract:
  In this paper we investigate how to simultaneously change homotopy algebras
of a certain type and a corresponding infinity morphism between them, and show
that this can be done in a homotopically unique way. More precisely, for a
reduced cooperad C, given \Omega(C)-algebras V and W and an infinity-morphism U
from V to W, for any derivation \phi of \Omega(C) we produce new
\Omega(C)-algebras V' and W' and a new infinity-morphism U' between them, that
are unique up to homotopy. Operads play the central role in answering this
question, in particular a 2-colored operad Cyl(C) that governs pairs of
homotopy algebras and infinity-morphisms between them.


title:
Multiplicative structures of the immaculate basis of non-commutative
  symmetric functions

abstract:
  We continue our development of a new basis for the algebra of non-commutative
symmetric functions. This basis is analogous to the Schur basis for the algebra
of symmetric functions, and it shares many of its wonderful properties. For
instance, in this article we describe non-commutative versions of the
Littlewood-Richardson rule and the Murnaghan-Nakayama rule. A surprising
relation develops among non-commutative Littlewood-Richardson coefficients,
which has implications to the commutative case. Finally, we interpret these new
coefficients geometrically as the number of integer points inside a certain
polytope.


title:
Development of a Time-resolved Neutron Imaging Detector Based on the
  {\mu}PIC Micro-Pixel Chamber

abstract:
  We have developed a prototype time-resolved neutron imaging detector
employing a micro-pattern gaseous detector known as the micro-pixel chamber
({\mu}PIC) coupled with a field-programmable-gate-array-based data acquisition
system. Our detector system combines 100{\mu}m-level spatial and sub-{\mu}s
time resolutions with a low gamma sensitivity of less than 10^-12 and high data
rates, making it well suited for applications in neutron radiography at
high-intensity, pulsed neutron sources. In the present paper, we introduce the
detector system and present several test measurements performed at NOBORU
(BL10), J-PARC to demonstrate the capabilities of our prototype. We also
discuss future improvements to the spatial resolution and rate performance.

categories: physics.ins-det cond-mat.mtrl-sci hep-ex nucl-ex


title: Exploring Torus Universes in Causal Dynamical Triangulations

abstract:
  Motivated by the search for new observables in nonperturbative quantum
gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions
with the spatial topology of a torus. This system is of particular interest,
because one can study not only the global scale factor, but also global shape
variables in the presence of arbitrary quantum fluctuations of the geometry.
Our initial investigation focusses on the dynamics of the scale factor and
uncovers a qualitatively new behaviour, which leads us to investigate a novel
type of boundary conditions for the path integral. Comparing large-scale
features of the emergent quantum geometry in numerical simulations with a
classical minisuperspace formulation, we find partial agreement. By measuring
the correlation matrix of volume fluctuations we succeed in reconstructing the
effective action for the scale factor directly from the simulation data. Apart
from setting the stage for the analysis of shape dynamics on the torus, the new
set-up highlights the role of nontrivial boundaries and topology.


title:
Broadcast Channel Games: Equilibrium Characterization and a MIMO MAC-BC
  Game Duality

abstract:
  The emergence of heterogeneous decentralized networks without a central
controller, such as device-to-device communication systems, has created the
need for new problem frameworks to design and analyze the performance of such
networks. As a key step towards such an analysis for general networks, this
paper examines the strategic behavior of \emph{receivers} in a Gaussian
broadcast channel (BC) and \emph{transmitters} in a multiple access channel
(MAC) with sum power constraints (sum power MAC) using the framework of
non-cooperative game theory. These signaling scenarios are modeled as
generalized Nash equilibrium problems (GNEPs) with jointly convex and coupled
constraints and the existence and uniqueness of equilibrium achieving
strategies and equilibrium utilities are characterized for both the Gaussian BC
and the sum power MAC. The relationship between Pareto-optimal boundary points
of the capacity region and the generalized Nash equilibria (GNEs) are derived
for the several special cases and in all these cases it is shown that all the
GNEs are Pareto-optimal, demonstrating that there is no loss in efficiency when
players adopt strategic behavior in these scenarios. Several key equivalence
relations are derived and used to demonstrate a game-theoretic duality between
the Gaussian MAC and the Gaussian BC. This duality allows a parametrized
computation of the equilibria of the BC in terms of the equilibria of the MAC
and paves the way to translate several MAC results to the dual BC scenario.


title: The proximal-proximal gradient algorithm

abstract:
  We consider the problem of minimizing a convex objective which is the sum of
a smooth part, with Lipschitz continuous gradient, and a nonsmooth part.
Inspired by various applications, we focus on the case when the nonsmooth part
is a composition of a proper closed convex function P and a nonzero affine map,
with the proximal mappings of \tau P, \tau > 0, easy to compute. In this case,
a direct application of the widely used proximal gradient algorithm does not
necessarily lead to easy subproblems. In view of this, we propose a new
algorithm, the proximal-proximal gradient algorithm, which admits easy
subproblems. Our algorithm reduces to the proximal gradient algorithm if the
affine map is just the identity map and the stepsizes are suitably chosen, and
it is equivalent to applying a variant of the alternating minimization
algorithm [35] to the dual problem. Moreover, it is closely related to inexact
proximal gradient algorithms [29,33]. We show that the whole sequence generated
from the algorithm converges to an optimal solution. We also establish an upper
bound on iteration complexity. Our numerical experiments on the stochastic
realization problem and the logistic fused lasso problem suggest that the
algorithm performs reasonably well on large-scale instances.


title:
Tribological Analysis of Ventral Scale Structure in a Python Regius in
  Relation to Laser Textured Surfaces

abstract:
  Laser Texturing is one of the leading technologies applied to modify surface
topography. To date, however, a standardized procedure to generate
deterministic textures is virtually non-existent. In nature, especially in
squamata, there are many examples of deterministic structured textures that
allow species to control friction and condition their tribological response for
efficient function. In this work, we draw a comparison between industrial
surfaces and reptilian surfaces. We chose the python regius species as a
bio-analogue with a deterministic surface. We first study the structural make
up of the ventral scales of the snake (both construction and metrology). We
further compare the metrological features of the ventral scales to
experimentally recommended performance indicators of industrial surfaces
extracted from open literature. The results indicate the feasibility of
engineering a Laser Textured Surface based on the reptilian ornamentation
constructs. It is shown that the metrological features, key to efficient
function of a rubbing deterministic surface, are already optimized in the
reptile. We further show that optimization in reptilian surfaces is based on
synchronizing surface form, textures and aspects to condition the frictional
response. Mimicking reptilian surfaces, we argue, may form a design methodology
potentially capable of generating advanced deterministic surface constructs
capable of efficient tribological function.


title:
Characterization of fluorescence collection optics integrated with a
  micro-fabricated surface electrode ion trap

abstract:
  One of the outstanding challenges for ion trap quantum information processing
is to accurately detect the states of many ions in a scalable fashion. In the
particular case of surface traps, geometric constraints make imaging
perpendicular to the surface appealing for light collection at multiple
locations with minimal cross-talk. In this report we describe an experiment
integrating Diffractive Optic Elements (DOE's) with surface electrode traps,
connected through in-vacuum multi-mode fibers. The square DOE's reported here
were all designed with solid angle collection efficiencies of 3.58%; with all
losses included a detection efficiency of 0.388% (1.02% excluding the PMT loss)
was measured with a single Ca+ ion. The presence of the DOE had minimal effect
on the stability of the ion, both in temporal variation of stray electric
fields and in motional heating rates.


title:
Coherent monochromatic phonons in highly-purified semiconducting
  single-wall carbon nanotubes

abstract:
  We have used a femtosecond pump-probe impulsive Raman technique to explore
the polarization dependence of coherent optical phonons in highly-purified and
aligned semiconducting single-wall carbon nanotubes (SWCNTs). Coherent phonon
spectra for the radial breathing modes (RBMs) exhibit a different monochromatic
frequency between the film and solution samples, indicating the presence of
differing exciton excitation processes. By varying the polarization of the
incident pump beam on the aligned SWCNT film, we found that the anisotropy of
the coherent RBM excitation depends on the laser wavelength, which we consider
to be associated with the resonant and off-resonant behavior of RBM excitation.


title:
Restoration of magnetization reversal under hydrostatic pressure in the
  lightly electron-doped manganite compound (Ca,Sr)Mn0.95Sb0.05O3

abstract:
  We report on the anomalous magnetization reversal under hydrostatic pressure
in the lightly electron-doped manganite compound
(Ca$_{1-x}$Sr$_{x}$)Mn$_{0.95}$Sb$_{0.05}$O$_{3}$ with its fixed carrier
content. In a weakly magnetic field cooled measurement, diamagnetic
magnetization is observed for $x\leq 15\%$, which changes to positive values
for $x>15\%$. However, on an application of pressure on the samples with
$x=16\%$ and 17$\%$, magnetization reverses sign and diamagnetism is restored.
We present a magnetic phase diagram as a function of Sr concentration, under
both ambient and hydrostatic pressures. To understand better the
thermodynamical properties of this system, we have measured the specific heat
as a function of temperature under a field cooling of 100 Oe. Our data show no
anomalies associated with the temperature dependent magnetization reversal,
indicating the absence of a long-rang magnetic ordering. The $ac$ magnetic
susceptibility measurement points to the existence of magnetic frustration for
the Sr substituted samples exhibiting diamagnetic behavior.


title: Perturbative quantum gravity in Batalin-Vilkovisky formalism

abstract:
  In this Letter we consider the perturbative quantum gravity on the
super-manifold which remains invariant under absolutely anticommuting BRST and
anti-BRST transformations. In addition to that the theory posses one more
symmetry known as shift symmetry. The BRST invariant Batalin-Vilkovisky (BV)
action for perturbative quantum gravity is realized as a translation in
Grassmann coordinate. Further we show that the quantum master equation of the
BV quantization method at one-loop order can be translated to have a superfield
structure for the action. However, the BRST as well as anti-BRST invariant BV
action is constructed in superspace with the help of two Grassmann coordinates.


title: Closing in on the Fermi Line with a New Observation Strategy

abstract:
  Evidence for a spectral line in the inner Galaxy has caused a great deal of
excitement over the last year, mainly because of its interpretation as a
possible dark matter signal. The observation has raised important questions
about statistics and suspicions about systematics, especially in photons from
the Earth limb. With enough additional data, we can address these concerns. In
this white paper, we summarize the current observational situation and project
future sensitivities, finding that the status quo is dangerously close to
leaving the issue unresolved until 2015. We advocate a change in survey
strategy that more than doubles the data rate in the inner Galaxy, and is
relatively non-disruptive to other survey science. This strategy will clearly
separate the null hypothesis from the line signal hypothesis and provide ample
limb data for systematics checks by the end of 2014. The standard survey mode
may not.


title: On BC-trees and BC-subtrees

abstract:
  A BC-tree (block-cutpoint-tree) is a tree (with at least two vertices) where
the distance between any two leaves is even. Motivated from the study of the
"core" of a graph, BC-trees provide an interesting class of trees. We consider
questions related to BC-trees as an effort to make modest progress towards the
understanding of this concept. Constructive algorithms are provided for
BC-trees with given order and number of leaves whenever possible. The concept
of BC-subtrees is naturally introduced. Inspired by analogous work on trees and
subtrees, we also present some extremal results and briefly discuss the "middle
part" of a tree with respect to the number of BC-subtrees.


title: Vector like leptons with extended Higgs sector

abstract:
  We examined the influence of additional scalar doublet on the parameter space
of the Standard Model supplemented with a generation of new vector like
leptons. In particular we identified the viable regions of parameter space by
inspecting various constraints especially electroweak precision (S, T and U)
parameters. We demonstrated that the additional scalar assists in alleviating
the tension of electroweak precision constraints and thus permitting larger
Yukawa mixing and mass splittings among vector like species. We also compared
and contrasted the regions of parameter space pertaining to the latest LHC
Higgs to diphoton channel results in this scenario with vector like leptons in
single Higgs doublet and pure two Higgs doublet model case.


title: Baryonium

abstract:
  In the framework of the heavy baryon perturbation theory, in which the
two-pion exchange is considered, the physical properties of
heavy-baryon-anti-heavy-baryon systems are revisited. The potentials between
heavy-baryon and anti-heavy-baryon are extracted in a holonomic form. Based on
the extracted potentials, the s-wave scattering phase shifts and scattering
lengths of $\Lambda_c$-$\bar{\Lambda}_c$ and $\Sigma_c$-$\bar{\Sigma}_c$ are
calculated. From these scattering features, it is found that the
$\Lambda_c$-$\bar{\Lambda}_c$ system can be bound only when the value of the
coupling constant $g_2$ is larger than that from the decay data of the
$\Sigma_c(\Sigma_c^*) \to \Lambda_c \pi$ process. The binding condition for the
$\Sigma_c$-$\bar{\Sigma}_c$ system is also examined. The binding possibilities
of these systems deduced from the scattering calculations are also checked by
the bound state calculation and the binding energies are obtained if the system
can be really bound. The binding possibility of the
$\Lambda_b$-$\bar{\Lambda}_b$ system is investigated as well.


title:
Propagation of singularities for Schr\"odinger equations with modestly
  long range type potentials

abstract:
  In a previous paper by the second author, we discussed a characterization of
the microlocal singularities for solutions to Schr\"odinger equations with long
range type perturbations, using solutions to a Hamilton-Jacobi equation. In
this paper we show that we may use Dollard type approximate solutions to the
Hamilton-Jacobi equation if the perturbation satisfies somewhat stronger
conditions. As applications, we describe the propagation of microlocal
singularities for $e^{itH_0}e^{-itH}$ when the potential is asymptotically
homogeneous as $|x|\to\infty$, where $H$ is our Schr\"odinger operator, and
$H_0$ is the free Schr\"odinger operator, i.e., $H_0=-\frac12 \triangle$. We
show $e^{itH_0}e^{-itH}$ shifts the wave front set if the potential $V$ is
asymptotically homogeneous of order 1, whereas $e^{itH}e^{-itH_0}$ is smoothing
if $V$ is asymptotically homogenous of order $\beta\in (1,3/2)$.


title:
Reduced Dimensionality tailored HN(C)N Pulse Sequences for Efficient
  Backbone Resonance Assignment of Proteins through Rapid Identification of
  Sequential HSQC peaks

abstract:
  Two novel reduced dimensionality (RD) experiments -(4,3)D-hNCOcaNH and
(4,3)D-hNcoCANH- have been presented here to facilitate the backbone resonance
assignment of proteins both in terms of its accuracy and speed. The experiments
basically represent an improvisation of previously reported HN(C)N experiment
[Panchal et. al., J. Biomol. NMR. (2002), 20 (2), 135-147] and exploit the
simple reduced dimensionality NMR concept [Szyperski et. al. (2002), Proc.
Natl. Acad. Sci. U.S.A. 99(12), 8009-8014] to achieve (a) higher dispersion and
resolution along the co-evolved F1 dimension and (b) rapid identification of
sequential HSQC peaks on its F2(15N)- F3(1H) planes. The current implementation
is based on the fact that the linear combination of 15N and 13CO/13Ca chemical
shifts offers relatively better dispersion and randomness compared to the
individual chemical shifts; thus enables the assignment of crowded HSQC spectra
by resolving the ambiguities generally encountered in HNCN based assignment
protocol because of amide 15N shift degeneracy. Additionally, each of these
experiments enables assignment of backbone 13CO/13Ca resonances as well.
Overall, the reduced dimensionality tailored HNCN experiments presented here
will be of immense value for various structural and functional proteomics
studies by NMR; particularly of intrinsically or partially/unstructured
proteins and medium sized (MW ~12-15 kDa) folded proteins. The experiments,
like any other experiment that yields protein assignments, would be extremely
valuable for protein folding and drug discovery programs as well.


title: A Remark on the Mourre Theory for Two Body Schr\"odinger operators

abstract:
  On this short note, we apply the Mourre theory of the limiting absorption
with {\it difference} type conditions on the potential, instead of conditions
on the derivatives. In order that we modify the definition of the conjugate
operator, and we apply the standard abstract Mourre theory. We also discuss
examples to which the method applies.


title:
Multiple recurrence and convergence results associated to
  $\mathbb{F}_{p}^{\omega}$-actions

abstract:
  Using an ergodic inverse theorem obtained in our previous paper, we obtain
limit formulae for multiple ergodic averages associated with the action of
$\mathbb{F}_{p}^{\omega}$. From this we deduce multiple Khintchine-type
recurrence results analogous to those for $\mathbb{Z}$-systems obtained by
Bergelson, Host, and Kra, and also present some new counterexamples in this
setting.


title: Oscillations above sunspots from the temperature minimum to the corona

abstract:
  Context. An analysis of the oscillations above sunspots was carried out using
simultaneous ground-based and Solar Dynamics Observatory (SDO) observations
(SiI 10827A, HeI 10830A, FeI 6173A, 1700A, HeII 304A, FeIX 171A).
  Aims. Investigation of the spatial distribution of oscillation power in the
frequency range 1-8 mHz for the different height levels of the solar
atmosphere. Measuring the time lags between the oscillations at the different
layers.
  Methods. We used frequency filtration of the intensity and Doppler velocity
variations with Morlet wavelet to trace the wave propagation from the
photosphere to the chromosphere and the corona.
  Results. The 15 min oscillations are concentrated near the outer penumbra in
the upper photosphere (1700 A), forming a ring, that expands in the transition
zone. These oscillations propagate upward and reach the corona level, where
their spatial distribution resembles a fan structure. The spatial distribution
of the 5 min oscillation power looks like a circle-shape structure matching the
sunspot umbra border at the photospheric level. The circle expands at the
higher levels (HeII 304A and FeIX 171A). This indicates that the low-frequency
oscillations propagate along the inclined magnetic tubes in the spot. We found
that the inclination of the tubes reaches 50--60 degrees in the upper
chromosphere and the transition zone. The main oscillation power in the 5-8 mHz
range concentrates within the umbra boundaries at all the levels. The highest
frequency oscillations (8 mHz) are located in the peculiar points inside the
umbra. These points probably coincide with umbral dots. We deduced the
propagation velocities to be 28+-15 km/s, 26+-15 km/s, and 55+-10 km/s for the
SiI 10827A-HeI 10830A, 1700A-HeII 304A, and HeII 304A-FeIX 171A height levels,
respectively.


title:
Third-Order Short-Time Expansions for Close-to-the-Money Option Prices
  under the CGMY Model

abstract:
  A third-order approximation for close-to-the-money European option prices
under an infinite-variation CGMY L\'{e}vy model is derived, and is then
extended to a model with an additional independent Brownian component. The
asymptotic regime considered, in which the strike is made to converge to the
spot stock price as the maturity approaches zero, is relevant in applications
since the most liquid options have strikes that are close to the spot price.
Our results shed new light on the connection between both the volatility of the
continuous component and the jump parameters and the behavior of option prices
near expiration when the strike is close to the spot price. In particular, a
new type of transition phenomenon is uncovered in which the third order term
exhibits two distinct asymptotic regimes depending on whether $Y\in(1,3/2)$ or
$Y\in(3/2,2)$. Unlike second order approximations, the expansions herein are
shown to be remarkably accurate so that they can actually be used for
calibrating some model parameters. For illustration, we calibrate the
volatility $\sigma$ of the Brownian component and the jump intensity $C$ of the
CGMY model to actual option prices.


title: Excluding words from Dyck shifts

abstract:
  We study subshift that arise by excluding words of length two from Dyck
shifts. The words that are to be excluded are taken from a finite set that is
not literal-uniform.


title:
From microscopic theory to macroscopic theory: dynamics of the rod-like
  liquid crystal molecules

abstract:
  Starting from Doi-Onsager equation for the liquid crystal, we first derive
the Q-tensor equation by the Bingham closure. Then we derive the
Ericksen-Leslie equation from the Q-tensor equation by taking the small Deborah
number limit.


title:
G-Expectation Weighted Sobolev Spaces, Backward SDE and Path Dependent
  PDE

abstract:
  We introduce a new notion of G-expectation-weighted Sobolev spaces, or in
short, G-Sobolev spaces, and prove that a backward SDEs driven by G-Brownian
motion are in fact path dependent PDEs in the corresponding Sobolev spaces
under G-norms. For the linear case of G corresponding the classical Wiener
probability space with Wiener measure P, we have established a 1-1
correspondence between BSDE and such new type of quasilinear PDE in the
corresponding P-Sobolev space. When G is nonlinear, we also provide such 1-1
correspondence between a fully nonlinear PDE in the corresponding G-Sobolev
space and BSDE driven by G-Brownian. Consequently, the existence and uniqueness
of such type of fully nonlinear path-dependence PDE in G-Sobolev space have
been obtained via a recent results of BSDE driven by G-Brownian motion.


title:
On the Complexity Analysis of Randomized Block-Coordinate Descent
  Methods

abstract:
  In this paper we analyze the randomized block-coordinate descent (RBCD)
methods proposed in [8,11] for minimizing the sum of a smooth convex function
and a block-separable convex function. In particular, we extend Nesterov's
technique developed in [8] for analyzing the RBCD method for minimizing a
smooth convex function over a block-separable closed convex set to the
aforementioned more general problem and obtain a sharper expected-value type of
convergence rate than the one implied in [11]. Also, we obtain a better
high-probability type of iteration complexity, which improves upon the one in
[11] by at least the amount $O(n/\epsilon)$, where $\epsilon$ is the target
solution accuracy and $n$ is the number of problem blocks. In addition, for
unconstrained smooth convex minimization, we develop a new technique called
{\it randomized estimate sequence} to analyze the accelerated RBCD method
proposed by Nesterov [11] and establish a sharper expected-value type of
convergence rate than the one given in [11].


title: How fast and robust is the quantum adiabatic passage?

abstract:
  We study the assisted adiabatic passage, and equivalently the transitionless
quantum driving, as a quantum brachistochrone trajectory. The optimal
Hamiltonian for given constraints is constructed from the quantum
brachistochrone equation. We discuss how the adiabatic passage is realized as
the solution of the equation. The formulation of the quantum brachistochrone is
based on the principle of least action. We utilize it to discuss the stability
of the adiabatic passage.


title: Soergel Bimodules, the Steenrod Algebra and Triply Graded Link homology

abstract:
  Soergel bimodules and their Hochschild homology are known to be important in
the context of link homology. In this article we observe that Soergel bimodules
may be naturally identified as the cohomology of well-defined objects in the
category of spectra. This allows us to define forms of Soergel bimodules over
the integers after inverting 2, indexed by elements in Braid groups associated
to compact Lie groups of adjoint type. Reducing the Soergel bimodules modulo an
odd prime, we endow the bimodules with an action of the reduced Steenrod
algebra. This action extends to an action of the reduced Steenrod algebra on
the Hochschild homology of Soergel bimodules over the primary field F_p for odd
primes p. In the special case of the n-stranded Braid group, our results allow
us to define the triply graded link homology over any ring where 2 is
invertible, and deduce that the reduced Steenrod algebra acts on triply graded
link homology over the field F_p for odd primes p.


title:
From microscopic theory to macroscopic theory: symmetries and order
  parameters of rigid molecules

abstract:
  We use density functional theory to describe the phase behaviors of rigid
molecules. The construction of kernel function G(x, P, x, P) is discussed.
Excluded-volume potential is calculated for two types of molecules with C_{2v}
symmetry. Molecular symmetries lead to the symmetries of G and density function
f(P), enabling a reduction of configuration space. By approximating G with a
polynomial, the system can be fully characterized by some moments corresponding
to the form of G. The symmetries of G determine the form of the polynomial,
while the coefficients are determined by temperature and molecular parameters.
The analysis of the impact of coefficients helps us to choose independent
variables in the moments as order parameters. Order parameters for bent-core
molecules are predicted.


title:
Diffractive dissociation of gluons into heavy quark-antiquark pairs in
  proton-proton collisions

abstract:
  We discuss diffractive dissociation of gluons into heavy quark pairs. The
particular mechanism is similar to the diffractive dissociation of virtual
photons into quarks, which drives diffractive deep inelastic production of
charm in the low-mass diffraction, or large $\beta$-region. There, it can be
understood, with some reservations, in terms of a valence heavy quark content
of the Pomeron. The amplitude for the $g p \to Q \bar Q p$ is derived in the
impact parameter and momentum space. The cross section for single diffractive
$p p \to Q \bar Q p X$ is calculated as a convolution of the elementary cross
section and gluon distribution in the proton. Integrated cross section and the
differential distributions in e.g. transverse momentum and rapidity of the
charm and bottom quark and antiquark, as well as the quark-antiquark invariant
mass are calculated for the nominal LHC energy for different unintegrated gluon
distributions from the literature. The ratio of the bottom-to-charm cross
sections are shown and discussed as a function of several kinematical
variables.


title: Strange mode instability for micro-variations in Luminous Blue Variables

abstract:
  If a massive star has lost significant mass during its red-supergiant stage,
it would return to blue region in the HR diagram and spend a part of the
core-He burning stage as a blue supergiant having a luminosity to mass ratio
(L/M) considerably larger than about 10^4 (in solar units); the duration
depends on the degree of internal mixing and on the metallicity. Then, various
stellar pulsations are excited by enhanced \kappa-mechanism and strange mode
instability. Assuming these pulsations to be responsible for (at least some of)
the quasi-periodic light and radial-velocity variations in \alpha Cygni
variables including luminous blue variables (LBVs; or S Dor variables), we can
predict masses and surface compositions for these variables, and compare them
with observed ones to constrain the evolutionary models. We discuss radial
pulsations excited in evolutionary models of an initial mass of 40 M_\odot with
solar metallicity of Z=0.014, and compare them to micro-variations in the two
Galactic LBVs, HR Car and HD 160529. We have found that these stars should has
lost more than half of the initial mass and their surface CNO abundances should
be significantly modified from the original ones showing partial H-burning
products.


title: A Linear-size Conversion of HCP to 3HCP

abstract:
  We provide an algorithm that converts any instance of the Hamiltonian cycle
problem (HCP) into a cubic instance of HCP (3HCP), and prove that the input
size of the new instance is only a linear function of that of the original
instance. This is achieved by first considering various restrictions of HCP.
Known conversions from directed HCP to undirected HCP, and sub-cubic HCP to
cubic HCP are given. We introduce a subgraph called a 4-gate and show that it
may be used to convert sub-quartic HCP into sub-cubic HCP. We further
generalise this idea by first introducing the 5-gate, and then the s-gate for
any s >= 4. We prove that these subgraphs may be used to convert general
instances of HCP into cubic HCP instances, where the input size of the
converted instance is a quadratic function of that of the original instance.
This result improves upon the previously best known approach which results in
cubic growth in the size of the instance. We further prove that the quadratic
function is reduced to a linear function if the maximum initial degree is
bounded above by a constant. Motivated by this result, we describe an algorithm
to convert general HCP to HCP of bounded degree and prove that it results in
only linear growth. All of the above results are then used in the proof that
any instance of HCP may be converted to an equivalent instance 3HCP with only
linear growth in the input size.


title:
Collective flows of light particles in the Au+Au collision at
  intermediate energies

abstract:
  The Skyrme potential energy density functional is introduced into the
Ultrarelativistic Quantum Molecular Dynamics (UrQMD) model and the updated
version is applied to studying the directed and elliptic flows of light
particles (protons, neutrons, deuterons, tritons, $^3$He and $^4$He) in
$^{197}$Au+$^{197}$Au collisions at beam energies 150, 250 and 400 MeV/nucleon.
The results are compared with the recent FOPI experimental data. It is found
that the yields and collective flows of light particles can be described quite
well. The influence of the equation of state (EoS), medium-modified
nucleon-nucleon elastic cross sections (NNECS) and cluster recognition criteria
on the directed and elliptic flows is studied in detail. It is found that the
flows of light particles are sensitive to the medium-modified NNECS, but not
sensitive to the isospin dependent cluster recognition criteria. It seems
difficult, however, even with the new data and calculations, to obtain a more
accurate constraint on the nuclear incompressibility $K_0$ than the interval
200-260 MeV.


title:
An UHF RFID Energy-Harvesting System Enhanced by a DC-DC Charge Pump in
  Silicon-on-Insulator Technology

abstract:
  An RF-DC converter enhanced by a DC-DC voltage booster in
silicon-on-insulator technology for UHF radio frequency identification (RFID)
energy harvesting is presented in this letter. When the received RF power level
is -14 dBm or higher, the system, fabricated on an FR4 substrate using
off-the-shelf low-cost discrete components and connected to a flexible dipole
antenna, is able to produce 2.4-V DC voltage to power general-purpose
electronic devices. As a simple proof of concept,a device comprising
microcontroller, temperature sensor, and EEPROM is considered in this work. The
experimental results demonstrate the capability of the system to autonomously
perform temperature data logging up to a distance of 5 m from a conventional
UHF RFID reader used as an RF energy source.


title:
Enabling Self-Powered Autonomous Wireless Sensors with New-Generation
  I2C-RFID Chips

abstract:
  A self-powered autonomous RFID device with sensing and computing capabilities
is presented in this paper. Powered by an RF energy-harvesting circuit enhanced
by a DC-DC voltage booster in silicon-on-insulator (SOI) technology, the device
relies on a microcontroller and a new generation I2C-RFID chip to wirelessly
deliver sensor data to standard RFID EPC Class-1 Generation-2 (Gen2) readers.
When the RF power received from the interrogating reader is -14 dBm or higher,
the device, fabricated on an FR4 substrate using low-cost discrete components,
is able to produce 2.4-V DC voltage to power its circuitry. The experimental
results demonstrate the effectiveness of the device to perform reliable sensor
data transmissions up to 5 meters in fully-passive mode. To the best of our
knowledge, this represents the longest read range ever reported for passive UHF
RFID sensors compliant with the EPC Gen2 standard.


title:
The incompressible limit in linear anisotropic elasticity, with
  application to surface waves and elastostatics

abstract:
  Incompressibility is established for three-dimensional and two-dimensional
deformations of an anisotropic linearly elastic material, as conditions to be
satisfied by the elastic compliances. These conditions make it straightforward
to derive results for incompressible materials from those established for the
compressible materials. As an illustration, the explicit secular equation is
obtained for surface waves in incompressible monoclinic materials with the
symmetry plane at x_3=0. This equation also covers the case of incompressible
orthotropic materials.
  The displacements and stresses for surface waves are often expressed in terms
of the elastic stiffnesses, which can be unbounded in the incompressible limit.
An alternative formalism in terms of the elastic compliances presented recently
by Ting is employed so that surface wave solutions in the incompressible limit
can be obtained. A different formalism, also by Ting, is employed to study the
solutions to two-dimensional elastostatic problems.
  In the special case of incompressible monoclinic material with the symmetry
plane at x_3=0, one of the three Barnett-Lothe tensors S vanishes while the
other two tensors H and L are the inverse of each other. Moreover, H and L are
diagonal with the first two diagonal elements being identical. An interesting
physical phenomenon deduced from this property is that there is no
interpenetration of the interface crack surface in an incompressible
bimaterial. When only the inplane deformation is considered, it is shown that
the image force due to a line dislocation in a half-space or in a bimaterial
depends only on the magnitude, not on the direction, of the Burgers vector.


title:
Eigenvalues of normalized Laplacian matrices of fractal trees and
  dendrimers: Analytical results and applications

abstract:
  The eigenvalues of the normalized Laplacian matrix of a network plays an
important role in its structural and dynamical aspects associated with the
network. In this paper, we study the spectra and their applications of
normalized Laplacian matrices of a family of fractal trees and dendrimers
modeled by Cayley trees, both of which are built in an iterative way. For the
fractal trees, we apply the spectral decimation approach to determine
analytically all the eigenvalues and their corresponding multiplicities, with
the eigenvalues provided by a recursive relation governing the eigenvalues of
networks at two successive generations. For Cayley trees, we show that all
their eigenvalues can be obtained by computing the roots of several
small-degree polynomials defined recursively. By using the relation between
normalized Laplacian spectra and eigentime identity, we derive the explicit
solution to the eigentime identity for random walks on the two treelike
networks, the leading scalings of which follow quite different behaviors. In
addition, we corroborate the obtained eigenvalues and their degeneracies
through the link between them and the number of spanning trees.


title: Black-body radiation shift of the Ga$^{+}$ clock transition

abstract:
  The blackbody radiation shift of the Ga$^+$ $4s^2 \ ^1S^e_0 \to 4s4p \
^3P^o_0$ clock transition is computed to be $-$$0.0140 \pm 0.0048$ Hz at 300 K.
The small shift is consistent with the blackbody shifts of the clock
transitions of other group III ions which are of a similar size. The
polarizabilities of the Ga$^+$ $4s^2 \ ^1S^e_0$, $4s4p \ ^3P^o_0$, and $4s4p \
^1P^o_1$ states were computed using the configuration interaction method with
an underlying semi-empirical core potential. A byproduct of the analysis
involved large scale calculations of the low lying spectrum and oscillator
strengths of the Ga$^{2+}$ ion.


title: Two dimensional MRT LB model for compressible and incompressible flows

abstract:
  In the paper we extend the Multiple-Relaxation-Time (MRT) Lattice Boltzmann
(LB) model proposed in [Europhys. Lett. \textbf{90}, 54003 (2010)] so that it
is suitable also for incompressible flows. To decrease the artificial
oscillations, the convection term is discretized by the flux limiter scheme
with splitting technique. New model is validated by some well-known benchmark
tests, including Riemann problem and Couette flow, and satisfying agreements
are obtained between the simulation results and analytical ones. In order to
show the merit of LB model over traditional methods, the non-equilibrium
characteristics of system are solved. The simulation results are consistent
with physical analysis.


title: High sensitive quasi freestanding epitaxial graphene gassensor on 6H-SiC

abstract:
  We have measured the electrical response to NO$_2$, N$_2$, NH$_3$ and CO for
epitaxial graphene and quasi freestanding epitaxial graphene on 6H-SiC
substrates. Quasi freestanding epitaxial graphene shows a 6 fold increase in
NO2 sensitivity compared to epitaxial graphene. Both samples show a sensitivity
better than the experimentally limited 1 ppb. The strong increase in
sensitivity of quasi freestanding epitaxial graphene can be explained by a
Fermi-energy close to the Dirac Point leading to a strongly surface doping
dependent sample resistance. Both sensors show a negligible sensitivity to
N$_2$, NH$_3$ and CO.


title:
A qoi based energy efficient clustering for dense wireless sensor
  network

abstract:
  In a wireless sensor network Quality of Information (QoI), Energy Efficiency,
Redundant data avoidance, congestion control are the important metrics that
affect the performance of wireless sensor network. As many approaches were
proposed to increase the performance of a wireless sensor network among them
clustering is one of the efficient approaches in sensor network. Many
clustering algorithms concentrate mainly on power Optimization like FSCH,
LEACH, and EELBCRP. There is necessity of the above metrics in wireless sensor
network where nodes are densely deployed in a given network area. As the nodes
are deployed densely there is maximum possibility of nodes appear in the
sensing region of other nodes. So there exists an option that nodes have to
send the information that is already reached the base station by its own
cluster members or by members of other clusters. This mechanism will affect the
QoI, Energy factor and congestion control of the wireless sensor networks. Even
though clustering uses TDMA (Time Division Multiple Access) for avoiding
congestion control for intra clustering data transmission, but it may fail in
some critical situation. This paper proposed a energy efficient clustering
which avoid data redundancy in a dense sensor network until the network becomes
sparse and hence uses the TDMA efficiently during high density of the nodes.


title: Models of some cardinal invariants with large continuum

abstract:
  We extend the applications of the techniques used in Arch Math Logic
52:261-278, 2013, to present various examples of consistency results where some
cardinal invariants of the continuum take arbitrary regular values with the
size of the continuum being bigger than $\aleph_2$.


title: Template iterations with non-definable ccc forcing notions

abstract:
  We present a version with non-definable forcing notions of Shelah's theory of
iterated forcing along a template. Our main result, as an application, is that,
if $\kappa$ is a measurable cardinal and $\theta<\kappa<\mu<\lambda$ are
uncountable regular cardinals, then there is a ccc poset forcing
$\mathfrak{s}=\theta<\mathfrak{b}=\mu<\mathfrak{a}=\lambda$. Another
application is to get models with large continuum where the groupwise-density
number $\mathfrak{g}$ assumes an arbitrary regular value.


title: Systole and $\lambda_{2g-2}$ of a hyperbolic surface

abstract:
  We apply topological methods to study eigenvalues of the Laplacian on closed
hyperbolic surfaces. For any closed hyperbolic surface $S$ of genus $g$, we get
a geometric lower bound on ${\lambda_{2g-2}}(S)$: ${\lambda_{2g-2}}(S) > 1/4 +
{\epsilon_0}(S)$, where ${\epsilon_0}(S) > 0$ is an explicit constant which
depends only on the systole of $S$


title: A Prototype of Trigger Electronics for LAWCA Experiment

abstract:
  The Large Area Water Cherenkov Array (LAWCA) experiment focuses on high
energy gamma astronomy between 100 GeV and 30 TeV. Invoked by the idea of
hardware triggerless structure, a prototype of LAWCA trigger electronics is
implemented in one single VME-9U module which obtains all the data from the 100
Front End Electronic (FEE) endpoints. Since the trigger electronics accumulates
all the information, the flexibility of trigger processing can be improved.
Meanwhile, the dedicated hardware trigger signals which are fed back to front
end are eliminated; this leads to a system with better simplicity and
stability. To accommodate the 5.4 Gbps system average data rate, the fiber
based high speed serial data transmission is adopted. Based on the logic design
in one single FPGA device, real-time trigger processing is achieved; the
reprogrammable feature of the FPGA device renders a reconfigurable structure of
trigger electronics. Simulation and initial testing results indicate that the
trigger electronics prototype functions well.


title:
Renyi entropy of the infinite well potential in momentum space and
  Dirichlet-like trigonometric functionals

abstract:
  The momentum entropic moments and R\'enyi entropies of a one-dimensional
particle in an infinite well potential are found by means of explicit
calculations of some Dirichlet-like trigonometric integrals. The associated
spreading lengths and quantum uncertainty-like sums are also provided.


title: The Doxastic Interpretation of Team Semantics

abstract:
  We advance a doxastic interpretation for many of the logical connectives
considered in Dependence Logic and in its extensions, and we argue that Team
Semantics is a natural framework for reasoning about beliefs and belief
updates.


title:
A Lower Bound for Fourier Transform Computation in a Linear Model Over
  2x2 Unitary Gates Using Matrix Entropy

abstract:
  Obtaining a non-trivial (super-linear) lower bound for computation of the
Fourier transform in the linear circuit model has been a long standing open
problem. All lower bounds so far have made strong restrictions on the
computational model. One of the most well known results, by Morgenstern from
1973, provides an $\Omega(n \log n)$ lower bound for the \emph{unnormalized}
FFT when the constants used in the computation are bounded. The proof uses a
potential function related to a determinant. The determinant of the
unnormalized Fourier transform is $n^{n/2}$, and thus by showing that it can
grow by at most a constant factor after each step yields the result.
  This classic result, however, does not explain why the \emph{normalized}
Fourier transform, which has a unit determinant, should take $\Omega(n\log n)$
steps to compute. In this work we show that in a layered linear circuit model
restricted to unitary $2\times 2$ gates, one obtains an $\Omega(n\log n)$ lower
bound. The well known FFT works in this model. The main argument concluded from
this work is that a potential function that might eventually help proving the
$\Omega(n\log n)$ conjectured lower bound for computation of Fourier transform
is not related to matrix determinant, but rather to a notion of matrix entropy.


title: Polar Coding for Secret-Key Generation

abstract:
  Practical implementations of secret-key generation are often based on
sequential strategies, which handle reliability and secrecy in two successive
steps, called reconciliation and privacy amplification. In this paper, we
propose an alternative approach based on polar codes that jointly deals with
reliability and secrecy. Specifically, we propose secret-key capacity-achieving
polar coding schemes for the following models: (i) the degraded binary
memoryless source (DBMS) model with rate-unlimited public communication, (ii)
the DBMS model with one-way rate-limited public communication, (iii) the 1-to-m
broadcast model and (iv) the Markov tree model with uniform marginals. For
models (i) and (ii) our coding schemes remain valid for non-degraded sources,
although they may not achieve the secret-key capacity. For models (i), (ii) and
(iii), our schemes rely on pre-shared secret seed of negligible rate; however,
we provide special cases of these models for which no seed is required.
Finally, we show an application of our results to secrecy and privacy for
biometric systems. We thus provide the first examples of low-complexity
secret-key capacity-achieving schemes that are able to handle vector
quantization for model (ii), or multiterminal communication for models (iii)
and (iv).


title: Easy identification of generalized common and conserved nested intervals

abstract:
  In this paper we explain how to easily compute gene clusters, formalized by
classical or generalized nested common or conserved intervals, between a set of
K genomes represented as K permutations. A b-nested common (resp. conserved)
interval I of size |I| is either an interval of size 1 or a common (resp.
conserved) interval that contains another b-nested common (resp. conserved)
interval of size at least |I|-b. When b=1, this corresponds to the classical
notion of nested interval. We exhibit two simple algorithms to output all
b-nested common or conserved intervals between K permutations in O(Kn+nocc)
time, where nocc is the total number of such intervals. We also explain how to
count all b-nested intervals in O(Kn) time. New properties of the family of
conserved intervals are proposed to do so.


title: Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling

abstract:
  We study superconducting phases in a quasi-two-dimensional multilayer system
without local inversion symmetry. Broken local inversion symmetry induces
layer-dependent Rashba-type spin-orbit couplings. We find that a complex-stripe
phase, which is the intermediate phase between the Fulde-Ferrell (FF) phase and
Larkin-Ovchinnikov (LO) phase, is realized in the magnetic field applied
parallel to the layers. A crossover from the FF phase to the LO phase appears
by tuning temperature and magnetic field. We show the local density of states
that characterizes the complex-stripe phase. As a possible realization of the
complex-stripe phase, we discuss the artificial superlattices of CeCoIn_5.


title:
A graph-theoretic approach for comparing dimensions of components in
  simply-graded algebras

abstract:
  Any simple group-grading of a finite dimensional complex algebra induces a
natural family of digraphs. We prove that $|E\circ E^{\text{op}}\cup
E^{\text{op}}\circ E|\geq |E|$ for any digraph $\Gamma =(V,E)$ without parallel
edges, and deduce that for any simple group-grading, the dimension of the
trivial component is maximal.


title: Ultracold collision in the presence of synthetic spin-orbit coupling

abstract:
  We present an analytic description of ultracold collision between two
spin-$\frac{1}{2}$ fermions with isotropic spin-orbit coupling of the Rashba
type. We show that regardless of how weak the spin-orbit coupling may be, the
ultracold collision at sufficiently low energies is significantly modified,
including the ubiquitous Wigner threshold behavior. We further show that the
particles are preferably scattered into the lower-energy helicity state due to
the break of parity conservation, thus establishing interaction with spin-orbit
coupling as one mechanism for the spontaneous emergence of handedness.


title:
Deconfinement and chiral restoration within the SU(3)
  Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio
  models in an external magnetic field

abstract:
  The behavior of the quark condensates at zero chemical potential and finite
temperature subject to an external magnetic field is studied within the three
flavor Nambu--Jona-Lasinio model with Polyakov loop (PNJL) and its extension,
the so-called entangled PNJL model (EPNJL). A comparison with recent lattice
QCD data is performed and it is shown that at $T=0$ MeV the light quark
condensates are in quantitative agreement. At finite temperature, although
there is an overall reasonable agreement with several lattice results, it is
shown that in the lattice calculations the effect due to the electric charge
quark difference is stronger and the restoration of the $u$ quark chiral
symmetry starts at lower temperatures. When considering the EPNJL model with a
Polyakov loop scale parameter that depends on the magnetic field, it is
possible to obtain an earlier rise of the Polyakov loop with the increase of
the magnetic field and due to the entanglement, the inverse magnetic catalysis
is found as in the lattice QCD calculations.


title:
A T(1) theorem for entangled multilinear dyadic Calder\'{o}n-Zygmund
  operators

abstract:
  We prove a boundedness criterion for a class of dyadic multilinear forms
acting on two-dimensional functions. Their structure is more general than the
one of classical multilinear Calder\'{o}n-Zygmund operators as several
functions can now depend on the same one-dimensional variable. The study of
this class is motivated by examples related to the two-dimensional bilinear
Hilbert transform and to bilinear ergodic averages. This paper is a sequel to
the prior paper arXiv:1108.0917 by the first author.


title:
Feasibility of utilizing Cherenkov Telescope Array gamma-ray telescopes
  as free-space optical communication ground stations

abstract:
  The signals that will be received on Earth from deep-space probes in future
implementations of free-space optical communication will be extremely weak, and
new ground stations will have to be developed in order to support these links.
This paper addresses the feasibility of using the technology developed in the
gamma-ray telescopes that will make up the Cherenkov Telescope Array (CTA)
observatory in the implementation of a new kind of ground station. Among the
main advantages that these telescopes provide are the much larger apertures
needed to overcome the power limitation that ground-based gamma-ray astronomy
and optical communication both have. Also, the large number of big telescopes
that will be built for CTA will make it possible to reduce costs by
economy-scale production, enabling optical communications in the large
telescopes that will be needed for future deep-space links.


title: Novel aspects of C-theories in Cosmology

abstract:
  The field equations in FRW background for the so called C-theories are
presented and investigated. In these theories the usual Ricci scalar is
substituted with $f(\mathcal{R})$ where $\mathcal{R}$ is a Ricci scalar related
to a conformally scaled metric $\hat{g}_{\mu\nu} =
\mathcal{C}(\mathcal{R})g_{\mu\nu}$, where the conformal factor itself depends
on $\mathcal{R}$. It is shown that homogeneous perturbations of this Ricci
scalar around general relativity FRW background of a large class of these
theories are either inconsistent or unstable.


title:
Large-System Analysis of Correlated MIMO Multiple Access Channels with
  Arbitrary Signaling in the Presence of Interference

abstract:
  Presence of multiple antennas on both sides of a communication channel
promises significant improvements in system throughput and power efficiency. In
effect, a new class of large multiple-input multiple-output (MIMO)
communication systems has recently emerged and attracted both scientific and
industrial attention. To analyze these systems in realistic scenarios, one has
to include such aspects as co-channel interference, multiple access and spatial
correlation. In this paper, we study the properties of correlated MIMO
multiple-access channels in the presence of external interference. Using the
replica method from statistical physics, we derive the ergodic sum-rate of the
communication for arbitrary signal constellations when the numbers of antennas
at both ends of the channel grow large. Based on these asymptotic expressions,
we also address the problem of sum-rate maximization using statistical channel
information and linear precoding. The numerical results demonstrate that when
the interfering terminals use discrete constellations, the resulting
interference becomes easier to handle compared to Gaussian signals. Thus, it
may be possible to accommodate more interfering transmitter-receiver pairs
within the same area as compared to the case of Gaussian signals. In addition,
we demonstrate numerically for the Gaussian and QPSK signaling schemes that it
is possible to design precoder matrices that significantly improve the
achievable rates at low-to-mid range of signal-to-noise ratios when compared to
isotropic precoding.


title: The Properties of $D^{*}_{s1}(2700)^{+}$

abstract:
  The new particle $D^{*}_{s1}(2700)^{+}$ has stimulated many attentions. There
are different assignments of its inherent properties. It may be a $2^3S_1$,
$1^3D_1$ or the mixture of $2^3S_1-1^3D_1$ $c\bar s$ $1^-$ state. By
considering its mass, decay modes, full width, production rate, and comparing
with current experimental data, we point out that there is another more
reasonable assignment: $D^{*}_{s1}(2700)^{+}$ could be identified as two
resonances, one of which is a $2^3S_1$ state, another is a 1D state, and both
are $c\bar s$ $1^-$ states. The two states have very close masses, which are
around 2700 MeV, and both have broad decay widths. So in experiments, the
overlapping of $DK$ or $D^*K$ invariant mass distribution coming from their
decays is found, but the current experiments could not distinguish these two
resonances and reported one particle.


title: Power to the Points: Validating Data Memberships in Clusterings

abstract:
  A clustering is an implicit assignment of labels of points, based on
proximity to other points. It is these labels that are then used for downstream
analysis (either focusing on individual clusters, or identifying
representatives of clusters and so on). Thus, in order to trust a clustering as
a first step in exploratory data analysis, we must trust the labels assigned to
individual data. Without supervision, how can we validate this assignment? In
this paper, we present a method to attach affinity scores to the implicit
labels of individual points in a clustering. The affinity scores capture the
confidence level of the cluster that claims to "own" the point. This method is
very general: it can be used with clusterings derived from Euclidean data,
kernelized data, or even data derived from information spaces. It smoothly
incorporates importance functions on clusters, allowing us to eight different
clusters differently. It is also efficient: assigning an affinity score to a
point depends only polynomially on the number of clusters and is independent of
the number of points in the data. The dimensionality of the underlying space
only appears in preprocessing. We demonstrate the value of our approach with an
experimental study that illustrates the use of these scores in different data
analysis tasks, as well as the efficiency and flexibility of the method. We
also demonstrate useful visualizations of these scores; these might prove
useful within an interactive analytics framework.


title:
Supersolid states in a spin system-phase diagram and collective
  excitations

abstract:
  Phases analogous to supersolids can be realized in spin systems. Here we
obtain the phase diagram of a frustrated dimer spin-1/2 system on a square
lattice and study the collective excitation spectra, focusing on the supersolid
state (SS). In the phase diagram on a parameter space of the exchange
interaction and magnetic field, we find, on top of the SS phase, a phase that
has no counterpart in the Bose Hubbard model and this state becomes dominant at
the region where the enhancement of SS occurs in the bose Hubbard model. We
then investigate the excitation spectrum and spin- spin correlation, which can
be detected by neutron scattering experiments. We obtain an analytic expression
for the spin wave velocity, which agrees with hydrodynamic relations. The
intensity of excitation modes in the spin-spin correlation function is
calculated and their change in the supersolid and superfluid states is
discussed.


title:
A recursive construction of joint eigenfunctions for the hyperbolic
  nonrelativistic Calogero-Moser Hamiltonians

abstract:
  We obtain symmetric joint eigenfunctions for the commuting PDOs associated to
the hyperbolic Calogero-Moser N-particle system. The eigenfunctions are
constructed via a recursion scheme, which leads to representations by
multidimensional integrals whose integrands are elementary functions. We also
tie in these eigenfunctions with the Heckman-Opdam hypergeometric function for
the root system A_{N-1}.


title: How modular structure can simplify tasks on networks

abstract:
  By considering the task of finding the shortest walk through a network we
find an algorithm for which the run time is not as O(2^n), with n being the
number of nodes, but instead scales with the number of nodes in a coarsened
network. This coarsened network has a number of nodes related to the number of
dense regions in the original graph. Since we exploit a form of local community
detection as a preprocessing, this work gives support to the project of
developing heuristic algorithms for detecting dense regions in networks:
preprocessing of this kind can accelerate optimization tasks on networks. Our
work also suggests a class of empirical conjectures for how structural features
of efficient networked systems might scale with system size.


title:
Observation of even denominator fractional quantum Hall effect in
  suspended bilayer graphene

abstract:
  We investigate low-temperature magneto-transport in recently developed,
high-quality multi-terminal suspended bilayer graphene devices, enabling the
independent measurement of the longitudinal and transverse resistance. We
observe clear signatures of the fractional quantum Hall effect, with different
states that are either fully developed, and exhibit a clear plateau in the
transverse resistance with a concomitant dip in longitudinal resistance, or
incipient, and exhibit only a longitudinal resistance minimum. All observed
states scale as a function of filling factor nu, as expected. An unprecedented
even-denominator fractional state is observed at nu = -1/2 on the hole side,
exhibiting a clear plateau in Rxy quantized at the expected value of 2h/e^2
with a precision of ~0.5%. Many of our observations, together with a recent
electronic compressibility measurement performed in graphene bilayers on
hexagonal boron-nitride (hBN) substrates, are consistent with a recent theory
that accounts for the effect of the degeneracy between the N=0 and N=1 Landau
levels in the fractional quantum Hall effect, and predicts the occurrence of a
Moore-Read type nu = -1/2 state. Owing to the experimental flexibility of
bilayer graphene --which has a gate-dependent band structure, can be easily
accessed by scanning probes, and can be contacted with materials such as
superconductors--, our findings offer new possibilities to explore the
microscopic nature of even-denominator fractional quantum Hall effect.


title:
On the non-Gaussian fluctuations of the giant cluster for percolation on
  random recursive trees

abstract:
  We consider a Bernoulli bond percolation on a random recursive tree of size
$n\gg 1$, with supercritical parameter $p_n=1-c/\ln n$ for some $c>0$ fixed. It
is known that with high probability, there exists then a unique giant cluster
of size $G_n\sim \e^{-c}$, and it follows from a recent result of Schweinsberg
\cite{Sch} that $G_n$ has non-gaussian fluctuations. We provide an explanation
of this by analyzing the effect of percolation on different phases of the
growth of recursive trees. This alternative approach may be useful for studying
percolation on other classes of trees, such as for instance regular trees.


title:
Analysis of transient growth using an orthogonal decomposition of the
  velocity field in the Orr-Sommerfeld Squire equations

abstract:
  Despite remarkable accomplishment, the classical hydrodynamic stability
theory fails to predict transition in wall-bounded shear ow. The shortcoming of
this modal approach was found 20 years ago and is linked to the
non-orthogonality of the eigenmodes of the linearised problem, de noted by the
Orr Sommerfeld and Squire equations. The associated eigenmodes of this
linearised problem are the normal velocity and the normal vorticity eigenmodes,
which are not dimensionally homogeneous quantities. Thus non-orthogonality
condition between these two families of eigenmodes have not been clearly
demonstrated yet. Using an orthogonal decomposition of solenoidal velocity
fields, a velocity perturbation is expressed as an L2 orthogonal sum of an
OrrSommerfeld velocity field (function of the perturbation normal velocity) and
a Squirevelocity field (function of the perturbation normal vorticity). Using
this decomposition,a variational formulation of the linearised problem is
written, that is equivalent to the Orr Sommerfeld and Squire equations, but
whose eigenmodes consist of two families of velocity eigenmodes (thus
dimensionally homogeneous). We demonstrate that these two sets are
non-orthogonal and linear combination between them can produce large transient
growth. Using this new formulation, the link between optimal mode and
continuous mode transition will also be clari fied, as the role of direct
resonance. Numerical solutions are presented to illustrate the analysis in the
case of thin boundary layers developing between two parallel walls at large
Reynolds number. Characterisations of the destabilizing perturbations will be
given in that case.


title:
Influence of an inner core on the long-period forced librations of
  Mercury

abstract:
  The planetary perturbations on Mercury's orbit lead to long-period forced
librations of Mercury's mantle. These librations have previously been studied
for a planet with two layers: a mantle and a liquid core. Here, we calculate
how the presence of a solid inner core in the liquid outer core influences the
long-period forced librations. Mantle-inner core coupling affects the
long-period libration dynamics mainly by changing the free libration: first, it
lengthens the period of the free libration of the mantle, and second, it adds a
second free libration, closely related to the free gravitational oscillation
between the mantle and inner core. The two free librations have periods between
2.5 and 18 y depending on the internal structure. We show that large amplitude
long-period librations of 10's of arcsec are generated when the period of a
planetary forcing approaches one of the two free libration periods. These
amplitudes are sufficiently large to be detectable by spacecraft measurements
of the libration of Mercury. The amplitudes of the angular velocity of
Mercury's mantle at planetary forcing periods are also amplified by the
resonances, but remain much smaller than the current precision of Earth-based
radar observations unless the period is very close to a free libration period.
The inclusion of mantle-inner core coupling in the rotation model does not
significantly improve the fit to the radar observations. This implies that it
is not yet possible to determine the size of the inner core of Mercury on the
basis of available observations of Mercury's rotation rate. Future observations
of the long-period librations may be used to constrain the interior structure
of Mercury, including the size of its inner core.


title:
Generation and measurement of sub-picosecond electron bunch in
  photocathode rf gun

abstract:
  We consider a scheme to generate sub-picosecond electron bunch in the
photocathode rf gun by improving the acceleration gradient in the gun, suitably
tuning the bunch charge, the laser spot size and the acceleration phase, and
reducing the growth of transverse emittance by laser shaping. A nondestructive
technique is also reported to measure the electron bunch length, by measuring
the high-frequency spectrum of wakefield radiation which is caused by the
passage of a relativistic electron bunch through a channel surrounded by a
dielectric.


title:
Weak law of large numbers for some Markov chains along non homogeneous
  genealogies

abstract:
  We consider a population with non-overlapping generations, whose size goes to
infinity. It is described by a discrete genealogy which may be time
non-homogeneous and we pay special attention to branching trees in varying
environments. A Markov chain models the dynamic of the trait of each individual
along this genealogy and may also be time non-homogeneous. Such models are
motivated by transmission processes in the cell division,
reproduction-dispersion dynamics or sampling problems in evolution. We want to
determine the evolution of the distribution of the traits among the population,
namely the asymptotic behavior of the proportion of individuals with a given
trait. We prove some quenched laws of large numbers which rely on the
ergodicity of an auxiliary process, in the same vein as \cite{guy,delmar}.
Applications to time inhomogeneous Markov chains lead us to derive a backward
(with respect to the environment) law of large numbers and a law of large
numbers on the whole population until generation $n$. A central limit is also
established in the transient case.


title:
A fundamental dichotomy for definably complete expansions of ordered
  fields

abstract:
  An expansion of a definably complete field either defines a discrete subring,
or the image of a definable discrete set under a definable map is nowhere
dense. As an application we show a definable version of Lebesgue's
differentiation theorem.


title: The Host Halos of OI Absorbers in the Reionization Epoch

abstract:
  We use a radiation hydrodynamic simulation of the hydrogen reionization epoch
to study OI absorbers at z~6. The intergalactic medium (IGM) is reionized
before it is enriched, hence OI absorption originates within dark matter halos.
The predicted abundance of OI absorbers is in reasonable agreement with
observations. At z=10, roughly 70% of sightlines through atomically-cooled
halos encounter a visible (N_OI > 10^14 cm^-2) column. Reionization ionizes and
removes gas from halos less massive than 10^8.4 M_0, but 20% of sightlines
through more massive halos encounter visible columns even at z=5. The mass
scale of absorber host halos is 10-100 times smaller than the halos of Lyman
break galaxies and Lyman-alpha emitters, hence absorption probes the dominant
ionizing sources more directly. OI absorbers have neutral hydrogen columns of
10^19-10^21 cm^-2, suggesting a close resemblance between objects selected in
OI and HI absorption. Finally, the absorption in the foreground of the z=7.085
quasar ULASJ1120+0641 cannot originate in a dark matter halo because halo gas
at the observed HI column density is enriched enough to violate the upper
limits on the OI column. By contrast, gas at less than one third the cosmic
mean density satisfies the constraints. Hence the foreground absorption likely
originates in the IGM.


title:
The phase sensitivity of an SU(1,1) interferometer with homodyne
  detection

abstract:
  We theoretically study the phase sensitivity of the SU(1,1) interferometer
with a coherent light together with a squeezed vacuum input case using the
method of homodyne. We find that the homodyne detection has better sensitivity
than the intensity detection under this input case. For a certain intensity of
coherent light (squeezed light) input, the relative phase sensitivity is not
always better with increasing the squeezed strength (coherent light strength).
The phase sensitivity can reach the Heisenberg limit only under a certain
moderate parameter interval, which can be realized with current experiment
ability.


title: Nonequilibrium thermodynamics and glassy rheology

abstract:
  Mechanically driven glassy systems and complex fluids exhibit a wealth of
rheological behaviors that call for theoretical understanding and predictive
modeling. A distinct feature of these nonequilibrium systems is their
dynamically evolving state of structural disorder, which determines their
rheological responses. Here we highlight a recently developed nonequilibrium
thermodynamic framework in which the structural state is characterized by an
evolving effective disorder temperature that may differ from the ordinary
thermal temperature. The specific properties of each physical system of
interest are described by a small set of coarse-grained internal state
variables and their associated energies and entropies. The dynamics of the
internal variables, together with the flow of energy and entropy between the
different parts of the driven system, determine continuum-level rheological
constitutive laws. We conclude with brief descriptions of several successful
applications of this framework.


title: Searching for New Physics through correlations of Flavour Observables

abstract:
  The coming flavour precision era will allow to uncover various patterns of
flavour violation in different New Physics scenarios. We discuss different
classes of them. A simple extension of the Standard Model that generally
introduces new sources of flavour and CP violation as well as right-handed
currents is the addition of a U(1) gauge symmetry to the SM gauge group. In
such Z' models correlations between various flavour observables emerge that
could test and distinguish different Z' scenarios. A concrete model with
flavour violating Z' couplings is the 331 model based on the gauge group
SU(3)_C x SU(3)_L x U(1)_X. We also study tree-level FCNCs mediated by heavy
neutral scalars and/or pseudo-scalars H^0(A^0). Furthermore the implications of
an additional approximate global U(2)^3 flavour symmetry is shortly discussed.
Finally a model with vectorlike fermions and flavour violating Z couplings is
presented. We identify a number of correlations between various observables
that differ from those known from constrained minimal flavour violating (CMFV)
models and that could test and distinguish these different scenarios.


title: Implosions and hypertoric geometry

abstract:
  The geometry of the universal hyperKaehler implosion for SU(n) is explored.
In particular, we show that the universal hyperKaehler implosion naturally
contains a hypertoric variety described in terms of quivers. Furthermore, we
discuss a gauge theoretic approach to hyperKaehler implosion.


title:
Double potential step chronoamperometry at a microband electrode: Theory
  and experiment

abstract:
  Numerical simulation is used to characterise double potential step
chronoamperometry at a microband electrode for a simple redox process A + e-
goes to B, under conditions of full support such that diffusion is the only
active form of mass transport. The method is shown to be highly sensitive for
the measurement of the diffusion coefficient of both A and B, and is applied to
the one electron reduction of decamethylferrocene (DMFc), DMFc - e- goes to
DMFc+, in the room temperature ionic liquid 1-propyl-3-methylimidazolium
bistrifluoromethylsulfonylimide. Theory and experiment are seen to be in
excellent agreement and the following values of the diffusion coefficients were
measured at 298 K: D_(DMFc) = 2.50 x 10^(-7) cm^(2) s^(-1) and D_(DMFc+) = 9.50
x 10^(-8) cm^(2) s^(-1).


title:
Sinusoidally-Modulated Graphene Leaky-Wave Antenna for Electronic
  Beamscanning at THz

abstract:
  This paper proposes the concept, analysis and design of a
sinusoidally-modulated graphene leaky-wave antenna with beam scanning
capabilities at a fixed frequency. The antenna operates at terahertz
frequencies and is composed of a graphene sheet transferred onto a
back-metallized substrate and a set of polysilicon DC gating pads located
beneath it. In order to create a leaky-mode, the graphene surface reactance is
sinusoidally-modulated via graphene's field effect by applying adequate DC bias
voltages to the different gating pads. The pointing angle and leakage rate can
be dynamically controlled by adjusting the applied voltages, providing
versatile beamscanning capabilities. The proposed concept and achieved
performance, computed using realistic material parameters, are extremely
promising for beamscanning at THz frequencies, and could pave the way to
graphene-based reconfigurable transceivers and sensors.


title: Combination and Standar Model Scalar Boson Properties in CMS

abstract:
  Combination results of the recently discovered boson are presented using data
samples corresponding to integrated luminosities of up to 5.1 $\invfb$ at 7 TeV
and up to 12.2 $\invfb$ at 8 TeV of proton-proton collisions collected with CMS
experiment at LHC. The significance of the new boson is 6.9 $\sigma$ with mass
measured to be 125.8 $\pm$ 0.4 (stat) $\pm$ 0.4 (syst). The event yields
obtained by the different analyses targeting specific decay modes and
production mechanisms are consistent with those predicted for the stand model
(SM) Higgs boson. The best-fit signal strength for all channels combined,
expressed in units of the SM Higgs boson cross section, is 0.88 $\pm$ 0.21 at
the measured mass. The consistency of the couplins of the observed boson with
those expected for the SM Higgs boson is tested in various ways, and no
significant deviations are found. Results on the test of different spin-parity
hypotheses of the observed boson are also shown, but with updated data samples
corresponding to integrated luminosities of 5.1 $\invfb$ at 7 TeV and 19.6
$\invfb$ at 8 TeV in two channels H $\rightarrow$ WW $\rightarrow~2\ell2\nu$
and H $\rightarrow$ ZZ $\rightarrow~4\ell$ separately. Under the assumption
that the observed boson has spin 0 and positive parity, the pure scalar
hypothesis is found to be consistent with the observed boson when compared to
other tested spin-parity hypotheses. The data in the H $\rightarrow$ ZZ
$\rightarrow~4\ell$ channel disfavor the pseudo-scalar hypothesis $0^-$ with a
CLs value of 0.16$%$, disfavor the pure spin-2 hypothesis of a narrow resonance
with the minimal couplings to the vector bosons with a CLs value of 1.5$%$, and
disfavor the pure spin-1 hypothesis with even smaller CLs value.